============================== prooftrans ============================ Prover9 (64) version 2017-09A, September 2017. Process 24650 was started by veroff on theorem, Sat Jan 4 15:21:28 2020 The command was "prover9 -f Ka_eq_aK3.in". ============================== end of head =========================== ============================== end of input ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 1 at 5142.47 (+ 147.28) seconds: "Ka_eq_aK3". % Length of proof is 15082. % Level of proof is 910. % Maximum clause weight is 82.000. % Given clauses 15203 (16.707 givens/level). 1 x * y = z & x * u = z -> y = u # label(non_clause). [assumption]. 2 x * y = z & u * y = z -> x = u # label(non_clause). [assumption]. 3 x * y = x * z -> y = z # label(non_clause). [assumption]. 4 x * y = z * y -> x = z # label(non_clause). [assumption]. 5 a(x,y,z) = 1 -> L(z,y,x) = z # label(non_clause). [assumption]. 6 L(x,y,z) = x -> a(z,y,x) = 1 # label(non_clause). [assumption]. 7 T(x,y) = x -> T(y,x) = y # label(non_clause). [assumption]. 8 T(x,y) = x -> K(x,y) = 1 # label(non_clause). [assumption]. 9 K(x,y) = 1 -> T(x,y) = x # label(non_clause). [assumption]. 10 K(a(x,y,z),u) = a(x,y,K(z,u)) # label("Ka_eq_aK3") # label(non_clause) # label(goal). [goal]. 11 1 * x = x. [assumption]. 12 x * 1 = x. [assumption]. 13 x \ (x * y) = y. [assumption]. 14 x * (x \ y) = y. [assumption]. 15 (x * y) / y = x. [assumption]. 16 (x / y) * y = x. [assumption]. 17 x * y != z | x * u != z | u = y. [clausify(1)]. 18 x * y != z | u * y != z | u = x. [clausify(2)]. 19 x * y != x * z | y = z. [clausify(3)]. 20 x * y != z * y | x = z. [clausify(4)]. 21 x != y | z * x = z * y. [assumption]. 22 x != y | x * z = y * z. [assumption]. 23 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 24 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(23),flip(a)]. 25 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 26 K(x,y) = (y * x) \ (x * y). [copy(25),flip(a)]. 27 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 28 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(27),flip(a)]. 29 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 30 R(x,y,z) = ((x * y) * z) / (y * z). [copy(29),flip(a)]. 31 x \ (y * x) = T(y,x). [assumption]. 32 T(x,y) = y \ (x * y). [copy(31),flip(a)]. 33 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 34 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 35 T(x,y) != x | T(y,x) = y. [clausify(7)]. 36 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 37 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 38 T(T(x,y),z) = T(T(x,z),y). [assumption]. 39 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 40 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(39),flip(a)]. 41 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 42 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(41),flip(a)]. 43 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 44 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(43),flip(a)]. 45 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 46 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 47 K(a(c1,c2,c3),c4) != a(c1,c2,K(c3,c4)) # label("Ka_eq_aK3") # answer("Ka_eq_aK3"). [deny(10)]. 48 a(c1,c2,K(c3,c4)) != K(a(c1,c2,c3),c4) # answer("Ka_eq_aK3"). [copy(47),flip(a)]. 49 x * (1 * 1) = x. [para(11(a,2),12(a,1,2))]. 50 1 \ x = x. [para(11(a,1),13(a,1,2))]. 51 x \ x = 1. [para(12(a,1),13(a,1,2))]. 52 x \ (x * (y \ (y * z))) = z. [para(13(a,2),13(a,1))]. 53 (x * (x \ 1)) * y = y. [para(14(a,2),11(a,1,1))]. 54 x * (y * (y \ 1)) = x. [para(14(a,2),12(a,1,2))]. 55 x \ (y * (y \ (x * z))) = z. [para(14(a,2),13(a,1,2))]. 56 x * (y * (y \ (x \ z))) = z. [para(14(a,2),14(a,1,2))]. 57 x / x = 1. [para(11(a,1),15(a,1,1))]. 58 x / 1 = x. [para(12(a,1),15(a,1,1))]. 59 x / (y \ x) = y. [para(14(a,1),15(a,1,1))]. 60 ((1 / x) * x) * y = y. [para(16(a,2),11(a,1,1))]. 61 (x / y) \ x = y. [para(16(a,1),13(a,1,2))]. 62 x \ (((x * y) / z) * z) = y. [para(16(a,2),13(a,1,2))]. 63 (x \ (x * (y / z))) * z = y. [para(13(a,2),16(a,1,1))]. 64 ((x * (x \ y)) / z) * z = y. [para(16(a,2),14(a,1))]. 65 (((x * y) / z) * z) / y = x. [para(16(a,2),15(a,1,1))]. 66 (((x / y) / z) * z) * y = x. [para(16(a,2),16(a,1,1))]. 67 1 * x != y | x = y. [para(11(a,1),19(a,2))]. 68 x * y != x | 1 = y. [para(12(a,1),19(a,1)),flip(a)]. 69 (x * y) * 1 != x * z | z = y. [para(12(a,2),19(a,2)),flip(a)]. 70 x \ (x * (y * z)) != y * u | u = z. [para(13(a,2),19(a,2)),flip(a)]. 71 x * y != z | x \ z = y. [para(14(a,1),19(a,1)),flip(a)]. 72 x * (x \ (y * z)) != y * u | u = z. [para(14(a,2),19(a,2)),flip(a)]. 73 (x / y) * z != x | z = y. [para(16(a,1),19(a,2))]. 74 ((x * y) / z) * z != x * u | u = y. [para(16(a,2),19(a,2)),flip(a)]. 75 x * 1 != y | x = y. [para(12(a,1),20(a,2))]. 76 x * (y \ z) != z | x = y. [para(14(a,1),20(a,2))]. 77 ((x * y) * z) / z != u * y | u = x. [para(15(a,2),20(a,2)),flip(a)]. 78 x * y != z | z / y = x. [para(16(a,1),20(a,1)),flip(a)]. 80 x * (y * (y \ z)) = x * z. [hyper(21,a,14,a)]. 81 ((x / y) * y) * z = x * z. [hyper(22,a,16,a)]. 82 (x * (x \ y)) * z = y * z. [hyper(22,a,14,a)]. 83 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(24(a,2),14(a,1,2))]. 84 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(14(a,1),24(a,2,2,1)),flip(a)]. 85 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(16(a,1),24(a,2,1,2)),flip(a)]. 86 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(16(a,1),24(a,2,2,1)),flip(a)]. 87 (x * y) * K(y,x) = y * x. [para(26(a,2),14(a,1,2))]. 88 x \ ((y \ x) * y) = K(y \ x,y). [para(14(a,1),26(a,2,1)),flip(a)]. 89 ((x \ y) * x) \ y = K(x,x \ y). [para(14(a,1),26(a,2,2)),flip(a)]. 90 x \ (y * (x / y)) = K(y,x / y). [para(16(a,1),26(a,2,1)),flip(a)]. 91 (x * (y / x)) \ y = K(y / x,x). [para(16(a,1),26(a,2,2)),flip(a)]. 92 x \ (1 * (x * y)) = L(y,x,1). [para(11(a,1),28(a,2,1)),flip(a)]. 93 (x * 1) \ (x * y) = L(y,1,x). [para(11(a,1),28(a,2,2,2)),flip(a)]. 94 (x * y) \ (x * y) = L(1,y,x). [para(12(a,1),28(a,2,2,2)),flip(a)]. 95 (x * y) * L(z,y,x) = x * (y * z). [para(28(a,2),14(a,1,2))]. 96 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(14(a,1),28(a,2,1)),flip(a)]. 97 L(x \ y,x,z) = (z * x) \ (z * y). [para(14(a,1),28(a,2,2,2))]. 98 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(16(a,1),28(a,2,1)),flip(a)]. 99 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(16(a,1),28(a,2,2,2))]. 100 (x * y) / (x * y) = R(1,x,y). [para(11(a,1),30(a,2,1,1)),flip(a)]. 101 ((x * 1) * y) / y = R(x,1,y). [para(11(a,1),30(a,2,2)),flip(a)]. 102 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(14(a,1),30(a,2,1,1))]. 103 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(14(a,1),30(a,2,1))]. 104 R(x,y,z) * (y * z) = (x * y) * z. [para(30(a,2),16(a,1,1))]. 105 R(x / y,y,z) = (x * z) / (y * z). [para(16(a,1),30(a,2,1,1))]. 106 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(16(a,1),30(a,2,2)),flip(a)]. 107 T(1,x) = x \ x. [para(11(a,1),32(a,2,2))]. 108 T(x,x) = x. [para(32(a,2),13(a,1))]. 109 x * T(y,x) = y * x. [para(32(a,2),14(a,1,2))]. 110 T(x,x \ y) = (x \ y) \ y. [para(14(a,1),32(a,2,2))]. 111 T(x / y,y) = y \ x. [para(16(a,1),32(a,2,2))]. 112 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(42(a,2),38(a,1,1)),flip(a)]. 113 x \ (1 \ (x * y)) = y. [hyper(17,a,14,a,b,50,a(flip)),flip(a)]. 114 (x * (x \ 1)) \ y = y. [para(14(a,2),50(a,1,1))]. 115 ((1 / x) * x) \ y = y. [para(16(a,2),50(a,1,1))]. 117 (x \ x) \ y = y. [para(51(a,2),50(a,1,1))]. 118 x / ((1 / y) * y) = x. [para(16(a,2),58(a,1,2))]. 119 T(T(x,y),x) = T(x,y). [para(108(a,1),38(a,1,1)),flip(a)]. 120 x \ x = 1 * 1. [hyper(17,a,14,a,b,49,a),flip(a)]. 121 (x / (y \ x)) * z = y * z. [hyper(22,a,59,a)]. 122 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(24(a,2),59(a,1,2))]. 123 (x * (y * z)) / L(z,y,x) = x * y. [para(28(a,2),59(a,1,2))]. 124 (x * y) / T(x,y) = y. [para(32(a,2),59(a,1,2))]. 125 x / (y / ((z \ x) \ y)) = z. [para(59(a,2),59(a,1,2))]. 126 ((x / y) \ x) * z = y * z. [hyper(22,a,61,a)]. 127 x * ((y / (x \ z)) \ y) = z. [para(61(a,2),14(a,1,2))]. 128 R(x,y,z) \ ((x * y) * z) = y * z. [para(30(a,2),61(a,1,1))]. 129 ((x / (y / z)) \ x) \ y = z. [para(61(a,2),61(a,1,1))]. 130 T(1,x) = 1. [para(107(a,2),51(a,1))]. 131 K(1,x) = 1. [hyper(36,a,130,a)]. 132 T(x,1) = x. [hyper(35,a,130,a)]. 134 x / T(1,y) = x. [para(130(a,2),58(a,1,2))]. 135 T(T(1,x),y) = 1. [para(130(a,2),130(a,1,1))]. 136 K(x,1) = 1. [hyper(36,a,132,a)]. 137 T(x,y \ y) = x. [para(51(a,2),132(a,1,2))]. 138 x \ x != y | 1 = y. [para(120(a,2),67(a,1))]. 139 x * (y * (y \ 1)) != z | x = z. [para(14(a,2),75(a,1,2))]. 140 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(53(a,1),30(a,2,1))]. 141 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(54(a,1),24(a,2,1)),flip(a)]. 142 L(x \ 1,x,y) = (y * x) \ y. [para(54(a,1),28(a,2,2))]. 143 R(1 / x,x,y) = y / (x * y). [para(60(a,1),30(a,2,1))]. 144 T((x * y) / x,x) = y. [hyper(17,a,16,a(flip),b,109,a)]. 145 (x * T(y,x)) / x = y. [hyper(18,a,16,a,b,109,a(flip)),flip(a)]. 146 x \ (y * T(x,y)) = y. [hyper(17,a,14,a,b,109,a(flip)),flip(a)]. 147 (x \ y) * T(x,x \ y) = y. [para(109(a,2),14(a,1))]. 148 x * (y * (y \ T(z,x))) = z * x. [para(14(a,2),109(a,1,2))]. 149 x * T(y / x,x) = y. [para(109(a,2),16(a,1))]. 150 x * y != z * x | T(z,x) = y. [para(109(a,1),19(a,1)),flip(a)]. 151 x * T(y,x) != z * x | z = y. [para(109(a,2),20(a,2)),flip(a)]. 152 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(109(a,1),24(a,2,1,2)),flip(a)]. 153 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(109(a,1),24(a,2,2,1)),flip(a)]. 154 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(109(a,1),24(a,2,2)),flip(a)]. 155 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(109(a,1),26(a,2,1)),flip(a)]. 156 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(109(a,1),28(a,2,1)),flip(a)]. 157 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(109(a,1),28(a,2,2,2)),flip(a)]. 158 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(109(a,1),30(a,2,1,1)),flip(a)]. 159 T(x,y) \ (x * y) = T(y,T(x,y)). [para(109(a,1),32(a,2,2)),flip(a)]. 160 x * T(T(y,x),z) = T(y,z) * x. [para(38(a,1),109(a,1,2))]. 161 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(40(a,2),109(a,1,2))]. 162 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(42(a,2),109(a,1,2))]. 163 T(T(x / y,z),y) = T(y \ x,z). [para(111(a,1),38(a,1,1)),flip(a)]. 164 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(111(a,1),40(a,1,1)),flip(a)]. 165 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(111(a,1),42(a,1,1)),flip(a)]. 166 T(x / (x / y),x / y) = y. [para(111(a,2),61(a,1))]. 167 K(x \ 1,x) = (x \ 1) * x. [para(114(a,1),26(a,2))]. 168 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(114(a,1),28(a,2)),flip(a)]. 169 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [para(115(a,1),24(a,2)),flip(a)]. 170 K(x,1 / x) = x * (1 / x). [para(115(a,1),26(a,2))]. 171 (1 / x) * (x * y) = L(y,x,1 / x). [para(115(a,1),28(a,2)),flip(a)]. 172 (x * (1 / y)) * y = R(x,1 / y,y). [para(118(a,1),30(a,2)),flip(a)]. 173 T(x,T(x,y)) = x. [hyper(35,a,119,a)]. 174 T(T(T(x,y),z),x) = T(T(x,y),z). [para(119(a,1),38(a,1,1)),flip(a)]. 175 T(x,y) * x = x * T(x,y). [para(119(a,1),109(a,1,2)),flip(a)]. 176 x / T(y,y \ x) = y \ x. [para(14(a,1),124(a,1,1))]. 177 (T(x,y) * z) / T(T(x,z),y) = z. [para(38(a,1),124(a,1,2))]. 178 (R(x,y,z) * u) / R(T(x,u),y,z) = u. [para(42(a,2),124(a,1,2))]. 179 (x * y) / T(y,T(x,y)) = T(x,y). [para(109(a,1),124(a,1,1))]. 180 T(T((x * y) / x,z),x) = T(y,z). [para(144(a,1),38(a,1,1)),flip(a)]. 181 T((x * y) / x,y) = (x * y) / x. [para(144(a,1),173(a,1,2))]. 182 (x * T(T(y,x),z)) / x = T(y,z). [para(38(a,1),145(a,1,1,2))]. 184 x \ (y * (y \ x)) = 1. [para(12(a,1),55(a,1,2,2,2))]. 185 (x / y) \ (z * (z \ x)) = y. [para(16(a,1),55(a,1,2,2,2))]. 186 x \ ((x * y) * L(z,y,x)) = y * z. [para(28(a,2),55(a,1,2,2))]. 187 x * (x \ y) = y * 1. [para(184(a,1),14(a,1,2)),flip(a)]. 188 x * (x \ y) = y * (z * (z \ 1)). [para(14(a,2),187(a,2,2))]. 190 (x / y) * y = x * 1. [para(61(a,1),187(a,1,2))]. 192 (x / y) * y = z * (z \ x). [para(190(a,2),187(a,2)),flip(a)]. 193 L(x \ (y \ z),x,y) = (y * x) \ z. [para(56(a,1),28(a,2,2))]. 194 x * (x \ (y * z)) = y * (u * (u \ z)). [para(55(a,1),56(a,1,2,2,2)),flip(a)]. 195 ((1 * x) / y) \ x = y. [para(62(a,1),113(a,1,2))]. 196 1 \ x = 1 * x. [para(57(a,1),195(a,1,1))]. 197 1 \ x != y | x = y. [para(196(a,2),67(a,1))]. 198 ((x * (x \ y)) / z) \ y = z. [hyper(71,a,64,a)]. 199 (R(x,y,z) * (y * z)) / z = x * y. [para(30(a,2),65(a,1,1,1))]. 200 R((x / y) / z,z,y) = x / (z * y). [para(66(a,1),30(a,2,1))]. 201 ((x / y) * y) * (x \ z) = z. [para(59(a,1),66(a,1,1,1,1))]. 202 ((x * y) / z) * z = ((x / u) * u) * y. [para(65(a,1),66(a,1,1,1,1)),flip(a)]. 203 x \ (x * y) = z * (z \ y). [hyper(71,a,80,a)]. 204 (x / (y * (y \ z))) * z = x. [para(80(a,1),16(a,1))]. 205 (x * y) / y = (x / z) * z. [hyper(78,a,81,a)]. 206 x * y != z * y | (z / u) * u = x. [para(81(a,1),20(a,2)),flip(b)]. 207 ((x / y) * y) * z != u | x \ u = z. [para(81(a,2),71(a,1))]. 209 x * K(y \ x,y) = (y \ x) * y. [para(14(a,1),87(a,1,1))]. 210 x * K(y,x / y) = y * (x / y). [para(16(a,1),87(a,1,1))]. 211 (x * y) * z != y * x | K(y,x) = z. [para(87(a,1),19(a,1)),flip(a)]. 213 (x * y) \ ((y * x) * (K(x,y) * z)) = L(z,K(x,y),y * x). [para(87(a,1),28(a,2,1)),flip(a)]. 214 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(87(a,1),28(a,2,2,2)),flip(a)]. 215 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(87(a,1),30(a,2,1)),flip(a)]. 216 K(x,y) \ (x * y) = T(y * x,K(x,y)). [para(87(a,1),32(a,2,2)),flip(a)]. 217 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(22,a,110,a)]. 218 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(21,a,110,a)]. 219 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(110(a,1),38(a,1,1)),flip(a)]. 220 R(T(x,R(x,y,z) \ u),y,z) = (R(x,y,z) \ u) \ u. [para(110(a,1),42(a,2))]. 221 T(x / y,(x / y) \ x) = y \ x. [para(61(a,1),110(a,2,1))]. 222 T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. [para(110(a,2),110(a,1,2))]. 223 (x * y) / y = z / (x \ z). [hyper(78,a,121,a)]. 224 x / (y \ x) = z * (z \ y). [hyper(18,a,82,a,b,121,a)]. 225 x \ ((y / (x \ y)) * z) = z. [hyper(17,a,14,a(flip),b,121,a)]. 226 x * (((y / x) \ y) \ z) = z. [para(126(a,1),14(a,1))]. 227 ((x / y) \ x) * (y \ z) = z. [para(126(a,2),14(a,1))]. 228 ((x / y) \ x) * z != u | y \ u = z. [para(126(a,2),71(a,1))]. 229 (x / y) * ((z / y) \ z) = x. [para(61(a,1),127(a,1,2,1,2))]. 230 (x \ y) * z != y | T(x,x \ y) = z. [para(147(a,1),19(a,1)),flip(a)]. 231 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(147(a,1),28(a,2,2,2))]. 232 T(x \ y,T(x,x \ y)) = T(x,x \ y) \ y. [para(147(a,1),32(a,2,2))]. 233 T(x / (x / y),(z / (x / y)) \ z) = y. [para(61(a,2),166(a,1,2))]. 234 (x \ 1) \ K(x \ 1,x) = x. [hyper(71,a,167,a(flip))]. 236 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(167(a,2),24(a,2,1,2)),flip(a)]. 237 K((x * y) \ 1,x * y) \ ((((x * y) \ 1) * x) * y) = a((x * y) \ 1,x,y). [para(167(a,2),24(a,2,1)),flip(a)]. 238 x \ K(x,1 / x) = 1 / x. [hyper(71,a,170,a(flip))]. 239 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(170(a,2),28(a,2,1)),flip(a)]. 241 x * (x \ y) != z * u | y / u = z. [para(185(a,1),76(a,1,2)),flip(a),flip(b)]. 242 (((x / y) * y) / z) \ x = z. [hyper(73,a,192,a(flip))]. 243 x / (y \ ((x / z) * z)) = y. [hyper(18,a,127,a,b,192,a(flip))]. 244 (x / y) * y != z * u | z \ x = u. [para(192(a,2),19(a,1))]. 245 (x / y) * y = 1 * x. [para(50(a,1),192(a,2,2))]. 246 (x / y) * y = ((1 / z) * z) * x. [para(115(a,1),192(a,2,2))]. 247 1 * x != y * z | x / z = y. [para(245(a,1),20(a,1))]. 248 R(x,y,(x * y) \ z) \ z = y * ((x * y) \ z). [para(30(a,2),198(a,1,1))]. 249 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(201(a,1),30(a,2,1))]. 250 x \ (x * y) != z * u | z \ y = u. [para(203(a,2),19(a,1))]. 251 (x \ y) \ y = z * (z \ T(x,x \ y)). [para(147(a,1),203(a,1,2))]. 252 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(30(a,2),204(a,1,1))]. 255 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(176(a,1),227(a,1,1,1))]. 256 x * ((y / z) \ y) != u | u / z = x. [para(229(a,1),20(a,1)),flip(a)]. 257 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(176(a,1),229(a,1,2,1))]. 258 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(28(a,2),243(a,1,2))]. 259 x * y != x * z | z = y. [para(12(a,1),69(a,1))]. 260 x \ (x * y) = L(y,x,1). [para(11(a,1),92(a,1,2))]. 261 L(x,y,1) = x. [para(260(a,1),13(a,1))]. 262 x \ (x * y) = L(y,1,x). [para(12(a,1),93(a,1,1))]. 263 L(x,1,y) = x. [para(262(a,1),13(a,1))]. 264 a(x,1,y) = 1. [hyper(34,a,263,a)]. 265 L(1,x,y) = 1. [hyper(138,a,94,a),flip(a)]. 266 a(x,y,1) = 1. [hyper(34,a,265,a)]. 268 a(x,y,K(1,z)) = 1. [para(131(a,2),266(a,1,3))]. 269 R(1,x,y) = 1. [para(100(a,1),57(a,1))]. 271 (x * y) / y = R(x,1,y). [para(12(a,1),101(a,1,1,1))]. 272 R(x,1,y) = x. [para(271(a,1),15(a,1))]. 273 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(21,a,142,a)]. 274 (x * y) * L(y \ 1,y,x) = x. [para(142(a,2),14(a,1,2))]. 275 L((x \ y) \ 1,x \ y,x) = y \ x. [para(14(a,1),142(a,2,1))]. 276 L(x \ 1,x,y / x) = y \ (y / x). [para(16(a,1),142(a,2,1))]. 277 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(142(a,1),40(a,2,1)),flip(a)]. 278 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(142(a,1),44(a,1,1))]. 279 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(142(a,1),45(a,1,1)),flip(a)]. 280 x / L(y \ 1,y,x) = x * y. [para(142(a,2),59(a,1,2))]. 281 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(61(a,1),142(a,1,1))]. 282 L(x \ 1,x,1 / x) = 1 / x. [para(142(a,2),115(a,1))]. 283 L(T(x,x \ 1),x \ 1,y) = (y * (x \ 1)) \ y. [para(110(a,2),142(a,1,1))]. 284 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(22,a,143,a)]. 285 R(1 / x,x,x \ y) = (x \ y) / y. [para(14(a,1),143(a,2,2))]. 286 R(1 / (x / y),x / y,y) = y / x. [para(16(a,1),143(a,2,2))]. 287 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(143(a,1),42(a,2,1)),flip(a)]. 288 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(143(a,1),46(a,1,1)),flip(a)]. 289 R(1 / x,x,y) \ y = x * y. [para(143(a,2),61(a,1,1))]. 290 R(1 / x,x,T(y,x)) = T(y,x) / (y * x). [para(109(a,1),143(a,2,2))]. 291 (1 / x) / K(x,1 / x) = R(1 / x,x,1 / x). [para(170(a,2),143(a,2,2)),flip(a)]. 292 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(38(a,1),151(a,1,2)),flip(b)]. 293 ((1 / x) * x) * y != z * u | y / u = z. [para(16(a,2),247(a,1,1))]. 294 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(274(a,1),28(a,2,2,2))]. 295 x / L(y,1 / y,x) = x * (1 / y). [para(61(a,1),280(a,1,2,1))]. 296 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(280(a,1),226(a,1,2,1,1))]. 297 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(280(a,1),227(a,1,1,1))]. 298 L(T(x \ 1,y),x,1 / x) = T(1 / x,y). [para(282(a,1),40(a,2,1))]. 299 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(59(a,1),289(a,1,1,1))]. 300 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(13(a,1),88(a,2,1)),flip(a)]. 301 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(109(a,2),88(a,1,2))]. 302 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(167(a,2),89(a,1,1))]. 304 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(148(a,1),28(a,2,2))]. 305 x * T(x \ (y * x),z) = T(y,z) * x. [para(32(a,1),160(a,1,2,1))]. 306 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(38(a,1),160(a,1,2,1))]. 307 T(x / y,z) * y = y * T(y \ x,z). [para(111(a,1),160(a,1,2,1)),flip(a)]. 308 T((x * y) / x,z) * x = x * T(y,z). [para(144(a,1),160(a,1,2,1)),flip(a)]. 309 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(110(a,1),160(a,1,2,1))]. 310 T(x / (x / y),z) * (x / y) = (x / y) * T(y,z). [para(166(a,1),160(a,1,2,1)),flip(a)]. 311 (x * T(x \ y,z)) / x = T(y / x,z). [para(163(a,1),145(a,1,1,2))]. 312 T(x,T(T(x,y),z)) = x. [hyper(35,a,174,a)]. 313 K(x,T(T(x,y),z)) = 1. [hyper(36,a,312,a)]. 314 T((x * y) / x,T(y,z)) = (x * y) / x. [para(144(a,1),312(a,1,2,1))]. 315 (x * T(y,z)) / x = T((x * y) / x,z). [para(180(a,1),145(a,1,1,2))]. 316 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(180(a,1),151(a,1,2)),flip(b)]. 317 T(x,(y * x) / y) = x. [hyper(35,a,181,a)]. 318 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(166(a,1),182(a,1,1,2,1))]. 319 x * (y * (y \ 1)) != z * u | z \ x = u. [para(188(a,1),19(a,1))]. 321 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(209(a,1),28(a,2,2,2)),flip(a)]. 322 x * (y / x) != y * z | K(x,y / x) = z. [para(210(a,1),19(a,1))]. 323 (x * y) * L(z,y,x) != x * u | y * z = u. [para(28(a,2),72(a,1,2)),flip(b)]. 324 R(x,y,z) * (y * z) != (x * y) * u | u = z. [para(30(a,2),74(a,1,1))]. 325 L(x \ T(y * x,y),x,y) = y. [hyper(17,a,148,a(flip),b,95,a)]. 326 L(x,y,1 / y) / (y * x) = 1 / y. [hyper(18,a,246,a,b,95,a(flip)),flip(a)]. 327 x * L(y,z \ x,z) = z * ((z \ x) * y). [para(14(a,1),95(a,1,1))]. 328 x * L(y,z,x / z) = (x / z) * (z * y). [para(16(a,1),95(a,1,1))]. 329 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(95(a,1),19(a,1)),flip(a)]. 330 (x * (y * (z * u))) \ ((x * (y * z)) * L(u,z,y)) = a(x,y * z,L(u,z,y)). [para(95(a,1),24(a,2,1,2)),flip(a)]. 331 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(95(a,1),28(a,2,1)),flip(a)]. 332 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(95(a,1),28(a,2,2,2)),flip(a)]. 333 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(95(a,1),30(a,2,1,1)),flip(a)]. 334 ((x * (y * z)) * L(u,z,y)) / (y * (z * u)) = R(x,y * z,L(u,z,y)). [para(95(a,1),30(a,2,2)),flip(a)]. 335 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [para(95(a,1),32(a,2,2)),flip(a)]. 336 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(40(a,1),95(a,1,2))]. 337 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(44(a,2),95(a,1,2))]. 338 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(45(a,1),95(a,1,2))]. 339 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(109(a,1),95(a,1,1))]. 340 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [para(95(a,1),124(a,1,1))]. 341 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(95(a,1),87(a,1,1))]. 342 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(167(a,2),95(a,1,1))]. 343 L((x \ y) \ z,x \ y,x) = y \ (x * z). [para(14(a,1),97(a,2,1))]. 344 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(16(a,1),97(a,2,1))]. 345 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(24(a,2),97(a,1,1)),flip(a)]. 346 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(97(a,1),40(a,2,1)),flip(a)]. 347 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(109(a,1),97(a,2,1))]. 348 L((x \ 1) \ y,x \ 1,x) = x * y. [para(97(a,2),114(a,1))]. 349 L(x \ y,x,1 / x) = (1 / x) * y. [para(97(a,2),115(a,1))]. 350 L(K(x,y) \ z,K(x,y),y * x) = (x * y) \ ((y * x) * z). [para(87(a,1),97(a,2,1))]. 351 L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). [para(170(a,2),97(a,2,2))]. 352 (x * T(x,y)) \ (T(x,y) * z) = L(x \ z,x,T(x,y)). [para(175(a,1),97(a,2,1)),flip(a)]. 353 x / L(y \ z,y,x / z) = (x / z) * y. [para(97(a,2),243(a,1,2))]. 354 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [para(97(a,2),90(a,1))]. 355 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(95(a,1),97(a,2,1))]. 356 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(95(a,1),97(a,2,2))]. 357 L(L(x \ y,x,z),z * x,u) = (u * (z * x)) \ (u * (z * y)). [para(97(a,2),97(a,1,1))]. 358 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(139,a,104,a),flip(a)]. 359 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(17,a,188,a,b,104,a(flip)),flip(a)]. 360 R(x,y / z,z) * y = (x * (y / z)) * z. [para(16(a,1),104(a,1,2))]. 361 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(104(a,1),20(a,1))]. 362 ((x * y) * z) \ ((R(x,y,z) * y) * z) = a(R(x,y,z),y,z). [para(104(a,1),24(a,2,1)),flip(a)]. 363 ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). [para(104(a,1),26(a,2,1)),flip(a)]. 364 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [para(104(a,1),28(a,2,2)),flip(a)]. 365 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(104(a,1),30(a,2,1,1)),flip(a)]. 366 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(104(a,1),30(a,2,2)),flip(a)]. 367 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(42(a,1),104(a,1,1))]. 368 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(44(a,1),104(a,1,1))]. 369 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(46(a,1),104(a,1,1))]. 370 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(109(a,1),104(a,1,2))]. 371 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(87(a,1),104(a,1,2))]. 372 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(167(a,2),104(a,1,2))]. 373 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(104(a,1),104(a,1,2))]. 374 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(14(a,1),105(a,2,2))]. 375 R(x / (y / z),y / z,z) = (x * z) / y. [para(16(a,1),105(a,2,2))]. 376 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(105(a,1),42(a,2,1)),flip(a)]. 377 R(x / y,y,z) \ (x * z) = y * z. [para(105(a,2),61(a,1,1))]. 378 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(105(a,2),111(a,1,1))]. 379 R(x / (1 / y),1 / y,y) = x * y. [para(105(a,2),118(a,1))]. 380 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(175(a,1),105(a,2,2))]. 381 R(x / y,y,x \ z) \ z = y * (x \ z). [para(105(a,2),198(a,1,1))]. 382 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(143(a,2),105(a,1,1))]. 383 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(104(a,1),105(a,2,1))]. 384 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(104(a,1),105(a,2,2))]. 385 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(105(a,2),105(a,1,1))]. 386 (x * y) / L(z,y / z,x) = x * (y / z). [para(16(a,1),123(a,1,1,2))]. 387 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(109(a,1),123(a,1,1,2))]. 388 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(87(a,1),123(a,1,1,2))]. 389 (x * y) / L(T(z,z \ y),z \ y,x) = x * (z \ y). [para(147(a,1),123(a,1,1,2))]. 390 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [para(14(a,1),128(a,1,2,1))]. 391 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(109(a,1),128(a,1,2,1))]. 392 R(x,y,T(z,x * y)) \ (z * (x * y)) = y * T(z,x * y). [para(109(a,1),128(a,1,2))]. 393 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(87(a,1),128(a,1,2,1))]. 394 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(209(a,1),128(a,1,2,1))]. 395 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(95(a,1),128(a,1,2,1))]. 396 R(x,y,L(z,y,x)) \ (x * (y * z)) = y * L(z,y,x). [para(95(a,1),128(a,1,2))]. 397 L(x,y \ 1,y) / ((y \ 1) * x) = y. [hyper(78,a,168,a)]. 398 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(71,a,168,a)]. 399 L(x,y \ 1,y) != y * z | (y \ 1) * x = z. [para(168(a,1),19(a,1))]. 400 (x * y) \ (x * L(z,y \ 1,y)) = L((y \ 1) * z,y,x). [para(168(a,1),28(a,2,2,2)),flip(a)]. 401 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [para(109(a,1),168(a,1,2)),flip(a)]. 402 x * K(x \ 1,x) = L(x,x \ 1,x). [para(167(a,2),168(a,1,2))]. 403 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(71,a,171,a)]. 404 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(109(a,1),171(a,1,2)),flip(a)]. 405 R(x,1 / y,y) / y = x * (1 / y). [hyper(78,a,172,a)]. 406 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(193(a,1),40(a,2,1))]. 407 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(61(a,1),193(a,1,1))]. 408 R(x,y,y \ 1) / (y \ 1) = x * y. [para(54(a,1),199(a,1,1))]. 409 (x * y) / y != z * u | z \ x = u. [para(205(a,2),244(a,1))]. 410 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(276(a,1),40(a,2,1)),flip(a)]. 411 K(x,1 / x) \ x = L(x,1 / x,x). [para(170(a,2),281(a,2,1)),flip(a)]. 412 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(285(a,1),42(a,2,1)),flip(a)]. 413 R(1 / x,x,x \ 1) = x \ 1. [para(285(a,2),58(a,1))]. 414 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(285(a,2),105(a,1,1))]. 415 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(348(a,1),40(a,2,1))]. 416 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(348(a,1),44(a,1,1)),flip(a)]. 417 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(349(a,1),40(a,2,1))]. 418 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(349(a,1),44(a,1,1)),flip(a)]. 419 L(L(x \ y,z,u),x,1 / x) = L((1 / x) * y,z,u). [para(349(a,1),45(a,1,1)),flip(a)]. 420 R(x / y,y,y \ 1) = x * (y \ 1). [para(16(a,1),358(a,1,1)),flip(a)]. 421 R(x,y,y \ 1) / (y \ 1) != z * y | z = x. [para(358(a,1),77(a,1,1))]. 422 R(R(x,y,z),y * z,(y * z) \ 1) = ((x * y) * z) * ((y * z) \ 1). [para(104(a,1),358(a,1,1)),flip(a)]. 423 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(379(a,1),42(a,2,1))]. 424 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [para(40(a,1),398(a,1,2))]. 425 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [para(45(a,1),398(a,1,2))]. 426 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [para(45(a,1),403(a,1,2))]. 427 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [para(44(a,1),405(a,1,1))]. 428 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [para(44(a,1),408(a,1,1))]. 429 K(x,1 / x) * L(x,1 / x,x) = x. [para(411(a,1),14(a,1,2))]. 430 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(420(a,1),42(a,2,1))]. 431 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(420(a,1),46(a,1,1)),flip(a)]. 432 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(429(a,1),19(a,1)),flip(a)]. 434 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(32(a,1),161(a,1,2,1))]. 435 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(42(a,2),161(a,1,2,1))]. 436 L(x,y,z) * x = x * L(x,y,z). [para(108(a,1),161(a,1,2,1)),flip(a)]. 437 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(111(a,1),161(a,1,2,1)),flip(a)]. 438 L(T(x,y),z,u) * x = x * L(T(x,y),z,u). [para(119(a,1),161(a,1,2,1)),flip(a)]. 439 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(144(a,1),161(a,1,2,1)),flip(a)]. 440 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(110(a,1),161(a,1,2,1))]. 441 L(T(x / y,z),u,w) * y = y * L(T(y \ x,z),u,w). [para(163(a,1),161(a,1,2,1)),flip(a)]. 442 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [para(161(a,1),95(a,1)),flip(a)]. 443 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [para(161(a,1),186(a,1,2))]. 444 T(x,L(x,y,z)) = x. [hyper(150,a,436,a)]. 445 K(x,L(x,y,z)) = 1. [hyper(36,a,444,a)]. 446 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(275(a,1),444(a,1,2))]. 447 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(348(a,1),444(a,1,2))]. 448 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(162(a,1),19(a,1))]. 449 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(38(a,1),162(a,1,2,1))]. 450 R(x,y,z) * x = x * R(x,y,z). [para(108(a,1),162(a,1,2,1)),flip(a)]. 451 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(111(a,1),162(a,1,2,1)),flip(a)]. 452 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(119(a,1),162(a,1,2,1)),flip(a)]. 453 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(144(a,1),162(a,1,2,1)),flip(a)]. 454 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(110(a,1),162(a,1,2,1))]. 455 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(166(a,1),162(a,1,2,1)),flip(a)]. 456 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [para(162(a,2),104(a,1))]. 457 T(x,R(x,y,z)) = x. [hyper(150,a,450,a)]. 458 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(164(a,1),145(a,1,1,2))]. 459 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(165(a,1),145(a,1,1,2))]. 460 T(x / (y * x),y) = R(y \ 1,y,x). [para(143(a,1),165(a,1,1))]. 461 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(105(a,1),165(a,1,1))]. 462 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(200(a,1),165(a,1,1)),flip(a)]. 463 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(413(a,1),165(a,1,1)),flip(a)]. 464 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(286(a,1),165(a,1,1)),flip(a)]. 465 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(420(a,1),165(a,1,1)),flip(a)]. 466 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(460(a,1),109(a,1,2)),flip(a)]. 467 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(194(a,1),19(a,1))]. 468 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(202(a,1),20(a,1))]. 469 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(17,a,14,a(flip),b,217,a)]. 470 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(217(a,2),26(a,2,1)),flip(a)]. 471 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). [para(217(a,1),28(a,2,2)),flip(a)]. 472 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(217(a,2),28(a,2,1)),flip(a)]. 473 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(18,a,16,a(flip),b,218,a)]. 474 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [para(218(a,2),16(a,1))]. 475 (x \ y) * L(T((x \ y) \ y,z),u,w) = L(T(x,z),u,w) * (x \ y). [para(219(a,1),161(a,1,2,1))]. 476 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(71,a,251,a(flip)),flip(a)]. 477 (T(x,x \ y) / z) \ ((x \ y) \ y) = z. [para(251(a,2),185(a,1,2))]. 478 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(78,a,257,a),flip(a)]. 479 K(x \ (x * y),x) = K(y,x). [para(300(a,2),88(a,1)),flip(a)]. 480 K(x \ (x * y),z) = K(y,z). [para(52(a,1),479(a,1,1)),flip(a)]. 481 K((x / y) \ x,z) = K(y,z). [para(16(a,1),480(a,1,1,2))]. 482 T(x / y,z) * y != y * u | T(y \ x,z) = u. [para(307(a,2),19(a,1))]. 483 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [para(110(a,1),308(a,1,1))]. 484 T(R((x * y) / x,x,y),z) * (x * y) = (x * y) * T(y,z). [para(105(a,2),308(a,1,1,1))]. 485 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(315(a,2),109(a,1,2))]. 486 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(111(a,1),315(a,1,1,2)),flip(a)]. 487 T(x \ y,(y \ x) \ 1) = x \ y. [hyper(35,a,446,a)]. 488 T(x * y,(x \ 1) \ y) = x * y. [hyper(35,a,447,a)]. 489 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(476(a,2),176(a,1,2,2))]. 490 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(14(a,1),83(a,1,1,2))]. 491 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(109(a,1),83(a,1,1,2))]. 492 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(109(a,1),96(a,1,2,2)),flip(a)]. 493 T((x * y) / x,x * y) = L(y,x,(x * y) / x). [para(98(a,1),32(a,2))]. 494 L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). [para(109(a,1),98(a,1,2,2)),flip(a)]. 495 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(95(a,1),98(a,1,2,2)),flip(a)]. 496 R(x,x \ y,(x \ y) \ z) = (y * ((x \ y) \ z)) / z. [para(14(a,1),102(a,2,2))]. 497 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(102(a,2),198(a,1,1))]. 498 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(102(a,2),242(a,1,1))]. 499 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(358(a,1),141(a,1,2))]. 500 L(T(x,y),y,x) = T(x,x * y). [para(157(a,1),32(a,2)),flip(a)]. 501 T(L(x,y,x),y) = T(x,x * y). [para(500(a,1),40(a,1)),flip(a)]. 502 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(500(a,1),44(a,1,1)),flip(a)]. 503 x * T(y,y * x) = L(y,x,y) * x. [para(500(a,1),161(a,1,2))]. 504 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(500(a,2),162(a,1,2,1))]. 505 (x * T(y,y * x)) / x = L(y,x,y). [para(501(a,1),145(a,1,1,2))]. 506 x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. [para(501(a,1),161(a,1,2,1))]. 507 T((x * y) / x,y * x) = L(y,x,y). [hyper(18,a,308,a,b,503,a(flip)),flip(a)]. 508 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(14(a,1),503(a,1,2,2)),flip(a)]. 510 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(109(a,1),503(a,1,2,2)),flip(a)]. 511 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(14(a,1),507(a,1,2))]. 512 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(507(a,1),38(a,1,1)),flip(a)]. 513 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). [para(215(a,1),307(a,1,1,1)),flip(a)]. 514 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(44(a,1),252(a,1,1))]. 515 R(x,y \ z,T(y,y \ z)) * z = (x * (y \ z)) * ((y \ z) \ z). [para(110(a,2),252(a,1,1,3))]. 516 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [para(252(a,1),162(a,2))]. 517 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(18,a,245,a,b,273,a),flip(a)]. 518 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(277(a,2),95(a,1,2))]. 519 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [para(284(a,1),14(a,1))]. 520 R(T(1 / x,x * y),x,y) = (x * y) \ y. [para(287(a,1),111(a,1))]. 521 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(150,a,297,a),flip(a)]. 522 L(T(x \ 1,x),x,1 / x) = x \ 1. [para(298(a,2),111(a,1))]. 523 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [para(298(a,1),403(a,1,2))]. 524 K(x,y) = L(x \ T(x,y),x,y). [para(304(a,2),26(a,2))]. 525 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(304(a,1),40(a,2,1))]. 526 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(327(a,1),19(a,1))]. 527 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(45(a,1),327(a,1,2))]. 528 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [para(327(a,1),161(a,1))]. 529 (x / y) * (y * z) != x * u | L(z,y,x / y) = u. [para(328(a,1),19(a,1))]. 530 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [para(45(a,1),328(a,1,2))]. 531 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [para(328(a,1),161(a,1))]. 532 a(x,y,z) = L(((x * y) \ (x * (y * z))) \ z,(x * y) \ (x * (y * z)),x * y). [para(343(a,2),24(a,2))]. 533 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(343(a,1),40(a,2,1))]. 534 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(343(a,1),44(a,1,1)),flip(a)]. 535 L(x \ y,x,y / x) = T(y / x,y). [para(344(a,2),32(a,2)),flip(a)]. 536 T((x / y) * z,L(z \ y,z,x / y)) = L(z \ y,z,x / y) \ x. [para(353(a,1),111(a,1,1))]. 537 L(R(x,y / z,z),u,w) * y = (L(x,u,w) * (y / z)) * z. [para(44(a,1),360(a,1,1))]. 538 T(R(x / y,y,y \ z),z) = z \ (x * (y \ z)). [para(374(a,2),111(a,1,1))]. 539 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(375(a,1),42(a,2,1))]. 540 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(375(a,1),46(a,1,1)),flip(a)]. 541 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(143(a,2),375(a,1,1,2))]. 542 R(x / (y / (z * y)),R(1 / z,z,y),z * y) = (x * (z * y)) / y. [para(143(a,2),375(a,1,2))]. 543 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(375(a,1),165(a,1,1)),flip(a)]. 544 R(x,T(y,x),(y * x) \ z) \ z = T(y,x) * ((y * x) \ z). [para(124(a,1),381(a,1,1,1))]. 545 (1 / x) * ((x \ 1) * x) = x \ 1. [para(404(a,1),522(a,1))]. 546 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(61(a,1),545(a,1,2,1))]. 547 (1 / x) * K(x \ 1,x) = x \ 1. [para(167(a,2),545(a,1,2))]. 548 (x * (y \ 1)) / L(K(y \ 1,y),1 / y,x) = x * (1 / y). [para(547(a,1),123(a,1,1,2))]. 549 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(13(a,1),461(a,2,1)),flip(a)]. 550 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(461(a,1),163(a,1,1))]. 551 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [para(462(a,1),104(a,1,1))]. 552 ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). [para(465(a,1),358(a,2))]. 553 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(16(a,1),466(a,1,1,2)),flip(a)]. 554 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(x,y / (x * y)). [para(466(a,1),26(a,2,1)),flip(a)]. 555 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(14(a,1),519(a,1,1,2))]. 556 T(R(x,y,x),y * x) = T(x,y). [para(549(a,2),180(a,1,1))]. 557 R(T(x,y * x),y,x) = T(x,y). [para(556(a,1),42(a,2))]. 558 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(556(a,1),161(a,1,2,1)),flip(a)]. 559 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(556(a,1),162(a,1,2,1)),flip(a)]. 560 R(T(x,y),y / x,x) = T(x,y / x). [para(16(a,1),557(a,1,1,2))]. 561 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(557(a,1),104(a,1,1)),flip(a)]. 562 R(x,1 / x,x) = T(x,1 / x). [para(132(a,1),560(a,1,1))]. 563 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(562(a,1),46(a,1,1)),flip(a)]. 564 T(x,1 / x) / x = x * (1 / x). [para(562(a,1),405(a,1,1))]. 565 T(x,1 / x) / x = K(x,1 / x). [para(564(a,2),170(a,2)),flip(a)]. 566 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [para(112(a,2),42(a,2))]. 567 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(87(a,1),329(a,1,1)),flip(a)]. 570 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(209(a,1),361(a,2,2))]. 571 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(547(a,1),361(a,2,2))]. 572 L(1 / x,x,y) * x = x * ((y * x) \ y). [para(142(a,1),437(a,2,2))]. 573 (x * L(x \ y,z,u)) \ (L(y / x,z,u) * w) = L(x \ w,x,L(y / x,z,u)). [para(437(a,1),97(a,2,1)),flip(a)]. 574 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(275(a,1),437(a,2,2))]. 575 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(78,a,572,a)]. 576 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(14(a,1),575(a,1,1,2,1))]. 577 T(x,L(T(x,y),z,u)) = x. [hyper(150,a,438,a)]. 578 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(78,a,439,a),flip(a)]. 579 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(215(a,1),451(a,1,1,1)),flip(a)]. 580 T(x,R(T(x,y),z,u)) = x. [hyper(150,a,452,a)]. 581 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(78,a,453,a),flip(a)]. 582 R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. [hyper(71,a,453,a)]. 583 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [para(453(a,1),104(a,1)),flip(a)]. 584 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [para(453(a,1),199(a,1,1))]. 585 (((x * y) / x) * z) * (z \ x) = x * R(y,z,z \ x). [para(453(a,1),252(a,1)),flip(a)]. 586 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). [para(97(a,1),458(a,1,1,2))]. 587 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(193(a,1),458(a,1,1,2)),flip(a)]. 588 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(349(a,1),458(a,1,1,2))]. 589 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(524(a,2),458(a,1,1,2)),flip(a)]. 590 ((x \ y) * (y \ (x * z))) / (x \ y) = L(z / (x \ y),x \ y,x). [para(343(a,1),458(a,1,1,2))]. 591 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(28(a,2),459(a,1,1,2,1))]. 592 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(61(a,1),459(a,1,1,2,1))]. 593 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(111(a,1),485(a,1,2,1,2)),flip(a)]. 594 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(110(a,1),485(a,1,2,1,2))]. 595 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(486(a,1),145(a,1,1,2))]. 596 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(486(a,1),146(a,1,2,2))]. 597 (1 / (1 / x)) * (x * (1 / x)) = x. [para(546(a,2),61(a,1))]. 598 (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). [para(209(a,2),552(a,1,1))]. 599 x \ (T(x,y) * (y * x)) = T(T(x,y * x) * y,x). [para(561(a,1),32(a,2,2)),flip(a)]. 600 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(111(a,1),566(a,1,1,1)),flip(a)]. 601 L((x * (y \ 1)) / x,y,z) = (x * ((z * y) \ z)) / x. [para(142(a,1),578(a,2,1,2))]. 602 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(578(a,1),95(a,1,2))]. 603 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [para(95(a,1),578(a,2,1))]. 604 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(276(a,1),578(a,2,1,2))]. 605 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(348(a,1),578(a,2,1,2))]. 606 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(349(a,1),578(a,2,1,2))]. 607 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(343(a,1),578(a,2,1,2))]. 608 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(143(a,1),581(a,2,1,2))]. 609 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(581(a,1),104(a,1,1))]. 610 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(200(a,1),581(a,2,1,2))]. 611 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(379(a,1),581(a,2,1,2))]. 612 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [para(581(a,1),420(a,1))]. 613 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(420(a,1),581(a,2,1,2))]. 614 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(12(a,1),85(a,1,1))]. 615 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(172(a,1),614(a,1,2))]. 616 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(169(a,1),359(a,1,1))]. 617 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(278(a,2),95(a,1,2))]. 618 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(463(a,1),278(a,2,1))]. 619 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(282(a,1),279(a,1,1)),flip(a)]. 620 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(279(a,1),95(a,1,2))]. 621 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [para(279(a,2),97(a,1))]. 622 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(14(a,1),619(a,1,1,1))]. 623 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(97(a,1),336(a,1,2,1))]. 624 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(193(a,1),336(a,1,2,1))]. 625 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(500(a,1),336(a,1,2,1))]. 626 x * (y * T(y \ T(y,x),z)) = (x * y) * T(K(y,x),z). [para(524(a,2),336(a,1,2,1)),flip(a)]. 627 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [para(45(a,1),339(a,1,2))]. 628 x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). [para(339(a,1),161(a,1))]. 629 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(278(a,2),339(a,1,2))]. 630 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(109(a,1),346(a,1,1,1)),flip(a)]. 631 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(347(a,1),44(a,1,1)),flip(a)]. 632 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(18,a,308,a,b,370,a),flip(a)]. 633 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(17,a,162,a,b,370,a(flip)),flip(a)]. 634 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(633(a,1),370(a,1,1)),flip(a)]. 635 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [para(376(a,1),111(a,1))]. 636 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(378(a,1),485(a,1,2,1,2)),flip(a)]. 637 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [para(378(a,1),566(a,2,1))]. 638 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(109(a,1),391(a,1,2))]. 639 R(T(1 / x,y),x,x \ y) = y \ (x \ y). [para(412(a,1),111(a,1))]. 640 T((x \ 1) / 1,y) / (x \ 1) = T(1 / x,y) * x. [para(412(a,2),408(a,1,1))]. 641 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(412(a,2),252(a,1,1))]. 642 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(415(a,1),398(a,1,2)),flip(a)]. 643 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [para(415(a,1),401(a,1)),flip(a)]. 644 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [para(417(a,1),403(a,1,2))]. 645 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(277(a,1),417(a,1,1))]. 646 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [para(417(a,1),404(a,1)),flip(a)]. 647 T((1 / x) * (x * y),x) = (1 / x) * (y * x). [para(13(a,1),646(a,1,2,1)),flip(a)]. 648 T((1 / x) * y,x) != (1 / x) * z | (x \ y) * x = z. [para(646(a,1),19(a,1))]. 649 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [para(423(a,1),405(a,1,1)),flip(a)]. 650 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [para(430(a,1),408(a,1,1))]. 651 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(142(a,1),442(a,2,1)),flip(a)]. 652 (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. [para(104(a,1),448(a,1)),flip(a)]. 653 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(71,a,456,a)]. 654 (x * y) * T(y,x) = (y * x) * y. [para(557(a,1),456(a,1,2))]. 655 T(x,y) = (y * x) \ ((x * y) * x). [hyper(71,a,654,a),flip(a)]. 656 (x * (y / x)) * x = y * T(x,y / x). [para(16(a,1),654(a,1,1)),flip(a)]. 657 ((x \ 1) * x) \ x = T(x,x \ 1). [para(53(a,1),655(a,2,2)),flip(a)]. 658 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(656(a,1),85(a,1,2))]. 659 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [para(490(a,1),124(a,1,1))]. 660 L(x,y,(y * x) / y) * y = y * T(x,y * x). [para(493(a,1),308(a,1,1))]. 661 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [para(494(a,1),40(a,1)),flip(a)]. 662 x \ ((x / y) * ((y \ 1) * y)) = T(x \ (x / y),y). [para(494(a,1),410(a,2)),flip(a)]. 664 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [para(511(a,1),314(a,1)),flip(a)]. 665 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [para(512(a,2),40(a,2)),flip(a)]. 666 x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). [hyper(71,a,528,a)]. 667 (x / y) \ (L(z,y,x / y) * x) = y * T(z,x). [hyper(71,a,531,a)]. 668 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [para(538(a,1),42(a,2))]. 669 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(16(a,1),587(a,2,1,2,1))]. 670 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(32(a,2),587(a,2,1,2))]. 671 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(T(y,(x \ 1) * x),x \ 1,x). [para(167(a,2),653(a,1,1))]. 672 R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). [para(83(a,1),653(a,1,2)),flip(a)]. 673 x * T(y,x * y) != z * x | L(y,x,(x * y) / x) = z. [para(660(a,1),20(a,1))]. 674 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(344(a,1),661(a,1,1)),flip(a)]. 675 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(275(a,1),666(a,1,2,1)),flip(a)]. 676 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [para(343(a,1),666(a,1,2,1)),flip(a)]. 677 (x / y) \ ((x \ (x / y)) * x) = y * T(y \ 1,x). [para(276(a,1),667(a,1,2,1))]. 678 (x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x). [para(668(a,1),252(a,1,1))]. 679 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [para(110(a,1),318(a,1,1,2))]. 680 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [para(593(a,1),408(a,2))]. 681 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(13(a,1),595(a,1,1,2,1,2))]. 682 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(61(a,1),596(a,1,2,2,1,2))]. 683 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(105(a,1),600(a,1,1,1))]. 684 R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). [para(538(a,1),600(a,1,1)),flip(a)]. 685 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(150,a,634,a(flip))]. 686 T(x \ 1,y) / (x \ 1) = T(1 / x,y) * x. [para(58(a,1),640(a,1,1,1))]. 687 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [para(686(a,2),307(a,1))]. 688 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(71,a,642,a)]. 689 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(12(a,1),642(a,2,2,1))]. 690 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(14(a,1),642(a,2,2,1))]. 691 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [para(642(a,1),109(a,1))]. 692 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [para(642(a,1),305(a,1))]. 693 T(x,y) * (x \ 1) = x \ T(x,y). [para(689(a,1),309(a,1)),flip(a)]. 694 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(693(a,1),156(a,1,2,2))]. 696 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(14(a,1),644(a,1,2,1)),flip(a)]. 697 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(111(a,1),649(a,1,1)),flip(a)]. 698 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [para(649(a,1),307(a,1)),flip(a)]. 699 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [para(649(a,1),308(a,1))]. 700 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [para(650(a,2),307(a,1))]. 701 (x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y). [para(662(a,1),14(a,1,2)),flip(a)]. 702 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [para(675(a,2),300(a,2))]. 703 K(x \ (x / y),x) = y * T(y \ 1,x). [para(677(a,1),88(a,1)),flip(a)]. 704 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(71,a,703,a(flip))]. 705 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [para(15(a,1),703(a,1,1,2))]. 706 K(x \ (x / y),x) / y = T(1 / y,x). [para(703(a,2),311(a,1,1))]. 707 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [para(703(a,2),689(a,1))]. 708 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [para(15(a,1),706(a,1,1,1,2))]. 709 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(111(a,1),707(a,2,2))]. 710 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(144(a,1),707(a,2,2))]. 711 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(690(a,1),109(a,1)),flip(a)]. 712 (x \ T(y,x \ 1)) / (x \ 1) = (x \ 1) \ (x \ y). [para(690(a,1),145(a,1,1))]. 713 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [para(690(a,1),311(a,1,1))]. 714 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(16(a,1),691(a,1,2,1))]. 715 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [para(692(a,1),14(a,1,2)),flip(a)]. 716 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(696(a,1),301(a,1,2))]. 717 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(16(a,1),697(a,1,1,1)),flip(a)]. 718 (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). [hyper(71,a,698,a)]. 719 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(11(a,1),698(a,2,1,1))]. 720 (1 / x) * T(x,y) = T(x,y) / x. [para(61(a,1),719(a,1,2,1))]. 721 K(x \ (x / (1 / y)),x) = T(y,x) / y. [para(719(a,1),703(a,2))]. 722 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(78,a,720,a)]. 723 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(71,a,720,a)]. 724 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [para(720(a,1),32(a,2,2)),flip(a)]. 725 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [para(110(a,1),720(a,1,2)),flip(a)]. 726 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(720(a,1),507(a,1,2))]. 727 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(721(a,2),16(a,1,1)),flip(a)]. 728 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(460(a,1),721(a,2,1))]. 729 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [para(724(a,1),276(a,2))]. 730 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(110(a,1),725(a,1,1)),flip(a)]. 731 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(700(a,1),16(a,1,1))]. 732 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [para(700(a,2),642(a,1))]. 733 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(167(a,2),701(a,1,2))]. 734 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(71,a,702,a(flip)),flip(a)]. 736 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(717(a,1),89(a,1,1)),flip(a)]. 737 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [para(16(a,1),718(a,1,2,1,1))]. 738 T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1). [para(13(a,1),731(a,1,1,2,1)),flip(a)]. 739 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(142(a,2),734(a,1,1,1))]. 740 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). [para(734(a,1),687(a,1,1))]. 741 T((x * y) * (x \ 1),y) = (x * y) * (x \ 1). [para(108(a,1),738(a,2,1,2))]. 742 K((x * y) * (x \ 1),y) = 1. [hyper(36,a,741,a)]. 743 K(((1 / x) * y) * x,y) = 1. [para(61(a,1),742(a,1,1,2))]. 744 K(x * y,(1 / y) \ x) = 1. [para(14(a,1),743(a,1,1,1))]. 745 T(x * y,(1 / y) \ x) = x * y. [hyper(37,a,744,a)]. 746 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(720(a,1),239(a,1,2,2))]. 747 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(97(a,1),337(a,1,2,1))]. 748 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(193(a,1),337(a,1,2,1))]. 749 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(193(a,1),338(a,1,2,1))]. 750 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(500(a,1),338(a,1,2,1))]. 751 x * (T(y,x) * L(z,x,y)) = y * (x * L(z,T(y,x),x)). [para(338(a,1),339(a,1)),flip(a)]. 752 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [para(14(a,1),342(a,2,2))]. 753 K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(406(a,1),342(a,1,2))]. 754 L(x / (y * x),z,u) * (y * x) = (L(1 / y,z,u) * y) * x. [para(143(a,1),368(a,1,1,1))]. 755 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(105(a,1),368(a,1,1,1))]. 756 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(200(a,1),368(a,1,1,1)),flip(a)]. 757 x \ ((L(y,z,x) * x) * z) = z * T(R(y,x,z),x * z). [para(368(a,1),443(a,1,2))]. 758 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(105(a,1),369(a,1,1,1))]. 759 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(693(a,1),393(a,1,1,1))]. 760 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(416(a,1),398(a,1,2)),flip(a)]. 761 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(618(a,1),418(a,1,1))]. 762 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(419(a,1),403(a,1,2))]. 763 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(425(a,2),19(a,1))]. 764 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(348(a,1),425(a,1,2,1)),flip(a)]. 765 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(282(a,1),426(a,1,2,1))]. 766 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(522(a,1),426(a,1,2,1))]. 767 L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). [para(287(a,2),427(a,1,1,1))]. 768 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(562(a,1),427(a,1,1,1))]. 769 T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). [para(40(a,1),768(a,1,1))]. 770 (1 / x) \ (L(x,y,z) / x) = L(x,y,z). [hyper(18,a,717,a,b,769,a(flip)),flip(a)]. 771 (1 / x) * L(x,y,z) = L(x,y,z) / x. [para(770(a,1),14(a,1,2))]. 772 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [para(770(a,1),59(a,1,2))]. 773 L(x,y,z) \ (L(x,y,z) / x) = T(1 / x,L(x,y,z)). [para(771(a,1),32(a,2,2)),flip(a)]. 774 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [para(59(a,1),771(a,1,1)),flip(a)]. 775 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(771(a,1),97(a,2,1))]. 776 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(771(a,1),507(a,1,2))]. 777 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [para(142(a,1),774(a,2,2))]. 778 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(777(a,1),16(a,1,1))]. 779 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [para(777(a,1),61(a,1,1))]. 780 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(778(a,1),26(a,2,1)),flip(a)]. 781 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(14(a,1),779(a,1,1,2,1))]. 782 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(420(a,1),428(a,1,1,1))]. 783 (R(x / y,z,u) * y) * (y \ 1) = R(x * (y \ 1),z,u). [para(431(a,1),358(a,2))]. 784 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(533(a,1),327(a,1,2)),flip(a)]. 785 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(539(a,1),360(a,1,1)),flip(a)]. 786 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(78,a,585,a)]. 787 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(601(a,1),95(a,1,2))]. 788 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(608(a,1),104(a,1,1))]. 789 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(684(a,1),516(a,1,2)),flip(a)]. 790 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(739(a,2),296(a,1,2)),flip(a)]. 791 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(752(a,1),19(a,1)),flip(a)]. 792 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(285(a,1),786(a,1,1,2))]. 793 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(502(a,1),435(a,1,2))]. 794 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(17,a,162,a,b,454,a),flip(a)]. 795 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [para(551(a,1),307(a,1)),flip(a)]. 796 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [para(625(a,1),160(a,1))]. 798 T(x,y) * (x * z) = x * (T(x,y) * z). [para(160(a,1),796(a,1,2)),flip(a)]. 799 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(467,a,798,a)]. 800 T(x,y) \ (x * (T(x,y) * z)) = x * z. [hyper(71,a,798,a)]. 801 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(17,a,194,a,b,798,a),flip(a)]. 802 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(17,a,188,a,b,798,a)]. 803 x * (T(x,y) * (x \ z)) = T(x,y) * z. [para(14(a,1),798(a,1,2)),flip(a)]. 804 T(x,y) * (x * (T(x,y) \ z)) = x * z. [para(14(a,1),798(a,2,2))]. 805 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(16(a,1),798(a,1,2)),flip(a)]. 807 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(109(a,1),798(a,1,2)),flip(a)]. 808 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(111(a,1),798(a,1,1)),flip(a)]. 809 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(78,a,802,a)]. 810 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(71,a,802,a)]. 811 T(x,y) \ x != x * z | T(x,y) \ 1 = z. [para(802(a,1),19(a,1))]. 812 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [para(802(a,1),124(a,1,1))]. 813 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(802(a,1),171(a,1,2)),flip(a)]. 814 T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). [para(802(a,1),647(a,1,1,2))]. 815 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(809(a,1),713(a,2,1))]. 816 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [para(14(a,1),799(a,1,2)),flip(a)]. 817 (x \ y) \ (x \ (T(x,z) * y)) = T(T(x,z),x \ y). [para(799(a,2),32(a,2,2)),flip(a)]. 818 T(T(x,y * x) * y,x) = T(x,y) * (x \ (y * x)). [para(799(a,1),599(a,1)),flip(a)]. 819 x * (T(x,y) \ (x \ z)) = T(x,y) \ z. [para(56(a,1),800(a,1,2)),flip(a)]. 820 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [para(801(a,1),90(a,1))]. 821 x * (T(x,y) \ y) = T(y,T(x,y)). [para(801(a,1),159(a,1))]. 822 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [para(801(a,1),96(a,1))]. 823 x \ T(y,T(x,y)) = T(x,y) \ y. [hyper(71,a,821,a)]. 824 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(111(a,1),821(a,1,2,1))]. 825 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(803(a,1),19(a,1))]. 826 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [para(804(a,1),32(a,2,2))]. 827 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(71,a,816,a)]. 828 x \ (T(x,y) \ (z * x)) = T(x,y) \ T(z,x). [para(32(a,2),827(a,1,2)),flip(a)]. 829 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(17,a,327,a,b,807,a)]. 831 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(815(a,1),16(a,1,1))]. 832 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(111(a,1),824(a,2,2))]. 833 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(13(a,1),832(a,1,2,1))]. 834 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(111(a,1),831(a,1,1)),flip(a)]. 835 T(x,y) = ((x * y) / x) * (y \ x). [para(13(a,1),833(a,2,2)),flip(a)]. 836 T(x,y) / (y \ x) = (x * y) / x. [hyper(78,a,835,a(flip))]. 837 ((x * y) / x) \ T(x,y) = y \ x. [hyper(71,a,835,a(flip))]. 838 (((x * y) * x) / (x * y)) * y = T(x * y,x). [para(13(a,1),835(a,2,2)),flip(a)]. 839 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(16(a,1),835(a,2,1,1)),flip(a)]. 840 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [para(835(a,2),32(a,2,2))]. 841 ((x * (x / y)) / x) * y = T(x,x / y). [para(61(a,1),835(a,2,2)),flip(a)]. 842 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(299(a,1),835(a,2,2)),flip(a)]. 843 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(13(a,1),836(a,1,2)),flip(a)]. 844 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(836(a,1),704(a,1,2,1,2))]. 845 x * ((y * (x \ y)) / y) = T(y,y / x). [para(841(a,1),593(a,1)),flip(a)]. 846 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(71,a,845,a)]. 847 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(61(a,1),845(a,1,2,1,2))]. 848 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(587(a,2),845(a,1,2))]. 849 (x / y) \ T(x,x / (x / y)) = (x * y) / x. [para(61(a,1),846(a,2,1,2))]. 850 T(x \ T(y,y / x),y) = x \ y. [para(846(a,2),144(a,1,1))]. 851 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(59(a,1),850(a,1,1,2,2))]. 852 T((x \ y) \ T(y,x),y) = T(x,x \ y). [para(851(a,2),110(a,2)),flip(a)]. 853 (x / (x / y)) * (y \ (x / y)) = y \ x. [para(839(a,2),111(a,1))]. 854 (x \ y) / (x \ (y / x)) = y / (y / x). [hyper(78,a,853,a)]. 855 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [para(13(a,1),854(a,1,1)),flip(a)]. 856 T((x \ y) \ T(y,x),x * y) = L(T(x,x \ y),y,x). [para(840(a,1),665(a,1,1))]. 857 T(T(x * y,x) / y,x * y) = x. [para(843(a,1),144(a,1,1))]. 858 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(843(a,1),632(a,1,1))]. 859 T(T(x,x / y) / y,(x / y) * y) = x / y. [para(16(a,1),857(a,1,1,1,1))]. 860 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(358(a,1),857(a,1,1,1,1))]. 861 x \ T(y * x,y) = R(y,x,T(y,x)). [para(858(a,1),111(a,1)),flip(a)]. 862 x * R(y,x,T(y,x)) = T(y * x,y). [para(858(a,1),149(a,1,2))]. 863 L(R(x,y,T(x,y)),y,x) = x. [para(861(a,1),325(a,1,1))]. 864 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(145(a,1),847(a,1,2)),flip(a)]. 865 T(T(x,x / y) / y,x) = x / y. [para(16(a,1),859(a,1,2))]. 866 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(307(a,1),805(a,1,2))]. 867 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [para(32(a,2),818(a,2,2))]. 868 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(724(a,1),820(a,1,2))]. 869 x \ K(x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(71,a,868,a)]. 871 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(866(a,2),19(a,2))]. 872 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [para(848(a,1),95(a,1)),flip(a)]. 873 x \ T(y,y / (x * y)) = y * ((x \ y) / y). [para(848(a,1),186(a,1,2))]. 874 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [para(641(a,1),307(a,1))]. 875 (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). [para(307(a,1),678(a,2,1))]. 876 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(710(a,2),110(a,1,2))]. 877 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(318(a,1),710(a,1,1,2,2,1))]. 878 x \ ((L(y,z,x) * x) * z) = z * R(T(y,x * z),x,z). [para(42(a,2),757(a,2,2))]. 879 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(12(a,1),760(a,2,2,1))]. 880 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(32(a,2),760(a,1,2,1)),flip(a)]. 881 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [para(879(a,1),454(a,1)),flip(a)]. 882 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(71,a,881,a)]. 883 (1 / x) \ R(1 / x,y,z) = R(1 / x,y,z) * x. [para(61(a,1),881(a,1,2)),flip(a)]. 884 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(881(a,1),87(a,1,1))]. 885 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [para(881(a,1),178(a,1,1))]. 886 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(881(a,1),466(a,1,1,2)),flip(a)]. 887 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(881(a,1),486(a,2,1))]. 888 T(x,x \ y) \ R((x \ y) \ y,z,u) = R(T(x,x \ y),z,u) * (T(x,x \ y) \ 1). [para(794(a,1),881(a,2,2)),flip(a)]. 889 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(882(a,1),709(a,2,2))]. 890 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [para(883(a,2),451(a,1))]. 891 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(890(a,1),14(a,1,2))]. 892 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [para(286(a,1),890(a,1,2)),flip(a)]. 893 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [para(890(a,1),499(a,1))]. 894 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(466(a,2),891(a,1,2))]. 895 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [para(894(a,2),143(a,1))]. 896 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [para(895(a,1),32(a,2,2)),flip(a)]. 897 a(1 / x,y,y \ 1) / R(x \ 1,y,y \ 1) = z / (x \ z). [para(893(a,1),223(a,1,1))]. 898 x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). [para(14(a,1),762(a,1,2,1)),flip(a)]. 899 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(12(a,1),764(a,2,2,1))]. 900 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(193(a,1),764(a,1,2)),flip(a)]. 901 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [para(899(a,1),440(a,1)),flip(a)]. 902 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(71,a,901,a)]. 903 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(901(a,1),466(a,1,1,2)),flip(a)]. 904 x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1). [para(901(a,1),692(a,1,2,1,2))]. 905 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(275(a,1),902(a,1,1))]. 906 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [para(766(a,2),161(a,1))]. 907 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(275(a,1),906(a,1,2)),flip(a)]. 908 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [para(782(a,2),437(a,1))]. 909 (x * R(x \ y,z,u)) * (x \ 1) = R(y * (x \ 1),z,u). [para(451(a,1),783(a,1,1))]. 910 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [para(11(a,1),789(a,2,2,1,2))]. 911 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(167(a,2),910(a,1,1))]. 912 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [para(792(a,2),593(a,1))]. 913 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(795(a,1),518(a,1))]. 914 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(59(a,1),913(a,1,1,1,2)),flip(a)]. 915 ((x \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(143(a,2),913(a,1,1,1,2))]. 916 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(111(a,1),808(a,1,2,1))]. 917 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(144(a,1),808(a,1,2,1)),flip(a)]. 918 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(166(a,1),808(a,1,2,1)),flip(a)]. 919 (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). [hyper(467,a,916,a)]. 920 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(319,a,916,a),flip(a)]. 921 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(17,a,188,a,b,916,a)]. 922 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [para(920(a,1),730(a,1)),flip(a)]. 923 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(921(a,1),19(a,1))]. 924 (x / y) * ((y \ x) \ ((x / y) \ z)) = (y \ x) \ z. [para(14(a,1),919(a,1,2)),flip(a)]. 925 (x \ y) \ ((y / x) \ ((x \ y) * z)) = (y / x) \ z. [hyper(17,a,203,a(flip),b,924,a)]. 926 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(307(a,1),874(a,1,1))]. 927 (x \ (y \ x)) * x = (y * T(y \ 1,x)) * (y \ x). [para(11(a,1),875(a,1,1,2))]. 928 x \ (y \ ((L(z,x,y) * y) * x)) = R(T(z,y * x),y,x). [hyper(71,a,878,a(flip))]. 929 L(x \ ((1 / x) \ y),z,u) = x \ ((1 / x) \ L(y,z,u)). [hyper(71,a,898,a),flip(a)]. 930 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(61(a,1),908(a,1,1,1,2))]. 931 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(78,a,909,a)]. 932 (x * T(x \ (y \ x),z)) / (y \ x) = y * T(y \ 1,z). [hyper(78,a,926,a)]. 933 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(689(a,1),926(a,1,1))]. 934 L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(59(a,1),929(a,2,2,1))]. 935 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [para(11(a,1),931(a,1,1,1))]. 936 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(16(a,1),931(a,1,1,1)),flip(a)]. 937 K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(935(a,1),707(a,1,1,2))]. 938 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [para(484(a,1),367(a,1)),flip(a)]. 939 (x * T(y,z)) * y = (x * y) * T(y,z). [para(308(a,1),938(a,1,1))]. 940 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(468,a,939,a)]. 941 (1 / T(x,y)) * x = x / T(x,y). [hyper(293,a,939,a),flip(a)]. 942 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(71,a,939,a)]. 943 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(18,a,202,a,b,939,a),flip(a)]. 944 ((x / y) * T(y,z)) * y = x * T(y,z). [para(16(a,1),939(a,2,1))]. 946 (x * T(y,x * y)) * y = y * (x * y). [para(939(a,2),109(a,1))]. 947 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(111(a,1),939(a,1,1,2)),flip(a)]. 948 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(71,a,941,a)]. 949 T(1 / T(x,y),x) = x \ (x / T(x,y)). [para(941(a,1),32(a,2,2))]. 950 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(948(a,1),717(a,1,1)),flip(a)]. 951 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(948(a,1),737(a,2,1))]. 952 ((x / T(y,z)) / y) * T(y,z) = x / y. [para(16(a,1),943(a,1,1)),flip(a)]. 953 (x / y) * T(y,x) = (y * x) / y. [para(109(a,1),943(a,1,1)),flip(a)]. 954 T((x / y) * T(y,z),y) = y \ (x * T(y,z)). [para(943(a,1),111(a,1,1))]. 955 ((x * y) / x) / T(x,y) = y / x. [hyper(78,a,953,a)]. 956 T(x,y) = (y / x) \ ((x * y) / x). [hyper(71,a,953,a),flip(a)]. 957 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [para(953(a,1),32(a,2,2)),flip(a)]. 958 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [para(59(a,1),953(a,1,1)),flip(a)]. 959 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(280(a,1),953(a,1,1)),flip(a)]. 960 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(295(a,1),953(a,1,1)),flip(a)]. 961 x \ ((y * (x * y)) / y) = T(y,x * y). [para(15(a,1),956(a,2,1)),flip(a)]. 964 T(x,y) * T(T(x,y) \ 1,x) = (x \ (x / T(x,y))) * T(x,y). [para(949(a,1),307(a,1,1)),flip(a)]. 965 K(x \ (x / (1 / (1 / T(x,y)))),x) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(949(a,1),727(a,1)),flip(a)]. 966 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [para(951(a,1),59(a,1,2))]. 967 T((T(x,y) / T(x,z)) * T(x,z),u) / T(x,z) = (1 / T(x,z)) * T(T(x,y),u). [para(951(a,1),698(a,1,2,1)),flip(a)]. 968 T(x,y * T(y \ x,x)) = x. [para(958(a,1),317(a,1,2))]. 969 T(x,x * (y * T(y \ 1,x))) = x. [para(518(a,1),968(a,1,2))]. 970 T(x,x * K(y,x)) = x. [para(702(a,2),969(a,1,2,2))]. 971 T(x * K(y,x),x) = x * K(y,x). [hyper(35,a,970,a)]. 972 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [para(966(a,1),111(a,1,1)),flip(a)]. 973 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(111(a,1),947(a,1,2))]. 974 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(144(a,1),947(a,1,2)),flip(a)]. 975 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(468,a,973,a)]. 976 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(293,a,973,a),flip(a)]. 977 (x * (y / x)) * (x \ y) = y * (y / x). [para(14(a,1),973(a,2,1))]. 978 ((x / y) * (x / (x / y))) * y = x * (x / (x / y)). [para(61(a,1),977(a,1,2))]. 979 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [para(976(a,1),32(a,2,2)),flip(a)]. 980 ((x / y) \ x) / (x / (x / y)) = (1 / (x / (x / y))) * y. [para(61(a,1),976(a,1,2)),flip(a)]. 981 ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). [para(16(a,1),975(a,1,1)),flip(a)]. 982 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(972(a,1),706(a,1,1,1))]. 983 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(979(a,1),721(a,1,1))]. 984 (1 / (x / (x / y))) * y = y / (x / (x / y)). [para(61(a,1),980(a,1,1)),flip(a)]. 985 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [para(504(a,1),337(a,1)),flip(a)]. 986 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(162(a,1),985(a,1,2)),flip(a)]. 987 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(467,a,986,a)]. 988 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(71,a,986,a)]. 989 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(17,a,194,a,b,986,a),flip(a)]. 990 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(17,a,188,a,b,986,a)]. 991 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [para(14(a,1),986(a,1,2)),flip(a)]. 992 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(109(a,1),986(a,1,2)),flip(a)]. 993 T(x,y) * (R(T(x,y),z,u) * (x * (T(x,y) \ w))) = R(T(x,y),z,u) * (x * w). [para(804(a,1),986(a,1,2)),flip(a)]. 994 x \ (R(x,y,z) \ x) = R(x,y,z) \ 1. [hyper(71,a,990,a)]. 995 (R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ x. [para(990(a,1),109(a,2))]. 996 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(990(a,1),171(a,1,2)),flip(a)]. 997 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(990(a,1),692(a,1,2,1,2))]. 998 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [para(987(a,1),59(a,1,2))]. 999 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(104(a,1),987(a,1,2)),flip(a)]. 1000 R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)). [para(252(a,1),987(a,1,2)),flip(a)]. 1001 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [para(991(a,1),32(a,2,2)),flip(a)]. 1002 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(78,a,999,a),flip(a)]. 1003 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [para(999(a,2),32(a,2)),flip(a)]. 1004 R(x,y,x) * T(y,x) = T(x * y,x). [para(32(a,2),1003(a,1,2))]. 1005 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(71,a,1004,a)]. 1006 x \ ((x * (x \ y)) * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). [para(496(a,1),1000(a,1,1)),flip(a)]. 1007 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(285(a,1),514(a,1,1,1))]. 1008 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(343(a,1),527(a,1,2,1)),flip(a)]. 1009 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(344(a,1),530(a,1,2,1)),flip(a)]. 1010 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(534(a,1),327(a,1,2)),flip(a)]. 1011 (L(x / (y / z),u,w) * (y / z)) * z = L((x * z) / y,u,w) * y. [para(375(a,1),537(a,1,1,1)),flip(a)]. 1012 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(540(a,1),360(a,1,1)),flip(a)]. 1013 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [para(558(a,1),368(a,1))]. 1014 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [para(559(a,1),369(a,1))]. 1016 (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). [para(95(a,1),583(a,1,1,1,1))]. 1017 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(97(a,1),602(a,1,2,1,2))]. 1018 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(193(a,1),602(a,1,2,1,2))]. 1019 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(604(a,1),328(a,1,2)),flip(a)]. 1020 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [para(605(a,1),398(a,1,2)),flip(a)]. 1021 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [para(606(a,1),403(a,1,2))]. 1022 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [para(611(a,1),405(a,1,1)),flip(a)]. 1023 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(630(a,1),339(a,1,2))]. 1024 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(144(a,1),637(a,1,1,1)),flip(a)]. 1025 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [para(637(a,1),456(a,1,2))]. 1026 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(53(a,1),1024(a,1,1,2)),flip(a)]. 1027 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(942(a,1),1024(a,1,1)),flip(a)]. 1028 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(503(a,1),1027(a,1,1,2))]. 1029 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [para(670(a,2),315(a,1))]. 1030 (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). [para(16(a,1),363(a,1,1,1))]. 1031 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(483(a,2),19(a,1))]. 1032 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(95(a,1),617(a,1,1))]. 1033 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(622(a,1),901(a,1,1)),flip(a)]. 1034 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [para(623(a,1),795(a,1)),flip(a)]. 1035 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(14(a,1),1034(a,1,1,1,2,1)),flip(a)]. 1036 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(145(a,1),1034(a,1,1,1,2)),flip(a)]. 1037 x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. [para(109(a,1),1036(a,1,2))]. 1038 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(150,a,1037,a)]. 1039 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(78,a,1038,a(flip))]. 1041 T(x * y,y) / y = y \ T(y * x,y). [para(13(a,1),1039(a,1,1,1,1))]. 1042 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1039(a,2),14(a,1,2))]. 1043 x \ T(x * (y / x),x) = T(y,x) / x. [para(63(a,1),1039(a,1,1,1)),flip(a)]. 1044 x * (T(y * x,x) / x) = T(x * y,x). [para(1041(a,2),14(a,1,2))]. 1045 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(308(a,1),1041(a,1,1,1)),flip(a)]. 1046 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(439(a,1),1041(a,1,1,1)),flip(a)]. 1047 T(x * (y / x),x) = x * (T(y,x) / x). [para(63(a,1),1042(a,1,2,1,1)),flip(a)]. 1048 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(699(a,1),1044(a,1,2)),flip(a)]. 1049 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(642(a,1),1035(a,1,2)),flip(a)]. 1050 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(698(a,1),1035(a,1,2)),flip(a)]. 1051 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(911(a,2),1035(a,1,2)),flip(a)]. 1052 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(57(a,1),1051(a,1,1,1,2)),flip(a)]. 1054 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(167(a,2),1052(a,2,1))]. 1055 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(13(a,1),1054(a,1,2,2)),flip(a)]. 1056 K(x \ 1,x) * y != x * (K(x \ 1,x) * z) | x * z = y. [para(1055(a,1),19(a,1)),flip(a)]. 1057 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(145(a,1),682(a,1,2,2))]. 1058 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [para(750(a,1),161(a,1))]. 1059 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(161(a,1),1058(a,1,2)),flip(a)]. 1060 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(467,a,1059,a)]. 1061 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(71,a,1059,a)]. 1062 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(17,a,194,a,b,1059,a),flip(a)]. 1063 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(17,a,188,a,b,1059,a)]. 1064 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [para(14(a,1),1059(a,1,2)),flip(a)]. 1065 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [para(1059(a,1),26(a,2,2)),flip(a)]. 1066 (L(x,y,z) \ x) / (L(x,y,z) \ 1) = x. [hyper(78,a,1063,a)]. 1067 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(71,a,1063,a)]. 1068 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1063(a,1),26(a,2,1)),flip(a)]. 1069 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1063(a,1),171(a,1,2)),flip(a)]. 1070 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [para(14(a,1),1060(a,1,2)),flip(a)]. 1071 x \ (L(x,y,z) * (u * x)) = L(x,y,z) * T(u,x). [para(32(a,2),1060(a,2,2))]. 1072 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1061(a,1),1029(a,1,1,1)),flip(a)]. 1073 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(167(a,2),1062(a,1,2))]. 1074 x * (L(x,y,z) \ (L(x,y,z) / x)) = K(x,L(x,y,z) / x). [para(1062(a,1),90(a,1))]. 1076 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [para(1064(a,1),32(a,2,2)),flip(a)]. 1077 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(71,a,1070,a)]. 1078 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [para(32(a,2),1077(a,1,2)),flip(a)]. 1079 x * T(1 / x,L(x,y,z)) = K(x,L(x,y,z) / x). [para(773(a,1),1074(a,1,2))]. 1080 K(x \ 1,L(x \ 1,y,z) / (x \ 1)) = (x \ 1) * T(x,L(x \ 1,y,z)). [para(59(a,1),1079(a,1,2,1)),flip(a)]. 1081 (x * y) * L((x * y) \ y,z,u) = (L(1 / x,z,u) * x) * y. [para(754(a,1),437(a,1)),flip(a)]. 1082 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(71,a,784,a)]. 1083 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(12(a,1),784(a,2,2,1,2))]. 1084 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(71,a,1083,a),flip(a)]. 1085 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(703(a,2),1083(a,1,2)),flip(a)]. 1086 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(71,a,1085,a(flip)),flip(a)]. 1087 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(13(a,1),1085(a,1,2,1)),flip(a)]. 1088 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(26(a,2),1085(a,2,2,1,2,2))]. 1089 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(28(a,2),1085(a,2,2,1,2,2))]. 1090 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(57(a,1),1085(a,2,2,1,2))]. 1091 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [para(1085(a,1),690(a,1))]. 1092 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [para(1085(a,1),698(a,1)),flip(a)]. 1093 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(15(a,1),1086(a,1,1,2))]. 1094 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(32(a,2),1086(a,1,1,2,2))]. 1095 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(61(a,1),1086(a,2,2,2,1))]. 1096 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1086(a,1),970(a,1,2,2))]. 1097 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(851(a,1),1096(a,1,2,2,2,2))]. 1098 T(x,x * (T(x,y) \ x)) = x. [para(14(a,1),1097(a,1,2,2,2))]. 1099 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1098(a,1),38(a,1,1)),flip(a)]. 1100 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(57(a,1),1087(a,1,2,1,2))]. 1101 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(16(a,1),1092(a,1,1,1)),flip(a)]. 1102 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(953(a,1),1095(a,2,2))]. 1103 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(11(a,1),785(a,2,1,1,1))]. 1104 (T(x / (y / z),u) * (y / z)) * z = y * T(y \ (x * z),u). [para(785(a,2),307(a,1))]. 1105 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [para(1103(a,2),307(a,1))]. 1106 (((x / y) \ 1) * (x / y)) * y = x * T(x \ y,x / y). [para(111(a,1),1105(a,1,1,1))]. 1107 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(307(a,1),1105(a,1,1))]. 1108 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(167(a,2),1106(a,1,1))]. 1109 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [hyper(78,a,1107,a),flip(a)]. 1110 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [para(1108(a,2),305(a,1))]. 1111 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [para(1109(a,1),703(a,2))]. 1112 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(1109(a,1),705(a,2))]. 1113 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(30(a,2),1111(a,1,1,2,2))]. 1114 (x * (T(x,y) \ z)) * R((x * (T(x,y) \ z)) \ (x * z),u,w) = R(T(x,y),u,w) * (x * (T(x,y) \ z)). [para(826(a,1),162(a,1,2,1))]. 1115 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [para(826(a,1),1099(a,1))]. 1116 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1115(a,1),59(a,1,2))]. 1117 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1116(a,2),507(a,1,2))]. 1118 (x / T(x,y)) * x = x * (T(x,y) \ x). [para(1116(a,1),940(a,1)),flip(a)]. 1119 T(x / T(x,y),x) = T(x,y) \ x. [hyper(150,a,1118,a(flip))]. 1120 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1119(a,1),307(a,1,1)),flip(a)]. 1121 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(111(a,1),834(a,1,2)),flip(a)]. 1122 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(59(a,1),1121(a,1,2,1,1)),flip(a)]. 1123 T(L(x,y,z),u) * (x \ 1) = x \ T(L(x,y,z),u). [para(14(a,1),904(a,1,2,1)),flip(a)]. 1125 T(L(x,y,z),u) * (x \ 1) = x \ L(T(x,u),y,z). [para(40(a,2),1123(a,2,2))]. 1126 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(40(a,2),1125(a,1,1))]. 1127 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(675(a,1),914(a,1,2)),flip(a)]. 1128 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(88(a,1),1127(a,2,2))]. 1129 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(13(a,1),1128(a,1,1,1))]. 1130 (x * y) * ((y * x) \ y) = y * K(x,y). [para(13(a,1),1129(a,2,2,1))]. 1131 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [hyper(207,a,1130,a)]. 1132 (x * y) * L(x \ 1,x,y) = y * K(x,y). [para(142(a,2),1130(a,1,2))]. 1134 (x * y) \ (y * K(x,y)) = L(x \ 1,x,y). [hyper(71,a,1132,a)]. 1135 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(13(a,1),917(a,1,1)),flip(a)]. 1136 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(467,a,1135,a)]. 1137 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(319,a,1135,a),flip(a)]. 1138 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(17,a,194,a,b,1135,a),flip(a)]. 1139 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(17,a,188,a,b,1135,a)]. 1140 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [para(1137(a,1),594(a,2))]. 1141 x \ (((y * x) / y) \ x) = ((y * x) / y) \ 1. [hyper(71,a,1139,a)]. 1142 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(318(a,1),1139(a,1,2,1)),flip(a)]. 1143 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(1136(a,1),96(a,1))]. 1144 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [para(61(a,1),918(a,1,1)),flip(a)]. 1145 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [hyper(319,a,1144,a),flip(a)]. 1147 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [para(1145(a,1),976(a,1)),flip(a)]. 1148 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(13(a,1),974(a,1,1,2)),flip(a)]. 1149 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(468,a,1148,a)]. 1150 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(293,a,1148,a),flip(a)]. 1151 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [hyper(18,a,246,a,b,1148,a)]. 1152 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(847(a,1),1148(a,1,1)),flip(a)]. 1153 (x / ((y * x) / y)) / x = 1 / ((y * x) / y). [hyper(78,a,1150,a)]. 1154 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [para(59(a,1),1151(a,1,1)),flip(a)]. 1155 T(x,x / (x / y)) * y = x * ((x * y) / x). [para(16(a,1),1152(a,1,1)),flip(a)]. 1156 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(825,a,1155,a)]. 1157 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(145(a,1),1155(a,2,2))]. 1159 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(78,a,1156,a)]. 1161 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1157(a,1),807(a,1,2)),flip(a)]. 1162 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(78,a,1161,a),flip(a)]. 1163 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [para(1162(a,1),864(a,1))]. 1164 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [para(1163(a,1),200(a,2))]. 1165 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [para(1007(a,1),437(a,1))]. 1166 x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). [para(1020(a,1),845(a,1))]. 1167 T(x,x / (y \ 1)) = T(x,y * x). [para(1166(a,1),961(a,1))]. 1168 (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). [para(12(a,1),1021(a,1,2,1,2))]. 1169 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(11(a,1),1022(a,2,1,1,2))]. 1170 (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. [para(1022(a,1),593(a,1)),flip(a)]. 1171 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [para(1022(a,1),841(a,1))]. 1172 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(14(a,1),1171(a,1,1,1,2)),flip(a)]. 1173 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1171(a,1),1164(a,1,1))]. 1174 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [para(1172(a,2),1159(a,1))]. 1175 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(13(a,1),1174(a,1,2,2,2)),flip(a)]. 1176 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [para(1169(a,1),593(a,1)),flip(a)]. 1177 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(307(a,1),1025(a,2,1))]. 1178 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(437(a,1),1081(a,2,1))]. 1179 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(14(a,1),1082(a,1,2,2,1,2)),flip(a)]. 1180 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(78,a,1104,a)]. 1181 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(437(a,1),1165(a,1,1))]. 1182 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(11(a,1),1177(a,1,2,1,2))]. 1183 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [para(1177(a,1),518(a,1))]. 1184 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [para(1177(a,1),624(a,1)),flip(a)]. 1185 (x * T(x \ 1,y)) * x = x * (x * T(x \ 1,y)). [para(1182(a,1),518(a,1))]. 1186 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [para(1182(a,1),624(a,1)),flip(a)]. 1187 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1182(a,1),1094(a,2,2))]. 1188 T(x,x * T(x \ 1,y)) = x. [hyper(150,a,1185,a)]. 1189 T(x,(x \ 1) * x) = x. [para(109(a,1),1188(a,1,2))]. 1190 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1188(a,1),560(a,1,1))]. 1191 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(309(a,1),1188(a,1,2))]. 1192 T(x \ 1,x \ T(x,y)) = x \ 1. [para(689(a,1),1188(a,1,2))]. 1193 T(1 / x,T(x,y) / x) = 1 / x. [para(719(a,1),1188(a,1,2))]. 1194 T(x,K(x \ 1,x)) = x. [para(167(a,2),1189(a,1,2))]. 1195 R(x,x \ 1,x) = T(x,x \ 1). [para(1189(a,1),557(a,1,1))]. 1196 T(x,x \ 1) \ x = (x \ 1) * x. [para(1195(a,1),299(a,1,1))]. 1197 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(35,a,1192,a)]. 1198 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1192(a,1),109(a,1,2))]. 1199 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1193(a,1),315(a,1,1,2)),flip(a)]. 1200 T(x,x \ 1) \ x = x * T(x \ 1,x). [para(1196(a,2),109(a,2)),flip(a)]. 1201 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1191(a,1),557(a,1,1))]. 1202 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1197(a,1),525(a,1,1)),flip(a)]. 1203 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(811,a,1200,a)]. 1204 1 / T(x \ 1,x) = T(x,x \ 1). [para(1203(a,1),59(a,1,2))]. 1205 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(110(a,1),1203(a,1,1)),flip(a)]. 1206 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(221(a,1),1203(a,1,1)),flip(a)]. 1207 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [para(1203(a,1),232(a,2))]. 1208 T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x). [para(1205(a,2),110(a,2))]. 1209 T((x \ 1) \ 1,x \ 1) = T(x \ 1,x) \ 1. [para(1205(a,2),1205(a,2,1))]. 1210 T(x,1 / x) = (x \ 1) \ 1. [para(61(a,1),1206(a,1,1))]. 1211 ((1 / x) * ((x \ 1) \ 1)) / (1 / x) = x. [para(1210(a,1),145(a,1,1,2))]. 1212 T(x,1 / x) = T(x,x \ 1). [para(1210(a,2),110(a,2)),flip(a)]. 1213 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1210(a,1),565(a,1,1))]. 1214 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1210(a,1),768(a,1,1,1))]. 1215 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1212(a,1),315(a,1,1,2))]. 1216 T(x,x \ 1) / x = K(x,1 / x). [para(1212(a,1),565(a,1,1))]. 1217 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1212(a,1),563(a,2,1))]. 1218 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(61(a,1),1213(a,1,1,1)),flip(a)]. 1219 (x \ 1) \ (1 / x) = K(x,1 / x). [para(1213(a,1),922(a,1)),flip(a)]. 1220 (x \ 1) * K(x,1 / x) = 1 / x. [para(1219(a,1),14(a,1,2))]. 1221 (1 / x) / K(x,1 / x) = x \ 1. [para(1219(a,1),59(a,1,2))]. 1222 R(1 / x,x,1 / x) = x \ 1. [para(1221(a,1),291(a,1)),flip(a)]. 1223 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1222(a,1),288(a,1,1)),flip(a)]. 1224 T(1 / (1 / x),x \ 1) = x. [para(1211(a,1),679(a,1)),flip(a)]. 1225 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1224(a,1),38(a,1,1)),flip(a)]. 1226 T(1 / (1 / (1 / x)),x) = 1 / x. [para(61(a,1),1224(a,1,2))]. 1227 (1 / (1 / x)) * (x \ 1) = (x \ 1) * x. [para(1224(a,1),109(a,1,2)),flip(a)]. 1228 (x * (1 / x)) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). [para(1224(a,1),874(a,1,1,1))]. 1229 T(x,x \ 1) / x = K(x,x \ 1). [para(1224(a,1),983(a,1,1)),flip(a)]. 1230 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(1226(a,1),109(a,1,2)),flip(a)]. 1231 K(x,x \ 1) * x = T(x,x \ 1). [para(1229(a,1),16(a,1,1))]. 1232 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(110(a,1),1229(a,1,1))]. 1233 K(x,1 / x) = K(x,x \ 1). [para(1229(a,1),1216(a,1)),flip(a)]. 1234 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(59(a,1),1233(a,1,2)),flip(a)]. 1235 K(x,x \ 1) = x * (1 / x). [para(1233(a,1),170(a,1))]. 1236 x \ K(x,x \ 1) = 1 / x. [para(1233(a,1),238(a,1,2))]. 1237 K((x / y) \ x,1 / y) = K(y,y \ 1). [para(1233(a,1),481(a,2))]. 1238 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1233(a,1),1220(a,1,2))]. 1240 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1235(a,2),91(a,1,1))]. 1241 K(x \ 1,x) \ 1 = x * (1 / x). [para(1235(a,1),302(a,2))]. 1242 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1235(a,2),597(a,1,2))]. 1243 T(x,y) \ K(x,x \ 1) = x * (T(x,y) \ (1 / x)). [para(1235(a,2),801(a,1,2))]. 1244 T((x * y) \ (K(x,x \ 1) * y),x) = R(T(1 / x,x * y),x,y). [para(1235(a,2),1024(a,1,1,2,1))]. 1245 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1235(a,2),624(a,1,1))]. 1246 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1235(a,2),1059(a,1,2))]. 1247 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1235(a,2),1062(a,1,2))]. 1248 T(x \ (K(y,y \ 1) * (y \ x)),y) = R(T(1 / y,x),y,y \ x). [para(1236(a,1),684(a,1,1,1)),flip(a)]. 1249 K(x,x \ 1) * x = (x \ 1) \ 1. [para(1231(a,2),110(a,1))]. 1250 T(x,x \ 1) \ (K(x,x \ 1) * y) = L(x \ y,x,K(x,x \ 1)). [para(1231(a,1),97(a,2,1)),flip(a)]. 1251 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1231(a,1),329(a,1,1))]. 1252 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(1242(a,1),104(a,1,2))]. 1253 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1242(a,1),105(a,2,2))]. 1254 (x \ 1) / (1 / x) = (x \ 1) * x. [para(1227(a,1),976(a,1)),flip(a)]. 1255 ((x \ 1) * x) \ (x \ 1) = 1 / x. [para(1254(a,1),61(a,1,1))]. 1256 (x \ 1) / (1 / x) = K(x \ 1,x). [para(1254(a,2),167(a,2)),flip(a)]. 1257 L(x \ 1,x,x \ 1) = 1 / x. [para(1255(a,1),142(a,2))]. 1258 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1255(a,1),279(a,2,1))]. 1259 K(x \ 1,x) * (1 / x) = x \ 1. [para(1256(a,1),16(a,1,1))]. 1260 x \ (1 / (1 / x)) = K(x \ 1,x). [para(1256(a,1),1147(a,1)),flip(a)]. 1261 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1259(a,1),95(a,1,1))]. 1262 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1259(a,1),97(a,2,1))]. 1263 K(x \ 1,x) * y != (x \ 1) * L(z,1 / x,K(x \ 1,x)) | (1 / x) * z = y. [para(1259(a,1),323(a,1,1)),flip(a)]. 1264 x * K(x \ 1,x) = 1 / (1 / x). [para(1260(a,1),14(a,1,2))]. 1265 x * (T(x,y) \ K(x \ 1,x)) = T(x,y) \ (1 / (1 / x)). [para(1260(a,1),819(a,1,2,2))]. 1267 L(x,x \ 1,x) = 1 / (1 / x). [para(1264(a,1),402(a,1)),flip(a)]. 1268 L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). [para(1267(a,1),40(a,2,1))]. 1269 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1267(a,1),44(a,1,1)),flip(a)]. 1270 x / (1 / (1 / x)) = x * (1 / x). [para(1230(a,1),984(a,1)),flip(a)]. 1271 x / (1 / (1 / x)) = K(x,x \ 1). [para(1270(a,2),1235(a,2)),flip(a)]. 1272 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1271(a,1),16(a,1,1))]. 1273 K(x,x \ 1) \ x = 1 / (1 / x). [para(1271(a,1),61(a,1,1))]. 1274 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1272(a,1),95(a,1,1))]. 1275 L((1 / (1 / x)) \ y,1 / (1 / x),K(x,x \ 1)) = x \ (K(x,x \ 1) * y). [para(1272(a,1),97(a,2,1))]. 1276 K(x,1 / x) * (1 / (1 / x)) = x. [para(1233(a,2),1272(a,1,1))]. 1277 L(x,1 / x,x) = 1 / (1 / x). [hyper(432,a,1276,a)]. 1278 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1277(a,1),40(a,2,1))]. 1279 T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. [para(1268(a,1),397(a,1,1))]. 1280 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [para(1278(a,1),746(a,2))]. 1281 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [para(1218(a,2),1256(a,1))]. 1282 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [para(1281(a,1),1233(a,1)),flip(a)]. 1283 K(1 / x,x) = K(x \ 1,x). [para(61(a,1),1282(a,1,2))]. 1284 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(59(a,1),1283(a,1,1)),flip(a)]. 1285 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(T(x,x \ 1),T(x \ 1,x)). [para(1204(a,1),1283(a,1,1)),flip(a)]. 1286 K(x,x \ 1) \ 1 = K(x \ 1,x). [para(1283(a,1),1240(a,2))]. 1287 x * K(1 / x,x) = 1 / (1 / x). [para(1283(a,2),1264(a,1,2))]. 1288 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1284(a,1),1054(a,1,2,1))]. 1289 K((x \ 1) \ 1,x \ 1) = K(x,1 / x). [para(1284(a,2),1233(a,2)),flip(a)]. 1290 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,1 / (x \ 1)). [para(1205(a,2),1289(a,1,1))]. 1291 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1223(a,1),128(a,1,1))]. 1292 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1217(a,1),615(a,1,2))]. 1293 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1258(a,1),342(a,1,2))]. 1294 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(61(a,1),1214(a,1,1,1,1)),flip(a)]. 1295 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1214(a,1),111(a,1,1))]. 1296 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [para(1215(a,1),315(a,1))]. 1297 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(145(a,1),1296(a,1,1)),flip(a)]. 1298 K(x,y) = T((y * x) \ (x * y),x \ 1). [para(1202(a,2),524(a,2))]. 1299 T(K(x,y),x \ 1) = K(x,y). [para(26(a,2),1298(a,2,1)),flip(a)]. 1300 T(x \ 1,K(x,y)) = x \ 1. [hyper(35,a,1299,a)]. 1301 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [para(1299(a,1),109(a,1,2)),flip(a)]. 1302 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1300(a,1),277(a,2,1))]. 1303 K(x,x \ 1) * (x \ 1) = 1 / x. [para(1301(a,2),1238(a,1))]. 1304 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1303(a,1),386(a,1,1))]. 1305 x * R(x \ K(x,x \ 1),y,z) = R(1 / x,y,z) / (x \ 1). [para(1303(a,1),931(a,1,1,1)),flip(a)]. 1306 T((x * y) \ x,K(y,z)) = (x * y) \ x. [para(1302(a,2),142(a,1))]. 1307 T(K(x,y),(z * x) \ z) = K(x,y). [hyper(35,a,1306,a)]. 1308 T(K(x \ 1,y),x) = K(x \ 1,y). [para(114(a,1),1307(a,1,2))]. 1309 T(x,K(x \ 1,y)) = x. [hyper(35,a,1308,a)]. 1310 K(x \ 1,y) * x = x * K(x \ 1,y). [para(1308(a,1),109(a,1,2)),flip(a)]. 1311 T(1 / x,K(x,y)) = 1 / x. [para(61(a,1),1309(a,1,2,1))]. 1312 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1311(a,1),539(a,1,1)),flip(a)]. 1313 K(x \ 1,x) * x = 1 / (1 / x). [para(1310(a,2),1264(a,1))]. 1314 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(109(a,1),1186(a,1,2)),flip(a)]. 1315 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(78,a,1314,a)]. 1316 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(882(a,1),1315(a,1,1,2,1))]. 1317 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(1187(a,2),14(a,1,2)),flip(a)]. 1318 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [para(1187(a,2),32(a,2))]. 1319 T(x * T(x \ 1,T(x,y)),y) = K(T(x,y) \ 1,T(x,y)). [para(57(a,1),1318(a,2,1,2))]. 1320 K(x \ (x / T(x,y)),x) = T((x \ 1) * x,y). [para(109(a,1),1318(a,1,1)),flip(a)]. 1321 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [para(176(a,1),1318(a,2,1,2))]. 1322 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(689(a,1),1318(a,1,1))]. 1323 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [para(1318(a,2),703(a,1)),flip(a)]. 1324 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [para(1318(a,2),704(a,1,2))]. 1325 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(790(a,2),1318(a,1,1)),flip(a)]. 1326 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(167(a,2),1320(a,2,1))]. 1327 T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(1063(a,2),1321(a,1,2))]. 1328 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1207(a,1),1322(a,2,1,2,2))]. 1329 K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). [para(275(a,1),1325(a,1,1,2,2,1))]. 1330 T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). [para(110(a,1),1329(a,1,1,2,2)),flip(a)]. 1332 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1280(a,1),14(a,1,2))]. 1333 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,x). [para(59(a,1),1290(a,2,2))]. 1334 K(T(x \ 1,x),T(x,x \ 1)) = K(x \ 1,x). [para(110(a,2),1333(a,1,2))]. 1335 K(T((x \ 1) \ 1,x \ 1),T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [para(1334(a,2),1284(a,1))]. 1336 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(145(a,1),1297(a,1,1)),flip(a)]. 1337 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1336(a,1),950(a,1,1))]. 1338 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1337(a,1),952(a,1,1,1))]. 1339 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [para(1319(a,2),167(a,1))]. 1341 (x \ (x / T(x,y))) * T(x,y) = T(x * T(x \ 1,x),y). [para(1323(a,1),964(a,1)),flip(a)]. 1342 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1192(a,1),1324(a,1,2,1,2)),flip(a)]. 1343 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1233(a,1),1332(a,1,1))]. 1344 (x \ (x / T(x,y))) * T(x,y) = T((x \ 1) * x,y). [para(109(a,1),1341(a,2,1))]. 1345 (x \ (x / T(x,y))) * T(x,y) = T(K(x \ 1,x),y). [para(167(a,2),1344(a,2,1))]. 1346 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(1273(a,2),1343(a,1,2,1))]. 1347 T((1 * x) / y,K(y / x,z)) = x / y. [para(1312(a,2),286(a,1))]. 1348 T(x / y,K(y / x,z)) = x / y. [para(11(a,1),1347(a,1,1,1))]. 1349 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1348(a,1),163(a,1,1)),flip(a)]. 1350 T(x \ y,K(x / y,z)) = x \ y. [para(1349(a,2),111(a,1))]. 1351 (x * L(x \ 1,y,z)) * x = x * (x * L(x \ 1,y,z)). [para(1178(a,1),620(a,1))]. 1352 T(x,x * L(x \ 1,y,z)) = x. [hyper(150,a,1351,a)]. 1353 K(x,x * L(x \ 1,y,z)) = 1. [hyper(36,a,1352,a)]. 1354 T(x,x * ((y * x) \ y)) = x. [para(142(a,1),1352(a,1,2,2))]. 1355 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(275(a,1),1352(a,1,2,2))]. 1356 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(440(a,1),1352(a,1,2))]. 1357 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(899(a,1),1352(a,1,2))]. 1358 (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). [para(1354(a,1),505(a,1,1,2))]. 1359 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(720(a,1),1354(a,1,2,2,1))]. 1360 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1355(a,1),503(a,1,2)),flip(a)]. 1361 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1356(a,1),557(a,1,1))]. 1362 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(35,a,1359,a)]. 1363 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(18,a,574,a,b,1360,a)]. 1364 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(32(a,2),1179(a,1,1))]. 1365 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [para(1180(a,2),307(a,1))]. 1366 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1257(a,1),1181(a,1,1,2)),flip(a)]. 1367 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1235(a,2),1366(a,2,1))]. 1368 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(150,a,1184,a),flip(a)]. 1369 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(14(a,1),1184(a,1,2,2,1,2,2))]. 1370 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(16(a,1),1184(a,1,2,2,1,2,2)),flip(a)]. 1371 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(97(a,2),1184(a,1,2,2,1,2)),flip(a)]. 1372 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [para(1184(a,1),1048(a,2))]. 1373 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(32(a,2),1368(a,1,2,1,2)),flip(a)]. 1374 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(71,a,1373,a(flip))]. 1375 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(13(a,1),1374(a,1,2,1,2,1))]. 1376 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1043(a,1),1375(a,2,1))]. 1377 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1376(a,1),14(a,1,2)),flip(a)]. 1378 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [para(1376(a,1),1045(a,1)),flip(a)]. 1379 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(130(a,1),1377(a,2,2,1,1))]. 1380 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [para(1236(a,1),1305(a,1,2,1)),flip(a)]. 1381 R(1 / (x \ 1),y,z) / T(x,x \ 1) = (x \ 1) * R(1 / (x \ 1),y,z). [para(110(a,2),1380(a,1,2))]. 1382 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(286(a,1),1380(a,1,1)),flip(a)]. 1383 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [para(1328(a,2),1322(a,2)),flip(a)]. 1384 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(1383(a,1),525(a,1,1)),flip(a)]. 1385 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [para(1338(a,1),593(a,1)),flip(a)]. 1386 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(14(a,1),1342(a,2,2,1))]. 1388 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(130(a,1),1386(a,2,2))]. 1390 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(1346(a,1),731(a,1,1))]. 1391 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(109(a,1),1365(a,1,1)),flip(a)]. 1392 ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(942(a,1),1365(a,1,1,2,1)),flip(a)]. 1393 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(623(a,1),1365(a,1,1)),flip(a)]. 1394 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(624(a,1),1365(a,1,1))]. 1395 x \ (y * (x * T(x \ (y \ z),u))) = T(y * T(y \ (z / x),u),x). [para(1370(a,1),32(a,2,2)),flip(a)]. 1396 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(642(a,1),1370(a,1,1)),flip(a)]. 1397 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(733(a,2),1370(a,1,1))]. 1398 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(802(a,1),1385(a,1,2,1))]. 1399 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(51(a,1),1397(a,2,2,2,1,2))]. 1401 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(109(a,1),1399(a,2,2))]. 1402 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(167(a,2),1401(a,2,2))]. 1403 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(15(a,1),1402(a,1,1,1))]. 1404 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(575(a,1),1402(a,1,1,1))]. 1405 ((x / K(y \ 1,y)) * y) * K(y \ 1,y) = x * y. [para(16(a,1),1403(a,1,1)),flip(a)]. 1406 ((x * (y \ 1)) / K(y \ 1,y)) * y = R(x,y \ 1,y). [hyper(18,a,372,a,b,1405,a)]. 1407 (x * (y \ 1)) / K(y \ 1,y) = R(x,y \ 1,y) / y. [hyper(78,a,1406,a),flip(a)]. 1408 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(442(a,1),154(a,1,1))]. 1409 (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). [para(14(a,1),1408(a,1,1,2))]. 1410 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(607(a,1),327(a,1,2)),flip(a)]. 1411 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(347(a,1),627(a,1,2,1))]. 1412 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(275(a,1),781(a,1,2))]. 1413 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [para(1412(a,1),59(a,1,2))]. 1414 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [para(892(a,1),553(a,1))]. 1415 (1 / (x / y)) * ((y / x) * (x / y)) = y / x. [para(1414(a,1),14(a,1,2))]. 1416 T(1 / (x / y),(y / x) * (x / y)) = ((y / x) * (x / y)) \ (y / x). [para(1415(a,1),32(a,2,2))]. 1417 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(275(a,1),907(a,1,1)),flip(a)]. 1418 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1417(a,1),14(a,1,2))]. 1419 (1 / ((x * y) \ x)) * ((x \ (x * y)) * ((x * y) \ x)) = y. [para(1418(a,2),13(a,1))]. 1420 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [para(1418(a,1),32(a,2,2))]. 1421 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(13(a,1),1419(a,1,2,1))]. 1422 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(15(a,1),1072(a,2,1))]. 1423 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1422(a,1),308(a,1,1)),flip(a)]. 1424 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(17,a,161,a,b,1423,a),flip(a)]. 1425 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(311(a,1),1190(a,1,2)),flip(a)]. 1426 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(311(a,1),1425(a,1,2)),flip(a)]. 1427 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1426(a,1),46(a,1,1)),flip(a)]. 1428 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1426(a,1),1004(a,1,1))]. 1429 T((x * y) \ (K(x,x \ 1) * y),x) = (x * y) \ y. [para(1244(a,2),520(a,1))]. 1430 T(x \ (K(y,y \ 1) * (y \ x)),y) = x \ (y \ x). [para(1248(a,2),639(a,1))]. 1431 T(x \ (K(y \ 1,y) * ((y \ 1) \ x)),y \ 1) = x \ ((y \ 1) \ x). [para(1234(a,1),1430(a,1,1,2,1))]. 1432 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [para(1291(a,2),1235(a,2)),flip(a)]. 1433 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(286(a,1),1382(a,1,2)),flip(a)]. 1434 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [para(1433(a,1),16(a,1,1))]. 1435 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(59(a,1),1433(a,1,1)),flip(a)]. 1436 (x / (y \ x)) * ((y \ x) / x) = ((y \ x) / x) / (y \ 1). [para(59(a,1),1433(a,1,2,1)),flip(a)]. 1437 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(59(a,1),1435(a,1,2)),flip(a)]. 1438 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1437(a,1),936(a,1,2,1,2))]. 1439 ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). [para(59(a,1),1436(a,1,1)),flip(a)]. 1440 (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. [para(1439(a,1),16(a,1,1))]. 1442 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [para(1440(a,2),285(a,2)),flip(a)]. 1443 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [para(1384(a,2),525(a,1))]. 1444 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(26(a,2),1443(a,2,1))]. 1445 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(26(a,2),1444(a,1,1))]. 1446 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(167(a,2),748(a,1,1))]. 1447 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(167(a,2),749(a,1,1))]. 1448 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [para(749(a,1),1178(a,1))]. 1449 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [para(13(a,1),1448(a,1,2,2,1,2))]. 1450 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1257(a,1),1448(a,2,1,2))]. 1451 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1367(a,1),1450(a,1,2))]. 1452 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(17,a,95,a(flip),b,1451,a)]. 1453 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1235(a,2),1451(a,2,1))]. 1454 x \ (K(x,x \ 1) * y) = K(x,x \ 1) * (x \ y). [hyper(71,a,1453,a)]. 1455 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(13(a,1),1453(a,1,2,2)),flip(a)]. 1456 K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. [para(1453(a,1),19(a,1))]. 1457 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(32(a,2),1453(a,1,2,2))]. 1458 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1234(a,1),1453(a,1,2,1))]. 1459 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(1282(a,1),1453(a,1,2,1))]. 1460 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(1452(a,1),19(a,1)),flip(a)]. 1461 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [para(755(a,1),439(a,1))]. 1462 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(439(a,1),1461(a,1,1))]. 1463 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(468,a,1462,a)]. 1464 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(293,a,1462,a),flip(a)]. 1465 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(71,a,1462,a)]. 1466 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(18,a,202,a,b,1462,a),flip(a)]. 1467 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) = K(y,x * L(y,z,u)). [para(1462(a,1),26(a,2,1)),flip(a)]. 1468 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [para(1464(a,1),32(a,2,2))]. 1469 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [para(16(a,1),1465(a,1,2,1))]. 1470 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1465(a,1),1024(a,1,1)),flip(a)]. 1471 ((x * L(y,z,u)) / L(y,z,u)) * T(((x * L(y,z,u)) / L(y,z,u)) \ (x * y),w) = ((x * L(y,z,u)) * T(y,w)) / L(y,z,u). [para(1465(a,1),1365(a,1,1,2,1)),flip(a)]. 1472 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(95(a,1),1466(a,1,1)),flip(a)]. 1473 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1468(a,1),163(a,1,1))]. 1474 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1470(a,1),456(a,1,2))]. 1475 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(71,a,1472,a),flip(a)]. 1476 L(x,y,z) \ ((z * (y * x)) / x) = T((z * y) / x,L(x,y,z)). [para(1472(a,1),32(a,2,2)),flip(a)]. 1477 ((x * (y / z)) / z) \ ((x * y) / z) = L(z,y / z,x). [para(16(a,1),1475(a,2,2,1,2)),flip(a)]. 1478 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [para(756(a,2),437(a,1))]. 1479 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [para(758(a,1),451(a,1)),flip(a)]. 1480 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(95(a,1),787(a,1,1))]. 1481 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [para(787(a,1),845(a,1))]. 1482 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(71,a,1481,a)]. 1483 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1385(a,1),1481(a,1,2))]. 1484 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(104(a,1),788(a,1,2))]. 1485 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [para(788(a,1),593(a,1)),flip(a)]. 1486 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [para(842(a,1),609(a,1)),flip(a)]. 1487 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1137(a,1),1486(a,1,1))]. 1488 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(78,a,1487,a)]. 1489 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(145(a,1),1487(a,1,1,2)),flip(a)]. 1490 (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. [para(61(a,1),1488(a,1,1,2,2)),flip(a)]. 1491 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1488(a,1),729(a,1,3)),flip(a)]. 1492 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1489(a,1),1115(a,1,1,2,1))]. 1493 T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). [para(1490(a,1),1168(a,1))]. 1494 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(1493(a,1),16(a,1,1))]. 1495 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(802(a,1),1494(a,1,1,2,1))]. 1496 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1482(a,2),1494(a,1,1)),flip(a)]. 1497 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [para(880(a,2),162(a,1))]. 1498 T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). [para(802(a,1),1497(a,1,2,1,2))]. 1499 T(1 / x,(y / (x * y)) * x) = L(x \ 1,x,y / (x * y)). [para(896(a,1),142(a,2)),flip(a)]. 1500 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(61(a,1),930(a,1,2)),flip(a)]. 1501 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(11(a,1),1500(a,2,1,1))]. 1502 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1501(a,1),1352(a,1,2))]. 1503 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1502(a,1),315(a,1,1,2)),flip(a)]. 1504 L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(59(a,1),934(a,1,1,2,1))]. 1505 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(71,a,1008,a)]. 1506 (x / y) * (y * L(y \ x,z,u)) = L(x / y,z,u) * x. [para(1009(a,2),434(a,1))]. 1507 (x * L(x \ y,z,u)) \ (L(y / x,z,u) * y) = T(y / x,x * L(x \ y,z,u)). [para(1506(a,1),32(a,2,2)),flip(a)]. 1508 (x / y) * (y * L(y \ x,z,u)) = x * T(L(x / y,z,u),x). [para(1506(a,2),109(a,2)),flip(a)]. 1509 L(L(x \ y,z,u),x,y / x) = T(L(y / x,z,u),y). [hyper(529,a,1508,a)]. 1510 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(71,a,1010,a)]. 1511 (L(x / (y / z),u,w) * (y / z)) * z = y * L(y \ (x * z),u,w). [para(1011(a,2),437(a,1))]. 1512 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(11(a,1),1012(a,2,1,1,1))]. 1513 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [para(1512(a,2),451(a,1))]. 1514 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(451(a,1),1513(a,1,1))]. 1515 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(78,a,1514,a),flip(a)]. 1516 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(30(a,2),1515(a,1,1)),flip(a)]. 1517 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [para(1016(a,2),337(a,1))]. 1518 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(109(a,1),1517(a,1,1,1,1,2))]. 1519 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(162(a,1),1518(a,2,2))]. 1520 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(71,a,1019,a)]. 1521 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(941(a,1),1057(a,1,2))]. 1522 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(59(a,1),1122(a,1,1,1)),flip(a)]. 1523 (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). [para(518(a,1),1183(a,1,1))]. 1524 K(x,x \ 1) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). [para(1235(a,2),1228(a,1,1))]. 1525 K(T(x \ 1,x) \ 1,T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [para(1209(a,1),1335(a,1,1))]. 1526 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(x,x \ 1). [para(1208(a,1),1525(a,1,2))]. 1527 K(T(x,x \ 1),T(x \ 1,x)) = K(x,x \ 1). [para(1526(a,1),1285(a,1)),flip(a)]. 1528 K(T(x,x \ 1),T(x,x \ 1) \ 1) = K(x,x \ 1). [para(1203(a,2),1527(a,1,2))]. 1529 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = T(x,x \ 1) \ (K(x,x \ 1) * y). [para(1528(a,1),1454(a,1,2,1)),flip(a)]. 1530 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(163(a,1),1428(a,1,2))]. 1531 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [para(1530(a,2),1379(a,1))]. 1532 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(437(a,1),1478(a,1,1))]. 1533 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(451(a,1),1479(a,2,1))]. 1534 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(593(a,1),1485(a,2,1))]. 1535 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(12(a,1),1505(a,1,2,2,1,2)),flip(a)]. 1536 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(28(a,2),1535(a,1,1)),flip(a)]. 1537 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(12(a,1),1510(a,1,2,2,1,2)),flip(a)]. 1538 ((x / y) * L((x / y) \ z,u,w)) * y = x * L(x \ (z * y),u,w). [para(437(a,1),1511(a,1,1))]. 1539 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(14(a,1),1520(a,1,2,2,1))]. 1540 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [para(1539(a,1),90(a,1)),flip(a)]. 1541 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(59(a,1),1540(a,1,2,1)),flip(a)]. 1542 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(722(a,1),1540(a,1,2)),flip(a)]. 1543 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(772(a,1),1540(a,1,2)),flip(a)]. 1544 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(966(a,1),1540(a,1,2)),flip(a)]. 1545 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [para(1540(a,2),1140(a,1))]. 1546 ((x * y) / x) * ((y * (((x * y) / x) \ 1)) / y) = K(y,1 / ((x * y) / x)). [para(1153(a,1),1540(a,1,2)),flip(a)]. 1547 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1540(a,2),1481(a,1,2))]. 1548 x * K(y,(y / (x \ 1)) / y) = (y * x) / y. [para(1545(a,2),14(a,1,2))]. 1549 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(802(a,1),1545(a,2,2,1))]. 1550 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(881(a,1),1545(a,2,2,1))]. 1551 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(59(a,1),1547(a,1,2,2,1)),flip(a)]. 1552 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(103(a,2),1551(a,1,2))]. 1553 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(15(a,1),1552(a,2,2,2))]. 1554 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1553(a,1),799(a,1,2,1)),flip(a)]. 1555 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(309(a,2),1542(a,1,2,1))]. 1556 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1553(a,1),1554(a,1,1)),flip(a)]. 1557 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [para(12(a,1),1556(a,1,2)),flip(a)]. 1558 (x * K(x,y)) * (x \ 1) = K(x,y). [para(1557(a,2),13(a,1))]. 1559 K(x,y) / (x \ 1) = x * K(x,y). [hyper(78,a,1558,a)]. 1560 T(x * K(x,y),x \ 1) = (x \ 1) \ K(x,y). [para(1558(a,1),32(a,2,2))]. 1561 (x * ((y * (x \ 1)) / y)) / (y \ 1) = y * K(y,(y / x) / y). [para(1540(a,1),1559(a,1,1))]. 1562 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [para(1561(a,2),1547(a,1))]. 1563 (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). [para(881(a,1),1562(a,1,1,2,1))]. 1564 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(15(a,1),1532(a,1,1,2,1,2)),flip(a)]. 1565 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [para(1532(a,2),749(a,1))]. 1566 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(11(a,1),1533(a,1,2,1,2))]. 1567 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1533(a,1,2,1)),flip(a)]. 1568 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [para(1533(a,1),748(a,1)),flip(a)]. 1569 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [para(1533(a,1),1510(a,1,2)),flip(a)]. 1570 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1567(a,1,1,2,1))]. 1571 (x * y) / R(y,z,u) = (x / R(y,z,u)) * y. [hyper(468,a,1570,a)]. 1572 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(293,a,1570,a),flip(a)]. 1573 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(71,a,1570,a)]. 1574 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(18,a,246,a,b,1570,a)]. 1575 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(18,a,202,a,b,1570,a),flip(a)]. 1576 ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. [para(16(a,1),1570(a,1,1)),flip(a)]. 1577 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [para(1574(a,1),32(a,2,2)),flip(a)]. 1578 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1574(a,1),150(a,2)),flip(a)]. 1579 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1574(a,1),97(a,2,1))]. 1580 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [para(1574(a,1),455(a,2))]. 1581 ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. [para(16(a,1),1573(a,1,2,1))]. 1582 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1573(a,1),1024(a,1,1)),flip(a)]. 1583 T(1 * x,y) / R(x,z,u) = (1 / R(x,z,u)) * T(x,y). [para(1576(a,1),699(a,1,1,1))]. 1584 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1582(a,1),162(a,1,2)),flip(a)]. 1585 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1582(a,1),456(a,1,2))]. 1586 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). [para(1582(a,1),635(a,1)),flip(a)]. 1587 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [para(1580(a,1),451(a,1)),flip(a)]. 1589 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1577(a,1),498(a,1,1,2))]. 1590 (1 / R(x,y,z)) * T(x,u) = T(x,u) / R(x,y,z). [para(11(a,1),1583(a,1,1,1)),flip(a)]. 1591 T(x,y) \ (T(x,y) / R(x,z,u)) = T(1 / R(x,z,u),T(x,y)). [para(1590(a,1),32(a,2,2)),flip(a)]. 1592 (x * R(x \ 1,y,z)) * x = x * (x * R(x \ 1,y,z)). [para(1566(a,1),617(a,1))]. 1593 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [para(1566(a,1),747(a,1)),flip(a)]. 1594 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [para(1566(a,1),748(a,1)),flip(a)]. 1595 T(x,x * R(x \ 1,y,z)) = x. [hyper(150,a,1592,a)]. 1596 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [hyper(150,a,1592,a(flip))]. 1597 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(61(a,1),1595(a,1,2,2,1))]. 1598 T(x,(y / (x * y)) * x) = x. [para(466(a,2),1595(a,1,2))]. 1599 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(454(a,1),1595(a,1,2))]. 1600 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(879(a,1),1595(a,1,2))]. 1601 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1598(a,1),867(a,1,1,1)),flip(a)]. 1602 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1600(a,1),38(a,1,1)),flip(a)]. 1603 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1597(a,1),505(a,1,1,2))]. 1604 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1599(a,1),557(a,1,1))]. 1605 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1596(a,1),1047(a,2,2,1))]. 1606 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. [para(1586(a,2),111(a,1))]. 1607 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [para(1534(a,1),787(a,1))]. 1608 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1176(a,1),1607(a,1,1)),flip(a)]. 1609 (x * L(x \ (y * z),u,w)) / z = (x / z) * L((x / z) \ y,u,w). [hyper(78,a,1538,a)]. 1610 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [para(1564(a,1),620(a,1))]. 1611 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [para(1564(a,1),749(a,1)),flip(a)]. 1612 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y * L(y \ (z / x),u,w),x). [para(1565(a,1),32(a,2,2)),flip(a)]. 1613 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(150,a,1568,a),flip(a)]. 1614 R(x,y,z) * (z * R(z \ (y * z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. [para(128(a,1),1568(a,1,2,2,1,2))]. 1615 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(32(a,2),1613(a,1,2,1,2)),flip(a)]. 1616 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(71,a,1615,a(flip))]. 1617 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [para(1615(a,2),459(a,1,1))]. 1618 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(13(a,1),1617(a,1,1,1,2,1)),flip(a)]. 1619 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(460(a,1),1601(a,1,2))]. 1620 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [para(11(a,1),1609(a,1,1,2,1,2)),flip(a)]. 1621 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [para(16(a,1),1609(a,1,1,2,1,2)),flip(a)]. 1622 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(30(a,2),1620(a,1,1)),flip(a)]. 1623 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(150,a,1611,a),flip(a)]. 1624 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(32(a,2),1623(a,1,2,1,2)),flip(a)]. 1625 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(71,a,1624,a(flip))]. 1626 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(13(a,1),1625(a,1,2,1,2,1)),flip(a)]. 1627 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1043(a,1),1626(a,1,1)),flip(a)]. 1628 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [para(1627(a,1),1046(a,1))]. 1629 (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). [para(956(a,2),1621(a,1,2,1)),flip(a)]. 1630 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [para(434(a,1),1629(a,1,1)),flip(a)]. 1631 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(15(a,1),1630(a,1,1)),flip(a)]. 1632 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1631(a,1),111(a,1,1))]. 1633 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [para(1632(a,2),1071(a,1))]. 1634 L(x,y,T(z,z \ u)) = L(x,y,(z \ u) \ u). [para(472(a,1),471(a,1)),flip(a)]. 1635 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(T(y,K(x \ 1,x)),x \ 1,x). [para(167(a,2),671(a,2,1,2))]. 1636 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(613(a,1),680(a,1,1))]. 1637 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(358(a,1),860(a,1,2))]. 1638 T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(42(a,2),1637(a,1,1,1))]. 1639 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(408(a,1),1638(a,1,1))]. 1640 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1639(a,1),38(a,1,1)),flip(a)]. 1641 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(685(a,1),1640(a,1,1))]. 1642 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(16(a,1),1641(a,1,1)),flip(a)]. 1643 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(420(a,1),1642(a,2,2))]. 1644 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(16(a,1),1643(a,1,1))]. 1645 T(x,x * (y \ 1)) = T(x,y \ x). [para(111(a,1),1644(a,1,2)),flip(a)]. 1646 T(x,(1 / y) \ x) = T(x,x * y). [para(61(a,1),1645(a,1,2,2)),flip(a)]. 1647 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(791,a,1261,a(flip))]. 1648 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(168(a,1),1316(a,1,1))]. 1649 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1269(a,1),1648(a,1,1))]. 1650 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(380(a,1),1495(a,2,2))]. 1651 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(11(a,1),1650(a,2,2,1))]. 1652 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1398(a,1),1651(a,1,1))]. 1653 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [para(1652(a,1),16(a,1))]. 1654 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [para(1653(a,1),1483(a,2))]. 1655 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1398(a,2),1654(a,1,2))]. 1656 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(957(a,1),844(a,1,2,1))]. 1657 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(1656(a,1),14(a,1,2))]. 1658 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [para(1657(a,1),1084(a,1))]. 1659 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1603(a,1),887(a,1,1))]. 1660 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [para(1659(a,1),164(a,1)),flip(a)]. 1661 ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ (x * ((y \ x) \ z)). [para(14(a,1),1006(a,1,2,1)),flip(a)]. 1663 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [para(1017(a,1),1534(a,1))]. 1664 x * (T(y,x) * T(T(y,x) \ y,z)) = (y * x) * T(K(x,y),z). [para(26(a,2),1023(a,1,2,1)),flip(a)]. 1665 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(829(a,1),1664(a,1,2))]. 1666 K(x \ 1,x * L(x \ 1,y,z)) = (x \ 1) * T(x,L(x \ 1,y,z)). [para(774(a,1),1080(a,1,2))]. 1667 K(x \ 1,x * L(x \ 1,x,y / x)) = (x \ 1) * T(x,y \ (y / x)). [para(276(a,1),1666(a,2,2,2))]. 1668 K(x \ 1,x * (y \ (y / x))) = (x \ 1) * T(x,y \ (y / x)). [para(276(a,1),1667(a,1,2,2))]. 1669 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(26(a,2),1088(a,1,2,1)),flip(a)]. 1670 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(703(a,1),1669(a,1,2))]. 1671 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(71,a,1670,a)]. 1672 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1355(a,1),1093(a,2,2,2))]. 1673 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1284(a,1),1288(a,2,1))]. 1674 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(71,a,1673,a)]. 1675 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(1 / (x \ 1),y,z). [para(59(a,1),1381(a,1,1,1))]. 1676 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [para(59(a,1),1675(a,2,2,1))]. 1677 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [para(110(a,1),1676(a,1,2))]. 1678 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1286(a,1),1390(a,1,2))]. 1679 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1286(a,1),1678(a,2,1,2))]. 1680 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1264(a,1),1679(a,2,1))]. 1682 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(109(a,1),1396(a,1,2)),flip(a)]. 1683 (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). [para(933(a,2),1396(a,1,2)),flip(a)]. 1684 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [para(1682(a,1),1038(a,2))]. 1685 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(63(a,1),1684(a,1,1))]. 1686 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(13(a,1),1685(a,2,2,1,2)),flip(a)]. 1687 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(13(a,1),1686(a,1,2,1)),flip(a)]. 1688 T(((x / y) \ 1) * x,x / y) = ((x / y) \ 1) * (y * (x / y)). [para(61(a,1),1686(a,1,2,1)),flip(a)]. 1689 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(88(a,1),1686(a,1,2,1)),flip(a)]. 1690 ((x \ y) * x) / T((x \ 1) * y,x) = R(x,x \ 1,(x \ y) * x). [para(1686(a,1),140(a,2,2)),flip(a)]. 1691 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(1686(a,1),321(a,1,2))]. 1692 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(1687(a,1),109(a,1,2)),flip(a)]. 1693 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [para(1692(a,2),168(a,1))]. 1694 L(x * y,y \ 1,y) / y = (y \ 1) * (y * x). [hyper(78,a,1693,a)]. 1695 L(R(x,1 / y,y),y \ 1,y) / y = (y \ 1) * (y * (x * (1 / y))). [para(172(a,1),1694(a,1,1,1))]. 1696 (x \ 1) * (x * (y * (1 / x))) = L(y,x \ 1,x) * (1 / x). [para(1695(a,1),427(a,1))]. 1697 (x \ 1) * (x * (y * (1 / x))) != z * (1 / x) | L(y,x \ 1,x) = z. [para(1696(a,2),20(a,1))]. 1698 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(71,a,1410,a)]. 1699 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(12(a,1),1410(a,2,2,1,2,2))]. 1700 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [hyper(71,a,1699,a),flip(a)]. 1701 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1540(a,2),1699(a,1,2))]. 1702 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(32(a,2),1701(a,1,2,2,1,2)),flip(a)]. 1703 (x * ((y * (x \ 1)) / y)) * z = z * K(y,(y / T(x,z)) / y). [para(1702(a,1),1534(a,1)),flip(a)]. 1704 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(150,a,1703,a(flip))]. 1705 K(x,(x / T(x,y)) / x) = T(x * (1 / x),y). [para(14(a,1),1704(a,1,1,2,1)),flip(a)]. 1706 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [para(1704(a,2),1540(a,1)),flip(a)]. 1707 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(1541(a,1),1704(a,1,1)),flip(a)]. 1708 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(1705(a,1),1540(a,1)),flip(a)]. 1709 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(1350(a,1),1707(a,1,2,1,2)),flip(a)]. 1710 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(802(a,1),1708(a,1,2,1))]. 1712 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1235(a,2),1710(a,2,1))]. 1713 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(1712(a,1),1655(a,1,2))]. 1714 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(59(a,1),1709(a,2,2,1))]. 1715 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(15(a,1),1714(a,1,1,2))]. 1716 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(15(a,1),1715(a,1,2,1))]. 1717 T(K(x,y),K(y,z)) = K(x,y). [para(15(a,1),1716(a,2,2))]. 1718 K(K(x,y),K(y,z)) = 1. [hyper(36,a,1717,a)]. 1719 T(K(x,y),K(z,x)) = K(x,y). [hyper(35,a,1717,a)]. 1720 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(1717(a,1),109(a,1,2))]. 1721 T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). [para(1717(a,1),160(a,1,2,1)),flip(a)]. 1722 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(1717(a,1),161(a,1,2,1)),flip(a)]. 1723 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(1717(a,1),162(a,1,2,1)),flip(a)]. 1724 R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). [para(1719(a,1),162(a,1,2,1)),flip(a)]. 1725 K(x,y) \ (L(z,K(u,x),K(x,y)) * (K(u,x) * K(x,y))) = K(u,x) * T(z,K(x,y) * K(u,x)). [para(1720(a,1),443(a,1,2,2))]. 1726 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(309(a,2),1706(a,2,1,2,1)),flip(a)]. 1727 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1178(a,1),1449(a,1,2)),flip(a)]. 1728 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(899(a,1),1727(a,1,1)),flip(a)]. 1729 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1234(a,1),1458(a,2,1))]. 1730 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(71,a,1729,a)]. 1731 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [para(1730(a,1),1262(a,2))]. 1732 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(403(a,1),1459(a,1,2,2)),flip(a)]. 1733 R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). [para(14(a,1),1498(a,1,2,1)),flip(a)]. 1734 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(831(a,1),1544(a,1,2,1))]. 1735 ((x * y) / x) * ((((x * y) / x) \ y) / y) = K(y,1 / ((x * y) / x)). [para(1139(a,1),1546(a,1,2,1))]. 1736 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1566(a,1),1593(a,1,2)),flip(a)]. 1737 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(879(a,1),1736(a,1,1)),flip(a)]. 1738 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(459(a,1),1605(a,2,2))]. 1739 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(459(a,1),1738(a,1,1,2))]. 1740 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(143(a,1),1739(a,1,1,2))]. 1741 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(143(a,1),1740(a,2,2))]. 1742 T(x,x * (y / (x * y))) = x. [hyper(35,a,1741,a)]. 1743 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [para(1741(a,1),1619(a,2))]. 1744 T(x / y,(x / y) * (y / x)) = x / y. [para(16(a,1),1742(a,1,2,2,2))]. 1745 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1744(a,1),163(a,1,1)),flip(a)]. 1746 T(x \ y,(y / x) * (x / y)) = x \ y. [para(1745(a,2),111(a,1))]. 1747 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1746(a,1),1112(a,2,1,2))]. 1748 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(620(a,1),1610(a,1,1))]. 1749 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(18,a,202,a,b,1748,a),flip(a)]. 1750 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(282(a,1),1748(a,1,1,2,2)),flip(a)]. 1751 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(282(a,1),1750(a,1,2,2)),flip(a)]. 1752 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1235(a,2),1751(a,1,1,2))]. 1753 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1235(a,2),1752(a,2,2))]. 1754 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(71,a,1753,a)]. 1755 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(18,a,202,a,b,1753,a),flip(a)]. 1756 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1754(a,1),1024(a,1,1)),flip(a)]. 1757 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(1755(a,1),111(a,1,1))]. 1758 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [para(1672(a,2),184(a,1))]. 1760 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1758(a,1),708(a,1,1)),flip(a)]. 1761 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [para(1760(a,1),1420(a,1)),flip(a)]. 1762 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(13(a,1),1761(a,1,1,2))]. 1763 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [para(1761(a,1),142(a,2))]. 1764 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(13(a,1),1763(a,1,3))]. 1765 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1763(a,1),1535(a,1,2)),flip(a)]. 1766 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(13(a,1),1762(a,2,2))]. 1767 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(1766(a,1),14(a,1,2))]. 1768 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(1766(a,1),59(a,1,2))]. 1769 L(x \ 1,x,(y * x) \ y) = 1 / x. [para(1766(a,1),142(a,2))]. 1770 L(x \ 1,x,y \ (y / x)) = 1 / x. [para(16(a,1),1769(a,1,3,1))]. 1771 L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). [para(1769(a,1),279(a,1,1)),flip(a)]. 1772 (x \ (x / y)) / (1 / y) = (x \ (x / y)) * y. [para(1770(a,1),280(a,1,2))]. 1773 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(142(a,2),1767(a,1,1,1)),flip(a)]. 1774 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1768(a,1),727(a,2,1,1,2)),flip(a)]. 1775 T(1 / T(x,y),x) / (1 / T(x,y)) = (x \ (x / T(x,y))) * T(x,y). [para(949(a,2),1772(a,1,1))]. 1776 (L(x \ 1,x,y) * x) * (1 / x) = L(x \ 1,x,y). [para(1773(a,1),142(a,2)),flip(a)]. 1777 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(78,a,1776,a)]. 1778 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [para(1764(a,1),142(a,1)),flip(a)]. 1779 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [para(1765(a,2),1235(a,2)),flip(a)]. 1780 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(1779(a,1),14(a,1,2)),flip(a)]. 1781 T(1 / T(x,y),x) / (1 / T(x,y)) = T(K(x \ 1,x),y). [para(1775(a,2),1345(a,1))]. 1782 K(x \ (x / (1 / (1 / T(x,y)))),x) = T(K(x \ 1,x),y). [para(1781(a,1),721(a,2))]. 1783 T(K(x \ 1,x),y) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(1782(a,1),965(a,1,1))]. 1785 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. [para(57(a,1),1683(a,1,1,2,1,2)),flip(a)]. 1786 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(12(a,1),1785(a,2,1,2,1))]. 1788 (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. [hyper(17,a,187,a(flip),b,1786,a)]. 1789 (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). [para(14(a,1),1698(a,1,2,2,1,2,2)),flip(a)]. 1790 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(14(a,1),1747(a,2,1))]. 1791 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [para(1790(a,2),57(a,1))]. 1793 T(1 / (x / y),(y / x) * (x / y)) = 1 / (x / y). [para(1791(a,1),708(a,1,1)),flip(a)]. 1794 K(1 / (x / y),(y / x) * (x / y)) = 1. [hyper(36,a,1793,a)]. 1795 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(1793(a,1),1416(a,1)),flip(a)]. 1796 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(15(a,1),1794(a,1,1,2))]. 1797 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(1795(a,1),14(a,1,2))]. 1798 K(1 / x,(y / (x * y)) * x) = 1. [para(15(a,1),1796(a,1,2,2))]. 1799 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(37,a,1798,a)]. 1800 L(x \ 1,x,y / (x * y)) = 1 / x. [para(1799(a,1),1499(a,1)),flip(a)]. 1801 L(x \ 1,x,(x \ y) / y) = 1 / x. [para(14(a,1),1800(a,1,3,2))]. 1802 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(143(a,2),1800(a,1,3))]. 1803 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(1800(a,1),274(a,1,2))]. 1805 (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. [para(1801(a,1),274(a,1,2))]. 1806 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1802(a,1),280(a,1,2))]. 1807 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(18,a,205,a(flip),b,1797,a)]. 1808 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(1803(a,1),1432(a,1,2))]. 1809 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(1808(a,1),14(a,1,2)),flip(a)]. 1811 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1578,a,1806,a)]. 1812 T(x,R(1 / x,x,y)) = T(x,x \ 1). [para(1811(a,1),1225(a,1,1)),flip(a)]. 1813 T(x,y / (x * y)) = T(x,x \ 1). [para(143(a,1),1812(a,1,2))]. 1814 T(x,y / (x * y)) = (x \ 1) \ 1. [para(1813(a,2),110(a,1))]. 1815 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(1813(a,1),1110(a,2,1))]. 1816 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(16(a,1),1814(a,1,2,2))]. 1817 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(1816(a,1),308(a,1,1))]. 1818 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(15(a,1),1807(a,1,1)),flip(a)]. 1819 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(1818(a,1),728(a,1,1,2))]. 1820 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(1031,a,1817,a)]. 1821 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [para(13(a,1),1819(a,1,1)),flip(a)]. 1823 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [para(1821(a,1),16(a,1,1))]. 1825 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(337(a,1),591(a,1,1)),flip(a)]. 1826 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [para(726(a,1),1199(a,1)),flip(a)]. 1827 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1826(a,1),486(a,1,1))]. 1829 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [para(1827(a,1),164(a,1))]. 1830 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1829(a,1),1542(a,1,2))]. 1831 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(275(a,1),905(a,1,2,2))]. 1832 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [para(1831(a,1),14(a,1,2))]. 1833 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(1832(a,1),594(a,1,2,1))]. 1834 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(1832(a,1),1540(a,2,2,1)),flip(a)]. 1835 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [para(959(a,2),336(a,1))]. 1836 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1835(a,1),1137(a,1,1)),flip(a)]. 1837 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ 1 = y \ ((y * (x * T(x \ 1,y))) \ y). [para(1835(a,1),1141(a,1,2,1)),flip(a)]. 1838 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1835(a,1),1151(a,1,2)),flip(a)]. 1839 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(1492(a,2),1489(a,1))]. 1840 a(x,y,z) = L(L(z,y,x) \ z,(x * y) \ (x * (y * z)),x * y). [para(28(a,2),532(a,2,1,1))]. 1841 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(109(a,1),629(a,1,2,1,1)),flip(a)]. 1842 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * R(y \ 1,z,u)) * x. [para(1841(a,2),1566(a,1))]. 1843 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(150,a,1842,a),flip(a)]. 1844 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [para(1843(a,1),466(a,2)),flip(a)]. 1845 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). [para(1357(a,1),1843(a,1,2,1,1)),flip(a)]. 1846 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(693(a,1),1844(a,2,1,2))]. 1847 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1201(a,1),1846(a,1,1,2)),flip(a)]. 1848 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(18,a,1339,a(flip),b,1847,a)]. 1849 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1848(a,1),111(a,1,1))]. 1850 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [para(1849(a,1),1388(a,1))]. 1851 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(523(a,1),1850(a,1,1))]. 1853 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(1850(a,1),1788(a,1,2,2))]. 1854 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(71,a,1853,a),flip(a)]. 1855 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(61(a,1),1851(a,1,2))]. 1856 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(1855(a,1),59(a,1,2))]. 1857 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(703(a,2),1855(a,1,1))]. 1858 L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. [para(118(a,1),767(a,1,1,1,1)),flip(a)]. 1859 (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. [para(1858(a,1),441(a,1)),flip(a)]. 1860 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(61(a,1),1859(a,1,2,1,1))]. 1861 (1 / T(x,y)) * T(T(x,z),u) = T(T(x,z),u) / T(x,y). [para(16(a,1),967(a,1,1,1)),flip(a)]. 1863 T(T(x,y),z) / T(x,x \ 1) = (x \ 1) * T(T(x,y),z). [para(176(a,1),1861(a,1,1)),flip(a)]. 1864 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [para(1863(a,2),160(a,1))]. 1865 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [para(1864(a,2),693(a,1))]. 1866 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(14(a,1),997(a,1,2,1)),flip(a)]. 1867 T(x,y) \ (R(x,z,u) \ T(x,y)) = R(x,z,u) \ 1. [hyper(71,a,1866,a)]. 1868 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(111(a,1),1866(a,1,1)),flip(a)]. 1869 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(111(a,1),1868(a,1,2)),flip(a)]. 1870 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(13(a,1),1869(a,1,1)),flip(a)]. 1871 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(13(a,1),1870(a,1,2)),flip(a)]. 1872 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(318(a,1),1142(a,1,1)),flip(a)]. 1873 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(32(a,2),1364(a,1,2,1,1)),flip(a)]. 1874 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(624(a,1),1873(a,1,2))]. 1875 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [para(1874(a,1),1395(a,1))]. 1876 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(13(a,1),1875(a,1,2,1,2)),flip(a)]. 1877 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [para(15(a,1),1876(a,1,1,2,1,2)),flip(a)]. 1878 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(145(a,1),1876(a,1,1,2,1,2)),flip(a)]. 1879 a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). [para(14(a,1),1409(a,1,2,2)),flip(a)]. 1880 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(14(a,1),1879(a,1,3,2)),flip(a)]. 1882 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(12(a,1),1411(a,1,2,1,2)),flip(a)]. 1883 x * (T(y,x) * L(T(y,x) \ z,u,w)) = y * (x * L(x \ (y \ (x * z)),u,w)). [para(1411(a,1),749(a,1))]. 1884 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * L(y \ 1,z,u)) * x. [para(1882(a,2),1178(a,1))]. 1885 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(150,a,1884,a),flip(a)]. 1886 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(71,a,1885,a)]. 1887 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(1885(a,1),19(a,1))]. 1888 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(142(a,1),1885(a,1,2)),flip(a)]. 1889 L(L(T(x,y) \ 1,z,u),T(x,y),1 / T(x,y)) = (1 / T(x,y)) * T(x * L(x \ 1,z,u),y). [para(1885(a,1),171(a,1,2)),flip(a)]. 1890 T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). [para(535(a,1),1885(a,2,1,2))]. 1891 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(275(a,1),1886(a,1,2,1,2))]. 1892 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [para(109(a,1),1888(a,2,2,1))]. 1893 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(720(a,1),1888(a,2,2,1))]. 1894 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). [para(813(a,1),1890(a,1,2))]. 1895 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(132(a,1),1894(a,2,1,2))]. 1896 (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(17,a,1710,a,b,1895,a)]. 1897 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). [para(1235(a,2),1895(a,2,1))]. 1898 (T(x,y) \ x) \ ((T(x,y) \ x) / x) = T(1 / x,T(x,y) \ x). [para(1896(a,1),32(a,2,2)),flip(a)]. 1899 T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). [para(1896(a,1),814(a,1,1))]. 1900 T(x,y) \ T(K(x,x \ 1),y) = (1 / x) * (T(x,y) \ x). [hyper(71,a,1897,a)]. 1901 (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). [para(1899(a,1),111(a,1))]. 1902 (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. [para(1901(a,2),810(a,1))]. 1903 (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(1898(a,1),733(a,2,2,1)),flip(a)]. 1904 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1830(a,1),1893(a,1,1)),flip(a)]. 1905 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [para(1569(a,2),32(a,2)),flip(a)]. 1906 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(454(a,1),1569(a,2,2,1))]. 1907 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1905(a,1,1))]. 1908 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1907(a,1,2,1,1))]. 1909 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(13(a,1),1908(a,2,1,2,1))]. 1910 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1176(a,1),1608(a,1,2)),flip(a)]. 1911 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(78,a,1910,a)]. 1912 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(1911(a,1),610(a,1,1))]. 1913 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [para(1912(a,1),200(a,1))]. 1914 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(1913(a,1),486(a,1,1))]. 1915 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [para(1914(a,1),111(a,1))]. 1916 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(1915(a,2),26(a,2))]. 1917 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(26(a,2),1916(a,2,1,2)),flip(a)]. 1918 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(1917(a,1),16(a,1,1))]. 1919 (K(x,y) * (1 / y)) / K(x,y) = 1 / y. [para(1917(a,1),65(a,1,1,1))]. 1920 T(1 / x,K(y,x)) = 1 / x. [hyper(150,a,1918,a)]. 1921 K(1 / x,K(y,x)) = 1. [hyper(36,a,1920,a)]. 1922 L(1 / x,y,z) * K(u,x) = K(u,x) * L(1 / x,y,z). [para(1920(a,1),161(a,1,2,1)),flip(a)]. 1923 K(x,K(y,x \ 1)) = 1. [para(59(a,1),1921(a,1,1))]. 1924 T(x,K(y,x \ 1)) = x. [hyper(37,a,1923,a)]. 1925 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(1924(a,1),161(a,1,2,1)),flip(a)]. 1926 R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). [para(1919(a,1),582(a,1,1,1))]. 1927 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1922(a,2),1293(a,1))]. 1928 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [para(1925(a,1),1246(a,1))]. 1929 T(K(x,y),R(1 / y,z,u)) = K(x,y). [para(1926(a,1),32(a,2))]. 1930 T(K(x,y),z / (y * z)) = K(x,y). [para(143(a,1),1929(a,1,2))]. 1931 T(K(x,y),y \ 1) = K(x,y). [para(413(a,1),1929(a,1,2))]. 1932 T(x \ 1,K(y,x)) = x \ 1. [hyper(35,a,1931,a)]. 1933 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(1932(a,1),277(a,2,1))]. 1934 K(x,y) * (z / (y * z)) = (z / (y * z)) * K(x,y). [para(1930(a,1),109(a,1,2)),flip(a)]. 1935 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(14(a,1),1933(a,1,1,1))]. 1936 (x / (y * x)) * K(x / (y * x),y) = R(y \ 1,y,x). [para(1934(a,1),1823(a,1))]. 1937 T(x \ y,K(z,y \ x)) = x \ y. [para(1935(a,2),275(a,1))]. 1938 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(1937(a,1),109(a,1,2))]. 1941 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(1456,a,1928,a)]. 1942 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1941(a,2),1294(a,1))]. 1943 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(1927(a,1),1404(a,1,1))]. 1945 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(1943(a,1),1748(a,1)),flip(a)]. 1946 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(167(a,2),1945(a,1,1))]. 1947 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1534(a,1),1663(a,1,2)),flip(a)]. 1948 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1540(a,2),1947(a,1,1))]. 1949 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(13(a,1),1774(a,1,1,1))]. 1950 T(x,(y * x) \ y) / x = K(x,(y * x) \ y). [hyper(78,a,1949,a)]. 1951 x \ T(x,(y * x) \ y) = T(K(x,(y * x) \ y),x). [para(1949(a,1),32(a,2,2)),flip(a)]. 1953 T(K(x,(y * x) \ y),x) = x \ T(x,L(x \ 1,x,y)). [para(142(a,2),1951(a,1,2,2)),flip(a)]. 1954 x \ (y * (x * L(x \ (y \ (x * z)),u,w))) = T(y,x) * L(T(y,x) \ z,u,w). [hyper(71,a,1883,a)]. 1955 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [para(1954(a,1),1612(a,1)),flip(a)]. 1956 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [para(15(a,1),1955(a,1,1,2,1,2)),flip(a)]. 1957 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [para(636(a,1),609(a,1))]. 1958 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(16(a,1),1957(a,1,2,1,2,2)),flip(a)]. 1959 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(593(a,1),1957(a,2,1))]. 1960 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [para(16(a,1),1958(a,1,1)),flip(a)]. 1961 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [para(1960(a,1),845(a,1))]. 1962 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [para(1960(a,1),1018(a,1)),flip(a)]. 1963 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [para(1961(a,1),32(a,2,2)),flip(a)]. 1964 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(249(a,2),1962(a,2,1,2,1)),flip(a)]. 1965 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1534(a,1),1962(a,1,2)),flip(a)]. 1966 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [para(16(a,1),1959(a,1,1)),flip(a)]. 1967 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). [para(1959(a,1),787(a,1))]. 1968 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [para(1959(a,1),1018(a,1)),flip(a)]. 1969 (x \ (y * z)) * ((u * ((x \ (y * z)) \ z)) / u) = x \ ((y * ((u * (y \ x)) / u)) * z). [para(1959(a,1),1698(a,1,2)),flip(a)]. 1970 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(14(a,1),1968(a,1,2,2,1)),flip(a)]. 1971 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(97(a,2),1970(a,2,2,2,1))]. 1972 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [para(761(a,1),645(a,1))]. 1973 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(1972(a,1),616(a,1,2))]. 1974 ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). [para(780(a,1),297(a,1,2))]. 1975 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(780(a,1),1062(a,1)),flip(a)]. 1977 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [para(960(a,2),336(a,1))]. 1978 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(720(a,1),1977(a,2,2))]. 1979 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(1978(a,1),1138(a,1,1)),flip(a)]. 1980 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(958(a,1),1117(a,1,1))]. 1981 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(829(a,1),1980(a,1,1))]. 1982 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1116(a,1),1981(a,1,2))]. 1983 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1982(a,1),40(a,2))]. 1984 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1098(a,1),1983(a,1,1))]. 1985 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [para(1984(a,1),829(a,2))]. 1986 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(1984(a,1),1665(a,1,2))]. 1987 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1985(a,1),1120(a,1))]. 1988 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(518(a,1),1371(a,1,1)),flip(a)]. 1989 T(x / y,y * L(y \ x,z,u)) = L(y \ x,y,L(x / y,z,u)). [para(1507(a,1),573(a,1))]. 1990 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1055(a,1),1732(a,2,2))]. 1991 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(521(a,1),1975(a,1,2)),flip(a)]. 1992 T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. [para(1991(a,2),1279(a,1,2))]. 1993 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [para(1990(a,2),171(a,1))]. 1994 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(1282(a,1),1993(a,1,1)),flip(a)]. 1995 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(109(a,1),1994(a,1,1)),flip(a)]. 1996 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(167(a,2),753(a,1,2,1,1))]. 1997 T(x,x \ y) \ R(T(x,x \ y),z,u) = T(x,x \ y) \ R((x \ y) \ y,z,u). [para(888(a,2),881(a,1)),flip(a)]. 1998 T(x,x \ y) \ R(T(x,x \ y),z,u) = ((x \ y) \ y) \ R((x \ y) \ y,z,u). [para(110(a,1),1997(a,2,1))]. 1999 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1235(a,2),1245(a,1,2,1,1))]. 2000 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). [para(721(a,2),1362(a,2,2,1))]. 2001 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(56(a,1),1372(a,1,1)),flip(a)]. 2002 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(109(a,1),2001(a,1,1))]. 2004 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(13(a,1),2002(a,1,1,1)),flip(a)]. 2005 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2002(a,1),20(a,1))]. 2006 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2004(a,2),20(a,1))]. 2007 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(32(a,2),1394(a,1,1,2,2,1,2)),flip(a)]. 2008 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(899(a,1),1728(a,1,2,1)),flip(a)]. 2009 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(17,a,188,a,b,2008,a)]. 2010 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2009(a,1),19(a,1))]. 2011 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(879(a,1),1737(a,1,2,1)),flip(a)]. 2012 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(17,a,188,a,b,2011,a)]. 2013 (x \ 1) \ ((x \ R(x,y,z)) \ (x \ 1)) = (x \ R(x,y,z)) \ 1. [hyper(71,a,2012,a)]. 2014 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1835(a,1),1836(a,1,2)),flip(a)]. 2015 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [para(2014(a,2),13(a,1))]. 2016 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(689(a,1),2015(a,1,1,2)),flip(a)]. 2017 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(702(a,2),2015(a,1,1,2)),flip(a)]. 2018 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [para(2016(a,1),689(a,1))]. 2019 (x * K(y,x)) * (x \ 1) = K(y,x). [para(2017(a,1),702(a,2)),flip(a)]. 2020 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(256,a,2019,a),flip(a)]. 2021 T(x * K(y,x),x \ 1) = (x \ 1) \ K(y,x). [para(2019(a,1),32(a,2,2))]. 2022 x \ ((x * (y * T(y \ 1,x))) \ x) = (x * (y * T(y \ 1,x))) \ 1. [para(1835(a,1),1837(a,1,1)),flip(a)]. 2023 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [para(1838(a,2),171(a,1))]. 2024 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1835(a,1),2023(a,1,1)),flip(a)]. 2025 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(702(a,2),2024(a,1,1)),flip(a)]. 2026 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(702(a,2),2025(a,1,1,2)),flip(a)]. 2027 (T(x,y) \ x) * T(x \ 1,T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(163(a,1),1903(a,1,2))]. 2028 ((T(x,y) \ x) / x) * K(x \ 1,x) = (x \ 1) * (T(x,y) \ x). [para(2027(a,1),109(a,1))]. 2029 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1282(a,1),1942(a,1,1))]. 2030 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(765(a,1),2029(a,1,2))]. 2031 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [para(2030(a,1),1946(a,1)),flip(a)]. 2032 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [para(2031(a,2),1777(a,1))]. 2033 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(18,a,1943,a,b,2032,a(flip)),flip(a)]. 2034 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [para(2033(a,2),142(a,1)),flip(a)]. 2035 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(142(a,1),2034(a,2,2,2)),flip(a)]. 2036 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(71,a,2035,a)]. 2037 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [para(2036(a,1),187(a,1,2))]. 2038 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2036(a,1),193(a,1,1))]. 2039 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(17,a,1974,a,b,2037,a(flip)),flip(a)]. 2040 K(x \ 1,x * (y \ (y / x))) = 1. [para(16(a,1),2039(a,1,2,2,1))]. 2041 T(1 / (1 / x),(y * x) \ y) / 1 = x. [para(2039(a,1),1992(a,1,2))]. 2043 (x \ 1) * T(x,y \ (y / x)) = 1. [para(2040(a,1),1668(a,1)),flip(a)]. 2044 T(x,y \ (y / x)) = (x \ 1) \ 1. [hyper(71,a,2043,a),flip(a)]. 2046 T(x,(y * x) \ y) = (x \ 1) \ 1. [para(15(a,1),2044(a,1,2,2))]. 2047 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(59(a,1),2044(a,1,2,2))]. 2048 T(x,(y * x) \ y) = T(x,x \ 1). [para(2046(a,2),110(a,2)),flip(a)]. 2049 T(x,L(x \ 1,x,y)) = (x \ 1) \ 1. [para(142(a,2),2046(a,1,2))]. 2050 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [para(2046(a,1),1950(a,1,1)),flip(a)]. 2051 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(87(a,1),2048(a,1,2,1))]. 2052 T(1 / (1 / x),(y * x) \ y) = x. [para(2041(a,1),58(a,1)),flip(a)]. 2054 T(1 / (1 / (x \ y)),y \ x) = x \ y. [para(14(a,1),2052(a,1,2,1))]. 2055 (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). [para(2052(a,1),145(a,1,1,2))]. 2056 1 / T(x \ y,y \ x) = (x \ y) \ 1. [para(2047(a,2),59(a,1,2))]. 2057 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(61(a,1),2047(a,1,2))]. 2058 (x \ y) * (((y \ x) \ 1) \ 1) = (y \ x) * (x \ y). [para(2047(a,1),109(a,1,2))]. 2059 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. [para(707(a,2),2047(a,1,1))]. 2060 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2047(a,1),1090(a,1,2)),flip(a)]. 2061 K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). [para(2047(a,2),1330(a,2,1,2,2)),flip(a)]. 2062 K(x,(y * x) \ y) = K(x,x \ 1). [para(2050(a,2),1232(a,1))]. 2064 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(14(a,1),2062(a,1,2,1)),flip(a)]. 2065 K(x,y \ (y / x)) = K(x,x \ 1). [para(16(a,1),2062(a,1,2,1))]. 2066 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(835(a,2),2062(a,1,2,1))]. 2067 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2062(a,2),1286(a,1,1))]. 2068 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [para(2065(a,1),481(a,2))]. 2069 T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). [para(707(a,2),2054(a,1,1,2,2))]. 2070 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(13(a,1),2056(a,1,2,2))]. 2071 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(13(a,1),2064(a,2,2))]. 2072 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [para(2064(a,1),1235(a,1)),flip(a)]. 2073 (x \ y) \ K(x \ y,y \ x) = 1 / (x \ y). [para(2064(a,1),1236(a,1,2))]. 2074 L(x,(y * x) \ y,x) = 1 / (1 / x). [para(2055(a,1),1358(a,1)),flip(a)]. 2075 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [para(14(a,1),2074(a,1,2,1))]. 2077 L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). [para(13(a,1),2075(a,1,2))]. 2078 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(2075(a,1),1363(a,1)),flip(a)]. 2079 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2075(a,1),1780(a,1,2)),flip(a)]. 2080 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(26(a,2),2051(a,1,2)),flip(a)]. 2081 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [para(2080(a,1),110(a,1))]. 2082 (K(x,y) \ 1) \ 1 = K(x,y). [para(2081(a,1),1717(a,1))]. 2083 1 / (1 / K(x,y)) = K(x,y). [para(2082(a,1),125(a,1,2,2))]. 2086 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2064(a,1),2079(a,1,2))]. 2087 x \ (y * K(y \ x,x \ y)) = 1 / (1 / (x \ y)). [hyper(71,a,2086,a(flip))]. 2088 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2068(a,1),2086(a,1,2))]. 2089 x \ ((x / y) * K(y,y \ 1)) = 1 / (1 / (x \ (x / y))). [para(2068(a,1),2087(a,1,2,2))]. 2090 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(2077(a,1),1771(a,1)),flip(a)]. 2091 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(59(a,1),2090(a,1,1))]. 2093 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(957(a,1),2066(a,1,2))]. 2094 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [para(2093(a,2),2064(a,1))]. 2095 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(358(a,1),2038(a,2,1))]. 2096 T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). [para(2061(a,1),1329(a,1))]. 2097 T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). [para(13(a,1),2096(a,1,1,1)),flip(a)]. 2098 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). [para(2083(a,1),2069(a,1,1))]. 2099 ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). [para(2098(a,1),2059(a,1)),flip(a)]. 2100 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(2099(a,1),59(a,1,2))]. 2101 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). [para(13(a,1),2097(a,1,1,1)),flip(a)]. 2102 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). [para(13(a,1),2101(a,2,2))]. 2104 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(16(a,1),1966(a,2,2,1,2,1))]. 2105 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(78,a,2104,a)]. 2106 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(11(a,1),2105(a,1,1,2,1,2,2)),flip(a)]. 2107 ((x * y) * L((x \ (z * u)) / y,y,x)) / u = ((x * y) / u) * ((y * (((x * y) / u) \ z)) / y). [para(587(a,2),2105(a,1,1,2))]. 2108 ((x * y) * ((y * ((x * y) \ x)) / y)) / x = ((x * y) / x) * ((((x * y) / x) \ y) / y). [para(1139(a,1),2106(a,1,2,1)),flip(a)]. 2109 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [para(1969(a,2),32(a,2)),flip(a)]. 2110 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(32(a,2),2109(a,1,1))]. 2111 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(32(a,2),2110(a,1,2,1,2,1))]. 2112 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(1978(a,1),1979(a,1,2,1)),flip(a)]. 2113 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [para(1995(a,1),161(a,1))]. 2114 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. [para(1996(a,2),1396(a,1))]. 2115 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(698(a,1),1999(a,2,2))]. 2116 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [para(2115(a,2),1042(a,1))]. 2117 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(13(a,1),2116(a,1,2,1)),flip(a)]. 2118 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [para(2116(a,1),305(a,1))]. 2119 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2117(a,2),1457(a,1,2))]. 2120 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(111(a,1),2118(a,2,1))]. 2121 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [para(2119(a,1),109(a,1)),flip(a)]. 2122 L(x,y,K(x,x \ 1)) = x. [hyper(329,a,2121,a)]. 2123 K(x,x \ 1) * y != (K(x,x \ 1) * z) * x | z * x = y. [para(2121(a,2),19(a,1)),flip(a)]. 2124 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1282(a,1),2122(a,1,3))]. 2125 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2124(a,1),40(a,2,1))]. 2126 T((x / y) * K(y,y \ 1),y) != z * K(y,y \ 1) | y \ x = z. [para(2120(a,2),20(a,1))]. 2127 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [para(2120(a,1),1757(a,1)),flip(a)]. 2128 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2127(a,1),14(a,1,2))]. 2129 x \ (y * K(x,x \ 1)) != z * K(x,x \ 1) | x \ y = z. [para(2127(a,2),20(a,1))]. 2130 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(61(a,1),2127(a,1,2,2,2)),flip(a)]. 2131 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(17,a,1246,a(flip),b,2128,a)]. 2132 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(13(a,1),2128(a,1,2,1)),flip(a)]. 2133 R(x,y,K(x,x \ 1)) = x. [hyper(361,a,2132,a)]. 2134 (x * y) * K(x,x \ 1) != x * z | y * K(x,x \ 1) = z. [para(2132(a,2),19(a,1))]. 2135 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = ((1 / x) * y) * K(x \ 1,x). [para(1282(a,1),2132(a,1,2)),flip(a)]. 2136 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2133(a,1),42(a,2,1))]. 2137 T(x,y * K(x,x \ 1)) = T(x,y). [para(2136(a,1),1756(a,1))]. 2138 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [para(1809(a,2),2137(a,1,2)),flip(a)]. 2140 (x * R(x \ 1,x,y)) \ (T(x,y / (x * y)) * R(x \ 1,x,y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2138(a,1),155(a,1,2,1))]. 2141 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(403(a,1),2130(a,1,1)),flip(a)]. 2142 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(1896(a,1),2135(a,2,1))]. 2143 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(1283(a,1),2141(a,1,2,2))]. 2144 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2113(a,2),2143(a,1,2))]. 2145 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [para(2144(a,1),403(a,1))]. 2146 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(1282(a,1),2145(a,1,2))]. 2147 R(x,y,K(x \ 1,x)) = x. [hyper(361,a,2146,a)]. 2148 x * ((T(x,y) \ 1) * K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). [para(802(a,1),2146(a,1,1)),flip(a)]. 2149 R(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2147(a,1),42(a,2,1))]. 2150 (T(x,y) \ 1) * K(x \ 1,x) = T(x,y) \ K(x \ 1,x). [para(2149(a,1),299(a,1,1)),flip(a)]. 2151 (T(x,y) \ x) * K(x \ 1,x) = x * (T(x,y) \ K(x \ 1,x)). [para(2150(a,1),2148(a,1,2)),flip(a)]. 2152 (T(x,y) \ x) * K(x \ 1,x) = T(x,y) \ (1 / (1 / x)). [para(2151(a,2),1265(a,1))]. 2153 ((x * y) / x) * ((((x * y) / x) \ y) / y) = ((x * y) * L(1 / y,y,x)) / x. [para(575(a,1),2108(a,1,1,2)),flip(a)]. 2154 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * (y * (1 / y))) / x. [para(95(a,1),2153(a,2,1))]. 2155 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * K(y,y \ 1)) / x. [para(1235(a,2),2154(a,2,1,2))]. 2156 K(x,1 / ((y * x) / y)) = (y * K(x,x \ 1)) / y. [para(2155(a,1),1735(a,1)),flip(a)]. 2157 (x * K(x \ y,(x \ y) \ 1)) / x = K(x \ y,1 / (y / x)). [para(14(a,1),2156(a,1,2,2,1)),flip(a)]. 2158 (x * K(x \ y,y \ x)) / x = K(x \ y,1 / (y / x)). [para(2064(a,1),2157(a,1,1,2))]. 2159 (x * (1 / (1 / (x \ y)))) / y = K(y \ x,1 / (x / y)). [para(2079(a,1),2157(a,1,1))]. 2160 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * (1 / (1 / K(x,(x / (y \ 1)) / x)))) / ((x * y) / x). [para(1545(a,2),2159(a,1,1,2,2,2)),flip(a)]. 2161 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [para(513(a,2),367(a,1))]. 2162 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [para(2161(a,1),623(a,1)),flip(a)]. 2163 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(109(a,1),2162(a,1,2)),flip(a)]. 2164 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [para(776(a,1),1503(a,1)),flip(a)]. 2165 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2164(a,1),593(a,1,1)),flip(a)]. 2167 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [para(2165(a,2),437(a,1))]. 2168 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [para(2167(a,1),1543(a,1))]. 2169 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [para(1089(a,1),623(a,1))]. 2170 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(518(a,1),2169(a,2,2))]. 2171 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(329,a,2170,a)]. 2172 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(57(a,1),2171(a,2,1,2))]. 2173 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(689(a,1),2171(a,1,1))]. 2174 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [para(2171(a,2),703(a,1)),flip(a)]. 2175 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(15(a,1),2173(a,2,1,2))]. 2176 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(517(a,1),2173(a,2,1,2))]. 2177 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(1951(a,1),2176(a,1,1))]. 2178 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1177(a,1),1113(a,2,1))]. 2179 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1182(a,1),2178(a,2,1,1))]. 2180 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [para(2179(a,2),30(a,2))]. 2181 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(57(a,1),2180(a,2,1,2))]. 2182 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [para(2180(a,2),703(a,1)),flip(a)]. 2183 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(885(a,1),2180(a,2,1,2))]. 2184 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [para(2182(a,1),109(a,1))]. 2186 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [para(740(a,2),702(a,2)),flip(a)]. 2187 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),((x * y) \ x) \ 1). [para(2186(a,1),111(a,1,1)),flip(a)]. 2188 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),y). [para(2187(a,2),2102(a,1))]. 2189 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(32(a,2),937(a,1,1))]. 2190 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2138(a,1),2189(a,2,2))]. 2191 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(622(a,1),1033(a,1,2)),flip(a)]. 2192 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2174(a,1),1327(a,1,1))]. 2193 T(L((x \ 1) * x,y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(109(a,1),2192(a,1,1,1))]. 2194 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(167(a,2),2193(a,1,1,1))]. 2195 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1063(a,1),2194(a,1,2))]. 2196 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [para(2195(a,1),40(a,2))]. 2197 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1067(a,1),2196(a,2,1))]. 2198 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(167(a,2),1446(a,1,2,1,1))]. 2199 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(167(a,2),1447(a,1,2,1,1))]. 2200 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1427(a,1),1589(a,1,1))]. 2201 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(88(a,1),1906(a,1,1))]. 2202 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(88(a,1),2201(a,1,2,1,1))]. 2203 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = (x \ 1) * (T(x,y) \ x). [para(2142(a,2),2028(a,1))]. 2204 (1 / x) * ((T(x,y) \ x) * K(x \ 1,x)) = (x \ 1) * (T(x,y) \ x). [para(1282(a,1),2203(a,1,2,2))]. 2205 (1 / x) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ x). [para(2152(a,1),2204(a,1,2))]. 2206 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [para(2198(a,2),1568(a,1))]. 2207 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [para(2199(a,2),1611(a,1))]. 2208 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(760(a,1),2206(a,2,1))]. 2209 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(764(a,1),2207(a,2,1))]. 2210 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [para(579(a,2),369(a,1))]. 2211 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [para(2210(a,1),747(a,1)),flip(a)]. 2212 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1195(a,1),2211(a,2,1,1))]. 2213 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [para(32(a,2),1614(a,1,2,2,1)),flip(a)]. 2214 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(162(a,1),2213(a,2,2))]. 2215 (1 / T(x,y)) * T(x * L(x \ 1,z,u),y) = T(L(1 / T(x,y),z,u),1). [para(1889(a,1),1509(a,1))]. 2216 (1 / T(x,y)) * T(x * L(x \ 1,z,u),y) = L(1 / T(x,y),z,u). [para(2215(a,2),132(a,1))]. 2217 ((x * y) / z) * ((y * (((x * y) / z) \ u)) / y) = (x * (y * ((x \ (u * z)) / y))) / z. [para(95(a,1),2107(a,1,1)),flip(a)]. 2218 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(13(a,1),1438(a,1,2,1)),flip(a)]. 2219 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [para(1529(a,2),1250(a,1))]. 2220 K(x,x \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [para(1528(a,1),2219(a,1,1))]. 2221 L(x \ y,x,K(x,x \ 1)) = K(x,x \ 1) * (((x \ 1) \ 1) \ y). [para(110(a,1),2220(a,1,2,1)),flip(a)]. 2222 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(2000(a,1),1362(a,1))]. 2223 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(1857(a,1),2222(a,1,2))]. 2224 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [para(2223(a,1),1872(a,1))]. 2225 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1352(a,1),2175(a,1,1,2)),flip(a)]. 2226 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(51(a,1),2225(a,2,1))]. 2228 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [para(2226(a,2),265(a,1))]. 2230 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2228(a,1),209(a,1,2)),flip(a)]. 2231 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(75,a,2230,a(flip)),flip(a)]. 2232 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2231(a,1),20(a,1)),flip(a)]. 2233 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1677(a,1),1550(a,1,2,1))]. 2234 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(15(a,1),2233(a,1,2)),flip(a)]. 2235 (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). [para(2234(a,1),14(a,1,2)),flip(a)]. 2237 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(1856(a,1),877(a,1,1,2))]. 2238 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(719(a,1),2237(a,1,1,2)),flip(a)]. 2239 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(723(a,1),2238(a,2,1))]. 2240 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(318(a,1),2239(a,1,1))]. 2241 x * ((T(x,y) \ z) * R((T(x,y) \ z) \ z,u,w)) = R(T(x,y),u,w) * (x * (T(x,y) \ z)). [para(1114(a,1),747(a,1)),flip(a)]. 2242 R(T(x,y),z,u) * (x * (T(x,y) \ w)) = x * (R(T(x,y),z,u) * (T(x,y) \ w)). [para(454(a,1),2241(a,1,2)),flip(a)]. 2243 T(x,y) * (x * (R(T(x,y),z,u) * (T(x,y) \ w))) = R(T(x,y),z,u) * (x * w). [para(2242(a,1),993(a,1,2))]. 2244 x * (T(x,y) * (R(T(x,y),z,u) * (T(x,y) \ w))) = R(T(x,y),z,u) * (x * w). [para(2243(a,1),798(a,1)),flip(a)]. 2245 R(T(x,y),z,u) * (x * w) = x * (R(T(x,y),z,u) * w). [para(991(a,1),2244(a,1,2)),flip(a)]. 2246 R(T(x,y),z,u) \ (x * w) = x * (R(T(x,y),z,u) \ w). [hyper(17,a,194,a,b,2245,a),flip(a)]. 2247 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(831(a,1),1726(a,2,2,1))]. 2248 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1555(a,1),2247(a,1,1)),flip(a)]. 2249 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [para(2248(a,1),1734(a,1)),flip(a)]. 2250 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [para(2249(a,1),1233(a,1)),flip(a)]. 2251 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [para(2250(a,2),1904(a,2))]. 2252 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(17,a,1235,a(flip),b,2251,a)]. 2253 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),T(x,y) \ 1). [para(2251(a,1),2224(a,1)),flip(a)]. 2254 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [para(2252(a,1),14(a,1,2))]. 2255 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(176(a,1),2252(a,1,2))]. 2256 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [para(2253(a,1),2240(a,1))]. 2257 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1865(a,1),2255(a,1,1))]. 2258 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [para(2257(a,1),1850(a,1))]. 2259 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(2258(a,1),61(a,1,1)),flip(a)]. 2260 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(221(a,1),2258(a,1,2,1))]. 2261 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(233(a,1),2258(a,1,2,1)),flip(a)]. 2262 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [para(110(a,1),2259(a,1,1)),flip(a)]. 2263 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(221(a,1),2259(a,1,1)),flip(a)]. 2264 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2261(a,1),59(a,1,2))]. 2265 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(111(a,1),2262(a,1,1,1)),flip(a)]. 2266 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(111(a,1),2264(a,1,2,2)),flip(a)]. 2267 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [para(2264(a,1),1264(a,2))]. 2268 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2264(a,1),1521(a,1,1,1,2))]. 2269 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(2265(a,1),109(a,1,2)),flip(a)]. 2270 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2265(a,1),145(a,1,1,2))]. 2271 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [para(2266(a,1),145(a,1,1,2))]. 2272 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(1031,a,2269,a)]. 2273 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(105(a,2),2269(a,1,1,1,1))]. 2274 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(13(a,1),2270(a,1,1,2,1,1))]. 2275 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2047(a,2),2270(a,1,1,2))]. 2276 (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). [para(13(a,1),2271(a,1,1,2,2,2))]. 2277 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(13(a,1),2272(a,2,1,1))]. 2278 T(x,((y * x) / y) \ 1) = T(x,x \ 1). [para(2277(a,2),110(a,2)),flip(a)]. 2279 T(x,y / (y * x)) = T(x,x \ 1). [para(2278(a,1),1820(a,1)),flip(a)]. 2280 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2279(a,1),109(a,1,2))]. 2282 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [para(2275(a,1),311(a,1)),flip(a)]. 2283 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),2282(a,1,2))]. 2284 T(x / y,y / x) = T(x / y,x \ y). [para(2282(a,2),1816(a,2))]. 2285 T(T(x / y,x \ y),y) = T(y \ x,y / x). [para(2284(a,1),163(a,1,1))]. 2286 T(x \ y,x / y) = T(x \ y,y \ x). [para(2285(a,1),163(a,1))]. 2287 T(x \ (y \ x),(y \ x) \ x) = T(x \ (y \ x),y). [para(59(a,1),2286(a,1,2)),flip(a)]. 2288 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(2287(a,1),2047(a,1))]. 2289 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(145(a,1),2268(a,1,1))]. 2291 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(576(a,1),1833(a,2,1))]. 2292 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [para(2291(a,2),2191(a,1))]. 2293 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1413(a,1),1834(a,2,2,1))]. 2294 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(15(a,1),2293(a,2,2))]. 2296 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [para(2294(a,1),2292(a,1)),flip(a)]. 2297 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [para(2296(a,1),14(a,1,2))]. 2298 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [para(2297(a,2),2078(a,1))]. 2299 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(17,a,1264,a,b,2298,a),flip(a)]. 2300 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [para(13(a,1),2299(a,2,1))]. 2301 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2299(a,1),2060(a,1,2))]. 2302 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2300(a,1),1100(a,1,2))]. 2303 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2062(a,1),2302(a,1,2))]. 2304 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2046(a,1),2303(a,2,2))]. 2305 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2048(a,1),2303(a,2,2))]. 2307 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(2134,a,2304,a)]. 2308 (x * K(y,y \ 1)) / ((y \ 1) \ 1) = x / y. [hyper(468,a,2304,a)]. 2309 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [para(16(a,1),2304(a,1,1)),flip(a)]. 2310 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(109(a,1),2304(a,1,1))]. 2311 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [para(2304(a,1),1753(a,2))]. 2313 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(71,a,2307,a)]. 2314 x * K(x,x \ 1) = T(x,x \ 1). [para(2307(a,2),110(a,2)),flip(a)]. 2315 x \ (x \ ((x \ 1) \ 1)) = 1 / x. [para(2313(a,2),1236(a,1,2))]. 2316 x \ T(x,y / (x * y)) = K(x,x \ 1). [para(1814(a,2),2313(a,1,2))]. 2317 x \ T(x,L(x \ 1,x,y)) = K(x,x \ 1). [para(2049(a,2),2313(a,1,2))]. 2318 x * (x * (1 / x)) = T(x,x \ 1). [para(1235(a,1),2314(a,1,2))]. 2319 T(x,x \ 1) \ (x * L(y,(x * (1 / x)) \ 1,x * (1 / x))) = L(((x * (1 / x)) \ 1) * y,x * (1 / x),x). [para(2318(a,1),400(a,1,1))]. 2320 T(K(x,(y * x) \ y),x) = K(x,x \ 1). [para(2317(a,1),1953(a,2))]. 2321 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2320(a,1),2177(a,1,1))]. 2323 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [para(16(a,1),2305(a,1,1)),flip(a)]. 2324 (x * K(y,y \ 1)) * y = x * T(y,y \ 1). [para(2305(a,1),1753(a,2))]. 2325 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2262(a,1),2309(a,1,2))]. 2326 x * ((y \ 1) \ 1) != z * y | x * K(y,y \ 1) = z. [para(2311(a,1),20(a,1))]. 2328 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [para(2323(a,1),952(a,1))]. 2329 (x / ((y \ 1) \ 1)) * K(y,y \ 1) = x / y. [para(110(a,1),2328(a,1,1,2))]. 2330 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2321(a,2),302(a,1,1)),flip(a)]. 2331 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [para(2321(a,2),2300(a,1))]. 2333 L(K(x,x \ 1),x,y) = K(x,x \ 1). [para(2331(a,2),2062(a,1))]. 2334 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1282(a,1),2333(a,1,1))]. 2336 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [para(2334(a,2),1282(a,1))]. 2337 (x * (y \ 1)) / K(y \ 1,y) = x * (1 / y). [para(2336(a,1),548(a,1,2))]. 2338 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(2337(a,1),16(a,1,1))]. 2339 (x * (1 / y)) * y = R(x,y \ 1,y). [para(2337(a,1),1406(a,1,1))]. 2340 R(x,y \ 1,y) / y = x * (1 / y). [para(2337(a,1),1407(a,1)),flip(a)]. 2342 R(x / (1 / y),y \ 1,y) = x * y. [para(16(a,1),2339(a,1,1)),flip(a)]. 2343 R(x,1 / y,y) = R(x,y \ 1,y). [para(2339(a,1),172(a,1)),flip(a)]. 2344 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(59(a,1),2343(a,1,2)),flip(a)]. 2345 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [para(2343(a,1),423(a,1))]. 2346 ((1 / x) * (y * x)) \ (y * R(y / (1 / x),x \ 1,x)) = (1 / x) \ y. [para(2342(a,1),1606(a,1,1,2))]. 2347 R(x,1 / y,K(y \ 1,y)) = x. [hyper(571,a,2338,a)]. 2348 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(468,a,2338,a)]. 2349 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [para(16(a,1),2338(a,1,1)),flip(a)]. 2350 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1237(a,1),2347(a,1,3))]. 2351 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2350(a,1),1252(a,1,1)),flip(a)]. 2352 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [para(2350(a,1),1253(a,1)),flip(a)]. 2353 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [para(2349(a,1),975(a,2))]. 2354 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [para(2349(a,1),981(a,1))]. 2356 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [para(2352(a,1),1755(a,1)),flip(a)]. 2357 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2353(a,1),16(a,1,1))]. 2358 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2353(a,1),2342(a,1,1))]. 2360 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [para(2356(a,1),2088(a,1)),flip(a)]. 2361 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [para(2356(a,1),2089(a,1,2)),flip(a)]. 2362 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(2282(a,1),2345(a,1,1)),flip(a)]. 2363 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(59(a,1),2360(a,1,2,2,2,2)),flip(a)]. 2364 (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). [para(2360(a,1),2271(a,1,1))]. 2365 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2361(a,1),61(a,1,1))]. 2366 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(13(a,1),2363(a,2,2,2,2))]. 2367 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [para(2363(a,1),61(a,1,1))]. 2368 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. [para(59(a,1),2364(a,1,1,2,2)),flip(a)]. 2369 1 / (x \ (x / (y \ 1))) = (x \ (x / (1 / y))) \ 1. [para(59(a,1),2365(a,1,1,2,2,2)),flip(a)]. 2370 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(125(a,1),2365(a,1,1,2,2)),flip(a)]. 2371 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2091(a,2),2366(a,1,2))]. 2372 x / L(y,y \ 1,x) = x * (1 / y). [para(59(a,1),2371(a,2,2,2))]. 2373 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(2372(a,1),61(a,1,1)),flip(a)]. 2374 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2372(a,2),480(a,1,1,2))]. 2375 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [para(2374(a,1),2171(a,2))]. 2376 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(61(a,1),2375(a,1,2))]. 2377 (x * K(x \ y,y \ x)) \ y = 1 / (1 / (x \ y)). [para(2086(a,2),2367(a,1,1))]. 2378 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. [para(2368(a,1),61(a,1,1)),flip(a)]. 2379 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2370(a,1),61(a,1,1))]. 2380 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [para(2370(a,1),127(a,1,2,1))]. 2381 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [para(2379(a,1),2057(a,2))]. 2382 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2381(a,2),14(a,1,2))]. 2383 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(61(a,1),2381(a,2,2,2,1))]. 2384 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2381(a,1),109(a,1,2))]. 2385 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [para(2382(a,1),733(a,2))]. 2386 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(15(a,1),2385(a,1,1)),flip(a)]. 2387 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2385(a,1),1402(a,1,1))]. 2388 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [para(2386(a,1),16(a,1,1))]. 2389 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). [para(2259(a,2),2386(a,1,2))]. 2390 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(15(a,1),2387(a,1,1)),flip(a)]. 2391 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(473(a,1),2387(a,1,1)),flip(a)]. 2392 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(732(a,1),2387(a,1,1)),flip(a)]. 2393 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(2326,a,2388,a)]. 2394 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(18,a,2311,a(flip),b,2388,a)]. 2395 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(2123,a,2388,a(flip))]. 2396 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(2395(a,1),1636(a,1,1,1,2)),flip(a)]. 2397 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(206,a,2393,a)]. 2398 (x / (1 / (1 / y))) * K(y \ 1,y) = x / y. [hyper(18,a,2356,a,b,2393,a)]. 2399 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [hyper(18,a,2351,a,b,2393,a)]. 2400 (x / (y * x)) * K(y \ 1,y) = R(y \ 1,y,x). [hyper(18,a,1809,a(flip),b,2393,a)]. 2401 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [para(2338(a,1),2393(a,1,1))]. 2403 x * K(y \ 1,y) != z | z * K(y,y \ 1) = x. [para(2394(a,1),20(a,1)),flip(a)]. 2405 R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). [para(2394(a,1),105(a,2,1))]. 2406 (x * K(y,y \ 1)) * (y \ 1) = x * (1 / y). [para(2394(a,1),2357(a,1,1)),flip(a)]. 2407 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(18,a,372,a,b,2390,a)]. 2408 (x * K(y \ 1,y)) / y = x / T(y,y \ 1). [hyper(468,a,2391,a)]. 2409 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2391(a,1),2357(a,1,1)),flip(a)]. 2410 (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). [para(2398(a,1),2348(a,1,1)),flip(a)]. 2411 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [para(16(a,1),2401(a,1,1)),flip(a)]. 2412 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(2401(a,1),365(a,1,1))]. 2413 K(x / (y * x),y) = K(y \ 1,y). [hyper(17,a,1936,a,b,2400,a),flip(a)]. 2414 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [para(2400(a,1),1934(a,2))]. 2415 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(16(a,1),2413(a,1,1,2)),flip(a)]. 2417 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(15(a,1),2415(a,2,1))]. 2418 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [para(2407(a,1),141(a,1,2)),flip(a)]. 2419 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(1816(a,2),2407(a,1,2))]. 2421 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(59(a,1),2380(a,1,2,1,1,2)),flip(a)]. 2422 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2280(a,1),2409(a,1,1)),flip(a)]. 2423 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(913(a,1),2358(a,2,1))]. 2424 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(719(a,1),2376(a,1,1))]. 2425 K(1 / (1 / x),y) = (x * K(x,y)) / x. [para(2424(a,1),589(a,1))]. 2426 T(K(1 / (1 / x),y),x) = K(x,y). [para(2425(a,2),144(a,1,1))]. 2427 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(176(a,1),2426(a,1,1,1,2))]. 2428 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(59(a,1),2427(a,1,1,1))]. 2429 K(T(x,x \ 1),y) = T(K(x,y),x). [para(2428(a,1),1445(a,1))]. 2430 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(110(a,1),2429(a,1,1)),flip(a)]. 2431 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K((y \ 1) \ 1,x). [para(2430(a,1),2188(a,2))]. 2432 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2256(a,1),2310(a,1,2))]. 2433 (x * y) * K(T(x,y),1 / x) = y * T((x \ 1) \ 1,y). [para(2262(a,1),2432(a,2,2))]. 2434 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [para(2433(a,2),109(a,1))]. 2436 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [para(2330(a,1),2071(a,1)),flip(a)]. 2437 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2331(a,1),2436(a,2,1)),flip(a)]. 2438 K((x * y) \ x,y) = K(y \ 1,y). [para(2437(a,1),2067(a,1))]. 2439 K(x \ (x / y),y) = K(y \ 1,y). [para(16(a,1),2438(a,1,1,1))]. 2440 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(109(a,1),2438(a,1,1,1)),flip(a)]. 2442 K(x \ (x / y),y) = (y \ 1) * y. [para(2439(a,2),167(a,1))]. 2443 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(32(a,1),2440(a,2,2)),flip(a)]. 2444 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(953(a,1),2440(a,2,1,1))]. 2445 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2443(a,1),2301(a,1,2)),flip(a)]. 2446 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). [para(177(a,1),2325(a,1,1)),flip(a)]. 2447 ((1 / x) * (y * x)) \ (y * (y * x)) = (1 / x) \ y. [para(2342(a,1),2346(a,1,2,2))]. 2448 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(234(a,1),2396(a,1,2,1,2)),flip(a)]. 2449 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(145(a,1),2448(a,1,1)),flip(a)]. 2450 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(145(a,1),2449(a,1,2)),flip(a)]. 2451 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(2450(a,1),1549(a,1,2,1)),flip(a)]. 2452 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(15(a,1),2451(a,2,2))]. 2453 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [para(2452(a,1),14(a,1,2))]. 2456 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). [para(2262(a,1),2446(a,2,2,1))]. 2457 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [para(2456(a,2),160(a,1))]. 2458 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(837(a,1),2444(a,2,1))]. 2459 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [para(2458(a,2),2094(a,1))]. 2460 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2401(a,1),2412(a,1,2)),flip(a)]. 2461 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [para(2460(a,2),30(a,2)),flip(a)]. 2462 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). [para(110(a,2),2461(a,1,2,2))]. 2463 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(1234(a,1),2462(a,1,3))]. 2464 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(59(a,1),2463(a,2,3))]. 2465 x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(15(a,1),1392(a,1,1))]. 2466 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). [para(15(a,1),2465(a,1,2,1,1)),flip(a)]. 2467 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). [para(13(a,1),2466(a,2,2,1))]. 2468 (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(y,z). [para(16(a,1),2467(a,1,1,1))]. 2469 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1357(a,1),1845(a,2,1))]. 2470 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(2469(a,2),879(a,1))]. 2472 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(879(a,1),2470(a,1,1))]. 2473 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(35,a,2472,a)]. 2474 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1743(a,1),2140(a,1,2))]. 2475 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [para(2474(a,1),554(a,1))]. 2476 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [para(2475(a,1),2190(a,1)),flip(a)]. 2477 K(x,y / (x * y)) = K(x,x \ 1). [para(2476(a,1),2316(a,1))]. 2478 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(16(a,1),2477(a,1,2,2)),flip(a)]. 2480 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [para(2477(a,1),2417(a,2))]. 2481 K(x / (y * x),(x / (y * x)) \ 1) = K(x / (y * x),y). [para(15(a,1),2478(a,2,2))]. 2482 K((x / y) \ 1,x / y) = K(y / x,(y / x) \ 1). [para(2478(a,2),2415(a,2))]. 2483 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2480(a,1),1815(a,1,1))]. 2485 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(467,a,2483,a)]. 2486 L(x,y,K(y,y \ 1)) = x. [hyper(1251,a,2483,a(flip))]. 2487 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [para(110(a,1),2483(a,2,1))]. 2488 K(x,x \ 1) * L(y,x \ 1,x) = T(x,x \ 1) * ((x \ 1) * y). [para(168(a,1),2483(a,1,2))]. 2489 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [para(2483(a,1),1455(a,1)),flip(a)]. 2491 L(x,1 / y,K(y \ 1,y)) = x. [para(1282(a,1),2486(a,1,3))]. 2492 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [para(2486(a,1),2221(a,1)),flip(a)]. 2493 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1237(a,1),2491(a,1,3))]. 2494 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2491(a,1),1261(a,1,2)),flip(a)]. 2495 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2491(a,1),1647(a,1,1,2))]. 2496 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [para(2491(a,1),1262(a,1)),flip(a)]. 2497 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [para(2491(a,1),1731(a,1)),flip(a)]. 2498 K(x \ 1,x) * y != (x \ 1) * z | (1 / x) * z = y. [para(2491(a,1),1263(a,2,2))]. 2499 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2493(a,1),1274(a,1,2)),flip(a)]. 2500 x \ (K(x,x \ 1) * y) = (1 / (1 / x)) \ y. [para(2493(a,1),1275(a,1)),flip(a)]. 2501 (1 / x) * (x * y) = L(y,x,x \ 1). [para(13(a,1),2495(a,1,1)),flip(a)]. 2502 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(32(a,2),2495(a,1,1))]. 2503 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [para(59(a,1),2495(a,2,1))]. 2504 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(398(a,1),2495(a,1,1))]. 2505 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2495(a,1),434(a,1,2))]. 2506 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(71,a,2501,a)]. 2507 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2501(a,1),214(a,1,1))]. 2508 (1 / (1 / x)) \ L(y,1 / x,x) = (1 / x) * y. [para(61(a,1),2506(a,1,2,3))]. 2509 ((x \ 1) \ 1) \ (K(x,x \ 1) * y) = x \ y. [para(110(a,1),2485(a,1,1))]. 2511 T(x,x \ 1) * y != x * z | K(x,x \ 1) * y = z. [para(2489(a,1),19(a,1))]. 2512 (T(x,x \ 1) * y) \ ((K(x,x \ 1) * y) * x) = K(K(x,x \ 1) * y,x). [para(2489(a,1),26(a,2,1)),flip(a)]. 2514 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(14(a,1),2494(a,1,2)),flip(a)]. 2515 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2494(a,1),30(a,2,2)),flip(a)]. 2516 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2494(a,1),387(a,1,1))]. 2517 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(2494(a,1),332(a,1,1))]. 2518 (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. [para(13(a,1),2497(a,1,2)),flip(a)]. 2519 T(x \ ((1 / y) \ x),y \ 1) = x \ ((y \ 1) \ x). [para(2497(a,1),1431(a,1,1,2))]. 2521 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(209(a,1),2499(a,1,2))]. 2522 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [para(2500(a,1),1454(a,1)),flip(a)]. 2523 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1021(a,1),2514(a,1,2)),flip(a)]. 2524 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(2518(a,1),14(a,1,2))]. 2528 x * T(x \ ((1 / y) \ x),y \ 1) = (y \ 1) \ x. [para(2519(a,2),14(a,1,2))]. 2529 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [para(2528(a,1),1524(a,2))]. 2530 (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) = y. [hyper(17,a,13,a(flip),b,2529,a)]. 2531 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [para(2529(a,1),2509(a,1,2))]. 2532 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(17,a,2518,a(flip),b,2530,a(flip)),flip(a)]. 2533 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2530(a,1),14(a,1,2)),flip(a)]. 2534 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [para(2530(a,1),2518(a,1)),flip(a)]. 2535 K(x,x \ 1) \ y = K(x \ 1,x) * y. [hyper(71,a,2532,a)]. 2536 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(17,a,2522,a,b,2532,a)]. 2537 K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. [hyper(17,a,2499,a,b,2532,a)]. 2538 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(17,a,2492,a,b,2532,a)]. 2539 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [hyper(17,a,2487,a,b,2532,a)]. 2540 K(x \ 1,x) \ y = K(x,x \ 1) * y. [para(14(a,1),2532(a,1,2)),flip(a)]. 2541 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2532(a,1),19(a,1)),flip(a)]. 2542 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [para(2494(a,1),2532(a,1,2))]. 2543 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [para(2532(a,1),2509(a,1,2)),flip(a)]. 2544 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2534(a,1),19(a,1)),flip(a)]. 2545 K(x,x \ 1) \ ((1 / x) * y) = (x \ 1) * y. [para(2535(a,2),2494(a,1))]. 2546 K(x * y,(x * y) \ 1) * ((((x * y) \ 1) * x) * y) = a((x * y) \ 1,x,y). [para(2540(a,1),237(a,1))]. 2547 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. [para(2540(a,1),2114(a,1,2,1))]. 2548 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2540(a,1),2208(a,1,2,1))]. 2549 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2540(a,1),2209(a,1,2,1))]. 2550 L(K(x,x \ 1) * y,x \ 1,x) = x * ((1 / x) * y). [para(2533(a,1),168(a,1,2)),flip(a)]. 2551 K(x \ 1,x) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(2289(a,1),2536(a,1,2))]. 2552 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [para(14(a,1),2537(a,1,2)),flip(a)]. 2553 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(2537(a,1),1055(a,1)),flip(a)]. 2554 ((x \ 1) \ 1) \ (x * y) = K(x \ 1,x) * y. [para(13(a,1),2538(a,1,2)),flip(a)]. 2555 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [para(2538(a,1),911(a,1)),flip(a)]. 2556 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(1056,a,2539,a),flip(a)]. 2557 K(x \ 1,x) * y != x * z | ((x \ 1) \ 1) * z = y. [para(2539(a,1),19(a,1)),flip(a)]. 2558 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1460,a,2542,a)]. 2559 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) = L((y \ 1) * z,K(y,y \ 1),x). [para(2542(a,1),28(a,2,2,2)),flip(a)]. 2560 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2542(a,1),123(a,1,1,2))]. 2561 T(x,x \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(2542(a,1),2489(a,1,2)),flip(a)]. 2562 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(763,a,2558,a)]. 2563 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(59(a,1),2562(a,1,2)),flip(a)]. 2564 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,1 / T(y,y \ z),(y \ z) \ z). [para(478(a,2),2562(a,1,2)),flip(a)]. 2565 L(x,T(y,y \ z) \ 1,T(y,y \ z)) = L(x,1 / T(y,y \ z),(y \ z) \ z). [para(2562(a,1),1634(a,1))]. 2566 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1284(a,1),2543(a,1,2,1))]. 2567 ((x \ 1) \ 1) \ x = K(x \ 1,x). [hyper(2129,a,2554,a)]. 2568 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2288(a,1),2555(a,1,2))]. 2569 ((x \ 1) \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(2494(a,1),2556(a,1,2))]. 2570 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [para(2563(a,1),348(a,1))]. 2571 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(18,a,1783,a,b,2551,a),flip(a)]. 2572 T(x,K(y \ 1,y)) = x. [hyper(35,a,2571,a)]. 2573 K(x \ 1,x) * y = y * K(x \ 1,x). [para(2571(a,1),109(a,1,2)),flip(a)]. 2574 T((x \ 1) * x,y) = K(x \ 1,x). [para(167(a,1),2571(a,1,1))]. 2575 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [para(2571(a,1),1326(a,2))]. 2576 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2571(a,1),2197(a,1,1))]. 2578 T(x,K(y,1 / y)) = x. [para(61(a,1),2572(a,1,2,1))]. 2580 T(x,K(y,y \ 1)) = x. [para(1237(a,1),2572(a,1,2))]. 2581 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [para(2572(a,1),1635(a,2,1))]. 2582 T(x,K(y \ z,z \ y)) = x. [para(2299(a,1),2572(a,1,2))]. 2583 K(x,1 / x) * y = y * K(x,1 / x). [hyper(2006,a,2578,a),flip(a)]. 2584 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(2006,a,2580,a),flip(a)]. 2585 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(35,a,2580,a)]. 2587 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2006,a,2582,a),flip(a)]. 2588 (x * K(y \ z,z \ y)) / x = K(y \ z,z \ y). [para(2582(a,1),124(a,1,2))]. 2590 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [para(2585(a,1),1713(a,1,2)),flip(a)]. 2591 T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). [para(2585(a,1),1900(a,1,2))]. 2594 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2544,a,2573,a)]. 2595 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(21,a,2573,a)]. 2596 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(17,a,2394,a(flip),b,2573,a)]. 2597 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2573(a,1),95(a,1,1))]. 2598 L(x \ (K(y \ 1,y) \ z),x,K(y \ 1,y)) = (x * K(y \ 1,y)) \ z. [para(2573(a,1),193(a,2,1))]. 2599 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = L(T(z,y),y,K(x \ 1,x)). [para(2573(a,1),157(a,1,2))]. 2600 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2573(a,2),390(a,1,2))]. 2601 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(2573(a,2),653(a,1,1))]. 2602 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [para(2573(a,2),733(a,1))]. 2603 ((x * (y * z)) * K(u \ 1,u)) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(2573(a,1),345(a,1,1))]. 2604 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [para(2573(a,2),2354(a,1))]. 2605 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [para(2573(a,2),2385(a,1))]. 2606 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2573(a,2),2388(a,1,1))]. 2607 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [para(2573(a,2),2394(a,1))]. 2608 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [para(2573(a,2),2391(a,1))]. 2609 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [para(2573(a,2),2399(a,1))]. 2610 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2573(a,2),2403(a,1))]. 2611 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [para(2573(a,1),2494(a,1))]. 2612 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [para(2573(a,1),2497(a,1))]. 2613 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [para(2573(a,1),2514(a,2))]. 2615 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [para(2573(a,1),2534(a,1))]. 2616 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [para(2573(a,1),2537(a,1))]. 2617 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [para(2573(a,1),2538(a,1))]. 2618 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [para(2573(a,1),2553(a,1,2))]. 2619 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [para(2573(a,1),2554(a,2))]. 2620 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2573(a,1),2544(a,1))]. 2621 T(x,y) \ K(x \ 1,x) = T(T(x,y) \ 1,x). [para(2575(a,1),704(a,1,2))]. 2622 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2575(a,1),706(a,1,1))]. 2625 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2584(a,2),30(a,2,2)),flip(a)]. 2626 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) = L(T(z,y),y,K(x,x \ 1)). [para(2584(a,1),157(a,1,2))]. 2627 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2584(a,2),390(a,1,2))]. 2628 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) = R(T(z,y * K(x,x \ 1)),y,K(x,x \ 1)). [para(2584(a,2),653(a,1,1))]. 2629 (x * (y * K(z,z \ 1))) \ ((K(z,z \ 1) * x) * T(y,K(z,z \ 1))) = a(x,K(z,z \ 1),T(y,K(z,z \ 1))). [para(2584(a,2),152(a,1,2,1))]. 2630 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [para(2584(a,2),2304(a,1))]. 2631 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [para(2584(a,2),2305(a,1))]. 2632 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [para(2584(a,2),2324(a,1,1))]. 2633 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2584(a,2),2401(a,1))]. 2634 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2584(a,2),2405(a,1,1,1))]. 2635 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [para(2584(a,1),2483(a,1))]. 2636 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [para(2584(a,1),2487(a,1))]. 2637 x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. [para(2584(a,1),2489(a,1,2))]. 2638 (((x \ 1) \ 1) \ y) * K(x,x \ 1) = x \ y. [para(2584(a,1),2492(a,1))]. 2639 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [para(2584(a,1),2529(a,1))]. 2640 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [para(2584(a,1),2542(a,1))]. 2641 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [para(2590(a,2),2307(a,1))]. 2643 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(2641(a,1),812(a,1,2))]. 2644 L(x \ (y * K(z \ 1,z)),x,K(z,z \ 1)) = (K(z,z \ 1) * x) \ y. [para(2594(a,1),97(a,2,2))]. 2645 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2354(a,1),2594(a,1,2))]. 2646 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2594(a,1),2485(a,1,2)),flip(a)]. 2647 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2607(a,1),97(a,2,1))]. 2648 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [para(2607(a,1),2556(a,1,2)),flip(a)]. 2649 (x * y) * K(L(z,y,x) \ 1,z) = x * (y * K(z \ 1,z)). [para(2576(a,1),95(a,1,2))]. 2651 (x \ 1) \ (y / ((x \ 1) \ 1)) = (1 / x) \ (y / x). [para(2605(a,1),2496(a,1,2))]. 2652 ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. [para(2494(a,1),2606(a,1,1))]. 2653 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(2536(a,1),2606(a,1,1)),flip(a)]. 2654 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2538(a,1),2606(a,1,1))]. 2655 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [para(2609(a,1),2552(a,2))]. 2658 ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). [para(2611(a,1),2348(a,1,1)),flip(a)]. 2660 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(2612(a,1),2357(a,1,1))]. 2661 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2299(a,1),2616(a,1,2))]. 2662 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2616(a,1),2357(a,1,1))]. 2663 (1 / (1 / x)) * (y / (1 / (1 / x))) = x * (y / x). [para(2398(a,1),2618(a,1,2)),flip(a)]. 2664 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2619(a,1),2570(a,1,1))]. 2665 x * (T(x,y) \ K(x \ 1,x)) = (T(x,y) \ 1) * x. [para(2621(a,2),109(a,1,2))]. 2668 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2640(a,1),2137(a,1,2))]. 2669 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(59(a,1),2668(a,1,2,1)),flip(a)]. 2670 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [para(2643(a,1),2329(a,1,1))]. 2672 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2264(a,1),2645(a,1,2,2))]. 2673 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(61(a,1),2568(a,1,2,1,1,2)),flip(a)]. 2674 x * (((x \ ((1 / y) \ x)) \ 1) \ 1) = (y \ 1) \ x. [para(61(a,1),2568(a,2,1,1))]. 2675 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(128(a,1),2568(a,1,2,1,1,2))]. 2676 K(x \ y,1 / (y / x)) = K(x \ y,y \ x). [para(2588(a,1),2158(a,1)),flip(a)]. 2678 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [para(2591(a,2),1896(a,1))]. 2680 (x * (y * (z * K(u \ 1,u)))) \ ((x * y) * (K(u \ 1,u) * z)) = a(x,y,z * K(u \ 1,u)). [para(2595(a,2),24(a,2,2)),flip(a)]. 2681 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1473(a,1),2602(a,2,2))]. 2682 ((1 / x) * K(y,x \ 1)) * x = K(y,x \ 1). [para(2652(a,1),2019(a,1))]. 2683 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [hyper(78,a,2682,a),flip(a)]. 2684 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(32(a,2),2655(a,1,2))]. 2685 T(x,1 / (1 / y)) = T(x,y). [hyper(292,a,2684,a),flip(a)]. 2686 T(x,1 / y) = T(x,y \ 1). [para(59(a,1),2685(a,1,2,2))]. 2687 T(x,(y \ 1) \ 1) = T(x,y). [para(125(a,1),2685(a,1,2)),flip(a)]. 2688 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(2686(a,1),109(a,1,2))]. 2689 T(x / (1 / y),y \ 1) = (1 / y) \ x. [para(2686(a,1),111(a,1))]. 2691 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(2687(a,1),109(a,1,2))]. 2692 T(x,T(y,y \ 1)) = T(x,y). [para(110(a,2),2687(a,1,2))]. 2693 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(2288(a,2),2687(a,1,2))]. 2694 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(2692(a,1),109(a,1,2))]. 2697 (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). [para(50(a,2),2688(a,2,2))]. 2698 ((x \ 1) \ 1) * y != z * ((x \ 1) \ 1) | T(z,x) = y. [para(2691(a,1),19(a,1)),flip(a)]. 2699 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(18,a,2422,a,b,2662,a)]. 2700 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(209(a,1),2662(a,1,1)),flip(a)]. 2701 T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x. [para(2665(a,1),1265(a,1)),flip(a)]. 2702 (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). [para(2701(a,1),2205(a,1,2))]. 2703 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(17,a,2453,a,b,2670,a),flip(a)]. 2704 T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). [para(2703(a,2),2585(a,2))]. 2706 T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). [para(2256(a,1),2704(a,1,1))]. 2707 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(2673(a,1),59(a,1,2))]. 2708 ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. [para(2674(a,1),2270(a,1,1)),flip(a)]. 2709 T(1 / (1 / x),y / (y * x)) = x. [hyper(150,a,2699,a(flip))]. 2710 T(1 / (1 / x),(y / x) / y) = x. [para(16(a,1),2709(a,1,2,2))]. 2711 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(2710(a,1),146(a,1,2,2))]. 2712 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),2707(a,1,2,2,1,1))]. 2713 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2269(a,2),2707(a,1,2))]. 2714 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(1749(a,2),2711(a,1,2))]. 2715 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [para(2712(a,2),2283(a,2))]. 2716 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(110(a,2),2715(a,2,2,2)),flip(a)]. 2717 T(x / (x * y),y) \ x = x * T(y,y \ 1). [para(2716(a,1),61(a,1,1))]. 2718 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(15(a,1),2713(a,1,2,1,1,1))]. 2719 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. [para(2573(a,1),2557(a,1))]. 2720 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2613(a,2),2664(a,1,1))]. 2721 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [para(2481(a,2),2413(a,1))]. 2722 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(2721(a,1),1249(a,1,1))]. 2724 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2504(a,2),1955(a,1,1))]. 2725 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [para(2702(a,1),1902(a,1))]. 2726 T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). [hyper(228,a,2725,a),flip(a)]. 2727 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(71,a,2725,a)]. 2728 (x \ T(x,y)) \ 1 = T(x,y) \ x. [para(2727(a,1),1854(a,1)),flip(a)]. 2729 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(42(a,2),2728(a,1,1,2))]. 2730 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(111(a,1),2728(a,1,1,2)),flip(a)]. 2731 (x * T(x \ 1,y)) \ 1 = T(1 / x,y) \ (1 / x). [para(523(a,1),2728(a,1,1))]. 2732 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1553(a,1),2728(a,1,1,2)),flip(a)]. 2733 1 / (x \ T(x,y)) = T(x,y) \ x. [para(2728(a,1),2100(a,2))]. 2734 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(2733(a,1),127(a,1,2,1))]. 2735 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(111(a,1),2730(a,1,1)),flip(a)]. 2736 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(13(a,1),2735(a,1,1,2)),flip(a)]. 2737 (x * T(x \ 1,y)) \ 1 = x \ (T(1 / x,y) \ 1). [para(2731(a,2),2726(a,1))]. 2738 (x \ y) \ (T(1 / (x \ y),z) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1084(a,1),2737(a,1,1)),flip(a)]. 2739 K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). [para(2706(a,1),2249(a,2)),flip(a)]. 2740 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [para(2722(a,1),2414(a,1)),flip(a)]. 2741 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(104(a,1),2740(a,2,1,1,2))]. 2743 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [para(2740(a,2),2718(a,2)),flip(a)]. 2744 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [para(2743(a,2),61(a,1,1))]. 2745 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(2743(a,2),111(a,1,1))]. 2746 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [para(110(a,2),2743(a,2,2,1)),flip(a)]. 2747 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(61(a,1),2744(a,1,1,1))]. 2748 R(x,1 / x,y) \ y = (x \ 1) * y. [para(61(a,1),2747(a,2,1,1))]. 2749 R(x,1 / x,y) = y / ((x \ 1) * y). [para(2748(a,1),59(a,1,2)),flip(a)]. 2750 R(x,1 / x,y) = R(x,x \ 1,y). [para(2749(a,2),140(a,2)),flip(a)]. 2751 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(2750(a,1),1269(a,1,1))]. 2752 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(13(a,1),2736(a,1,1)),flip(a)]. 2753 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(2752(a,1),59(a,1,2))]. 2754 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). [para(108(a,1),2739(a,1,2,1))]. 2756 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(176(a,1),2754(a,2,2))]. 2757 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [para(2756(a,1),2256(a,1)),flip(a)]. 2758 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(2757(a,1),2434(a,1,2))]. 2759 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(17,a,2636,a,b,2758,a)]. 2764 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [para(2759(a,1),2756(a,2))]. 2765 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [para(2764(a,1),1236(a,1,2))]. 2768 (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). [para(2764(a,1),2401(a,1,2))]. 2769 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(2764(a,1),2457(a,1,2))]. 2771 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [para(2765(a,1),1243(a,1)),flip(a)]. 2772 (T(x,y) \ x) / x = 1 / T(x,y). [para(2765(a,1),2678(a,1)),flip(a)]. 2773 (1 / T(x,y)) * x = T(x,y) \ x. [para(2772(a,1),16(a,1,1))]. 2774 x / T(x,y) = T(x,y) \ x. [para(2773(a,1),941(a,1)),flip(a)]. 2775 (T(x,y) \ x) * T(x,y) = x. [para(2774(a,1),16(a,1,1))]. 2776 (T(x,y) \ x) \ x = T(x,y). [para(2774(a,1),61(a,1,1))]. 2777 x \ (x / T(x,y)) = T(x,y) \ 1. [para(2774(a,2),810(a,1,2))]. 2778 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(2774(a,1),1118(a,1,1))]. 2779 L(x,T(x,y) \ x,x) = x. [para(2775(a,1),1987(a,2))]. 2780 (x * y) * T(K(y,x),x) = y * x. [para(2779(a,1),1986(a,1,2)),flip(a)]. 2781 T(1 / T(x,y),x) = T(x,y) \ 1. [para(2777(a,1),949(a,2))]. 2782 T(K(x,y),y) = K(x,y). [hyper(211,a,2780,a),flip(a)]. 2783 T(x,K(y,x)) = x. [hyper(35,a,2782,a)]. 2784 K(x,y) * y = y * K(x,y). [para(2782(a,1),109(a,1,2)),flip(a)]. 2785 (x * K(y,x)) / x = K(y,x). [para(2782(a,1),145(a,1,1,2))]. 2787 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(2782(a,1),161(a,1,2,1)),flip(a)]. 2788 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2783(a,1),160(a,1,2,1)),flip(a)]. 2789 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(2783(a,1),161(a,1,2,1)),flip(a)]. 2790 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(2783(a,1),162(a,1,2,1)),flip(a)]. 2791 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(2783(a,1),306(a,1,2,1,1)),flip(a)]. 2792 R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). [para(2783(a,1),449(a,1,2,1,1)),flip(a)]. 2793 T(x,y \ T(y,x)) = x. [para(707(a,1),2783(a,1,2))]. 2794 T(x,x \ ((y * x) / y)) = x. [para(1102(a,1),2783(a,1,2))]. 2795 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(2783(a,1),2163(a,1,1,1)),flip(a)]. 2796 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(2793(a,1),109(a,1,2))]. 2797 T(x,y) * (z \ T(z,x)) = (z \ T(z,x)) * T(x,y). [para(2793(a,1),160(a,1,2,1)),flip(a)]. 2798 (((x / y) * K(z,x / y)) * y) / x = R(K(z,x / y),x / y,y). [para(2784(a,1),106(a,1,1,1))]. 2799 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(2785(a,1),381(a,1,1,1))]. 2800 L(K(x,y),y,1 / y) = K(x,y). [para(2785(a,1),2026(a,2))]. 2801 ((x * y) / x) / y = y \ ((x * y) / x). [para(2794(a,1),176(a,1,2))]. 2802 (1 / x) * (x * K(y,x)) = K(y,x). [para(2800(a,1),171(a,2))]. 2803 (1 / x) \ K(y,x) = x * K(y,x). [para(2800(a,1),403(a,1,2))]. 2804 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [para(2781(a,1),2622(a,2))]. 2805 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [para(2802(a,1),225(a,1,2)),flip(a)]. 2806 ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). [para(2803(a,1),2612(a,2))]. 2807 T(K(x,y),T(y,z)) = K(x,y). [hyper(150,a,2788,a)]. 2808 x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). [para(2796(a,1),822(a,1,2,2))]. 2809 x * (((y * x) / y) / x) = (y * x) / y. [para(2801(a,2),14(a,1,2))]. 2810 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(592(a,1),2801(a,1,1)),flip(a)]. 2811 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [para(2804(a,1),16(a,1,1))]. 2813 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1154(a,1),2809(a,1,2))]. 2814 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [para(2811(a,1),167(a,2))]. 2815 (T(x,y) \ 1) * T(x,y) = (x \ 1) * x. [para(2811(a,2),167(a,1))]. 2817 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(2814(a,1),2267(a,1,2))]. 2818 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [para(2814(a,1),2443(a,2))]. 2819 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). [para(2814(a,1),2389(a,2,2))]. 2820 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(2814(a,1),2445(a,2,2))]. 2821 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [para(2814(a,1),2459(a,1))]. 2822 K(x \ 1,x) * (T(x,y) \ z) = ((T(x,y) \ 1) \ 1) \ z. [para(2814(a,1),2538(a,1,1))]. 2823 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(2814(a,1),2553(a,1,2,1))]. 2824 T(x,L(K(y,x),z,u)) = x. [hyper(150,a,2787,a)]. 2826 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(2790(a,1),19(a,1)),flip(a)]. 2827 (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). [para(2805(a,1),2235(a,2))]. 2828 x * (T(x,y) / x) = T(x,y). [hyper(18,a,1680,a,b,2817,a),flip(a)]. 2830 T(x,y) / x = x \ T(x,y). [hyper(71,a,2828,a),flip(a)]. 2831 (x \ T(x,y)) * x = T(x,y). [para(2828(a,1),63(a,1,1,2))]. 2832 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(2830(a,1),105(a,1,1))]. 2833 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(2830(a,1),375(a,1,1))]. 2834 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [para(2830(a,1),687(a,1))]. 2835 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [para(2830(a,1),719(a,2))]. 2836 (1 / x) * T(x,y) = x \ T(x,y). [para(2830(a,1),720(a,2))]. 2837 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [para(2830(a,1),1488(a,1))]. 2838 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2830(a,1),2112(a,1,1,2))]. 2839 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(2830(a,1),2254(a,1,1))]. 2840 T(x,x \ T(x,y)) = x. [hyper(230,a,2831,a)]. 2841 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(2831(a,1),28(a,2,1)),flip(a)]. 2842 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(110(a,1),2831(a,1,1,2))]. 2843 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(2831(a,1),95(a,1,1))]. 2844 T(x,y) = K(y \ (y / (x \ 1)),y) * x. [para(707(a,2),2831(a,1,1)),flip(a)]. 2845 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(2831(a,1),664(a,1,1)),flip(a)]. 2846 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [para(2831(a,1),1496(a,2))]. 2847 K(x,x \ T(x,y)) = 1. [hyper(36,a,2840,a)]. 2848 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(707(a,2),2840(a,1,2))]. 2849 K(x,T(x,y) / x) = 1. [para(2830(a,2),2847(a,1,2))]. 2850 T(1 / x,T(x,y)) = x \ 1. [para(2849(a,1),869(a,1,2)),flip(a)]. 2851 T(1 / (1 / x),T(1 / x,y)) = x. [para(2850(a,2),61(a,1))]. 2852 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(2850(a,1),163(a,1,1)),flip(a)]. 2853 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(2850(a,1),287(a,2,1))]. 2854 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [para(2850(a,1),1491(a,1)),flip(a)]. 2856 (((x * y) / x) \ y) \ y = (x * y) / x. [para(2848(a,1),876(a,1)),flip(a)]. 2857 T(x,T(1 / x,y)) = T(x,x \ 1). [para(2851(a,1),1225(a,1,1)),flip(a)]. 2859 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(2852(a,1),1318(a,1,1,2)),flip(a)]. 2861 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(2857(a,1),1531(a,1,1))]. 2862 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2857(a,1),2200(a,1,1,1))]. 2863 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,K(x \ (x / (y \ 1)),x) * y). [para(2844(a,2),443(a,1,2,2))]. 2864 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(2856(a,1),14(a,1,2))]. 2865 x / ((y * x) / y) = ((y * x) / y) \ x. [para(2856(a,1),59(a,1,2))]. 2866 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(881(a,1),2856(a,1,1,1,1))]. 2867 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2505(a,1),2864(a,1,1,1,1))]. 2868 (((x * y) / x) \ y) / y = 1 / ((x * y) / x). [para(2865(a,1),1153(a,1,1))]. 2869 T(x,x / (y * x)) = T(x,x / (x * y)). [para(143(a,1),2846(a,1,2))]. 2870 T(x / ((y / z) * x),z \ y) = R((y / z) \ 1,y / z,x). [para(111(a,1),2853(a,1,2))]. 2871 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(145(a,1),2854(a,1,3,2))]. 2873 ((x * y) * K(x \ 1,x)) \ y = 1 / (1 / ((x * y) \ y)). [para(2818(a,1),2377(a,1,1,2))]. 2875 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [para(2821(a,1),2482(a,1)),flip(a)]. 2877 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(2834(a,1),524(a,2,1)),flip(a)]. 2878 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(2834(a,1),2728(a,1,1))]. 2879 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(2875(a,1),1249(a,1,1))]. 2880 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(2875(a,2),2301(a,1,2))]. 2881 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(2837(a,1),2733(a,1,2)),flip(a)]. 2882 T(x,y \ ((x * y) / x)) = x. [para(2837(a,1),2840(a,1,2))]. 2883 T(x,T(y,x) \ y) = x. [para(145(a,1),2882(a,1,2,2))]. 2884 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(2883(a,1),109(a,1,2))]. 2885 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [para(2884(a,1),1489(a,2))]. 2886 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(2884(a,1),1839(a,1,1,2,1))]. 2887 L(x,x \ T(x,y),x) = x. [para(2845(a,2),59(a,1))]. 2888 K(1 / x,y) = K(x \ 1,y). [para(2877(a,1),2375(a,1)),flip(a)]. 2889 K((x \ 1) \ 1,y) = K(x,y). [para(59(a,1),2888(a,1,1)),flip(a)]. 2890 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(2888(a,1),736(a,1))]. 2892 K(T(1 / x,y) \ 1,z) = K(T(x \ 1,y) \ 1,z). [para(2260(a,1),2888(a,1,1))]. 2893 K(T(x,x \ 1),y) = K(x,y). [para(110(a,2),2889(a,1,1))]. 2894 T(K(x,y),x) = K(x,y). [para(2889(a,1),2430(a,2))]. 2895 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [para(2889(a,1),2431(a,2))]. 2896 T(x,K(x,y)) = x. [hyper(35,a,2894,a)]. 2897 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(2894(a,1),162(a,1,2,1)),flip(a)]. 2898 T(T(x,y),K(x,z)) = T(x,y). [para(2896(a,1),38(a,1,1)),flip(a)]. 2899 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(2896(a,1),160(a,1,2,1)),flip(a)]. 2900 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(2896(a,1),161(a,1,2,1)),flip(a)]. 2901 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(2896(a,1),162(a,1,2,1)),flip(a)]. 2902 T((x * y) / x,K(y,z)) = (x * y) / x. [para(2896(a,1),315(a,1,1,2)),flip(a)]. 2903 (x * K(y,z)) \ (x * (y * K(y,z))) = L(y,K(y,z),x). [para(2896(a,1),157(a,2,1))]. 2905 K(T(x,y),K(x,z)) = 1. [hyper(36,a,2898,a)]. 2906 T(K(x,y),T(x,z)) = K(x,y). [hyper(35,a,2898,a)]. 2907 T(T(K(x,y),z),T(x,u)) = T(K(x,y),z). [para(2906(a,1),38(a,1,1)),flip(a)]. 2910 T(K(x,y),(z * x) / z) = K(x,y). [hyper(35,a,2902,a)]. 2911 T(x,R(K(x,y),z,u)) = x. [hyper(150,a,2897,a)]. 2912 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(2897(a,1),370(a,1))]. 2913 K(x,R(K(x,y),z,u)) = 1. [hyper(36,a,2911,a)]. 2914 R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). [para(2911(a,1),161(a,1,2,1))]. 2916 (K(x,y) \ y) * K(x,y) = y. [hyper(17,a,87,a(flip),b,2795,a)]. 2917 x / K(y,x) = K(y,x) \ x. [hyper(78,a,2916,a)]. 2918 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(150,a,2797,a)]. 2919 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [hyper(2719,a,2806,a)]. 2920 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [para(2919(a,1),2648(a,2))]. 2921 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(2511,a,2861,a)]. 2922 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(110(a,1),2861(a,1,1))]. 2923 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(2861(a,1),472(a,1,1))]. 2925 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(790(a,2),2878(a,1,1)),flip(a)]. 2926 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1084(a,1),2878(a,1,1)),flip(a)]. 2927 K(((x * y) * z) \ (y * z),R(T(x,y * z),y,z)) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(653(a,1),2879(a,1,1,2))]. 2928 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [para(2881(a,2),2753(a,1))]. 2929 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(145(a,1),2928(a,2,1))]. 2930 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(2885(a,1),2929(a,1,1))]. 2931 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(2930(a,1),59(a,1,2))]. 2932 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(734(a,1),2931(a,1,2,2))]. 2933 (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). [para(831(a,1),2768(a,1,1))]. 2934 (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. [hyper(22,a,2792,a)]. 2936 (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). [para(110(a,1),2819(a,1,2,1))]. 2939 K(x \ 1,x) * (T(x,y) \ z) = T((x \ 1) \ 1,y) \ z. [para(2262(a,1),2822(a,2,1))]. 2940 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2264(a,1),2823(a,2,1))]. 2941 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. [para(2616(a,1),2873(a,1,1)),flip(a)]. 2942 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [para(2941(a,1),61(a,1,1))]. 2943 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. [para(59(a,1),2942(a,1,1,1,1,2)),flip(a)]. 2944 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [para(2943(a,1),61(a,1,1))]. 2945 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(2501(a,1),2944(a,1,1,1,1))]. 2946 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(2944(a,1),2889(a,1,1)),flip(a)]. 2947 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). [para(2936(a,1),16(a,1,1))]. 2948 (T(x,y) \ z) * K(x \ 1,x) = T((x \ 1) \ 1,y) \ z. [para(2939(a,1),2573(a,1)),flip(a)]. 2949 (T(1 / (1 / x),y) * z) / (K(x \ 1,x) * z) = T(x,y). [hyper(78,a,2940,a)]. 2950 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [para(2949(a,1),198(a,1,1)),flip(a)]. 2951 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2610,a,2950,a)]. 2952 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(2950(a,1),2556(a,1,2))]. 2953 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1234(a,1),2951(a,1,2))]. 2954 (x * y) * z != x * (y * K(u \ 1,u)) | K(L(u,y,x) \ 1,u) = z. [para(2649(a,1),19(a,1)),flip(a)]. 2955 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(13(a,1),2732(a,2,1))]. 2957 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [para(2751(a,1),1269(a,1))]. 2958 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [para(2957(a,1),285(a,1))]. 2959 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(2827(a,2),14(a,1,2))]. 2960 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(2841(a,1),822(a,1,2)),flip(a)]. 2961 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(14(a,1),2960(a,1,1)),flip(a)]. 2962 L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. [para(2960(a,2),19(a,1))]. 2963 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [para(2843(a,1),1955(a,2))]. 2964 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(2958(a,2),90(a,1,2,2))]. 2965 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). [para(2959(a,1),1563(a,1,1)),flip(a)]. 2966 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2068(a,1),2661(a,1,2))]. 2967 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(2830(a,1),2838(a,2,2,1,2))]. 2968 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [para(2886(a,2),2884(a,1))]. 2969 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(2686(a,1),2890(a,2,1,1))]. 2970 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(18,a,2635,a,b,2933,a)]. 2971 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [para(110(a,1),2970(a,1,2))]. 2973 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(2930(a,1),2968(a,1,1,2))]. 2974 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(17,a,2967,a(flip),b,2973,a(flip)),flip(a)]. 2975 K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). [para(2488(a,2),2561(a,1))]. 2976 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(2745(a,1),42(a,2))]. 2977 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). [para(2799(a,2),715(a,1,1,2))]. 2978 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(307(a,1),2833(a,2,1))]. 2979 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(2669(a,1),2976(a,1,1))]. 2980 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [para(2979(a,1),1026(a,1)),flip(a)]. 2981 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(110(a,2),2980(a,2,1,1)),flip(a)]. 2982 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(42(a,2),2729(a,2,1))]. 2983 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(2764(a,1),2769(a,1,2))]. 2985 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(2983(a,1),2637(a,1,2)),flip(a)]. 2987 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(221(a,1),2985(a,1,1)),flip(a)]. 2988 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(972(a,1),2859(a,1,1))]. 2989 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(109(a,1),2988(a,2,1))]. 2990 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [para(2989(a,2),2574(a,1))]. 2991 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(2990(a,1),982(a,1,1)),flip(a)]. 2993 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [para(2991(a,2),2804(a,1))]. 2995 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(2993(a,1),2990(a,1,1))]. 2996 K(x \ 1,T(x,y)) = K(x \ 1,x). [para(108(a,1),2995(a,1,1,1))]. 3006 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(2996(a,1),759(a,1,1,2))]. 3007 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(2925(a,1),2871(a,1,3))]. 3008 T(x,K(y,x) \ 1) = x. [para(2925(a,1),2883(a,1,2))]. 3009 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3008(a,1),109(a,1,2))]. 3010 (K(x,y) \ y) / (K(x,y) \ 1) = (K(x,y) \ 1) \ (K(x,y) \ y). [para(3008(a,1),712(a,1,1,2))]. 3011 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3009(a,1),142(a,2,1)),flip(a)]. 3012 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [para(3011(a,2),3007(a,1))]. 3014 (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. [para(2934(a,1),68(a,1))]. 3015 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(59(a,1),2953(a,2,1,1,2))]. 3016 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2620,a,3015,a)]. 3017 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(13(a,1),3016(a,1,2)),flip(a)]. 3018 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [para(3017(a,1),14(a,1,2))]. 3019 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(1674(a,2),3018(a,1,2))]. 3020 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2529(a,1),3018(a,1,2)),flip(a)]. 3021 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3020(a,1),803(a,1,2))]. 3022 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1234(a,1),2966(a,1,2))]. 3023 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2125(a,1),2516(a,1,2))]. 3024 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3023(a,1),1317(a,2,2,1,2)),flip(a)]. 3026 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2598(a,2),236(a,1))]. 3027 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(2584(a,2),2625(a,1,1))]. 3028 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(109(a,2),2912(a,2,1,1,1))]. 3029 (T(x,x \ 1) * y) \ (y * T(x,x \ 1)) = K(K(x,x \ 1) * y,x). [para(2632(a,1),2512(a,1,2))]. 3030 K(K(x,x \ 1) * y,x) = K(y,T(x,x \ 1)). [para(3029(a,1),26(a,2)),flip(a)]. 3031 K(K(x,x \ 1) * y,x) = K(y,(x \ 1) \ 1). [para(110(a,1),3030(a,2,2))]. 3032 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). [para(2492(a,1),3031(a,1,1)),flip(a)]. 3033 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1577(a,1),2862(a,2,1))]. 3035 R(T(x,x \ 1),y,z) \ R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(3033(a,2),307(a,1))]. 3036 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(61(a,1),2987(a,1,2,1,1,1))]. 3037 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(17,a,2524,a,b,3036,a),flip(a)]. 3038 (x \ 1) * (T(1 / x,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3036(a,1),3021(a,1))]. 3039 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3037(a,1),2556(a,1,2))]. 3040 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(78,a,3038,a)]. 3041 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(2741(a,1),373(a,1,1))]. 3042 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2631(a,1),2548(a,1,2,1))]. 3043 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2631(a,1),2549(a,1,2,1))]. 3044 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2323(a,1),3043(a,1,2,1))]. 3045 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2700(a,2),408(a,2))]. 3046 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2566(a,1),3019(a,1,2))]. 3047 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(110(a,2),3046(a,1,2,1))]. 3048 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / ((x \ (x / (1 / y))) \ 1)) * z. [para(2369(a,1),3022(a,2,1,2))]. 3049 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2581(a,1),3026(a,1,1,2))]. 3050 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(59(a,1),3048(a,2,1))]. 3052 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3050(a,1),2423(a,1,1))]. 3053 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(689(a,1),3052(a,2,1,2))]. 3054 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(592(a,1),2810(a,1,2)),flip(a)]. 3055 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [para(3054(a,1),1649(a,1))]. 3056 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(2961(a,1),2963(a,1,1))]. 3057 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3056(a,1),164(a,1)),flip(a)]. 3058 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(13(a,1),3057(a,1,1)),flip(a)]. 3059 (x \ T(x,y)) \ L(z,x \ T(x,y),x) = x * (T(x,y) \ z). [hyper(71,a,3058,a)]. 3060 (x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). [para(821(a,1),3058(a,1,2))]. 3061 L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). [para(2771(a,1),3058(a,1,2)),flip(a)]. 3062 T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). [para(3060(a,1),2797(a,2))]. 3063 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [para(2887(a,1),3059(a,1,2))]. 3064 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1553(a,1),3063(a,1,1,2)),flip(a)]. 3065 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(2837(a,1),3063(a,1,1)),flip(a)]. 3066 L(1 / x,x \ T(x,y),x) = 1 / x. [para(3061(a,2),2839(a,1))]. 3067 x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). [para(3066(a,1),442(a,2,1))]. 3069 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(2928(a,1),3065(a,1,2)),flip(a)]. 3070 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(145(a,1),3069(a,1,1,2)),flip(a)]. 3071 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(145(a,1),3070(a,1,2,1)),flip(a)]. 3072 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(3071(a,1),14(a,1,2))]. 3073 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(13(a,1),3064(a,2,1))]. 3075 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2955(a,1),3073(a,1,2))]. 3076 x \ (K(x,y) \ x) = K(x,y) \ 1. [hyper(71,a,3075,a)]. 3077 K(x,y) \ x != x * z | K(x,y) \ 1 = z. [para(3075(a,1),19(a,1))]. 3078 x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). [para(14(a,1),3067(a,1,2,2,2))]. 3080 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(2850(a,1),3078(a,1,2,2)),flip(a)]. 3081 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1198(a,1),3080(a,2,2))]. 3083 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [para(3081(a,2),168(a,1))]. 3084 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [para(14(a,1),3083(a,1,2)),flip(a)]. 3086 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [para(3084(a,2),2836(a,1))]. 3087 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1553(a,1),3086(a,1,1,2))]. 3088 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(13(a,1),3087(a,1,1)),flip(a)]. 3090 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1553(a,1),3088(a,1,2)),flip(a)]. 3091 L(K(x,y),x \ 1,x) = K(x,y). [para(3090(a,2),13(a,1))]. 3092 (x \ 1) * K(x,y) = x \ K(x,y). [para(3091(a,1),398(a,1,2)),flip(a)]. 3093 x \ K(x,y) != z * K(x,y) | x \ 1 = z. [para(3092(a,1),20(a,1))]. 3094 K(x,y) * (x \ 1) = x \ K(x,y). [para(3092(a,1),1301(a,2))]. 3095 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(71,a,3094,a)]. 3096 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). [para(2965(a,2),1559(a,1))]. 3097 T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). [para(450(a,1),3096(a,1,2,2))]. 3098 R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). [para(3097(a,1),42(a,2))]. 3099 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(1814(a,1),3098(a,1,1)),flip(a)]. 3100 R(x,y,z) \ R((x \ 1) \ 1,y,z) = K(R(x,y,z),x \ 1). [hyper(71,a,3099,a)]. 3102 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [para(110(a,2),3100(a,1,2,1))]. 3103 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [para(3102(a,1),1292(a,1)),flip(a)]. 3104 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(3102(a,1),2982(a,1,1)),flip(a)]. 3105 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [para(3103(a,2),2959(a,2))]. 3106 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1660(a,2),3105(a,1,2))]. 3107 K(R(x,y,z),x \ 1) \ 1 = x * T(x \ 1,R(x,y,z)). [para(3104(a,1),3035(a,1))]. 3109 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1282(a,1),2672(a,1,1))]. 3110 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(2814(a,1),3109(a,1,1))]. 3111 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(61(a,1),3110(a,2,2))]. 3115 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3111(a,1),2556(a,1,2))]. 3116 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(881(a,1),2866(a,2,1))]. 3117 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [para(2601(a,1),2599(a,1))]. 3118 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)). [para(2628(a,1),2626(a,1))]. 3119 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3039(a,1),2923(a,1,2))]. 3120 L(x,T(y \ 1,z),(y \ 1) \ 1) = L(x,T(1 / y,z),y). [para(3119(a,1),28(a,2)),flip(a)]. 3121 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [para(3041(a,1),2269(a,1)),flip(a)]. 3122 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2494(a,1),2517(a,1,2)),flip(a)]. 3123 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = L(x,y,z \ 1). [para(3122(a,2),28(a,2)),flip(a)]. 3124 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(15(a,1),2867(a,1,1,1))]. 3126 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3124(a,1),20(a,1)),flip(a)]. 3127 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * K(x,(x / (y \ 1)) / x)) / ((x * y) / x). [para(2083(a,1),2160(a,2,1,2))]. 3128 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = ((x * y) / x) / ((x * y) / x). [para(1548(a,1),3127(a,2,1))]. 3129 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = 1. [para(3128(a,2),57(a,1))]. 3131 K(((x * y) / x) \ y,y \ ((x * y) / x)) = 1. [para(3129(a,1),2676(a,1)),flip(a)]. 3132 1 / (((x * y) / x) \ y) = (((x * y) / x) \ y) \ 1. [para(3131(a,1),2073(a,1,2)),flip(a)]. 3133 ((((x * y) / x) \ y) \ 1) \ 1 = ((x * y) / x) \ y. [para(3132(a,1),61(a,1,1))]. 3134 (x \ ((y * x) / y)) \ 1 = ((y * x) / y) \ x. [para(2752(a,1),3133(a,1,1))]. 3135 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (y \ (y * (x * T(x \ 1,y)))) \ 1. [para(1835(a,1),3134(a,1,1,2)),flip(a)]. 3136 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (x * T(x \ 1,y)) \ 1. [para(13(a,1),3135(a,2,1))]. 3138 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = x \ (T(1 / x,y) \ 1). [para(3136(a,2),2737(a,1))]. 3139 (x * (y * T(y \ 1,x))) \ x = y \ (T(1 / y,x) \ 1). [para(1835(a,1),3138(a,1,1))]. 3140 (x * (y * T(y \ 1,x))) \ 1 = x \ (y \ (T(1 / y,x) \ 1)). [para(3139(a,1),2022(a,1,2)),flip(a)]. 3141 x \ (((x * y) \ x) \ (T(1 / ((x * y) \ x),x) \ 1)) = (x * K(y,x)) \ 1. [para(702(a,2),3140(a,1,1,2)),flip(a)]. 3142 x \ (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = (x * K(y,x)) \ 1. [para(2738(a,1),3141(a,1,2))]. 3143 x \ (((x * y) \ (x * T(y,x))) \ 1) = (x * K(y,x)) \ 1. [para(13(a,1),3142(a,1,2,1,2,2,1))]. 3144 x \ (((x * y) \ (y * x)) \ 1) = (x * K(y,x)) \ 1. [para(109(a,1),3143(a,1,2,1,2))]. 3145 (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). [para(26(a,2),3144(a,1,2,1)),flip(a)]. 3146 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2720(a,1),2724(a,1,1))]. 3147 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(2895(a,1),2932(a,1,2)),flip(a)]. 3148 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(2926(a,1),3147(a,1,2))]. 3149 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(13(a,1),3148(a,1,2,1,2,2,1))]. 3150 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(109(a,1),3149(a,1,2,1,2))]. 3151 x * (K(y,x) \ 1) = x / K(y,x). [para(26(a,2),3150(a,1,2,1))]. 3152 x * (K(y,x) \ 1) = K(y,x) \ x. [para(3151(a,2),2917(a,1))]. 3153 (K(x,y) \ y) / (K(x,y) \ 1) = y. [hyper(78,a,3152,a)]. 3154 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3152(a,1),3012(a,1,1))]. 3155 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [para(3153(a,1),3010(a,1)),flip(a)]. 3156 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3155(a,1),690(a,1,2,1))]. 3157 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3154(a,1),14(a,1,2))]. 3158 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3157(a,1),2407(a,1,1)),flip(a)]. 3159 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [para(110(a,1),3156(a,1,2)),flip(a)]. 3160 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [para(110(a,1),3159(a,1,2)),flip(a)]. 3161 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [para(3158(a,2),3160(a,1))]. 3162 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3161(a,1),2212(a,1,2,2))]. 3163 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(467,a,3162,a),flip(a)]. 3165 K(x,(y \ 1) \ 1) = K(x,y). [para(3163(a,2),470(a,1)),flip(a)]. 3166 K(x,1 / y) = K(x,y \ 1). [para(61(a,1),3165(a,1,2,1)),flip(a)]. 3167 K(x,1 / (1 / y)) = K(x,y). [para(129(a,1),3165(a,1,2)),flip(a)]. 3168 K(x,T(y,1 / y)) = K(x,y). [para(1210(a,2),3165(a,1,2))]. 3169 K(x,T(y / z,z / y)) = K(x,y / z). [para(1816(a,2),3165(a,1,2))]. 3170 K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). [para(2263(a,1),3165(a,1,2)),flip(a)]. 3171 K(x,T(y / z,y \ z)) = K(x,y / z). [para(2282(a,2),3165(a,1,2))]. 3172 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(2708(a,1),3165(a,1,2)),flip(a)]. 3173 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3165(a,1),2805(a,2,2))]. 3174 K(K(x,x \ 1) * y,x) = K(y,x). [para(3165(a,1),3031(a,2))]. 3175 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [para(3165(a,1),3032(a,1))]. 3177 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(3166(a,1),2020(a,2,1))]. 3179 (x \ 1) * K(y,x \ 1) = x \ K(y,1 / x). [para(3166(a,2),2805(a,2,2))]. 3181 K(x,(y / (1 / (1 / z))) / y) = K(x,(y / z) / y). [para(2364(a,2),3167(a,1,2))]. 3183 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2117(a,2),3174(a,1,1))]. 3184 K((1 / x) * y,x) = K((x \ 1) * y,x). [para(2542(a,1),3174(a,1,1))]. 3185 K(x * (1 / y),y) = K(x * (y \ 1),y). [para(2633(a,1),3174(a,1,1))]. 3186 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(2531(a,1),3175(a,1,1))]. 3187 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(2542(a,1),3183(a,1,1,1))]. 3188 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [para(3172(a,1),2964(a,2))]. 3189 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [para(3186(a,1),716(a,2))]. 3190 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(2835(a,1),3024(a,2,1))]. 3191 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(95(a,1),1032(a,1,2,1,1))]. 3192 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [para(3191(a,1),747(a,1))]. 3193 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(617(a,1),3192(a,2,2))]. 3194 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(329,a,3193,a),flip(a)]. 3195 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(3194(a,1),903(a,1))]. 3196 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1361(a,1),3195(a,1,1,2)),flip(a)]. 3197 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(3196(a,2),2172(a,1))]. 3198 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(18,a,167,a(flip),b,3197,a)]. 3199 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(61(a,1),3198(a,1,1))]. 3200 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(765(a,1),3199(a,1,2))]. 3201 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(3200(a,1),16(a,1,1))]. 3202 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2232,a,3201,a)]. 3203 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1501(a,1),3202(a,1,1)),flip(a)]. 3204 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(1964(a,2),1962(a,1))]. 3205 (x * (y * K(z,z \ 1))) \ ((K(z,z \ 1) * x) * y) = a(x,K(z,z \ 1),T(y,K(z,z \ 1))). [para(2580(a,1),2629(a,1,2,2))]. 3206 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(61(a,1),3045(a,1,1,3))]. 3207 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2343(a,1),3206(a,1,1))]. 3208 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1203(a,1),2183(a,1,1,2,1))]. 3209 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1602(a,1),3208(a,1,1,2)),flip(a)]. 3211 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(2694(a,1),3209(a,2,1))]. 3212 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(147(a,1),3211(a,2,1))]. 3214 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [para(3212(a,2),269(a,1))]. 3216 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3214(a,1),209(a,1,2)),flip(a)]. 3217 (x \ 1) / (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (x \ 1). [hyper(18,a,190,a,b,3216,a),flip(a)]. 3218 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(95(a,1),1480(a,1,2,1,2,1))]. 3219 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [para(3218(a,1),1017(a,1))]. 3220 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(787(a,1),3219(a,2,2))]. 3221 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(329,a,3220,a),flip(a)]. 3222 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(14(a,1),3221(a,1,2,1)),flip(a)]. 3223 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(3222(a,2),1235(a,2)),flip(a)]. 3224 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1543(a,1),3223(a,1,1))]. 3225 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(104(a,1),1484(a,1,1,1,2,2)),flip(a)]. 3226 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [para(3225(a,2),593(a,1))]. 3227 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [para(3226(a,2),1959(a,1))]. 3228 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(593(a,1),3227(a,1,1))]. 3229 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1534(a,1),3228(a,2,1))]. 3230 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(18,a,104,a,b,3229,a)]. 3231 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(14(a,1),3230(a,1,2,1)),flip(a)]. 3232 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [para(3230(a,1),1540(a,2)),flip(a)]. 3233 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3231(a,2),1235(a,2)),flip(a)]. 3234 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(881(a,1),3233(a,1,1,2,1))]. 3235 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(2959(a,1),3234(a,1,1))]. 3236 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(30(a,2),1516(a,2,2,1,1))]. 3237 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1533(a,1),3236(a,1,1))]. 3238 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1566(a,1),3237(a,1,1,1))]. 3239 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [para(3238(a,1),30(a,2)),flip(a)]. 3240 R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). [para(465(a,1),3239(a,2,1,2))]. 3241 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(3239(a,1),886(a,1))]. 3242 R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). [para(3240(a,1),893(a,1))]. 3243 a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). [para(11(a,1),3242(a,1,1,2,1)),flip(a)]. 3244 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1604(a,1),3241(a,1,1,2)),flip(a)]. 3245 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(18,a,2184,a(flip),b,3244,a)]. 3246 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [para(3245(a,1),3217(a,1)),flip(a)]. 3247 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(61(a,1),3246(a,1,2))]. 3248 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [para(3246(a,1),2013(a,1,2))]. 3249 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(890(a,1),3247(a,1,1))]. 3250 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1587(a,1),3249(a,1,1)),flip(a)]. 3251 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(28(a,2),1536(a,2,2,1,1))]. 3252 (x * y) \ (x * ((y * z) * L((y * z) \ (x \ (x * y)),u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(749(a,1),3251(a,1,2))]. 3253 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(13(a,1),3252(a,1,2,2,2,1,2))]. 3254 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(620(a,1),3253(a,1,2,2))]. 3255 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [para(3254(a,1),28(a,2)),flip(a)]. 3256 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(535(a,1),3255(a,2,1,2))]. 3257 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(775(a,1),3255(a,1,2))]. 3258 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1069(a,1),3256(a,1,2))]. 3259 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(132(a,1),3258(a,2,1,2))]. 3260 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1235(a,2),3259(a,2,1))]. 3261 L(x,y,z) \ L(K(x,x \ 1),y,z) = (1 / x) * (L(x,y,z) \ x). [hyper(71,a,3260,a)]. 3262 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(12(a,1),3257(a,1,2,2)),flip(a)]. 3263 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2168(a,1),3262(a,1,1)),flip(a)]. 3264 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [para(3263(a,2),3224(a,1))]. 3265 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(17,a,1235,a(flip),b,3264,a)]. 3266 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [para(3265(a,1),3203(a,2))]. 3267 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(3266(a,1),59(a,1,2)),flip(a)]. 3268 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(59(a,1),3267(a,1,1,2)),flip(a)]. 3269 L(1 / (1 / (x \ y)),x,1 / x) = 1 / (1 / ((1 / x) * y)). [para(349(a,1),3267(a,2,2,2))]. 3270 T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). [para(3267(a,1),164(a,1,1))]. 3271 ((1 / L(x,y,z)) \ 1) \ (L(1 / (1 / x),y,z) \ (((1 / L(x,y,z)) \ 1) * u)) = (1 / (1 / L(x,y,z))) \ u. [para(3267(a,2),925(a,1,2,1))]. 3272 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(3268(a,1),129(a,1,1,1))]. 3273 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). [para(3268(a,1),3267(a,1,1)),flip(a)]. 3274 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(59(a,1),3272(a,1,1,1,1)),flip(a)]. 3275 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(343(a,1),3274(a,2,1,1))]. 3276 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [para(61(a,1),3270(a,2,1))]. 3277 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(3276(a,1),38(a,1,1)),flip(a)]. 3278 (1 / x) \ (1 / (1 / ((1 / x) * y))) = x * (1 / (1 / (x \ y))). [para(3269(a,1),403(a,1,2))]. 3279 K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). [para(3273(a,1),3167(a,1,2))]. 3280 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(2047(a,2),3275(a,1,1))]. 3281 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [para(3280(a,1),533(a,1)),flip(a)]. 3282 T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(24(a,2),3281(a,1,1))]. 3283 T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(28(a,2),3282(a,1,2,2))]. 3284 T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. [para(24(a,2),3283(a,2,1,1))]. 3285 L(x,y,z) \ (L(1 / (1 / x),y,z) \ (((1 / L(x,y,z)) \ 1) * u)) = (1 / (1 / L(x,y,z))) \ u. [para(61(a,1),3271(a,1,1))]. 3286 L(x,y,z) \ (L(1 / (1 / x),y,z) \ (L(x,y,z) * u)) = (1 / (1 / L(x,y,z))) \ u. [para(61(a,1),3285(a,1,2,2,1))]. 3289 L(x,y,z) \ (L(1 / (1 / x),y,z) \ (L(x,y,z) * u)) = L(1 / (1 / x),y,z) \ u. [para(3267(a,2),3286(a,2,1))]. 3290 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(30(a,2),1622(a,2,2,1,1))]. 3291 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1564(a,1),3290(a,1,1))]. 3292 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1178(a,1),3291(a,1,1,1))]. 3293 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [para(3292(a,1),30(a,2)),flip(a)]. 3294 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(535(a,1),3293(a,2,1,2))]. 3295 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1579(a,1),3293(a,1,2))]. 3296 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(996(a,1),3294(a,1,2))]. 3297 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(132(a,1),3296(a,2,1,2))]. 3298 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1235(a,2),3297(a,2,1))]. 3299 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(12(a,1),3295(a,1,2,2)),flip(a)]. 3300 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3106(a,1),3299(a,1,1)),flip(a)]. 3301 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3103(a,1),3300(a,2,1))]. 3302 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [para(3301(a,2),3235(a,1))]. 3303 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(17,a,1235,a(flip),b,3302,a)]. 3304 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [para(3303(a,1),3250(a,2))]. 3305 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3304(a,1),59(a,1,2)),flip(a)]. 3306 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. [para(125(a,1),3304(a,1,1,1)),flip(a)]. 3307 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2264(a,1),3304(a,1,1,1))]. 3308 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(3306(a,1),61(a,1,1)),flip(a)]. 3309 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(61(a,1),3308(a,1,1,1)),flip(a)]. 3310 R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. [para(420(a,1),3308(a,2,1,1))]. 3311 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3308(a,2),2273(a,1,1))]. 3312 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2342(a,1),3308(a,2,1,1))]. 3313 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(3308(a,2),2687(a,1,2))]. 3314 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3309(a,1),2687(a,1,2)),flip(a)]. 3315 K(R(1 / x,y,z),u) = K(R(x \ 1,y,z),u). [para(3309(a,1),2889(a,1,1)),flip(a)]. 3316 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(520(a,1),3307(a,1,1)),flip(a)]. 3317 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [para(3312(a,1),2362(a,2))]. 3318 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [para(3311(a,1),104(a,1))]. 3319 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2269(a,1),3318(a,2,1))]. 3320 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(3319(a,1),2675(a,1)),flip(a)]. 3321 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(3319(a,1),3121(a,1)),flip(a)]. 3322 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(3308(a,2),3320(a,1,1))]. 3323 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. [para(2820(a,1),3322(a,2,1))]. 3324 (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(3310(a,1),3323(a,1,1))]. 3325 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(2820(a,1),3321(a,2,1))]. 3326 (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(16(a,1),3324(a,1,2,1))]. 3328 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). [para(3326(a,1),2567(a,1))]. 3329 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(2844(a,2),2863(a,2,2,2))]. 3330 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(2218(a,1),889(a,1,1,2))]. 3331 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(16(a,1),3330(a,1,1,2))]. 3333 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(882(a,1),3331(a,1,1)),flip(a)]. 3335 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3333(a,1),3116(a,1,1))]. 3336 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3335(a,1),3076(a,1,2))]. 3337 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [para(3336(a,1),2234(a,1))]. 3338 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3337(a,1),2082(a,1,1))]. 3339 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [para(3338(a,1),3107(a,1)),flip(a)]. 3340 R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(3339(a,1),2181(a,1,1))]. 3341 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [para(3339(a,1),3055(a,2))]. 3342 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3341(a,1),14(a,1,2))]. 3343 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [para(3342(a,2),3305(a,1))]. 3344 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(17,a,1264,a,b,3343,a),flip(a)]. 3345 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [para(3344(a,1),167(a,1)),flip(a)]. 3346 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3344(a,1),1241(a,1,1)),flip(a)]. 3347 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3345(a,1),3325(a,1,1))]. 3348 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(3346(a,2),3337(a,1))]. 3349 R(x,y,z) \ K(R(x,y,z),x \ 1) = 1 / R(x,y,z). [hyper(71,a,3348,a)]. 3350 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3347(a,1),20(a,1))]. 3351 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(2889(a,1),3347(a,1,1))]. 3352 K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). [para(2889(a,1),3340(a,1,1)),flip(a)]. 3353 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(1284(a,1),3351(a,2,1,2))]. 3355 R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). [para(3352(a,1),3344(a,1))]. 3356 R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). [para(3355(a,2),2889(a,1))]. 3357 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3356(a,1),104(a,1,1)),flip(a)]. 3358 L(x,y,K(z,R(z \ 1,y,x))) = x. [hyper(329,a,3357,a)]. 3359 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(18,a,3353,a(flip),b,3357,a)]. 3360 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(18,a,2584,a,b,3359,a)]. 3363 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3360(a,1),3353(a,1,1)),flip(a)]. 3364 L(x,y,K(z,z \ 1)) = x. [para(3360(a,1),3358(a,1,3))]. 3365 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3364(a,1),95(a,1,2))]. 3366 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [para(3364(a,1),97(a,1)),flip(a)]. 3367 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3364(a,1),295(a,1,2)),flip(a)]. 3368 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3364(a,1),386(a,1,2))]. 3370 L(x,y,K(z,1 / z)) = x. [para(1233(a,2),3364(a,1,3))]. 3371 L(x,y,z * (1 / z)) = x. [para(1235(a,1),3364(a,1,3))]. 3372 L(x,y,K(z \ 1,z)) = x. [para(1234(a,1),3364(a,1,3))]. 3373 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3364(a,1),1304(a,1,2)),flip(a)]. 3374 L(x,y,K(z \ u,u \ z)) = x. [para(2064(a,1),3364(a,1,3))]. 3378 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [para(3364(a,1),2644(a,1)),flip(a)]. 3379 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [para(3364(a,1),3118(a,2))]. 3381 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [para(3370(a,1),95(a,1,2))]. 3382 K(x,1 / x) * (1 / y) = K(x,1 / x) / y. [para(3370(a,1),295(a,1,2)),flip(a)]. 3383 ((x * (1 / x)) * y) \ z = y \ ((x * (1 / x)) \ z). [para(3371(a,1),193(a,1)),flip(a)]. 3384 ((x * (1 / x)) \ y) \ z = y \ ((x * (1 / x)) * z). [para(3371(a,1),343(a,1))]. 3385 ((x * (1 / x)) * y) / z = (x * (1 / x)) * (y / z). [para(3371(a,1),386(a,1,2))]. 3386 L(((x * (1 / x)) \ 1) * y,x * (1 / x),x) = T(x,x \ 1) \ (x * y). [para(3371(a,1),2319(a,1,2,2)),flip(a)]. 3387 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3372(a,1),95(a,1,2))]. 3388 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [para(3372(a,1),97(a,1)),flip(a)]. 3389 K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y. [para(3372(a,1),295(a,1,2)),flip(a)]. 3390 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3372(a,1),386(a,1,2))]. 3394 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3372(a,1),2597(a,1,2))]. 3395 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [para(3372(a,1),3049(a,1))]. 3396 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [para(3372(a,1),2647(a,1))]. 3397 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). [para(3372(a,1),3117(a,2))]. 3398 L(x,y,1 / z) = L(x,y,z \ 1). [para(3372(a,1),3123(a,1))]. 3399 (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). [para(3374(a,1),95(a,1,2))]. 3400 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(59(a,1),3398(a,1,3)),flip(a)]. 3401 ((1 / x) * y) * L(z,y,x \ 1) = (1 / x) * (y * z). [para(3398(a,1),95(a,1,2))]. 3402 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [para(3398(a,1),2507(a,2))]. 3403 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [para(3400(a,1),3120(a,1)),flip(a)]. 3404 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [para(3395(a,1),2418(a,2))]. 3405 (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. [para(3367(a,1),2584(a,1)),flip(a)]. 3406 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [para(3373(a,1),2584(a,1)),flip(a)]. 3407 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [para(3389(a,1),2573(a,1)),flip(a)]. 3408 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [para(3403(a,1),97(a,1))]. 3409 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(489(a,1),3406(a,1,1)),flip(a)]. 3411 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [para(3363(a,1),30(a,2,1)),flip(a)]. 3413 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [para(2596(a,1),3363(a,1,1)),flip(a)]. 3414 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [para(2640(a,1),3363(a,1,1)),flip(a)]. 3416 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(361,a,3365,a)]. 3419 (x * (y * K(z,z \ 1))) \ (K(z,z \ 1) * (x * y)) = a(x,K(z,z \ 1),T(y,K(z,z \ 1))). [para(3365(a,1),3205(a,1,2))]. 3420 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [para(3416(a,1),3298(a,2))]. 3422 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2594(a,1),3366(a,1,1)),flip(a)]. 3423 K(x,x \ 1) * (x / y) = ((x \ 1) \ 1) / y. [para(1249(a,1),3368(a,1,1)),flip(a)]. 3424 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3368(a,1),2634(a,1,1))]. 3425 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [para(3423(a,1),2584(a,1)),flip(a)]. 3426 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [para(2594(a,1),3378(a,1,1)),flip(a)]. 3427 (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). [para(3381(a,2),2583(a,1))]. 3428 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3387(a,1),30(a,2,1,1)),flip(a)]. 3429 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(2494(a,1),3388(a,1,1))]. 3430 (K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)). [para(2607(a,1),3388(a,1,2))]. 3431 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3390(a,1),111(a,1,1))]. 3432 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(1313(a,1),3390(a,1,1)),flip(a)]. 3433 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(176(a,1),3432(a,1,2)),flip(a)]. 3434 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3350,a,3394,a)]. 3435 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3394(a,1),24(a,2,1)),flip(a)]. 3436 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3394(a,1),28(a,2,1)),flip(a)]. 3437 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y * K(z \ 1,z),x). [para(3394(a,1),28(a,2,2,2)),flip(a)]. 3439 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [para(3394(a,1),2947(a,1))]. 3440 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3394(a,1),2515(a,1,1))]. 3441 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3434(a,1),884(a,1,2))]. 3442 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [para(3434(a,1),3344(a,2))]. 3445 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(12(a,1),3396(a,2,2))]. 3446 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(1259(a,1),3396(a,2,2))]. 3447 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) = L((y \ 1) * z,K(y,y \ 1),x). [para(3396(a,1),2559(a,1))]. 3448 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [hyper(319,a,3413,a),flip(a)]. 3449 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(2573(a,1),3448(a,1,1))]. 3450 (x * y) \ (K(x,x \ 1) * y) = 1 / (1 / ((x * y) \ y)). [para(3422(a,1),2873(a,1))]. 3451 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [para(3426(a,2),110(a,2))]. 3452 (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). [hyper(18,a,202,a,b,3427,a),flip(a)]. 3454 R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [para(3452(a,1),375(a,2))]. 3455 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)). [para(2354(a,1),3397(a,1,1,2))]. 3456 ((1 / (x * y)) * x) * y = a((x * y) \ 1,x,y). [para(3414(a,1),2546(a,1))]. 3457 a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. [hyper(78,a,3456,a)]. 3460 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3429(a,1),3190(a,1,2,1)),flip(a)]. 3461 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(2523(a,1),3431(a,1,1))]. 3462 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(18,a,2611,a,b,3441,a),flip(a)]. 3464 R(x,y,z) / x = x \ R(x,y,z). [para(3462(a,1),1574(a,1)),flip(a)]. 3465 (x \ R(x,y,z)) * x = R(x,y,z). [para(3464(a,1),16(a,1,1))]. 3467 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3464(a,1),383(a,1,1))]. 3468 T(x,x \ R(x,y,z)) = x. [hyper(230,a,3465,a)]. 3469 T(1 / (1 / ((x * y) \ y)),x) = (x * y) \ y. [para(3450(a,1),1429(a,1,1))]. 3470 1 / T((x * y) \ y,x) = ((x * y) \ y) \ 1. [para(3469(a,1),2261(a,1,1)),flip(a)]. 3471 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [para(3470(a,1),61(a,1,1)),flip(a)]. 3472 (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). [para(2587(a,1),3399(a,1,1))]. 3473 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3467(a,2),2265(a,1,1,1,1))]. 3474 (x * K(y \ z,z \ y)) * (x \ 1) = K(y \ z,z \ y). [hyper(139,a,3472,a(flip)),flip(a)]. 3475 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [para(3411(a,1),3027(a,1))]. 3476 R(x,K(x,x \ 1),y) = x. [para(3475(a,2),2133(a,1))]. 3477 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1282(a,1),3476(a,1,2))]. 3478 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(3477(a,1),2182(a,1,1)),flip(a)]. 3479 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3387(a,1),3428(a,1,1))]. 3480 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [para(3479(a,1),3390(a,1)),flip(a)]. 3481 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(30(a,2),3480(a,1,2)),flip(a)]. 3482 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2544,a,3481,a(flip))]. 3483 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [para(3481(a,2),3042(a,1))]. 3484 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1259(a,1),3482(a,1,2,1))]. 3485 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(2534(a,1),3482(a,1,2,1)),flip(a)]. 3486 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [para(3485(a,2),2584(a,1))]. 3487 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(2946(a,1),3460(a,2,2))]. 3488 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2608(a,1),3483(a,1,1)),flip(a)]. 3489 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(78,a,3488,a)]. 3490 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(14(a,1),3488(a,1,1,2,1)),flip(a)]. 3491 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(16(a,1),3489(a,1,1,1)),flip(a)]. 3492 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(420(a,1),3490(a,2,1,2))]. 3493 R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(3490(a,2),915(a,1,1))]. 3494 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2342(a,1),3490(a,2,1,2))]. 3495 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(3491(a,1),14(a,1,2)),flip(a)]. 3496 R((x \ 1) * (y / (x \ 1)),x,x \ 1) = (x \ 1) * (y * x). [para(408(a,1),3495(a,2,2))]. 3497 R(x * (y / x),x \ 1,x) = x * (y * (1 / x)). [para(2340(a,1),3495(a,2,2))]. 3498 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3495(a,2),3204(a,1,1))]. 3499 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [para(3492(a,1),408(a,1,1))]. 3500 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [para(3494(a,1),2340(a,1,1)),flip(a)]. 3501 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [para(3494(a,1),3053(a,1))]. 3502 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3494(a,1),3207(a,1,1)),flip(a)]. 3503 (x * (y \ T(y,x))) * y = y * x. [para(13(a,1),3501(a,1,1)),flip(a)]. 3504 x * (y \ T(y,x)) = (y * x) / y. [hyper(78,a,3503,a),flip(a)]. 3505 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(18,a,192,a,b,3503,a)]. 3506 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(18,a,109,a(flip),b,3503,a)]. 3507 x \ ((y * x) / y) = y \ T(y,x). [hyper(71,a,3504,a)]. 3508 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(17,a,2813,a,b,3504,a),flip(a)]. 3509 ((x * y) / x) / y = x \ T(x,y). [hyper(17,a,2809,a,b,3504,a),flip(a)]. 3510 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3504(a,1),694(a,1,2))]. 3511 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3504(a,1),2018(a,1,1))]. 3512 (x \ T(x,y)) * y = (x * y) / x. [para(3504(a,1),2796(a,2))]. 3513 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(2834(a,1),3504(a,1,2)),flip(a)]. 3514 ((x * y) / x) \ y = T(x,y) \ x. [para(3504(a,1),2974(a,1,1))]. 3515 (T(x,y) \ x) * ((x * y) / x) = y. [para(3504(a,1),3072(a,1,2))]. 3516 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(71,a,3506,a)]. 3517 T(x,T(y,x)) \ x = y \ T(y,x). [para(3506(a,1),2974(a,1,1)),flip(a)]. 3518 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [para(16(a,1),3507(a,1,2,1)),flip(a)]. 3519 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3507(a,1),354(a,1,1))]. 3520 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3509(a,1),377(a,1,1,1))]. 3521 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3509(a,1),381(a,1,1,1))]. 3522 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. [para(3457(a,2),3512(a,2,1)),flip(a)]. 3523 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(14(a,1),3514(a,1,1,1)),flip(a)]. 3524 (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(3514(a,1),875(a,1,1,2,2)),flip(a)]. 3525 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3514(a,1),1143(a,1,2,2,1))]. 3526 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3126,a,3515,a)]. 3527 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3516(a,2),2832(a,1,1))]. 3528 T(x,T(y,x)) * (y \ T(y,x)) = x. [para(3517(a,1),14(a,1,2))]. 3529 K(x \ (x / (y \ 1)),x) = T(x,T(y,x)) \ x. [para(3517(a,2),707(a,2))]. 3530 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3517(a,1),2776(a,1,1))]. 3531 L(x,y \ T(y,x),y) = x. [para(3528(a,1),3062(a,1)),flip(a)]. 3532 x * (T(x,y) \ (y * (x \ T(x,y)))) = y. [para(3531(a,1),2808(a,2))]. 3533 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(2834(a,1),3530(a,1,1))]. 3534 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(110(a,1),3505(a,1,2,2))]. 3535 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) = L(z,y \ 1,(x * y) / x). [para(3511(a,1),28(a,2,1)),flip(a)]. 3536 T(x,y) \ (y * (x \ T(x,y))) = x \ y. [hyper(71,a,3532,a),flip(a)]. 3537 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(71,a,3534,a)]. 3538 T(x,y) \ ((x * y) / x) = x \ y. [para(3504(a,1),3536(a,1,2))]. 3539 T(x,x \ y) \ (y / x) = x \ (x \ y). [para(3505(a,1),3536(a,1,2))]. 3540 T(x,y) * (x \ y) = (x * y) / x. [para(3538(a,1),14(a,1,2))]. 3541 T(x / y,T(y,x)) = y \ x. [para(3538(a,1),957(a,1)),flip(a)]. 3542 T(x,T(x \ y,y)) = (x \ y) \ y. [para(59(a,1),3541(a,1,1))]. 3543 T(x \ y,T(x,y)) = T(x \ y,x). [para(3541(a,1),163(a,1,1)),flip(a)]. 3544 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(3541(a,1),1658(a,1,1)),flip(a)]. 3545 T(x,x / (x / y)) = T(x,y). [hyper(18,a,1156,a,b,3540,a),flip(a)]. 3546 (x * (x * y)) / x = T(x,x * y) * y. [para(13(a,1),3540(a,1,2)),flip(a)]. 3547 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) = L(z,x \ y,T(x,y)). [para(3540(a,1),28(a,2,1)),flip(a)]. 3548 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(88(a,1),3540(a,1,2))]. 3549 L((x \ y) \ z,x \ y,T(x,y)) = ((x * y) / x) \ (T(x,y) * z). [para(3540(a,1),97(a,2,1))]. 3550 T(x,y) * y = x * ((x * y) / x). [para(3540(a,1),803(a,1,2)),flip(a)]. 3551 T(x,x / y) = T(x,y \ x). [para(59(a,1),3545(a,1,2,2))]. 3552 T(x,(y \ x) \ x) = T(x,y). [para(125(a,1),3545(a,1,2)),flip(a)]. 3553 (x / y) \ T(x,y) = (x * y) / x. [para(3545(a,1),849(a,1,2))]. 3554 (x / T(y,x)) * y = T(x,T(y,x)). [para(3545(a,1),864(a,1)),flip(a)]. 3555 T(x,T(y,x)) * T(y,x) = x * y. [para(3545(a,1),1157(a,1,1))]. 3556 T(x,x / (1 / y)) = T(x,x * y). [para(3545(a,1),1175(a,1)),flip(a)]. 3557 x * ((y * (x \ y)) / y) = T(y,x \ y). [para(3551(a,1),845(a,2))]. 3558 T(T(x,y \ x) / y,x) = x / y. [para(3551(a,1),865(a,1,1,1))]. 3559 T(x,(y \ 1) \ x) = T(x,y * x). [para(3551(a,1),1167(a,1))]. 3560 T(x,T(y,y \ x)) = T(x,y). [para(110(a,2),3552(a,1,2))]. 3561 T(x,T(x \ y,y)) = T(x,x \ y). [para(3542(a,2),110(a,2)),flip(a)]. 3562 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(3543(a,1),109(a,1,2))]. 3563 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(3543(a,2),301(a,1,2,2))]. 3564 T(x,x \ y) * (x \ y) = x * (y / x). [para(14(a,1),3550(a,2,2,1))]. 3565 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,(x * y) / x,x). [para(3550(a,2),1477(a,1,1,1))]. 3566 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(15(a,1),3553(a,1,1)),flip(a)]. 3567 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3556(a,1),1173(a,1,1))]. 3568 T(T(x * y,y) / x,x * y) = (x * y) / x. [para(13(a,1),3558(a,1,1,1,2))]. 3569 T(x,(1 / y) * x) = T(x,y \ x). [para(61(a,1),3559(a,1,2,1)),flip(a)]. 3570 x * (x * T(T(x,x \ (y * x)) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. [para(3539(a,2),1184(a,1,2,2,1))]. 3571 T(T(x,x * y) * y,x) = x * y. [para(3546(a,1),144(a,1,1))]. 3572 T(x,x \ y) \ (x * (y / x)) = x \ y. [hyper(71,a,3564,a)]. 3573 T(x,x \ y) * (x \ y) != x * z | y / x = z. [para(3564(a,2),19(a,1))]. 3574 (x * (y / x)) \ (T(x,x \ y) * ((x \ y) * z)) = L(z,x \ y,T(x,x \ y)). [para(3564(a,1),28(a,2,1)),flip(a)]. 3575 T(x,x \ y) * y = x * (x * (y / x)). [para(3564(a,1),803(a,1,2)),flip(a)]. 3577 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(145(a,1),3519(a,2,2)),flip(a)]. 3578 R(T(x,x * y),y,x) = T(x,T(y,x)). [para(3567(a,2),3554(a,1))]. 3579 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(3578(a,1),162(a,1,2))]. 3580 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(3578(a,1),793(a,1,2)),flip(a)]. 3581 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [para(3508(a,1),912(a,2))]. 3582 K(x,(x / y) / x) = x \ T(x,y \ 1). [para(3508(a,1),1540(a,2))]. 3583 x \ (y * ((z * (y \ x)) / z)) = z \ T(z,(x \ y) \ 1). [para(3508(a,1),1700(a,1)),flip(a)]. 3584 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3508(a,1),1704(a,1,1))]. 3585 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3508(a,1),1948(a,2,2,1))]. 3586 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3508(a,1),1965(a,2,2,1))]. 3588 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [para(3508(a,1),3221(a,1)),flip(a)]. 3589 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3508(a,1),3232(a,1,1))]. 3590 x * K(x,(x / y) / x) = T(x,y \ 1). [para(3582(a,2),14(a,1,2))]. 3591 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(176(a,1),3590(a,1,2,2,1)),flip(a)]. 3592 T(x,x / (x * y)) = T(x,y \ 1). [para(3590(a,1),1547(a,1)),flip(a)]. 3593 (x * ((x / y) / x)) * y = T(x,y \ 1). [para(3592(a,1),1961(a,2))]. 3594 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3592(a,1),1963(a,1,2)),flip(a)]. 3596 T(x,x / (y * x)) = T(x,y \ 1). [para(3592(a,1),2869(a,2))]. 3597 x * (y * ((x \ y) / y)) = T(y,x \ 1). [para(3596(a,1),872(a,2))]. 3598 x \ T(y,x \ 1) = y * ((x \ y) / y). [para(3596(a,1),873(a,1,2))]. 3599 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(78,a,3593,a)]. 3600 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [para(13(a,1),3597(a,1,2,2,1))]. 3601 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(71,a,3598,a(flip))]. 3602 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(61(a,1),3598(a,2,2,1))]. 3603 (x \ y) \ T(y,(x \ y) \ 1) = y * (T(x,x \ y) / y). [para(110(a,2),3598(a,2,2,1))]. 3604 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(285(a,2),3598(a,2,2)),flip(a)]. 3605 R(x \ T(y,x \ 1),y \ 1,y) = y * ((x \ y) * (1 / y)). [para(3598(a,2),3497(a,1,1))]. 3606 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(3598(a,2),3572(a,1,2))]. 3607 T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). [para(59(a,1),3599(a,2,2,1))]. 3608 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(61(a,1),3599(a,1,1,2))]. 3609 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3599(a,2),142(a,2,1))]. 3610 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(111(a,1),3518(a,1,2))]. 3611 x * ((y / x) \ (x \ y)) = y / (y / x). [para(3610(a,2),14(a,1,2))]. 3612 T(x,x \ y) \ x = x \ (y / (y / x)). [para(3610(a,1),3523(a,2))]. 3613 x / (x / y) = y * (T(y,y \ x) \ y). [para(3523(a,2),3611(a,1,2)),flip(a)]. 3614 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(13(a,1),3613(a,2,2,1,2))]. 3615 (T(x,T(y,x)) \ x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3529(a,1),3329(a,1,1))]. 3616 T(x \ T(x * y,y),x) = R(y,x,y). [para(3566(a,1),549(a,2,1)),flip(a)]. 3617 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(18,a,308,a,b,3580,a),flip(a)]. 3618 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3594(a,1),2392(a,2,1,2))]. 3619 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [para(3602(a,1),714(a,1)),flip(a)]. 3620 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(71,a,3608,a(flip))]. 3621 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [para(3614(a,1),855(a,1)),flip(a)]. 3622 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3566(a,1),3617(a,1,1))]. 3623 (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). [para(3621(a,1),61(a,1,1))]. 3624 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3621(a,1),1085(a,2,2,1,2))]. 3625 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(61(a,1),3604(a,2,2,2))]. 3626 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(795(a,1),3513(a,2,2))]. 3627 K(x \ y,T(x,y)) = K(x \ y,x). [para(3544(a,1),3563(a,1))]. 3628 K(x \ (x * y),x) = K(y,T(x,x * y)). [para(13(a,1),3627(a,1,1)),flip(a)]. 3629 K(x,T(y,y * x)) = K(x,y). [para(13(a,1),3628(a,1,1)),flip(a)]. 3631 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [para(3584(a,2),3582(a,1)),flip(a)]. 3632 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3591(a,2),19(a,1))]. 3633 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(17,a,643,a,b,3600,a),flip(a)]. 3634 K(((x / y) \ 1) \ y,(x / y) \ 1) = y \ (x * (y / x)). [para(3619(a,1),88(a,1,2)),flip(a)]. 3635 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(2853(a,1),3631(a,1,2,2,1)),flip(a)]. 3636 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [para(3633(a,1),2654(a,1))]. 3637 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(140(a,2),3636(a,1,2))]. 3638 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [para(3637(a,1),584(a,1,1)),flip(a)]. 3639 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3527(a,1),631(a,1,1))]. 3640 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [para(3589(a,2),3582(a,1))]. 3641 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [para(3500(a,1),1050(a,1)),flip(a)]. 3642 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3582(a,1),3585(a,1,1))]. 3643 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(3508(a,1),3588(a,1,1))]. 3644 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(2957(a,1),3625(a,1,2))]. 3645 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3644(a,1),3188(a,1,2)),flip(a)]. 3646 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [para(3645(a,2),3189(a,1)),flip(a)]. 3647 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3626(a,2),19(a,1))]. 3648 ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [para(3626(a,1),2658(a,2))]. 3649 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [para(3638(a,1),3511(a,1)),flip(a)]. 3650 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [para(3649(a,1),1691(a,1)),flip(a)]. 3651 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(13(a,1),3650(a,1,1,1)),flip(a)]. 3652 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(13(a,1),3651(a,1,1,1)),flip(a)]. 3653 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [para(3457(a,2),3648(a,1,1))]. 3654 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [para(3526(a,1),3402(a,1)),flip(a)]. 3655 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2668(a,1),3654(a,2,1))]. 3656 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [para(3655(a,1),3652(a,1))]. 3657 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(3656(a,1),2734(a,1,2,1))]. 3658 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [para(3487(a,2),209(a,1)),flip(a)]. 3659 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(26(a,2),3639(a,2,1))]. 3660 x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. [para(3493(a,1),104(a,1))]. 3661 x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. [para(624(a,1),3660(a,1,2))]. 3662 (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). [para(109(a,1),3661(a,1,2,2)),flip(a)]. 3663 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [para(3635(a,2),3640(a,2)),flip(a)]. 3664 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3653(a,2),19(a,1))]. 3665 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(2687(a,1),3663(a,2,1,2))]. 3666 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(11(a,1),3502(a,2,1,1,2))]. 3667 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(61(a,1),3666(a,2,2))]. 3668 x * (x * T(T(x,T(y,x)) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. [para(32(a,2),3570(a,1,2,2,1,1,2))]. 3669 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [para(3624(a,1),1393(a,1))]. 3670 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(109(a,1),3669(a,2,1,2))]. 3671 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3514(a,1),3525(a,2,2))]. 3672 ((x * y) / x) \ L(z,T(x,y) \ x,(x * y) / x) = y \ ((T(x,y) \ x) * z). [hyper(71,a,3671,a)]. 3673 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = L((x \ 1) * z,K(x,x \ 1),y). [para(3461(a,2),3447(a,1))]. 3674 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2309(a,1),3618(a,1,1,1))]. 3675 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3425(a,1),3674(a,1,1,1))]. 3676 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(111(a,1),3675(a,1,1))]. 3677 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3601(a,1),3676(a,2,1))]. 3678 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(18,a,2397,a(flip),b,3677,a),flip(a)]. 3679 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [para(3677(a,2),16(a,1))]. 3680 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(3678(a,1),2406(a,1,1))]. 3682 K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. [para(3678(a,1),3363(a,1,1)),flip(a)]. 3683 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(3682(a,1),2533(a,1,2))]. 3684 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(3682(a,1),2550(a,1,1))]. 3685 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3394(a,1),3436(a,1,2))]. 3686 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [para(3440(a,1),3390(a,1)),flip(a)]. 3687 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. [para(523(a,1),3522(a,2,1))]. 3688 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. [para(795(a,1),3687(a,2,1))]. 3689 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). [para(3688(a,2),3662(a,1))]. 3690 ((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x). [hyper(3664,a,3689,a)]. 3691 (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1). [para(59(a,1),3690(a,1,1,1,2)),flip(a)]. 3692 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [para(3691(a,1),3683(a,1))]. 3693 (T(x,T(y,x)) \ x) \ (L(z,y,T(x,T(y,x)) \ x) * T(y,x)) = y * T(z,T(y,x)). [para(3529(a,1),3615(a,1,2,1,3))]. 3694 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [para(3685(a,1),332(a,1)),flip(a)]. 3695 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [para(3694(a,1),3372(a,1))]. 3696 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2573(a,2),3695(a,1,3))]. 3697 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(2539(a,1),3696(a,1,3)),flip(a)]. 3698 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1234(a,1),3409(a,2,2))]. 3699 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(59(a,1),3698(a,1,1))]. 3700 x / T(y,y \ T(x,x \ 1)) = y \ x. [para(3699(a,2),3679(a,1))]. 3701 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(221(a,1),3700(a,1,2,2,2))]. 3702 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(233(a,1),3700(a,1,2,2,2))]. 3703 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [para(3702(a,1),3433(a,1)),flip(a)]. 3706 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(3703(a,1),3413(a,1,2,1))]. 3707 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [para(3706(a,1),2521(a,1)),flip(a)]. 3708 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(3707(a,1),3667(a,1,1))]. 3709 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(3708(a,1),19(a,1))]. 3710 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [para(3708(a,1),3692(a,1)),flip(a)]. 3711 (x * (y * K(z,z \ 1))) \ (K(z,z \ 1) * (x * y)) = a(x,K(z,z \ 1),y). [para(2580(a,1),3419(a,2,3))]. 3712 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3394(a,1),3435(a,1,2,1))]. 3713 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3387(a,1),3712(a,1,2))]. 3714 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [para(3713(a,1),345(a,1)),flip(a)]. 3715 a(x * K(y \ 1,y),z,u) = a(x,z,u). [para(3714(a,1),3372(a,1))]. 3716 a(1 / x,y,z) = a(x \ 1,y,z). [para(547(a,1),3715(a,1,1)),flip(a)]. 3717 ((x * (y * T(y \ T(z,x),y))) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(2007(a,1),3524(a,1,1))]. 3718 ((x * ((y \ T(z,x)) * y)) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(109(a,1),3717(a,1,1,1,2))]. 3719 ((x * ((y \ T(z,x)) * y)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(3514(a,1),3718(a,1,2))]. 3720 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [para(3498(a,1),104(a,1))]. 3721 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [para(3720(a,1),3586(a,1))]. 3722 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3593(a,1),3721(a,1,1)),flip(a)]. 3723 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(2687(a,1),3722(a,1,2,1,2)),flip(a)]. 3724 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(2687(a,1),3723(a,1,1)),flip(a)]. 3725 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(13(a,1),3724(a,1,2,2)),flip(a)]. 3726 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(13(a,1),3725(a,1,2)),flip(a)]. 3727 L(x,y \ T(y,z),y) = x. [hyper(526,a,3726,a)]. 3728 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(78,a,3726,a)]. 3729 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(17,a,803,a,b,3726,a)]. 3730 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(17,a,3575,a(flip),b,3726,a)]. 3731 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(17,a,798,a(flip),b,3726,a)]. 3733 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3516(a,2),3726(a,1,2,1))]. 3735 L(x,y,y \ T(y,z)) = x. [hyper(2962,a,3727,a)]. 3738 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [para(3727(a,1),3059(a,1,2))]. 3739 L(x,T(y,T(z,y)) \ y,z) = x. [para(3517(a,2),3727(a,1,2))]. 3742 L(x,y,T(z,T(y,z)) \ z) = x. [para(3517(a,2),3735(a,1,3))]. 3743 L(x,T(y,z) \ y,(y * z) / y) = x. [para(144(a,1),3739(a,1,2,1,2))]. 3744 (T(x,T(y,x)) \ x) \ (z * T(y,x)) = y * T(z,T(y,x)). [para(3742(a,1),3693(a,1,2,1))]. 3745 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [para(3743(a,1),3672(a,1,2)),flip(a)]. 3746 R(x,x \ T(x,y),z) = x. [para(3728(a,1),102(a,2))]. 3747 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [para(3729(a,1),3642(a,1))]. 3748 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(78,a,3731,a)]. 3749 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [hyper(71,a,3731,a)]. 3753 R(x \ T(x,y),x,z) = x \ T(x,y). [para(3748(a,1),2832(a,2))]. 3754 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3748(a,1),3659(a,1,1)),flip(a)]. 3755 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [para(3753(a,1),2978(a,1)),flip(a)]. 3757 x * ((T(y,x) \ y) * z) != u * z | T(x,T(y,x)) = u. [para(3733(a,2),20(a,1))]. 3758 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(3745(a,1),14(a,1,2))]. 3759 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(2778(a,1),3745(a,1,2))]. 3760 (T(x,y) \ x) * (x * y) = y * x. [para(61(a,1),3758(a,1,2)),flip(a)]. 3761 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [para(3758(a,1),3521(a,2))]. 3762 (x * y) / (y * x) = T(y,x) \ y. [hyper(78,a,3760,a)]. 3763 x * (y * z) != z * y | T(y,z) \ y = x. [para(3760(a,1),20(a,1)),flip(a)]. 3764 T(T(x,y) \ x,x * y) = (x * y) \ (y * x). [para(3760(a,1),32(a,2,2))]. 3765 T(x,y / x) \ x = y / (x * (y / x)). [para(16(a,1),3762(a,1,1)),flip(a)]. 3766 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(16(a,1),3762(a,1,2)),flip(a)]. 3767 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(3762(a,2),2734(a,1,2,1)),flip(a)]. 3768 T(x,(x \ 1) * (y * x)) = T(x,y). [para(3767(a,2),3657(a,1)),flip(a)]. 3769 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1686(a,1),3768(a,1,2))]. 3770 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(3759(a,1),3670(a,1,2,1))]. 3771 K(x,y) = T(T(y,x) \ y,y * x). [para(3764(a,2),26(a,2))]. 3772 T(T(x,x \ y) \ x,y) = K(x \ y,x). [para(14(a,1),3771(a,2,2)),flip(a)]. 3773 T(x \ (y / (y / x)),y) = K(x \ y,x). [para(3612(a,1),3772(a,1,1))]. 3774 (x * (y / x)) / y = (x \ y) \ (y / x). [para(111(a,1),3766(a,1,1)),flip(a)]. 3775 (x * (y / x)) / y = x \ ((x \ y) \ y). [para(3774(a,2),3537(a,1))]. 3776 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [para(3775(a,1),3581(a,1))]. 3777 R(K(x,y),x,z) = K(x,y). [para(3754(a,2),3577(a,2)),flip(a)]. 3779 (K(x,y) * x) * z = K(x,y) * (x * z). [para(3777(a,1),104(a,1,1)),flip(a)]. 3780 L(x,y,K(y,z)) = x. [hyper(329,a,3779,a)]. 3785 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [para(3755(a,1),932(a,1))]. 3787 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(3776(a,1),2842(a,1,1))]. 3788 T(x,x \ (y \ x)) = T(x,y \ 1). [para(3787(a,1),2831(a,1))]. 3789 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(13(a,1),3788(a,1,2,2))]. 3790 T(x,(x / y) \ 1) = T(x,x \ y). [para(61(a,1),3788(a,1,2,2)),flip(a)]. 3791 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(3788(a,1),147(a,1,2))]. 3792 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(3788(a,1),176(a,1,2))]. 3794 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(3788(a,1),3612(a,1,1)),flip(a)]. 3795 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(3788(a,1),3606(a,1,1))]. 3796 (x / y) \ T(x,x \ y) = x * (y / x). [para(3790(a,1),3602(a,1,2))]. 3797 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(61(a,1),3791(a,1,2,2))]. 3798 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(2687(a,1),3792(a,1,2))]. 3799 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(15(a,1),3796(a,2,2))]. 3800 T(x,x \ y) / (x * (y / x)) = x / y. [para(3796(a,1),59(a,1,2))]. 3801 ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). [para(3796(a,1),1442(a,1,1,2,1))]. 3802 ((x \ y) \ y) / (x * (y / x)) = x / y. [para(110(a,1),3800(a,1,1))]. 3803 T(x * y,x \ 1) = ((x * y) \ y) \ y. [para(3789(a,1),110(a,1))]. 3804 x / T(y * x,y \ 1) = (y * x) \ x. [para(3789(a,1),176(a,1,2))]. 3805 T((1 / x) * y,x) = (((1 / x) * y) \ y) \ y. [para(61(a,1),3803(a,1,2))]. 3806 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [para(3803(a,1),2687(a,1)),flip(a)]. 3807 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(32(a,2),3799(a,1,2,2))]. 3808 (((1 / x) * (x * y)) \ (x * y)) \ (x * y) = (1 / x) * (y * x). [para(3805(a,1),647(a,1))]. 3809 ((((x / y) \ 1) * x) \ x) \ x = ((x / y) \ 1) * (y * (x / y)). [para(3806(a,1),1688(a,1))]. 3810 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(2506(a,1),3795(a,2,2))]. 3811 (x * ((y \ x) * y)) / x != x * z | K(((x * y) / x) \ x,y) = z. [para(3770(a,1),19(a,1))]. 3812 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(3785(a,1),3530(a,1,1)),flip(a)]. 3813 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [para(3785(a,1),3518(a,1)),flip(a)]. 3814 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [para(3812(a,2),3533(a,1))]. 3815 T(x,y \ 1) \ x = y * T(y \ 1,x). [para(3813(a,1),3794(a,1)),flip(a)]. 3816 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(3815(a,2),28(a,2,1)),flip(a)]. 3818 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [para(3815(a,2),689(a,1))]. 3819 K(x \ (x / y),x) = T(x,y \ 1) \ x. [para(3815(a,2),703(a,2))]. 3820 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(3815(a,2),1318(a,1,1))]. 3821 T(x,y) \ x = y \ T(y,x). [para(2687(a,1),3818(a,1,1))]. 3822 (x * y) / x = y * (T(y,x) \ y). [para(3821(a,2),3504(a,1,2)),flip(a)]. 3823 T(x,y / x) \ x = x \ (y / (y / x)). [para(3821(a,2),3518(a,1))]. 3824 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(3821(a,2),3726(a,1,2,1))]. 3825 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(3821(a,2),3729(a,1,1)),flip(a)]. 3826 K(x,y) = T(x \ T(x,y),y * x). [para(3821(a,1),3771(a,2,1))]. 3827 T(x * (T(x,y) \ x),y) = x. [para(3822(a,1),144(a,1,1))]. 3828 ((x \ y) * x) / (x \ y) = y / (y / x). [para(3822(a,2),3613(a,2)),flip(a)]. 3829 ((x * y) / x) \ x = y \ ((y * x) / y). [para(3822(a,2),3623(a,1,1))]. 3830 T(x / (x / y),y \ x) = y. [para(3613(a,2),3827(a,1,1))]. 3831 T(T(x / (x / y),z),y \ x) = T(y,z). [para(3830(a,1),38(a,1,1)),flip(a)]. 3832 T(x / (x / (x / y)),y) = x / y. [para(61(a,1),3830(a,1,2))]. 3833 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(3830(a,1),109(a,1,2)),flip(a)]. 3834 (x / y) * T(y,y \ x) = y * (x / y). [para(3830(a,1),310(a,1,1)),flip(a)]. 3836 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [para(3826(a,2),3631(a,2))]. 3838 (x * (y / x)) / x = y / (y / (y / x)). [para(3832(a,1),145(a,1,1,2))]. 3839 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(3832(a,1),539(a,1,1))]. 3840 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(3819(a,2),2776(a,1,1))]. 3841 x / (y * (x / y)) = y \ (x / (x / y)). [para(3823(a,1),3765(a,1)),flip(a)]. 3842 T(x,T(y,x)) = T(x,y). [hyper(3757,a,3824,a)]. 3843 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(17,a,866,a,b,3824,a)]. 3844 T(x,y) * T(y,x) = x * y. [para(2775(a,1),3824(a,1,2)),flip(a)]. 3845 T(x,y) * (y * x) = x * (x * y). [para(3760(a,1),3824(a,1,2)),flip(a)]. 3846 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(3842(a,1),38(a,1,1)),flip(a)]. 3847 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(38(a,1),3842(a,1,2))]. 3848 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(40(a,2),3842(a,1,2))]. 3849 T(x,y / x) = T(x,x \ y). [para(111(a,1),3842(a,1,2)),flip(a)]. 3850 T(x,(x * y) / x) = T(x,y). [para(144(a,1),3842(a,1,2)),flip(a)]. 3852 T(x,y) \ (x * y) = T(y,x). [para(3842(a,1),159(a,2))]. 3853 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(3842(a,1),160(a,1,2,1))]. 3854 (x * y) / T(y,x) = T(x,y). [para(3842(a,1),179(a,1,2))]. 3855 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(3842(a,1),161(a,1,2,1))]. 3856 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(3842(a,1),162(a,1,2,1))]. 3857 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(501(a,1),3842(a,1,2))]. 3858 T(x \ y,x) = ((x \ y) \ y) \ y. [para(3842(a,1),222(a,1))]. 3859 T(x,x \ y) \ y = T(x \ y,x). [para(3842(a,1),232(a,1)),flip(a)]. 3860 x * (T(x,y) \ y) = T(y,x). [para(3842(a,1),821(a,2))]. 3861 T(x,y) \ y = x \ T(y,x). [para(3842(a,1),823(a,1,2)),flip(a)]. 3863 (x / T(y,x)) * y = T(x,y). [para(3842(a,1),3554(a,2))]. 3864 R(T(x,x * y),y,x) = T(x,y). [para(3842(a,1),3578(a,2))]. 3865 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(3842(a,1),3579(a,1,2)),flip(a)]. 3866 x * (x * T(T(x,y) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. [para(3842(a,1),3668(a,1,2,2,1,1))]. 3867 T(x,(x \ 1) * y) = T(x,x \ y). [para(3842(a,1),3769(a,1))]. 3868 (x / (y * x)) \ T(x,y) = x * y. [para(3842(a,1),3807(a,1,2))]. 3869 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [para(3842(a,1),3814(a,1)),flip(a)]. 3870 T(x,y) * (x \ T(y,x)) = y. [hyper(825,a,3844,a)]. 3872 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3844(a,1),24(a,2,2,1)),flip(a)]. 3873 T(x,R(y,z,u)) * R(T(y,x),z,u) = x * R(y,z,u). [para(42(a,2),3844(a,1,2))]. 3875 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(3844(a,1),104(a,1,2))]. 3876 T(x,y) * (T(y,x) * z) != (x * y) * u | L(z,T(y,x),T(x,y)) = u. [para(3844(a,1),329(a,1,1)),flip(a)]. 3877 (x * T(y,z)) * T(z,y) != u * (y * z) | R(x,T(y,z),T(z,y)) = u. [para(3844(a,1),361(a,2,2))]. 3878 (x * (y / x)) / T(x,x \ y) = y / x. [para(3849(a,1),124(a,1,2))]. 3879 T(x,y / x) = (x \ y) \ y. [para(3849(a,2),110(a,1))]. 3880 (x / y) * T(T(y,y \ x),z) = T(y,z) * (x / y). [para(3849(a,1),160(a,1,2,1))]. 3882 R(T(x,y),y / x,x) = T(x,x \ y). [para(3849(a,1),560(a,2))]. 3883 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(3849(a,1),658(a,1,2,2))]. 3884 T(x,T(y,x / y)) = T(x,y). [para(3849(a,2),3560(a,1,2))]. 3885 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(3849(a,2),3620(a,1,2,1))]. 3886 L(T(x,y) \ (x * y),T(x,y),L((x * y) / T(x,y),z,u)) = T((x * y) / T(x,y),T(x,y) * L(T(y,x),z,u)). [para(3852(a,1),1989(a,1,2,2,1)),flip(a)]. 3887 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(42(a,2),3854(a,1,2))]. 3888 (x * y) / T(T(x,y),y) = T(y,T(x,y)). [para(109(a,1),3854(a,1,1))]. 3889 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(3854(a,1),953(a,1,1)),flip(a)]. 3890 T(x,y) / (T(y,x) \ x) = y. [hyper(78,a,3860,a)]. 3891 (T(x,y) \ y) * z = (x \ T(y,x)) * z. [hyper(22,a,3861,a)]. 3892 T(T(x,y),T(x,y) \ y) = (x \ T(y,x)) \ y. [para(3861(a,1),110(a,2,1))]. 3893 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ T(x,y),y). [para(3861(a,2),88(a,1,2,1))]. 3894 T(x / T(y,x),z) * T(y,x) = T(y,x) * T(y \ T(x,y),z). [para(3861(a,1),307(a,2,2,1))]. 3895 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(3861(a,1),84(a,1,1,2,1))]. 3896 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(3861(a,1),1909(a,1,2,1))]. 3897 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(3861(a,1),1956(a,1,2,1))]. 3898 T(x,y) / y = x / T(y,x). [hyper(78,a,3863,a)]. 3899 T(x / T(y,x),y) = y \ T(x,y). [para(3863(a,1),32(a,2,2))]. 3900 (x * (y / x)) * x = y * ((x \ y) \ y). [para(3879(a,1),656(a,2,2))]. 3901 T(x * y,T(y,x)) = T(x * y,y). [para(15(a,1),3884(a,1,2,2))]. 3902 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(38(a,1),3890(a,1,2,1))]. 3903 (T(x,y) / y) \ x = T(y,x). [para(3898(a,2),61(a,1,1))]. 3904 T(x * (y / x),x) = x * (y / T(x,y)). [para(3898(a,1),1047(a,2,2))]. 3905 T(x,y) / T(y,x) = x / T(T(y,x),x). [para(3842(a,1),3898(a,1,1))]. 3906 R(T(x,y),x \ y,x) = T(x,x \ y). [para(14(a,1),3864(a,1,1,2))]. 3907 R(T(x,x * y) * L(T(x,x * y) \ 1,z,u),y,x) = T(x,y) * L(R(T(x,x * y),y,x) \ 1,z,u). [para(3864(a,1),3293(a,1,1)),flip(a)]. 3908 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,T(x,y)). [para(3845(a,1),1475(a,2,2,1)),flip(a)]. 3909 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(40(a,2),3846(a,1,2))]. 3910 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(3842(a,1),3847(a,1,2)),flip(a)]. 3911 x / T(y \ x,y) = (y \ x) \ x. [para(3858(a,2),59(a,1,2))]. 3913 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(3858(a,1),533(a,1,1))]. 3914 T(x,y / x) \ y = T(x \ y,x). [para(3879(a,2),3858(a,2,1)),flip(a)]. 3916 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [para(3859(a,2),3616(a,1))]. 3917 T(x,(1 / x) * y) = T(x,x \ y). [para(3867(a,1),2668(a,2))]. 3918 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(3867(a,1),3658(a,2,1,2))]. 3919 T(x,y) / (x * y) = x / (y * x). [para(3868(a,1),59(a,1,2))]. 3920 R(1 / x,x,y) \ T(y,x) = y * x. [para(143(a,2),3868(a,1,1))]. 3921 T(x / T(y,x),y) = T(y,x) \ x. [para(3899(a,2),3861(a,2)),flip(a)]. 3922 x / T(y,(1 / y) * x) = y \ x. [para(3917(a,2),176(a,1,2))]. 3923 T(x,x \ y) / y = x / ((x \ y) * x). [para(14(a,1),3919(a,1,2))]. 3924 T(x,y) / (x * y) = R(1 / y,y,x). [para(3919(a,2),143(a,2)),flip(a)]. 3925 T(x / T(y,x),z) * y = y * T(T(y,x) \ x,z). [para(3921(a,1),160(a,1,2,1)),flip(a)]. 3926 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(59(a,1),3922(a,1,2,2,1))]. 3927 R(T(x,y),x \ y,x) = (x \ y) \ y. [para(3906(a,2),110(a,1))]. 3928 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [para(3924(a,1),290(a,2))]. 3929 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u). [para(3924(a,1),1515(a,1,1)),flip(a)]. 3930 R(T(T(x,y),z),x \ y,x) = T((x \ y) \ y,z). [para(3927(a,1),42(a,2,1))]. 3931 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [para(3825(a,2),3758(a,2))]. 3932 T(x / (x / y),x) = L(y,y \ x,y). [para(3828(a,1),511(a,1,1))]. 3933 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(3932(a,2),40(a,2,1)),flip(a)]. 3934 L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). [para(59(a,1),3932(a,1,1,2)),flip(a)]. 3935 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(3932(a,2),327(a,1,2))]. 3936 (x * (y \ x)) / (x / y) = (y \ x) * y. [para(3833(a,1),975(a,2))]. 3937 (x / (x / y)) * (y \ x) = (x / y) * (x / (x / y)). [para(221(a,1),3834(a,1,2))]. 3938 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(3838(a,1),608(a,1,1))]. 3939 T(x,(y \ z) / z) = T(x,y \ 1). [para(3869(a,1),3842(a,1))]. 3941 T(x,(y / z) \ 1) = T(x,z / y). [para(61(a,1),3939(a,1,2,1)),flip(a)]. 3942 T(x,((y \ z) / z) \ 1) = T(x,y). [para(59(a,1),3941(a,2,2))]. 3943 T(x,1 / (y / z)) = T(x,z / y). [para(3941(a,1),2686(a,2))]. 3944 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(3941(a,1),3665(a,1,1,2))]. 3945 T(x,1 / (y / (z * y))) = T(x,z). [para(15(a,1),3943(a,2,2))]. 3946 T(x,1 / (x / (x * y))) = T(x,y). [para(3943(a,2),3850(a,1))]. 3947 T(x,1 / R(1 / y,y,z)) = T(x,y). [para(143(a,2),3945(a,1,2,2))]. 3948 (x * y) / T(T(x,y),y) = T(y,x). [para(3888(a,2),3842(a,1))]. 3949 T(x,y) \ (y * x) = T(T(y,x),x). [para(3948(a,1),61(a,1,1))]. 3950 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(40(a,2),3949(a,1,1))]. 3951 T(x * (y / x),x) = x \ (y * ((x \ y) \ y)). [para(3900(a,1),32(a,2,2))]. 3952 (T(x,x \ y) / y) \ x = (x \ y) * x. [para(3923(a,2),61(a,1,1))]. 3953 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(3788(a,1),3923(a,1,1))]. 3954 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [para(3926(a,1),61(a,1,1)),flip(a)]. 3955 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(111(a,1),3928(a,1,3)),flip(a)]. 3956 ((x \ y) * x) * (y / x) = y * (x \ y). [para(3936(a,1),16(a,1,1))]. 3957 (T(x,y \ 1) / (y \ x)) \ x = (x \ (y \ x)) * x. [para(3788(a,1),3952(a,1,1,1))]. 3958 R(x,y,T(x,y)) = R(x,y,x). [hyper(18,a,370,a,b,3865,a),flip(a)]. 3960 x \ T(y * x,y) = R(y,x,y). [para(3958(a,1),861(a,2))]. 3961 L(R(x,y,x),y,x) = x. [para(3958(a,1),863(a,1,1))]. 3962 x * R(y,x,y) = T(y * x,y). [para(3958(a,1),862(a,1,2))]. 3963 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(3842(a,1),3958(a,1,3))]. 3964 (L(x,y,x) * y) * x = x * (y * x). [para(3961(a,1),368(a,1,1)),flip(a)]. 3965 T(x \ T(x * y,y),T(x * y,y)) = y. [para(3961(a,1),3622(a,2))]. 3966 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(14(a,1),3960(a,1,2,1)),flip(a)]. 3967 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(3960(a,1),97(a,1,1)),flip(a)]. 3968 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(3962(a,1),1585(a,1,1))]. 3969 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(3962(a,1),3194(a,2,1))]. 3970 (x * (y * x)) / x = L(x,y,x) * y. [hyper(78,a,3964,a)]. 3971 x * T(y,x * y) = L(y,x,y) * x. [hyper(18,a,946,a,b,3964,a),flip(a)]. 3972 T(L(x,y,x) * y,x) = y * x. [hyper(150,a,3964,a(flip))]. 3973 T(x,L(x,y,x) * y) = T(x,y * x). [para(3972(a,1),3842(a,1,2)),flip(a)]. 3974 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(71,a,3970,a(flip))]. 3975 (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). [para(3970(a,2),508(a,1))]. 3976 L(x,y,(y * x) / y) = L(x,y,x). [hyper(673,a,3971,a)]. 3977 T((x * y) / x,x * y) = L(y,x,y). [hyper(316,a,3971,a)]. 3978 T(x,y * x) = T(x,x * y). [hyper(17,a,503,a,b,3971,a)]. 3979 T(x,(x \ y) * x) = T(x,y). [hyper(17,a,508,a(flip),b,3971,a)]. 3980 T(x,x * (y / x)) = T(x,y). [para(16(a,1),3978(a,1,2)),flip(a)]. 3981 T(T(x,x * y),z) = T(T(x,z),y * x). [para(3978(a,1),38(a,1,1))]. 3982 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [para(3978(a,1),42(a,2))]. 3983 T(x,x * T(y / x,z)) = T(x,x * T(x \ y,z)). [para(307(a,1),3978(a,1,2)),flip(a)]. 3984 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(3978(a,2),506(a,1,2,1))]. 3985 T(x,x * (1 / y)) = T(x,y \ x). [para(3978(a,1),3569(a,1))]. 3986 K(x,T(y,x * y)) = K(x,y). [para(3978(a,2),3629(a,1,2))]. 3987 T(T(x,y),(x \ z) * x) = T(T(x,z),y). [para(3979(a,1),38(a,1,1)),flip(a)]. 3988 ((x \ y) * x) * T(x,y) = x * ((x \ y) * x). [para(3979(a,1),109(a,1,2))]. 3989 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(3979(a,1),3863(a,1,1,2))]. 3990 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(3980(a,1),3870(a,1,1))]. 3991 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(508(a,1),3973(a,1,2))]. 3992 T(x,L(x,y,x) * y) = T(x,x * y). [para(3973(a,2),3978(a,1))]. 3993 T((x * y) / x,L(x,y,x)) = y. [para(3974(a,1),1476(a,1)),flip(a)]. 3994 T(x,L(y,x,y)) = T(x,y). [para(3993(a,1),180(a,1,1)),flip(a)]. 3995 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(3994(a,1),109(a,1,2))]. 3996 T(x,T(y,y * x)) = T(x,y). [para(3994(a,1),3857(a,2))]. 3997 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(3996(a,1),161(a,1,2,1))]. 3998 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(3996(a,1),162(a,1,2,1))]. 3999 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(3992(a,1),1028(a,1,1))]. 4000 T(x,x \ T(x * y,y)) = T(x,y). [para(3965(a,1),3561(a,1,2)),flip(a)]. 4001 T(T(x,y),z * x) = T(T(x,y),x * z). [para(3981(a,1),38(a,1))]. 4002 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(3995(a,1),20(a,1)),flip(a)]. 4003 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [para(3843(a,2),1085(a,1)),flip(a)]. 4004 T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). [para(38(a,1),3853(a,1,2))]. 4005 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(3842(a,1),3902(a,1,2,1))]. 4006 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [para(3910(a,2),3847(a,1))]. 4008 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [para(3931(a,1),1138(a,2))]. 4010 x \ (y * ((x \ y) \ y)) = x * (y / T(x,y)). [para(3951(a,1),3904(a,1))]. 4011 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(3955(a,1),289(a,1,1))]. 4012 T(x,(x \ y) * T(x,y)) = T(x,y). [para(3991(a,2),3979(a,1))]. 4013 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4012(a,1),1027(a,1,1))]. 4014 L(T(x,y),T(z,x),z / T(z,x)) * z = (z / T(z,x)) * (T(x,y) * T(z,x)). [para(4004(a,1),531(a,1,2)),flip(a)]. 4015 R(T(T(x,y),(x \ z) * x),x \ z,x) = T((x \ z) \ z,y). [para(3987(a,2),3930(a,1,1))]. 4017 ((x \ y) / y) * (x * (y / x)) = y / x. [para(4011(a,1),555(a,1,2))]. 4019 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(3867(a,1),3836(a,1,2,2,1))]. 4020 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4019(a,1),14(a,1,2)),flip(a)]. 4021 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3632,a,4020,a)]. 4022 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [para(4021(a,1),3646(a,2))]. 4023 K(x \ ((x \ 1) \ y),x) = K(y,x). [para(4022(a,2),3165(a,1))]. 4024 K((x \ 1) * y,x) = K(x \ y,x). [para(13(a,1),4023(a,1,1,2)),flip(a)]. 4025 K(x \ ((1 / x) \ y),x) = K(y,x). [para(4023(a,1),3186(a,2))]. 4026 K((1 / x) * y,x) = K(x \ y,x). [para(4024(a,1),3184(a,2))]. 4027 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(32(a,2),4026(a,2,1))]. 4028 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(59(a,1),4026(a,1,1,1)),flip(a)]. 4029 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(646(a,1),4027(a,1,1))]. 4030 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [para(4029(a,1),3187(a,1)),flip(a)]. 4031 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(500(a,1),3855(a,1,2))]. 4032 T(x,y) * T(y,y * x) = x * L(y,x,y). [para(4031(a,2),3995(a,1))]. 4033 T(x,y) * z != x * L(y,x,y) | T(y,y * x) = z. [para(4032(a,1),19(a,1)),flip(a)]. 4035 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(3978(a,2),4032(a,1,2))]. 4036 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [para(4035(a,1),510(a,2))]. 4037 L(x,T(y,x),x) = L(x,y,x). [hyper(4002,a,4036,a),flip(a)]. 4038 L(x,y / x,x) = L(x,x \ y,x). [para(111(a,1),4037(a,1,2)),flip(a)]. 4039 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,x \ (x * y),x). [para(4038(a,1),3565(a,2))]. 4040 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(3856(a,1),153(a,1,1,2))]. 4041 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(3864(a,1),3856(a,1,2)),flip(a)]. 4042 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3882(a,1),3856(a,1,2)),flip(a)]. 4043 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3906(a,1),3856(a,1,2)),flip(a)]. 4044 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = (x * (x * T(T(x,y) \ y,z))) / x. [para(3925(a,1),3970(a,1,1,2)),flip(a)]. 4045 T(x / T(y,x),z) * T(y,y * T(T(y,x) \ x,z)) = L(y,T(x / T(y,x),z),y) * T(x / T(y,x),z). [para(3925(a,1),3971(a,1,2,2))]. 4046 (x / y) * (x / (x / y)) = (y \ x) * y. [para(3937(a,1),3833(a,1))]. 4047 ((x \ y) * x) * x = y * (y / (y / x)). [para(4046(a,1),978(a,1,1))]. 4048 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(3861(a,1),4047(a,1,1,1))]. 4049 T(x,y) / ((y \ 1) \ x) = x / ((x \ ((y \ 1) \ x)) * x). [para(2687(a,1),3953(a,1,1))]. 4050 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [para(2687(a,1),3957(a,1,1,1))]. 4051 T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(T(y,x) / x,z)). [para(3861(a,2),3983(a,2,2,2,1)),flip(a)]. 4052 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(18,a,1038,a(flip),b,3989,a)]. 4053 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [para(4052(a,1),16(a,1,1))]. 4055 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1043(a,1),3990(a,1,2))]. 4056 T(x,y) * (y / T(x,y)) = x * (y / x). [para(3898(a,1),4055(a,1,2))]. 4057 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4056(a,1),19(a,1)),flip(a)]. 4058 (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). [para(971(a,1),3887(a,1,2,1))]. 4059 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4000(a,1),3916(a,1,1))]. 4060 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(32(a,1),4059(a,1,1))]. 4061 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(3984(a,1),1633(a,1,1))]. 4062 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [para(4041(a,2),3968(a,1))]. 4063 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4062(a,1),3967(a,1,2))]. 4065 R(x,y / x,x) = R(x,x \ y,x). [hyper(18,a,4042,a,b,4043,a),flip(a)]. 4066 R(x,(x * y) / x,x) = R(x,y,x). [para(13(a,1),4065(a,2,2))]. 4067 R(x,T(y,x),x) = R(x,y,x). [para(145(a,1),4066(a,1,2)),flip(a)]. 4068 R(x,T(y,x),T(x,y)) = R(x,y,x). [para(4067(a,1),3963(a,2))]. 4069 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4068(a,1),46(a,1,1)),flip(a)]. 4070 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [para(4003(a,1),1101(a,1))]. 4071 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [para(3839(a,2),486(a,1))]. 4072 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(3838(a,2),4071(a,1,2))]. 4073 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4069(a,1),3875(a,1,1)),flip(a)]. 4074 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(15(a,1),3944(a,1,1,2,2))]. 4075 R(x \ T(x,y),y,z) = x \ T(x,y). [para(4074(a,1),2918(a,1))]. 4076 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4075(a,1),3520(a,1,1))]. 4077 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(64(a,1),4076(a,1,2))]. 4078 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [para(4076(a,1),3535(a,1)),flip(a)]. 4080 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(110(a,1),4077(a,1,1,2))]. 4081 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(4080(a,1),59(a,1,2))]. 4082 (x * (y / x)) / y = y / ((x \ y) * x). [para(4081(a,2),3775(a,2))]. 4083 T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). [para(145(a,1),4078(a,1,3)),flip(a)]. 4085 L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). [para(4083(a,1),168(a,1)),flip(a)]. 4086 L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). [para(4085(a,1),2565(a,1)),flip(a)]. 4087 ((x \ y) * x) * T((x \ y) \ y,z) = (T(x,z) * (x \ y)) * x. [para(4015(a,1),456(a,1,2))]. 4088 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3729(a,1),3747(a,2,2))]. 4089 (L(x,y,1 / y) \ (y * x)) \ (y * x) = (1 / y) * (x * y). [para(171(a,1),3808(a,1,1,1))]. 4090 T(L(x,y,1 / y),(y * x) / L(x,y,1 / y)) = (1 / y) * (x * y). [para(4089(a,1),3879(a,2))]. 4091 (T(x,y) * (y * x)) / T(x,y) = T(x,y * x) * T(y,x). [para(3889(a,2),3853(a,1))]. 4092 T(T(x,y) \ y,z) = T(x \ T(y,x),z). [hyper(482,a,3894,a)]. 4093 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [para(3918(a,2),3730(a,1))]. 4094 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [para(4053(a,1),4048(a,1,1))]. 4095 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [para(4094(a,1),3988(a,1))]. 4096 x / (x / T(y,x)) = T(x / (x / y),x). [hyper(17,a,3935,a,b,4095,a)]. 4097 T(x / (x / y),x) \ x = x / T(y,x). [para(4096(a,1),61(a,1,1))]. 4098 x / T(y \ x,x) = T(x / y,x) \ x. [para(59(a,1),4097(a,1,1,1,2)),flip(a)]. 4099 L(x,x \ y,x) \ y = y / T(x,y). [para(3932(a,1),4097(a,1,1))]. 4100 T(x,T(x * T(y / x,z),x)) = T(x,x * T(T(x,y) \ y,z)). [para(1377(a,2),4051(a,2,2)),flip(a)]. 4101 ((x \ y) * x) * T(T(x,x \ y),z) = (T(x,z) * (x \ y)) * x. [para(110(a,2),4087(a,1,2,1))]. 4102 T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(y / x,z)). [para(4100(a,1),3842(a,1))]. 4103 T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(x \ y,z)). [para(4102(a,2),3983(a,1))]. 4104 (x * y) * T(T(y,y \ (y * x)),z) = (T(y,z) * (y \ (y * x))) * y. [para(13(a,1),4101(a,1,1,1))]. 4105 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4075(a,1),3761(a,1,1))]. 4106 (T(x,y) \ x) * z = x * (T(x,y) \ z). [para(4105(a,1),3738(a,1))]. 4107 (T(x,y) \ x) * (T(x,y) * z) = x * z. [para(4105(a,1),3749(a,1))]. 4108 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [para(4105(a,2),3825(a,2)),flip(a)]. 4111 x \ (y * (T(y,x) \ z)) = ((y * x) / y) \ z. [para(4106(a,1),3745(a,1,2))]. 4112 x * T(x \ y,z) = z * (T(z,y / x) \ y). [para(4106(a,1),3843(a,1)),flip(a)]. 4113 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [para(4106(a,1),4070(a,1))]. 4114 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [para(4107(a,1),3745(a,1,2)),flip(a)]. 4115 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4107(a,1),3824(a,1,2)),flip(a)]. 4116 T(x,y) * (x \ (T(y,x) * z)) = y * z. [para(4107(a,1),3825(a,2))]. 4117 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [para(3821(a,2),4108(a,1,1))]. 4118 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [para(4115(a,2),95(a,2)),flip(a)]. 4119 x \ T(x * y,z) = z * (T(z,y / (x \ 1)) \ y). [para(4112(a,1),642(a,1)),flip(a)]. 4120 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [para(4114(a,1),3547(a,1))]. 4121 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [para(4120(a,1),96(a,1))]. 4122 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4115(a,1),3872(a,1,1))]. 4123 a(T(x,y),T(y,x),z) = a(x,y,z). [para(4122(a,1),24(a,2)),flip(a)]. 4124 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,x). [para(13(a,1),4039(a,2,2))]. 4125 L(x,y,T(x,y)) = L(x,y,x). [para(4124(a,1),3908(a,1)),flip(a)]. 4126 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [para(4073(a,2),369(a,1))]. 4127 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1004(a,1),4126(a,1,1))]. 4128 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [para(4127(a,1),3968(a,1))]. 4129 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = x. [hyper(71,a,4128,a)]. 4130 x * (x * T(T(x,y) \ y,z)) = (x * T(x \ y,z)) * x. [para(15(a,1),3866(a,1,2,2,1,2))]. 4131 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(3876,a,4118,a)]. 4132 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(111(a,1),4131(a,1,2))]. 4133 L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). [para(3849(a,1),4132(a,1,3))]. 4134 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4006(a,1),4005(a,1,1))]. 4135 T(x,T(y,T(x,z))) = T(x,y). [para(4134(a,1),3902(a,1))]. 4136 T(x,T(y,z)) * T(y,x) = y * T(x,T(y,z)). [para(4135(a,1),109(a,1,2))]. 4138 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(166(a,1),4135(a,1,2,2))]. 4139 T(x,R(y / T(x,z),u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(165(a,1),4135(a,1,2)),flip(a)]. 4143 (x \ T(y,x)) \ (x \ (y * T(x,T(y,z)))) = T(T(x,T(y,z)),x \ T(y,x)). [para(4136(a,1),817(a,1,2,2))]. 4144 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(4138(a,1),3933(a,1,1))]. 4145 L(x,T(y,y \ z) \ 1,y) = L(x,((y \ z) \ z) \ 1,(y \ z) \ z). [para(4086(a,1),2564(a,2)),flip(a)]. 4146 (T(x,y) * (x \ (x * z))) * x = (z * x) * T(T(x,z),y). [para(13(a,1),4104(a,1,2,1,2)),flip(a)]. 4147 (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. [para(13(a,1),4146(a,1,1,2)),flip(a)]. 4148 (x * y) * T(T(y,z),x) = (T(y,z) * x) * y. [para(38(a,1),4147(a,1,2))]. 4149 L(K(x,y) \ T(T(x,y),z),K(x,y),y * x) = (x * y) \ ((T(x,z) * y) * x). [para(4147(a,1),350(a,2,2))]. 4150 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(652,a,4148,a)]. 4151 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [para(3816(a,1),4117(a,1)),flip(a)]. 4152 L(R(x,y,x),y,R(x,y,x)) = x. [para(4063(a,1),4129(a,1))]. 4153 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [para(4151(a,1),4088(a,1)),flip(a)]. 4154 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4116(a,1),4153(a,1,2)),flip(a)]. 4155 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [para(4154(a,2),168(a,1))]. 4157 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [para(4155(a,1),3408(a,1))]. 4158 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4157(a,1),3146(a,2,2))]. 4160 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(61(a,1),4072(a,2,1,2))]. 4161 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [para(3969(a,1),893(a,1))]. 4162 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2574(a,1),4161(a,1,1)),flip(a)]. 4163 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = u / (L(x,y,z) \ u). [para(4162(a,1),897(a,1,1))]. 4165 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(4163(a,2),59(a,1))]. 4166 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(2576(a,1),4165(a,1,1))]. 4167 T(x,R(x * K(y,x),z,u)) = x. [para(4058(a,1),15(a,1))]. 4168 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = ((x * T(x \ y,z)) * x) / x. [para(4130(a,1),4044(a,2,1))]. 4169 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = x * T(x \ y,z). [para(4168(a,2),15(a,1))]. 4170 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(992(a,1),4040(a,1,1))]. 4171 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1014(a,1),4170(a,1,2))]. 4172 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4171(a,1),24(a,2)),flip(a)]. 4173 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4172(a,1),4123(a,2))]. 4174 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(3842(a,1),4173(a,1,1))]. 4175 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3308(a,2),3473(a,1,1))]. 4176 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(3477(a,1),3478(a,2,2,1,1))]. 4177 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [para(4176(a,2),2835(a,1))]. 4179 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(2835(a,1),4177(a,1,1))]. 4180 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(4179(a,1),3006(a,1,1))]. 4181 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(2996(a,1),4180(a,2,1))]. 4183 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(4181(a,1),14(a,1,2))]. 4185 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [para(2573(a,1),4183(a,1,2))]. 4186 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [para(4185(a,1),3729(a,1)),flip(a)]. 4187 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2646(a,1),4186(a,1,2))]. 4188 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [para(4187(a,1),3047(a,1))]. 4189 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(2922(a,1),4188(a,1,1)),flip(a)]. 4190 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4189(a,1),3040(a,1,2))]. 4191 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4190(a,1),204(a,1,1)),flip(a)]. 4192 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [para(4191(a,1),4158(a,2))]. 4193 T((x \ 1) * (x * y),z) = (x \ 1) * (x * T(y,z)). [para(145(a,1),4192(a,1,1,2,2))]. 4194 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [para(4192(a,1),3673(a,1)),flip(a)]. 4196 ((x \ 1) \ 1) * ((x \ 1) * T(y,z)) = T(x * ((1 / x) * y),z). [para(2569(a,1),4193(a,1,1)),flip(a)]. 4197 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [para(14(a,1),4194(a,2,2))]. 4200 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4197(a,1),2560(a,1,2))]. 4201 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4200(a,1),3686(a,1,2)),flip(a)]. 4203 T(x * ((1 / x) * y),z) = x * ((1 / x) * T(y,z)). [para(4196(a,1),2569(a,1))]. 4205 T(x * ((1 / x) * y),y * (z \ 1)) = x * ((1 / x) * T(y,z \ y)). [para(1645(a,1),4203(a,2,2,2))]. 4206 T(x * ((1 / x) * y),y * (z \ 1)) = T(x * ((1 / x) * y),z \ y). [para(4205(a,2),4203(a,2)),flip(a)]. 4208 R(x,K(y \ 1,y),(1 / y) * z) = x. [para(4201(a,2),2607(a,1))]. 4210 R(x,K(y \ 1,y),z) = x. [para(14(a,1),4208(a,1,3))]. 4211 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4210(a,1),104(a,1,1)),flip(a)]. 4212 K(x \ 1,x) * ((y * K(x \ 1,x)) \ z) = y \ z. [para(4210(a,1),248(a,1,1)),flip(a)]. 4213 R(x,K(y,y \ 1),z) = x. [para(1237(a,1),4210(a,1,2))]. 4218 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [para(4213(a,1),104(a,1,1)),flip(a)]. 4219 R(x,y,K(z,z \ 1)) = x. [para(4213(a,1),3475(a,1)),flip(a)]. 4220 R(x,y,K(1 / z,z)) = x. [para(61(a,1),4219(a,1,3,2))]. 4221 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4219(a,1),104(a,1,1)),flip(a)]. 4222 (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). [para(4219(a,1),299(a,1,1)),flip(a)]. 4223 x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). [para(4219(a,1),390(a,1,1))]. 4224 R(x,y,K(z,1 / z)) = x. [para(1233(a,2),4219(a,1,3))]. 4225 R(x,y,z * (1 / z)) = x. [para(1235(a,1),4219(a,1,3))]. 4226 R(x,y,K(z \ 1,z)) = x. [para(1234(a,1),4219(a,1,3))]. 4229 R(x,y,1 / z) = R(x,y,z \ 1). [para(4219(a,1),2461(a,1)),flip(a)]. 4230 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4219(a,1),2627(a,1,1))]. 4231 T(x,y * K(z,z \ 1)) = T(x,y). [para(4219(a,1),3379(a,1))]. 4232 (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). [para(4220(a,1),104(a,1,1)),flip(a)]. 4233 (x * y) \ ((x * (y * z)) * K(1 / u,u)) = L(z,y,x) * K(1 / u,u). [para(4220(a,1),395(a,1,1))]. 4234 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(4224(a,1),104(a,1,1)),flip(a)]. 4235 R(x,y,(z \ 1) * z) = x. [para(59(a,1),4225(a,1,3,2))]. 4236 (x * (y * (1 / y))) / z = x / (z / (y * (1 / y))). [para(4225(a,1),375(a,1)),flip(a)]. 4237 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4226(a,1),104(a,1,1)),flip(a)]. 4238 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4226(a,1),299(a,1,1)),flip(a)]. 4239 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4226(a,1),390(a,1,1))]. 4240 (x * y) * z != x * (y * K(u \ 1,u)) | K(u \ 1,u) = z. [para(4226(a,1),324(a,1,1)),flip(a),flip(b)]. 4241 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [para(4226(a,1),2405(a,1))]. 4242 R(x,y,(z \ 1) \ 1) = R(x,y,z). [para(4226(a,1),2464(a,1))]. 4243 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4226(a,1),2600(a,1,1))]. 4244 T(x,y * K(z \ 1,z)) = T(x,y). [para(4226(a,1),3397(a,1))]. 4245 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [para(4226(a,1),3424(a,1)),flip(a)]. 4246 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [para(4226(a,1),3455(a,1))]. 4248 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2131(a,1),4231(a,1,2))]. 4249 T(x,y * (1 / (1 / z))) = T(x,y * z). [para(2351(a,1),4231(a,1,2)),flip(a)]. 4250 T(x,y * (1 / z)) = T(x,y * (z \ 1)). [para(2401(a,1),4231(a,1,2))]. 4251 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(2635(a,1),4231(a,1,2))]. 4253 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(2638(a,1),4231(a,1,2)),flip(a)]. 4254 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(2639(a,1),4231(a,1,2)),flip(a)]. 4255 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(2640(a,1),4231(a,1,2))]. 4256 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2880(a,1),4231(a,1,2))]. 4257 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [para(4231(a,2),3314(a,1))]. 4258 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4242(a,1),104(a,1,1))]. 4259 T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). [para(2806(a,1),4244(a,1,2)),flip(a)]. 4260 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4246(a,1),4113(a,1,2,1))]. 4261 T((x \ 1) * y,x \ y) = (x \ 1) * y. [para(4253(a,1),488(a,1))]. 4262 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(2740(a,2),4253(a,1,2,1))]. 4263 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(2805(a,1),4255(a,2,2))]. 4264 K((x \ 1) * y,x \ y) = 1. [hyper(36,a,4261,a)]. 4265 (x \ K(y,y \ 1)) * y = (x \ 1) * ((y \ 1) \ 1). [para(4222(a,1),2311(a,1,1))]. 4266 K(x,x \ 1) * (y \ 1) = y \ K(x,x \ 1). [para(4222(a,1),2584(a,2))]. 4267 (x \ K(y \ 1,y)) * K(y,y \ 1) = x \ 1. [hyper(2403,a,4238,a)]. 4268 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [para(4238(a,1),2573(a,2))]. 4270 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [para(4211(a,1),3394(a,1)),flip(a)]. 4271 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [para(2615(a,1),4212(a,1,2,1)),flip(a)]. 4272 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [para(2611(a,1),4212(a,1,2,1))]. 4273 L(x,K(y,y \ 1),z) = x. [hyper(329,a,4218,a)]. 4274 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(4218(a,1),3363(a,1)),flip(a)]. 4275 a(x,K(y,y \ 1),z) = 1. [hyper(34,a,4273,a)]. 4277 L(x,y * (1 / y),z) = x. [para(1235(a,1),4273(a,1,2))]. 4279 (x * (y * (1 / y))) \ z = (y * (1 / y)) \ (x \ z). [para(4277(a,1),193(a,1)),flip(a)]. 4280 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(329,a,4221,a)]. 4285 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(4221(a,1),4231(a,1,2))]. 4288 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [para(4280(a,1),3260(a,2))]. 4289 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(2401(a,1),4285(a,1,2,2))]. 4292 (K(x \ 1,x) * y) \ z = (y \ z) * K(x,x \ 1). [para(4223(a,1),3430(a,2))]. 4294 ((x * (y * K(z,z \ 1))) \ (x * y)) * K(z,z \ 1) = a(x,K(z,z \ 1),y). [para(4230(a,1),3711(a,1))]. 4295 (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). [hyper(18,a,3427,a(flip),b,4234,a)]. 4296 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [para(4234(a,1),2583(a,2))]. 4297 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(2954,a,4237,a)]. 4299 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [para(4237(a,1),2573(a,2))]. 4300 (x * ((y * z) * K(u \ 1,u))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(4237(a,1),2603(a,1,1))]. 4301 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4237(a,1),3394(a,1,1))]. 4302 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4237(a,1),3422(a,1,1))]. 4303 K(L(x,y,z) \ 1,x) = (x \ 1) * x. [para(4297(a,2),167(a,1))]. 4304 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [para(4297(a,1),1068(a,2))]. 4306 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(547(a,1),4239(a,1,2)),flip(a)]. 4307 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [para(4239(a,1),3378(a,2))]. 4308 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(3442(a,1),4306(a,1,2))]. 4309 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4306(a,1),4244(a,1,2)),flip(a)]. 4310 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. [para(11(a,1),4241(a,1,1)),flip(a)]. 4311 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2390(a,1),4241(a,2,2))]. 4312 T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). [para(4310(a,1),3314(a,1,2,1)),flip(a)]. 4313 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [para(4243(a,2),2573(a,2)),flip(a)]. 4314 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2573(a,2),4245(a,1,2))]. 4315 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4237(a,1),4245(a,1,2))]. 4316 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2544,a,4270,a)]. 4319 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(K(z \ 1,z) * u,y,x). [para(4270(a,2),28(a,2,2,2)),flip(a)]. 4320 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4270(a,1),4243(a,1,2))]. 4321 K(x \ 1,x) * ((x * y) \ z) = (((x \ 1) \ 1) * y) \ z. [para(2487(a,1),4271(a,1,1)),flip(a)]. 4323 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4274(a,2),24(a,2,2,1)),flip(a)]. 4325 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(2529(a,1),4274(a,2,2))]. 4326 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2633(a,1),4274(a,2,2))]. 4327 K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). [para(2645(a,1),4274(a,2,2))]. 4328 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(4274(a,1),4230(a,1,2))]. 4329 (x * (1 / x)) \ (x \ y) = T(x,x \ 1) \ y. [para(2318(a,1),4279(a,1,1)),flip(a)]. 4330 T(x,x \ 1) \ (x * y) = (x * (1 / x)) \ y. [para(13(a,1),4329(a,1,2)),flip(a)]. 4331 (x * (1 / x)) \ (T(x,x \ 1) * y) = x * y. [para(4330(a,1),800(a,1))]. 4332 L(((x * (1 / x)) \ 1) * y,x * (1 / x),x) = (x * (1 / x)) \ y. [para(4330(a,1),3386(a,2))]. 4333 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2817(a,1),4299(a,2,2))]. 4334 (((1 / x) \ y) \ z) * K(x \ 1,x) = ((x \ 1) \ y) \ z. [para(2529(a,1),4307(a,1,1)),flip(a)]. 4335 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(4307(a,2),4244(a,1,2))]. 4336 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4274(a,1),4307(a,1,1))]. 4337 T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). [para(2492(a,1),4335(a,1,2,1)),flip(a)]. 4338 T(x,(y * ((z \ 1) \ 1)) \ u) = T(x,(y * z) \ u). [para(2630(a,1),4335(a,1,2,1))]. 4339 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(2633(a,1),4335(a,1,2,1))]. 4340 K(x \ 1,x) * (y \ (z / (x \ 1))) = y \ (z / (1 / x)). [para(2604(a,1),4313(a,1,2)),flip(a)]. 4341 T(x,((y \ 1) * y) \ z) = T(x,z). [para(114(a,1),4338(a,1,2)),flip(a)]. 4342 x \ T(x * (y / x),z) = T(y,z) / x. [para(4260(a,1),4119(a,2))]. 4343 T(x * (y / x),z) = x * (T(y,z) / x). [para(4342(a,1),14(a,1,2)),flip(a)]. 4344 T(x * y,z) / y = y \ T(y * x,z). [para(15(a,1),4342(a,1,2,1,2)),flip(a)]. 4345 (x \ T(x * (y / x),z)) * x = T(y,z). [para(4342(a,2),16(a,1,1))]. 4346 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(59(a,1),4342(a,1,2,1,2))]. 4347 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(4342(a,1),148(a,1,2,2))]. 4350 x \ T(T(x,y) * y,z) = T(x * y,z) / x. [para(3550(a,2),4342(a,1,2,1))]. 4351 (x \ (y / (1 / x))) * x = T(y,x) / (1 / x). [hyper(648,a,4343,a)]. 4353 T(x * (y / x),z) != x * u | T(y,z) / x = u. [para(4343(a,2),19(a,1))]. 4354 T(x * (y / x),y) = x * (y / x). [para(108(a,1),4343(a,2,2,1))]. 4355 (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). [para(59(a,1),4343(a,1,1,2)),flip(a)]. 4357 T(x * (y / x),K(z,y)) = x * (y / x). [para(2783(a,1),4343(a,2,2,1))]. 4358 T(x * (y / x),K(y,z)) = x * (y / x). [para(2896(a,1),4343(a,2,2,1))]. 4359 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(3849(a,1),4343(a,2,2,1))]. 4360 T(x,y * (x / y)) = x. [hyper(35,a,4354,a)]. 4361 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4354(a,2),4082(a,1,1))]. 4362 T(x,(y \ x) * y) = x. [para(59(a,1),4360(a,1,2,2))]. 4363 T((x \ y) * x,y) = (x \ y) * x. [hyper(35,a,4362,a)]. 4364 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4362(a,1),3548(a,1,1)),flip(a)]. 4365 T((x \ y) * x,z) / x = x \ T(y,z). [para(14(a,1),4344(a,2,2,1))]. 4366 (x \ T(x * y,z)) * x = T(y * x,z). [para(4344(a,1),16(a,1,1))]. 4367 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4344(a,1),111(a,1,1))]. 4368 T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z). [para(87(a,1),4344(a,2,2,1))]. 4369 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [para(4344(a,2),642(a,2))]. 4370 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [para(4344(a,1),697(a,1))]. 4371 (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,z). [para(4344(a,1),698(a,2))]. 4372 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(4344(a,1),3641(a,1,2))]. 4373 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). [para(4345(a,1),2547(a,2))]. 4374 T(x * ((1 / (1 / y)) / x),K(z,y)) = x * ((1 / (1 / y)) / x). [para(3167(a,1),4357(a,1,2))]. 4375 T(K(x,y),z * (x / z)) = K(x,y). [hyper(35,a,4358,a)]. 4376 T(K(x * y,z),y * x) = K(x * y,z). [para(15(a,1),4375(a,1,2,2))]. 4378 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(4365(a,1),16(a,1,1)),flip(a)]. 4379 x \ T((x \ y) * x,z) = T(x \ T(y,z),x). [para(4365(a,1),111(a,1,1)),flip(a)]. 4382 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(4366(a,1),3979(a,1,2))]. 4383 K(x * y,z) * (y * x) = (y * x) * K(x * y,z). [para(4376(a,1),109(a,1,2)),flip(a)]. 4384 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4378(a,2),20(a,1))]. 4385 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(4378(a,1),109(a,1,2))]. 4386 T(x,y) \ T((z \ x) * z,y) = K(z \ T(x,y),z). [para(4378(a,2),88(a,1,2))]. 4387 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(4378(a,2),89(a,1,1))]. 4388 ((x * T((y \ z) * y,x)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(4378(a,2),3719(a,1,1,1,2))]. 4389 (x * (1 / x)) * y = y * (x * (1 / x)). [para(130(a,1),4347(a,1,2,2,1)),flip(a)]. 4390 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(111(a,1),4347(a,1,2,2,1)),flip(a)]. 4391 x / (y * (1 / y)) = (y * (1 / y)) \ x. [hyper(241,a,4389,a)]. 4392 (x * (y * (1 / y))) / z = x / ((y * (1 / y)) \ z). [para(4391(a,1),4236(a,2,2))]. 4393 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(3636(a,1),4361(a,1,1,1)),flip(a)]. 4394 K(((x * y) / x) \ x,y) = K(y \ x,y). [hyper(3811,a,4364,a)]. 4395 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(3829(a,1),4394(a,1,1))]. 4396 K(x \ T(y,x),x) = K(x \ y,x). [para(145(a,1),4395(a,1,1,2)),flip(a)]. 4397 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ x,y). [para(4396(a,1),3893(a,2))]. 4399 ((x \ 1) * x) * y = y * ((x \ 1) * x). [para(130(a,1),4385(a,1,2,1,2)),flip(a)]. 4400 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(111(a,1),4385(a,1,2,1,2)),flip(a)]. 4402 T(x,y) * K(y \ x,y) = (T(y,x) \ x) * y. [para(4397(a,1),14(a,1,2))]. 4404 (x \ y) \ T((x \ y) * x,x) = (y * x) / y. [para(4346(a,2),836(a,1))]. 4405 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [para(4359(a,2),4343(a,2)),flip(a)]. 4406 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1421(a,1),4369(a,2,1,1))]. 4407 ((1 / x) / y) * T(((1 / x) / y) \ z,u) = (x \ T(x * (z * y),u)) / y. [para(4371(a,1),1365(a,1,1)),flip(a)]. 4408 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [hyper(2610,a,4373,a),flip(a)]. 4410 T(K(x \ 1,x) * y,z) = K(x \ 1,x) * T(y,z). [para(2532(a,1),4373(a,1,2,1)),flip(a)]. 4411 T(x * K(y \ 1,y),z) = K(y \ 1,y) * T(x,z). [para(2594(a,1),4373(a,1,2,1)),flip(a)]. 4413 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(142(a,2),4390(a,2,2,2,1))]. 4414 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [para(4390(a,1),3720(a,1))]. 4415 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [hyper(78,a,4400,a)]. 4416 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(143(a,2),4400(a,1,1,1,2))]. 4417 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [para(4400(a,1),3499(a,2))]. 4418 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [para(4405(a,1),3941(a,2))]. 4419 T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1) = T(x \ y,z). [para(2492(a,1),4408(a,1,1)),flip(a)]. 4421 x \ T(y * K(z \ 1,z),u) = (x \ T(y,u)) * K(z \ 1,z). [para(4411(a,2),4243(a,1,2))]. 4422 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(13(a,1),4415(a,1,1,2,1,2))]. 4423 (x \ ((y * (x * z)) / y)) * x = (y * (z * x)) / y. [para(13(a,1),4422(a,1,1,2,1)),flip(a)]. 4424 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [para(4422(a,1),3975(a,1))]. 4425 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * ((z * (((x * z) / x) \ y)) / z). [para(4423(a,2),2217(a,2)),flip(a)]. 4426 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(2683(a,1),4263(a,1,2))]. 4428 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4304(a,1),14(a,1,2))]. 4430 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(1242(a,1),4311(a,1,1)),flip(a)]. 4431 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(110(a,1),4333(a,1,2,2))]. 4432 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [hyper(2620,a,4334,a)]. 4433 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [para(4372(a,1),1049(a,2))]. 4434 T(x,T(((y \ 1) \ 1) \ z,u)) = T(x,T(y \ z,u)). [para(4419(a,1),4231(a,1,2)),flip(a)]. 4435 T(x,T((1 / y) \ z,u)) = T(x,T((y \ 1) \ z,u)). [para(61(a,1),4434(a,1,2,1,1,1)),flip(a)]. 4436 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(4428(a,1),2357(a,1,1))]. 4437 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4258(a,1),20(a,1))]. 4438 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(3486(a,2),4257(a,1,2))]. 4439 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [para(4301(a,1),30(a,2,1)),flip(a)]. 4440 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [para(4302(a,1),3437(a,1))]. 4441 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(18,a,2612,a,b,4308,a)]. 4442 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [para(4441(a,2),3248(a,1))]. 4443 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(2541,a,4315,a(flip))]. 4444 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(28(a,2),4320(a,2,1))]. 4445 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) = a(x,y,z * K(u \ 1,u)). [para(4320(a,1),2680(a,1))]. 4446 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [para(4328(a,1),24(a,2)),flip(a)]. 4447 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [para(4433(a,1),4400(a,1)),flip(a)]. 4449 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3367(a,1),4438(a,1,2,1))]. 4450 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [para(2594(a,1),4443(a,1,2,2)),flip(a)]. 4451 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4093(a,1),4393(a,1,2)),flip(a)]. 4452 ((x \ y) * x) / y = y / (x * (y / x)). [para(4363(a,1),4451(a,1,1))]. 4453 ((x \ y) * x) / y = x \ (y / (y / x)). [para(4452(a,2),3841(a,1))]. 4454 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [para(4453(a,1),3710(a,2))]. 4455 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4454(a,1),3684(a,2,2))]. 4456 (x * y) \ (x * ((y * z) * K(1 / u,u))) = L(z,y,x) * K(1 / u,u). [para(4232(a,1),4233(a,1,2))]. 4457 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [para(4444(a,1),4319(a,1)),flip(a)]. 4458 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [para(4457(a,2),2573(a,2)),flip(a)]. 4462 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2607(a,1),4458(a,1,1)),flip(a)]. 4463 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(2610,a,4462,a),flip(a)]. 4464 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(2544,a,4462,a),flip(a)]. 4465 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [para(4462(a,1),3044(a,1)),flip(a)]. 4466 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [hyper(78,a,4465,a),flip(a)]. 4467 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(15(a,1),4465(a,1,1,2,1,2))]. 4469 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(4466(a,1),14(a,1,2)),flip(a)]. 4470 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(14(a,1),4467(a,1,1,2,1)),flip(a)]. 4471 L(x * y,z,u) != w * y | y \ L(y * x,z,u) = w. [para(4467(a,1),20(a,1))]. 4472 L(x * (y / x),y \ 1,y) = x * ((1 / (1 / y)) / x). [para(1267(a,1),4469(a,2,2,1))]. 4473 L((x \ 1) * x,y,z) = (x \ 1) * x. [para(265(a,1),4470(a,2,1,2))]. 4474 L((x \ (y \ (z \ u))) * x,y,z) = (x \ ((z * y) \ u)) * x. [para(193(a,1),4470(a,2,1,2))]. 4475 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(348(a,1),4470(a,2,1,2))]. 4476 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(343(a,1),4470(a,2,1,2))]. 4477 L(x \ L(x,x \ 1,x),y,z) = (x \ 1) * x. [para(398(a,2),4473(a,1,1))]. 4478 L(K(L(x,y,z) \ 1,x),u,w) = (x \ 1) * x. [para(4303(a,2),4473(a,1,1))]. 4479 R(x,y,L(z \ L(z,z \ 1,z),u,w)) = x. [para(4477(a,2),4235(a,1,3))]. 4480 T(x,L(y \ L(y,y \ 1,y),z,u) \ w) = T(x,w). [para(4477(a,2),4341(a,1,2,1))]. 4481 (x * y) * L(z \ L(z,z \ 1,z),u,w) = x * (y * L(z \ L(z,z \ 1,z),u,w)). [para(4479(a,1),104(a,1,1)),flip(a)]. 4482 T(x,L(y \ L(y,y \ 1,y),z,u)) = x. [para(4480(a,1),137(a,1))]. 4483 x / L(y \ L(y,y \ 1,y),z,u) = L(y \ L(y,y \ 1,y),z,u) \ x. [hyper(2126,a,4482,a),flip(a)]. 4484 T(x * ((1 / (1 / y)) / x),K(z,y)) = L(x * (y / x),y \ 1,y). [para(4472(a,2),4374(a,2))]. 4485 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1238(a,1),4463(a,1,1)),flip(a)]. 4486 L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2064(a,1),4463(a,2,2))]. 4487 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(4463(a,2),4223(a,1,2))]. 4488 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(4485(a,1),3445(a,1,1)),flip(a)]. 4489 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(4485(a,1),3446(a,1,1))]. 4490 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(2314(a,1),4464(a,1,1)),flip(a)]. 4491 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [para(4490(a,1),1928(a,1)),flip(a)]. 4492 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(110(a,1),4491(a,2,1))]. 4493 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(71,a,4492,a)]. 4494 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [para(4493(a,1),1295(a,2))]. 4495 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2005,a,4494,a)]. 4496 L(x,y,z) / x = x \ L(x,y,z). [hyper(78,a,4495,a)]. 4497 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(71,a,4495,a)]. 4498 T(x \ L(x,y,z),x) = x \ L(x,y,z). [para(4495(a,1),32(a,2,2))]. 4499 (1 / x) * L(x,y,z) = x \ L(x,y,z). [para(4496(a,1),771(a,2))]. 4500 (x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z). [para(4496(a,1),774(a,1))]. 4501 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(4497(a,1),309(a,1,2,1)),flip(a)]. 4502 K(x \ L(x,y,z),x) = 1. [hyper(36,a,4498,a)]. 4503 L(x,y,z) * (x \ 1) = (1 / x) * L(x,y,z). [para(4499(a,2),901(a,2))]. 4504 T(1 / x,L(x,y,z)) = x \ 1. [hyper(150,a,4503,a)]. 4506 K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1). [para(4504(a,1),3170(a,1,2)),flip(a)]. 4508 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [para(4488(a,1),1073(a,1)),flip(a)]. 4509 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [para(4501(a,1),799(a,1,2))]. 4510 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(4474(a,1),95(a,1,2))]. 4511 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [para(4475(a,1),398(a,1,2)),flip(a)]. 4512 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [para(4511(a,1),4447(a,1)),flip(a)]. 4513 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [para(4512(a,1),16(a,1,1))]. 4514 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [para(4476(a,1),4455(a,1))]. 4515 x * (y \ (x / (x / y))) = (y \ (1 \ x)) * y. [para(12(a,1),4514(a,1,1,2,2)),flip(a)]. 4516 x * (y \ (x / (x / y))) = (y \ x) * y. [para(50(a,1),4515(a,2,1,2))]. 4517 x \ (y / (y / x)) = K(x \ y,x). [hyper(17,a,209,a,b,4516,a)]. 4518 x / (x / y) = y * K(y \ x,y). [para(4517(a,1),14(a,1,2)),flip(a)]. 4520 T(K(x \ y,x),y) = K(x \ y,x). [para(4517(a,1),3773(a,1,1))]. 4521 x / (y * (x / y)) = K(y \ x,y). [para(4517(a,1),3841(a,2))]. 4522 (1 / x) * ((y \ x) * y) = K(y \ x,y). [para(4517(a,1),4454(a,2))]. 4523 (x * y) / ((x * y) / x) = x * K(y,x). [para(13(a,1),4518(a,2,2,1))]. 4524 (x * K(x \ y,x)) * (y / x) = y. [para(4518(a,1),16(a,1,1))]. 4526 (x * K(x \ y,x)) \ y = y / x. [para(4518(a,1),61(a,1,1))]. 4528 x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). [para(4518(a,2),2805(a,1)),flip(a)]. 4529 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4518(a,1),3932(a,1,1))]. 4530 (x / y) * (y * K(y \ x,y)) = (y \ x) * y. [para(4518(a,1),4046(a,1,2))]. 4531 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4396(a,1),4518(a,2,2))]. 4532 T(x,K(y \ x,y)) = x. [hyper(35,a,4520,a)]. 4533 T(x * y,K(y,x)) = x * y. [para(13(a,1),4532(a,1,2,1))]. 4534 K(x,y) \ (x * y) = y * x. [para(4533(a,1),216(a,2))]. 4535 K(x,y) * (y * x) = x * y. [para(4534(a,1),14(a,1,2))]. 4536 K(x,x \ y) \ y = (x \ y) * x. [para(14(a,1),4534(a,1,2))]. 4537 x * (y * z) != z * y | K(z,y) = x. [para(4534(a,1),76(a,1,2)),flip(b)]. 4538 L(x \ (y * z),x,K(z,y)) = (K(z,y) * x) \ (z * y). [para(4534(a,1),193(a,1,1,2))]. 4539 K(x,y) = T(y,x) \ y. [hyper(3763,a,4535,a),flip(a)]. 4540 K(x,x \ y) * ((x \ y) * x) = y. [para(4535(a,2),14(a,1))]. 4541 K(x \ y,x) * y = (x \ y) * x. [para(14(a,1),4535(a,1,2))]. 4542 K(x,y / x) * y = x * (y / x). [para(16(a,1),4535(a,1,2))]. 4543 (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,y * x,K(x,y)). [para(4535(a,1),28(a,2,1)),flip(a)]. 4544 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(95(a,1),4535(a,1,2))]. 4545 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(4535(a,1),332(a,1,1))]. 4546 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(4535(a,1),4368(a,1,1,1))]. 4547 T(x,y) * K(y,x) = x. [para(4539(a,2),14(a,1,2))]. 4548 T(T(x,y),z) \ T(x,z) = K(y,T(x,z)). [para(38(a,1),4539(a,2,1)),flip(a)]. 4549 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(40(a,2),4539(a,2,1)),flip(a)]. 4550 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(42(a,2),4539(a,2,1)),flip(a)]. 4551 T(x,y) = x / K(y,x). [para(4539(a,2),59(a,1,2)),flip(a)]. 4554 ((x \ y) \ y) * K(x \ y,x) = x. [para(4539(a,2),255(a,1,2))]. 4555 K(x,y) = y * (T(y,x) \ 1). [para(4539(a,2),802(a,2)),flip(a)]. 4556 T(x,y) \ 1 = x \ K(y,x). [para(4539(a,2),810(a,1,2)),flip(a)]. 4557 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1646(a,1),4539(a,2,1))]. 4558 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4539(a,2),2725(a,1,2))]. 4559 K(x,y) / y = 1 / T(y,x). [para(4539(a,2),2772(a,1,1))]. 4560 K(x,y) = (1 / T(y,x)) * y. [para(4539(a,2),2773(a,2)),flip(a)]. 4561 K(x,y) = y / T(y,x). [para(4539(a,2),2774(a,2)),flip(a)]. 4562 K(x,y) * T(y,x) = y. [para(4539(a,2),2775(a,1,1))]. 4563 T(x,y) = K(y,x) \ x. [para(4539(a,2),2776(a,1,1)),flip(a)]. 4564 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [para(4539(a,2),2878(a,2))]. 4565 K(x,y) = ((y * x) / y) \ x. [para(4539(a,2),3514(a,2)),flip(a)]. 4566 K(x,y) * ((y * x) / y) = x. [para(4539(a,2),3515(a,1,1))]. 4568 x * (((y * x) / y) \ z) = K(x,y) * z. [para(4539(a,2),3758(a,2,1))]. 4569 ((x * y) / x) \ x = y \ (x * K(y,x)). [para(4539(a,2),3759(a,1,2,2)),flip(a)]. 4570 x * T(x \ 1,y) = K(x \ 1,y). [para(4539(a,2),3815(a,1)),flip(a)]. 4571 K(x,y) = x \ T(x,y). [para(4539(a,2),3821(a,1))]. 4572 (x * y) / x = y * K(x,y). [para(4539(a,2),3822(a,2,2))]. 4573 T(x * K(y,x),y) = x. [para(4539(a,2),3827(a,1,1,2))]. 4574 K(x \ (x / y),x) = K(y \ 1,x). [para(4539(a,2),3819(a,2))]. 4575 x * (K(x,y) * z) = T(x,y) * z. [para(4539(a,2),3824(a,1,2,1))]. 4576 K(x,y) = T(y,T(x,y)) \ y. [para(3842(a,2),4539(a,2,1))]. 4577 T(x,y) * (x \ z) = K(x,y) * z. [para(4539(a,2),3825(a,2,1))]. 4578 K(x * (1 / y),x) = T(x,y \ x) \ x. [para(3985(a,1),4539(a,2,1))]. 4579 K(x / y,z) * x = y * T(y \ x,z). [para(4539(a,2),3843(a,1,1))]. 4580 K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). [para(4539(a,2),3820(a,1,1)),flip(a)]. 4581 x * (T(x,y) \ z) = K(y,x) * z. [para(4539(a,2),4106(a,1,1)),flip(a)]. 4582 K(x,y) * (T(y,x) * z) = y * z. [para(4539(a,2),4107(a,1,1))]. 4584 (x \ y) * K(x,y / x) = y / x. [para(111(a,1),4547(a,1,1))]. 4585 ((x \ y) \ y) * K(y / x,x) = x. [para(3879(a,1),4547(a,1,1))]. 4586 T(x \ T(y,x),z) * K(z,T(x,y) \ y) = T(x,y) \ y. [para(4092(a,1),4547(a,1,1))]. 4587 x * (y * K(x,y)) = T(x,y) * y. [para(4547(a,1),4115(a,1,2)),flip(a)]. 4589 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(3167(a,1),4551(a,2,2)),flip(a)]. 4591 L(T(x,y),T(z,x),z / T(z,x)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(4561(a,2),4014(a,2,1))]. 4592 K(x * K(y,y \ 1),z) = z / T(z,x). [para(4231(a,1),4561(a,2,2))]. 4593 K(x,y / x) * (x \ y) = y / x. [para(111(a,1),4562(a,1,2))]. 4594 K(x,y / x) \ (y / x) = x \ y. [para(4563(a,1),111(a,1))]. 4595 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4563(a,2),2202(a,1,2,1))]. 4596 T(x,x \ (x / y)) = T(x,y \ 1). [para(4563(a,2),3840(a,1))]. 4597 T(x,y) = x * K(x,y). [para(4571(a,2),14(a,1,2)),flip(a)]. 4598 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(40(a,2),4571(a,2,2)),flip(a)]. 4599 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(42(a,2),4571(a,2,2)),flip(a)]. 4602 x \ L(T(x,y),y,x) = K(x,x * y). [para(500(a,2),4571(a,2,2)),flip(a)]. 4603 K(x,y) = T(x,y) * (x \ 1). [para(4571(a,2),693(a,2)),flip(a)]. 4604 (x * y) * T(K(y,x),z) = x * (y * T(K(y,x),z)). [para(4571(a,2),626(a,1,2,2,1)),flip(a)]. 4605 L(L(K(x,y),x,z),z * x,u) = (u * (z * x)) \ (u * (z * T(x,y))). [para(4571(a,2),357(a,1,1,1))]. 4606 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(4571(a,2),933(a,1,1))]. 4607 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1645(a,1),4571(a,2,2))]. 4608 K(x,y) = T(x,y) / x. [para(4571(a,2),2830(a,2)),flip(a)]. 4609 T(x,y) = K(x,y) * x. [para(4571(a,2),2831(a,1,1)),flip(a)]. 4610 K(x,y) = (1 / x) * T(x,y). [para(4571(a,2),2836(a,2)),flip(a)]. 4611 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [para(4571(a,2),2835(a,2)),flip(a)]. 4613 K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). [para(3284(a,1),4571(a,2,2))]. 4614 (x * K(y,x)) * y = y * x. [para(4571(a,2),3503(a,1,1,2))]. 4615 T(x,y) * K(y,T(x,y)) = x. [para(4571(a,2),3506(a,1,2))]. 4616 K(x,y) = ((x * y) / x) / y. [para(4571(a,2),3509(a,2)),flip(a)]. 4617 (x * y) / x = K(x,y) * y. [para(4571(a,2),3512(a,1,1)),flip(a)]. 4618 (x \ y) * K(x,x \ y) = y / x. [para(4571(a,2),3505(a,1,2))]. 4619 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [para(4571(a,2),3508(a,2))]. 4620 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [para(4571(a,2),3631(a,1)),flip(a)]. 4621 x \ (y * ((z * (y \ x)) / z)) = K(z,(x \ y) \ 1). [para(4571(a,2),3583(a,2))]. 4623 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(4571(a,2),3643(a,2))]. 4624 L(x,K(y,z),y) = x. [para(4571(a,2),3727(a,1,2))]. 4625 R(x,K(x,y),z) = x. [para(4571(a,2),3746(a,1,2))]. 4626 K(x,x \ y) * y = x * (y / x). [para(4571(a,2),3730(a,1,1))]. 4627 K(x,y) * (x * z) = T(x,y) * z. [para(4571(a,2),3731(a,1,1))]. 4628 x * (T(x,y) \ z) = K(x,y) \ z. [para(4571(a,2),3738(a,1,1)),flip(a)]. 4629 K(x,y) \ (T(x,y) * z) = x * z. [para(4571(a,2),3749(a,1,1))]. 4630 (x * T(x \ y,z)) / y = K(y / x,z). [para(4571(a,2),3755(a,2))]. 4631 (x / (x / y)) \ L(y,y \ x,y) = K(x / (x / y),x). [para(3932(a,1),4571(a,2,2)),flip(a)]. 4632 K(x,y * K(z,z \ 1)) = x \ T(x,y). [para(4231(a,1),4571(a,2,2))]. 4633 R(T(x,y),K(x,z),u) = T(x,y). [para(4625(a,1),42(a,2,1))]. 4634 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4625(a,1),368(a,1,1,1)),flip(a)]. 4635 (R(x,y,z) * K(x,u)) * w = R(x,y,z) * (K(x,u) * w). [para(4625(a,1),369(a,1,1,1)),flip(a)]. 4637 T(T(x * K(y,x),z),y) = T(x,z). [para(4573(a,1),38(a,1,1)),flip(a)]. 4638 (x * K(y,x)) \ (y * x) = y. [para(4573(a,1),146(a,1,2,2))]. 4640 T(x * K(y,x),z) * y = y * T(x,z). [para(4573(a,1),160(a,1,2,1)),flip(a)]. 4641 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4573(a,1),182(a,1,1,2,1)),flip(a)]. 4642 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(4573(a,1),161(a,1,2,1)),flip(a)]. 4643 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4573(a,1),162(a,1,2,1)),flip(a)]. 4644 T((x * (y * K(z,y))) / x,z) = (x * y) / x. [para(4573(a,1),315(a,1,1,2)),flip(a)]. 4645 T(x * K(y,x),(x * K(y,x)) * y) = L(x,y,x * K(y,x)). [para(4573(a,1),500(a,1,1)),flip(a)]. 4646 T(x * K(y,x),L(x,z,u)) = x * K(y,x). [para(4573(a,1),577(a,1,2,1))]. 4647 ((x * K(y * z,x)) * y) * z = (y * z) * R(x,y,z). [para(4573(a,1),456(a,1,2,1)),flip(a)]. 4648 (x * (y * K(z,y))) * T(y * K(z,y),z) = (x * y) * (y * K(z,y)). [para(4573(a,1),939(a,1,1,2)),flip(a)]. 4649 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(4573(a,1),1860(a,1,2,1)),flip(a)]. 4650 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(4573(a,1),2264(a,1,2,2)),flip(a)]. 4651 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(4573(a,1),2691(a,1,2)),flip(a)]. 4652 T(K(x,y) * y,x) = y. [para(2784(a,2),4573(a,1,1))]. 4653 T(x \ K(y,x \ 1),y) = x \ 1. [para(2805(a,1),4573(a,1,1))]. 4654 T(K(x,y \ 1) / y,x) = 1 / y. [para(3177(a,1),4573(a,1,1))]. 4655 L(x * K(y,x),y,x * K(y,x)) = L(x * K(y,x),y,x). [para(4573(a,1),4125(a,1,3)),flip(a)]. 4656 ((x \ (y * K(z,y))) * x) * z = z * ((x \ y) * x). [para(4573(a,1),4385(a,1,2,1,2)),flip(a)]. 4657 T(x,y) != x * z | K(x,y) = z. [para(4597(a,2),19(a,1))]. 4658 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(4597(a,2),30(a,2,2)),flip(a)]. 4659 T(x,y) * K(T(x,y),z) = T(T(x,z),y). [para(4597(a,1),38(a,1))]. 4660 (x * y) * L(K(y,z),y,x) = x * T(y,z). [para(4597(a,2),95(a,2,2))]. 4661 L(K(x,y) \ z,K(x,y),x) = T(x,y) \ (x * z). [para(4597(a,2),97(a,2,1))]. 4662 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(4597(a,2),105(a,2,1))]. 4663 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [para(4597(a,2),122(a,1,1))]. 4664 (x * y) * z != x * T(y,u) | L(K(y,u),y,x) = z. [para(4597(a,2),329(a,2,2))]. 4665 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(4597(a,2),361(a,2,2))]. 4666 (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). [para(4597(a,2),1560(a,1,1)),flip(a)]. 4667 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(2888(a,1),4597(a,2,2)),flip(a)]. 4668 (x * K(y,z)) \ (x * T(y,z)) = L(y,K(y,z),x). [para(4597(a,2),2903(a,1,2,2))]. 4671 T(x,((y \ z) / z) \ 1) = x * K(x,y). [para(4597(a,1),3942(a,2))]. 4672 (T(x,y) \ y) * K(x \ T(y,x),z) = T(x \ T(y,x),z). [para(4597(a,2),3891(a,2))]. 4673 T(x,T(y,T(x,z))) = x * K(x,y). [para(4597(a,1),4135(a,2))]. 4674 x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). [para(4597(a,1),4250(a,2)),flip(a)]. 4675 (x * K(x,y)) \ x = K(y,x). [para(4597(a,1),4539(a,2,1)),flip(a)]. 4676 K(x,y) \ T(x,y) = x. [para(4608(a,2),61(a,1,1))]. 4678 K(x,y) / T(x,y) = 1 / x. [para(4608(a,2),722(a,1,1))]. 4683 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [para(4609(a,1),38(a,1))]. 4684 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [para(4609(a,1),40(a,2)),flip(a)]. 4685 x * (K(y,x) * y) = y * x. [para(4609(a,1),109(a,1,2))]. 4687 T(x,y) * L(z,x,K(x,y)) = K(x,y) * (x * z). [para(4609(a,2),95(a,1,1))]. 4689 L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z). [para(4609(a,2),97(a,2,2))]. 4690 R(x / K(y,z),K(y,z),y) = (x * y) / T(y,z). [para(4609(a,2),105(a,2,2))]. 4692 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(4609(a,2),157(a,1,1))]. 4693 T(x,y) / L(z,x / z,K(x,y)) = K(x,y) * (x / z). [para(4609(a,2),386(a,1,1))]. 4695 (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. [para(4609(a,2),361(a,2,2))]. 4696 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(4609(a,2),491(a,1,1))]. 4697 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [para(4609(a,2),659(a,1,2,1))]. 4698 (K(x,y) / R(x,z,u)) * x = T(x,y) / R(x,z,u). [para(4609(a,2),1571(a,1,1)),flip(a)]. 4699 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(4555(a,2),28(a,2,2,2)),flip(a)]. 4700 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4555(a,2),96(a,1,2,2)),flip(a)]. 4701 ((x * y) / x) \ 1 = y \ K(y,x). [para(4555(a,2),4111(a,1,2)),flip(a)]. 4702 T(x,y) = 1 / (x \ K(y,x)). [para(4556(a,1),59(a,1,2)),flip(a)]. 4703 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(4556(a,1),1885(a,1,2,1))]. 4704 T(x,y) = (K(y,x) / x) \ 1. [para(4559(a,2),61(a,1,1)),flip(a)]. 4705 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [para(2062(a,1),4559(a,1,1))]. 4706 K(x \ R(x,y,z),x) = (1 / x) * x. [para(3468(a,1),4560(a,2,1,2))]. 4708 K(x,y) = x * (((y * x) / y) \ 1). [para(4565(a,2),1139(a,2)),flip(a)]. 4709 K(x,y) \ x = (y * x) / y. [para(4565(a,2),2856(a,1,1))]. 4710 K(x,y) / x = 1 / ((y * x) / y). [para(4565(a,2),2868(a,1,1))]. 4711 K(x \ y,x) * (y / x) = x \ y. [para(14(a,1),4566(a,1,2,1))]. 4713 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(83(a,1),4566(a,1,2,1))]. 4715 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(3647,a,4572,a)]. 4716 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(21,a,4572,a)]. 4717 x / (x / y) = y * K(x / y,y). [para(16(a,1),4572(a,1,1))]. 4718 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(104(a,1),4572(a,1,1))]. 4719 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4572(a,1),105(a,1,1))]. 4720 (x * y) * K(1 / x,x * y) = L(y,x,1 / x) / (1 / x). [para(171(a,1),4572(a,1,1)),flip(a)]. 4721 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(4572(a,2),377(a,1,2))]. 4722 T(x * K(y * x,x),y) = R(x,y,x). [para(4572(a,1),549(a,2,1)),flip(a)]. 4723 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4572(a,1),578(a,1,1))]. 4724 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4572(a,1),581(a,1,1))]. 4725 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(4572(a,2),86(a,1,2))]. 4726 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(4572(a,1),665(a,1,1,1))]. 4727 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [para(4572(a,2),801(a,1,2))]. 4728 T(x,y) / (y \ x) = y * K(x,y). [para(4572(a,1),836(a,2))]. 4729 (x * K(x * y,x)) * y = T(x * y,x). [para(4572(a,1),838(a,1,1))]. 4730 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4572(a,1),603(a,1,1))]. 4731 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [para(4572(a,2),1134(a,1,2))]. 4732 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(4572(a,1),1149(a,2,1,2))]. 4733 T(x * K(y,x),L(x,z,u) * y) = L(x,y,L(x,z,u)). [para(4572(a,1),1422(a,1,1))]. 4734 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1462(a,1),4572(a,1,1))]. 4735 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(4572(a,1),1475(a,2,1)),flip(a)]. 4736 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1570(a,1),4572(a,1,1))]. 4737 K(x,y) = (1 / y) * ((x * y) / x). [para(4572(a,2),2802(a,1,2)),flip(a)]. 4738 x \ K(y,x \ 1) = (y * (x \ 1)) / y. [para(4572(a,2),2805(a,1)),flip(a)]. 4739 x \ K(y,1 / x) = (y * (x \ 1)) / y. [para(4572(a,2),3179(a,1)),flip(a)]. 4740 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [para(4572(a,2),3173(a,1)),flip(a)]. 4741 x \ T(x * y,y) = y * K(x * y,y). [para(4572(a,1),3566(a,1)),flip(a)]. 4742 L(x,y,x * K(y,x)) = L(x,y,x). [para(4572(a,1),3976(a,1,3))]. 4743 T(x * K(y,x),y * x) = L(x,y,x). [para(4572(a,1),3977(a,1,1))]. 4744 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [para(4572(a,1),4091(a,1))]. 4745 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(4572(a,1),4424(a,1,1,2))]. 4746 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [para(4576(a,2),3744(a,1,1))]. 4747 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(4576(a,2),3822(a,2,2))]. 4748 K(T(x,y),y) = K(x,y). [para(4576(a,2),4539(a,2))]. 4749 K(x \ (y * x),x) = K(y,x). [para(32(a,1),4748(a,1,1))]. 4750 K(x / y,y) = K(y \ x,y). [para(111(a,1),4748(a,1,1)),flip(a)]. 4751 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(110(a,1),4748(a,1,1))]. 4752 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(556(a,1),4748(a,1,1)),flip(a)]. 4754 K(x / (x / y),y \ x) = K(y,y \ x). [para(3830(a,1),4748(a,1,1)),flip(a)]. 4755 K(x * K(y,x),y) = K(x,y). [para(4573(a,1),4748(a,1,1)),flip(a)]. 4756 K(1 / x,y) / x = T(1 / x,y). [hyper(256,a,4603,a(flip))]. 4757 T(x,y) \ K(x,y) = x \ 1. [hyper(71,a,4603,a(flip))]. 4758 (x * T(y,z)) \ (x * K(y,z)) = L(y \ 1,T(y,z),x). [para(4603(a,2),28(a,2,2,2)),flip(a)]. 4759 T(x,y * x) * (x \ 1) = K(x,x * y). [para(3978(a,2),4603(a,2,1)),flip(a)]. 4760 x \ K(x \ 1,y) = T(x \ 1,y). [para(4610(a,2),225(a,1,2))]. 4761 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(18,a,1584,a,b,4614,a)]. 4762 ((x * y) * z) * a(z * K(x * y,z),x,y) = ((z * K(x * y,z)) * x) * y. [para(4614(a,1),83(a,1,1))]. 4763 (x / (x * y)) \ T(x,y * K(x,y)) = x * (y * K(x,y)). [para(4614(a,1),3868(a,1,1,2))]. 4764 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(4614(a,1),4430(a,1,2)),flip(a)]. 4765 K(x,T(y,x)) = K(x,y). [hyper(17,a,4547,a,b,4615,a)]. 4766 K(x,x \ (y * x)) = K(x,y). [para(32(a,1),4765(a,1,2))]. 4767 K(x,T(T(y,x),z)) = K(x,T(y,z)). [para(38(a,1),4765(a,1,2))]. 4768 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(40(a,2),4765(a,1,2))]. 4769 K(x,R(T(y,x),z,u)) = K(x,R(y,z,u)). [para(42(a,2),4765(a,1,2))]. 4770 K(x,y / x) = K(x,x \ y). [para(111(a,1),4765(a,1,2)),flip(a)]. 4771 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(110(a,1),4765(a,1,2))]. 4772 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(165(a,1),4765(a,1,2)),flip(a)]. 4773 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,x * y),x,y)). [para(1024(a,1),4765(a,1,2)),flip(a)]. 4775 K(x,y) \ T(y,x) = T(T(y,x),x). [para(4765(a,1),4563(a,2,1)),flip(a)]. 4776 K(x,y * K(x,y)) = K(x,y). [para(4573(a,1),4765(a,1,2)),flip(a)]. 4777 K(T(x,T(y,x)),T(y,x)) = K(x,y). [para(4765(a,1),4748(a,2))]. 4778 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(681(a,1),4616(a,2,1)),flip(a)]. 4779 (x \ T(x * y,y)) / y = K(x * y,y). [para(3566(a,1),4616(a,2,1)),flip(a)]. 4781 (1 / x) * (T(x,y) * L(T(x,y) \ K(x,y),z,u)) = L(K(x,y) / T(x,y),z,u) * K(x,y). [para(4678(a,1),1506(a,1,1))]. 4782 T(x * T(y,z),u) / ((K(z,y) / y) \ 1) = (K(z,y) / y) * T((K(z,y) / y) \ x,u). [para(4704(a,2),700(a,1,1,1,2))]. 4783 R(K(x,y) \ x,y,z) = ((y * x) * z) / (y * z). [para(4709(a,2),105(a,1,1))]. 4784 T(K(x,y) \ x,z) = (y * T(x,z)) / y. [para(4709(a,2),315(a,2,1)),flip(a)]. 4786 K(x,y) \ x = x * K(y,x). [para(4709(a,2),4572(a,1))]. 4791 x \ (y * (x / y)) = K(y,y \ x). [para(4770(a,1),90(a,2))]. 4792 x * K(y,y \ x) = y * (x / y). [para(4770(a,1),210(a,1,2))]. 4795 K(x,x \ (y \ x)) = K(x,y \ 1). [para(4770(a,1),4021(a,1))]. 4796 K(x,y) \ 1 = K(y,x). [hyper(3077,a,4786,a)]. 4797 x / (x * K(y,x)) = K(x,y). [para(4786(a,1),59(a,1,2))]. 4798 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(4786(a,1),97(a,1,1))]. 4799 x * K(T(y,x),x) = K(x,y) \ x. [para(4748(a,2),4786(a,2,2)),flip(a)]. 4800 K(x,y) * K(y,x) = 1. [para(4796(a,1),14(a,1,2))]. 4801 1 / K(x,y) = K(y,x). [para(4796(a,1),59(a,1,2))]. 4802 x * (K(y,z) * K(z,y)) = x. [para(4796(a,1),54(a,1,2,2))]. 4803 x * K(y,z) != 1 | K(z,y) = x. [para(4796(a,1),76(a,1,2)),flip(b)]. 4804 L(x \ K(y,z),x,K(z,y)) = (K(z,y) * x) \ 1. [para(4796(a,1),193(a,1,1,2))]. 4805 L(L(K(x,y),z,u),K(y,x),w) = L((w * K(y,x)) \ w,z,u). [para(4796(a,1),279(a,1,1,1))]. 4806 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(4796(a,1),1671(a,2,2,1))]. 4807 T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(4796(a,1),1843(a,2,1,2,1))]. 4810 (x * K(y,x)) \ 1 = x \ K(x,y). [para(4796(a,1),3145(a,2,2))]. 4812 K(T(x,y),y) \ 1 = K(y,x). [para(4748(a,2),4796(a,1,1))]. 4813 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(4796(a,1),4603(a,2,2)),flip(a)]. 4815 K(x,y) * z != 1 | K(y,x) = z. [para(4800(a,1),19(a,1)),flip(a)]. 4816 T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. [para(4801(a,1),3317(a,1,2,2))]. 4817 x / (y / (y / x)) = K(x,x \ y). [para(4518(a,2),4797(a,1,2))]. 4818 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4030(a,1),4812(a,1,1))]. 4820 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4633(a,1),369(a,1,1,1)),flip(a)]. 4821 K(x \ y,x) * (x * (y / x)) = y. [para(4521(a,1),16(a,1,1))]. 4822 K(x \ y,x) \ y = x * (y / x). [para(4521(a,1),61(a,1,1))]. 4823 (((x \ 1) \ 1) * K(x \ y,x)) \ y = y / ((x \ 1) \ 1). [para(3032(a,1),4526(a,1,1,2))]. 4824 (x * (1 / x)) \ 1 = (x \ 1) * x. [para(1235(a,1),4536(a,1,1))]. 4826 (x * K(y \ z,y)) * z != u * ((y \ z) * y) | R(x,K(y \ z,y),z) = u. [para(4541(a,1),361(a,2,2))]. 4827 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(4541(a,1),1689(a,2,2))]. 4828 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(4021(a,1),4542(a,1,1))]. 4829 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = L(K(z,y),y \ 1,x). [para(4558(a,1),28(a,2,2,2)),flip(a)]. 4830 (x \ 1) * K(y,x) = x \ K(y,x). [para(4558(a,2),4556(a,1))]. 4832 K((x * y) \ x,x * y) = K(y \ 1,x * y). [para(4570(a,1),705(a,2))]. 4833 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(4570(a,1),651(a,2,2))]. 4834 K(x \ 1,y) * (x \ y) = (y \ (x \ y)) * y. [para(4570(a,1),927(a,2,1)),flip(a)]. 4835 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4570(a,1),926(a,1,1))]. 4836 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [para(4570(a,1),624(a,1)),flip(a)]. 4837 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4570(a,1),1083(a,1,2)),flip(a)]. 4838 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [para(4570(a,1),1084(a,1)),flip(a)]. 4839 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4570(a,1),1107(a,1,1))]. 4840 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [para(4570(a,1),1109(a,1)),flip(a)]. 4841 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(4570(a,1),1182(a,2,1))]. 4842 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4570(a,1),1186(a,2,1))]. 4844 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(4570(a,1),1523(a,2,2))]. 4845 T(1 / x,y) \ 1 = K(x \ 1,y) \ x. [para(4570(a,1),1855(a,1,1)),flip(a)]. 4846 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4570(a,1),1988(a,2,1,2))]. 4847 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4570(a,1),2174(a,1)),flip(a)]. 4848 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4570(a,1),2182(a,1)),flip(a)]. 4850 (x \ (x / y)) * x = (x / y) * K(y \ 1,x). [para(4574(a,1),209(a,1,2)),flip(a)]. 4852 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(4574(a,1),1091(a,1,2))]. 4853 (x / y) * K(((x / y) \ (1 / y)) \ 1,z) = T(x,z) / y. [para(4574(a,1),1101(a,1,2))]. 4854 T(x,y) \ (x * z) = K(x,y) \ z. [hyper(467,a,4575,a)]. 4855 x \ (T(x,y) * z) = K(x,y) * z. [hyper(71,a,4575,a)]. 4856 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(17,a,3931,a,b,4575,a),flip(a)]. 4857 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(17,a,807,a,b,4575,a)]. 4858 K(x,y) * (x * z) = z * T(T(x,z),y). [hyper(17,a,796,a,b,4575,a)]. 4859 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(17,a,4032,a(flip),b,4575,a)]. 4860 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(17,a,3968,a(flip),b,4575,a)]. 4861 T(x,y) * (K(x,y) \ z) = x * z. [para(14(a,1),4575(a,1,2)),flip(a)]. 4862 T(x,y) * z != x * u | K(x,y) * z = u. [para(4575(a,1),19(a,1))]. 4863 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4575(a,1),24(a,2,2,1)),flip(a)]. 4865 (K(x,y) * z) / (x \ z) = T(x,y). [hyper(78,a,4577,a)]. 4866 T(x,y) \ (K(x,y) * z) = x \ z. [hyper(71,a,4577,a)]. 4867 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(28(a,2),4577(a,1,2)),flip(a)]. 4870 K(x,y) * (T(x,y) \ z) = x \ z. [para(4577(a,1),816(a,1))]. 4871 ((x * y) / x) \ (y * z) = K(y,x) * z. [para(4577(a,1),4008(a,2))]. 4872 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [para(4577(a,1),4501(a,1)),flip(a)]. 4873 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4571(a,2),4577(a,1,2)),flip(a)]. 4874 x * (K(x,y) * (x \ z)) = K(x,y) * z. [para(4577(a,1),4575(a,2))]. 4875 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(71,a,4581,a)]. 4877 T(x,y) \ (x * z) = K(y,x) * z. [para(4581(a,1),801(a,2))]. 4878 T(x,y) * (K(y,x) * z) = x * z. [para(4581(a,1),804(a,1,2))]. 4879 K(x,y) * (y \ z) = T(y,x) \ z. [para(4581(a,1),819(a,1))]. 4880 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(4571(a,2),4581(a,1,2)),flip(a)]. 4881 (x * y) / (T(x,z) * y) = K(z,x). [hyper(78,a,4582,a)]. 4882 K(x,y) \ (y * z) = T(y,x) * z. [hyper(71,a,4582,a)]. 4884 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). [para(4582(a,1),332(a,1,1)),flip(a)]. 4885 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(4587(a,1),30(a,2,2)),flip(a)]. 4886 K(x * y,x / (x * y)) * L(y \ 1,y,x) = x / (x * y). [para(142(a,2),4593(a,1,2))]. 4887 (x \ (x / y)) * T(x,y \ 1) = x / y. [para(4596(a,1),147(a,1,2))]. 4888 (x / y) / T(x,y \ 1) = x \ (x / y). [para(4596(a,1),176(a,1,2))]. 4889 ((x / y) / x) * T(x,y \ 1) = x * ((x / y) / x). [para(4596(a,1),3834(a,1,2))]. 4890 (x \ y) \ (y / x) = K(x,x \ y). [hyper(71,a,4618,a)]. 4891 T(x \ y,R(y / x,z,u)) = x \ y. [para(4618(a,1),4167(a,1,2,1))]. 4893 (x * (y / x)) / y = K(x,x \ y). [hyper(78,a,4626,a)]. 4894 (x * K(y,y \ z)) \ (x * (y * (z / y))) = L(z,K(y,y \ z),x). [para(4626(a,1),28(a,2,2,2)),flip(a)]. 4895 R(x,K(y,y \ z),z) * (y * (z / y)) = (x * K(y,y \ z)) * z. [para(4626(a,1),104(a,1,2))]. 4897 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(161(a,1),4627(a,1,2))]. 4898 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(162(a,1),4627(a,1,2))]. 4901 K(x,y) * (K(z,x) * u) = T(x,y) * (T(x,z) \ u). [para(4581(a,1),4627(a,1,2))]. 4902 x \ (K(x,y) \ z) = T(x,y) \ z. [hyper(71,a,4628,a)]. 4903 K(x,y) \ (x \ z) = T(x,y) \ z. [para(4628(a,1),819(a,1))]. 4904 ((x * y) / x) \ z = y \ (K(x,y) \ z). [para(4628(a,1),4111(a,1,2)),flip(a)]. 4905 K(x,y / z) \ y = z * T(z \ y,x). [para(4628(a,1),4112(a,2)),flip(a)]. 4906 K(x,y) \ z = K(y,x) * z. [para(4628(a,1),4581(a,1))]. 4907 K(x,y) * (K(y,x) * z) = z. [hyper(70,a,4906,a)]. 4908 (K(x,y) \ z) / z = K(y,x). [hyper(78,a,4906,a(flip))]. 4909 K(x,y) \ (K(y,x) \ z) = z. [hyper(71,a,4906,a(flip))]. 4910 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [para(4906(a,1),32(a,2)),flip(a)]. 4911 x \ (K(y,z) \ x) = T(K(z,y),x). [para(4906(a,2),32(a,2,2)),flip(a)]. 4912 x / (K(y,z) * x) = K(z,y). [para(4906(a,1),59(a,1,2))]. 4913 K(x,y) \ T(z,K(y,x)) = z * K(y,x). [para(4906(a,2),109(a,1))]. 4914 x * (K(y,z) * u) != u | K(z,y) = x. [para(4906(a,1),76(a,1,2)),flip(b)]. 4915 L(x \ 1,x,K(y,z)) = (K(z,y) \ x) \ K(y,z). [para(4906(a,2),142(a,2,1))]. 4916 (K(x,y) \ z) * L(u,z,K(y,x)) = K(y,x) * (z * u). [para(4906(a,2),95(a,1,1))]. 4917 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(4906(a,1),193(a,1,1))]. 4918 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(4906(a,1),446(a,1,2))]. 4919 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [para(4906(a,1),499(a,1))]. 4920 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(4906(a,1),252(a,1,1,3))]. 4921 K(x,y) * (L(z,K(u,y),K(y,x)) * (K(u,y) * K(y,x))) = K(u,y) * T(z,K(y,x) * K(u,y)). [para(4906(a,1),1725(a,1))]. 4922 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [para(4906(a,2),2791(a,2)),flip(a)]. 4923 K(x,y) * (y \ K(y,x)) = y \ 1. [para(4906(a,1),3095(a,1))]. 4924 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [para(4906(a,1),3395(a,1))]. 4925 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(4906(a,1),3467(a,1,1))]. 4926 K(x,y) \ (z * (1 / z)) = (z * (1 / z)) * K(y,x). [para(4906(a,2),4389(a,2)),flip(a)]. 4928 K(x,y) * z != u | K(y,x) * u = z. [para(4907(a,1),19(a,1)),flip(a)]. 4929 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(4907(a,1),97(a,2,1))]. 4930 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(4907(a,1),104(a,1,2))]. 4931 (K(x,y) \ 1) * (K(x,y) * z) = z. [para(4796(a,2),4907(a,1,1))]. 4932 (x \ 1) / (x \ K(x,y)) = K(y,x). [para(3095(a,1),4908(a,1,1))]. 4935 T(x,y * K(y,z)) = T(x,T(y,z)). [para(4673(a,1),4006(a,1,2))]. 4936 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(4701(a,1),2277(a,1,2))]. 4937 T(x,y \ K(y,z)) = T(x,z / (z * y)). [para(4701(a,1),3941(a,1,2))]. 4938 (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. [para(3970(a,1),4701(a,1,1)),flip(a)]. 4939 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(4708(a,2),986(a,2,2))]. 4940 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(612(a,1),4710(a,2,2))]. 4941 1 / (x * K(y,x)) = K(x,y) / x. [para(4572(a,1),4710(a,2,2)),flip(a)]. 4945 (x * (y / x)) \ x = y \ (y / (y / x)). [para(4717(a,2),1131(a,1,2)),flip(a)]. 4946 T(x * y,y) / T(x,y) = y * K(x * y,y). [para(32(a,2),4728(a,1,2))]. 4948 K(T(x,y),T(y,x)) = K(x,y). [para(3842(a,1),4777(a,1,1))]. 4952 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [para(4791(a,1),3634(a,2))]. 4953 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [para(4343(a,2),4791(a,1,2))]. 4954 x * (y / x) != y * z | K(x,x \ y) = z. [para(4792(a,1),19(a,1))]. 4955 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(4792(a,1),28(a,2,1)),flip(a)]. 4956 x * (K(x \ 1,x) * K(y,y \ (1 / (1 / x)))) = y * ((1 / (1 / x)) / y). [para(4792(a,1),2553(a,2))]. 4957 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). [para(4810(a,1),2977(a,2,2,2))]. 4958 L(((x \ 1) * x) * y,x * (1 / x),x) = (x * (1 / x)) \ y. [para(4824(a,1),4332(a,1,1,1))]. 4959 ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(4830(a,1),30(a,2,2)),flip(a)]. 4960 T(x / y,z) \ x = K(x / y,z) \ y. [para(16(a,1),4854(a,1,2))]. 4961 (T(x,y) * T(K(x,y) \ z,u)) / T(x,y) = T((x * z) / T(x,y),u). [para(4854(a,1),311(a,1,1,2,1))]. 4962 K(x,y) \ K(x,z) = T(x,y) \ T(x,z). [para(4597(a,2),4854(a,1,2)),flip(a)]. 4963 x \ (K(x,y) * z) = K(x,y) * (x \ z). [para(4577(a,1),4855(a,1,2))]. 4964 x \ (T(x,y) * z) = K(y,x) \ z. [para(4855(a,2),4906(a,2)),flip(a)]. 4965 T(x,y) * z != x * u | K(x,y) \ u = z. [para(4861(a,1),19(a,1)),flip(a)]. 4966 K(T(x,y) \ (x * z),u) = K(K(x,y) \ z,u). [para(4861(a,1),480(a,1,1,2))]. 4967 T(x,y) \ (K(y,x) \ z) = x \ z. [para(4906(a,2),4866(a,1,2))]. 4968 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(78,a,4870,a)]. 4969 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(4870(a,1),19(a,1))]. 4971 K(x,y) \ (T(y,x) \ z) = y \ z. [para(4870(a,1),4906(a,2))]. 4974 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(40(a,2),4877(a,1,1))]. 4975 T(x,y) \ (z * x) = K(y,x) * T(z,x). [para(109(a,1),4877(a,1,2))]. 4978 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(4547(a,1),4877(a,1,2)),flip(a)]. 4979 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(4597(a,2),4877(a,1,2))]. 4980 K(x,y) * (y * z) = y * (K(x,y) * z). [para(4877(a,1),4581(a,1,2)),flip(a)]. 4981 K(x,y) * (x / y) = x / T(y,x). [hyper(4057,a,4878,a),flip(a)]. 4982 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(871,a,4878,a)]. 4983 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [para(1938(a,1),4878(a,1,2))]. 4985 K(x,y) * (T(y,x) \ z) = T(T(y,x),x) \ z. [para(4765(a,1),4879(a,1,1))]. 4986 x * (K(y,x) * (x \ z)) = K(y,x) * z. [para(4879(a,2),4581(a,1,2))]. 4988 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(42(a,2),4881(a,1,2,1))]. 4989 T(x \ y,z) * T(x,x \ y) = K(z,x \ y) \ y. [para(147(a,1),4882(a,1,2)),flip(a)]. 4990 ((x \ 1) * x) \ (x * y) = T(x,x \ 1) * y. [para(167(a,1),4882(a,1,1))]. 4991 K(x,y) \ T(y,z) = T(y,x) * K(y,z). [para(4597(a,2),4882(a,1,2))]. 4992 (x \ y) * K(x,x \ y) = (y / x) * 1. [para(4890(a,1),187(a,1,2))]. 4994 T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). [para(4343(a,2),4893(a,1,1))]. 4995 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(4911(a,1),1448(a,1,2,2,1))]. 4996 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(4911(a,1),1594(a,1,2,2,1))]. 4997 L(x,K(y,z) \ 1,K(y,z)) = x. [hyper(1697,a,4931,a)]. 4999 L(x,K(y,z),K(z,y)) = x. [para(4796(a,1),4997(a,1,2))]. 5000 L(K(x,y) \ z,K(u,w),K(w,u)) = K(y,x) * z. [para(4999(a,2),4906(a,1))]. 5002 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(4936(a,1),160(a,1,2,1))]. 5003 (K(x,y) / x) \ 1 = x * K(y,x). [para(4941(a,1),61(a,1,1))]. 5004 1 / ((x \ 1) * K(y,x \ 1)) = K(1 / x,y) / (x \ 1). [para(2888(a,2),4941(a,2,1))]. 5005 K(1 / x,y) / (1 / x) = 1 / (K(y,x \ 1) / x). [para(3177(a,1),4941(a,1,2)),flip(a)]. 5007 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(40(a,2),4968(a,1,2,1))]. 5008 K(x,y) \ (y \ z) = y \ (K(x,y) \ z). [para(4967(a,1),4971(a,1,2))]. 5009 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(4981(a,1),95(a,1,1))]. 5010 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(4981(a,1),128(a,1,2,1))]. 5011 K(x \ R(x,y,z),x) = (x \ K(x,x \ 1)) * x. [para(1236(a,2),4706(a,2,1))]. 5012 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(3177(a,1),4722(a,1,1))]. 5013 T(x,x * y) * K(y,x) = L(x,y,x). [para(4859(a,1),2788(a,2))]. 5014 K(x,y) \ T(x,x * y) = L(x,y,x). [para(4859(a,1),4906(a,2))]. 5015 T(x,y) * K(x * y,x) = R(x,y,x). [para(4860(a,1),2788(a,2))]. 5016 K(x,x * y) \ T(x,y) = R(x,y,x). [para(4860(a,1),4906(a,2))]. 5017 T(x,x * y) \ T(x,y) = x \ R(x,y,x). [para(4860(a,1),4875(a,1,2)),flip(a)]. 5018 K(x,y) = T(y,y * x) \ L(y,x,y). [hyper(71,a,5013,a),flip(a)]. 5019 T(x,y \ x) * K(y \ 1,x) = L(x,y \ 1,x). [para(1645(a,1),5013(a,1,1))]. 5020 K(x,x * y) * K(y,x) = x \ L(x,y,x). [para(5013(a,1),4855(a,1,2)),flip(a)]. 5021 K(x,y) \ T(x,y * x) = L(x,y,x). [para(3978(a,2),5014(a,1,2))]. 5022 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(5015(a,1),28(a,2,2,2)),flip(a)]. 5023 K(x,y) * K(x * y,x) = x \ R(x,y,x). [para(5015(a,1),4855(a,1,2)),flip(a)]. 5024 K(x,y) \ T(x,x \ y) = R(x,x \ y,x). [para(14(a,1),5016(a,1,1,2))]. 5025 (K(x,x * y) * T(K(x,x * y),z)) \ (T(K(x,x * y),z) * T(x,y)) = L(R(x,y,x),K(x,x * y),T(K(x,x * y),z)). [para(5016(a,1),352(a,2,1))]. 5026 K(x,x * y) \ (L(K(x,x * y),z,u) * T(x,y)) = L(K(x,x * y),z,u) * R(x,y,x). [para(5016(a,1),1060(a,2,2))]. 5027 T(x,y) \ L(x,x \ y,x) = K(x \ y,x). [para(14(a,1),5018(a,2,1,2)),flip(a)]. 5028 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [para(4522(a,1),3692(a,2))]. 5029 K((1 / x) \ y,y) = K(y * x,y). [para(4557(a,2),4539(a,2)),flip(a)]. 5030 K(x * (y \ 1),x) = K(y \ x,x). [para(59(a,1),5029(a,1,1,1)),flip(a)]. 5031 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(4701(a,1),5030(a,1,1,2)),flip(a)]. 5032 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(4564(a,1),3239(a,2,1,2,1))]. 5033 K(x,y) * (((y * x) / y) * z) = x * z. [para(13(a,1),4568(a,1,2)),flip(a)]. 5035 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(4572(a,1),4569(a,1,1))]. 5036 K(x * (1 / y),x) = K(y \ x,x). [para(4578(a,2),4539(a,2)),flip(a)]. 5038 x / (y * T(y \ x,z)) = K(z,x / y). [para(4579(a,1),4912(a,1,2))]. 5039 K(x * K(y,y \ 1),z) = K(x,z). [para(4592(a,2),4561(a,2)),flip(a)]. 5040 K(x * K(y \ 1,y),z) = K(x,z). [para(1234(a,1),5039(a,1,1,2))]. 5041 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2304(a,1),5039(a,1,1))]. 5042 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(2351(a,1),5039(a,1,1)),flip(a)]. 5043 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2401(a,1),5039(a,1,1))]. 5045 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(2638(a,1),5039(a,1,1)),flip(a)]. 5046 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(2639(a,1),5039(a,1,1)),flip(a)]. 5047 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(2640(a,1),5039(a,1,1))]. 5048 K(x \ K(y \ 1,y),z) = K(x \ 1,z). [para(4267(a,1),5039(a,1,1)),flip(a)]. 5049 K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). [para(4223(a,2),5039(a,1,1))]. 5050 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4230(a,2),5039(a,1,1))]. 5052 K(x / (1 / y),z) = K(x / (y \ 1),z). [para(2354(a,1),5040(a,1,1))]. 5054 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4306(a,1),5040(a,1,1)),flip(a)]. 5055 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4307(a,2),5040(a,1,1))]. 5056 K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). [para(4336(a,2),5040(a,1,1))]. 5057 K(x,x * (y \ 1)) = K(x,y \ x). [para(4607(a,2),4571(a,2)),flip(a)]. 5059 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(4611(a,2),1182(a,2,1))]. 5060 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(4619(a,1),787(a,2,2))]. 5062 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4619(a,1),1534(a,2,1))]. 5063 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [para(4619(a,1),1018(a,1)),flip(a)]. 5064 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4619(a,1),1699(a,1,2))]. 5065 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [para(4619(a,1),1967(a,2,2))]. 5066 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [para(4619(a,1),2106(a,1)),flip(a)]. 5068 K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [para(4619(a,1),3228(a,1,1))]. 5070 (x \ T(x * y,z)) / y = K(y / (x \ 1),z). [para(642(a,1),4630(a,1,1))]. 5071 K(x,y * K(z,z \ 1)) = K(x,y). [para(4632(a,2),4571(a,2)),flip(a)]. 5072 K(x,y * K(z,1 / z)) = K(x,y). [para(1233(a,2),5071(a,1,2,2))]. 5073 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(2304(a,1),5071(a,1,2))]. 5074 K(x,y * T(z,z \ 1)) = K(x,y * z). [para(2305(a,1),5071(a,1,2))]. 5075 K(x,y / (1 / (1 / z))) = K(x,y / z). [para(2356(a,1),5071(a,1,2))]. 5076 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2401(a,1),5071(a,1,2))]. 5077 K(x,(y / (z \ 1)) * (1 / z)) = K(x,y). [para(2411(a,2),5071(a,1,2))]. 5078 K(x,K(y,y \ 1) * z) = K(x,z). [para(2584(a,2),5071(a,1,2))]. 5079 K(x,K(y \ 1,y) * z) = K(x,z). [para(2596(a,1),5071(a,1,2)),flip(a)]. 5080 K(x,T(y,y \ 1) * z) = K(x,y * z). [para(2635(a,1),5071(a,1,2))]. 5081 K(x,((y \ 1) \ 1) * z) = K(x,y * z). [para(2636(a,1),5071(a,1,2))]. 5082 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2638(a,1),5071(a,1,2)),flip(a)]. 5083 K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). [para(2639(a,1),5071(a,1,2)),flip(a)]. 5084 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(2640(a,1),5071(a,1,2))]. 5085 K(x,(1 / y) / z) = K(x,(y \ 1) / z). [para(3406(a,1),5071(a,1,2))]. 5086 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(4230(a,2),5071(a,1,2))]. 5087 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(4292(a,2),5071(a,1,2))]. 5088 K(x,K(y,1 / y) * z) = K(x,z). [para(2583(a,2),5072(a,1,2))]. 5089 K(x,y * (z * K(u,1 / u))) = K(x,y * z). [para(4234(a,1),5072(a,1,2))]. 5090 K(x,y * ((1 / y) * z)) = K(x,L(z,y \ 1,y)). [para(2975(a,1),5078(a,1,2))]. 5091 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(4325(a,1),5078(a,1,2)),flip(a)]. 5092 K(x,T(y,y \ 1) \ z) = K(x,y \ z). [para(4870(a,1),5078(a,1,2)),flip(a)]. 5093 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(342(a,1),5079(a,1,2))]. 5094 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4271(a,2),5079(a,1,2))]. 5095 K(x,T(K(y \ 1,y) * z,u)) = K(x,T(z,u)). [para(4410(a,2),5079(a,1,2))]. 5096 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(4272(a,1),5079(a,1,2))]. 5097 K(x,y \ (z / (1 / u))) = K(x,y \ (z / (u \ 1))). [para(4340(a,1),5079(a,1,2))]. 5098 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(4450(a,2),5079(a,1,2))]. 5099 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(3382(a,1),5088(a,1,2))]. 5100 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(18,a,4614,a,b,4640,a),flip(a)]. 5101 T(x * K(x * y,x),y) = R(x,y,x). [hyper(18,a,3865,a,b,4640,a)]. 5102 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(18,a,1584,a,b,4640,a)]. 5103 T((x * y) / x,z) = T(y * K(x,y),z). [hyper(18,a,308,a,b,4640,a),flip(a)]. 5104 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5101(a,1),38(a,1,1)),flip(a)]. 5105 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(4641(a,2),4565(a,2,1)),flip(a)]. 5106 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [para(4641(a,2),4617(a,1)),flip(a)]. 5107 K(x,((y \ z) / z) \ 1) = K(x,y). [hyper(4657,a,4671,a)]. 5109 K(x,(y / z) \ 1) = K(x,z / y). [para(61(a,1),5107(a,1,2,1,1))]. 5110 K(x,y / (z * y)) = K(x,z \ 1). [para(15(a,1),5109(a,1,2,1)),flip(a)]. 5111 K(x,(y \ z) / z) = K(x,y \ 1). [para(59(a,1),5109(a,1,2,1)),flip(a)]. 5112 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(105(a,2),5109(a,1,2,1))]. 5113 K(x,1 / (y / z)) = K(x,z / y). [para(5109(a,1),3166(a,2))]. 5114 K(x,y / (z * y)) = K(x,1 / z). [para(5110(a,2),3166(a,2)),flip(a)]. 5117 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5110(a,1),4593(a,1,1))]. 5120 ((x * y) \ y) * K(x * y,1 / x) = y / (x * y). [para(5114(a,1),4584(a,1,2))]. 5121 x * (y * K(z,y)) != u | u / ((z * y) / z) = x. [para(4716(a,1),78(a,1))]. 5122 x \ T(x * y,y) = y * K(y * x,y). [hyper(18,a,4366,a,b,4729,a),flip(a)]. 5123 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [para(1063(a,1),4738(a,2,1))]. 5125 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(4747(a,1),439(a,1,1,1))]. 5126 ((T(x,(1 / y) \ z) * (z * y)) / T(x,(1 / y) \ z)) / y = (1 / y) * (((1 / y) \ z) * K(x,(1 / y) \ z)). [para(4747(a,1),1170(a,1,2)),flip(a)]. 5127 T(x,K(y,y \ x)) = x. [para(4751(a,1),4532(a,1,2))]. 5131 K(x,y * x) = K(x,x * y). [para(4759(a,1),4603(a,2))]. 5132 K(x,x * (y / x)) = K(x,y). [para(16(a,1),5131(a,1,2)),flip(a)]. 5133 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(83(a,1),5131(a,2,2))]. 5134 K(x,T(x * (y / x),z)) = K(x,T(y,z)). [para(4343(a,2),5132(a,1,2))]. 5135 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(2502(a,1),4768(a,1,2))]. 5136 R(K(x * (y / (z * y)),y / (z * y)),R(1 / z,z,y),z * y) = ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y. [para(4779(a,1),542(a,1,1))]. 5137 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(14(a,1),4856(a,1,1,1)),flip(a)]. 5138 (x / (x / y)) \ z = K(y,x / y) * (y \ z). [para(16(a,1),4856(a,1,1,1))]. 5140 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(4572(a,1),4856(a,1,1))]. 5143 K(x,y) * T(x,z) = K(x,z) * T(x,y). [para(4873(a,2),2899(a,1))]. 5147 (x \ (x / (y \ 1))) * T(x,y) = x / (y \ 1). [para(2687(a,1),4887(a,1,2))]. 5148 ((x * y) / x) \ K(x,y) = y \ 1. [para(51(a,1),4904(a,2,2))]. 5150 (K(x,y) \ x) \ z = x \ (K(y,x) \ z). [para(4709(a,2),4904(a,1,1))]. 5151 K(x,(y / z) \ 1) \ z = y * T(y \ z,x). [para(5109(a,2),4905(a,1,1))]. 5152 K(x,y \ 1) \ (y \ z) = z * T(z \ (y \ z),x). [para(5111(a,1),4905(a,1,1))]. 5153 x * ((y * (x / y)) \ y) = x / (x / y). [para(4945(a,2),14(a,1,2))]. 5154 T(x,y) / (K(z,x) * K(x,y)) = T(x,z). [para(4979(a,1),59(a,1,2))]. 5155 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [para(4979(a,2),1720(a,2)),flip(a)]. 5156 K(x,y) \ (y * z) = y * (K(x,y) \ z). [hyper(17,a,194,a,b,4980,a),flip(a)]. 5158 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(4980(a,1),104(a,2,1))]. 5159 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4980(a,1),332(a,1,1))]. 5160 x * (K(y,x) * (T(x,z) \ u)) = K(y,x) * (K(z,x) * u). [para(4581(a,1),4980(a,1,2)),flip(a)]. 5161 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [para(642(a,1),4982(a,1,2))]. 5162 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(690(a,1),4982(a,1,2))]. 5163 K(x,(y * z) / (y * (u \ z))) * ((y * (u \ z)) * T(L(T(u,u \ z),u \ z,y),x)) = y * z. [para(231(a,2),4982(a,1,2,2,1))]. 5167 x \ (y \ (K(x,y) \ z)) = T(x,y) \ (y \ z). [para(5008(a,1),4902(a,1,2))]. 5168 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(13(a,1),5028(a,1,1,1)),flip(a)]. 5169 K(x,y) * (y * z) = ((x * y) / x) * z. [hyper(4928,a,5033,a)]. 5170 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(14(a,1),5033(a,1,2,1,1))]. 5172 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(795(a,1),5038(a,1,2))]. 5173 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1391(a,1),5038(a,1,2))]. 5174 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3309(a,1),5041(a,1,1,2)),flip(a)]. 5175 K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). [para(3471(a,2),5041(a,1,1,2))]. 5178 K((1 / (1 / x)) * (x \ y),z) = K(y,z). [para(227(a,1),5047(a,2,1))]. 5179 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(4941(a,1),5047(a,1,1,1)),flip(a)]. 5180 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(167(a,1),5048(a,1,1,2))]. 5181 (1 / x) * K(y \ (x \ 1),y) = (y \ (1 / x)) * y. [para(5054(a,1),209(a,1,2))]. 5182 K(x,(y \ 1) \ x) = K(x,x * y). [para(5073(a,1),5057(a,1)),flip(a)]. 5183 K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). [para(5074(a,1),5054(a,1)),flip(a)]. 5184 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(2740(a,2),5082(a,1,2,1))]. 5185 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(3309(a,1),5082(a,1,2,1)),flip(a)]. 5189 K(x * y,y) = K(y * x,y). [hyper(17,a,4741,a(flip),b,5122,a(flip)),flip(a)]. 5190 T(x * K(x * y,x),y * x) = x. [para(5189(a,1),4573(a,1,1,2))]. 5191 K((1 / x) * y,y) = K(x \ y,y). [para(5189(a,2),5036(a,1))]. 5192 K((x \ 1) \ y,y) = K(x * y,y). [para(59(a,1),5191(a,1,1,1)),flip(a)]. 5193 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(5192(a,1),4597(a,2,2)),flip(a)]. 5194 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(15(a,1),5134(a,1,2,1,2)),flip(a)]. 5195 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5143(a,1),19(a,1))]. 5196 x \ (x \ (T(x,y) * z)) = (K(x,y) \ x) \ z. [para(4964(a,2),5150(a,2,2)),flip(a)]. 5197 x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(4573(a,1),5154(a,1,1))]. 5198 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(3830(a,1),5155(a,1,2)),flip(a)]. 5199 ((x * y) / x) * (y \ z) = K(x,y) * z. [para(14(a,1),5169(a,1,2)),flip(a)]. 5200 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(14(a,1),5169(a,2,1,1))]. 5202 ((x * y) / x) * K(y,z) = K(x,y) * T(y,z). [para(4597(a,2),5169(a,1,2)),flip(a)]. 5203 (x * K(y,x)) * z = K(y,x) * (x * z). [para(4572(a,1),5169(a,2,1)),flip(a)]. 5204 (K(x,y) * y) * z = K(x,y) * (y * z). [para(4617(a,1),5169(a,2,1)),flip(a)]. 5205 ((x * y) / x) * z = y * (K(x,y) * z). [para(5169(a,1),4980(a,1))]. 5207 (x * K(y,x)) * z = x * (K(y,x) * z). [para(5203(a,2),4980(a,1))]. 5208 R(K(x,y),y,z) = K(x,y). [hyper(4437,a,5204,a)]. 5209 L(x,y,K(z,y)) = x. [hyper(329,a,5204,a)]. 5210 a(K(x,y),y,z) = 1. [hyper(34,a,5209,a)]. 5211 R(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). [para(5208(a,2),5109(a,2)),flip(a)]. 5212 R(K(x,y / (z * y)),y / (z * y),u) = K(x,z \ 1). [para(5208(a,2),5110(a,1))]. 5214 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(5205(a,1),583(a,1,1))]. 5215 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(3828(a,1),5205(a,1,1))]. 5216 K(x,y) * (((z * x) / z) * u) = T(x,y) * (K(z,x) * u). [para(5205(a,2),4627(a,1,2))]. 5217 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(4627(a,1),5205(a,2,2))]. 5218 ((x * y) / x) * (x / y) = y * (x / T(y,x)). [para(4981(a,1),5205(a,2,2))]. 5219 R(x,K(y,x),z) = x. [hyper(4437,a,5207,a)]. 5220 (x * (K(y,x) * z)) / z = x * K(y,x). [hyper(78,a,5207,a)]. 5221 x \ ((x * K(y,x)) * z) = K(y,x) * z. [hyper(71,a,5207,a(flip))]. 5222 (x * K(y,x)) * z != x * (K(y,x) * u) | z = u. [para(5207(a,1),19(a,2))]. 5223 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(5207(a,1),28(a,2,1)),flip(a)]. 5224 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5219(a,1),367(a,1,1,1)),flip(a)]. 5225 (x * y) / (K(x,z) * y) = x * K(z,x). [para(4907(a,1),5220(a,1,1,2))]. 5226 x \ ((y / (y / x)) * z) = K(x \ y,x) * z. [para(4518(a,2),5221(a,1,2,1))]. 5227 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [para(4731(a,1),3510(a,1)),flip(a)]. 5228 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(5227(a,1),1892(a,1,1,2))]. 5229 ((x \ 1) \ y) * (x \ 1) != y * z | K(x * y,(x * y) \ y) = z. [para(3633(a,2),4954(a,1))]. 5230 K(x * y,x) * K(x,y) = x \ R(x,y,x). [para(5017(a,1),4979(a,1)),flip(a)]. 5231 K(x,y) * K(y,y * x) = y \ L(y,x,y). [para(5020(a,1),1720(a,1)),flip(a)]. 5232 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5189(a,2),5023(a,1,2))]. 5233 (K(x,y) * T(K(x,y),z)) \ (T(K(x,y),z) * T(x,x \ y)) = L(R(x,x \ y,x),K(x,y),T(K(x,y),z)). [para(5024(a,1),352(a,2,1))]. 5234 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(14(a,1),5230(a,1,1,1)),flip(a)]. 5235 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(5189(a,2),5230(a,1,1))]. 5236 K(x,y) * K(y,x * y) = y \ L(y,x,y). [para(5131(a,2),5231(a,1,2))]. 5237 ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). [para(4530(a,2),3956(a,1,1))]. 5238 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(4531(a,1),4144(a,1,1,1))]. 5239 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [para(4580(a,1),4574(a,1)),flip(a)]. 5240 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(61(a,1),5239(a,2,1,1))]. 5242 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(2889(a,1),5239(a,2,1))]. 5243 K(1 / T(x,y),z) = T(K(1 / x,z),y). [para(2261(a,1),5240(a,1,1))]. 5244 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). [para(5242(a,1),4801(a,1,2)),flip(a)]. 5245 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4571(a,2),4620(a,1,1)),flip(a)]. 5246 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(61(a,1),5245(a,2,1,2))]. 5247 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(5245(a,2),109(a,1,2))]. 5248 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(3165(a,1),5245(a,2,1))]. 5250 x * T(K(x,y \ 1),z) = T(x,T(y,z) \ 1). [para(5245(a,1),4597(a,2,2)),flip(a)]. 5251 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [para(2261(a,1),5246(a,1,2))]. 5252 T(x,T(K(x,y),z)) = x. [para(5246(a,1),2896(a,1,2))]. 5253 K(x,R(T(K(x,y),z),u,w)) = 1. [para(5246(a,1),2913(a,1,2,1))]. 5254 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [para(5246(a,1),3166(a,2))]. 5255 K(x,y) * (x * T(K(x,z),u)) = T(K(x,z),u) * T(x,y). [para(5252(a,1),4858(a,2,2,1))]. 5256 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(18,a,4614,a,b,4642,a),flip(a)]. 5257 L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). [para(45(a,1),4642(a,2,2))]. 5258 L(L(x,y,z) * 1,u,w) * x = x * L(L(x,y,z),u,w). [para(445(a,1),4642(a,1,1,1,2))]. 5259 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(18,a,4614,a,b,4643,a),flip(a)]. 5260 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(4941(a,1),4650(a,1,1,2))]. 5261 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(5260(a,1),109(a,1,2)),flip(a)]. 5262 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(4723(a,2),4565(a,2,1)),flip(a)]. 5263 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [para(4723(a,2),4616(a,2,1)),flip(a)]. 5264 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(4724(a,2),3829(a,1,1))]. 5265 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(4724(a,2),4565(a,2,1)),flip(a)]. 5266 (T(x,y) * R(y,z,u)) / T(x,y) = R(K(y,x) \ y,z,u). [para(4799(a,1),4724(a,1,1)),flip(a)]. 5267 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [para(4740(a,2),2274(a,1)),flip(a)]. 5269 K(x,(x \ 1) * y) = K(x,x \ y). [para(4818(a,1),4812(a,1))]. 5270 K(x,x \ ((x \ 1) \ y)) = K(x,y). [para(14(a,1),5269(a,1,2)),flip(a)]. 5271 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(2740(a,2),5269(a,1,2,1)),flip(a)]. 5272 K(x,(x \ 1) * y) * y = x * (y / x). [para(5269(a,2),4626(a,1,1))]. 5273 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [para(5269(a,1),5081(a,1))]. 5274 K(x,y) * ((x \ 1) \ y) = x * (((x \ 1) \ y) / x). [para(5270(a,1),4626(a,1,1))]. 5275 K(x,(1 / x) * y) * y = x * (y / x). [para(5084(a,2),5272(a,1,1))]. 5276 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [para(4828(a,2),3598(a,2)),flip(a)]. 5277 K(x \ (y \ x),x) = K(y \ 1,x). [hyper(18,a,4541,a,b,4834,a),flip(a)]. 5278 K(x,y) * ((x \ 1) \ y) = (y \ ((x \ 1) \ y)) * y. [para(2889(a,1),4834(a,1,1))]. 5279 K((x / y) \ 1,x) = K(x \ y,x). [para(61(a,1),5277(a,1,1,2)),flip(a)]. 5280 (x \ y) / ((x \ y) / y) = y * K(x \ 1,y). [para(5277(a,1),4518(a,2,2))]. 5281 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [para(5279(a,2),4025(a,1))]. 5282 x * T(x \ y,z) != y * u | K((y \ x) \ 1,z) = u. [para(4837(a,2),19(a,1))]. 5284 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [para(4837(a,1),305(a,1))]. 5285 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [para(4837(a,1),311(a,1,1))]. 5286 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [para(4837(a,1),642(a,1)),flip(a)]. 5287 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [para(4837(a,1),795(a,1)),flip(a)]. 5288 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [para(4837(a,1),624(a,1))]. 5289 T(x,y) * T(T(x,y) \ y,z) = y * K((T(y,x) \ x) \ 1,z). [para(3861(a,2),4837(a,2,2,1,1))]. 5290 K((x \ y) \ 1,(y \ x) \ z) = x \ (y * (((y \ x) \ z) \ z)). [para(110(a,1),4838(a,1,2,2)),flip(a)]. 5291 x \ (y \ ((z \ (y * x)) * z)) = K((x \ (y \ z)) \ 1,z). [para(676(a,1),4838(a,1,2))]. 5292 x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). [para(795(a,1),4838(a,1,2))]. 5293 x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,u). [para(624(a,1),4838(a,1,2))]. 5294 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1391(a,1),4838(a,1,2))]. 5295 T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). [para(1878(a,1),4838(a,1,2))]. 5296 K((x / y) \ 1,z) \ (x * T(x \ y,z)) = y. [hyper(71,a,4839,a)]. 5297 K((x / y) \ 1,z) = K(y / x,z). [hyper(18,a,4579,a,b,4839,a)]. 5298 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(13(a,1),4839(a,2,2,1))]. 5300 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [para(4839(a,2),690(a,1))]. 5301 T(x * y,z) / y = K(((1 / y) / x) \ 1,z) * x. [para(4839(a,2),698(a,1)),flip(a)]. 5303 K((x / (y * x)) \ 1,z) = K(y,z). [para(15(a,1),5297(a,2,1))]. 5304 K((x \ y) / y,z) = K(x \ 1,z). [para(59(a,1),5297(a,1,1,1)),flip(a)]. 5305 K(1 / (x / y),z) = K(y / x,z). [para(5297(a,1),2888(a,2))]. 5306 R(K(x / y,z),x / y,u) = K((y / x) \ 1,z). [para(5297(a,2),3777(a,2))]. 5311 K(x / (y * x),z) = K(1 / y,z). [para(15(a,1),5305(a,1,1,2)),flip(a)]. 5312 (x * K(y / z,x)) * (1 / (z / y)) = (1 / (z / y)) * x. [para(5305(a,1),4614(a,1,1,2))]. 5313 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [para(5305(a,2),4630(a,2))]. 5314 (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). [para(624(a,1),4840(a,1,1))]. 5315 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [para(4880(a,1),2791(a,2))]. 5316 ((x \ 1) * x) \ (T(x,y) * z) = T(T(x,y),T(x,y) \ 1) * z. [para(2815(a,1),4990(a,1,1))]. 5318 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(2880(a,1),5049(a,1,1,2))]. 5319 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(3484(a,1),5050(a,1,1,2))]. 5320 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(2492(a,1),5055(a,1,1,1)),flip(a)]. 5321 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(2542(a,1),5055(a,1,1,1))]. 5322 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(2630(a,1),5055(a,1,1,1))]. 5323 K(((1 / x) / y) \ z,u) = K(((x \ 1) / y) \ z,u). [para(3373(a,1),5055(a,1,1,1))]. 5324 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4432(a,1),5055(a,1,1,1))]. 5325 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [para(4342(a,1),5070(a,1,1)),flip(a)]. 5326 K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). [para(1303(a,1),5086(a,1,2,2))]. 5327 K(x,y \ (((z \ 1) \ 1) * u)) = K(x,y \ (z * u)). [para(2487(a,1),5086(a,1,2,2))]. 5328 (x \ (1 / y)) * K(x,x \ (y \ 1)) = (1 / y) / x. [para(5326(a,1),4618(a,1,2))]. 5329 K(x,((((y \ 1) \ 1) * z) \ u) \ w) = K(x,((y * z) \ u) \ w). [para(4321(a,1),5087(a,1,2,1))]. 5330 K(x,y * (K(z,1 / z) * u)) = K(x,y * u). [para(2583(a,2),5089(a,1,2,2))]. 5331 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2633(a,1),5094(a,1,2,1))]. 5332 K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w). [para(4327(a,1),5094(a,1,2,1)),flip(a)]. 5333 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(2494(a,1),5095(a,1,2,1)),flip(a)]. 5334 K(x,y / (((z \ 1) \ 1) * u)) = K(x,y / (z * u)). [para(2487(a,1),5098(a,1,2,2))]. 5335 K(x,y / (z * (u / (1 / w)))) = K(x,y / (z * (u / (w \ 1)))). [para(4327(a,1),5098(a,1,2,2)),flip(a)]. 5336 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(71,a,5100,a)]. 5338 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5100(a,1),5105(a,1,1,1))]. 5339 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(4928,a,5137,a)]. 5340 K(x \ y,x) \ ((y / x) \ z) = (x \ y) \ z. [hyper(71,a,5137,a)]. 5341 (x \ y) \ ((y / x) * z) = K(x \ y,x) \ z. [hyper(17,a,203,a(flip),b,5137,a)]. 5342 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(32(a,2),5137(a,1,2))]. 5344 (x \ y) * K(x,1 / x) = (1 / (1 / x)) \ y. [para(5138(a,2),2583(a,1)),flip(a)]. 5345 K(x,1 / x) * ((x \ y) * z) = ((1 / (1 / x)) \ y) * z. [para(5138(a,2),3381(a,1,1)),flip(a)]. 5346 K(x,((y \ 1) / z) \ 1) \ z = y \ T(y * z,x). [para(5151(a,2),642(a,1))]. 5347 (1 / x) \ (L(x,y,z) \ (K(1 / x,L(x,y,z)) \ u)) = (x \ 1) \ (L(x,y,z) \ u). [para(4504(a,1),5167(a,2,1))]. 5348 K(x,y) = (x * y) * ((y * x) \ 1). [para(13(a,1),5168(a,1,1))]. 5349 (x * y) \ K(x,y) = (y * x) \ 1. [hyper(71,a,5348,a(flip))]. 5361 (x / (x / y)) * ((x / y) * z) = y * ((y \ x) * z). [para(5170(a,1),5215(a,2,2))]. 5362 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(14(a,1),5217(a,1,1,1)),flip(a)]. 5363 (x \ y) * (y / T(x \ y,y)) = ((y * (x \ y)) / y) * x. [para(59(a,1),5218(a,1,2)),flip(a)]. 5365 1 / T(K(x,y),z) = T(K(y,x),z). [para(5244(a,1),5248(a,1))]. 5366 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(5365(a,1),61(a,1,1))]. 5367 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [para(5365(a,1),4560(a,2,1)),flip(a)]. 5368 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [para(5366(a,1),358(a,1,2)),flip(a)]. 5369 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(5366(a,1),4555(a,2,2)),flip(a)]. 5370 K(K(x,y),z) = K(z,K(y,x)). [para(5367(a,1),4813(a,1)),flip(a)]. 5371 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(5370(a,1),4597(a,2,2)),flip(a)]. 5372 x * K(K(y,z),x) = T(x,K(z,y)). [para(5370(a,2),4597(a,2,2)),flip(a)]. 5373 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(5370(a,1),4609(a,2,1)),flip(a)]. 5374 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [para(5370(a,1),4796(a,1,1))]. 5375 K(x,K(y,z)) * K(x,K(z,y)) = 1. [para(5370(a,1),4800(a,1,1))]. 5376 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(5370(a,1),4627(a,1,1))]. 5377 K(x,K(y,z)) * u != w | K(x,K(z,y)) * w = u. [para(5370(a,1),4928(a,1,1))]. 5378 T(T(x,K(y,z)),K(z,y)) = x. [para(5372(a,1),4573(a,1,1))]. 5379 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(5372(a,1),4614(a,1,1))]. 5380 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [para(5372(a,1),4618(a,1))]. 5381 T(T(x,K(y,z)),K(z,y) * x) = L(x,K(z,y),x). [para(5372(a,1),4743(a,1,1))]. 5382 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(1717(a,1),5379(a,1,1))]. 5383 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(1719(a,1),5379(a,1,1))]. 5384 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [para(5382(a,1),4581(a,2))]. 5385 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [para(5382(a,1),4906(a,2))]. 5386 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [para(5383(a,1),4577(a,2))]. 5387 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(111(a,1),5247(a,1,2,2,1)),flip(a)]. 5388 K((x \ 1) \ K(y,x),z) = K((y * x) / y,z). [para(5267(a,1),2889(a,1,1))]. 5389 ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). [para(4572(a,1),5267(a,1,1,1))]. 5390 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(4701(a,1),5267(a,1,1))]. 5391 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(78,a,5276,a)]. 5392 K(((x \ 1) / (x \ y)) \ 1,z) \ (x \ T(y,z)) = x \ y. [para(690(a,1),5296(a,1,2))]. 5393 (x * T(x \ y,z)) / K((x / y) \ 1,z) = T(y,K(z,(x / y) \ 1)). [para(5296(a,1),5380(a,1,1)),flip(a)]. 5394 K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. [para(698(a,1),5313(a,1,1)),flip(a)]. 5395 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). [para(4518(a,2),5336(a,1,2,1))]. 5396 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5189(a,1),5336(a,1,2,1,2))]. 5397 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(4837(a,2),5336(a,1,2,1))]. 5399 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(5384(a,1),3697(a,2,3))]. 5402 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(3468(a,1),4599(a,1,2,1)),flip(a)]. 5403 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(4735(a,2),3974(a,1,1))]. 5404 K(x,y) \ (L(z \ 1,z,K(x,y)) * (K(y,x) \ z)) = K((K(y,x) \ z) \ K(x,y),K(y,x) \ z). [para(4915(a,2),88(a,1,2,1))]. 5405 L(x,K(y,z),K(z,y)) = K(u,w) * (K(w,u) * x). [para(13(a,1),5000(a,1,1))]. 5406 L(T(K(x,y) \ z,u),K(w,v5),K(v5,w)) = T(K(y,x) * z,u). [para(5000(a,1),40(a,2,1))]. 5407 K(x \ R(x,y,z),x) = (x \ K(x,R(x \ 1,u,w))) * x. [para(3360(a,2),5011(a,2,1,2))]. 5408 T(x,T(1 / y,z) \ x) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(2892(a,1),5019(a,1,2))]. 5409 K(x,T(y * ((1 / y) * z),u)) = K(x,L(T(z,u),y \ 1,y)). [para(4203(a,2),5090(a,1,2))]. 5410 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [para(5104(a,2),42(a,2)),flip(a)]. 5411 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5135(a,1),5275(a,1,1))]. 5412 x \ K(x * y,x \ 1) = y / (y / (x \ 1)). [para(4028(a,1),4528(a,1,2))]. 5413 (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). [para(5412(a,2),61(a,1,1))]. 5414 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(4546(a,1),16(a,1,1))]. 5415 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [para(4621(a,2),3166(a,2)),flip(a)]. 5416 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(4571(a,2),4623(a,1,1))]. 5417 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(61(a,1),5416(a,1,1,2)),flip(a)]. 5418 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3165(a,1),5416(a,1,1)),flip(a)]. 5420 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (1 / x) * (L(x,y,z) \ x). [para(5416(a,1),3261(a,1,2))]. 5421 K(x,L(K(y,z),u,w) \ 1) = L(K(x,K(z,y)),u,w). [para(4796(a,1),5416(a,1,1,2)),flip(a)]. 5422 K(x,L(T(y \ 1,z),u,w) \ 1) = L(T(K(x,y),z),u,w). [para(5248(a,1),5416(a,1,1)),flip(a)]. 5423 L(K(x,1 / y),z,u) = K(x,1 / L(y,z,u)). [para(3266(a,1),5417(a,1,2)),flip(a)]. 5424 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(275(a,1),5418(a,1,2,1)),flip(a)]. 5425 K(L(x \ 1,y,z) \ 1,u) * w = L(K(u,x),y,z) \ w. [para(5418(a,1),4906(a,1,1)),flip(a)]. 5426 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [para(5424(a,1),327(a,1,2)),flip(a)]. 5427 ((x \ y) * x) * K(z,(x \ y) * x) = (x \ (y * K(z,y))) * x. [hyper(18,a,4614,a,b,4656,a),flip(a)]. 5428 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [para(4727(a,2),5384(a,1))]. 5429 ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(5428(a,1),96(a,1,2,2,1))]. 5430 T((x / (y * K(z,y))) * y,(z * y) / z) = ((z * y) / z) \ (x * y). [para(4732(a,1),111(a,1,1))]. 5431 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). [para(2996(a,1),4835(a,1,1))]. 5432 K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). [para(3095(a,1),4835(a,2,2,1))]. 5433 x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). [hyper(71,a,4836,a)]. 5434 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(61(a,1),4836(a,1,2,2,1,2))]. 5435 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(109(a,1),4836(a,1,2))]. 5436 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [para(4836(a,1),1369(a,1)),flip(a)]. 5437 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [hyper(71,a,4841,a)]. 5438 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(642(a,1),4842(a,1,2))]. 5439 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(4835(a,2),4842(a,1,2))]. 5440 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4570(a,1),4847(a,1,1))]. 5441 K(L(1 / x,y,z) \ 1,u) = L(K(x,u),y,z). [para(4611(a,2),4847(a,1,1)),flip(a)]. 5443 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1353(a,1),5440(a,1,1)),flip(a)]. 5444 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(2889(a,1),5440(a,1,1)),flip(a)]. 5445 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(4796(a,1),5440(a,1,1,1)),flip(a)]. 5446 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5240(a,1),5440(a,1,1)),flip(a)]. 5447 K(L(T(x \ 1,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5242(a,1),5440(a,1,1)),flip(a)]. 5448 K(1 / L(1 / x,y,z),u) = L(K(x,u),y,z). [para(5441(a,1),2888(a,2))]. 5449 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [para(3266(a,1),5441(a,1,1)),flip(a)]. 5450 L(K(x,y),x,z / x) = K((z \ (z / x)) \ 1,y). [para(276(a,1),5444(a,1,1,1)),flip(a)]. 5451 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(5444(a,1),4796(a,1,1)),flip(a)]. 5452 K(x,1 / L(1 / y,z,u)) = 1 / L(K(y,x),z,u). [para(5448(a,1),4801(a,1,2)),flip(a)]. 5453 a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). [para(4848(a,1),3243(a,2))]. 5455 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4570(a,1),4848(a,1,1))]. 5456 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(4611(a,2),4848(a,1,1)),flip(a)]. 5457 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(5455(a,1),104(a,1,1))]. 5458 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(105(a,1),5455(a,2,1,1))]. 5459 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(2889(a,1),5455(a,1,1)),flip(a)]. 5460 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [para(5455(a,1),5208(a,1))]. 5461 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(541(a,1),5460(a,1,1,1))]. 5462 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(5456(a,1),5455(a,1,1)),flip(a)]. 5463 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(5459(a,1),4906(a,1,1)),flip(a)]. 5464 ((x / (y \ 1)) / x) * T(x,y) = x * ((x / (y \ 1)) / x). [para(2687(a,1),4889(a,1,2))]. 5465 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1018(a,1),5066(a,1,1))]. 5466 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(2111(a,1),5066(a,1,1))]. 5467 K(x,y * (((z \ 1) \ 1) \ u)) = K(x,y * (z \ u)). [para(59(a,1),5091(a,1,2,2,1)),flip(a)]. 5468 K(x,y * (((1 / z) * (u * z)) \ (u * (u * z)))) = K(x,y * ((z \ 1) \ u)). [para(2447(a,2),5091(a,1,2,2))]. 5469 (K(x,y \ 1) \ (y \ z)) / z = T((y \ z) / z,x). [para(5152(a,2),311(a,1,1))]. 5470 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(4400(a,1),5172(a,1,2))]. 5471 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(4417(a,1),5173(a,1,2))]. 5473 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(5286(a,1),14(a,1,2))]. 5474 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [para(16(a,1),5301(a,1,1,1)),flip(a)]. 5475 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(2501(a,1),5321(a,1,1,1)),flip(a)]. 5476 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [para(5325(a,1),5297(a,2))]. 5477 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(4522(a,1),5333(a,1,2,1)),flip(a)]. 5478 K(x,(((y / z) \ 1) / z) \ 1) \ z = (y / z) \ T(y,x). [para(16(a,1),5346(a,2,2,1))]. 5479 K(x,((y \ 1) / (z / y)) \ 1) \ (z / y) = T(z,x) / y. [para(5346(a,2),4342(a,1))]. 5482 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(4701(a,1),5387(a,1,1,2))]. 5483 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5109(a,1),5387(a,1,1)),flip(a)]. 5484 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(150,a,5483,a)]. 5487 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(289(a,1),5415(a,1,2,2,1,2))]. 5488 x \ T(x * (y \ 1),z) = y \ K((y * (x \ 1)) \ 1,z). [para(5433(a,2),642(a,1)),flip(a)]. 5489 T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). [para(2996(a,1),5437(a,1,2,1)),flip(a)]. 5491 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(61(a,1),5439(a,1,2,1,1))]. 5492 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(2889(a,1),5439(a,1,2,1))]. 5493 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [para(5451(a,1),5418(a,1))]. 5494 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [para(5493(a,1),59(a,1,2))]. 5495 L(K(x,K(y,z)),u,w) = K(x,L(K(y,z),u,w)). [para(5493(a,1),5421(a,1,2)),flip(a)]. 5496 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(4796(a,1),5473(a,1,2,2,1,1,2))]. 5497 L(x \ (y * z),x,K(z,y)) = (K(y,z) \ x) \ (z * y). [para(4906(a,2),4538(a,2,1))]. 5498 T(x,y) / L(z,x / z,K(x,y)) = K(y,x) \ (x / z). [para(4693(a,2),4906(a,2)),flip(a)]. 5499 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(4755(a,2),4798(a,1,2))]. 5500 (K(x,y) \ z) * L(u,z,K(y,x)) = K(x,y) \ (z * u). [para(4916(a,2),4906(a,2)),flip(a)]. 5501 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(4906(a,1),4917(a,1,1,2))]. 5502 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(143(a,1),5102(a,2,3))]. 5503 R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). [para(143(a,2),5212(a,1,2))]. 5504 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(1887,a,5228,a)]. 5505 L(x * K(y,x),z,u) != L(x,z,u) * w | K(y,L(x,z,u)) = w. [para(5256(a,1),19(a,1))]. 5506 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(5256(a,1),4797(a,1,2))]. 5507 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(71,a,5259,a)]. 5509 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(15(a,1),5411(a,2,2))]. 5510 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(4537,a,5509,a),flip(a)]. 5511 ((1 / R(x,y,z)) * 1) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(5453(a,1),490(a,1,2))]. 5512 T(x * (y / x),z) / L(y,K(x,x \ y),K(x * (y / x),z)) = K(z,x * (y / x)) \ ((x * (y / x)) / y). [para(4893(a,1),5498(a,1,2,2))]. 5513 (K(x,y) \ (z * u)) / L(u,z,K(y,x)) = K(x,y) \ z. [hyper(78,a,5500,a)]. 5514 (K(x,y) \ z) \ (K(x,y) \ (z * u)) = L(u,z,K(y,x)). [hyper(71,a,5500,a)]. 5515 (x * y) * L(z,y * x,K(x,y)) = K(y,x) \ ((y * x) * z). [para(4534(a,1),5500(a,1,1))]. 5517 L(x \ y,x,K(z,u)) = (K(u,z) \ x) \ (K(u,z) \ y). [para(14(a,1),5514(a,1,2,2)),flip(a)]. 5518 (K(x,y) \ (z * u)) \ (K(x,y) \ (z * (u * w))) = L(L(w,u,z),z * u,K(y,x)). [para(95(a,1),5514(a,1,2,2))]. 5519 L(x \ T(y,z),x,K(z,y)) = (K(y,z) \ x) \ y. [para(4676(a,1),5517(a,2,2))]. 5520 L(x \ T(y,z),x,K(y,z)) = (K(z,y) \ x) \ T(T(y,z),z). [para(4775(a,1),5517(a,2,2))]. 5521 T(L(T(x,y) / z,z,K(y,x)),z) = (K(x,y) \ z) \ x. [para(5519(a,1),164(a,2))]. 5522 L(x,K(y,z),L(y,u,w)) = x. [hyper(329,a,4634,a)]. 5523 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(2900(a,1),4634(a,1,1))]. 5524 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [para(5522(a,1),4917(a,1)),flip(a)]. 5525 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [para(4705(a,2),2070(a,1))]. 5526 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [para(5525(a,1),3405(a,2))]. 5527 T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(5383(a,1),4816(a,2,1,1))]. 5528 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [para(4816(a,2),5389(a,1))]. 5529 ((x \ 1) \ K(x \ y,x)) \ y = y / ((x \ 1) \ 1). [para(2919(a,1),4823(a,1,1))]. 5530 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(4570(a,1),4844(a,1,1,2))]. 5531 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(71,a,5530,a)]. 5532 (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). [hyper(18,a,202,a,b,5530,a),flip(a)]. 5535 ((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y). [para(5530(a,1),30(a,2,1)),flip(a)]. 5537 R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). [para(5531(a,1),1024(a,1,1)),flip(a)]. 5538 (T(x,y \ 1) / y) * K(y \ 1,x) = x / y. [para(4547(a,1),5532(a,1,1)),flip(a)]. 5539 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(71,a,5538,a)]. 5540 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [para(5539(a,1),2969(a,2))]. 5541 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(15(a,1),5540(a,1,2,2))]. 5542 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [para(5541(a,1),2888(a,2))]. 5543 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [para(5541(a,1),5083(a,1)),flip(a)]. 5544 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(5542(a,1),4792(a,1,2)),flip(a)]. 5545 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [para(5543(a,1),4792(a,1,2)),flip(a)]. 5546 K(x \ 1,y * x) = K(x \ 1,x * y). [para(5543(a,1),5273(a,1))]. 5547 K(x \ 1,(x \ y) * x) = K(x \ 1,y). [para(14(a,1),5546(a,2,2))]. 5548 x * T(x \ 1,y * x) = K(x \ 1,x * y). [para(5546(a,1),4570(a,2))]. 5549 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(17,a,4570,a,b,5548,a)]. 5550 T((x / y) \ 1,y * (x / y)) = T((x / y) \ 1,x). [para(16(a,1),5549(a,2,2))]. 5551 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). [para(5549(a,1),1885(a,1,2,1,1))]. 5552 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(5549(a,2),1885(a,1,1))]. 5553 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [para(5549(a,2),3954(a,1))]. 5554 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(14(a,1),5553(a,1,2))]. 5555 x * K((1 / y) \ 1,x * (1 / y)) = y * (x / y). [para(5544(a,1),2663(a,1))]. 5556 (x \ 1) * ((y / x) / (x \ 1)) = (y / x) * K(x \ 1,y). [para(16(a,1),5545(a,2,2,2))]. 5557 x * K(y,x * (1 / y)) = y * (x / y). [para(61(a,1),5555(a,1,2,1))]. 5558 K(x,y * (1 / x)) = K(x,x \ y). [hyper(17,a,4792,a,b,5557,a)]. 5560 x * K(y,x * (y \ 1)) = y * (x / y). [para(5076(a,1),5557(a,1,2))]. 5561 (x / (y \ 1)) * K(y,x) = y * ((x / (y \ 1)) / y). [para(5077(a,1),5557(a,1,2))]. 5562 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(5558(a,1),4801(a,1,2)),flip(a)]. 5563 K(x * (1 / y),y) = K(y \ x,y). [para(5562(a,2),4801(a,1))]. 5564 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(59(a,1),5563(a,1,1,2)),flip(a)]. 5565 K(x * (y \ 1),y) = K(y \ x,y). [para(5563(a,1),3185(a,1)),flip(a)]. 5566 K(((1 / x) \ y) * (1 / x),x) = K(y,x). [para(5563(a,2),4025(a,1))]. 5567 K((1 / x) * y,x) = K(y * (1 / x),x). [para(5563(a,2),4026(a,2))]. 5568 x * K(x * (y \ 1),y) = (y \ x) * y. [para(5565(a,2),209(a,1,2))]. 5569 K(((x \ 1) \ y) * (x \ 1),x) = K(y,x). [para(5565(a,2),4023(a,1))]. 5570 K(T(x,1 / y) / y,y) = K(x / y,y). [para(717(a,1),5566(a,1,1))]. 5571 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [para(5567(a,2),5042(a,1))]. 5572 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(61(a,1),5568(a,1,2,1,2)),flip(a)]. 5573 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(5041(a,1),5568(a,1,2)),flip(a)]. 5574 K(x * (y / x),x / y) = K(y,x / y). [para(3619(a,1),5569(a,1,1))]. 5575 K(T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y),1 / y) = K((x / y) / (y \ 1),1 / y). [para(2410(a,1),5570(a,2,1))]. 5576 K(x * (y / x),1 / (y / x)) = K(y,x / y). [para(5574(a,1),5113(a,2))]. 5577 K(x * y,y \ 1) = K(y * x,y \ 1). [para(5564(a,1),4028(a,1))]. 5578 K((1 / x) \ y,x \ 1) = K(y * x,x \ 1). [para(5564(a,1),5046(a,2))]. 5579 K((x \ y) * x,1 / x) = K(y,1 / x). [para(5571(a,1),5178(a,1))]. 5580 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(42(a,2),4852(a,2,2))]. 5581 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [para(4897(a,2),3997(a,1))]. 5582 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [para(4898(a,2),3998(a,1))]. 5583 K(1 / x,y) / (x \ 1) = 1 / (x \ K(y,1 / x)). [para(3179(a,1),5004(a,1,2)),flip(a)]. 5584 K((x * ((1 / y) / z)) \ u,w) = K((x * ((y \ 1) / z)) \ u,w). [para(3373(a,1),5056(a,1,1,1,2))]. 5585 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(14(a,1),5060(a,1,2,1))]. 5586 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(5060(a,1),1971(a,1,1)),flip(a)]. 5587 (x * y) * (x / (x * y)) = x * K(x * y,1 / y). [para(3166(a,2),5585(a,2,2))]. 5588 K(x * y,x / (x * y)) = K(x * y,1 / y). [hyper(322,a,5587,a)]. 5589 (x * (y / x)) * (x / (x * (y / x))) = x * K(y,x / y). [para(5576(a,1),5587(a,2,2))]. 5590 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(14(a,1),5063(a,1,2,2,1))]. 5591 K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). [para(4985(a,1),5160(a,1,2)),flip(a)]. 5592 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(4810(a,1),5179(a,1,1,1)),flip(a)]. 5593 L(L(x,y,z),u,w) * x = x * L(L(x,y,z),u,w). [para(12(a,1),5258(a,1,1,1))]. 5594 T(x,L(L(x,y,z),u,w)) = x. [hyper(150,a,5593,a)]. 5595 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [para(5287(a,1),4400(a,1))]. 5596 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(3499(a,1),5294(a,1,2)),flip(a)]. 5597 K(x,y * (((1 / (1 / z)) \ u) * w)) = K(x,y * ((z \ u) * w)). [para(5345(a,1),5330(a,1,2,2))]. 5598 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = ((y * ((x \ y) \ y)) / y) * (x \ y). [para(110(a,2),5363(a,1,2,2,1))]. 5599 K(x * y,T(y,z)) = K(y * x,T(y,z)). [para(5396(a,1),5336(a,1))]. 5600 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(138,a,5402,a(flip)),flip(a)]. 5602 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5444(a,1),5425(a,1,1)),flip(a)]. 5603 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(70,a,5602,a)]. 5604 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [para(5602(a,2),1722(a,1))]. 5605 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(5603(a,1),19(a,1)),flip(a)]. 5606 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [para(5431(a,1),2538(a,1))]. 5607 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(642(a,1),5434(a,1,2)),flip(a)]. 5608 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(4837(a,1),5436(a,1,1))]. 5609 K(x,L(T(y \ 1,z),u,w) \ 1) * v5 = L(T(K(y,x),z),u,w) \ v5. [para(5447(a,1),4906(a,1,1)),flip(a)]. 5610 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [para(5471(a,1),5470(a,1))]. 5611 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(78,a,5474,a),flip(a)]. 5612 K(((x \ 1) / (y / x)) \ 1,z) \ (T(y,z) / x) = y / x. [para(5476(a,2),61(a,1,1))]. 5613 T(x / y,K(z,(((x / y) \ 1) / y) \ 1) \ y) = ((x / y) \ T(x,z)) \ T(x,z). [para(5478(a,2),110(a,1,2))]. 5614 (T(x,y) / z) / T(x / z,K(y,((z \ 1) / (x / z)) \ 1) \ 1) = (x / z) \ (K(y,((z \ 1) / (x / z)) \ 1) \ (x / z)). [para(5479(a,1),3792(a,1,1))]. 5615 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(13(a,1),5482(a,2,2,2,1))]. 5617 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [para(5488(a,1),14(a,1,2))]. 5618 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [para(5489(a,2),5437(a,1))]. 5619 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [para(5526(a,1),2308(a,1,1))]. 5620 (x \ 1) \ ((y / x) * K(x \ 1,y)) = (y / x) / (x \ 1). [hyper(71,a,5556,a)]. 5621 (x * (y / x)) * (x / (x * (y / x))) = y * (x / y). [para(5589(a,2),210(a,1))]. 5622 K(x / (x * (y / x)),x * (y / x)) = (y * (x / y)) \ x. [para(5621(a,1),91(a,1,1)),flip(a)]. 5623 ((x / y) \ (T(x,z) / y)) * (T(K(((y \ 1) / (x / y)) \ 1,z),K(((y \ 1) / (x / y)) \ 1,z) \ (T(x,z) / y)) \ u) = u. [para(5612(a,1),255(a,1,1,1))]. 5624 (x \ 1) \ ((y \ (y / x)) * y) = (y / x) / (x \ 1). [para(4850(a,2),5620(a,1,2))]. 5625 (x / (y \ x)) / ((y \ x) \ 1) = ((y \ x) \ 1) \ ((x \ y) * x). [para(59(a,1),5624(a,1,2,1,2)),flip(a)]. 5626 K(x / (x * (y / x)),x * (y / x)) = K(x / y,y). [para(5622(a,2),91(a,1))]. 5627 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [para(4700(a,1),1891(a,2))]. 5628 (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(4867(a,1),345(a,1,1))]. 5629 K(x * y,1 / y) * L(y \ 1,y,x) = x / (x * y). [para(5588(a,1),4886(a,1,1))]. 5630 (x * (1 / x)) \ y = ((x \ 1) * x) * y. [para(4958(a,1),4277(a,1))]. 5631 ((x \ 1) * x) \ y = (x * (1 / x)) * y. [hyper(250,a,5630,a)]. 5632 ((x \ 1) * x) \ ((x * (1 / x)) \ y) = y. [hyper(71,a,5630,a(flip))]. 5633 (x * (1 / x)) \ (((x \ 1) * x) \ y) = y. [para(5630(a,2),14(a,1))]. 5634 (x * (1 / x)) \ y = y * ((x \ 1) * x). [para(5630(a,2),4399(a,1))]. 5635 (((x \ 1) * x) \ y) \ z = y \ ((x * (1 / x)) \ z). [para(5631(a,2),3383(a,1,1))]. 5636 ((x * (1 / x)) \ y) \ z = y \ (((x \ 1) * x) \ z). [para(5631(a,2),3384(a,2,2))]. 5637 (((x \ 1) * x) \ y) / z = (x * (1 / x)) * (y / z). [para(5631(a,2),3385(a,1,1))]. 5638 ((x \ 1) * x) \ y = y * (x * (1 / x)). [para(5631(a,2),4389(a,1))]. 5639 (((x \ 1) * x) \ y) \ z = (x * (1 / x)) \ (y \ z). [para(5638(a,2),4279(a,1,1))]. 5640 (((x \ 1) * x) \ y) / z = y / ((x * (1 / x)) \ z). [para(5638(a,2),4392(a,1,1))]. 5641 (x * y) \ ((x * (1 / x)) \ z) = (T(x,x \ 1) * y) \ z. [para(4990(a,1),5635(a,1,1)),flip(a)]. 5642 (((x \ 1) * x) \ y) / z = ((x \ 1) * x) \ (y / z). [para(5637(a,2),5631(a,2)),flip(a)]. 5643 (x * (1 / x)) \ ((x \ 1) \ y) = (1 / x) \ y. [para(1255(a,1),5639(a,1,1)),flip(a)]. 5644 (x * (1 / x)) \ (y \ z) = y \ ((x * (1 / x)) \ z). [para(5639(a,1),5635(a,1))]. 5645 (1 / x) \ ((x \ 1) * y) = (x * (1 / x)) \ y. [para(13(a,1),5643(a,1,2)),flip(a)]. 5646 L(1 / (1 / x),y,z) \ (((1 / L(x,y,z)) \ 1) * u) = ((1 / L(x,y,z)) * (1 / (1 / L(x,y,z)))) \ u. [para(3267(a,2),5645(a,1,1))]. 5647 (x * (1 / x)) \ (y \ 1) = y \ ((x \ 1) * x). [para(4824(a,1),5644(a,2,2))]. 5648 ((x \ 1) * x) \ (y \ ((x * (1 / x)) \ z)) = y \ z. [para(5644(a,1),5632(a,1,2))]. 5649 (x \ 1) \ (((y \ 1) * y) \ z) = (x \ ((y \ 1) * y)) \ z. [para(5647(a,1),5636(a,1,1)),flip(a)]. 5650 ((x \ 1) * x) \ (y \ (x * z)) = y \ (T(x,x \ 1) * z). [para(4331(a,1),5648(a,1,2,2))]. 5651 ((x \ 1) * x) \ (y \ z) = y \ (((x \ 1) * x) \ z). [para(5633(a,1),5648(a,1,2,2))]. 5652 x \ (((y \ 1) * y) \ (x * z)) = ((y \ 1) * y) \ z. [para(13(a,1),5651(a,1,2)),flip(a)]. 5653 ((x \ 1) * x) \ (y * z) = y * (((x \ 1) * x) \ z). [para(5652(a,1),14(a,1,2)),flip(a)]. 5654 ((x \ 1) * x) \ (y * ((x \ 1) * z)) = y * L(x \ z,x,x \ 1). [para(97(a,2),5653(a,2,2))]. 5655 ((x \ 1) * x) \ (y * x) = y * T(x,x \ 1). [para(657(a,1),5653(a,2,2))]. 5656 (x * (1 / x)) \ (y * T(x,x \ 1)) = y * x. [para(5655(a,1),5633(a,1,2))]. 5657 (x * y) / ((y * (1 / y)) \ z) = (x * T(y,y \ 1)) / z. [para(5655(a,1),5640(a,1,1)),flip(a)]. 5658 ((x \ 1) * x) \ ((y * x) / z) = (y * T(x,x \ 1)) / z. [para(5655(a,1),5642(a,1,1)),flip(a)]. 5659 (x / ((y \ 1) \ 1)) * y = (y * (1 / y)) \ x. [para(474(a,1),5656(a,1,2)),flip(a)]. 5660 (T(x \ (x / y),(x \ (x / y)) \ 1) * T(x,y \ 1)) \ z = (x / y) \ (((x \ (x / y)) * (1 / (x \ (x / y)))) \ z). [para(4887(a,1),5641(a,1,1)),flip(a)]. 5661 ((x \ 1) * x) \ ((y \ 1) \ z) = (y \ ((x \ 1) * x)) \ z. [para(5649(a,1),5651(a,2))]. 5662 T(x,(y * T(z,z \ 1)) / u) = T(x,(y * z) / u). [para(5658(a,1),4341(a,1,2))]. 5663 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5043(a,1),5012(a,1,1,1))]. 5664 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(4529(a,1),5238(a,1,1)),flip(a)]. 5665 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [para(5664(a,2),40(a,2)),flip(a)]. 5666 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(5665(a,1),44(a,1,1)),flip(a)]. 5667 K(x,y) * (K(y,x) * T(K(z,u) \ w,v5)) = T(K(u,z) * w,v5). [para(5406(a,1),5405(a,1)),flip(a)]. 5668 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(5279(a,1),5458(a,1,1))]. 5669 R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). [para(16(a,1),5668(a,2,1,1,2))]. 5670 L(x \ (y * z),x,K(T(y,y * z) * z,y)) = (K(y,T(y,y * z) * z) \ x) \ T(T(T(y,y * z) * z,y),y). [para(3571(a,1),5520(a,1,1,2))]. 5671 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [para(5663(a,2),4229(a,1))]. 5672 R(K(x \ (y / z),x),y / z,z) = K(y / (x * z),x). [para(5669(a,2),5297(a,1))]. 5673 x * (K(x,y) * L(x \ K(y,x),z,u)) = T(x * L(x \ 1,z,u),y). [para(4703(a,1),4575(a,2))]. 5674 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [para(4718(a,1),1571(a,1))]. 5675 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(4651(a,1),4764(a,1,2)),flip(a)]. 5676 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(1522(a,1),5675(a,2,2))]. 5677 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(4604(a,1),4806(a,1,2))]. 5678 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [para(5002(a,2),5386(a,1))]. 5679 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(5678(a,1),3439(a,1,2))]. 5680 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [para(109(a,1),5288(a,2,2))]. 5681 x * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),x). [para(5289(a,1),1877(a,1))]. 5682 T(x * T(x \ y,z),y) != y * u | K((T(y,x) \ x) \ 1,z) = u. [para(5681(a,1),19(a,1))]. 5683 ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). [para(1396(a,1),5314(a,1,1))]. 5684 ((x \ 1) * x) \ (T(x,y) * z) = ((T(x,y) \ 1) \ 1) * z. [para(110(a,1),5316(a,2,1))]. 5685 K(x,y / (K((z \ 1) \ u,z \ 1) \ u)) = K(x,y / ((z \ 1) * (u / (1 / z)))). [para(4822(a,2),5335(a,2,2,2)),flip(a)]. 5687 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(414(a,1),5462(a,1,1,1)),flip(a)]. 5688 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(594(a,1),5466(a,1,1,1))]. 5689 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(61(a,1),5491(a,2,1,1))]. 5690 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(13(a,1),5689(a,1,2,2)),flip(a)]. 5692 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [para(5690(a,2),32(a,2,2)),flip(a)]. 5693 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(2889(a,1),5492(a,2,1))]. 5694 (x \ 1) \ (K(x,y) * z) = K(x,y) * ((x \ 1) \ z). [hyper(71,a,5693,a)]. 5695 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(13(a,1),5693(a,1,2,2)),flip(a)]. 5696 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(32(a,2),5693(a,1,2,2))]. 5698 (x \ 1) \ (y * K(x,y)) = K(x,y) * ((x \ 1) \ y). [para(2784(a,1),5694(a,1,2))]. 5699 K(x,y) * ((x \ 1) \ T(y,x)) = (x \ 1) \ y. [para(4562(a,1),5694(a,1,2)),flip(a)]. 5700 K(T(x,y),y) * ((T(x,y) \ 1) \ T(y,x)) = (T(x,y) \ 1) \ y. [para(3842(a,1),5699(a,1,2,2))]. 5701 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [para(109(a,1),5695(a,2,2))]. 5702 x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). [para(5695(a,2),168(a,1,2))]. 5703 ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). [para(5695(a,1),4912(a,1,2))]. 5704 K(x,x \ y) * ((x \ 1) \ (x \ y)) = (x \ 1) \ (y / x). [para(4618(a,1),5698(a,1,2)),flip(a)]. 5705 ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). [para(4907(a,1),5703(a,1,2,2))]. 5707 ((x \ y) \ ((x \ 1) \ (x \ y))) * (x \ y) = (x \ 1) \ (y / x). [para(5704(a,1),5278(a,1)),flip(a)]. 5708 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [para(5702(a,1),4575(a,1))]. 5709 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(4907(a,1),5708(a,1,1)),flip(a)]. 5710 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(5284(a,1),5496(a,1,2)),flip(a)]. 5711 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(3962(a,1),5581(a,1,2))]. 5712 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(3962(a,1),5582(a,1,2))]. 5713 K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y). [para(5596(a,2),5292(a,1))]. 5714 K(x,y * ((z \ L(u,1 / z,z)) * w)) = K(x,y * (((1 / z) * u) * w)). [para(2508(a,1),5597(a,1,2,2,1)),flip(a)]. 5715 K(((x \ 1) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(5607(a,1),5321(a,1)),flip(a)]. 5716 ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). [para(5607(a,1),5436(a,2))]. 5717 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(256,a,5608,a)]. 5718 ((x \ y) \ 1) \ ((y \ x) * y) = x / ((x \ y) \ 1). [para(59(a,1),5625(a,1,1)),flip(a)]. 5719 ((x \ y) \ 1) * (x / ((x \ y) \ 1)) = (y \ x) * y. [para(5718(a,1),14(a,1,2))]. 5720 R((x \ y) * x,y \ x,(y \ x) \ 1) = ((y \ x) \ 1) * (y * (y \ x)). [para(5719(a,1),3496(a,1,1))]. 5721 K(x,y) \ T(K(z,u) * w,v5) = K(y,x) * T(K(u,z) \ w,v5). [hyper(71,a,5667,a)]. 5723 T(K(x,y) * z,u) != K(w,v5) * v6 | K(v5,w) * T(K(y,x) \ z,u) = v6. [para(5667(a,1),19(a,1))]. 5724 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(4752(a,1),5674(a,1,2)),flip(a)]. 5725 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [para(5724(a,2),4744(a,1))]. 5726 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(14(a,1),5725(a,1,1,1)),flip(a)]. 5727 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [para(5677(a,2),5369(a,1))]. 5728 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [para(5679(a,1),2607(a,1))]. 5729 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(5679(a,1),3448(a,1,1)),flip(a)]. 5731 K(x,y) * ((T(x,y) \ 1) \ T(y,x)) = (T(x,y) \ 1) \ y. [para(4748(a,1),5700(a,1,1))]. 5732 T(x \ y,x) / ((x \ 1) \ (x \ y)) = (x \ y) / ((x \ 1) \ (y / x)). [para(5707(a,1),4049(a,2,2))]. 5733 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(5710(a,2),19(a,1))]. 5734 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). [para(14(a,1),5715(a,2,2,2,1))]. 5735 1 / ((1 / x) * (y \ T(y * x,z))) = K(z,((x \ 1) * (y \ 1)) \ 1). [para(5715(a,1),4801(a,1,2))]. 5736 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(5721(a,1),4366(a,1,1))]. 5737 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(13(a,1),5736(a,1,1,2,1)),flip(a)]. 5738 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(5737(a,2),20(a,1))]. 5739 T(x * ((1 / (1 / y)) / x),K(z,y)) != y * u | (y \ 1) * (x * (y / x)) = u. [para(4484(a,2),399(a,1))]. 5740 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(4907(a,1),4955(a,1,2,2)),flip(a)]. 5741 K(x * y,(x * y) \ y) = K(y * x,x \ 1). [hyper(5229,a,5573,a)]. 5742 (1 / x) * (L(x,y,z) \ x) = (L(x,y,z) \ x) / x. [para(5420(a,1),5123(a,1))]. 5743 ((L(x,y,z) \ x) / x) / (L(x,y,z) \ x) = 1 / x. [hyper(78,a,5742,a)]. 5744 T(L(x,y,z) \ x,x \ 1) / x = (L(x,y,z) \ x) * (1 / x). [para(5743(a,1),3599(a,2,2))]. 5746 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [para(5443(a,2),265(a,1))]. 5748 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(899(a,1),5746(a,1,2))]. 5749 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(37,a,5748,a)]. 5750 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(35,a,5749,a)]. 5751 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(901(a,2),5750(a,1,1))]. 5752 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(5751(a,1),3804(a,1,2)),flip(a)]. 5753 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [para(5752(a,2),3198(a,1))]. 5754 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(901(a,1),5753(a,1,1))]. 5755 (x \ L(x,y,z)) * K((L(x,y,z) \ 1) \ 1,u) = (x \ 1) * T((x \ 1) \ (x \ L(x,y,z)),u). [para(5754(a,1),4837(a,2,2,1,1)),flip(a)]. 5756 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(4469(a,2),5586(a,1,2))]. 5757 ((x \ 1) * x) \ (y * ((x \ 1) * z)) = y * ((1 / x) * z). [para(2495(a,1),5654(a,2,2))]. 5758 ((T(x,y) \ 1) \ 1) * ((x \ 1) * z) = T(x,y) * ((1 / x) * z). [para(5757(a,1),5684(a,1)),flip(a)]. 5759 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(3979(a,1),5726(a,1,1)),flip(a)]. 5760 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [para(5759(a,2),3562(a,1))]. 5761 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(18,a,4745,a,b,5760,a)]. 5762 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [para(5761(a,2),5035(a,2)),flip(a)]. 5763 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(3966(a,1),5762(a,1,2))]. 5764 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(5763(a,1),61(a,1,1))]. 5765 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5035(a,1),5764(a,1,1))]. 5766 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4572(a,2),5765(a,1,1,2))]. 5767 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [para(5756(a,1),95(a,1)),flip(a)]. 5768 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(3597(a,1),5767(a,1,2)),flip(a)]. 5773 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(3165(a,1),5768(a,1,1,2))]. 5774 (x * K(y,z)) * y = x * T(y,z). [para(2687(a,1),5773(a,2,2))]. 5775 R(x,K(y,z),y) = x. [hyper(4695,a,5774,a)]. 5776 (x * T(y,z)) / y = x * K(y,z). [hyper(78,a,5774,a)]. 5777 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(71,a,5774,a)]. 5778 (x / y) * T(y,z) = x * K(y,z). [hyper(18,a,944,a,b,5774,a),flip(a)]. 5779 (x * y) * K(y,z) = x * T(y,z). [hyper(18,a,939,a,b,5774,a)]. 5780 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(18,a,4053,a(flip),b,5774,a)]. 5781 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(5774(a,1),24(a,2,1,2)),flip(a)]. 5782 (x * (y * K(z,u))) \ (x * (y * T(z,u))) = L(z,y * K(z,u),x). [para(5774(a,1),28(a,2,2,2)),flip(a)]. 5783 x \ (y * T(x,z)) = T(y * K(x,z),x). [para(5774(a,1),32(a,2,2)),flip(a)]. 5784 x * T(y * K(x,z),x) = y * T(x,z). [para(5774(a,1),109(a,2))]. 5786 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(5774(a,1),142(a,2,1))]. 5788 (x \ K(x,y)) * x = (x \ 1) * T(x,y). [para(3092(a,1),5774(a,1,1))]. 5789 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(4558(a,1),5774(a,1,1))]. 5790 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(5774(a,1),5232(a,1,2,1))]. 5791 (x / T(y,z)) * K(y,z) = x / y. [para(16(a,1),5776(a,1,1)),flip(a)]. 5793 (1 / x) * K(x,y) = K(x,y) / x. [para(4610(a,2),5776(a,1,1)),flip(a)]. 5794 ((x * y) * K(L(z,y,x),u)) \ (x * (y * T(z,u))) = L(z,y,x). [para(336(a,1),5777(a,1,2))]. 5795 L(x,K(x,y),z) = x. [para(5777(a,1),4668(a,1)),flip(a)]. 5796 L(T(x,y),K(x,z),u) = T(x,y). [para(5795(a,1),40(a,2,1))]. 5797 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(5795(a,1),338(a,1,2,1))]. 5798 L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. [para(5795(a,1),4467(a,1,1,2)),flip(a)]. 5800 (x * K(y,z)) \ (x * y) = y * K(z,y). [para(5795(a,1),5499(a,1)),flip(a)]. 5801 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(5796(a,1),45(a,1,1)),flip(a)]. 5802 (x * K(y,z)) * L(T(y,u),w,v5) = x * (K(y,z) * L(T(y,u),w,v5)). [para(5796(a,1),338(a,1,2,1))]. 5803 (x * K(y,z)) / T(y,z) = x / y. [hyper(78,a,5778,a)]. 5804 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(71,a,5778,a)]. 5806 ((x * y) * z) * K(y * z,u) = R(x,y,z) * T(y * z,u). [para(30(a,2),5778(a,1,1)),flip(a)]. 5807 x * T(x \ y,z) = y * K(x \ y,z). [para(59(a,1),5778(a,1,1))]. 5809 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(5778(a,1),691(a,1,2,1))]. 5810 ((x / y) * L(y,z,u)) * T(y,w) = (x * L(y,z,u)) * K(y,w). [para(1466(a,1),5778(a,1,1))]. 5811 (K(x,y) / z) * T(z,u) = K(y,x) \ K(z,u). [para(5778(a,2),4906(a,2)),flip(a)]. 5812 (x * K(y,z)) / y = (x / y) * K(y,z). [para(5778(a,1),5776(a,1,1))]. 5813 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [para(5778(a,1),5777(a,1,2))]. 5814 R(x,y,K(y,z)) = x. [hyper(4665,a,5779,a)]. 5815 L(K(x,y),x,z) = K(x,y). [hyper(4664,a,5779,a)]. 5816 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(71,a,5779,a)]. 5818 ((x * (y * z)) * K(z,u)) / (y * T(z,u)) = R(x,y * z,K(z,u)). [para(5779(a,1),30(a,2,2)),flip(a)]. 5819 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [para(5779(a,1),32(a,2,2)),flip(a)]. 5821 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(5779(a,1),393(a,1,2))]. 5822 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(5779(a,1),365(a,1,1))]. 5824 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(4535(a,1),5779(a,1,1)),flip(a)]. 5826 (x * K(y,z)) * y = (x * y) * K(y,z). [para(5779(a,2),5774(a,2))]. 5832 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(5815(a,1),426(a,1,2,1))]. 5834 L(K(x,y),x,z) \ (T(x,y) * u) = x * u. [para(5815(a,2),4629(a,1,1))]. 5835 L(K(x,y),x,z) \ u = T(x,y) \ (x * u). [para(5815(a,2),4854(a,2,1)),flip(a)]. 5836 L(K(x / y,z),x / y,u) = K((y / x) \ 1,z). [para(5815(a,2),5297(a,2)),flip(a)]. 5838 L(K(x,y),x,z) = L(K(x,y),x,u). [para(5815(a,2),5815(a,2))]. 5839 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(71,a,5780,a),flip(a)]. 5840 x * K(y,z) != y \ z | y \ T(z,y) = x. [para(5780(a,1),20(a,1)),flip(a)]. 5842 (x / (y \ z)) * K(z / y,y) = x / (z / y). [para(111(a,1),5791(a,1,1,2))]. 5843 ((x \ y) * x) / T(y * (x \ 1),x) = y / (y * (x \ 1)). [para(5568(a,1),5803(a,1,1))]. 5844 (K(x,y) / z) \ (K(y,x) \ K(z,u)) = T(z,u). [para(4906(a,2),5804(a,1,2))]. 5845 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(5804(a,1),5391(a,1,2))]. 5846 x \ (y * T(y \ x,z)) = K(y \ x,z). [para(14(a,1),5816(a,1,1))]. 5851 (x * (y / x)) \ (K(x,x \ y) * T(y,z)) = K(y,z). [para(4626(a,1),5816(a,1,1))]. 5852 ((x \ 1) * x) \ T(x,y) = (x \ 1) \ K(x,y). [para(5816(a,1),5652(a,1,2)),flip(a)]. 5856 L(K(x,y),x,z) = K((u \ (u / x)) \ 1,y). [para(5838(a,1),5450(a,1))]. 5858 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x \ 1,u,w)). [para(5788(a,1),5407(a,2))]. 5859 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(5800(a,1),14(a,1,2))]. 5860 x / (y * K(z,y)) = (x / y) * K(y,z). [para(5800(a,1),243(a,1,2))]. 5861 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(5282,a,5807,a)]. 5864 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(5807(a,1),642(a,1)),flip(a)]. 5865 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(5807(a,1),690(a,1))]. 5866 (x * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). [para(5807(a,1),731(a,1,1))]. 5867 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(5807(a,1),1877(a,2,1))]. 5868 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(5807(a,2),2019(a,1,1))]. 5869 R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. [para(5807(a,2),2798(a,1,1,1)),flip(a)]. 5872 K(x / y,z) * x = x * K(y \ x,z). [para(5807(a,1),4579(a,2))]. 5873 K((x * y) \ x,z) = K(y \ 1,z). [para(13(a,1),5861(a,1,1,1)),flip(a)]. 5874 K(((x * y) \ x) \ 1,z) = K(y,z). [para(13(a,1),5861(a,2,1))]. 5875 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(32(a,2),5861(a,1,1,1))]. 5876 K(x \ (x / y),z) = K(y \ 1,z). [para(61(a,1),5861(a,1,1,1)),flip(a)]. 5877 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(97(a,2),5861(a,1,1,1))]. 5879 K((x \ y) \ 1,(y \ x) \ 1) = K(y \ x,x \ y). [para(5861(a,2),2064(a,1))]. 5881 T(x,(y \ z) \ 1) = K(z \ y,x) \ x. [para(5861(a,1),4563(a,2,1))]. 5882 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [para(5861(a,1),4796(a,1,1)),flip(a)]. 5883 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(4906(a,1),5861(a,1,1,1))]. 5885 T(x,(y \ z) \ x) * K(z \ y,x) = L(x,(y \ z) \ 1,x). [para(5861(a,1),5019(a,1,2))]. 5886 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(5861(a,1),5440(a,1,1)),flip(a)]. 5887 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(5861(a,1),5544(a,2,2))]. 5888 x \ (y \ ((z \ (y * x)) * z)) = K((y \ z) \ x,z). [para(5861(a,1),5291(a,2))]. 5889 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [para(5861(a,1),5294(a,2))]. 5890 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(5861(a,1),5595(a,1,2))]. 5891 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(5861(a,1),5680(a,1,2))]. 5892 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [para(5861(a,1),5713(a,1)),flip(a)]. 5893 L(K(x \ y,z),x \ y,u) = K((y \ x) \ 1,z). [para(5861(a,2),5815(a,2))]. 5894 K(L(x \ 1,x,y),z) = K(x \ 1,z). [para(142(a,2),5873(a,1,1))]. 5895 K((x * y) \ x,z) = K(1 / y,z). [para(5873(a,2),2888(a,2)),flip(a)]. 5901 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [para(5874(a,1),4760(a,1,2)),flip(a)]. 5902 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(5874(a,1),4667(a,1,2))]. 5918 x / (x / (x * y)) = (x * y) * K(1 / y,x * y). [para(5895(a,1),4518(a,2,2))]. 5919 K(x / (x * y),x * y) = K(1 / y,x * y). [para(5895(a,1),4750(a,2))]. 5924 (x * y) / ((z * y) / z) = x * K(y,z). [hyper(5121,a,5859,a)]. 5927 x / ((y * z) / y) = (x / z) * K(z,y). [para(4572(a,2),5860(a,1,2))]. 5928 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(4618(a,1),5860(a,1,2)),flip(a)]. 5929 x / (y / (y / z)) = (x / z) * K(z,y / z). [para(4717(a,2),5860(a,1,2))]. 5930 K(x / y,x) = K(y \ x,x). [hyper(18,a,2784,a,b,5872,a)]. 5931 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(18,a,2789,a(flip),b,5872,a)]. 5932 T(K(x / y,z),x) = K(y \ x,z). [hyper(150,a,5872,a(flip))]. 5933 K((x \ y) \ y,y) = K(x,y). [para(59(a,1),5930(a,1,1)),flip(a)]. 5934 (x / (x / y)) \ L(y,y \ x,y) = K((x / y) \ x,x). [para(5930(a,1),4631(a,2))]. 5935 K((x \ y) \ y,z) = T(K(x,z),y). [para(59(a,1),5932(a,1,1,1)),flip(a)]. 5936 K((x * y) \ y,T(x,z)) = K(x \ 1,x). [para(5875(a,1),2995(a,1))]. 5937 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [para(5875(a,1),5242(a,1))]. 5938 T(x,(y \ z) \ 1) = T(x,z \ y). [para(5881(a,2),4563(a,2)),flip(a)]. 5939 T(x,(y * z) \ y) = T(x,z \ 1). [para(13(a,1),5938(a,1,2,1)),flip(a)]. 5942 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(32(a,2),5938(a,1,2,1))]. 5943 T(x,y \ (y / z)) = T(x,z \ 1). [para(61(a,1),5938(a,1,2,1)),flip(a)]. 5944 ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1). [para(5938(a,1),109(a,1,2))]. 5945 T(x,L(y \ 1,y,z) \ 1) = T(x,z \ (z * y)). [para(142(a,2),5938(a,1,2,1))]. 5947 T(x,1 / (y \ z)) = T(x,z \ y). [para(5938(a,1),2686(a,2))]. 5948 (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). [para(5938(a,1),2697(a,1,2))]. 5949 (x \ y) * (z * (((x \ y) \ z) / z)) = T(z,y \ x). [para(5938(a,1),3597(a,2))]. 5950 T(x,x \ y) / (y \ x) = x * (y / x). [para(5938(a,1),3607(a,1,1))]. 5951 (x \ y) \ T(y,y \ x) = y * (T(x,x \ y) / y). [para(5938(a,1),3603(a,1,2))]. 5952 T(x,y \ z) / ((z \ y) \ x) = x / ((x \ ((z \ y) \ x)) * x). [para(5938(a,1),3953(a,1,1))]. 5953 T(x * y,y \ 1) = ((x * y) \ x) \ x. [para(5939(a,1),110(a,1))]. 5954 x / T(x * y,y \ 1) = (x * y) \ x. [para(5939(a,1),176(a,1,2))]. 5955 T(K(x,y),(z * y) \ z) = K(x,y). [para(5939(a,2),1931(a,1))]. 5956 T(x,L(y,y \ 1,z)) = T(x,(1 / y) \ 1). [para(2373(a,2),5939(a,1,2))]. 5958 T(T(x \ (x / y),z),y \ 1) = T(x \ (x / y),z). [para(5943(a,1),119(a,1))]. 5959 T(x,y \ (y / z)) = T(x,1 / z). [para(5943(a,2),2686(a,2)),flip(a)]. 5960 T(x,y \ (y / z)) = T(x,(z \ u) / u). [para(5943(a,2),3939(a,2)),flip(a)]. 5961 T(x,(x / y) / x) = T(x,1 / y). [para(5959(a,1),3849(a,2))]. 5962 K(x,(y \ z) \ 1) = K(x,z \ y). [para(5882(a,2),4796(a,1))]. 5964 K(x,((y * z) \ y) \ 1) = K(x,z). [para(13(a,1),5962(a,2,2))]. 5965 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(24(a,2),5962(a,1,2,1)),flip(a)]. 5966 K(x,y \ (y / z)) = K(x,z \ 1). [para(61(a,1),5962(a,1,2,1)),flip(a)]. 5967 K(x,(y \ (y / z)) \ 1) = K(x,z). [para(61(a,1),5962(a,2,2))]. 5968 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(97(a,2),5962(a,1,2,1))]. 5969 K(x,L(y,z \ 1,z) \ z) = K(x,((z \ 1) * y) \ 1). [para(398(a,1),5962(a,1,2,1)),flip(a)]. 5970 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(499(a,1),5962(a,1,2,1)),flip(a)]. 5971 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). [para(799(a,1),5962(a,1,2,1))]. 5973 K(x,1 / (y \ z)) = K(x,z \ y). [para(5962(a,1),3166(a,2))]. 5975 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(4906(a,1),5962(a,1,2,1))]. 5976 K(x,(y \ K(z,u)) \ 1) = K(x,K(u,z) * y). [para(4906(a,1),5962(a,2,2))]. 5977 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(5962(a,1),5416(a,1,1)),flip(a)]. 5978 T(x \ y,z) * T(x,x \ y) = K(z,(y \ x) \ 1) \ y. [para(5962(a,2),4989(a,2,1))]. 5979 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(5962(a,1),5064(a,1,2))]. 5980 K(x,y / z) * y = y * K(x,z \ y). [para(5962(a,1),5483(a,1,2)),flip(a)]. 5981 T(K(x,y / z),y) = K(x,z \ y). [para(5962(a,1),5484(a,2))]. 5985 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [para(5964(a,1),5564(a,2))]. 5987 K(x,y \ (y / z)) = K(x,1 / z). [para(5966(a,2),3166(a,2)),flip(a)]. 5988 K(x,y \ (y / z)) = K(x,u / (z * u)). [para(5966(a,2),5110(a,2)),flip(a)]. 5989 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(28(a,2),5973(a,1,2,2)),flip(a)]. 5990 K(x,1 / (y \ x)) = K(x,y / x). [para(5973(a,2),4770(a,2)),flip(a)]. 5991 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(5973(a,1),5572(a,2,2))]. 5992 K(x,(y \ z) \ z) = T(K(x,y),z). [para(59(a,1),5981(a,1,1,2)),flip(a)]. 5993 K(x,x / y) = K(x,y \ x). [para(5981(a,1),2894(a,1)),flip(a)]. 5994 T(x,K(y,x / z)) = T(x,K(y,z \ x)). [para(5981(a,1),3842(a,1,2)),flip(a)]. 5995 K(x,K(y,x / z)) = K(x,K(y,z \ x)). [para(5981(a,1),4765(a,1,2)),flip(a)]. 5996 K(x,(y \ x) \ x) = K(x,y). [para(59(a,1),5993(a,1,2)),flip(a)]. 5997 (x / y) * K(x,1 / y) = x * ((x / y) / x). [para(5987(a,1),4792(a,1,2))]. 5998 K(x,T(y,y \ z)) = T(K(x,y),z). [para(110(a,2),5992(a,1,2))]. 6001 (x / (y * K(z,y))) * y = x * K(y,z). [para(5924(a,1),4732(a,1)),flip(a)]. 6004 K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(104(a,1),5936(a,1,1,1))]. 6007 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(5942(a,2),176(a,1,2))]. 6008 T(x,x \ (y * x)) / ((y * x) \ x) = x * y. [para(15(a,1),5950(a,2,2))]. 6009 (x * (y / x)) \ ((x \ y) \ y) = y \ x. [para(5950(a,1),477(a,1,1))]. 6010 T(x,y / x) / (y \ x) = x * (y / x). [para(3849(a,2),5950(a,1,1))]. 6011 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [para(142(a,2),5953(a,2,1)),flip(a)]. 6012 x / T(x * y,y \ 1) = L(y \ 1,y,x). [para(5954(a,2),142(a,2)),flip(a)]. 6013 K(x,R(x,y,z) / u) = K(x,u \ R(x,y,z)). [hyper(18,a,2901,a(flip),b,5980,a)]. 6014 K(x,y \ (y / z)) = K(x,((z * u) \ u) * K(z * u,1 / z)). [para(5120(a,2),5988(a,2,2))]. 6015 T(x,K(y,(z / x) \ 1)) = T(x,K(y,z \ x)). [para(5109(a,2),5994(a,1,2))]. 6016 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(4518(a,2),6001(a,1,1,2))]. 6017 (x / (y / z)) * (z \ y) = x * K(z \ y,z). [para(4618(a,1),6001(a,1,1,2))]. 6018 ((x \ y) \ y) / (((x \ y) \ y) / (x * (y / x))) = (x * (y / x)) * K(y \ x,x * (y / x)). [para(6009(a,1),4518(a,2,2,1))]. 6019 L(K(x,y),x,z) = (T(x,y) * u) / (x * u). [para(5834(a,1),59(a,1,2)),flip(a)]. 6020 L(K(x,y),x,z) \ (u \ (u / x)) = T(1 / (u \ (u / x)),y) \ 1. [para(5856(a,2),4845(a,2,1)),flip(a)]. 6021 T(x,L(y,y \ 1,z)) = T(x,y). [para(61(a,1),5956(a,2,2))]. 6022 L(x \ 1,x,y) \ y = T(y * x,1 / x). [para(6011(a,2),2686(a,2)),flip(a)]. 6023 T(x,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1). [para(6011(a,1),3788(a,1,2,2))]. 6024 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(4418(a,1),6012(a,1,2))]. 6025 T(L(K(x,y),x,z),x * u) = (x * u) \ (T(x,y) * u). [para(6019(a,2),111(a,1,1))]. 6026 L(K(x,y),x,z) = (T(x,y) * R(x \ 1,x,u)) / ((u / (x * u)) * x). [para(466(a,2),6019(a,2,2))]. 6027 T(x * y,K(y,z)) = y * T(x,T(y,z)). [para(5819(a,1),4746(a,1))]. 6028 T(x * y,K(y,z)) / y = T((y * x) / y,T(y,z)). [para(6027(a,2),315(a,1,1))]. 6029 T(T(x,y) * y,K((x * y) / x,z)) = ((x * y) / x) * T(x,T((x * y) / x,z)). [para(3550(a,2),6027(a,1,1))]. 6030 (x * (y / x)) * K(x / y,y) = T(x,y / x) / (x / y). [para(6010(a,1),5842(a,1,1))]. 6031 x \ T(x * y,z) != y * u | K((x \ 1) \ y,z) = u. [para(5864(a,2),19(a,1))]. 6032 (x / y) * K((y \ 1) \ (x / y),z) = T(x,z) / y. [para(5864(a,1),4342(a,1))]. 6033 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(5864(a,1),4367(a,1,1))]. 6034 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [para(5864(a,1),4346(a,1)),flip(a)]. 6035 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [para(5868(a,1),5436(a,1)),flip(a)]. 6036 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6035(a,1),5617(a,1,2,2))]. 6037 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(5883(a,1),5239(a,2,1))]. 6038 K(1 / (x / y),y * (x / y)) = K(y / x,x). [para(5919(a,1),5626(a,1))]. 6041 K(x,1 / x) * (y / x) = y / (1 / (1 / x)). [para(5929(a,2),2583(a,2))]. 6042 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,u \ K(z,y)). [para(4577(a,2),5975(a,1,2,1))]. 6043 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [para(5979(a,2),1960(a,1)),flip(a)]. 6044 T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(5997(a,2),6010(a,2))]. 6045 T(x,T(y,x)) / ((y * x) \ x) = x * y. [para(32(a,2),6008(a,1,1,2))]. 6046 T(x,y) / ((y * x) \ x) = x * y. [para(3842(a,1),6045(a,1,1))]. 6047 T(x,y) = (x * y) * ((y * x) \ x). [para(6046(a,1),16(a,1,1)),flip(a)]. 6048 (x * y) \ T(x,y) = (y * x) \ x. [para(6046(a,1),61(a,1,1))]. 6049 ((x \ y) * x) \ x = y \ T(x,x \ y). [para(14(a,1),6048(a,1,1)),flip(a)]. 6050 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(169(a,1),6048(a,1,1))]. 6051 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((x * y) \ T(x,y)) \ 1,z,u). [para(6048(a,1),1537(a,1,1)),flip(a)]. 6052 (x / y) \ T(x,y \ 1) = ((x \ (x / y)) * x) \ x. [para(4596(a,1),6049(a,2,2)),flip(a)]. 6055 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [para(15(a,1),6017(a,1,1)),flip(a)]. 6056 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6036(a,1),1636(a,2,2,1))]. 6057 (x / y) * (z * K(y,1 / y)) = (x / (1 / (1 / y))) * z. [para(6041(a,1),4295(a,1,1)),flip(a)]. 6060 x * K(y \ z,y) != u * (y \ z) | u * (z / y) = x. [para(6055(a,1),20(a,1)),flip(a)]. 6061 L(x * y,K(y * x,z),u) = x * y. [para(13(a,1),5798(a,2,1))]. 6062 (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). [para(6061(a,1),95(a,1,2))]. 6063 T(x,L(y \ 1,y,z) \ 1) = T(x,y). [para(13(a,1),5945(a,2,2))]. 6065 K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). [para(5824(a,2),4383(a,2))]. 6066 x * K((y \ 1) \ (y \ z),u) != y \ T(z,u) | y \ z = x. [para(5865(a,1),20(a,1)),flip(a)]. 6067 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))). [para(5865(a,1),3574(a,1,2,2)),flip(a)]. 6068 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [para(5866(a,1),5207(a,1)),flip(a)]. 6069 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(4512(a,1),5889(a,1,2))]. 6071 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(17,a,5890,a,b,5891,a)]. 6072 1 / K((x * y) \ z,x) = K(x,(y * x) \ z). [para(6071(a,1),4801(a,1,2))]. 6073 K(x,(y * x) \ z) = K(x,(x * y) \ z). [para(6072(a,1),4801(a,1))]. 6074 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [para(5892(a,1),5861(a,1))]. 6075 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(142(a,2),5901(a,1,1,1))]. 6078 (x * ((x * y) / x)) * K(1 / ((x * y) / x),x * ((x * y) / x)) = x / (x / (T(x,y) * y)). [para(3550(a,2),5918(a,1,2,2)),flip(a)]. 6079 T(x,((x * y) * K(1 / y,x * y)) / x) = T(x,1 / (x / (x * y))). [para(5918(a,1),5961(a,1,2,1))]. 6080 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(2495(a,1),5977(a,1,2,1)),flip(a)]. 6081 (T(x,y) / z) / K((z \ 1) \ (x / z),y) = x / z. [hyper(78,a,6032,a)]. 6082 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5054(a,1),6034(a,2,2))]. 6083 K((x / y) \ z,x) = K((y \ x) \ z,x). [para(6069(a,1),5888(a,1))]. 6084 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [para(5877(a,1),5886(a,1)),flip(a)]. 6085 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(14(a,1),6084(a,2,1,1))]. 6086 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(14(a,1),6084(a,2,1,2))]. 6087 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(61(a,1),6084(a,1,1,1)),flip(a)]. 6088 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(109(a,1),6084(a,2,1,2))]. 6089 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(97(a,2),6084(a,2,1))]. 6090 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(4907(a,1),6084(a,2,1,1))]. 6091 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [para(6084(a,2),5180(a,1))]. 6092 L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u). [para(532(a,2),6089(a,2,1))]. 6093 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(2495(a,1),6089(a,2,1))]. 6094 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [para(6085(a,1),95(a,1,2))]. 6095 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(99(a,2),6087(a,1,1))]. 6096 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(15(a,1),6095(a,1,1,2)),flip(a)]. 6097 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [para(6095(a,1),4796(a,1,1)),flip(a)]. 6098 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(6096(a,1),388(a,1,2))]. 6099 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(6097(a,2),5493(a,1))]. 6100 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(15(a,1),6099(a,1,2,2)),flip(a)]. 6101 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(59(a,1),6099(a,1,2,2)),flip(a)]. 6102 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(99(a,1),6099(a,1,2))]. 6103 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(407(a,1),6099(a,1,2))]. 6104 K(x,L(1 / y,y,z)) = K(x,1 / y). [para(6100(a,1),4277(a,1))]. 6105 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(97(a,1),6101(a,2,2))]. 6106 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(193(a,1),6101(a,2,2))]. 6107 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(343(a,1),6101(a,2,2))]. 6108 L(K(x,y \ z),z,y \ 1) = K(x,(1 / y) * z). [para(2495(a,1),6101(a,2,2))]. 6109 K(x,L(y \ z,y,K(z,u))) = K(x,y \ z). [para(6101(a,1),3780(a,1))]. 6110 K(x,(K(y,z) * u) \ T(y,z)) = K(x,u \ y). [para(4689(a,1),6109(a,1,2))]. 6111 L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). [para(6093(a,2),5047(a,1))]. 6112 K(x,(y * z) \ (y * x)) = K(x,z \ x). [para(6105(a,1),5815(a,1))]. 6113 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(14(a,1),6112(a,1,2,1)),flip(a)]. 6114 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [para(14(a,1),6112(a,1,2,2))]. 6115 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(6112(a,1),4597(a,2,2))]. 6116 K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). [para(4907(a,1),6112(a,1,2,1)),flip(a)]. 6117 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(5554(a,2),6113(a,1,2,1))]. 6118 T(x,(y * z) \ (y * x)) = T(x,z \ x). [para(6115(a,2),4597(a,2)),flip(a)]. 6119 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(14(a,1),6118(a,1,2,1)),flip(a)]. 6120 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6107(a,1),40(a,2,1))]. 6121 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(6107(a,1),95(a,1,2))]. 6122 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [para(6107(a,1),6085(a,1))]. 6123 L(K(x,y \ z),z,y \ 1) = K(x,(y \ 1) * z). [para(6108(a,2),5084(a,1))]. 6125 K(x,y) = (y / (y / x)) \ L(x,x \ y,x). [para(61(a,1),5934(a,2,1)),flip(a)]. 6127 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(294(a,2),5989(a,1,2))]. 6128 L(T(K(x,y),x * z),x,u) = (x * z) \ (T(x,y) * z). [para(6025(a,1),40(a,2))]. 6129 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1353(a,1),6075(a,2,2))]. 6130 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [para(6080(a,2),5096(a,1))]. 6131 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(6086(a,1),327(a,1,2)),flip(a)]. 6132 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6083(a,1),6086(a,1,1))]. 6133 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(4912(a,1),6103(a,1,2,1,2)),flip(a)]. 6134 L(K(x,T(y,y * z) \ (z \ u)),z \ u,z) = K(x,(L(y,z,y) * z) \ u). [para(503(a,1),6106(a,2,2,1))]. 6135 L(K(x,R(y,z,y) \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [para(3962(a,1),6106(a,2,2,1))]. 6136 K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). [para(61(a,1),6130(a,1,1,2)),flip(a)]. 6137 (1 / x) \ K(y,((x \ 1) * z) \ 1) = x * K(y,z \ x). [para(6130(a,1),2506(a,1,2))]. 6138 K(x \ R(x,y,z),x) != (x \ 1) * u | T(x,R(x \ 1,w,v5)) = u. [para(5858(a,2),19(a,1))]. 6139 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [para(5867(a,1),5846(a,1,2))]. 6140 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(61(a,1),6139(a,1,2,1,2,1)),flip(a)]. 6141 (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). [para(13(a,1),5948(a,1,2,2))]. 6142 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2095(a,2),5970(a,1,2))]. 6143 K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). [para(5971(a,1),6042(a,1))]. 6144 K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). [para(14(a,1),6143(a,1,2,1)),flip(a)]. 6145 K(x,((y / z) \ y) \ 1) \ (y / z) = T(y \ (y / z),x) * T(y,z \ 1). [para(4596(a,1),5978(a,1,2)),flip(a)]. 6146 (x * ((x * y) / x)) * K(x / (x * y),x * y) = T(x,y * K(x,y)) / (x / (x * y)). [para(4572(a,1),6030(a,2,1,2))]. 6147 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(4652(a,1),6037(a,1,1,1)),flip(a)]. 6148 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(6147(a,1),109(a,1,2)),flip(a)]. 6149 K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). [para(6057(a,1),5089(a,1,2))]. 6150 L(x \ 1,x,y * K(x,z)) = L(x \ 1,T(x,z),y). [para(5786(a,2),4758(a,1))]. 6151 T(x,y \ (z * x)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(6119(a,1),5885(a,1,1))]. 6152 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(356(a,2),5965(a,1,2))]. 6153 T(x,x \ T(x * y,y \ 1)) = T(x,y). [para(6023(a,2),6063(a,1))]. 6154 T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,y). [para(16(a,1),6153(a,1,2,2,1))]. 6156 T(x / y,(x / y) \ T(x,y \ 1)) = y \ x. [para(6154(a,2),111(a,1))]. 6157 T(x,y \ 1) / (y \ x) = (x / y) \ T(x,y \ 1). [para(6156(a,1),176(a,1,2))]. 6158 T(x,(y \ 1) \ 1) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(2687(a,1),6157(a,2,2))]. 6159 ((x / y) \ T(x,y \ 1)) \ x = (x \ (y \ x)) * x. [para(6157(a,1),3957(a,1,1))]. 6160 (((x \ (x / y)) * x) \ x) \ x = (x \ (y \ x)) * x. [para(6052(a,1),6159(a,1,1))]. 6161 (((x \ y) * x) \ x) \ x = (x \ ((y \ x) \ x)) * x. [para(59(a,1),6160(a,1,1,1,1,2))]. 6162 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(61(a,1),6024(a,1,2,2)),flip(a)]. 6163 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(6127(a,1),3279(a,2))]. 6164 T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(5961(a,1),6044(a,1,1))]. 6165 (x / y) * K(x,1 / y) = T(x,1 / y) / y. [para(61(a,1),6164(a,1,2)),flip(a)]. 6166 (T(x,1 / y) / y) / T(x,1 / y) = (x / y) / x. [para(6165(a,1),5803(a,1,1))]. 6167 (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). [para(6065(a,1),6062(a,2,2))]. 6168 (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. [para(6094(a,1),19(a,1)),flip(a)]. 6169 K(x,(y \ z) \ K(u,y)) = K(x,z \ (y * K(u,y))). [hyper(5222,a,6121,a),flip(a)]. 6170 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(6121(a,1),19(a,1)),flip(a)]. 6171 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(50(a,1),6122(a,2,1))]. 6172 K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). [para(1001(a,1),6122(a,2,1))]. 6173 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(50(a,1),6141(a,2,2))]. 6174 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(259,a,6173,a),flip(a)]. 6175 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [hyper(17,a,175,a(flip),b,6173,a)]. 6176 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(2687(a,1),6158(a,1,1))]. 6177 ((x / (y \ 1)) \ T(x,y)) \ T(x,y) = (y \ 1) \ x. [para(6176(a,1),61(a,1,1))]. 6178 ((x / y) / (y \ 1)) \ T(x / y,y) = (y \ x) / ((y \ 1) \ (x / y)). [para(111(a,1),6176(a,1,1)),flip(a)]. 6179 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [para(6167(a,2),4907(a,1))]. 6180 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(18,a,5414,a,b,6179,a),flip(a)]. 6181 K(x,y) \ K(y * x,z) = (x * y) \ T(y * x,z). [para(6180(a,2),4906(a,2))]. 6182 T(1 / (x \ (x / y)),z) \ 1 = K(y,z) \ (x \ (x / y)). [para(261(a,1),6020(a,1,1)),flip(a)]. 6183 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [para(6132(a,1),6086(a,1))]. 6184 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(14(a,1),6183(a,2,1,1))]. 6185 K(((x \ y) * x) \ z,y) = K(y \ z,y). [para(59(a,1),6184(a,1,1,1,2))]. 6186 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(5615(a,2),6133(a,2,2,1))]. 6187 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(6148(a,2),6133(a,2,2,1))]. 6188 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(4980(a,1),4545(a,1,2))]. 6190 a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). [para(4613(a,2),2315(a,1,2))]. 6191 (x * (y * K(z,y))) * y = (x * y) * (y * K(z,y)). [para(4573(a,1),4648(a,1,2))]. 6192 (x * (y * K(z,y))) / y = (x / y) * (y * K(z,y)). [hyper(18,a,202,a,b,6191,a),flip(a)]. 6194 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5060(a,1),5065(a,1,1))]. 6197 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(3165(a,1),6194(a,1,1,2)),flip(a)]. 6198 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3165(a,1),6197(a,1,2)),flip(a)]. 6199 (x * (y \ 1)) \ ((x * K(z,y)) * (y \ 1)) = K(z,y). [hyper(71,a,6198,a(flip))]. 6200 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [para(5295(a,1),5397(a,1))]. 6201 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [para(6200(a,2),5861(a,1))]. 6202 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [para(6201(a,1),5861(a,1)),flip(a)]. 6203 T(x,T(y,z) \ T(x,z)) = x / K(y \ x,T(x,z)). [para(6202(a,1),4551(a,2,2))]. 6204 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(6202(a,1),4801(a,1,2)),flip(a)]. 6205 K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). [para(6204(a,2),4801(a,1))]. 6206 (x * T(x \ y,z)) / K((x / y) \ 1,z) = T(y,K(z,x \ y)). [para(5393(a,2),6015(a,1))]. 6207 (x * K((x \ y) \ 1,z)) / K((y / x) \ 1,z) = T(x,K(z,y \ x)). [para(4837(a,1),6206(a,1,1))]. 6208 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(14(a,1),5465(a,1,1,2,2,1))]. 6209 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [para(6208(a,2),5109(a,1))]. 6210 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(6209(a,1),375(a,1,1))]. 6211 L(T(K(x,y),z),u,w) \ v5 = L(T(K(y,x),z),u,w) * v5. [para(5422(a,1),5609(a,1,1)),flip(a)]. 6212 L(T(K(x,y),z),z,z \ 1) * u = ((1 / z) * (K(y,x) * z)) \ u. [para(2502(a,1),6211(a,1,1)),flip(a)]. 6213 ((1 / x) * (K(y,z) * x)) \ u = ((1 / x) * (K(z,y) * x)) * u. [para(2502(a,1),6212(a,1,1)),flip(a)]. 6214 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(5627(a,1),14(a,1,2))]. 6215 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [para(5666(a,2),44(a,1))]. 6216 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(4555(a,2),5676(a,1,2)),flip(a)]. 6217 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [para(6216(a,2),4589(a,1))]. 6218 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(2971(a,1),6217(a,1,2))]. 6219 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [para(6218(a,1),61(a,1,1))]. 6220 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(3777(a,1),5687(a,1,1)),flip(a)]. 6222 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(6220(a,1),5297(a,1)),flip(a)]. 6223 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(61(a,1),6222(a,1,1,2,1)),flip(a)]. 6224 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(102(a,2),6222(a,1,1))]. 6225 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(13(a,1),6224(a,1,1,2)),flip(a)]. 6226 K(R(x,x \ 1,y),z) = K(x,z). [para(6224(a,2),272(a,1))]. 6227 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(4963(a,1),6224(a,1,1,2))]. 6228 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [para(6226(a,2),5510(a,1))]. 6229 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(6225(a,1),46(a,1,1)),flip(a)]. 6230 K(R(x,y,z),x \ 1) = K(x,x \ 1). [para(6225(a,1),3416(a,1))]. 6231 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [para(6230(a,1),3348(a,2))]. 6232 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [para(6230(a,1),3349(a,1,2))]. 6233 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(17,a,3420,a,b,6231,a),flip(a)]. 6235 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. [para(6232(a,1),4265(a,1,1)),flip(a)]. 6237 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(71,a,6233,a)]. 6238 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [para(6237(a,1),4441(a,1)),flip(a)]. 6239 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [para(6237(a,1),4442(a,1)),flip(a)]. 6240 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(6239(a,1),5182(a,1,2,1))]. 6241 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(16(a,1),6223(a,2,1,2))]. 6242 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(5199(a,1),5688(a,1,1,1)),flip(a)]. 6243 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [para(6242(a,2),1041(a,1))]. 6244 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [para(6243(a,1),5109(a,1)),flip(a)]. 6245 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(4098(a,1),6244(a,1,2))]. 6246 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [para(6245(a,2),6140(a,2))]. 6247 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [para(5692(a,1),157(a,1)),flip(a)]. 6248 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6247(a,1),5446(a,1,1,1)),flip(a)]. 6249 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [para(6248(a,2),5240(a,1))]. 6250 ((x \ y) / (x \ 1)) \ T(x \ y,x) = (x \ y) / ((x \ 1) \ (y / x)). [para(5732(a,1),6176(a,1)),flip(a)]. 6251 (T(x,y) * R(x \ 1,x,z)) / ((z / (x * z)) * x) = K(x,y). [para(6026(a,1),261(a,1))]. 6252 T(x,((x * y) * K(1 / y,x * y)) / x) = T(x,y). [para(6079(a,2),3946(a,1))]. 6253 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(28(a,2),6092(a,1,1,1,1))]. 6254 (x \ y) / ((x \ 1) \ (y / x)) = ((y / x) / (x \ 1)) \ (x \ y). [para(111(a,1),6178(a,1,2)),flip(a)]. 6255 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(4627(a,1),6188(a,1,2,2)),flip(a)]. 6256 (T(x,y) / z) / K(((1 / z) / (x / z)) \ 1,y) = T(x / z,K(y,(1 / z) \ (x / z))). [para(4853(a,1),6207(a,1,1))]. 6257 ((x \ y) / (x \ 1)) \ T(x \ y,x) = ((y / x) / (x \ 1)) \ (x \ y). [para(6250(a,2),6254(a,1))]. 6258 (x * y) \ (x * (y * (z * K(1 / u,u)))) = L(z,y,x) * K(1 / u,u). [para(4232(a,1),4456(a,1,2,2))]. 6259 L(T(x,y),T(z,x),K(x,z)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(4561(a,2),4591(a,1,1,3))]. 6260 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(4734(a,1),549(a,2,1)),flip(a)]. 6261 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [para(4734(a,1),4719(a,2))]. 6262 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [para(6260(a,1),5100(a,2))]. 6263 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(6261(a,1),1575(a,1,1,2)),flip(a)]. 6264 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(4736(a,1),683(a,1,1,1))]. 6265 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(642(a,1),4846(a,1,2))]. 6266 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(581(a,2),4939(a,1,2,2,1))]. 6267 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(5207(a,1),5223(a,1,2))]. 6268 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(5256(a,1),5257(a,1,1,1))]. 6269 ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). [para(1310(a,1),5535(a,1,2))]. 6270 K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). [para(2558(a,1),5714(a,1,2,2,1)),flip(a)]. 6271 K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5261(a,1),6270(a,1,2,2,1)),flip(a)]. 6272 R((x \ y) * x,y \ x,(y \ x) \ 1) = ((y \ x) \ 1) * x. [para(14(a,1),5720(a,2,2))]. 6274 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3594(a,1),6162(a,2,2))]. 6275 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [para(6274(a,1),3609(a,1))]. 6276 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(2687(a,1),6275(a,1,2,2)),flip(a)]. 6277 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(2687(a,1),6276(a,1,1,1)),flip(a)]. 6278 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [para(6277(a,1),61(a,1,1))]. 6279 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(111(a,1),6278(a,1,1,1,1))]. 6280 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(111(a,1),6279(a,2,2))]. 6281 L(x * K(1 / y,y),z,u) = L(x,z,u) * K(1 / y,y). [para(6258(a,1),28(a,2))]. 6282 K(1 / x,L(x,y,z)) = K(1 / x,x). [hyper(5505,a,6281,a)]. 6283 L((x \ 1) \ 1,y,z) * K(1 / x,x) = L(x,y,z). [para(4585(a,1),6281(a,1,1)),flip(a)]. 6284 K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). [para(6282(a,1),5449(a,1,1)),flip(a)]. 6286 K(1 / L(x,y,z),L(x,u,w)) = K(1 / L(x,y,z),x). [para(6284(a,2),5449(a,1))]. 6287 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(1871(a,1),6266(a,1,2))]. 6288 R(x,K(y \ 1,z),y) = R(x,y,K(y \ 1,z)). [para(6269(a,1),30(a,2)),flip(a)]. 6289 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(3449(a,1),4312(a,1,2,1)),flip(a)]. 6290 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [para(6289(a,1),4449(a,1))]. 6292 ((1 / x) / y) * T(((1 / x) / y) \ (y \ 1),z) = (x \ T(x * K(y \ 1,y),z)) / y. [para(167(a,2),4407(a,2,1,2,1,2))]. 6293 L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2064(a,1),4486(a,1,1,2))]. 6294 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(5505,a,6293,a)]. 6295 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(1840(a,2),6294(a,1,2)),flip(a)]. 6296 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [para(4595(a,1),4875(a,1,2)),flip(a)]. 6297 x * (K(x \ 1,x) * K(y,y \ (1 / (x \ 1)))) = y * ((1 / (1 / x)) / y). [para(5097(a,1),4956(a,1,2,2))]. 6298 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(4754(a,1),5198(a,1,1))]. 6299 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(2952(a,1),5399(a,1,3))]. 6300 K(x,y * (((1 / z) * (K(u,w) * z)) \ (w * (T(T(w,u),u) \ z)))) = K(x,y * ((z \ 1) \ K(u,w))). [para(5591(a,1),5468(a,1,2,2,2))]. 6301 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(5385(a,1),5527(a,1,2))]. 6302 (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). [para(698(a,1),5716(a,1,1))]. 6303 (1 / x) * ((x \ y) \ T((x \ y) * x,x)) = (x \ T(y,x)) * ((x \ y) \ 1). [para(1039(a,1),6302(a,1,1)),flip(a)]. 6305 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(61(a,1),5717(a,1,1,1,1,2)),flip(a)]. 6306 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(5861(a,1),6305(a,1,2))]. 6307 K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). [hyper(17,a,3407,a,b,6306,a),flip(a)]. 6308 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5054(a,1),6306(a,1,2))]. 6309 K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). [para(59(a,1),6307(a,2,1,2))]. 6310 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(6309(a,1),3328(a,2))]. 6311 (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(2821(a,1),6310(a,1,1,2))]. 6312 K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). [para(6311(a,1),3474(a,1))]. 6313 K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). [para(110(a,2),6312(a,1,2,2))]. 6315 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). [para(6313(a,1),5183(a,1))]. 6316 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(5779(a,1),5822(a,1,2)),flip(a)]. 6317 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [para(6316(a,2),30(a,2)),flip(a)]. 6318 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [para(6317(a,1),46(a,1)),flip(a)]. 6319 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [para(5985(a,1),5964(a,1)),flip(a)]. 6321 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(5324(a,1),6082(a,2,2))]. 6322 T(x \ (x / y),z) * T(x,y \ 1) = K(z,y \ 1) \ (x / y). [para(61(a,1),6145(a,1,1,2,1)),flip(a)]. 6323 x * (K(x \ 1,x) * K(y,y \ x)) = y * ((1 / (1 / x)) / y). [para(59(a,1),6297(a,1,2,2,2,2))]. 6324 T(x * ((1 / (1 / y)) / x),K(z,y)) = y * (K(y \ 1,y) * K(x,x \ y)). [para(6323(a,2),4374(a,2))]. 6325 (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). [para(4404(a,1),6303(a,1,2)),flip(a)]. 6326 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [para(6325(a,2),4737(a,2))]. 6327 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(13(a,1),6326(a,2,2,1)),flip(a)]. 6328 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(4906(a,1),6327(a,1,2))]. 6329 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(6245(a,2),6328(a,1,1))]. 6330 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [para(12(a,1),6329(a,1,2))]. 6331 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [para(6321(a,2),6308(a,1))]. 6332 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [para(4413(a,1),4390(a,1))]. 6333 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3490(a,2),4416(a,1,1))]. 6334 ((x * y) * z) * a(z * K(x * y,z),x,y) = (x * y) * R(z,x,y). [para(4762(a,2),4647(a,1))]. 6335 ((x * y) * z) \ ((x * y) * R(z,x,y)) = a(z * K(x * y,z),x,y). [hyper(71,a,6334,a)]. 6336 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(5062(a,1),5068(a,2,1))]. 6337 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(18,a,104,a,b,6336,a),flip(a)]. 6338 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(18,a,3779,a(flip),b,6336,a)]. 6339 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(18,a,3365,a(flip),b,6336,a)]. 6340 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(46(a,1),6338(a,1,2,1))]. 6341 K(x \ R(x,y,z),x) = (x \ K(x,R(x,u,w) \ 1)) * x. [para(6339(a,2),5011(a,2,1,2))]. 6343 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3165(a,1),6337(a,1,1)),flip(a)]. 6344 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5109(a,1),6337(a,1,1)),flip(a)]. 6345 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(5962(a,1),6337(a,1,1)),flip(a)]. 6346 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(6343(a,1),4597(a,2,2))]. 6347 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6343(a,1),5463(a,1,1)),flip(a)]. 6348 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(3093,a,6347,a)]. 6349 x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w). [para(6347(a,1),59(a,1,2))]. 6350 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [para(6347(a,2),104(a,1))]. 6351 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(6347(a,1),5010(a,1))]. 6352 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [para(6348(a,1),248(a,1))]. 6353 (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). [para(6348(a,1),5413(a,1,1,2,2))]. 6354 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [para(104(a,1),6349(a,1,2))]. 6355 ((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y). [para(3094(a,1),6354(a,1,2,1))]. 6356 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(381(a,1),6344(a,1,2)),flip(a)]. 6357 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [para(6344(a,1),5112(a,1))]. 6358 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(16(a,1),6357(a,2,2,1))]. 6359 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(16(a,1),6357(a,2,2,2))]. 6360 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(59(a,1),6357(a,1,1,2)),flip(a)]. 6361 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(5993(a,1),6359(a,1,1))]. 6362 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(102(a,2),6360(a,1,2))]. 6363 R(K(x,y),T(y,z),u) = K(x,y). [para(3728(a,1),6360(a,1,2)),flip(a)]. 6364 (K(x,y) * T(y,z)) \ K(x,y) = T(y,z) \ 1. [para(6363(a,1),359(a,1,2))]. 6365 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(13(a,1),6362(a,1,2,2)),flip(a)]. 6366 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(32(a,2),6362(a,1,2,2)),flip(a)]. 6367 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(128(a,1),6362(a,1,2,2)),flip(a)]. 6368 R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). [para(4875(a,1),6362(a,1,2,2)),flip(a)]. 6369 K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). [para(6362(a,1),4769(a,1)),flip(a)]. 6370 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6365(a,1),42(a,2,1))]. 6371 K(x * y,R(x,y,z)) = K(x * y,x). [para(6365(a,1),3777(a,1))]. 6372 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [para(6365(a,1),5455(a,1)),flip(a)]. 6373 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6365(a,1),5158(a,1,1))]. 6374 R(x,y,x) \ K(x * y,x) = T(x,y) \ 1. [para(4860(a,1),6364(a,1,1))]. 6375 K(x,(x * y) / z) = K(x,(z / y) \ x). [para(6361(a,1),3777(a,1))]. 6376 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [para(6361(a,2),5109(a,2)),flip(a)]. 6377 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1463(a,1),6375(a,1,2)),flip(a)]. 6379 K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). [para(4765(a,1),6369(a,2,1))]. 6380 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(385(a,1),6340(a,1,2,1)),flip(a)]. 6381 R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). [para(15(a,1),6376(a,1,1,2,1))]. 6382 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(6376(a,1),42(a,2,1))]. 6383 R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). [para(16(a,1),6381(a,2,2,1,2))]. 6384 K(x \ R(x,y,z),x) = (x \ 1) * T(x,R(x,u,w) \ 1). [para(6341(a,2),5788(a,1))]. 6385 R(K(x,y),K(x,y) * z,u) = R(K(x,y),z,u). [para(6368(a,2),6379(a,1))]. 6386 R(K(x,y),y \ K(y,x),z) = R(K(x,y),y \ 1,z). [para(4923(a,1),6385(a,1,2)),flip(a)]. 6387 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = ((((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z)) * (x \ 1)) * z. [para(6386(a,2),1519(a,2,2,1)),flip(a)]. 6388 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(4496(a,1),6377(a,1,2,1))]. 6389 T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). [hyper(6138,a,6384,a)]. 6390 T(x,R(x,y,z) \ 1) = T(x,x \ 1). [para(272(a,1),6389(a,1,2)),flip(a)]. 6391 (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. [para(6390(a,1),995(a,1,2))]. 6392 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. [para(110(a,1),6391(a,1,2))]. 6394 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [para(6392(a,1),6235(a,1)),flip(a)]. 6395 x / R(x,y,z) = R(x,y,z) \ x. [para(6394(a,1),1572(a,1)),flip(a)]. 6396 (x / R(x,y,z)) * u = (R(x,y,z) \ x) * u. [hyper(22,a,6395,a)]. 6397 (R(x,y,z) \ x) * R(x,y,z) = x. [para(6395(a,1),16(a,1,1))]. 6398 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(6395(a,2),6240(a,1,2,1))]. 6399 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(6395(a,1),6357(a,1,1,2))]. 6400 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(6397(a,1),4365(a,1,1,1))]. 6401 K(R(x,y,z),R(x,y,z) \ x) = 1. [hyper(17,a,4992,a(flip),b,6396,a)]. 6402 (R(x,y,z) \ T(x,u)) \ T(x,u) = R(x,y,z). [para(6400(a,1),61(a,1,1))]. 6403 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [para(6400(a,1),4698(a,2))]. 6404 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [para(6388(a,1),6113(a,1)),flip(a)]. 6405 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1062(a,1),6404(a,1,2)),flip(a)]. 6406 x / (R(K(y,z),u,(K(y,z) * u) \ 1) * x) = u * ((K(y,z) * u) \ 1). [para(6352(a,1),6349(a,2))]. 6407 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(6371(a,1),6367(a,1,1))]. 6408 K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). [para(6383(a,1),5306(a,1)),flip(a)]. 6409 K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). [para(6408(a,2),5109(a,1))]. 6411 K(x / y,x / (z * y)) = K(x / y,z \ (x / y)). [para(6409(a,1),5297(a,1))]. 6412 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [para(6407(a,1),6225(a,1))]. 6413 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(6412(a,1),4912(a,1,2,1)),flip(a)]. 6414 K(R(R(x,y,z),y * z,u),x * y) = K(x,R(x * y,z,u)). [para(6413(a,2),4912(a,1))]. 6415 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(5366(a,1),5368(a,1,3)),flip(a)]. 6416 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(6415(a,1),20(a,1))]. 6417 K(x \ 1,x) * K(y,y \ x) = (x \ 1) * (y * (x / y)). [hyper(5739,a,6324,a),flip(a)]. 6418 (1 / x) * (y * (x / y)) = K(y,y \ x). [hyper(2498,a,6417,a)]. 6419 x * (y * ((x \ 1) / y)) = K(y,y \ (x \ 1)). [para(59(a,1),6418(a,1,1))]. 6420 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(42(a,2),6004(a,1,2))]. 6421 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(13(a,1),6264(a,2,1,1))]. 6422 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(4469(a,2),6332(a,1,2))]. 6423 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [para(6333(a,1),104(a,1))]. 6424 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [para(6380(a,2),5109(a,1))]. 6425 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(6424(a,1),6344(a,1)),flip(a)]. 6426 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(5993(a,1),6425(a,1,1))]. 6427 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [para(6426(a,1),6225(a,1))]. 6428 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(14(a,1),6427(a,1,2,1,1)),flip(a)]. 6429 K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). [para(5214(a,1),6427(a,1,2,1))]. 6430 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [para(6428(a,1),6224(a,1))]. 6431 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). [para(6420(a,2),3442(a,1))]. 6432 K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(6431(a,1),2927(a,1,1))]. 6434 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [para(6422(a,1),95(a,1))]. 6435 (x \ (y * (T(z,x) \ z))) * x = ((x \ y) * x) * (T(z,x) \ z). [para(145(a,1),4388(a,1,1)),flip(a)]. 6437 ((x \ y) * x) * (T(z,x) \ z) = (x \ (y * K(x,z))) * x. [para(4539(a,2),6435(a,1,1,2,2)),flip(a)]. 6438 (x \ (y * K(x,z))) * x = ((x \ y) * x) * K(x,z). [para(4539(a,2),6437(a,1,2)),flip(a)]. 6439 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(18,a,5826,a,b,6438,a)]. 6441 x * ((x \ y) * K(x,z)) = y * K(x,z). [para(6439(a,1),14(a,1,2))]. 6444 (x * y) * K(x,z) = x * (y * K(x,z)). [para(13(a,1),6441(a,1,2,1)),flip(a)]. 6445 x * K(y,z) != y * ((y \ u) * K(y,z)) | x = u. [para(6441(a,2),20(a,2))]. 6446 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(6170,a,6444,a),flip(a)]. 6447 R(x,y,K(x,z)) = x. [hyper(361,a,6444,a)]. 6448 L(K(x,y),z,x) = K(x,y). [hyper(329,a,6444,a)]. 6450 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(6444(a,1),5774(a,1,1))]. 6451 R(T(x,y),z,K(x,u)) = T(x,y). [para(6447(a,1),42(a,2,1))]. 6452 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(6447(a,1),46(a,1,1)),flip(a)]. 6453 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(6447(a,1),367(a,1,1,1)),flip(a)]. 6454 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(6447(a,1),368(a,1,1,1)),flip(a)]. 6455 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(6447(a,1),369(a,1,1,1)),flip(a)]. 6456 R(x,y,T(x,z)) = R(x,y,x). [para(6447(a,1),6318(a,1,1)),flip(a)]. 6457 R(K(x,y),z,K(y,u)) = K(x,y). [para(6447(a,1),6362(a,1,2)),flip(a)]. 6458 a(x,y,K(x,z)) = 1. [hyper(34,a,6448,a)]. 6459 K(L(x,y,x),z) = K(x,z). [para(6448(a,1),6096(a,1)),flip(a)]. 6460 K(x,L(y,z,x)) = K(x,y). [para(6448(a,1),6100(a,1)),flip(a)]. 6461 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [para(6448(a,1),6106(a,1)),flip(a)]. 6462 K(T(x / (x / y),x),z) = K(y,z). [para(3932(a,2),6459(a,1,1))]. 6463 K(R(x,y,x),z) = K(x,z). [para(4152(a,1),6459(a,1,1)),flip(a)]. 6464 T(x,L(y,z,y)) = x / K(y,x). [para(6459(a,1),4551(a,2,2))]. 6465 (x * K(y,x)) * L(y,z,y) = L(y,z,y) * x. [para(6459(a,1),4614(a,1,1,2))]. 6466 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(6459(a,1),4684(a,1,1))]. 6467 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(45(a,1),6460(a,1,2))]. 6468 K(x,(x \ 1) \ y) = K(x,x * y). [para(348(a,1),6460(a,1,2)),flip(a)]. 6469 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(533(a,1),6460(a,1,2)),flip(a)]. 6470 L(x * K(y,x),z,y) = L(x,z,y) * K(y,x). [para(6460(a,1),5256(a,1,2)),flip(a)]. 6471 K(x,(y * (x / y)) \ (x * z)) = K(x,K(y \ x,y) * z). [para(5740(a,1),6460(a,1,2))]. 6472 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(6460(a,1),6096(a,1,1)),flip(a)]. 6473 K(x,K(y,L(z,u,x))) = K(x,K(y,z)). [para(6100(a,1),6460(a,1,2))]. 6474 K((x \ y) \ T(y,x),z) = K(x,z). [para(3966(a,1),6463(a,1,1))]. 6475 K(T(x,x * y),z) = K(T(x,y),z). [para(3999(a,1),6463(a,1,1)),flip(a)]. 6476 K(T(x,x \ y),z) = K(T(x,y),z). [para(4013(a,1),6463(a,1,1))]. 6477 R(x,y,x) * K(x,z) = T(R(x,y,x),z). [para(6463(a,1),4597(a,2,2)),flip(a)]. 6478 x * K(R(x,y,x),z) = T(x,z). [para(6463(a,2),4597(a,2,2)),flip(a)]. 6479 K(x,R(y,z,y)) = 1 / K(y,x). [para(6463(a,1),4801(a,1,2)),flip(a)]. 6480 R(K(x,y),z,x) = K(x,y). [para(6463(a,1),6224(a,1)),flip(a)]. 6481 (K(x,y) * z) * x = K(x,y) * (z * x). [para(6480(a,1),104(a,1,1)),flip(a)]. 6482 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(6480(a,1),5158(a,1,1)),flip(a)]. 6483 K(x,(y * x) / z) = K(x,y / (z / x)). [para(6480(a,1),6359(a,1)),flip(a)]. 6484 K(x,R(y,z,x)) = K(x,y). [para(6480(a,1),6365(a,1)),flip(a)]. 6485 T(x,R(y,z,x)) = x * K(x,y). [para(6484(a,1),4597(a,2,2))]. 6486 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(6365(a,1),6484(a,1,2))]. 6487 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(111(a,1),6456(a,1,3)),flip(a)]. 6488 R(x,y,(x \ z) \ z) = R(x,y,x). [para(110(a,1),6456(a,1,3))]. 6492 R(x,T(y,x),T(x,z)) = R(x,y,x). [para(6456(a,2),4067(a,1))]. 6493 (T(x,y) \ 1) * K(x,z) = T(x,y) \ K(x,z). [para(6451(a,1),299(a,1,1)),flip(a)]. 6496 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(6451(a,1),6318(a,1,1)),flip(a)]. 6497 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(6457(a,1),104(a,1,1)),flip(a)]. 6498 T(x,L(y,z,y)) = T(x,y). [para(6464(a,2),4551(a,2)),flip(a)]. 6500 T(x / L(y,z,y),y) = L(y,z,y) \ x. [para(6498(a,1),111(a,1))]. 6503 T(x,T(y / z,y)) = T(x,z \ y). [para(3934(a,1),6498(a,1,2))]. 6504 T(x,R(y,z,y)) = T(x,y). [para(4152(a,1),6498(a,1,2)),flip(a)]. 6505 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(6504(a,1),109(a,1,2))]. 6506 T(x / R(y,z,y),y) = R(y,z,y) \ x. [para(6504(a,1),111(a,1))]. 6507 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4013(a,1),6504(a,1,2))]. 6508 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4160(a,1),6504(a,1,2))]. 6509 K(x,R(y,z,y)) = K(x,y). [para(6479(a,2),4801(a,1))]. 6510 K(x,T(y,y * z)) = K(x,T(y,z)). [para(3999(a,1),6509(a,1,2)),flip(a)]. 6511 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4013(a,1),6509(a,1,2))]. 6512 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(6509(a,1),5259(a,1,2)),flip(a)]. 6513 R(K(x,y),z,y) = K(x,y). [para(6509(a,1),6362(a,1)),flip(a)]. 6514 (K(x,y) * z) * y = K(x,y) * (z * y). [para(6513(a,1),104(a,1,1)),flip(a)]. 6515 T(x,R(y,z,x)) = T(x,y). [para(6485(a,2),4597(a,2)),flip(a)]. 6516 T(x,(y * x) / z) = T(x,y / (z / x)). [para(375(a,1),6515(a,1,2))]. 6517 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(539(a,1),6515(a,1,2))]. 6518 T(x,T((y * x) / z,z / x)) = T(x,(z / x) \ y). [para(543(a,1),6515(a,1,2))]. 6522 K((x \ y) \ y,z) = K(T(x,y),z). [para(125(a,1),6462(a,1,1,1)),flip(a)]. 6523 L(K(x,x * (y \ z)),y \ z,y) = K(x,(y * (x \ 1)) \ z). [para(6468(a,1),6106(a,1,1))]. 6524 K(T(x,y * x),z) = K(T(x,y),z). [para(3978(a,2),6475(a,1,1))]. 6526 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(59(a,1),6503(a,1,2,1)),flip(a)]. 6527 T(x,T(x,y) / z) = T(x,z \ T(x,y)). [para(6503(a,1),4135(a,1)),flip(a)]. 6528 K(x,T(y,L(y,z,u) * (y \ w))) = K(x,T(y,L(y,z,u) * w)). [para(1064(a,1),6510(a,1,2,2)),flip(a)]. 6529 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(1645(a,1),6510(a,1,2)),flip(a)]. 6530 K(x,T(y,z * y)) = K(x,T(y,z)). [para(3978(a,2),6510(a,1,2))]. 6531 K(x * y,T(x,y)) = K(x * y,x). [para(6510(a,1),4765(a,1))]. 6532 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(110(a,1),6511(a,1,2))]. 6533 K(x,T(y / z,y)) = K(x,z \ y). [para(221(a,1),6511(a,1,2)),flip(a)]. 6534 K(x,T(y * z,y \ 1)) = K(x,T(y * z,z)). [para(3789(a,1),6511(a,1,2))]. 6535 K(x,T(y,z)) = T(K(x,y),z). [para(6511(a,1),5998(a,1))]. 6536 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(38(a,1),6535(a,1,2))]. 6537 x * K(y,T(z,x)) = K(y,z) * x. [para(6535(a,2),109(a,1,2))]. 6538 x * L(K(y,T(z,x)),u,w) = L(K(y,z),u,w) * x. [para(6535(a,2),161(a,1,2,1))]. 6539 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(6535(a,2),442(a,1,2,2))]. 6540 L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). [para(6535(a,2),492(a,1,1))]. 6541 T(x,K(y,T(z,x))) = T(x,K(y,z)). [para(6535(a,2),3842(a,1,2))]. 6542 x * T(K(x,y),z) = T(x,T(y,z)). [para(6535(a,1),4597(a,2,2)),flip(a)]. 6543 K(x,K(y,T(z,x))) = K(x,K(y,z)). [para(6535(a,2),4765(a,1,2))]. 6544 x \ (K(y,z) \ x) = K(z,T(y,x)). [para(6535(a,2),4911(a,2))]. 6545 K(x,y) * (K(z,u) * x) = T(x,y) * K(z,T(u,x)). [para(6535(a,2),4857(a,2,2))]. 6546 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [para(6535(a,2),5239(a,2))]. 6547 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [para(6535(a,2),5245(a,2))]. 6548 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(6535(a,2),5369(a,1,2))]. 6549 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [para(6535(a,2),5371(a,2))]. 6550 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [para(6535(a,2),5373(a,2))]. 6551 K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y). [para(6535(a,2),5379(a,1,1))]. 6552 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(6535(a,2),5376(a,2,1))]. 6553 K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). [para(6535(a,2),5395(a,1,1))]. 6554 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(6535(a,2),5477(a,2,2))]. 6555 K(x / y,T(z,x)) = K(y \ x,z). [para(6535(a,2),5932(a,1))]. 6556 K((x \ y) \ y,z) = K(x,T(z,y)). [para(6535(a,2),5935(a,2))]. 6557 T(K(x,y),y \ z) = T(K(x,y),z). [para(6535(a,1),5998(a,1))]. 6558 K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). [para(6099(a,1),6535(a,2,1))]. 6559 K(x \ K(x,y),T(z,y)) = K(x \ 1,z). [para(6535(a,2),6147(a,1))]. 6560 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [para(6535(a,2),6120(a,2))]. 6561 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [para(6535(a,2),6370(a,2))]. 6562 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(6535(a,2),6382(a,2))]. 6563 K(x,K(y,T(z,u))) = T(K(x,K(y,z)),u). [para(6535(a,2),6535(a,1,2))]. 6564 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(497(a,1),6522(a,1,1,1)),flip(a)]. 6565 K(T(x,y),z) = T(K(x,z),y). [para(6522(a,1),5935(a,1))]. 6566 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(6522(a,1),6084(a,1,1)),flip(a)]. 6567 x * K(T(y,x),z) = K(y,z) * x. [para(6565(a,2),109(a,1,2))]. 6568 K(T(x,K(y,z)),y) = K(x,y). [para(6565(a,2),1717(a,1))]. 6569 K(T(x,y \ 1),y) = K(x,y). [para(6565(a,2),1931(a,1))]. 6570 K(T(x,T(y,z)),y) = K(x,y). [para(6565(a,2),2807(a,1))]. 6571 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(6565(a,1),4609(a,2,1)),flip(a)]. 6572 K(T(x,y),y / z) = K(x,z \ y). [para(6565(a,2),5981(a,1))]. 6573 K(T(x,y),z) = K(x,T(z,y)). [para(6565(a,2),6535(a,2)),flip(a)]. 6574 K(x / T(y,z),y) = K(T(y,z) \ x,y). [para(111(a,1),6570(a,1,1)),flip(a)]. 6575 T(x,T(y,z)) * K(x,y) = T(T(x,y),T(y,z)). [para(6570(a,1),4659(a,1,2))]. 6576 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(38(a,1),6573(a,2,2))]. 6577 K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). [para(40(a,2),6573(a,1,1))]. 6578 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(42(a,2),6573(a,1,1))]. 6579 K(x / y,T(z,y)) = K(y \ x,z). [para(111(a,1),6573(a,1,1)),flip(a)]. 6580 K((x * y) / x,T(z,x)) = K(y,z). [para(144(a,1),6573(a,1,1)),flip(a)]. 6581 K((x \ y) \ y,z) = K(x,T(z,x \ y)). [para(110(a,1),6573(a,1,1))]. 6582 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(312(a,1),6573(a,1,1)),flip(a)]. 6583 K(x,T(y,L(x,z,u))) = K(x,y). [para(444(a,1),6573(a,1,1)),flip(a)]. 6584 K(x,T(y,R(x,z,u))) = K(x,y). [para(457(a,1),6573(a,1,1)),flip(a)]. 6585 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(580(a,1),6573(a,1,1)),flip(a)]. 6586 K(T(x,(1 / y) \ z),z * y) = K(x,z * y). [para(745(a,1),6573(a,2,2))]. 6587 K(x,T(y,K(x,z))) = K(x,y). [para(2896(a,1),6573(a,1,1)),flip(a)]. 6588 K(x \ T(x * y,z),T(u,x)) = K(x \ T(y * x,z),u). [para(4367(a,1),6573(a,1,1)),flip(a)]. 6589 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [para(6573(a,2),4506(a,1))]. 6590 x / K(y,T(x,z)) = T(x,T(y,z)). [para(6573(a,1),4551(a,2,2)),flip(a)]. 6591 T(x,y) * K(x,T(z,y)) = T(T(x,y),z). [para(6573(a,1),4597(a,2,2)),flip(a)]. 6592 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(6573(a,1),4609(a,2,1)),flip(a)]. 6593 T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). [para(6573(a,1),4556(a,2,2))]. 6594 1 / (x \ K(y,T(x,z))) = T(x,T(y,z)). [para(6573(a,1),4702(a,2,2,2)),flip(a)]. 6595 K(x,T(y,z)) \ x = x * K(y,T(x,z)). [para(6573(a,1),4786(a,2,2))]. 6596 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [para(6573(a,1),4796(a,1,1))]. 6597 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(6573(a,1),4906(a,1,1))]. 6598 K(x,T(y,z)) \ (K(y,T(x,z)) \ u) = u. [para(6573(a,1),4909(a,1,1))]. 6599 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(6573(a,1),4879(a,1,1))]. 6600 K(x,T(y,z)) \ (y * u) = T(y,T(x,z)) * u. [para(6573(a,1),4882(a,1,1))]. 6601 x \ (T(x,T(y,z)) * u) = K(y,T(x,z)) \ u. [para(6573(a,1),4964(a,2,1))]. 6602 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(6573(a,1),4683(a,1,1))]. 6603 K(x,T(y,K(z,z \ x))) = K(x,y). [para(5127(a,1),6573(a,1,1)),flip(a)]. 6604 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [para(6573(a,1),5338(a,2))]. 6605 K(x,T(y,z) \ T(x,z)) = K(x,T(y \ x,z)). [para(6573(a,1),6205(a,2))]. 6606 K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). [para(6565(a,2),6587(a,1,2))]. 6607 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(111(a,1),6584(a,1,2)),flip(a)]. 6608 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [para(6526(a,1),111(a,1))]. 6609 T(K(x,y),z * y) = K(x,T(y,z)). [para(6530(a,1),6535(a,1)),flip(a)]. 6610 T(K(x * y,x),y) = K(x * y,x). [para(6531(a,1),6535(a,1)),flip(a)]. 6611 K(x,(y \ (z \ y)) \ 1) = K(x,T(z,y)). [para(6532(a,1),5962(a,2))]. 6612 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(6532(a,1),6105(a,1,1)),flip(a)]. 6613 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(17,a,5387,a(flip),b,6537,a)]. 6614 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(6537(a,1),19(a,1))]. 6615 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(40(a,2),6537(a,1,2,2))]. 6616 K(x,y / z) * z = z * K(x,z \ y). [para(111(a,1),6537(a,1,2,2)),flip(a)]. 6617 K(x,T(y,z)) * y = y * K(x,T(y,z)). [para(119(a,1),6537(a,1,2,2)),flip(a)]. 6618 x * K(y,T(z,x)) = K(z,y) \ x. [para(6537(a,2),4906(a,2)),flip(a)]. 6619 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [para(6537(a,2),4875(a,1,2))]. 6620 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(6510(a,1),6537(a,1,2))]. 6621 (x \ y) * K(z,T(x,y)) = K(z,x) * (x \ y). [para(6511(a,1),6537(a,1,2))]. 6622 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(6535(a,2),6537(a,1,2,2))]. 6623 T(x,K(y,z / x)) = T(x,K(y,x \ z)). [para(111(a,1),6541(a,1,2,2)),flip(a)]. 6624 T(x,T(y,z)) != x * u | T(K(x,y),z) = u. [para(6542(a,1),19(a,1))]. 6625 T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). [para(6542(a,1),5250(a,1)),flip(a)]. 6626 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(6542(a,1),5727(a,1,2,2))]. 6627 (T(x,y) * (y / z)) * K(z \ y,x) = (y / z) * T(x,y). [para(6555(a,1),87(a,1,2))]. 6628 L(x,y / z,K(z \ y,u)) = x. [para(6555(a,1),3780(a,1,3))]. 6630 K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). [para(4891(a,1),6555(a,1,2))]. 6632 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(6555(a,1),6223(a,1,1)),flip(a)]. 6633 L(x,(y * z) / y,K(z,u)) = x. [para(13(a,1),6628(a,1,3,1))]. 6638 K(x,y) * (((z * x) / z) * L(u,T(K(x,y),(z * x) / z),(z * x) / z)) = ((z * x) / z) * (T(K(x,y),(z * x) / z) * u). [para(6633(a,1),751(a,1,2,2)),flip(a)]. 6639 K(x / y,z) * y = y * K(y \ x,z). [para(111(a,1),6567(a,1,2,1)),flip(a)]. 6640 K((x * y) / x,z) * x = x * K(y,z). [para(144(a,1),6567(a,1,2,1)),flip(a)]. 6641 x * K(T(y,x),z) = K(z,y) \ x. [para(6567(a,2),4906(a,2)),flip(a)]. 6642 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(580(a,1),6572(a,1,1))]. 6643 T(x / y,K(z,y \ x)) = x / y. [para(6572(a,1),2783(a,1,2))]. 6644 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(6572(a,1),4609(a,2,1)),flip(a)]. 6645 K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). [para(5594(a,1),6572(a,1,1))]. 6646 K(x / y,T(y,z)) = K(y \ x,T(y,z)). [para(119(a,1),6579(a,1,2))]. 6647 K(x / L(y,z,u),y) = K(L(y,z,u) \ x,y). [para(444(a,1),6579(a,1,2))]. 6648 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(6579(a,1),4609(a,2,1)),flip(a)]. 6649 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [para(6579(a,1),5304(a,1))]. 6650 K(R(x * K(y,x),y,z),T(u,y * z)) = K((y * z) \ ((y * x) * z),u). [para(4719(a,2),6579(a,1,1))]. 6651 K(x / (y \ z),T(y,z)) = K((y \ z) \ x,y). [para(6579(a,1),6511(a,1)),flip(a)]. 6652 L(x,K(y,z),(u * y) / u) = x. [para(6580(a,1),4624(a,1,2))]. 6653 L(x,T(y,z),K(u,y)) = x. [para(6580(a,1),5209(a,1,3))]. 6654 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [para(6653(a,1),6259(a,1,1)),flip(a)]. 6655 L(x,T(T(y,z),u),K(w,y)) = x. [para(6580(a,1),6653(a,1,3))]. 6657 (K(x,y) * T(T(y,z),u)) * w = K(x,y) * (T(T(y,z),u) * w). [para(6655(a,1),95(a,1,2))]. 6658 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(6582(a,1),4609(a,2,1))]. 6659 T(x,T(y,z) \ T(x,z)) = T(x,T(y \ x,z)). [para(6590(a,1),6203(a,2))]. 6660 K(x / y,z) \ y = y * K(z,y \ x). [para(111(a,1),6618(a,1,2,2)),flip(a)]. 6661 K(x,y / z) \ z = z * K(z \ y,x). [para(6579(a,1),6618(a,1,2)),flip(a)]. 6662 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(6452(a,1),299(a,1,1)),flip(a)]. 6663 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(543(a,1),6486(a,1,2,2))]. 6664 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(111(a,1),6585(a,1,2)),flip(a)]. 6665 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(14(a,1),6446(a,2,2,2))]. 6666 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(168(a,1),6461(a,1,2,1)),flip(a)]. 6667 K(x,T(x \ y,z) \ (x \ u)) = K(x,(K(z,y / x) \ y) \ u). [para(4905(a,2),6461(a,1,2,1)),flip(a)]. 6668 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [para(6461(a,1),6073(a,2))]. 6669 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(6461(a,1),6043(a,2,2))]. 6670 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). [para(6461(a,1),6106(a,1,1))]. 6671 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [para(6466(a,1),2900(a,2))]. 6672 T(x,y) \ L(T(x,y),z,x) = x \ L(x,z,x). [para(6466(a,1),4866(a,1,2))]. 6673 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [para(6466(a,1),4963(a,1,2)),flip(a)]. 6674 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [para(6477(a,2),42(a,2)),flip(a)]. 6675 L(x,y,K(x,z)) = x. [hyper(329,a,6481,a)]. 6678 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). [para(6481(a,1),142(a,2,1)),flip(a)]. 6679 (K(x,y) * z) * x = T(x,y) * T(z,x). [para(6481(a,2),4857(a,1))]. 6680 L(T(x,y),z,K(x,u)) = T(x,y). [para(6675(a,1),40(a,2,1))]. 6681 (K(x,y) * z) / x = K(x,y) * (z / x). [para(6675(a,1),386(a,1,2))]. 6682 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(6675(a,1),337(a,1,2,1))]. 6683 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(6675(a,1),338(a,1,2,1))]. 6686 L(K(x,y),z,K(x,u)) = K(x,y). [para(6675(a,1),6095(a,1,1)),flip(a)]. 6687 L(K(x,y),z,K(y,u)) = K(x,y). [para(6675(a,1),6099(a,1,2)),flip(a)]. 6691 L(K(x,T(y,z)),u,K(y,w)) = K(x,T(y,z)). [para(6680(a,1),6099(a,1,2)),flip(a)]. 6693 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(6686(a,1),40(a,2,1))]. 6694 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(6686(a,1),95(a,1,2))]. 6695 T(x / (x / K(y,z)),x) = K(y,z). [para(6686(a,1),3932(a,2))]. 6696 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(6686(a,1),3972(a,1,1,1))]. 6697 x / T(K(y,z),x) = K(y,z) \ x. [para(6686(a,1),4099(a,1,1)),flip(a)]. 6698 K(x,L(y,z,K(x,u))) = K(x,y). [para(6686(a,1),6100(a,1)),flip(a)]. 6699 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [para(6687(a,1),6090(a,1))]. 6700 K(x,L(L(y,z,K(x,u)),w,v5)) = K(x,L(y,w,v5)). [para(45(a,1),6698(a,1,2))]. 6701 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(4929(a,1),6698(a,1,2)),flip(a)]. 6702 T((T(x,y) / z) / (x / z),T(x,y) / z) = K((z \ 1) \ (x / z),y). [para(6081(a,1),6695(a,1,1,2))]. 6703 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(6697(a,1),3863(a,1,1))]. 6704 x / K(y,T(z,x)) = K(y,z) \ x. [para(6535(a,2),6697(a,1,2))]. 6705 (K(x,y) \ z) \ z = K(x,T(y,z)). [para(6704(a,1),61(a,1,1))]. 6706 (K(x,y) * z) \ z = K(y,T(x,z)). [para(4906(a,1),6705(a,1,1))]. 6707 (K(x,y) \ z) * (z * (K(x,T(y,z)) / z)) = T(z,z \ K(x,y)). [para(6705(a,1),5949(a,1,2,2,1))]. 6708 (K(x,y) * z) * K(y,T(x,z)) = z. [para(6706(a,1),14(a,1,2))]. 6709 (K(x,y) * z) * K(T(y,z),x) = z. [para(6573(a,2),6708(a,1,2))]. 6710 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(6496(a,1),1005(a,1,1))]. 6713 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [para(6496(a,2),3927(a,1))]. 6714 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(4573(a,1),6496(a,1,1)),flip(a)]. 6715 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(6496(a,1),6509(a,1,2))]. 6716 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(42(a,1),6715(a,1,2))]. 6717 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(6500(a,1),109(a,1,2)),flip(a)]. 6718 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(111(a,1),6505(a,1,2))]. 6720 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(6506(a,1),109(a,1,2)),flip(a)]. 6721 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [para(6508(a,1),5430(a,1))]. 6722 L(x,y,K(z,x)) = x. [hyper(329,a,6514,a)]. 6723 x * T(K(y,x) * z,x) = K(y,x) * (z * x). [para(6514(a,1),109(a,2))]. 6724 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(6722(a,1),45(a,1,1)),flip(a)]. 6725 L(K(x,y),z,K(u,y)) = K(x,y). [para(6722(a,1),6099(a,1,2)),flip(a)]. 6726 K(L(x,y,K(z,u)),u) = K(x,u). [para(6725(a,1),6096(a,1)),flip(a)]. 6727 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(6726(a,1),4704(a,2,1,1))]. 6728 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(5938(a,1),6529(a,1,2)),flip(a)]. 6729 K((x / y) \ 1,T(z,y)) = K((y \ x) \ 1,z). [para(111(a,1),6546(a,1,1,1)),flip(a)]. 6730 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(444(a,1),6546(a,1,1,1)),flip(a)]. 6731 K(x,y) \ K(z,K(x,y)) = K(y,T(x,z)). [hyper(71,a,6548,a)]. 6732 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(6510(a,1),6548(a,1,2))]. 6733 K(x,T(T(y,z),u)) * T(x,z) = T(T(x,z),T(y,u)). [para(6536(a,2),6571(a,1,1))]. 6734 K(T(T(x,y),z),u) = K(x,T(T(u,y),z)). [para(6576(a,1),6573(a,2))]. 6735 K(x,T(y,x \ z)) = K(x,T(y,z)). [para(6581(a,1),6556(a,1))]. 6736 K(x,T(y,x * z)) = K(x,T(y,z)). [para(13(a,1),6735(a,1,2,2)),flip(a)]. 6737 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(42(a,2),6735(a,1,2))]. 6738 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(6735(a,1),4597(a,2,2))]. 6739 K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). [para(5939(a,1),6735(a,1,2))]. 6740 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(6735(a,1),6225(a,1,1))]. 6741 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(111(a,1),6736(a,1,2)),flip(a)]. 6742 T(K(x,y),x * z) = K(x,T(y,z)). [para(6736(a,1),6535(a,1)),flip(a)]. 6743 (x * y) * K(x,T(z,y)) = K(x,z) * (x * y). [para(6736(a,1),6537(a,1,2))]. 6744 L(K(x,T(y,z)),x,u) = (x * z) \ (T(x,y) * z). [para(6742(a,1),6128(a,1,1))]. 6745 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [para(6591(a,1),4873(a,2))]. 6746 T(T(x,y),z) != K(x,y) * u | T(x,T(z,y)) = u. [para(6592(a,1),5195(a,1))]. 6747 R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). [para(6593(a,1),1733(a,1,2))]. 6748 (x / y) * T(y,T(x,z)) = K(x,T(y,z)) \ x. [para(6595(a,2),5778(a,2))]. 6749 K(x,y) * T(x,T(z,y)) = T(T(x,z),y). [para(6602(a,1),5143(a,1)),flip(a)]. 6750 K(x,(y \ (z \ y)) \ 1) = K(x,(u \ (u / T(z,y))) \ 1). [para(6611(a,2),5967(a,2)),flip(a)]. 6751 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(5109(a,2),6616(a,1,1))]. 6752 T(x,T(y \ 1,z)) = T(x,(y * z) \ z). [para(6625(a,1),5942(a,1))]. 6753 K(x / (y \ z),z \ y) = K((y \ z) \ x,z \ y). [hyper(18,a,1938,a,b,6639,a)]. 6754 K(T(x,y) \ 1,z) = K(y \ (x \ y),z). [para(6649(a,2),6546(a,2))]. 6755 T(x,T(y,T(T(x,z),u))) = T(x,y). [para(6658(a,2),4609(a,2)),flip(a)]. 6756 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(4573(a,1),6755(a,1,2,2,1))]. 6757 T(x / y,z) \ x = y * K(z,y \ x). [para(6660(a,1),4960(a,2))]. 6758 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(97(a,2),6668(a,1,2))]. 6759 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(157(a,1),6668(a,1,2)),flip(a)]. 6760 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [para(6668(a,1),5590(a,2))]. 6761 L(K(x,x \ y),y,z) = K(x,z \ (x \ (z * y))). [para(6668(a,1),6105(a,2))]. 6762 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(6671(a,1),5524(a,1,1)),flip(a)]. 6763 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(6346(a,1),6671(a,2,1))]. 6764 K(x,y) * R(x,z,x) = R(T(x,y),z,x). [para(6674(a,1),2901(a,1)),flip(a)]. 6765 R(x,y,x) * (K(x,z) * u) = R(T(x,z),y,x) * u. [para(6674(a,1),4635(a,1,1)),flip(a)]. 6766 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [para(4870(a,1),6679(a,1,1)),flip(a)]. 6767 K(x,y) * ((x * z) / x) = (T(x,y) * z) / x. [para(4627(a,1),6681(a,1,1)),flip(a)]. 6768 T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). [para(6696(a,1),38(a,1,1)),flip(a)]. 6769 T(T(x,y) * z,K(x,y)) = (x * z) * K(x,y). [para(4627(a,1),6696(a,1,1))]. 6770 T(K(x,y) \ z,K(y,x)) = z * K(y,x). [para(4906(a,2),6696(a,1,1))]. 6771 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(4907(a,1),6696(a,1,1)),flip(a)]. 6772 T(x * K(y,z),K(z,y)) = K(y,z) * x. [para(6696(a,1),5378(a,1,1))]. 6773 T(x,T(y,x \ z)) = T(x,T(y,z)). [para(6738(a,2),4597(a,2)),flip(a)]. 6774 T(x,T(y,x \ y)) = T(x,y). [para(108(a,1),6773(a,2,2))]. 6775 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(6773(a,1),4598(a,1,2,1))]. 6776 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(5939(a,1),6773(a,1,2))]. 6777 T(x,T(x * y,y)) = T(x,x * y). [para(13(a,1),6774(a,1,2,2))]. 6778 T(x \ y,T(y,x)) = T(x \ y,y). [para(3552(a,1),6774(a,1,2))]. 6779 K(x,y) \ T(T(x,y),z) = T(x,T(z,y)). [hyper(71,a,6745,a)]. 6780 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(6535(a,2),6745(a,1,2,2))]. 6781 K(x,y) \ T(y,T(z,x)) = T(T(y,z),x). [para(6749(a,1),4906(a,2))]. 6782 K((x * y) \ y,z) = K(y \ (x \ y),z). [para(6754(a,1),5875(a,1)),flip(a)]. 6783 x \ (T(y / x,z) \ y) = K(z,x \ y). [hyper(71,a,6757,a(flip))]. 6784 x / (y * K(z,y \ x)) = T(x / y,z). [para(6757(a,1),59(a,1,2))]. 6785 L(K(x,(y \ 1) \ z),y \ 1,y) = y * (T(z / (y \ 1),x) \ z). [para(6757(a,2),168(a,1,2)),flip(a)]. 6786 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(6757(a,1),5246(a,1,2))]. 6787 T(x,y) * (x \ R(x,z,x)) = R(T(x,y),z,x). [para(6764(a,1),4577(a,2))]. 6788 K(x,y) \ R(y,z,y) = R(T(y,x),z,y). [para(6764(a,1),4906(a,2))]. 6789 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [para(6764(a,1),4866(a,1,2))]. 6790 K(x,y) * (x \ R(x,z,x)) = x \ R(T(x,y),z,x). [para(6764(a,1),4963(a,1,2)),flip(a)]. 6791 T(x * K(y,z),K(z,y)) = K(z,y) \ x. [para(6770(a,1),5378(a,1,1))]. 6792 x / K(y,z) = x * K(z,y). [para(6770(a,1),5380(a,1)),flip(a)]. 6793 (x * K(y,z)) \ x = K(z,y). [hyper(409,a,6792,a)]. 6794 (x * K(y,z)) * K(z,y) = x. [hyper(77,a,6792,a)]. 6798 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(6792(a,1),200(a,1,1))]. 6799 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z / K(x,y)). [para(6792(a,1),1795(a,1,1,2))]. 6800 R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [para(6792(a,1),3454(a,1,1,2))]. 6802 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(6792(a,1),5113(a,2,2))]. 6803 R(x * K(y,z),K(z,y),z) = (x * z) / T(z,y). [para(6792(a,1),4690(a,1,1))]. 6804 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [para(6792(a,1),6098(a,1))]. 6805 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(6573(a,1),6792(a,1,2))]. 6806 x * K(y,z) != u | u * K(z,y) = x. [para(6793(a,1),76(a,1,2)),flip(b)]. 6807 (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) = K(u,z). [para(217(a,1),6793(a,1,1))]. 6808 ((x \ 1) \ K(y,x)) \ ((x \ 1) \ 1) = K(x,y). [para(2919(a,1),6793(a,1,1))]. 6809 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(6793(a,2),4906(a,1,1))]. 6810 (x \ R(x,y,x)) \ K(x * y,x) = K(y,x). [para(5230(a,1),6793(a,1,1))]. 6811 (K(x,y) * z) \ T(z,K(y,x)) = K(y,x). [para(5379(a,1),6793(a,1,1))]. 6812 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [para(6793(a,2),5418(a,1))]. 6813 L(L(K(x,y),z,u),K(y,x),w) = L(K(x,y),z,u). [para(6793(a,1),4805(a,2,1))]. 6814 (x * T(y,z)) \ (x * y) = K(z,y). [para(5779(a,1),6793(a,1,1))]. 6815 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(5807(a,2),6793(a,1,1))]. 6816 (x \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). [para(5864(a,2),6793(a,1,1))]. 6817 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(6224(a,1),6793(a,1,1,2)),flip(a)]. 6818 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. [hyper(6066,a,6794,a),flip(a)]. 6819 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [hyper(6060,a,6794,a),flip(a)]. 6820 (x \ y) * K(y,x) = x \ T(y,x). [hyper(5840,a,6794,a),flip(a)]. 6821 L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). [hyper(18,a,6283,a,b,6794,a)]. 6822 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(18,a,5928,a,b,6794,a)]. 6823 (x / y) * K(z,y) = x / T(y,z). [hyper(18,a,5791,a,b,6794,a)]. 6824 (x * T(y,z)) * K(z,y) = x * y. [hyper(18,a,5779,a,b,6794,a)]. 6825 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(18,a,3092,a,b,6794,a)]. 6826 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(18,a,5927,a(flip),b,6794,a)]. 6827 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). [para(6794(a,1),24(a,2,1,2)),flip(a)]. 6829 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(6794(a,1),95(a,1,1))]. 6830 (x * K(y,z)) * T(z,y) = x * z. [para(6794(a,1),5774(a,1,1)),flip(a)]. 6831 (x * K(y,z)) / z = x / T(z,y). [para(6794(a,1),5803(a,1,1)),flip(a)]. 6832 (x * K(y,z)) * z = x * (z * K(y,z)). [para(6794(a,1),5859(a,1,1)),flip(a)]. 6834 x \ T(x * y,x) = y * K(x * y,x). [para(13(a,1),6820(a,1,1)),flip(a)]. 6835 (x * y) / T(y,z) = x * K(z,y). [para(15(a,1),6823(a,1,1)),flip(a)]. 6836 x / T(y \ x,z) = y * K(z,y \ x). [para(59(a,1),6823(a,1,1)),flip(a)]. 6837 (x * y) / T(T(x,y),z) = y * K(z,T(x,y)). [para(124(a,1),6823(a,1,1)),flip(a)]. 6839 (x / y) * K(x,y) = T(x,y) / y. [para(6823(a,2),3898(a,2)),flip(a)]. 6840 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [para(6823(a,1),5226(a,1,2)),flip(a)]. 6841 (x / y) * K(z,T(y,u)) = x / T(y,T(z,u)). [para(6573(a,1),6823(a,1,2))]. 6842 (x / T(y,z)) * y = x * K(z,y). [para(16(a,1),6824(a,1,1)),flip(a)]. 6843 (x * ((y \ z) \ z)) * K(y \ z,y) = x * y. [para(110(a,1),6824(a,1,1,2))]. 6845 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). [para(6824(a,1),365(a,1,2)),flip(a)]. 6846 T(x * T(y,z),K(z,y)) = K(y,z) * (x * y). [para(6824(a,1),4910(a,1,2)),flip(a)]. 6847 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(6824(a,1),5774(a,1,1)),flip(a)]. 6848 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(6824(a,1),5859(a,1,1))]. 6849 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(6825(a,1),105(a,2,2))]. 6850 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(71,a,6830,a)]. 6853 (x * (y \ z)) * T(y,y \ z) = (x * (z / y)) * y. [para(6055(a,1),6830(a,1,1))]. 6855 x \ (y * K(z,x)) = T(y / T(x,z),x). [para(6831(a,1),111(a,1,1)),flip(a)]. 6856 (x * K(y,z / y)) / (z / y) = x / (y \ z). [para(111(a,1),6831(a,2,2))]. 6857 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(6831(a,1),3932(a,1,1,2))]. 6858 T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). [para(6831(a,1),3933(a,1,1,1,2))]. 6859 (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). [para(6831(a,1),5778(a,1,1))]. 6860 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(6831(a,1),6016(a,1,1)),flip(a)]. 6861 L(K(x,y),z * K(u,x),w) = K(L(x,z / T(x,u),w),y). [para(6831(a,1),6095(a,1,1,2)),flip(a)]. 6863 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [para(6839(a,1),5205(a,1)),flip(a)]. 6864 x * K(y,z) != u * z | x / T(z,y) = u. [para(6842(a,1),20(a,1))]. 6865 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(3804(a,1),6842(a,1,1))]. 6869 ((x * K(y,z)) * K(u,y)) \ (x * T(y,z)) = T(y,u). [para(5774(a,1),6850(a,1,2))]. 6870 T(x,((y \ x) * y) \ z) = (u * K(x \ z,x)) \ (u * x). [para(6185(a,1),6850(a,1,1,2)),flip(a)]. 6871 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(6573(a,1),6850(a,1,1,2))]. 6872 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(6573(a,1),6806(a,1,2))]. 6873 K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). [para(6772(a,1),6603(a,1,2))]. 6874 L(T(x,T(y,z)),K(x,z),z * x) = (x * z) \ ((T(x,y) * z) * x). [para(6779(a,1),4149(a,1,1))]. 6875 T(T(x,y),z) * K(y,x) = T(x,T(z,y)). [para(6779(a,1),4922(a,1)),flip(a)]. 6876 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(6782(a,1),4702(a,2,2,2)),flip(a)]. 6877 (x * y) / (x * K(z,y)) = T((x * y) / x,z). [para(13(a,1),6784(a,1,2,2,2))]. 6878 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(5577(a,1),6786(a,1,2,2))]. 6879 T(x * K((((y / x) \ 1) / x) \ 1,z),K(z,(((y / x) \ 1) / x) \ 1)) = (y / x) \ T(y,z). [para(6791(a,2),5478(a,1))]. 6880 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(6809(a,1),6522(a,1,1)),flip(a)]. 6881 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(795(a,1),6815(a,1,1))]. 6882 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(624(a,1),6815(a,1,1))]. 6883 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1177(a,1),6815(a,1,1))]. 6886 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(6826(a,1),674(a,2,1,2))]. 6888 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = ((1 / (x / ((y * z) / y))) \ K(y,z)) * (1 / (x / ((y * z) / y))). [para(6826(a,1),4370(a,1,2,1))]. 6889 (x * (y * K(z,y))) / y = x * K(z,y). [hyper(78,a,6832,a)]. 6890 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(71,a,6832,a)]. 6891 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(18,a,6191,a,b,6832,a)]. 6893 K((x \ 1) \ y,x) = K(x * y,x). [hyper(6031,a,6834,a)]. 6894 x * (y * K(x * y,x)) = T(x * y,x). [para(6834(a,1),14(a,1,2))]. 6895 (x \ T(x * y,x)) \ (y * K(z,K(x * y,x))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(6834(a,2),4699(a,1,1))]. 6896 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [para(6893(a,1),5045(a,1))]. 6897 K((1 / x) \ y,x) = K(x * y,x). [para(6893(a,1),5046(a,2))]. 6898 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(6893(a,1),6084(a,1,1))]. 6899 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(6893(a,1),6086(a,1,1))]. 6900 x / T(y \ x,z) = T(x / y,z) \ x. [para(6836(a,2),6757(a,2)),flip(a)]. 6901 (x * T(y,z)) * T(z,y) = R(x,y,z) * (y * z). [para(6847(a,2),104(a,2)),flip(a)]. 6903 x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). [para(6573(a,1),6855(a,1,2,2))]. 6904 T(x,T(y,z)) \ T(T(x,z),y) = K(x,z). [para(6875(a,1),6793(a,1,1))]. 6905 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [para(6889(a,1),5860(a,2,1))]. 6906 (x / y) * (y * K(z,y)) = x * K(z,y). [para(6889(a,1),6192(a,1)),flip(a)]. 6907 L(T(x,K(y,x)),K(y,x),z) = x. [para(6890(a,1),157(a,1)),flip(a)]. 6908 L(x,K(y,x),z) = x. [para(2783(a,1),6907(a,1,1))]. 6909 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(6908(a,1),336(a,1,2,1))]. 6911 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(6908(a,1),337(a,1,2,1))]. 6912 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(6908(a,1),338(a,1,2,1))]. 6914 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(6168,a,6891,a),flip(a)]. 6915 R(x,y,K(z,y)) = x. [hyper(361,a,6891,a)]. 6916 L(K(x,y),y,z) = K(x,y). [hyper(329,a,6891,a)]. 6918 (x * y) * K(z,y) = x * ((z * y) / z). [para(4572(a,2),6891(a,2,2))]. 6919 T(x,y) / (y * K(x,y)) = x / y. [para(6915(a,1),4662(a,1)),flip(a)]. 6920 R(x,y,K(z,T(y,u))) = x. [para(6573(a,1),6915(a,1,3))]. 6921 a(x,y,K(z,y)) = 1. [hyper(34,a,6916,a)]. 6922 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(6916(a,1),45(a,1,1)),flip(a)]. 6924 L(K(x,y),y,z) \ (y * u) = T(y,x) * u. [para(6916(a,2),4882(a,1,1))]. 6926 K(L(x,y,z),y * x) = K(x,y * x). [para(6916(a,1),6096(a,1)),flip(a)]. 6927 a(x,T(y,z),K(u,y)) = 1. [para(6580(a,1),6921(a,1,3))]. 6928 (x * y) * K(z,T(y,u)) = x * (y * K(z,T(y,u))). [para(6920(a,1),104(a,1,1)),flip(a)]. 6929 L(K(x,y),T(y,z),u) = K(x,y). [hyper(33,a,6927,a)]. 6930 (x * T(y,z)) * L(K(u,y),w,v5) = x * (T(y,z) * L(K(u,y),w,v5)). [para(6929(a,1),338(a,1,2,1))]. 6931 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [para(6929(a,1),5022(a,2))]. 6932 T(x,y) / (K(y,x) \ y) = x / y. [para(4786(a,2),6919(a,1,2))]. 6933 K(L(x,y,z),y * x) = K(x,x * y). [para(6926(a,2),5131(a,1))]. 6934 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(59(a,1),6900(a,2,1,1))]. 6935 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(6900(a,1),61(a,1,1))]. 6936 T(x / (x / y),z) \ x = x / T(y,z). [para(61(a,1),6900(a,1,2,1)),flip(a)]. 6937 (x / y) * (z / (z / y)) = x * K(y \ z,y). [para(4518(a,2),6906(a,1,2))]. 6938 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [para(4618(a,1),6906(a,1,2))]. 6939 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(6918(a,1),5774(a,1,1))]. 6940 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [para(6934(a,1),61(a,1,1))]. 6941 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(110(a,2),6934(a,1,2,1))]. 6942 T(x,y) / T(R(x,z,u),w) = T(R(x,z,u),w) \ T(x,y). [para(6402(a,1),6934(a,1,2,1))]. 6943 ((x \ T(y,x)) \ y) \ y = T(T(x,y) \ y,x). [para(3899(a,1),6935(a,1,1,1))]. 6944 x / (x / T(y,z)) = T(x / (x / y),z). [para(6936(a,1),59(a,1,2))]. 6946 T(T(x,x \ y),z) = (T(x,z) \ y) \ y. [para(110(a,2),6940(a,2,1)),flip(a)]. 6947 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [para(6940(a,2),219(a,2))]. 6951 (x \ T(y,x)) \ y = T(T(x,y),x \ y). [para(3861(a,1),6947(a,2,1)),flip(a)]. 6952 T(x,y) * ((T(x,y) * (x \ y)) / T(x,y)) = ((x \ T(y,x)) \ y) * (x \ y). [para(6951(a,2),3550(a,1,1)),flip(a)]. 6953 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(6691(a,1),95(a,1,2))]. 6954 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [para(6693(a,1),6249(a,1)),flip(a)]. 6955 T(K(x,y),(x \ z) * x) = T(K(x,y),z). [para(4540(a,1),6954(a,1,2)),flip(a)]. 6956 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(4907(a,1),6954(a,1,2)),flip(a)]. 6958 T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). [para(5456(a,1),6956(a,1,2,1))]. 6959 K(x,T(y,K(z,x) * u)) = T(K(x,y),u). [para(6956(a,1),6535(a,2))]. 6960 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(6640(a,1),6956(a,1,2))]. 6961 K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). [para(6959(a,2),6535(a,2)),flip(a)]. 6962 T(K(x,y),z * T(x,u)) = T(K(x,y),z * x). [para(6824(a,1),6960(a,1,2)),flip(a)]. 6963 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(727(a,2),6961(a,1,2,2))]. 6964 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(4711(a,1),6961(a,1,2,2)),flip(a)]. 6965 K(x,T(y,z * K(u,x))) = K(x,T(y,z)). [para(6640(a,1),6961(a,1,2,2))]. 6966 K(x,T(y,x / z)) = K(x,T(y,z \ x)). [para(6503(a,1),6963(a,1,2)),flip(a)]. 6967 K(x \ y,T(x,T(z,y))) = K(x \ y,T(x,z)). [para(6773(a,1),6963(a,1,2))]. 6968 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(4728(a,1),6964(a,1,2,2)),flip(a)]. 6969 K(x,T(y,z / x)) = K(x,T(y,z)). [para(6964(a,2),6735(a,1))]. 6970 K(x,T(y,z * x)) = K(x,T(y,z)). [para(15(a,1),6969(a,1,2,2)),flip(a)]. 6971 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(122(a,1),6969(a,1,2,2)),flip(a)]. 6972 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(3939(a,1),6969(a,1,2))]. 6973 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [para(6970(a,2),6459(a,2))]. 6974 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(6970(a,1),6537(a,1,2))]. 6975 K(x,T(y,z * L(K(u,x),w,v5))) = K(x,T(y,z)). [para(5441(a,1),6965(a,1,2,2,2))]. 6976 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(6794(a,1),6965(a,1,2,2)),flip(a)]. 6977 (x / y) * K(x,T(z,y \ x)) = K(x,z) * (x / y). [para(6966(a,1),6537(a,1,2))]. 6978 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). [para(6713(a,1),6716(a,1,2,1))]. 6979 T(x,L(y,z,K(u,x))) = T(x,y). [para(6727(a,2),4704(a,2)),flip(a)]. 6980 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(97(a,1),6979(a,1,2))]. 6981 x \ (R(x,y,x) * T(R(x,y,x) \ (x * K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(6810(a,1),1082(a,2,2,1))]. 6982 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [para(6922(a,2),6100(a,1))]. 6983 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(6450(a,1),5781(a,1,2))]. 6985 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(4618(a,1),6465(a,1,1)),flip(a)]. 6986 (T(x,y) \ K(x,z)) \ (T(x,y) \ 1) = K(z,x). [para(6493(a,1),6793(a,1,1))]. 6987 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [para(6512(a,2),2790(a,1))]. 6988 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5459(a,1),6512(a,2,2))]. 6989 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(108(a,1),6577(a,1,1,1)),flip(a)]. 6990 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(110(a,1),6577(a,1,1,1))]. 6991 K(L(x \ 1,y,z),((u * x) \ u) \ u) = K(L(x \ 1,y,z),u * x). [para(5953(a,1),6989(a,1,2))]. 6992 K(R((x * y) / x,z,u),T(w,y * x)) = K(R(L(y,x,y),z,u),w). [para(507(a,1),6578(a,1,1,1)),flip(a)]. 6993 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1582(a,1),6578(a,1,1)),flip(a)]. 6994 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(2783(a,1),6578(a,2,2))]. 6995 K(x,(y \ (z \ y)) \ 1) \ (z * u) = T(z,T(x,y)) * u. [para(6611(a,2),6600(a,1,1))]. 6996 T(x,y) \ (T(T(x,y),z) * u) = x \ (T(x,T(z,y)) * u). [para(6601(a,2),4964(a,2))]. 6997 T(x \ (T(x,T(y,z)) * u),T(x,T(y,z)) * u) = T(K(y,T(x,z)) \ u,T(T(x,T(y,z)) * u,x)). [para(6601(a,1),6778(a,1,1)),flip(a)]. 6998 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [para(6620(a,2),5200(a,1))]. 6999 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [para(6621(a,2),4879(a,1))]. 7000 (x \ L(T(x,y),z,u)) * K(w,x) = T(x,w) \ L(T(x,y),z,u). [para(577(a,1),6999(a,1,2,2))]. 7002 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6027(a,2),6626(a,1,2))]. 7003 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(3558(a,1),6644(a,1,2))]. 7004 K(x,y \ z) \ (z / y) = T(z / y,T(x,y)). [para(6648(a,1),4906(a,2))]. 7005 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(6114(a,1),6648(a,1,1))]. 7006 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(4857(a,2),6654(a,1,2))]. 7009 (x / L(y,z,y)) * y != y * u | L(y,z,y) \ x = u. [para(6717(a,2),19(a,1))]. 7010 K(x,R(y,z,y)) * ((u / y) * R(y,z,y)) = R(y,z,y) * (K(x,R(y,z,y)) * (y \ u)). [para(6718(a,1),4980(a,1,2))]. 7011 (x / R(y,z,y)) * y != y * u | R(y,z,y) \ x = u. [para(6720(a,2),19(a,1))]. 7012 T(x,y) \ (z * x) = T(K(y,x) * z,x). [hyper(17,a,4581,a,b,6723,a),flip(a)]. 7013 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(7012(a,1),4975(a,1))]. 7014 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(5733,a,7013,a),flip(a)]. 7015 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [hyper(5723,a,7013,a)]. 7016 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5023(a,1),7013(a,1,1)),flip(a)]. 7017 T((x / y) * K(y,z),y) = (y \ x) * K(y,z). [para(111(a,1),7014(a,2,1))]. 7018 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [para(7014(a,2),4855(a,1,2))]. 7019 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [para(7014(a,2),5778(a,2))]. 7020 x \ (y * T(x,z)) = T(y,x) * K(x,z). [para(7014(a,1),5783(a,2))]. 7021 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(13(a,1),7015(a,1,2,1)),flip(a)]. 7022 (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). [para(7015(a,1),1082(a,1,2)),flip(a)]. 7023 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z. [para(7015(a,1),1370(a,1,1)),flip(a)]. 7024 K(x \ 1,y) * (x \ K(y,z)) = T(x \ K(y,z),y). [para(7015(a,1),4835(a,2))]. 7025 T(x * K(y,z),z) = T(x,z) * K(y,z). [para(7015(a,1),5736(a,1,1)),flip(a)]. 7026 (T(x,y) / y) * T(y,z) = y \ (x * T(y,z)). [para(7020(a,2),5778(a,2))]. 7027 T(x,y) * L(K(y,z),y,u) = y \ (x * T(y,z)). [para(5815(a,2),7020(a,2,2)),flip(a)]. 7028 x \ (T(y,x) * T(x,z)) = T(x \ (y * T(x,z)),x). [para(7020(a,2),5783(a,2,1))]. 7029 T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). [para(38(a,1),7021(a,2,2))]. 7030 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(40(a,2),7021(a,2,2))]. 7031 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [para(7021(a,2),5342(a,1))]. 7032 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(6119(a,1),6728(a,1,2))]. 7033 K(x * y,K(x,z)) = K(y,K(x,z)). [para(6732(a,1),6548(a,1))]. 7034 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(14(a,1),7033(a,1,1)),flip(a)]. 7035 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [para(6741(a,2),6461(a,1))]. 7036 (x * y) * K(x,K(z,T(u,y))) = K(x,K(z,u)) * (x * y). [para(6535(a,2),6743(a,1,2,2))]. 7037 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [hyper(6614,a,6751,a)]. 7039 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(59(a,1),7037(a,1,2,1,1))]. 7040 K(x,y \ (x \ 1)) = K(x,x \ (y \ 1)). [para(6760(a,1),6419(a,1))]. 7041 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(6760(a,1),6434(a,2,2))]. 7042 (x \ (1 / y)) * K(x,y \ (x \ 1)) = (1 / y) / x. [para(7040(a,2),5328(a,1,2))]. 7043 T(x,y) * ((T(x,y) \ z) * x) = x * ((x \ z) * x). [para(6766(a,1),807(a,1,2)),flip(a)]. 7044 x * K(T(y,z) \ x,y) = (y \ x) * y. [para(6766(a,1),5807(a,1)),flip(a)]. 7045 x / T(y,T(y,z) \ x) = y \ x. [hyper(6864,a,7044,a)]. 7046 K(T(x,y) \ z,x) = K(x \ z,x). [hyper(17,a,209,a,b,7044,a)]. 7047 T(x,T(x,y) \ z) = (x \ z) \ z. [para(7045(a,1),61(a,1,1)),flip(a)]. 7048 (T(x,y) / z) / T(x,1 / z) = x \ (T(x,y) / z). [para(5959(a,1),7045(a,1,2))]. 7051 K(x / T(y,z),y) = K(y \ x,y). [para(7046(a,1),6574(a,2))]. 7052 T(x,T(x,y) \ z) = T(x,x \ z). [para(7047(a,2),110(a,2)),flip(a)]. 7053 (x / T(y,z)) * K(y \ x,y) = T(x / T(y,z),y). [para(7051(a,1),4597(a,2,2)),flip(a)]. 7055 T(x,x \ (T(x,y) * z)) = T(x,z). [para(13(a,1),7052(a,1,2)),flip(a)]. 7056 T(x / y,(x / y) \ z) = T(x / y,(y \ x) \ z). [para(111(a,1),7052(a,1,2,1)),flip(a)]. 7058 T(x,K(x,y) * z) = T(x,z). [para(4855(a,1),7055(a,1,2))]. 7059 T(x,K(x,y) \ z) = T(x,z). [para(14(a,1),7058(a,1,2)),flip(a)]. 7060 T(x,K(x,y) * L(K(z,x),u,w)) = x. [para(7058(a,2),2824(a,1))]. 7061 T(x,K(y,x) * z) = T(x,z). [para(4907(a,1),7058(a,1,2)),flip(a)]. 7062 T(x,T(y,x) \ z) = T(x,y \ z). [para(4879(a,1),7058(a,1,2))]. 7064 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7058(a,1),5100(a,1,1))]. 7066 T(x,(y / x) \ z) = T(x,(x \ y) \ z). [para(5339(a,1),7058(a,1,2)),flip(a)]. 7067 T(x,y \ T(z,x)) = T(x,y \ z). [para(5162(a,1),7058(a,1,2)),flip(a)]. 7069 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7061(a,1),4121(a,1,3))]. 7070 T(x,y * K(z,x)) = T(x,y). [para(6640(a,1),7061(a,1,2))]. 7071 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(7070(a,1),4598(a,1,2,1)),flip(a)]. 7072 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(5842(a,1),7070(a,1,2))]. 7073 T(x,y * K(x,z)) = T(x,y). [para(6794(a,1),7070(a,1,2)),flip(a)]. 7074 T(x,y * T(x,z)) = T(x,y * x). [para(6824(a,1),7070(a,1,2)),flip(a)]. 7075 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(7073(a,1),161(a,1,2,1))]. 7077 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(7073(a,1),3848(a,1,2,1))]. 7078 T(L(L(x * K(y,z),y,x * K(y,z)),u,w) * y,x * K(y,z)) = L(x * K(y,z),u,w) * T(y,x). [para(7073(a,1),4061(a,2,2))]. 7079 K(x,y * K(x,z)) = x \ T(x,y). [para(7073(a,1),4571(a,2,2))]. 7080 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(5417(a,1),7073(a,1,2,2))]. 7081 (x / (x * y)) \ T(x,y) = x * (y * K(x,y)). [para(7073(a,1),4763(a,1,2))]. 7083 T(x,y \ (z / x)) = T(x,y \ (x \ z)). [para(111(a,1),7067(a,1,2,2)),flip(a)]. 7084 (x * T(y,z)) * T(y,x * y) = y * (x * T(y,z)). [para(7074(a,1),109(a,1,2))]. 7085 T(x,y * T(x,z)) = T(x,x * y). [para(7074(a,2),3978(a,1))]. 7087 T(x,K(y,x * K(y,z))) = x. [para(7079(a,2),2793(a,1,2))]. 7088 K(x,y * K(x,z)) = K(x,y). [para(7079(a,2),4571(a,2)),flip(a)]. 7089 K(x,K(y,x * K(y,z))) = 1. [hyper(36,a,7087,a)]. 7090 K(x,y * L(K(x,z),u,w)) = K(x,y). [para(5417(a,1),7088(a,1,2,2))]. 7091 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7088(a,1),5790(a,1,1)),flip(a)]. 7092 K(x,K(x,y) * z) = K(x,z). [para(6537(a,1),7088(a,1,2))]. 7093 K(x,K(y,x) \ z) = K(x,z). [para(6618(a,1),7088(a,1,2))]. 7094 K(x,K(y,x) * z) = K(x,z). [para(6708(a,1),7088(a,1,2)),flip(a)]. 7095 K(x,y / K(z,x)) = K(x,y). [para(6792(a,2),7088(a,1,2))]. 7096 K(x,y * K(z,x)) = K(x,y). [para(6794(a,1),7088(a,1,2)),flip(a)]. 7097 K(x,T(y,x) \ z) = K(x,y \ z). [para(6999(a,1),7088(a,1,2))]. 7098 K(x,K(x,y) \ z) = K(x,z). [para(14(a,1),7092(a,1,2)),flip(a)]. 7099 K(x,T(x,y) * z) = K(x,x * z). [para(4627(a,1),7092(a,1,2))]. 7100 K(x,T(x,y) \ z) = K(x,x \ z). [para(4870(a,1),7092(a,1,2)),flip(a)]. 7101 K(x,((y * x) / y) \ z) = K(x,x \ z). [para(4856(a,2),7092(a,1,2))]. 7102 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [para(5339(a,1),7092(a,1,2)),flip(a)]. 7103 K(x,y \ T(z,x)) = K(x,y \ z). [para(5162(a,1),7092(a,1,2)),flip(a)]. 7104 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(6343(a,1),7092(a,1,2,1))]. 7105 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(7094(a,1),5560(a,1,2))]. 7106 K(x,y \ K(z,x)) = K(x,y \ 1). [para(7095(a,1),5111(a,1))]. 7107 K(x,(y * z) * (z \ K(u,x))) = K(x,R(y,z,z \ K(u,x))). [para(252(a,1),7096(a,1,2))]. 7108 K(x * K(y,z),z) = 1 / K(z,x). [para(7096(a,1),4801(a,1,2)),flip(a)]. 7109 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7096(a,1),5208(a,1,1))]. 7110 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(5842(a,1),7096(a,1,2))]. 7111 T(x,x * (y / T(x,z))) = T(x,y). [para(16(a,1),7085(a,1,2)),flip(a)]. 7112 K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). [para(7014(a,2),7099(a,1,2))]. 7113 K(x / y,(x / y) \ z) = K(x / y,(y \ x) \ z). [para(111(a,1),7100(a,1,2,1)),flip(a)]. 7114 K(x,x \ ((T(x,y) / z) * (z * u))) = K(x,L(u,z,T(x,y) / z)). [para(98(a,1),7100(a,1,2)),flip(a)]. 7116 K(x * K(y,z),z) = K(x,z). [para(7108(a,2),4801(a,1))]. 7117 K(x * T(y,z),z) = K(x * y,z). [para(1087(a,1),7116(a,1,1))]. 7118 K(x \ T(y,z),z) = K(x \ y,z). [para(1091(a,1),7116(a,1,1))]. 7119 K(x * L(K(y,z),u,w),z) = K(x,z). [para(5441(a,1),7116(a,1,1,2))]. 7121 K(K(x,y) * z,y) = K(z,y). [para(6567(a,1),7116(a,1,1))]. 7122 K(x * K(y,z \ u),u / z) = K(x,u / z). [para(6572(a,1),7116(a,1,1,2))]. 7123 K(K(x,y) \ z,x) = K(z,x). [para(6641(a,1),7116(a,1,1))]. 7124 K(K(x,y) * z,x) = K(z,x). [para(6709(a,1),7116(a,1,1)),flip(a)]. 7125 K(x * K(y,z),y) = K(x,y). [para(6794(a,1),7116(a,1,1)),flip(a)]. 7126 K(x * T(y,z),y) = K(x * y,y). [para(6824(a,1),7116(a,1,1)),flip(a)]. 7127 K(T(x,y) * z,x) = K(x * z,x). [para(4582(a,1),7121(a,1,1)),flip(a)]. 7129 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(6580(a,1),7121(a,1,1,1))]. 7130 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(6600(a,1),7123(a,1,1))]. 7133 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(7124(a,1),5815(a,1,1))]. 7134 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6343(a,1),7124(a,1,1,1))]. 7137 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(7125(a,1),5265(a,1,1,1,2)),flip(a)]. 7138 K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). [para(5932(a,1),7117(a,1,1,2)),flip(a)]. 7139 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(6173(a,1),7117(a,1,1)),flip(a)]. 7140 K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). [para(6506(a,1),7117(a,1,1,2)),flip(a)]. 7141 K(x \ (y \ (z * y)),y) = K(x \ z,y). [para(32(a,1),7118(a,1,1,2))]. 7143 K(x * T(y,z),y) = K(y * x,y). [para(7126(a,2),5189(a,1))]. 7144 (T(x,y) * z) * K(x * z,x) = T(T(x,y) * z,x). [para(7127(a,1),4597(a,2,2)),flip(a)]. 7145 K(x * (y / T(x,z)),x) = K(y,x). [para(16(a,1),7143(a,1,1)),flip(a)]. 7146 K(T(x,y) * z,x) = K(z * T(x,u),x). [para(7143(a,2),7127(a,2))]. 7147 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(6096(a,1),7080(a,1,2,2))]. 7148 K(x,y * (z * K(x,u))) = K(x,y * z). [para(95(a,1),7090(a,1,2))]. 7149 K(x,(K(x,y) * z) * u) = K(x,z * u). [para(104(a,1),7104(a,1,2))]. 7150 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(6225(a,1),7104(a,1,2,1))]. 7151 K(x * (y * K(z,u)),u) = K(x * y,u). [para(95(a,1),7119(a,1,1))]. 7152 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(6100(a,1),7119(a,1,1,2))]. 7153 K((K(x,y) * z) * u,x) = K(z * u,x). [para(104(a,1),7134(a,1,1))]. 7154 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(6225(a,1),7134(a,1,1,1))]. 7155 T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). [para(87(a,1),7147(a,1,2))]. 7156 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(341(a,1),7147(a,1,2))]. 7157 K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). [para(7147(a,1),4549(a,1,1,1)),flip(a)]. 7158 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(4535(a,1),7150(a,1,2))]. 7159 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(4907(a,1),7150(a,1,2)),flip(a)]. 7160 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(4870(a,1),7150(a,1,2)),flip(a)]. 7161 K(x,(y / R(x,z,u)) \ w) = K(x,(R(x,z,u) \ y) \ w). [para(5339(a,1),7150(a,1,2)),flip(a)]. 7162 K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). [para(87(a,1),7152(a,1,1)),flip(a)]. 7163 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(209(a,1),7152(a,1,1))]. 7164 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(6709(a,1),7152(a,1,1)),flip(a)]. 7165 K(x * K(L(y,z,u),w),y) = K(x,y). [para(6794(a,1),7152(a,1,1)),flip(a)]. 7166 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(4535(a,1),7154(a,1,1))]. 7167 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(4582(a,1),7154(a,1,1)),flip(a)]. 7168 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(6640(a,1),7159(a,1,2))]. 7169 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(5842(a,1),7168(a,1,2))]. 7170 T(x,(y * x) / z) = T(x,y / (x \ z)). [para(7072(a,1),6516(a,2))]. 7172 K(x,x \ y) * (((z * x) / z) \ y) = (x * (((z * x) / z) \ y)) / x. [para(7101(a,1),4617(a,2,1)),flip(a)]. 7173 K(x,(y / x) \ z) = K(x,y \ (x * z)). [para(7102(a,2),6446(a,1))]. 7174 K(x,(y * x) / z) = K(x,y / (x \ z)). [para(7110(a,1),6483(a,2))]. 7175 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(4582(a,1),7129(a,1,1)),flip(a)]. 7176 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(7130(a,1),5102(a,1,1,2))]. 7177 K(x,y * (z * L(K(x,u),w,v5))) = K(x,y * z). [para(5417(a,1),7148(a,1,2,2,2))]. 7178 K(x,y * (K(x,z) * u)) = K(x,y * u). [para(6537(a,1),7148(a,1,2,2))]. 7179 K(x,y * (z * K(u,x))) = K(x,y * z). [para(6794(a,1),7148(a,1,2,2)),flip(a)]. 7180 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(1091(a,1),7151(a,1,1,2))]. 7181 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(5791(a,1),7151(a,1,1,2)),flip(a)]. 7182 K(x * (K(y,z) * u),y) = K(x * u,y). [para(6709(a,1),7151(a,1,1,2)),flip(a)]. 7183 K(x * (y * K(z,u)),z) = K(x * y,z). [para(6794(a,1),7151(a,1,1,2)),flip(a)]. 7184 K(K(x,T(y,z)) * u,z) = K(K(x,y) * u,z). [para(6550(a,1),7153(a,1,1,1))]. 7185 K(x / y,z * (y * (x / y))) = K(x / y,z * x). [para(210(a,1),7179(a,1,2,2))]. 7186 K(x,y * (z * L(K(u,x),w,v5))) = K(x,y * z). [para(5441(a,1),7179(a,1,2,2,2))]. 7187 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(7182(a,1),5506(a,1,2,1,2)),flip(a)]. 7188 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(7182(a,1),5507(a,1,2,1,2)),flip(a)]. 7189 K(x,y) \ ((y * z) / y) = (T(y,x) * z) / y. [para(6767(a,1),4906(a,2))]. 7190 K(x,((y / z) \ 1) \ z) = ((y / z) \ T(y,x)) \ z. [para(16(a,1),6816(a,1,1,2,1)),flip(a)]. 7192 (x * y) / T(T(x,y),z) = K(z,x) * y. [para(6837(a,2),6537(a,1))]. 7193 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(6498(a,1),7192(a,1,2,1))]. 7194 (x / (y / z)) * K(u,z \ y) = x / T(y / z,T(u,z)). [para(111(a,1),6841(a,1,2,2))]. 7195 (T(x,y) \ y) * ((x \ y) \ y) = T(y,x). [hyper(18,a,4402,a,b,6843,a)]. 7197 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(6848(a,1),4885(a,1,1))]. 7198 ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). [para(5344(a,1),6856(a,1,1))]. 7200 (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. [para(6877(a,2),4644(a,1))]. 7201 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [para(6896(a,1),5189(a,2))]. 7202 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [para(6896(a,1),5962(a,1)),flip(a)]. 7206 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(6938(a,2),6512(a,2)),flip(a)]. 7207 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [para(6939(a,2),2912(a,2)),flip(a)]. 7208 T(K(x,y),(x \ z) * T(x,u)) = T(K(x,y),z). [para(6962(a,2),6955(a,1))]. 7209 K(x \ y,T(x,z * K(y,z))) = K(x \ y,T(x,z)). [para(4573(a,1),6967(a,1,2,2)),flip(a)]. 7210 K(x,y) * (z * x) = z * T(x,T(y,z)). [para(6974(a,1),5779(a,1))]. 7211 (x * y) * T(K(y,z),x) = K(y,z) * (x * y). [para(6535(a,1),6974(a,1,2))]. 7212 K(x,K(y,z)) * (T(y,u) * x) = T(y,u) * T(x,K(y,z)). [para(2906(a,1),7210(a,2,2,2))]. 7213 K(x,y) \ (z * y) = z * T(y,T(x,z)). [para(7210(a,1),4906(a,2))]. 7214 T(x,y) * T(z,x) = z * T(x,T(y,z)). [para(7210(a,1),4857(a,1)),flip(a)]. 7215 x \ (T(y,z) * T(x,y)) = T(y,T(z,x)). [hyper(71,a,7214,a(flip))]. 7217 (x / y) \ (L(y,z,y) * (y \ x)) = L(y,z,y). [hyper(71,a,6985,a(flip))]. 7218 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(6696(a,1),6994(a,1,1,1)),flip(a)]. 7219 K(x * y,K(y,z)) = K(z,K(y,x)). [para(7002(a,1),4571(a,2))]. 7220 T((x / y) * K(y,z),y) != u * K(y,z) | y \ x = u. [para(7017(a,2),20(a,1))]. 7221 (T(x * y,y) / y) * T(y,z) = T(x * T(y,z),y). [para(5779(a,1),7019(a,2,1))]. 7222 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(6174(a,1),7019(a,1,1,1)),flip(a)]. 7223 x \ ((y / x) * T(x,z)) = ((x \ y) / x) * T(x,z). [para(111(a,1),7026(a,1,1,1)),flip(a)]. 7224 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(14(a,1),7032(a,1,2,2,2))]. 7225 (x / (x * y)) \ T(x,y) = T(x,y) * y. [para(7081(a,2),4587(a,1))]. 7227 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(7105(a,1),2920(a,1,2))]. 7228 K(x * T(y,z \ u),u / z) = K(x * y,u / z). [para(1087(a,1),7122(a,1,1))]. 7229 K(T(x,y) * z,T(T(x,u),w)) = T(T(x,u),w) \ T(T(x,u) * K(x * z,T(x,u)),w). [para(7175(a,1),5336(a,1,2,1,2)),flip(a)]. 7230 K(x * ((y * z) \ z),y) = K(x * ((z * y) \ z),y). [para(6048(a,1),7180(a,1,1,2))]. 7231 K(x * (y / (z * y)),z \ 1) = K(x * ((z * y) \ y),z \ 1). [para(3804(a,1),7181(a,1,1,2)),flip(a)]. 7232 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(3798(a,1),7181(a,1,1,2)),flip(a)]. 7233 K(x,T(y,z)) \ ((R(z,u,w) * T(y,z)) / T(y,z)) = (T(T(y,z),x) * R(T(z,y),u,w)) / T(y,z). [para(3856(a,1),7189(a,1,2,1))]. 7234 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(7201(a,1),5671(a,1,1,1))]. 7235 ((x \ y) * T(x,z)) * T(K(x,u),y) = K(x,u) * ((x \ y) * T(x,z)). [para(7208(a,1),109(a,1,2))]. 7236 T(K(x,y),z * x) = T(K(x,y),z). [hyper(150,a,7211,a)]. 7237 T(K(x,y),x \ z) = T(K(x,y),z). [para(7236(a,1),6955(a,1))]. 7238 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(7227(a,1),801(a,1,2)),flip(a)]. 7239 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [para(6472(a,2),6096(a,1))]. 7240 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(343(a,1),7239(a,1,2)),flip(a)]. 7241 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(3797(a,1),6758(a,2,2,2,2))]. 7242 L(K(x,x \ y),y,x \ z) = K(x,z \ ((x \ z) * y)). [para(6761(a,2),6665(a,1))]. 7243 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(6804(a,1),19(a,1)),flip(a)]. 7244 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(6804(a,1),6976(a,1,2,2)),flip(a)]. 7245 T(x,y * (z * x)) = T(x,y * (x * z)). [para(6804(a,1),7073(a,1,2)),flip(a)]. 7247 R(x,T(y,z),T(z,y)) = R(x,y,z). [hyper(3877,a,6901,a)]. 7248 ((x * y) * z) / (y * z) = R(x,T(y,z),T(z,y)). [para(7247(a,2),30(a,1)),flip(a)]. 7251 K(x,T(y,z * (u * K(w,x)))) = K(x,T(y,z * u)). [para(95(a,1),6975(a,1,2,2))]. 7252 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(6100(a,1),6982(a,1,1))]. 7253 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [para(7252(a,1),6085(a,1))]. 7254 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [para(7109(a,1),6365(a,1)),flip(a)]. 7255 K(x,R(y,K(z,x),u)) = K(x,y). [para(7254(a,2),7096(a,1))]. 7256 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(46(a,1),7255(a,1,2))]. 7258 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [para(7133(a,1),6096(a,1)),flip(a)]. 7259 K(L(x,K(y,z),u),y) = K(x,y). [para(7258(a,2),7124(a,1))]. 7260 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(193(a,1),7259(a,1,1))]. 7262 K(x,y * (z * (u * K(w,x)))) = K(x,y * (z * u)). [para(95(a,1),7186(a,1,2,2))]. 7263 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(329,a,6453,a)]. 7264 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [para(7263(a,1),6106(a,1)),flip(a)]. 7265 T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). [para(6497(a,1),1024(a,1,1,2))]. 7266 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(6643(a,1),6551(a,1,1,2)),flip(a)]. 7267 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(42(a,2),6561(a,2,2))]. 7268 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(2502(a,1),6615(a,1,2,2))]. 7269 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(71,a,6662,a)]. 7270 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [para(6669(a,1),4390(a,1))]. 7271 K(x,y) * T(K(x,z) * u,K(x,y)) = K(x,z) * (u * K(x,y)). [para(6694(a,1),109(a,2))]. 7273 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(42(a,2),6737(a,2,2))]. 7274 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(6762(a,1),4878(a,1,2))]. 7275 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4264(a,1),6780(a,1,1))]. 7276 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [para(6817(a,1),6362(a,1))]. 7277 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [para(7276(a,1),14(a,1,2))]. 7278 K(x,((T(y,x) / z) \ 1) \ ((T(y,x) / z) \ y)) = z \ ((T(y,x) / z) \ y). [hyper(228,a,6818,a),flip(a)]. 7279 K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). [para(6821(a,1),4296(a,2,2))]. 7280 (x * (y \ z)) * T(y,y \ z) = R(x,z / y,y) * z. [para(6853(a,2),360(a,2)),flip(a)]. 7281 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5023(a,1),6863(a,1,2))]. 7282 R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). [para(7281(a,1),140(a,2,2))]. 7283 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(5546(a,2),6865(a,2,2))]. 7284 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [para(6876(a,1),4702(a,2)),flip(a)]. 7285 x * K(x,y \ (z \ y)) = T(x,(z * y) \ y). [para(7284(a,2),4597(a,1)),flip(a)]. 7286 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [para(7284(a,1),5942(a,2))]. 7287 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [para(7284(a,1),6752(a,2))]. 7288 T(x,T((y / z) \ 1,y)) = T(x,y \ z). [para(61(a,1),7287(a,2,2,2))]. 7289 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(17,a,4597,a(flip),b,7285,a),flip(a)]. 7290 K(x,T(y \ 1,z)) = K(x,(y * z) \ z). [para(7289(a,2),7039(a,2))]. 7291 T(K(x,y),z * y) = T(K(x,y),y * z). [para(6878(a,1),6786(a,1))]. 7292 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(7291(a,2),4813(a,1,1))]. 7293 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [para(6881(a,2),6461(a,1))]. 7294 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [para(6903(a,1),6619(a,1))]. 7295 R(x,K(y,z),T(z,u)) = x. [hyper(361,a,6909,a)]. 7296 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(6168,a,6928,a),flip(a)]. 7297 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(329,a,6928,a)]. 7299 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(18,a,4609,a(flip),b,7024,a),flip(a)]. 7300 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(5417(a,1),7299(a,1,1,2))]. 7301 K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x). [para(7299(a,1),5807(a,2,2)),flip(a)]. 7302 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). [para(7300(a,1),5262(a,1,1,1,2)),flip(a)]. 7303 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [para(7029(a,2),4880(a,1))]. 7304 (1 / x) / T(y,x \ (y \ 1)) = y \ (1 / x). [hyper(18,a,5791,a,b,7042,a),flip(a)]. 7305 (1 / x) * K(x \ (y \ 1),y) = (y \ (1 / x)) * y. [para(7304(a,1),6842(a,1,1)),flip(a)]. 7306 K(x,y) \ ((x \ z) * x) = (T(x,y) \ z) * x. [hyper(4965,a,7043,a)]. 7307 K(x,y) \ ((x \ z) * x) = (x \ (K(x,y) \ z)) * x. [para(4902(a,2),7306(a,2,1))]. 7308 x \ (T(x,1 / y) / y) = (x / y) / x. [para(7048(a,1),6166(a,1))]. 7309 x \ (T(x,y) / R(1 / y,y,z)) = (x / R(1 / y,y,z)) / x. [para(3947(a,1),7308(a,1,2,1))]. 7310 x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). [para(7138(a,1),6894(a,1,2,2))]. 7311 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(42(a,2),7160(a,1,2,1))]. 7312 K(x,R(x,y,z) \ (R(x,y,z) * (T(R(x,y,z),u) * w))) = K(x,R(x,y,z) * w). [para(800(a,1),7160(a,1,2)),flip(a)]. 7313 T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). [para(111(a,2),7198(a,1,1))]. 7314 T((x \ y) * T(x,z),x) = (x \ T(y,x)) * T(x,z). [para(1039(a,1),7221(a,1,1)),flip(a)]. 7315 K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). [para(5944(a,1),7228(a,1,1)),flip(a)]. 7316 K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). [para(6567(a,1),7251(a,1,2,2,2))]. 7317 K((x * K(y,z)) \ u,y) = K(x \ u,y). [para(7260(a,2),7123(a,1))]. 7318 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(6708(a,1),7317(a,1,1,1)),flip(a)]. 7319 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(6794(a,1),7317(a,1,1,1)),flip(a)]. 7321 K((x * (y / z)) \ u,z) = K((x * (z \ y)) \ u,z). [para(6819(a,1),7317(a,1,1,1))]. 7322 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(6804(a,1),7317(a,1,1,1)),flip(a)]. 7323 K(x \ (K(y,z) * u),y) = K(x \ u,y). [para(7318(a,1),6699(a,1)),flip(a)]. 7324 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(7319(a,1),6793(a,1,1,2)),flip(a)]. 7325 K(x \ (K(y,z) \ u),y) = K(x \ u,y). [para(14(a,1),7323(a,1,1,2)),flip(a)]. 7326 K(x \ (y * z),z) = K(x \ (z * y),z). [para(4535(a,1),7323(a,1,1,2)),flip(a)]. 7327 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(4540(a,1),7323(a,1,1,2)),flip(a)]. 7328 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(4907(a,1),7323(a,1,1,2)),flip(a)]. 7329 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(4711(a,1),7323(a,1,1,2)),flip(a)]. 7330 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(4870(a,1),7323(a,1,1,2)),flip(a)]. 7333 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5117(a,1),7328(a,1,1,2))]. 7334 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(5298(a,1),7328(a,1,1,2))]. 7335 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(152(a,1),7334(a,1,1)),flip(a)]. 7336 K(x,y * (z * (K(u,x) * w))) = K(x,y * (z * w)). [para(6567(a,1),7262(a,1,2,2,2))]. 7337 K(x,y * (z * (K(x,u) * w))) = K(x,y * (z * w)). [para(6709(a,1),7262(a,1,2,2,2)),flip(a)]. 7338 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(6535(a,2),7267(a,1,1))]. 7339 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [para(13(a,1),7270(a,2,2,2,1))]. 7340 x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. [para(7270(a,1),19(a,1))]. 7341 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(13(a,1),7273(a,1,2,1,2)),flip(a)]. 7342 K(K(x,y),y * z) = K(z * y,K(y,x)). [para(7292(a,1),5367(a,1))]. 7343 K(x * y,K(y,z)) = K(y * x,K(y,z)). [para(7342(a,1),5370(a,1))]. 7344 K(x * y,K(y,z)) = K(x,K(y,z)). [para(7343(a,2),7033(a,1))]. 7345 L(x,y * z,K(y,K(z,u))) = x. [para(7344(a,1),3780(a,1,3))]. 7346 K(x,K(y,z)) = K(z,K(y,x)). [para(7344(a,1),7219(a,1))]. 7347 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(7346(a,1),87(a,1,2))]. 7348 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(7346(a,1),4563(a,2,1)),flip(a)]. 7349 x * K(y,K(z,x)) = T(x,K(z,y)). [para(7346(a,1),4597(a,2,2)),flip(a)]. 7350 K(x,K(y,z)) * z = T(z,K(y,x)). [para(7346(a,1),4609(a,2,1)),flip(a)]. 7351 K(K(x,y),z) = K(x,K(y,z)). [para(7346(a,1),5370(a,2))]. 7352 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(7346(a,1),5374(a,1,1))]. 7353 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(7346(a,1),5371(a,1,2))]. 7354 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(7346(a,1),5373(a,1,1))]. 7355 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(7346(a,1),6549(a,1,2))]. 7356 K(x,K(y,z * y)) = K(x,K(y,z)). [para(7346(a,1),7219(a,1))]. 7357 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(7346(a,1),6552(a,1,1))]. 7358 T(x,K(y,z)) * K(y,K(z,x)) = x. [para(7351(a,1),4547(a,1,2))]. 7359 K(x,K(y,z)) \ z = T(z,K(x,y)). [para(7351(a,1),4563(a,2,1)),flip(a)]. 7360 K(x,K(y,z)) * (z \ u) = T(z,K(x,y)) \ u. [para(7351(a,1),4879(a,1,1))]. 7361 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [para(7351(a,2),5459(a,1))]. 7362 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(7351(a,1),5445(a,2,1))]. 7363 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(7351(a,1),5779(a,1,2))]. 7364 (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. [para(7351(a,1),6165(a,1,2))]. 7365 R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(7351(a,1),6337(a,2))]. 7366 K(x,K(K(x,y) * z,u)) = K(K(x,z),u). [para(7092(a,1),7351(a,1,1)),flip(a)]. 7367 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(7124(a,1),7351(a,1,1)),flip(a)]. 7368 (K(x,K(y,z)) * (x * y)) \ (K(x,K(y,z)) * (x * (y * u))) = L(u,y,x). [para(7345(a,1),332(a,2))]. 7370 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(7349(a,1),6976(a,1,2,2))]. 7371 T(x,T(y,K(z,x))) = T(x,y). [para(7349(a,1),7073(a,1,2))]. 7372 T(x,K(y,y * z)) = K(z,K(y,x)) * x. [para(7033(a,1),7350(a,1,1)),flip(a)]. 7373 K(K(x,y),z) = K(y,K(z,x)). [para(7352(a,1),4796(a,1)),flip(a)]. 7374 K(x,K(y,z)) = K(y,K(x,z)). [para(7352(a,1),5374(a,1))]. 7375 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(7373(a,1),4597(a,2,2)),flip(a)]. 7376 x * K(y,K(x,z)) = T(x,K(y,z)). [para(7373(a,1),5372(a,1,2))]. 7377 K(K(x,y),z) = K(x,K(z,y)). [para(7373(a,2),7346(a,1))]. 7378 K(x,K(y,z)) = K(z,K(x,y)). [para(7373(a,1),7351(a,1))]. 7379 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7374(a,1),4609(a,2,1)),flip(a)]. 7380 x * (K(y,K(x,z)) * u) = T(x,K(y,z)) * u. [para(7374(a,1),4575(a,1,2,1))]. 7381 K(x,K(y,z)) * (y * u) = T(y,K(x,z)) * u. [para(7374(a,1),4627(a,1,1))]. 7382 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(5131(a,2),7374(a,1,2))]. 7383 (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. [para(7374(a,1),4938(a,1,2))]. 7384 (x * y) * K(z,K(y,u)) = x * T(y,K(z,u)). [para(7374(a,1),5779(a,1,2))]. 7385 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(6698(a,1),7374(a,1,2)),flip(a)]. 7386 K(x,y) * K(y,K(z,x)) = K(x,T(y,z)). [para(7374(a,1),6549(a,1,2))]. 7387 K(x,K(x * y,z)) = K(y,K(x,z)). [para(7374(a,1),7033(a,1))]. 7388 K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). [para(7092(a,1),7374(a,1,2)),flip(a)]. 7389 K(x,K(y,z)) * (K(z,x) * u) = K(z,T(x,y)) * u. [para(7374(a,1),6552(a,1,1))]. 7390 K(K(x,y),z) = K(y,K(x,z)). [para(7374(a,1),7351(a,2))]. 7391 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7374(a,1),7349(a,1,2))]. 7392 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7374(a,1),7350(a,1,1))]. 7393 K(x,K(y,z)) \ y = T(y,K(x,z)). [para(7377(a,1),4563(a,2,1)),flip(a)]. 7394 (x / y) * K(z,K(y,u)) = x / T(y,K(z,u)). [para(7377(a,1),6823(a,1,2))]. 7395 K(x,K(y,z)) = K(x,K(z,y)). [para(7377(a,1),7351(a,1))]. 7396 K(K(x,y),z) = K(z,K(x,y)). [para(7377(a,2),7374(a,1))]. 7397 K(x,K(y,z)) * y = T(y,K(z,x)). [para(7378(a,1),4609(a,2,1)),flip(a)]. 7398 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(7378(a,2),4627(a,1,1))]. 7399 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(7378(a,2),5474(a,1,1))]. 7400 (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). [para(7378(a,2),5779(a,1,2))]. 7401 K((x \ y) \ 1,K(z,u)) = K(z,K(u,y \ x)). [para(7378(a,2),5861(a,2))]. 7402 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [para(7378(a,2),5864(a,2,2))]. 7403 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(6573(a,1),7378(a,1,2))]. 7404 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [para(7378(a,2),6548(a,2))]. 7405 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(7378(a,1),6549(a,1,2))]. 7406 K(x,y) * K(y,K(x,z)) = K(x,T(y,z)). [para(7378(a,2),6549(a,1,2))]. 7407 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(7378(a,2),6550(a,1,1))]. 7408 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7378(a,1),7350(a,1,1))]. 7409 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7390(a,1),4535(a,1,1))]. 7410 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5459(a,1),7390(a,1,1)),flip(a)]. 7411 x * K(K(y,z),x) = T(x,K(y,z)). [para(7390(a,2),7349(a,1,2))]. 7412 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(7395(a,1),5375(a,1,1))]. 7413 K(x,y) * K(z,K(x,y)) = T(K(x,y),z). [para(7395(a,1),5371(a,1,2))]. 7414 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(7395(a,1),5377(a,1,1))]. 7415 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(5611(a,1),7395(a,1,2)),flip(a)]. 7416 K(x,K(y,T(z,u))) = K(x,T(K(z,y),u)). [para(6565(a,1),7395(a,1,2)),flip(a)]. 7417 K(x,K(y,T(z,u))) = K(x,K(z,T(y,u))). [para(6573(a,1),7395(a,1,2))]. 7418 K(x,K(y,T(z,x))) = K(x,K(z,y)). [para(7395(a,1),6543(a,2))]. 7419 K(x,K(y / z,T(u,z))) = K(x,K(u,z \ y)). [para(6579(a,2),7395(a,1,2))]. 7420 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(7395(a,1),6549(a,1,2))]. 7421 K(x,K(y,z)) \ u = K(x,K(y,z)) * u. [para(7396(a,1),4906(a,1,1))]. 7422 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(7396(a,1),4879(a,1,1))]. 7423 K(x,K(y,z)) \ (x * u) = T(x,K(y,z)) * u. [para(7396(a,1),4882(a,1,1))]. 7424 (x / y) * K(y,K(z,u)) = x / T(y,K(z,u)). [para(7396(a,1),6823(a,1,2))]. 7425 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(83(a,1),7356(a,1,2,2))]. 7426 K(x,K(y,y * z)) = K(x,K(y,z)). [para(5131(a,1),7356(a,1,2))]. 7427 K(x,K(y,z * y)) = K(x,K(z,y)). [para(7356(a,2),7395(a,1))]. 7428 K(x,K(y,z)) * (y * K(z,u)) = T(y * K(z,u),K(x,z)). [para(7125(a,1),7379(a,1,1,2))]. 7429 K(x,K(x * y,z)) = K(x,K(y,z)). [para(7387(a,2),7374(a,1))]. 7430 T(x / y,K(((x / y) \ (1 / y)) \ 1,z)) = T(x,K(z,x / y)) / y. [para(7391(a,1),4853(a,1))]. 7431 T(x,K(y,z)) = T(x,K(z,y)). [para(7391(a,1),7349(a,1))]. 7432 T(T(x,K(y,z)),u) = T(T(x,u),K(z,y)). [para(7431(a,1),38(a,1,1))]. 7433 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(7431(a,1),109(a,1,2))]. 7434 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(7431(a,1),3901(a,1,2))]. 7435 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [para(7431(a,1),4910(a,2))]. 7436 K(x,y) \ T(z,K(x,y)) = z * K(y,x). [para(7431(a,1),4913(a,1,2))]. 7437 T(T(x,K(y,z)),K(y,z)) = x. [para(7431(a,1),5378(a,1,1))]. 7438 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(7431(a,1),5379(a,1,1))]. 7439 T(K(x,y) * z,K(y,x)) = z * K(x,y). [para(7431(a,1),6696(a,1))]. 7440 T(K(x,y) \ z,K(x,y)) = z * K(y,x). [para(7431(a,1),6770(a,1))]. 7441 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [para(7431(a,1),6771(a,2))]. 7442 T(x * K(y,z),K(y,z)) = K(y,z) * x. [para(7431(a,1),6772(a,1))]. 7443 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(7431(a,1),6846(a,1))]. 7444 T(T(T(x,K(y,z)),u),K(y,z)) = T(x,u). [para(7437(a,1),38(a,1,1)),flip(a)]. 7445 K(x,y) * z != u * K(x,y) | T(z,K(x,y)) = u. [para(7437(a,1),151(a,1,2)),flip(b)]. 7446 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [para(549(a,2),7437(a,1,1)),flip(a)]. 7447 (x * K(y,z)) / x = T(K(y,z),x). [para(7437(a,1),3948(a,1,2))]. 7448 T(x,K(y,z)) * K(y,z) = K(z,y) \ x. [para(7437(a,1),4913(a,1,2)),flip(a)]. 7449 T(x,K(y,x \ z)) = K(z,K(x,y)) * x. [para(7034(a,1),7397(a,1,1)),flip(a)]. 7450 (x * y) / (K(x,K(z,u)) * y) = T(x,K(z,u)). [para(7411(a,1),5225(a,2))]. 7451 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(14(a,1),7426(a,1,2,2)),flip(a)]. 7452 K(x,K(y / z,z)) = K(x,K(y / z,y)). [para(16(a,1),7426(a,1,2,2)),flip(a)]. 7453 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(5057(a,1),7426(a,1,2)),flip(a)]. 7454 K(x * y,x) * K(z,K(x,y)) = K(x * y,T(x,z)). [para(7426(a,1),6549(a,1,2))]. 7455 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(7426(a,1),6550(a,1,1))]. 7456 K(x,K(x \ y,z)) = K(x,K(y,z)). [para(14(a,1),7429(a,1,2,1)),flip(a)]. 7457 K(x,K(y * z,y)) = K(y,K(z,x)). [para(7429(a,1),7346(a,1)),flip(a)]. 7458 K(x,K(y,x * z)) = K(x,K(z,y)). [para(7429(a,1),7395(a,1)),flip(a)]. 7459 (x * y) * K(x,K(y,z)) = T(x * y,K(x,z)). [para(7429(a,1),7376(a,1,2))]. 7460 T(K(x,y),z) * z = z * K(x,y). [para(7447(a,1),16(a,1,1))]. 7461 T(T(K(x,y),z),z) = K(x,y). [para(7447(a,1),144(a,1,1))]. 7462 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(7447(a,1),439(a,1,1,1))]. 7463 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(7447(a,1),453(a,1,1,1))]. 7464 (x * K(y,z)) / x = K(y,T(z,x)). [para(7447(a,2),6535(a,2)),flip(a)]. 7465 T(K(1 / T(x,y),z),y) = K(1 / x,z). [para(5243(a,2),7461(a,1,1))]. 7466 T(K(x,1 / T(y,z)),z) = K(x,1 / y). [para(5251(a,2),7461(a,1,1))]. 7467 T(K(x \ y,z),y) = K(y / x,z). [para(5932(a,1),7461(a,1,1))]. 7468 T(K(x,T(y,z)),z) = K(x,y). [para(6535(a,2),7461(a,1,1))]. 7469 K(x,T(y,z)) * z = z * K(x,y). [para(7468(a,1),109(a,1,2)),flip(a)]. 7470 T(K(x,y \ z),y) = K(x,z / y). [para(111(a,1),7468(a,1,1,2))]. 7471 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(7468(a,1),151(a,1,2)),flip(b)]. 7472 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(7468(a,1),162(a,1,2,1)),flip(a)]. 7473 (K(x,T(y,z)) * u) * (u \ z) = z * R(K(x,y),u,u \ z). [para(7468(a,1),516(a,1,2,1)),flip(a)]. 7474 K(T(x,y) \ 1,T(z,y)) = K(x \ 1,z). [para(7468(a,1),5239(a,2))]. 7476 K(x \ y,T(z,y)) = K(y / x,z). [para(7468(a,1),5932(a,1)),flip(a)]. 7477 K(x,T(T(y,z),z)) = K(x,y). [para(7468(a,1),6535(a,2))]. 7478 K(T(x,y),T(z,y)) = K(x,z). [para(7468(a,1),6565(a,2))]. 7479 T(K(x \ y,z),x) = K(y / x,z). [para(6579(a,1),7468(a,1,1))]. 7480 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(7468(a,1),6571(a,1,1)),flip(a)]. 7481 K(x,T(y \ z,y)) = K(x,z / y). [para(111(a,1),7477(a,1,2,1))]. 7482 K(x,(y * z) / y) = K(x,T(z,y)). [para(144(a,1),7477(a,1,2,1)),flip(a)]. 7483 K(x,y * K(z,y)) = K(x,T(y,z)). [para(4573(a,1),7477(a,1,2,1)),flip(a)]. 7484 K(x \ y,T(z,x)) = K(y / x,z). [para(7477(a,1),6579(a,1)),flip(a)]. 7485 K((x * y) / x,z) = K(y,T(z,x)). [para(7477(a,1),6580(a,1))]. 7486 T(T(x,y),T(z,y)) = T(x,y) * K(x,z). [para(7477(a,1),6591(a,1,2)),flip(a)]. 7487 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [para(7477(a,1),6973(a,1))]. 7488 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(7477(a,1),6577(a,2))]. 7489 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [para(7477(a,1),6578(a,2))]. 7490 K((x \ y) \ 1,T(z,x)) = K((y / x) \ 1,z). [para(7477(a,1),6729(a,1)),flip(a)]. 7491 K(T(x,y),T(T(z,y),u)) = K(x,T(z,u)). [para(38(a,1),7478(a,1,2))]. 7492 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(40(a,2),7478(a,1,2))]. 7493 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(42(a,2),7478(a,1,2))]. 7494 K(T(x,y),y \ z) = K(x,z / y). [para(111(a,1),7478(a,1,2))]. 7495 K(x,(y * z) / y) = K(T(x,y),z). [para(144(a,1),7478(a,1,2)),flip(a)]. 7496 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(549(a,2),7478(a,1,2)),flip(a)]. 7497 K(T(x,x * y) * y,z) = K(x * y,T(z,T(x,y))). [para(685(a,1),7478(a,1,1)),flip(a)]. 7498 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(1024(a,1),7478(a,1,2))]. 7499 K(T(x,y \ 1),(1 / y) \ z) = K(x,z / (1 / y)). [para(2689(a,1),7478(a,1,2))]. 7500 K(T(x,x * y) * y,z) = K(x * y,T(z,x)). [para(3571(a,1),7478(a,1,1)),flip(a)]. 7501 L(x,T(y,z),K(y,u)) = x. [para(7478(a,1),3780(a,1,3))]. 7502 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(3830(a,1),7478(a,1,2))]. 7503 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(3831(a,1),7478(a,1,1)),flip(a)]. 7504 K(x * K(y,x),z) = K(x,T(z,y)). [para(4573(a,1),7478(a,1,1)),flip(a)]. 7505 K(x,y * K(z,y)) = K(T(x,z),y). [para(4573(a,1),7478(a,1,2)),flip(a)]. 7506 x * K(T(x,y),T(z,y)) = T(x,z). [para(7478(a,2),4597(a,2,2)),flip(a)]. 7507 K(T(x * K(y,x),z),u) = K(T(x,z),T(u,y)). [para(4637(a,1),7478(a,1,1)),flip(a)]. 7508 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(7478(a,1),4978(a,1,1)),flip(a)]. 7509 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(7478(a,1),5106(a,1,1)),flip(a)]. 7510 R(x,T(y,z),K(y,u)) = x. [para(7478(a,1),5814(a,1,3))]. 7511 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(7478(a,1),6365(a,1,1))]. 7512 K(x / (x / y),z) = K(y,T(z,x)). [para(7478(a,1),6462(a,1))]. 7513 K(T(x,y),z \ y) = K(x,y / z). [para(7478(a,1),6533(a,1)),flip(a)]. 7514 K(T(x,y),z) * y = y * K(x,z). [para(7478(a,1),6537(a,1,2)),flip(a)]. 7515 K(x,T(y,z)) \ z = z * K(y,x). [para(7478(a,1),6618(a,1,2)),flip(a)]. 7517 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(7303(a,1),7478(a,1,1))]. 7518 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(7478(a,1),7317(a,1,1,1,2))]. 7519 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(7478(a,1),7323(a,1,1,2,1))]. 7520 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [para(7501(a,1),4804(a,1)),flip(a)]. 7521 R(x,T(y,z),T(K(y,u),w)) = x. [para(5246(a,1),7510(a,1,3))]. 7522 K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). [para(4765(a,1),7456(a,2,2))]. 7523 K(x,K(y,x \ z)) = K(x,K(z,y)). [para(7456(a,1),7395(a,1)),flip(a)]. 7524 K(x,K(y,x * z)) = K(x,K(y,z)). [para(7458(a,2),7395(a,1))]. 7525 T(K(x,y \ 1),z) = K(x,y \ K(y,z)). [hyper(18,a,5615,a,b,7460,a)]. 7526 (K(x,y) \ z) * K(x,y) = K(x,y) * (z / K(x,y)). [para(7460(a,1),3564(a,1))]. 7527 K(x \ y,z) * y = y * K(y / x,z). [para(5932(a,1),7460(a,1,1))]. 7528 K(x,y \ z) * z = z * K(x,z / y). [para(5981(a,1),7460(a,1,1))]. 7529 (((x \ y) \ 1) * K(z,y \ x)) / ((x \ y) \ 1) = K(z,y \ x). [para(487(a,1),7464(a,2,2))]. 7530 (x * L(K(y,z),u,w)) / x = L(K(y,T(z,x)),u,w). [para(7464(a,1),578(a,1,1)),flip(a)]. 7531 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7464(a,1),635(a,1,1,1))]. 7532 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(7464(a,1),603(a,1,1)),flip(a)]. 7533 K(x \ y,z) \ (y * K(y / x,z)) = y. [para(7467(a,1),146(a,1,2,2))]. 7534 K(((x \ y) \ y) \ y,z) = K(y / x,z). [para(7467(a,1),5935(a,2))]. 7535 K(x / y,x / z) = K(y \ x,z \ x). [para(7467(a,1),5981(a,1))]. 7536 x / K(x / y,z) = K(y \ x,z) \ x. [para(7467(a,1),6697(a,1,2))]. 7537 K(x,T(y \ z,z)) = K(x,z / y). [hyper(18,a,5980,a,b,7469,a)]. 7538 K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). [hyper(18,a,5387,a,b,7469,a)]. 7539 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(18,a,5483,a(flip),b,7469,a)]. 7540 (x * K(y,z)) * a(K(y,T(z,x)),u,u \ x) = (K(y,T(z,x)) * u) * (u \ x). [para(7469(a,1),490(a,1,1))]. 7541 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(7469(a,1),4575(a,1,2)),flip(a)]. 7542 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [para(7469(a,1),4865(a,1,1))]. 7543 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(7469(a,1),4930(a,1,1,3)),flip(a)]. 7544 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(7469(a,1),7323(a,1,1,2))]. 7545 K(x / y,z / x) = K(y \ x,x \ z). [para(7470(a,1),5932(a,1))]. 7546 K(x,y / z) * T(x,z) = T(T(x,z),z \ y). [para(7470(a,1),6571(a,1,1))]. 7547 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [para(7476(a,1),6510(a,1)),flip(a)]. 7548 K(x \ (y \ z),T(y,z)) = K((y \ z) / x,y). [para(7476(a,1),6511(a,1)),flip(a)]. 7550 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(7058(a,1),7476(a,1,2))]. 7551 T(K(x \ y,z),x) = K((x / y) \ 1,z). [para(7479(a,2),5297(a,2)),flip(a)]. 7552 K(x / ((y * z) \ y),z) = K(((y * z) \ y) \ x,z). [para(7479(a,1),5955(a,1))]. 7553 K(x / y,y / z) = K(y \ x,z \ y). [para(7479(a,1),5981(a,1))]. 7554 K(T(x \ y,x),z) = K(y / x,z). [para(7479(a,1),6565(a,2))]. 7555 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [para(7479(a,1),6536(a,2))]. 7556 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(24(a,2),7481(a,1,2,1)),flip(a)]. 7557 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(28(a,2),7481(a,1,2,1)),flip(a)]. 7558 K(x,T(L(y \ z,y,u),u * y)) = K(x,(u * z) / (u * y)). [para(97(a,2),7481(a,1,2,1))]. 7559 K(x,T(y * z,u) / y) = K(x,y \ T(z * y,u)). [para(4367(a,1),7481(a,1,2)),flip(a)]. 7560 K(x,L((y * z) / y,u,w)) = K(x,T(L(z,u,w),y)). [para(578(a,2),7482(a,1,2))]. 7561 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(586(a,1),7482(a,1,2)),flip(a)]. 7562 K(x,L(y / (z \ u),z \ u,z)) = K(x,T(u \ (z * y),z \ u)). [para(590(a,1),7482(a,1,2))]. 7563 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(24(a,2),7484(a,1,1)),flip(a)]. 7564 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(7484(a,1),5793(a,1,2)),flip(a)]. 7565 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [para(7484(a,1),5861(a,2))]. 7566 K((x * y) \ z,T(x,y)) = K(z / (x * y),x). [para(7484(a,1),6510(a,1)),flip(a)]. 7567 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(7073(a,1),7484(a,1,2))]. 7568 K(R((x * y) / x,z,u),w) = K(R(y,z,u),T(w,x)). [para(581(a,2),7485(a,1,1))]. 7569 K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)). [para(587(a,2),7485(a,1,1))]. 7570 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3566(a,1),7485(a,1,1))]. 7571 ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). [para(7485(a,1),4597(a,2,2)),flip(a)]. 7572 K((x \ 1) \ K(y,x),z) = K(x,T(z,y)). [para(7485(a,1),5388(a,2))]. 7573 L(K(x,T(y \ z,u)),y \ z,y) = K((u * x) / u,(z \ y) \ 1). [para(7485(a,1),5424(a,1,1))]. 7574 L(x * K((y * z) / y,x),u,w) / L(x,u,w) = K(z,T(L(x,u,w),y)). [para(7485(a,1),5263(a,2))]. 7575 K(((x \ y) * z) / (x \ y),T(x,y)) = K(z,(x \ T(y,x)) \ y). [para(6951(a,2),7485(a,2,2))]. 7577 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(3867(a,1),7494(a,1,1))]. 7578 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(7070(a,1),7494(a,1,1))]. 7579 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(581(a,2),7495(a,1,2))]. 7580 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [para(7495(a,1),4778(a,2))]. 7581 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(7164(a,1),7504(a,1,1,2)),flip(a)]. 7582 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(7505(a,1),4935(a,1,2,2)),flip(a)]. 7583 x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(7505(a,1),5197(a,1,2,1))]. 7584 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(4653(a,1),7506(a,1,2,2)),flip(a)]. 7585 K(x * T(y,z),T(y,u)) = K(x * y,T(y,u)). [para(7506(a,1),7183(a,1,1,2))]. 7586 K(T(x / (x / y),z),u) = K(T(y,z),T(u,x)). [para(6944(a,1),7512(a,1,1))]. 7587 K(x,y / (y / z)) = K(T(x,y),z). [para(61(a,1),7513(a,1,2)),flip(a)]. 7589 x / (x * K(y,z)) = K(z,T(y,x)). [para(7514(a,1),4912(a,1,2))]. 7590 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(6880(a,1),7514(a,1,1))]. 7591 K(x,T(y,z)) \ (z / x) = (z / x) * K(y,x). [para(6969(a,1),7515(a,1,1))]. 7592 K(x,(y \ z) \ 1) \ y = y * K((z / y) \ 1,x). [para(6613(a,1),7515(a,1,1))]. 7593 K(x,y / (y / z)) = K(x,T(z,y)). [para(61(a,1),7537(a,1,2,1)),flip(a)]. 7594 K(x,T(y \ (x * z),z)) = K(x,(x * z) / y). [para(7537(a,1),6736(a,1)),flip(a)]. 7595 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [para(7537(a,1),6970(a,1)),flip(a)]. 7596 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [para(7537(a,1),6469(a,1)),flip(a)]. 7597 K(x,T(y,z)) / T(z,(z * K(y,x)) \ 1) = z \ (z / (z * K(y,x))). [para(7589(a,1),4888(a,1,1))]. 7598 x / (x / K(y,z)) = K(y,T(z,x)). [para(6792(a,2),7589(a,1,2))]. 7599 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(7593(a,1),6298(a,1,2))]. 7601 K(x,T(y,z)) * ((z / K(x,y)) * u) = K(x,y) * ((K(x,y) \ z) * u). [para(7598(a,1),5361(a,1,1))]. 7602 K(x,K(y,z)) \ K(y,x) = K(y,T(x,z)). [para(7348(a,2),6535(a,2)),flip(a)]. 7603 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(6735(a,1),7348(a,1,1,2))]. 7604 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(7093(a,1),7353(a,1,2,2)),flip(a)]. 7605 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(6587(a,1),7354(a,1,1,2)),flip(a)]. 7606 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7355(a,1),19(a,1))]. 7607 K(x,y) * K(x,K(y,z \ (y \ u))) = K(x,T(y,(y * z) \ u)). [para(6461(a,1),7355(a,1,2,2))]. 7608 K(x * y,y) * K(x,K(y,z)) = K(x * y,T(y,z)). [para(7344(a,1),7355(a,1,2))]. 7609 K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). [para(7366(a,2),7351(a,1))]. 7610 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [para(7367(a,2),7351(a,1))]. 7611 K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). [para(7367(a,2),7373(a,1))]. 7612 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [para(7370(a,1),6535(a,1)),flip(a)]. 7613 T(x,K(y,y * z)) = T(x,K(y,z)). [para(7372(a,2),7350(a,1))]. 7614 T(x,K(y,y * z)) = T(x,K(z,y)). [para(7372(a,2),7392(a,1))]. 7615 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(14(a,1),7613(a,1,2,2)),flip(a)]. 7616 T(x,K(y,z / y)) = T(x,K(y,z)). [para(5132(a,1),7613(a,1,2)),flip(a)]. 7617 T(x,K(y,z * y)) = T(x,K(z,y)). [para(5131(a,2),7614(a,1,2))]. 7618 T(x / y,K(y,x)) = x / y. [para(7615(a,1),6643(a,1))]. 7619 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(7618(a,2),6487(a,1,1))]. 7620 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(6573(a,1),7375(a,1,2,2))]. 7621 K(x,y) * K(y,K(z,T(x,u))) = K(x,T(y,T(z,u))). [para(6573(a,1),7386(a,1,2,2))]. 7622 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [para(7458(a,1),7386(a,1,2))]. 7623 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [para(7388(a,2),7374(a,1))]. 7624 K(x,K(T(y,z),u)) = K(y,K(u,T(x,z))). [para(6573(a,2),7403(a,2,2)),flip(a)]. 7625 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(6969(a,1),7403(a,2,2))]. 7626 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [para(7404(a,1),1720(a,2))]. 7627 T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). [para(7407(a,1),4575(a,1,2)),flip(a)]. 7628 R(K(x,y),z,u) \ R(T(K(x,y),w),z,u) = K(w,R(K(x,y),z,u)). [para(7413(a,1),5507(a,1,2,1))]. 7629 K(x,K(y,T(1 / L(1 / z,u,w),v5))) = K(x,T(L(K(z,y),u,w),v5)). [para(5448(a,1),7416(a,2,2,1))]. 7630 T(T(x * K(y,z),u),K(y,z)) = T(K(z,y) \ x,u). [para(6791(a,1),7432(a,1,1)),flip(a)]. 7631 K(x,y) * (z / K(x,y)) = T(z,K(x,y)). [para(6792(a,2),7435(a,1,2))]. 7632 T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). [para(7438(a,1),4350(a,1,2,1)),flip(a)]. 7633 T(K(x,y) * z,K(y,x) * (z * K(x,y))) = L(z * K(x,y),K(y,x),z * K(x,y)). [para(7442(a,1),5381(a,1,1))]. 7634 T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z). [para(6497(a,1),7442(a,1,1))]. 7635 T(x,K(y,z)) * K(y,y * z) = K(y * z,y) \ x. [para(7613(a,1),7448(a,1,1))]. 7636 T(x,K(y,x \ z)) = T(x,K(z,y)). [para(7449(a,2),7379(a,1))]. 7637 T(x,K(y,x \ z)) = T(x,K(y,z)). [para(7449(a,2),7397(a,1))]. 7638 T(x,K(y,z / x)) = T(x,K(z,y)). [para(7636(a,1),6623(a,2))]. 7639 T(x,K(y,z / x)) = T(x,K(y,z)). [para(7637(a,1),6623(a,2))]. 7640 T(x,K(y,z * x)) = T(x,K(y,z)). [para(15(a,1),7639(a,1,2,2)),flip(a)]. 7641 T(x,K(y,z * x)) = T(x,K(z,y)). [para(7640(a,2),7431(a,1))]. 7642 T(x,K(y,z)) * K(y,z * x) = K(y,z * x) * x. [para(7640(a,1),7438(a,1,1))]. 7643 T(x,K(y * x,z)) = T(x,K(y,z)). [para(7641(a,1),7431(a,1)),flip(a)]. 7644 K(x,K(y \ z,y)) = K(x,K(z / y,z)). [para(4750(a,1),7452(a,1,2))]. 7645 K(1 / T(T(x,y),y),z) = K(1 / x,z). [para(7465(a,1),5243(a,2))]. 7646 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [para(7466(a,1),5251(a,2))]. 7648 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,y \ x)). [para(3830(a,1),7474(a,1,1,1)),flip(a)]. 7649 K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). [para(7480(a,1),4559(a,2,2))]. 7650 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [para(7480(a,2),5143(a,1))]. 7651 T(T(x,T(y,z)),T(T(z,y),u)) = T(x,T(y,z)) * K(x,T(z,u)). [para(3846(a,1),7486(a,1,2))]. 7652 T(T(x,T(T(y,z),u)),T(z,T(y,u))) = T(x,T(T(y,z),u)) * K(x,z). [para(3847(a,1),7486(a,1,2))]. 7653 K(T(x,y \ z),y) = K(T(x,z),y). [para(7502(a,2),7587(a,1))]. 7654 K(x,K(y,z \ K(z,x))) = K(x,K(y,z \ 1)). [para(7525(a,1),4765(a,1,2))]. 7655 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(7527(a,2),6834(a,2,2,1)),flip(a)]. 7656 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [para(7535(a,1),6411(a,1)),flip(a)]. 7657 K(x,T(y \ 1,z)) = K(x,z / (z * y)). [para(13(a,1),7539(a,1,2,1,1))]. 7658 K(x,T(1 / (y \ z),y)) = K(x,y / z). [para(7539(a,1),3170(a,2))]. 7659 K(x,((y \ z) * y) \ y) = K(x,y / z). [para(7539(a,1),7290(a,1)),flip(a)]. 7660 (x * (K(y,z) * K(x,u))) * K(z,y) = T(x,T(u,K(y,z))). [hyper(6806,a,7541,a)]. 7661 T(x,T(y,z)) * z = x * ((z / x) * T(x,y)). [para(5778(a,2),7541(a,2,2))]. 7662 T(x,T(y,z / T(x,y))) * (z / T(x,y)) = x * (z / x). [para(5791(a,1),7541(a,2,2))]. 7663 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(7541(a,2),6365(a,1,2))]. 7664 T(x,T(y,z)) * z = (x * z) * K(x,y). [para(7541(a,2),6444(a,2)),flip(a)]. 7665 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(7289(a,1),7542(a,1,1,2))]. 7666 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(6804(a,1),7544(a,1,1,2)),flip(a)]. 7668 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(32(a,2),7551(a,1,1,1)),flip(a)]. 7671 K((x \ y) \ 1,T(z,y)) = K((y / x) \ 1,z). [para(7565(a,2),5297(a,2)),flip(a)]. 7672 x \ T(x * K(y,x),z) = K(y,x) * K(x,T(z,y)). [para(7572(a,1),5864(a,2,2))]. 7673 K(x,K(y,z)) \ K(x,y) = K(x,T(y,z)). [para(7374(a,1),7602(a,1,1))]. 7674 K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). [para(14(a,1),7609(a,1,2,1)),flip(a)]. 7675 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(4907(a,1),7610(a,1,1)),flip(a)]. 7676 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(7610(a,1),5814(a,1,3))]. 7677 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [para(7676(a,1),6317(a,1)),flip(a)]. 7678 K(x,K(y,T(x,z) * u)) = K(x,K(y,x * u)). [para(4627(a,1),7623(a,1,2,2))]. 7679 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5339(a,1),7623(a,1,2,2)),flip(a)]. 7680 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [para(7624(a,1),7523(a,1))]. 7681 K(x,T(y,z)) \ K(x,y) = K(x,K(y,z)). [para(7626(a,1),6597(a,2))]. 7682 L(x \ (y / K(z,u)),x,K(z,u)) = (K(z,u) * x) \ T(y,K(z,u)). [para(7631(a,1),97(a,2,2))]. 7683 K(x,y) \ (z / K(y,x)) = T(z,K(y,x)). [para(7631(a,1),4906(a,2))]. 7684 K(x,K(y / z,y)) = K(x,K(z,z \ y)). [para(7644(a,1),7395(a,1))]. 7685 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(7645(a,1),4551(a,2,2))]. 7686 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(166(a,1),7646(a,1,2,2,1))]. 7687 T(x,T(T(y,z),z)) = T(x,y). [hyper(6746,a,7650,a)]. 7688 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(7650(a,2),158(a,1,1,1))]. 7689 T(T(x,y),y) * T(z,x) = z * T(T(x,y),y). [para(7687(a,1),109(a,1,2))]. 7690 T(x,T(y \ z,y)) = T(x,z / y). [para(111(a,1),7687(a,1,2,1))]. 7691 T(x,(y * z) / y) = T(x,T(z,y)). [para(144(a,1),7687(a,1,2,1)),flip(a)]. 7692 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(163(a,1),7687(a,1,2,1))]. 7693 T(x,y * K(z,y)) = T(x,T(y,z)). [para(4573(a,1),7687(a,1,2,1)),flip(a)]. 7694 T(x,y) \ T(T(x,z),T(y,z)) = K(x,z). [para(7687(a,1),6904(a,1,1))]. 7695 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(7687(a,1),7210(a,2,2))]. 7696 T(x,T(y,z)) * T(z,x) = z * T(x,y). [para(7687(a,1),7214(a,2,2))]. 7697 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(7687(a,1),7294(a,1,1,2))]. 7698 T(x,((y \ z) \ z) \ z) = T(x,z / y). [para(3858(a,1),7690(a,1,2))]. 7699 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(581(a,2),7691(a,1,2))]. 7700 T(1 / x,(y * x) / y) = x \ 1. [para(7691(a,2),2850(a,1))]. 7701 T(x / y,(x * y) / x) = y \ x. [para(7691(a,2),3541(a,1))]. 7702 T(x,K(y,z) \ y) = T(x,T(y,z)). [para(4709(a,2),7691(a,1,2))]. 7703 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(5606(a,1),7691(a,1,2,1)),flip(a)]. 7704 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(2020(a,1),7693(a,1,2))]. 7705 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [para(7693(a,1),4259(a,2))]. 7706 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(7701(a,1),7478(a,1,1))]. 7707 (K(x,y) \ x) * T(z,T(x,y)) = z * (K(x,y) \ x). [para(7702(a,1),109(a,1,2))]. 7708 K(x,T(1 / y,z)) = K(x,z / (z * y)). [para(7657(a,1),3170(a,2))]. 7709 K(x,y / (y * z)) = K(x,(z * y) \ y). [para(7657(a,1),7290(a,1))]. 7710 K(x,y \ T(z,z \ y)) = K(x,z / y). [para(6049(a,1),7659(a,1,2))]. 7711 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [para(7371(a,1),7664(a,1,1)),flip(a)]. 7712 K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). [para(7674(a,1),7374(a,1)),flip(a)]. 7713 K(x,K(y / z,y)) = K(x,K(z,y)). [para(7684(a,2),7451(a,1))]. 7714 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(59(a,1),7713(a,1,2,1)),flip(a)]. 7715 K(x,K(y,z \ y)) = K(x,K(z,y)). [para(7714(a,1),7395(a,1)),flip(a)]. 7716 K(x,K(y,z \ 1)) = K(x,K(z,y)). [para(7715(a,1),7453(a,2))]. 7717 K(x,K(1 / y,z)) = K(x,K(z,y)). [para(61(a,1),7716(a,1,2,2)),flip(a)]. 7718 K(x,K(y,z / (u * z))) = K(x,K(u,y)). [para(5110(a,2),7716(a,1,2))]. 7719 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(5962(a,1),7716(a,1,2)),flip(a)]. 7720 K(x,K(y,z \ 1)) = K(z,K(x,y)). [para(7716(a,2),7374(a,1))]. 7721 K(x \ 1,K(y,z)) = K(y,K(x,z)). [para(7716(a,1),7378(a,1)),flip(a)]. 7722 K(x,K(y \ 1,z)) = K(x,K(y,z)). [para(7716(a,1),7395(a,1)),flip(a)]. 7723 K(x,K(y,z \ 1)) = K(x,K(y,z)). [para(7716(a,2),7395(a,1))]. 7724 K(1 / x,K(y,z)) = K(y,K(z,x)). [para(7717(a,1),7374(a,1)),flip(a)]. 7725 K(x,K(y,1 / z)) = K(x,K(y,z)). [para(7717(a,1),7395(a,1)),flip(a)]. 7726 K(x \ 1,K(y,z)) = K(y,K(z,x)). [para(3165(a,1),7720(a,1,2)),flip(a)]. 7727 K(x,K(y,1 / z)) = K(z,K(x,y)). [para(3166(a,2),7720(a,1,2))]. 7728 K(x \ 1,K(y,z)) = K(x,K(y,z)). [para(7720(a,1),7378(a,1)),flip(a)]. 7729 K(x,K(y \ 1,z)) = K(y,K(x,z)). [para(7720(a,1),7395(a,1)),flip(a)]. 7730 K(1 / x,K(y,z)) = K(y,K(x,z)). [para(7721(a,1),2888(a,2))]. 7731 (1 / x) * K(y,K(x,z)) = T(1 / x,K(y,z)). [para(7721(a,1),4667(a,1,2))]. 7732 (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. [para(7722(a,1),5349(a,1,2))]. 7733 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(5435(a,2),7722(a,1,2))]. 7734 K(x,K(y \ 1,z)) = K(z,K(x,y)). [para(7722(a,2),7378(a,1))]. 7735 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5109(a,1),7723(a,1,2))]. 7736 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(5110(a,2),7723(a,1,2))]. 7737 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [para(5962(a,1),7723(a,1,2))]. 7738 T(x,K(y,z \ 1)) = K(y,K(x,z)) * x. [para(7723(a,1),7379(a,1,1)),flip(a)]. 7739 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(7723(a,1),7353(a,1,2))]. 7740 T(1 / x,K(y,z)) = K(y,K(z,x)) / x. [para(7724(a,1),4756(a,1,1)),flip(a)]. 7741 (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). [para(7724(a,1),5394(a,1)),flip(a)]. 7742 K(1 / x,K(y,z)) = K(x,K(y,z)). [para(7724(a,2),7378(a,1))]. 7743 K(x,K(y,K(z,u) / w)) = K(x,K(y,w * K(u,z))). [para(6802(a,1),7725(a,1,2)),flip(a)]. 7744 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(7726(a,1),5440(a,2))]. 7745 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(5476(a,1),7734(a,1,2)),flip(a)]. 7746 T(K(x,y),z) * (z * x) = z * T(x,y). [para(6535(a,1),7695(a,1,1))]. 7747 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(6530(a,1),7695(a,1,1))]. 7748 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(78,a,7696,a)]. 7749 T(x,T(y \ z,z)) = T(x,z / y). [para(7698(a,1),6526(a,1)),flip(a)]. 7750 K(x,y \ T(z,z \ y)) = K(x,T(y \ z,z)). [para(7710(a,2),7537(a,2)),flip(a)]. 7751 K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). [para(6535(a,1),7712(a,1,2))]. 7752 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(6171(a,1),7719(a,1,2)),flip(a)]. 7753 K(x,K(y,z \ x)) = K(x,K(z,y)). [para(7719(a,1),7456(a,1))]. 7754 K(x,K(y,x / z)) = K(x,K(z,y)). [para(7753(a,1),5995(a,2))]. 7755 K(x,K(y,z \ x)) = K(x,K(y,z)). [para(7753(a,2),7395(a,1))]. 7756 K(x / y,K(x,z)) = K(x,K(y,z)). [para(7754(a,1),7378(a,1)),flip(a)]. 7757 K(x,K(x / y,z)) = K(x,K(y,z)). [para(7754(a,1),7395(a,1)),flip(a)]. 7758 K(x,K(y,x / z)) = K(x,K(y,z)). [para(7754(a,2),7395(a,1))]. 7759 K(x,K(y,z * x)) = K(x,K(y,z)). [para(7736(a,1),7758(a,1)),flip(a)]. 7760 T(x,K(y,z \ 1)) = T(x,K(y,z)). [para(7738(a,2),7379(a,1))]. 7761 T(x,K(y,z \ 1)) = T(x,K(z,y)). [para(7738(a,2),7397(a,1))]. 7762 T(x,K(y,1 / z)) = T(x,K(y,z)). [para(61(a,1),7760(a,1,2,2)),flip(a)]. 7763 K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). [para(7760(a,1),109(a,1,2))]. 7764 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(5962(a,1),7760(a,1,2))]. 7765 T(x,K(y \ 1,z)) = T(x,K(z,y)). [para(7760(a,1),7431(a,1)),flip(a)]. 7766 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(5962(a,1),7761(a,1,2)),flip(a)]. 7767 T(x,K(y \ 1,z)) = T(x,K(y,z)). [para(7761(a,1),7431(a,1)),flip(a)]. 7768 T(x,K(y,x \ (z \ 1))) = T(x,K(z,y)). [para(7761(a,1),7637(a,2))]. 7769 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(7237(a,1),7746(a,1,1))]. 7770 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1645(a,1),7748(a,1,1,2))]. 7771 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7073(a,1),7748(a,1,1,2)),flip(a)]. 7772 T(x,K(y,z \ x)) = T(x,K(z,y)). [para(7764(a,1),7636(a,1))]. 7773 T(x,K(y,z \ x)) = T(x,K(y,z)). [para(7764(a,1),7637(a,1))]. 7774 (K(x \ y,z) * y) \ T(y,K(x,z)) = K(z,x \ y). [para(7772(a,1),6811(a,1,2))]. 7775 T(x,K(y,x / z)) = T(x,K(y,z)). [para(61(a,1),7773(a,1,2,2)),flip(a)]. 7776 T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. [para(7773(a,1),7438(a,1,1))]. 7777 K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. [para(7775(a,1),5394(a,2,1,1))]. 7778 T(x,K(y \ z,z)) = T(x,K(z,y)). [para(7766(a,2),7615(a,1))]. 7779 T(x,K(y,y / z)) = T(x,K(z,y)). [para(61(a,1),7778(a,1,2,1)),flip(a)]. 7780 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(3014,a,7347,a),flip(a)]. 7781 K(x,K(y,R(x,z,u))) = 1. [para(108(a,1),7780(a,1,2,2,1))]. 7782 T(x,K(y,R(x,z,u))) = x. [hyper(37,a,7781,a)]. 7783 T(1 / R(x,y,z),K(x,u)) = 1 / R(x,y,z). [para(7781(a,1),7740(a,2,1))]. 7784 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(7782(a,1),38(a,1,1)),flip(a)]. 7785 K(x,K(y,z)) * ((K(x,u) * z) \ w) = T(K(x,u) * z,K(x,y)) \ w. [para(7623(a,1),7360(a,1,1))]. 7787 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(7384(a,1),7073(a,1,2))]. 7788 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(4765(a,1),7398(a,1,1,2))]. 7789 (x * K(y,K(z,u \ x))) / u = T(x / u,K(y,z)). [para(7401(a,1),5285(a,1,1,2))]. 7790 x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). [para(7401(a,1),5473(a,1,2,2))]. 7791 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(6792(a,2),7409(a,1,2))]. 7792 K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). [para(7522(a,1),7409(a,1,1))]. 7793 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). [para(7419(a,1),7355(a,1,2))]. 7794 T(x * T(y,z),K(y,z)) = T(y,z) * T(x,y). [para(7443(a,2),4857(a,1))]. 7795 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(7443(a,1),6573(a,1,1)),flip(a)]. 7796 K((K(x,K(y,z)) * u) / (x * u),w) = K(1 / T(x,K(y,z)),w). [para(7450(a,1),5305(a,1,1,2)),flip(a)]. 7797 (x * K((K(y,K(z,u)) * w) / (y * w),x)) * (1 / T(y,K(z,u))) = (1 / ((y * w) / (K(y,K(z,u)) * w))) * x. [para(7450(a,1),5312(a,1,2,2))]. 7798 T(x * y,K(x,z)) = x * T(y,K(x,z)). [para(7459(a,1),7384(a,1))]. 7799 T(x,K(y,z)) / y = T(x / y,K(y,z)). [hyper(4353,a,7798,a)]. 7800 T(x * y,K(y,z)) / y = T(x,K(y,z)). [para(15(a,1),7799(a,2,1))]. 7801 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [para(7800(a,1),16(a,1,1)),flip(a)]. 7802 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [para(7800(a,1),4365(a,1)),flip(a)]. 7803 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [para(7800(a,1),6028(a,1)),flip(a)]. 7804 T(x * y,K(y,z)) \ (T(x,K(y,z)) * u) = L(y \ u,y,T(x,K(y,z))). [para(7801(a,2),97(a,2,1)),flip(a)]. 7805 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(398(a,1),7802(a,2,1))]. 7806 x \ T(y,K(x,z)) = T(x \ y,K(z,x)). [para(7802(a,2),7431(a,1))]. 7807 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(14(a,1),7803(a,1,1,1))]. 7808 T(T(x,y),K(y,z)) = T(x,T(y,z)). [para(145(a,1),7803(a,1,1)),flip(a)]. 7809 T(T(x,K(y,z)),y) = T(x,T(y,z)). [para(7803(a,1),180(a,1,1))]. 7810 T(x * K(y,x),T(y,z)) = T(x,K(y,z)). [para(4572(a,1),7803(a,1,1))]. 7811 T(T(x,T(y,z)),K(T(y,z),u)) = T(x,T(T(y,u),z)). [para(38(a,1),7808(a,2,2))]. 7812 T(x,T(y,z)) \ (T(x,y) * (T(T(x,y),K(y,z)) * u)) = T(x,y) * u. [para(7808(a,1),800(a,1,1))]. 7813 L(K(T(x,y),K(y,z)) \ u,K(T(x,y),K(y,z)),T(x,y)) = T(x,T(y,z)) \ (T(x,y) * u). [para(7808(a,1),4661(a,2,1))]. 7814 T(T(x,(y \ z) / z),K((y \ z) / z,u)) = T(x,(K(u,y \ 1) \ (y \ z)) / z). [para(5469(a,2),7808(a,2,2))]. 7815 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [para(7808(a,2),6542(a,2)),flip(a)]. 7816 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(7808(a,1),7371(a,1,2))]. 7817 T(T(x,y),K(z,y)) = T(x,T(y,z)). [para(7808(a,1),7431(a,1)),flip(a)]. 7818 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(7808(a,1),7432(a,2))]. 7819 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(7808(a,1),7438(a,1,1))]. 7820 T(T(x,K(y,z)),T(y,z)) = T(x,y). [para(7808(a,1),7444(a,1))]. 7821 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [para(7808(a,1),7760(a,1)),flip(a)]. 7822 T(1 / x,T(y,x)) = T(1 / x,y). [para(1920(a,1),7809(a,1,1)),flip(a)]. 7823 T(x \ 1,T(y,x)) = T(x \ 1,y). [para(1932(a,1),7809(a,1,1)),flip(a)]. 7824 L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). [para(7809(a,1),4037(a,1,2)),flip(a)]. 7825 T(x * T(y,T(x,z)),x) = T(y * x,T(x,z)). [para(6027(a,1),7809(a,1,1))]. 7826 T(x * T(y,K(x,z)),x) = T(x * y,T(x,z)). [para(7798(a,1),7809(a,1,1))]. 7827 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(111(a,1),7816(a,1,2,2)),flip(a)]. 7828 T(x,K(y,z)) * z = z * T(x,T(z,y)). [para(7817(a,1),160(a,1,2)),flip(a)]. 7829 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(7817(a,1),6568(a,1,1))]. 7830 T((x \ T(y,x)) \ y,K(z,x \ y)) = T(T(x,y),T(x \ y,z)). [para(6951(a,2),7817(a,1,1))]. 7831 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(1717(a,1),7818(a,1,1)),flip(a)]. 7832 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(7614(a,1),7818(a,1,1))]. 7833 T(x,K(y,z)) * T(y,z) = T(y,z) * T(x,y). [para(7820(a,1),109(a,1,2)),flip(a)]. 7834 T(1 / (x \ y),T(x,y)) = T(1 / (x \ y),x). [para(7822(a,1),6507(a,1)),flip(a)]. 7835 T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). [para(7823(a,1),6507(a,1)),flip(a)]. 7836 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [para(7288(a,1),7829(a,1,1)),flip(a)]. 7837 T(K(x,y),z / y) = T(K(x,y),y \ z). [para(111(a,1),7831(a,1,2)),flip(a)]. 7838 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [para(7831(a,1),6507(a,1)),flip(a)]. 7839 x \ T(y,K(z,x)) = T(x \ y,K(z,x)). [para(7431(a,1),7806(a,1,2))]. 7840 T(T(x \ y,K(x,z)),K(T(x,z),u)) = T(y / x,T(T(x,z),u)). [para(7807(a,1),7808(a,1,1))]. 7841 T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). [para(5251(a,2),7815(a,2,2))]. 7842 K(x,y) * T(T(x,z),K(z,u)) = T(K(x,z),u) * T(x,y). [para(7815(a,2),5255(a,1,2))]. 7843 T(x,T(y,z \ 1)) = T(x,T(y,z)). [para(7821(a,1),7808(a,1))]. 7844 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [para(7843(a,2),4597(a,1))]. 7845 T(x,T(y,z \ 1)) != x * u | K(x,T(y,z)) = u. [para(7843(a,2),4657(a,1))]. 7846 T(x,T(y,(z * u) \ z)) = T(x,T(y,u)). [para(5939(a,2),7843(a,1,2))]. 7847 T(x * y,T(z,y)) = T(x * y,T(z,x)). [para(7843(a,1),6776(a,1))]. 7848 T(x,T(y,z / x)) = T(x,T(y,z)). [para(7827(a,2),6773(a,1))]. 7849 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(59(a,1),7848(a,1,2,2)),flip(a)]. 7850 T(x,T((y * x) / z,z)) = T(x,(z / x) \ y). [para(7848(a,1),6518(a,1))]. 7851 T(K(x,y),y \ z) * (z / y) = (z / y) * K(x,y). [para(7837(a,1),7460(a,1,1))]. 7852 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(1719(a,1),7839(a,1,2)),flip(a)]. 7853 T(K(x,y),z \ 1) = K(x,T(y,z)). [hyper(6624,a,7844,a)]. 7854 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(4657,a,7844,a)]. 7856 T(K(x,y),z \ 1) = T(K(x,y),z). [para(7853(a,2),6535(a,1))]. 7857 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(61(a,1),7854(a,1,2,2)),flip(a)]. 7858 K(x,T(y / (z \ 1),z)) = K(x,(z \ 1) \ y). [para(111(a,1),7854(a,1,2)),flip(a)]. 7859 K(x,T(y,z / u)) = K(x,T(y,u / z)). [para(3941(a,1),7854(a,1,2))]. 7860 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(5938(a,1),7854(a,1,2))]. 7861 K(x,T(y,z \ y)) = K(x,T(y,z)). [para(7854(a,1),6529(a,1)),flip(a)]. 7862 K(x,T(y,z \ x)) = K(x,T(y,z)). [para(7854(a,1),6972(a,1)),flip(a)]. 7863 K(x,T(y * z,z)) = K(x,T(y * z,y)). [para(7854(a,1),6534(a,1)),flip(a)]. 7864 K(x * y,T(z,y)) = K(x * y,T(z,x)). [para(7854(a,1),6739(a,1))]. 7865 K(x,T(y,z \ (u \ z))) = K(x,T(y,T(u,z))). [para(7286(a,1),7854(a,1,2))]. 7868 (x / y) * K(x,T(z,y)) = K(x,z) * (x / y). [para(7862(a,1),6977(a,1,2))]. 7869 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [para(7862(a,1),7224(a,2))]. 7870 T((x * y) \ x,T(x * y,y)) = (((x * y) \ x) \ x) \ x. [para(7846(a,1),222(a,1))]. 7871 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(5594(a,1),7847(a,1,2)),flip(a)]. 7872 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(7849(a,1),6963(a,1,2))]. 7873 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(7852(a,1),7818(a,1,1)),flip(a)]. 7874 K(x \ y,T(z,y \ x)) = K(x \ y,z). [para(7860(a,1),4765(a,1))]. 7875 K(x,T(L(x,y,z) * u,u)) = K(x,L(x,y,z) * u). [para(7863(a,2),6583(a,1))]. 7876 K(x,T(y * (z \ x),z)) = K(x,T(y * (z \ x),y)). [para(7863(a,1),7862(a,1)),flip(a)]. 7877 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(444(a,1),7864(a,1,2)),flip(a)]. 7878 K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). [para(444(a,1),7864(a,2,2))]. 7879 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(457(a,1),7864(a,1,2)),flip(a)]. 7880 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1424(a,1),7488(a,1,1))]. 7881 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [para(7488(a,1),6095(a,1)),flip(a)]. 7882 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(3830(a,1),7489(a,1,1,1)),flip(a)]. 7883 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7489(a,1),7154(a,1,1,1))]. 7884 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(108(a,1),7492(a,1,2,1))]. 7885 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1424(a,1),7492(a,1,2))]. 7886 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [para(7492(a,1),6099(a,1)),flip(a)]. 7887 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(42(a,2),7884(a,1,1))]. 7888 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(111(a,1),7884(a,1,1)),flip(a)]. 7889 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(7650(a,1),7508(a,1,1))]. 7890 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(7509(a,1),7478(a,1,1))]. 7891 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(5143(a,1),7520(a,1,1))]. 7892 T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). [para(7538(a,1),4597(a,2,2))]. 7893 T(T(x,y * (x / y)),(y * (x / y)) \ z) = K(x,z / (y * (x / y))) * x. [para(4360(a,1),7546(a,1,2)),flip(a)]. 7894 K(x \ (y \ z),y) * z = z * K((y \ z) / x,y). [para(7548(a,1),6537(a,1,2)),flip(a)]. 7895 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [para(7555(a,1),7874(a,1))]. 7896 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [para(7570(a,1),7484(a,1)),flip(a)]. 7897 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [para(7594(a,2),6375(a,1))]. 7898 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(7596(a,2),6614(a,1,1))]. 7899 K(x,(x * y) / z) = K(x,y / (x \ z)). [para(7596(a,1),7594(a,1)),flip(a)]. 7900 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(14(a,1),7899(a,1,2,1)),flip(a)]. 7901 K(x,y / (x \ z)) = K(x,(z / y) \ x). [para(7899(a,1),6375(a,1))]. 7902 K(x,(x \ y) / (z / x)) = K(x,y / z). [para(7900(a,1),7110(a,2))]. 7903 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(22,a,7901,a)]. 7904 K(x,((x * y) / z) \ x) = K(x,z / y). [para(13(a,1),7901(a,1,2,2)),flip(a)]. 7905 K(x,(y * (z / u)) \ (y * x)) = K(x,u / (x \ z)). [para(7901(a,2),6112(a,2))]. 7906 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(7901(a,1),6358(a,1,1))]. 7907 K(x,(y * x) / z) = K(x,(z / y) \ x). [para(7901(a,1),7174(a,2))]. 7908 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(15(a,1),7902(a,1,2,2))]. 7909 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [para(7907(a,1),7470(a,2))]. 7910 K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). [para(7907(a,1),7595(a,2))]. 7911 K(x,y / ((x \ z) * x)) = K(x,y / z). [para(7908(a,1),7900(a,1))]. 7912 K(x,y / (z * x)) = K(x,y / (x * z)). [para(13(a,1),7911(a,1,2,2,1))]. 7913 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(105(a,2),7912(a,2,2)),flip(a)]. 7914 K(x,K(y,T(z,u / x))) = K(x,K(z,T(y,u))). [para(7625(a,2),7374(a,1))]. 7915 K(x,y \ K(y,z)) \ K(z,K(x,y \ 1)) = K(y \ K(y,z),T(x,z)). [para(7654(a,1),6731(a,1,2))]. 7916 x \ (T(x,T(y,z)) * z) = (z / x) * T(x,y). [hyper(71,a,7661,a(flip))]. 7917 K((x / (x / y)) \ 1,z) = K(y \ 1,T(z,x)). [para(61(a,1),7671(a,1,1,1)),flip(a)]. 7918 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7677(a,2),4920(a,1,1))]. 7919 K(x,K(y,T(x,z) * u)) = K(x,K(y,u)). [para(7678(a,2),7524(a,1))]. 7920 K(x,K(y,z)) * (T(x,u) * z) = T(T(x,u) * z,K(x,y)). [para(7919(a,1),7392(a,1,1))]. 7921 K(x,K(y \ z,T(y,u))) = K(y,K(x,T(z,u))). [para(7680(a,2),7417(a,1))]. 7922 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [para(7685(a,2),4551(a,2)),flip(a)]. 7923 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(111(a,1),7922(a,1,2,2,1))]. 7924 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(5990(a,1),7704(a,1,2,1))]. 7925 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(4572(a,1),7706(a,1,2,2))]. 7926 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [para(7731(a,1),7394(a,1)),flip(a)]. 7927 T(1 / x,K(y,z)) \ 1 = T(x,K(y,z)). [para(7926(a,1),61(a,1,1))]. 7928 T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). [para(6772(a,1),7926(a,1,2)),flip(a)]. 7929 T(x,y \ T(z,z \ y)) = x * K(x,T(y \ z,z)). [para(7750(a,1),4597(a,2,2))]. 7930 T(1 / R(x,y,z),T(x,u)) = T(1 / R(x,y,z),x). [para(7783(a,1),7809(a,1,1)),flip(a)]. 7931 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(5600(a,1),7791(a,1,1,2))]. 7932 T(x,y) * T(z / T(x,y),x) = T(z,K(x,y)). [para(16(a,1),7794(a,1,1)),flip(a)]. 7933 T(T(x,y) * T(z,x),T(x,y)) = T(z * T(x,y),x). [para(7794(a,1),7820(a,1,1))]. 7934 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(7690(a,1),7819(a,1,1))]. 7935 K(T(x * y,T(x,z)) \ ((x * T(y,K(x,z))) * u),w) = K(K(x * T(y,K(x,z)),x) \ u,w). [para(7826(a,1),4966(a,1,1,1))]. 7936 T(x,(y / x) \ z) = T(x,y \ (z * x)). [para(111(a,1),7850(a,1,2)),flip(a)]. 7937 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(7936(a,1),4549(a,1,1,1))]. 7938 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [para(7936(a,1),7066(a,1)),flip(a)]. 7939 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(7938(a,2),7032(a,1,2))]. 7940 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(7938(a,2),7355(a,2,2))]. 7942 (x / (x * y)) * K(x,y) = K(x,y) * (x / (x * y)). [para(3986(a,1),7868(a,1,2))]. 7943 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(111(a,1),7872(a,1,2,2)),flip(a)]. 7944 T(x,y) * T(x \ K(x,z),x) = (x \ K(x,z)) * T(x,y). [para(7873(a,1),109(a,1,2))]. 7945 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(7351(a,1),7889(a,2,1))]. 7946 K(x / y,T(z,x \ y)) = K(x / y,z). [para(7895(a,2),7484(a,1))]. 7947 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(7897(a,2),6537(a,2,1)),flip(a)]. 7948 x \ (T(x,T(T(y,z),u)) * z) = (z / x) * T(x,T(y,u)). [para(38(a,1),7916(a,1,2,1,2))]. 7949 (x / y) * T(y,T(z,x)) = y \ (T(y,z) * x). [para(7687(a,1),7916(a,1,2,1)),flip(a)]. 7950 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(3858(a,1),7923(a,1,2,2))]. 7951 T(x,y) * ((z / T(x,y)) * x) = x * T(z,K(x,y)). [para(7932(a,1),807(a,1,2)),flip(a)]. 7952 K(x,T(y,(y * z) \ u)) = K(x,T(y,z \ u)). [para(13(a,1),7939(a,1,2,2,1)),flip(a)]. 7953 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [para(7939(a,2),7355(a,2))]. 7954 ((x / y) / y) * T(y,T(z,x)) = (y \ (T(y,z) * x)) / y. [para(7949(a,1),943(a,1,1)),flip(a)]. 7955 x \ ((y / x) * T(T(x,x \ y),z)) = ((y / x) / x) * T(x,T(z,y / x)). [para(3880(a,2),7949(a,2,2)),flip(a)]. 7956 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [para(7952(a,1),6735(a,1))]. 7957 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y * z) \ u)). [para(7952(a,2),7355(a,2))]. 7958 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [para(7956(a,2),5599(a,2)),flip(a)]. 7959 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [para(7958(a,1),5599(a,2))]. 7960 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(13(a,1),7959(a,1,2,2)),flip(a)]. 7963 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [para(7913(a,1),4772(a,1)),flip(a)]. 7964 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(15(a,1),7293(a,1,1,1,1,2))]. 7965 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [para(4400(a,1),7293(a,1,1))]. 7966 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(17,a,5181,a,b,7305,a)]. 7967 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(7321(a,2),4932(a,2))]. 7968 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [para(7322(a,2),5475(a,1))]. 7969 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(7324(a,2),4675(a,1))]. 7970 T(x,(y * K(z,x)) \ u) = x * K(x,y \ u). [para(7969(a,1),4597(a,2,2))]. 7971 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(5441(a,1),7969(a,1,2,1,2))]. 7972 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(6055(a,1),7969(a,1,2,1)),flip(a)]. 7973 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(6567(a,1),7969(a,1,2,1))]. 7974 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(6580(a,1),7969(a,1,2,1,2))]. 7975 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(6709(a,1),7969(a,1,2,1)),flip(a)]. 7976 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [para(6794(a,1),7969(a,1,2,1)),flip(a)]. 7977 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [para(7973(a,1),6701(a,1)),flip(a)]. 7978 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(24(a,2),7975(a,1,2)),flip(a)]. 7979 K(x,y \ T(x,z)) = K(x,y \ x). [para(7975(a,1),6110(a,1))]. 7980 K(x,T(T(x,y),z) \ u) = K(x,T(x,z) \ u). [para(6602(a,1),7975(a,1,2,1))]. 7981 K(T(x,y),z \ T(T(x,u),y)) = K(T(x,y),z \ T(x,y)). [para(38(a,1),7979(a,1,2,2))]. 7982 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(111(a,1),7979(a,1,2,2)),flip(a)]. 7983 K(x,T(y,z) \ x) = K(x,T(y \ x,z)). [para(7979(a,1),6605(a,1))]. 7985 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4535(a,1),7977(a,1,2,2)),flip(a)]. 7986 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(4540(a,1),7977(a,1,2,2)),flip(a)]. 7987 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(4870(a,1),7977(a,1,2,2)),flip(a)]. 7988 K(x,y \ (z \ T(u,x))) = K(x,y \ (z \ u)). [para(5162(a,1),7977(a,1,2,2)),flip(a)]. 7989 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(7977(a,1),6535(a,2,1))]. 7990 K(x,y \ (z * K(x,u))) = K(x,y \ z). [para(7469(a,1),7977(a,1,2,2))]. 7992 K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). [para(7983(a,2),6603(a,1))]. 7994 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [para(7985(a,2),6446(a,2))]. 7995 T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). [para(7986(a,1),4597(a,2,2))]. 7996 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(6794(a,1),7990(a,1,2,2)),flip(a)]. 7997 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6819(a,1),7990(a,1,2,2))]. 7998 K(x,y \ (z * (u * x))) = K(x,y \ (z * (x * u))). [para(6804(a,1),7990(a,1,2,2)),flip(a)]. 7999 K(x,(x * y) \ (z * x)) = K(x,y \ z). [para(13(a,1),7994(a,1,2,1)),flip(a)]. 8000 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(13(a,1),7994(a,1,2)),flip(a)]. 8001 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(7994(a,1),6106(a,1,1))]. 8002 K(x,y \ (z * L(K(u,x),w,v5))) = K(x,y \ z). [para(5441(a,1),7996(a,1,2,2,2))]. 8003 T(x,(y * K(z,x)) \ u) = T(x,y \ u). [para(7970(a,2),4597(a,2)),flip(a)]. 8004 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(6567(a,1),8003(a,1,2,1))]. 8005 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [para(6794(a,1),8003(a,1,2,1)),flip(a)]. 8007 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [para(8004(a,1),6980(a,1))]. 8008 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(6804(a,1),8005(a,1,2,1)),flip(a)]. 8009 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(4535(a,1),8007(a,1,2,2))]. 8010 T(x,y \ T(x,z)) = T(x,y \ x). [para(4562(a,1),8007(a,1,2,2)),flip(a)]. 8011 T(x,y \ K(x,z)) = T(x,y \ 1). [para(4800(a,1),8007(a,1,2,2)),flip(a)]. 8012 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(4541(a,1),8007(a,1,2,2))]. 8013 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5137(a,1),8007(a,1,2,2))]. 8015 T(x,(T(x,y) / z) \ x) = T(x,z). [para(61(a,1),8010(a,1,2)),flip(a)]. 8016 T(x,T(x,y) / z) = T(x,z \ x). [para(8010(a,1),6527(a,2))]. 8017 T(x,T(y,z) \ x) = T(x,T(y \ x,z)). [para(8010(a,1),6659(a,1))]. 8018 T(T(x,y),z \ K(x,u)) = T(T(x,z \ 1),y). [para(8011(a,1),38(a,1,1)),flip(a)]. 8019 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(8011(a,1),5362(a,1,2,1))]. 8021 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(8009(a,1),4598(a,1,2,1))]. 8022 T(x,(y / x) \ z) = T(x,y \ (x * z)). [para(8009(a,1),7936(a,2))]. 8023 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(8012(a,1),4549(a,1,1,1)),flip(a)]. 8024 T(x,(x \ y) \ (x \ z)) = T(x,y \ z). [para(8012(a,1),7938(a,2))]. 8026 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2340(a,1),8022(a,1,2,1)),flip(a)]. 8027 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(13(a,1),8024(a,1,2,1)),flip(a)]. 8028 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(32(a,2),8024(a,1,2,1))]. 8029 K(x,T(T(x,y),z) \ u) = K(x,x \ u). [para(7980(a,2),7100(a,1))]. 8030 K(T(T(x,y),z) \ u,x) = K(x,x \ u) \ 1. [para(8029(a,1),4796(a,1,1)),flip(a)]. 8032 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [para(7987(a,1),7264(a,2))]. 8033 K(x,y \ ((T(z,x) / u) \ z)) = K(x,y \ u). [para(61(a,1),7988(a,1,2,2)),flip(a)]. 8034 K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). [para(6772(a,1),7992(a,1,2,1))]. 8035 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [para(8028(a,1),7062(a,1))]. 8036 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(97(a,2),8035(a,1,2))]. 8037 K(T(T(x,y),z) \ u,x) = K(x \ u,x). [para(8030(a,2),4796(a,1))]. 8039 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(95(a,1),7971(a,1,2,1))]. 8040 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(95(a,1),8002(a,1,2,2))]. 8041 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(7329(a,1),5265(a,1,1,1,2))]. 8042 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(14(a,1),7338(a,1,2)),flip(a)]. 8043 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [para(7341(a,1),4773(a,2))]. 8044 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(7456(a,1),7357(a,1,1))]. 8045 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(5493(a,1),7362(a,1,1)),flip(a)]. 8046 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(6794(a,1),7363(a,1,1)),flip(a)]. 8047 K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). [para(7403(a,2),7455(a,1,1))]. 8048 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [hyper(71,a,7462,a)]. 8049 ((1 / x) * (K(y,z) * x)) * x = x * L(K(y,z),x,x \ 1). [para(2502(a,1),7462(a,1,1))]. 8050 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(42(a,1),7463(a,1,1))]. 8051 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7073(a,1),7472(a,1,1,1,2))]. 8052 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [para(7497(a,1),7500(a,1))]. 8053 T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). [para(8052(a,1),6537(a,1,2))]. 8054 T(K(T(x,y \ 1),(1 / y) \ 1),z) = K(x,K(1 / y,z) / (1 / y)). [para(7499(a,1),7525(a,2))]. 8055 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [para(7503(a,1),7586(a,1))]. 8056 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(13(a,1),8055(a,1,2,2)),flip(a)]. 8057 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(4535(a,1),7519(a,1,1,2)),flip(a)]. 8058 K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). [para(16(a,1),7560(a,1,2,1,1)),flip(a)]. 8059 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [para(7571(a,1),5202(a,1)),flip(a)]. 8060 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(4928,a,8059,a)]. 8061 K(x \ y,x) * T(y / x,z) = T(x \ y,T(z,x)). [para(14(a,1),8060(a,1,2,1,1))]. 8062 K(x / y,z) * ((z * (y \ x)) / z) = T(x / y,T(y,z)). [para(486(a,1),8060(a,1,2))]. 8063 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(4572(a,1),8060(a,1,2,1))]. 8064 K(x,y) \ T(x,T(z,y)) = T(x * K(y,x),z). [hyper(71,a,8063,a)]. 8065 T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). [para(5939(a,1),8063(a,1,2)),flip(a)]. 8066 K(x,y) \ T(x,T(z,y)) = T(K(x,y) \ x,z). [para(4786(a,2),8064(a,2,1))]. 8067 K(x,y) \ T(K(y,x) \ y,z) = T(y,T(z,x)). [para(8066(a,1),4909(a,1,2))]. 8068 K(x,y) \ ((x * T(y,z)) / x) = T(y,T(z,x)). [para(4784(a,1),8067(a,1,2))]. 8069 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(7579(a,1),4597(a,2,2))]. 8070 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(7582(a,1),4561(a,2,2))]. 8071 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [para(7584(a,1),4426(a,2))]. 8072 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(18,a,6751,a,b,7590,a),flip(a)]. 8073 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [para(7604(a,2),7353(a,1))]. 8074 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [para(7605(a,2),7354(a,1))]. 8075 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(5380(a,1),8074(a,1,2))]. 8076 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(3978(a,1),7620(a,1,2,2,2))]. 8077 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(y,K(u / (x * z),x)). [para(7566(a,1),7621(a,1,2,2)),flip(a)]. 8078 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [para(7648(a,1),7917(a,1))]. 8079 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(332(a,1),7666(a,2,1))]. 8080 K(x,y) * K(y,T(L(y,z,u) * x,x)) = y \ L(y,x,L(y,z,u)). [para(4733(a,1),7672(a,1,2)),flip(a)]. 8081 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [para(7686(a,1),5254(a,1)),flip(a)]. 8082 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(42(a,2),7699(a,2,2))]. 8083 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(5191(a,1),7733(a,2,2))]. 8084 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(7721(a,1),7744(a,1,1))]. 8085 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(7726(a,1),7744(a,1,1))]. 8086 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(7728(a,1),7744(a,1,1))]. 8087 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [para(8084(a,1),5495(a,1)),flip(a)]. 8088 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). [para(8085(a,1),95(a,1,2))]. 8089 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [para(8085(a,1),5495(a,1)),flip(a)]. 8090 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [para(8085(a,1),8084(a,1))]. 8091 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [para(8086(a,1),8045(a,1)),flip(a)]. 8092 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [para(8086(a,1),8084(a,1))]. 8093 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [para(8086(a,1),8085(a,1))]. 8094 K(x,K(1 / y,L(z,u,w))) = K(x,K(z,1 / L(y,u,w))). [para(5423(a,1),8087(a,1,2)),flip(a)]. 8095 K(x,1 / L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [para(5494(a,2),8087(a,1,2))]. 8096 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(5815(a,1),8087(a,1,2)),flip(a)]. 8097 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(6100(a,1),8089(a,1,2)),flip(a)]. 8098 K(x,y) * K(x,K(z,L(y,u,w))) = T(K(x,y),L(z,u,w)). [para(8090(a,1),7353(a,1,2))]. 8099 K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [para(8090(a,1),7757(a,2))]. 8100 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [para(8091(a,2),7374(a,1))]. 8101 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(193(a,1),8093(a,2,2,2))]. 8102 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * R(K(x * y,z),y,T(x,y)). [para(7747(a,2),3028(a,2)),flip(a)]. 8103 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [para(7771(a,2),7748(a,1))]. 8104 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(6822(a,1),8103(a,1,2,1)),flip(a)]. 8105 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(1 / y,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(3920(a,1),7774(a,1,1,1,1))]. 8106 T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). [para(7776(a,2),7528(a,1))]. 8107 T(x,K(y,z \ x)) / z = T(x / z,K(x,y)). [para(4597(a,2),7789(a,1,1))]. 8108 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(6557(a,1),7851(a,1,1))]. 8109 T(K(x,y),z) * (z / y) = z / T(y,x). [para(8108(a,2),6823(a,1))]. 8110 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(6535(a,2),8109(a,1,1))]. 8111 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(2783(a,1),8110(a,1,1,2))]. 8112 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [para(8111(a,1),4581(a,2))]. 8113 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(7877(a,1),6262(a,1,2))]. 8114 K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). [para(7878(a,1),6573(a,2))]. 8115 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(7879(a,1),4761(a,1,2))]. 8116 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(7879(a,2),7375(a,2,1))]. 8117 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [para(7892(a,2),4597(a,2)),flip(a)]. 8118 T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). [para(13(a,1),8117(a,1,2,1,1)),flip(a)]. 8119 T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). [para(4701(a,1),8118(a,1,2)),flip(a)]. 8120 T(x,y \ K(y,z)) = T(x,z \ (y \ z)). [para(8119(a,1),7287(a,1))]. 8121 T(x,y / (y * z)) = T(x,y \ (z \ y)). [para(8120(a,1),4937(a,1)),flip(a)]. 8124 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [para(7896(a,2),7487(a,2))]. 8125 K(T(x * y,y) / x,z) = K(y,z). [para(263(a,1),8124(a,1,1)),flip(a)]. 8127 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(14(a,1),8125(a,1,1,1,1))]. 8128 K(x \ T(y,x \ y),x) = K(x \ y,x). [para(8127(a,1),4750(a,1)),flip(a)]. 8129 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K((T(x,y) / z) \ x,T(x,y) / z). [para(8015(a,1),8128(a,1,1,2))]. 8130 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5195,a,7903,a)]. 8131 T(x,(y * x) / z) = T(x,(z / y) \ x). [para(8130(a,1),7170(a,2))]. 8132 T(x,y \ T(z,z \ y)) = T(x,T(y \ z,z)). [para(7929(a,2),4597(a,2)),flip(a)]. 8133 T(x,x \ T(y,y \ x)) = T(x,x \ y). [para(8132(a,2),3561(a,1))]. 8134 T(x,y \ T(z,z \ y)) = T(x,z / y). [para(8132(a,2),7749(a,1))]. 8135 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(8133(a,1),176(a,1,2))]. 8136 T(x,y) \ (T(x,y) / R(x,z,u)) = T(1 / R(x,z,u),x). [para(7930(a,1),1591(a,2))]. 8137 T(T(x,y) * T((x \ z) / x,x),T(x,y)) = T(x \ ((z / x) * T(x,y)),x). [para(7223(a,2),7933(a,2,1))]. 8138 T(x,y) \ (x * T(z,K(x,y))) = (z / T(x,y)) * x. [hyper(71,a,7951,a)]. 8139 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(7972(a,1),6106(a,1,1))]. 8140 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [para(7982(a,1),7656(a,1))]. 8141 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [para(7989(a,2),6535(a,2)),flip(a)]. 8142 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [para(7997(a,1),7289(a,1))]. 8143 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(8013(a,1),4549(a,1,1,1))]. 8144 K(x,(y * (K(x,z) * u)) \ w) = K(x,(y * u) \ w). [para(6709(a,1),8039(a,1,2,1,2)),flip(a)]. 8145 K(x,y \ (z * (K(x,u) * w))) = K(x,y \ (z * w)). [para(6709(a,1),8040(a,1,2,2,2)),flip(a)]. 8146 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [para(8042(a,2),272(a,1))]. 8147 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [para(8146(a,2),6535(a,1))]. 8148 (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). [para(5235(a,1),8046(a,1,1))]. 8149 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [para(8048(a,1),3950(a,1)),flip(a)]. 8150 T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). [para(111(a,1),8149(a,1,1))]. 8151 T(R(K(x,y),z,u),w) * w = R(K(x,y),z,u) * T(w,R(K(x,y),z,u)). [para(8050(a,2),109(a,2)),flip(a)]. 8152 K(x \ y,T(x \ y,T(z,x)) * u) = K(x \ y,T(y / x,z) * u). [para(8061(a,1),7149(a,1,2,1))]. 8153 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(4657,a,8071,a)]. 8154 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(5281(a,1),8153(a,1,2,1)),flip(a)]. 8155 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [para(8075(a,2),8073(a,1))]. 8156 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(6792(a,1),8155(a,1,2))]. 8158 T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). [para(3828(a,1),8082(a,1,2,1)),flip(a)]. 8159 K(x,1 / L(K(y,z),u,w)) = K(x,L(K(y,z),u,w)). [para(8095(a,2),8089(a,2)),flip(a)]. 8160 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [para(8097(a,1),8092(a,1)),flip(a)]. 8161 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). [para(193(a,1),8099(a,1,2,2)),flip(a)]. 8162 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [para(8104(a,1),6517(a,2))]. 8163 K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). [hyper(4862,a,8106,a)]. 8164 K(x,K(y,z)) * K(x,z \ y) = K(x,y / z). [hyper(17,a,7380,a,b,8106,a(flip)),flip(a)]. 8165 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y * z)) * K(x,(y * z) \ z). [para(5120(a,2),8163(a,2,2)),flip(a)]. 8166 K(x,K(y,z)) * K(y,x \ z) = K(y,z / x). [para(7346(a,1),8163(a,1,1))]. 8167 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [para(7378(a,2),8163(a,1,1))]. 8168 K(x,y / z) \ K(x,K(y,z)) = K(z \ y,x). [para(8164(a,1),6793(a,1,1))]. 8169 K(x,K(y,z)) * K(y,z / x) = K(y,x \ z). [hyper(7414,a,8166,a)]. 8170 (K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(8167(a,1),4658(a,1,1,1))]. 8171 K(x,K(y,x / (1 / (1 / z)))) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(2361(a,2),8169(a,2,2))]. 8172 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [para(110(a,1),8135(a,1,2))]. 8173 T(x,y) \ (x * (x * T(z,T(x,y)))) = ((z * x) / T(x,y)) * x. [para(6027(a,1),8138(a,1,2,2))]. 8174 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(4609(a,2),8141(a,1,2,1,2))]. 8175 K(x,T(T(x,y) \ z,u)) = K(x,T(x \ z,u)). [para(4866(a,1),8141(a,1,2,1)),flip(a)]. 8176 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(6602(a,1),8141(a,1,2,1,2))]. 8177 K(x,L(L(y,z,K(x,u)),K(x,u) * z,w)) = K(x,(w * (K(x,u) * z)) \ (w * (z * y))). [para(332(a,1),8145(a,1,2))]. 8178 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [para(8172(a,1),5952(a,1))]. 8179 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(1076(a,1),6612(a,1,2)),flip(a)]. 8180 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [para(6759(a,2),4768(a,1))]. 8181 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [para(6798(a,1),7295(a,1))]. 8182 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(2921(a,1),8181(a,1,2)),flip(a)]. 8183 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(4859(a,1),8181(a,1,2)),flip(a)]. 8184 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(4860(a,1),8181(a,1,2)),flip(a)]. 8185 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(8184(a,1),5774(a,1,1)),flip(a)]. 8186 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(8184(a,1),7183(a,1,1,2))]. 8187 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(6610(a,1),7016(a,1,2))]. 8188 T(x \ R(x,y,x),y) = x \ R(x,y,x). [para(8187(a,1),5023(a,1))]. 8189 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [para(8188(a,1),145(a,1,1,2))]. 8190 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(7281(a,1),8189(a,1,1))]. 8191 R(x,y / z,z) * (u * (u \ y)) = (x * (z \ y)) * T(z,z \ y). [para(7280(a,2),80(a,2))]. 8192 K(L((K(x,y) \ z) / u,u,K(x,y)),w) = K((K(y,x) \ u) \ z,T(w,u)). [para(4906(a,2),7569(a,2,1,1))]. 8193 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [para(7581(a,2),7504(a,1))]. 8194 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(4593(a,1),8193(a,1,2,2))]. 8195 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(4544(a,1),8193(a,1,2,2))]. 8196 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [para(8043(a,1),6461(a,1)),flip(a)]. 8197 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(8113(a,1),28(a,2,2,2)),flip(a)]. 8198 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [para(8113(a,1),4855(a,1,2)),flip(a)]. 8199 K(x,y) * K(y * R(x,z,u),x) = x \ R(x,y,R(x,z,u)). [para(8115(a,1),4855(a,1,2)),flip(a)]. 8200 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8115(a,1),5224(a,1,1)),flip(a)]. 8201 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [para(8185(a,1),6859(a,1)),flip(a)]. 8202 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(329,a,6454,a)]. 8203 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = K(w,x). [para(6454(a,1),6793(a,1,1))]. 8204 K(x,y) * (L(y,z,u) * (w * K(y,x))) = T(L(y,z,u) * w,K(x,y)). [para(6454(a,1),7435(a,1,2))]. 8205 K(L(x,y,L(x,z,u)),w) = K(x,w). [para(8202(a,1),6096(a,1)),flip(a)]. 8206 x * K(L(x,y,L(x,z,u)),w) = T(x,w). [para(8205(a,2),4597(a,2,2)),flip(a)]. 8207 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (R(x,y,z) * w)). [hyper(6170,a,6455,a),flip(a)]. 8208 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [para(6664(a,2),7311(a,1))]. 8210 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(361,a,6682,a)]. 8211 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4535(a,1),6682(a,1,1)),flip(a)]. 8212 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(6682(a,1),4863(a,1,1,2))]. 8213 K(R(x,y,R(x,z,u)),w) = K(x,w). [para(8210(a,1),6225(a,1)),flip(a)]. 8214 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [para(8210(a,1),6359(a,1)),flip(a)]. 8215 K(x,R(y,z,R(x,u,w))) = K(x,y). [para(8210(a,1),6365(a,1)),flip(a)]. 8216 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(8213(a,1),4609(a,2,1)),flip(a)]. 8217 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. [para(8213(a,1),5003(a,1,1,1)),flip(a)]. 8218 K(x,T((y * R(x,z,u)) / w,w / R(x,z,u))) = K(x,(w / R(x,z,u)) \ y). [para(543(a,1),8215(a,1,2))]. 8219 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(361,a,6683,a)]. 8220 K(R(x,y,L(x,z,u)),w) = K(x,w). [para(8219(a,1),6225(a,1)),flip(a)]. 8221 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [para(8220(a,1),7489(a,1))]. 8222 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [para(8221(a,1),7478(a,1))]. 8223 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(8222(a,1),4704(a,2,1,1))]. 8225 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [para(8223(a,2),4704(a,2)),flip(a)]. 8226 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [para(6740(a,1),6225(a,1))]. 8227 K(R(x,y,z),T(u,x * w)) = K(R(x,y,z),T(u,w)). [para(13(a,1),8226(a,1,2,2)),flip(a)]. 8228 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(8226(a,1),4800(a,1,1))]. 8229 K(x,((y * z) \ z) \ 1) = K(x,(z \ (y \ z)) \ 1). [para(124(a,1),6750(a,2,2,1,2)),flip(a)]. 8230 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(5444(a,1),6812(a,1,1,2))]. 8231 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(8230(a,1),59(a,1,2))]. 8232 x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. [para(8230(a,1),76(a,1,2)),flip(b)]. 8233 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(95(a,1),8230(a,1,1))]. 8234 (((x \ y) \ y) * L(K(z,u),w,v5)) \ T(x,x \ y) = L(K(u,z),w,v5). [para(217(a,1),8230(a,1,1))]. 8235 x / L(K(y,z),u,w) != x * v5 | L(K(z,y),u,w) = v5. [para(8231(a,2),19(a,1))]. 8236 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [para(8231(a,1),123(a,1))]. 8237 x / L(L(K(y,z),u,w),K(z,y),v5) = x * L(K(z,y),u,w). [para(6813(a,2),8231(a,1,2))]. 8238 (x * (y * K(z,u \ 1))) \ (x * y) = K(L(u,y,x) \ 1,z). [para(8233(a,2),5440(a,1))]. 8239 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(6567(a,1),8233(a,1,1,2))]. 8240 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(8236(a,1),19(a,1)),flip(a)]. 8241 (x * (y * T(z,u))) * L(K(u,z),y * z,x) = x * (y * z). [para(5779(a,1),8236(a,1,1,2))]. 8242 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(6567(a,1),8236(a,1,1,2))]. 8243 L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). [para(8242(a,1),7530(a,1,1)),flip(a)]. 8244 T(x,((y \ x) * y) \ z) = T(x,x \ z). [para(6870(a,2),6850(a,1))]. 8245 T(x,(y * (x / y)) \ z) = T(x,x \ z). [para(61(a,1),8244(a,1,2,1,1))]. 8246 T((x \ y) * x,((z \ y) * z) \ u) = (x \ T(y,y \ u)) * x. [para(8244(a,1),4378(a,2,1,2))]. 8247 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (y \ z)) \ u). [para(676(a,1),6882(a,1,1,2))]. 8248 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(624(a,1),6882(a,1,1,2))]. 8249 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1391(a,1),6882(a,1,1,2))]. 8250 R(x,K(y,z),R(z,u,w)) = x. [hyper(361,a,6911,a)]. 8251 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [para(8250(a,1),6798(a,1)),flip(a)]. 8252 R(x,K(y,z),L(z,u,w)) = x. [hyper(361,a,6912,a)]. 8253 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(6580(a,1),8252(a,1,2))]. 8254 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(8253(a,1),394(a,1,1))]. 8255 T(x,y) / T(R(x,z,u),w) = R(T(x,w),z,u) \ T(x,y). [para(42(a,2),6942(a,2,1))]. 8256 K(x,((y * z) \ z) \ 1) \ (y * u) = T(y,T(x,z)) * u. [para(8229(a,2),6995(a,1,1))]. 8257 x \ (T(x,T(T(y,z),u)) * z) = (z / T(x,u)) * T(T(x,u),y). [para(6996(a,1),7916(a,1))]. 8258 K(x,K(y,T(z,x * u))) = K(x,K(y,T(z,u))). [hyper(17,a,6622,a,b,7036,a),flip(a)]. 8259 K(x,K(y,T(z,x \ u))) = K(x,K(y,T(z,u))). [para(14(a,1),8258(a,1,2,2,2)),flip(a)]. 8260 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [para(7140(a,1),8186(a,1))]. 8261 K(x * (R(x,y,x) \ z),x) = K(z,x). [para(8260(a,2),7145(a,1))]. 8262 K(R(x,y,x) * z,x) = K(x * z,x). [para(13(a,1),8261(a,1,1,2)),flip(a)]. 8263 K(x * R(y,z,y),y) = K(y * x,y). [para(8262(a,1),7166(a,1)),flip(a)]. 8264 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(8263(a,1),4702(a,2,2,2))]. 8265 T(x,y * R(x,z,x)) = T(x,x * y). [para(8264(a,2),4702(a,2)),flip(a)]. 8266 T(x,y * R(x,z,x)) = x * K(x,x * y). [para(8265(a,2),4597(a,1))]. 8267 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(4657,a,8266,a)]. 8268 K(x,R(x,y,x) * z) = K(x,x * z). [para(8267(a,1),7158(a,2))]. 8269 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [para(8268(a,1),6463(a,2))]. 8270 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). [para(5832(a,2),7240(a,2,2,2)),flip(a)]. 8271 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5459(a,1),7361(a,1,1)),flip(a)]. 8272 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(7351(a,1),7365(a,1,1))]. 8273 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [para(16(a,1),7402(a,1,2,1))]. 8274 T(x,K(y,(z \ 1) \ x)) = z \ T(z * x,K(x,y)). [para(7402(a,2),4597(a,2))]. 8275 T(x,K(y,x \ (z \ 1))) = z \ T(z * x,K(x,y)). [para(8274(a,1),7764(a,1)),flip(a)]. 8276 x \ T(x * y,K(y,z)) = T(y,K(x,z)). [para(8275(a,1),7768(a,1))]. 8277 x \ (y * T(x,T(y,z))) = T(y,K(x,z)). [para(6027(a,1),8276(a,1,2))]. 8278 x * T(y,T(x,z)) = y * T(x,K(y,z)). [para(8277(a,1),14(a,1,2)),flip(a)]. 8279 x * T(y * K(x,y),T(x,z)) = y * T(x,T(y,z)). [para(7810(a,2),8278(a,2,2)),flip(a)]. 8280 T(x * T(y,K(x,z)),y) = T(x * y,T(y,z)). [para(8278(a,1),7825(a,1,1))]. 8281 K(T(x * y,T(y,z)) \ ((x * T(y,K(x,z))) * u),w) = K(K(x * T(y,K(x,z)),y) \ u,w). [para(8280(a,1),4966(a,1,1,1))]. 8282 T(x * K(y,T(x,z)),y) = T(x * K(y,x),T(y,z)). [hyper(17,a,5784,a,b,8279,a),flip(a)]. 8283 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(z / y,x),y \ z). [para(7476(a,1),8282(a,1,1,2)),flip(a)]. 8284 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5459(a,1),7410(a,1,2)),flip(a)]. 8285 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [para(8284(a,1),8271(a,2))]. 8286 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7374(a,1),8285(a,1,1))]. 8287 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(3777(a,1),8286(a,2,2))]. 8288 x * R(K(x,K(y,z)),u,w) = T(x,R(K(y,z),u,w)). [para(8286(a,2),4597(a,2,2)),flip(a)]. 8289 T(x * K(y,z),K(u,y)) = T(x,K(u,y)) * K(y,z). [para(7428(a,1),7381(a,1))]. 8290 T(K(x,y) * z,K(u,y)) = K(x,y) * T(z,K(u,y)). [hyper(5738,a,8289,a),flip(a)]. 8291 T(K(x,y) * z,K(u,y)) = K(x,y) * T(z,K(y,u)). [para(7431(a,1),8290(a,2,2))]. 8292 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [para(8291(a,1),7431(a,1)),flip(a)]. 8293 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(5733,a,8292,a),flip(a)]. 8294 T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). [para(8293(a,2),7627(a,1))]. 8295 T(x * K(y,z * x),K(y,z)) = K(y,z * x) * x. [para(8293(a,2),7642(a,1))]. 8296 T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. [para(8294(a,2),19(a,1))]. 8297 (x \ y) * K(x,T(x \ y,z)) = T(y / x,K(x,z)). [para(4618(a,1),8294(a,1,1)),flip(a)]. 8298 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / T(K(y,z),x * K(y,z * x)). [para(8295(a,1),3905(a,1,1)),flip(a)]. 8299 K(x \ y,T(x,z)) \ (x \ y) = T(y / x,K(x,z)). [para(8297(a,1),6595(a,2))]. 8300 K(x \ y,T(x,z)) \ (x \ y) = T(y,K(x,z)) / x. [para(8299(a,2),7799(a,2)),flip(a)]. 8301 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [para(7511(a,2),7493(a,1))]. 8302 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(14(a,1),8301(a,1,2)),flip(a)]. 8305 R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). [para(8302(a,1),6368(a,2))]. 8306 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(4907(a,1),8305(a,1,2)),flip(a)]. 8309 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [para(7550(a,1),7519(a,1)),flip(a)]. 8310 K((K(x,y) * z) / u,x) = K(z / u,x). [para(8309(a,1),7476(a,1))]. 8312 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(8310(a,1),6793(a,1,1,2)),flip(a)]. 8313 K(x,(K(x,y) * z) / u) = K(x,z / u). [para(8312(a,2),4675(a,1))]. 8314 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(7695(a,1),8313(a,1,2,1))]. 8315 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [para(8314(a,2),7174(a,1))]. 8316 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [para(7567(a,1),7518(a,1)),flip(a)]. 8317 K(x / (y * K(z,u)),z) = K(x / y,z). [para(8316(a,1),7484(a,1))]. 8319 K(x / (y * z),z) = K(x / (z * y),z). [para(87(a,1),8317(a,1,1,2)),flip(a)]. 8320 K(x / (y * T(z,u)),u) = K(x / (y * z),u). [para(6824(a,1),8317(a,1,1,2)),flip(a)]. 8321 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [para(7578(a,1),7974(a,1)),flip(a)]. 8322 K(x,y / (z * K(u,x))) = K(x,y / z). [para(8321(a,1),7494(a,1))]. 8324 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1087(a,1),8322(a,1,2,2))]. 8325 K(x,y / K(z,z \ K(u,x))) = K(x,y / (z * (K(u,x) / z))). [para(4626(a,1),8322(a,1,2,2)),flip(a)]. 8326 K(x,y / (K(x,z) * u)) = K(x,y / u). [para(6709(a,1),8322(a,1,2,2)),flip(a)]. 8327 K(x,y / (z * K(x,u))) = K(x,y / z). [para(6794(a,1),8322(a,1,2,2)),flip(a)]. 8328 K(x,((y * K(x,z)) * u) / u) = K(x,R(y,K(x,z),u)). [para(30(a,2),8326(a,1,2)),flip(a)]. 8329 K(x,y / ((z / x) * u)) = K(x,y / ((x \ z) * u)). [para(5200(a,1),8326(a,1,2,2))]. 8330 K(x,R(y,K(x,z),u)) = K(x,y * K(x,z)). [para(15(a,1),8328(a,1,2)),flip(a)]. 8332 K(x,R(y,K(x,z),u)) = K(x,y). [para(8330(a,2),7088(a,1))]. 8333 K(x,R(R(y,K(x,z),u),w,v5)) = K(x,R(y,w,v5)). [para(46(a,1),8332(a,1,2))]. 8335 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(4572(a,1),7580(a,1,1,1,2))]. 8336 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [para(7603(a,1),7348(a,1))]. 8337 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(13(a,1),8336(a,1,2,2)),flip(a)]. 8339 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(7478(a,1),7649(a,1,1)),flip(a)]. 8341 (K(x,y) * T(z,u)) / T(K(x,y),z) = (z * (K(x,y) * K(z,u))) * K(y,x). [para(7660(a,2),7748(a,2))]. 8342 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [para(7770(a,1),7748(a,1))]. 8343 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(7817(a,1),7788(a,2,1))]. 8344 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [hyper(18,a,6928,a,b,8343,a(flip)),flip(a)]. 8345 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(8344(a,1),7150(a,1,2))]. 8346 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(111(a,1),8345(a,1,2,2)),flip(a)]. 8347 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [para(7795(a,2),7883(a,1))]. 8348 T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). [para(7841(a,2),4597(a,2)),flip(a)]. 8349 T(T(x,1 / y),K(z,1 / y)) = T(x,1 / T(y,z)). [para(8348(a,1),7431(a,1)),flip(a)]. 8350 T(x,1 / T(y,z)) = T(x,T(1 / y,z)). [para(8348(a,1),7808(a,1))]. 8351 T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). [para(5113(a,1),8349(a,1,2))]. 8352 R(x,T(y,z),T(T(K(y,u),w),T(y,z))) * (K(y,z) * T(T(y,u),K(u,w))) = (x * T(y,z)) * T(T(K(y,u),w),T(y,z)). [para(7842(a,2),370(a,1,2))]. 8353 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(7478(a,1),7881(a,1,1)),flip(a)]. 8354 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(124(a,1),8353(a,1,1,2)),flip(a)]. 8355 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(176(a,1),8353(a,1,1,2))]. 8357 L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). [para(8353(a,1),6861(a,2))]. 8358 K(L(x,y,z),y) = K(x,L(y,x,z)). [para(8354(a,1),6100(a,1))]. 8359 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [para(8354(a,1),6107(a,1))]. 8360 K(L(x,y,z),x * y) = K(x,x * y). [para(8354(a,1),6916(a,1))]. 8361 K(L(x,x \ 1,y),z) = K(x,z). [para(8355(a,2),263(a,1))]. 8362 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [para(8361(a,1),7488(a,1))]. 8363 L(K(x,y),K(x,z) * u,w) = L(K(x,y),u,w). [para(6709(a,1),8357(a,1,2)),flip(a)]. 8365 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [para(8362(a,1),7478(a,1))]. 8366 K(L(x,x \ K(y,x),z),u) = K(x,u). [para(4556(a,1),8365(a,1,1,2))]. 8368 L(K(x,y),K(z,x),u) = K(x,y). [para(8366(a,1),8355(a,1)),flip(a)]. 8369 L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). [para(8368(a,1),44(a,1,1)),flip(a)]. 8371 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(8368(a,1),95(a,1,2))]. 8372 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(8368(a,1),337(a,1,2,1))]. 8373 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(6806,a,8371,a)]. 8374 R(x,K(y,z),K(z,u)) = x. [hyper(361,a,8371,a)]. 8375 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(1720(a,2),8371(a,2,2))]. 8376 K(x,y) * (z * (K(u,y) * K(y,x))) = T(z * K(u,y),K(y,x)). [para(8371(a,1),4910(a,1,2))]. 8377 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [para(8371(a,1),8201(a,1))]. 8378 R(x,T(K(y,z),u),K(z,w)) = x. [para(1325(a,1),8374(a,1,2))]. 8379 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(8374(a,1),2214(a,1,1,1))]. 8380 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5441(a,1),8374(a,1,2))]. 8381 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(8374(a,1),5821(a,1,1))]. 8382 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5246(a,1),8378(a,1,3))]. 8383 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(8380(a,1),104(a,1,1)),flip(a)]. 8384 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(8380(a,1),395(a,1,1))]. 8385 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(8382(a,1),638(a,1,1)),flip(a)]. 8386 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [para(8381(a,2),1720(a,2)),flip(a)]. 8387 K(x,y) * K(y,y \ x) = a(y,x / y,y). [para(8381(a,1),3883(a,1))]. 8389 x \ R(x,x \ y,x) = a(x,y / x,x). [para(8387(a,1),5234(a,2))]. 8390 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(8387(a,1),6793(a,1,1))]. 8391 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(13(a,1),8389(a,1,2,2)),flip(a)]. 8392 x \ R(x,T(y,x),x) = a(x,y,x). [para(145(a,1),8391(a,1,2)),flip(a)]. 8393 x \ R(x,y,x) = a(x,y,x). [para(4067(a,1),8392(a,1,2))]. 8394 x * a(x,y,x) = R(x,y,x). [para(8393(a,1),14(a,1,2))]. 8395 (x * y) \ (x * R(y,z,y)) = L(a(y,z,y),y,x). [para(8393(a,1),97(a,1,1)),flip(a)]. 8396 R(x,y,x) / x = a(x,y,x). [para(8393(a,1),3464(a,2))]. 8397 a(x,y,x) * x = R(x,y,x). [para(8393(a,1),3465(a,1,1))]. 8398 K(x,y) * K(x * y,x) = a(x,y,x). [para(8393(a,1),5023(a,2))]. 8399 K(x * y,x) * K(x,y) = a(x,y,x). [para(8393(a,1),5230(a,2))]. 8400 a(x,y,x) \ K(x * y,x) = K(y,x). [para(8393(a,1),6810(a,1,1))]. 8401 T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). [para(8393(a,1),6599(a,1,2)),flip(a)]. 8402 T(x,y) * a(x,z,x) = R(T(x,y),z,x). [para(8393(a,1),6787(a,1,2))]. 8403 x \ R(T(x,y),z,x) = K(x,y) * a(x,z,x). [para(8393(a,1),6790(a,1,2)),flip(a)]. 8404 T(x * y,x) / x = y * a(x,y,x). [para(8393(a,1),7281(a,1,2)),flip(a)]. 8405 R(x,y,x) \ (x * (z * a(x,y,x))) = L(T(z,a(x,y,x)),a(x,y,x),x). [para(8394(a,1),157(a,1,1))]. 8406 a(x,y,x) \ R(x,y,x) = x. [para(8396(a,1),61(a,1,1))]. 8407 a(x \ 1,x,x \ 1) = (x \ 1) * x. [para(8396(a,1),408(a,1))]. 8408 L(a(x,y,x) \ z,a(x,y,x),L(R(x,y,x) / a(x,y,x),u,w)) = (a(x,y,x) * L(x,u,w)) \ (L(R(x,y,x) / a(x,y,x),u,w) * z). [para(8406(a,1),573(a,1,1,2,1)),flip(a)]. 8409 a(x,y,x) * K(x,x * y) = K(x,y). [hyper(6806,a,8398,a)]. 8410 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(4928,a,8398,a)]. 8411 K(x,y) \ a(x,y,x) = K(x * y,x). [hyper(71,a,8398,a)]. 8412 (x * y) \ T(y * x,y) = a(y,x,y). [para(8398(a,1),6180(a,2))]. 8413 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(6806,a,8399,a)]. 8414 K(x,x * y) * a(x,y,x) = K(x,y). [hyper(4928,a,8399,a)]. 8415 a(x,y \ 1,x) \ K(y \ x,x) = K(y \ 1,x). [para(5030(a,1),8400(a,1,2))]. 8416 a(x,y,x) \ K(y * x,x) = K(y,x). [para(5189(a,2),8400(a,1,2))]. 8417 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(8404(a,1),111(a,1,1))]. 8418 R(x * a(y,x,y),z,u) * y = y * R(y \ T(y * x,y),z,u). [para(8404(a,1),451(a,1,1,1))]. 8419 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(8404(a,2),156(a,1,2,2))]. 8420 L(L(a(x,y,x),y,z),z * y,u) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(8404(a,2),332(a,1,2,2,2)),flip(a)]. 8421 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [para(8404(a,1),1618(a,2))]. 8422 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(8404(a,2),331(a,1,2,2))]. 8423 a(x,x \ y,x) * K(x,y) = K(x,x \ y). [para(14(a,1),8409(a,1,2,2))]. 8424 (x * y) * a(y,x,y) = T(y * x,y). [para(8412(a,1),14(a,1,2))]. 8425 a(x,y,x) * K(y,x) = K(y * x,x). [para(8413(a,2),5189(a,2)),flip(a)]. 8426 a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(6173(a,1),8413(a,2,1))]. 8427 a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). [para(6970(a,1),8413(a,1,2))]. 8428 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(14(a,1),8414(a,1,1,2))]. 8429 L(a(x,y,x),K(x,x * y),z) = (z * K(x,x * y)) \ (z * K(x,y)). [para(8414(a,1),28(a,2,2,2))]. 8430 ((x / y) * y) * a(y,x / y,y) = y * (T(x,y) / y). [para(8424(a,2),1047(a,1))]. 8431 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(8424(a,1),672(a,1,1,2))]. 8432 R(T(x,y),z,x) \ (x * ((K(x,y) * a(x,z,x)) * u)) = L(u,x \ R(T(x,y),z,x),x). [para(8403(a,1),96(a,1,2,2,1))]. 8433 L((K(x,y) * a(x,z,x)) \ u,x \ R(T(x,y),z,x),T(x,R(T(x,y),z,x))) = ((x * R(T(x,y),z,x)) / x) \ (T(x,R(T(x,y),z,x)) * u). [para(8403(a,1),3549(a,1,1,1))]. 8435 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(1720(a,2),8373(a,1,1,2))]. 8436 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(6823(a,1),8375(a,1,1)),flip(a)]. 8437 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(18,a,8373,a,b,8435,a(flip)),flip(a)]. 8438 x / (K(y,z) * K(z,u)) = x * (K(z,y) * K(u,z)). [hyper(78,a,8437,a)]. 8439 x / (K(y,z) * K(u,y)) = x * (K(z,y) * K(y,u)). [para(16(a,1),8437(a,1,1)),flip(a)]. 8440 (x * (K(y,z) * K(u,y))) * w != x | K(z,y) * K(y,u) = w. [para(8437(a,1),19(a,1)),flip(a)]. 8441 (x * (K(y,z) * K(z,u))) \ x = K(z,y) * K(u,z). [hyper(409,a,8438,a)]. 8442 x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). [para(1720(a,1),8438(a,2,2))]. 8443 (x * (K(y,z) * K(u,y))) \ x = K(y,u) * K(z,y). [para(1720(a,2),8441(a,1,1,2))]. 8444 x / T((1 * (K(y,z) * K(u,y))) * x,K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(8443(a,1),3804(a,1,2,2))]. 8445 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(5231(a,1),8377(a,1,2)),flip(a)]. 8446 R(x,y,x) \ x = x \ L(x,y,x). [hyper(7011,a,8445,a)]. 8447 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [para(8446(a,1),994(a,1,2))]. 8448 x / R(x,y,x) = x \ L(x,y,x). [para(8446(a,1),6395(a,2))]. 8449 (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8448(a,1),2419(a,1,1,2,1))]. 8450 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(8447(a,1),4509(a,2,2))]. 8451 x * a(y,x / y,y) = y * (T(x,y) / y). [para(16(a,1),8430(a,1,1))]. 8453 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [para(7882(a,2),8226(a,1))]. 8454 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(105(a,1),8453(a,1,1)),flip(a)]. 8455 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(7478(a,1),7886(a,1,1)),flip(a)]. 8456 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(124(a,1),8455(a,1,2,2)),flip(a)]. 8457 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(176(a,1),8455(a,1,2,2))]. 8459 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(16(a,1),8456(a,1,2))]. 8460 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(8456(a,1),95(a,1,2))]. 8461 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [para(8456(a,1),6085(a,1))]. 8462 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(8459(a,1),8087(a,1,2)),flip(a)]. 8463 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [para(7890(a,2),7504(a,1))]. 8464 K(x,K(y,z)) * (T(y,u) * x) = T(T(y,u) * x,K(y,z)). [para(7378(a,1),7920(a,1,1))]. 8465 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(7373(a,1),7945(a,2,2))]. 8466 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(13(a,1),7964(a,1,1,1,1)),flip(a)]. 8467 K(x,T(y \ T(T(x,z),u),u)) = K(T(x,u),y \ T(x,u)). [para(7981(a,1),6573(a,1)),flip(a)]. 8468 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [para(8053(a,1),6545(a,2))]. 8469 T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = K(x * y,z) * ((z * (L(y \ 1,y,x) \ x)) / z). [para(280(a,1),8062(a,1,1,1)),flip(a)]. 8470 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(3828(a,1),8069(a,1,2,1))]. 8471 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [para(8070(a,2),4561(a,2)),flip(a)]. 8472 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(5190(a,1),8471(a,2,1,2,1))]. 8473 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(6524(a,1),8471(a,2,1,2))]. 8474 K(x,y) * K(x,K(1 / z,L(y,u,w))) = T(K(x,y),1 / L(z,u,w)). [para(8094(a,2),7353(a,1,2))]. 8475 T(x,y) \ (R(x,z,u) \ T(x,y)) = T(1 / R(x,z,u),x). [para(6400(a,1),8136(a,1,2))]. 8478 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [para(8176(a,2),8174(a,1))]. 8480 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(8182(a,1),3449(a,1,1)),flip(a)]. 8481 L(K(x,y),z,L(y,u,w)) = K(x,y). [para(8203(a,1),8233(a,1)),flip(a)]. 8482 L(K(x,y),z,y) = K(x,y). [para(261(a,1),8481(a,1,3))]. 8483 K(L(x,y,L(z,u,w)),z) = K(x,z). [para(8481(a,1),6096(a,1)),flip(a)]. 8484 K(x,L(y,z,L(y,u,w))) = K(x,y). [para(8481(a,1),6100(a,1)),flip(a)]. 8485 (x * y) * K(z,x) = x * (y * K(z,x)). [para(8482(a,1),95(a,1,2))]. 8488 K((x \ y) \ z,x) = K(y \ (x * z),x). [para(8482(a,1),6085(a,1))]. 8489 K(L(x,y,z),z) = K(x,z). [para(8482(a,1),6096(a,1)),flip(a)]. 8490 K((x * y) \ z,x) = K(y \ (x \ z),x). [para(8482(a,1),6086(a,1)),flip(a)]. 8491 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(45(a,1),8489(a,1,1))]. 8492 K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). [para(8489(a,1),5507(a,1,2,1,2)),flip(a)]. 8493 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(5740(a,1),8489(a,1,1))]. 8494 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(8489(a,1),7504(a,1,1,2)),flip(a)]. 8495 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(3913(a,1),8483(a,1,1))]. 8496 R(x,y,K(z,x)) = x. [hyper(361,a,8485,a)]. 8498 (x * (y * K(z,x))) / x = (x * y) / T(x,z). [para(8485(a,1),6831(a,1,1))]. 8500 R(R(x,y,z),u,K(w,x)) = R(x,y,z). [para(8496(a,1),46(a,1,1)),flip(a)]. 8501 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(8496(a,1),367(a,1,1,1)),flip(a)]. 8502 R(x,y,K(z,T(x,u))) = x. [para(6573(a,1),8496(a,1,3))]. 8503 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(8502(a,1),368(a,1,1,1)),flip(a)]. 8504 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = ((x * K(y,z)) * R(z,u,w)) / K(y,z). [para(8500(a,1),584(a,1,1,2)),flip(a)]. 8505 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(14(a,1),8488(a,2,1,2))]. 8506 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(8488(a,1),5263(a,1,1,1,2))]. 8507 K((x \ y) \ z,x) = K(y \ (z * x),x). [para(8488(a,2),7326(a,2)),flip(a)]. 8508 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,1 / ((y * x) \ y)). [para(1421(a,1),8490(a,1,1,1)),flip(a)]. 8509 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [para(8490(a,1),4715(a,2))]. 8510 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(8490(a,1),5890(a,1,2))]. 8511 K((x * y) \ z,y) = K(x \ (y \ z),y). [para(8490(a,1),6071(a,2))]. 8512 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [para(8490(a,1),6074(a,2))]. 8513 K(x \ (y \ z),y) * z = z * K(z / (y * x),y). [para(8490(a,1),7527(a,1,1))]. 8514 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [para(8505(a,1),7966(a,1)),flip(a)]. 8515 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(8511(a,1),5263(a,1,1,1,2))]. 8516 L(K(x \ y,x),y,z) = K(z \ (x \ (z * y)),x). [para(8511(a,1),6084(a,2))]. 8517 K((x * y) \ (z * y),y) = K(x \ z,y). [para(8511(a,2),7141(a,1))]. 8518 T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). [para(8514(a,1),4702(a,2,2,2))]. 8519 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [para(8494(a,2),7504(a,1))]. 8520 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(343(a,1),8519(a,1,2,2)),flip(a)]. 8521 T((x * y) / T(x,z),x) = y * K(z,x). [para(8498(a,1),144(a,1,1))]. 8522 T(x / T(y,z),y) = (y \ x) * K(z,y). [para(14(a,1),8521(a,1,1,1))]. 8523 ((x \ y) / T(x,z)) * x = T(y / T(x,z),x). [para(8522(a,2),6842(a,2))]. 8524 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(8509(a,1),6423(a,2,1))]. 8525 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [para(8512(a,1),6083(a,1)),flip(a)]. 8526 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [para(8525(a,1),5320(a,1))]. 8527 K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). [para(8526(a,1),7141(a,1))]. 8528 T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). [para(8527(a,1),4702(a,2,2,2))]. 8529 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(329,a,8501,a)]. 8530 T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). [para(8501(a,1),7144(a,1))]. 8532 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [para(8529(a,1),6086(a,1)),flip(a)]. 8533 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(22,a,8510,a)]. 8534 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(13(a,1),8510(a,2,2,1,2))]. 8535 K((x \ y) / z,x) = K(y / (x * z),x). [hyper(17,a,7894,a(flip),b,8513,a(flip)),flip(a)]. 8536 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [para(8518(a,2),4702(a,2)),flip(a)]. 8537 T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). [para(13(a,1),8536(a,1,2,2,1)),flip(a)]. 8538 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(900(a,1),8536(a,1,2,2,1)),flip(a)]. 8539 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [para(8537(a,1),8027(a,1)),flip(a)]. 8540 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [para(8539(a,1),5939(a,1))]. 8541 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(6834(a,2),8530(a,1,2))]. 8542 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [para(8532(a,2),7330(a,1))]. 8544 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(8542(a,1),7378(a,2,2))]. 8545 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1616(a,1),8541(a,1,2)),flip(a)]. 8546 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1625(a,1),8541(a,1,2)),flip(a)]. 8547 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1570(a,2),8211(a,1,2))]. 8548 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [para(8214(a,2),7169(a,1))]. 8549 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(8216(a,2),42(a,2)),flip(a)]. 8550 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(4815,a,8228,a),flip(a)]. 8551 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(6987(a,2),8251(a,1,2))]. 8552 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8272(a,2),7408(a,1,1))]. 8553 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [para(8272(a,2),7723(a,1))]. 8554 R(K(x,K(y,z)),u,w) = K(x,K(z,R(y,u,w))). [para(7716(a,1),8553(a,1,1))]. 8555 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(7720(a,1),8553(a,1,1))]. 8556 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(7723(a,1),8553(a,1,1))]. 8557 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [para(8554(a,1),8286(a,1)),flip(a)]. 8558 x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). [para(8556(a,2),4597(a,2,2)),flip(a)]. 8559 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [para(8556(a,1),8286(a,1)),flip(a)]. 8560 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [para(8556(a,1),8287(a,1))]. 8561 K(x,K(y,R(z,u,w))) = K(z,K(x,R(y,u,w))). [para(8556(a,1),8555(a,1)),flip(a)]. 8562 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(6399(a,1),8557(a,1,2)),flip(a)]. 8563 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [para(8558(a,1),8288(a,1)),flip(a)]. 8564 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(8335(a,1),16(a,1,1))]. 8565 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [para(8436(a,2),8183(a,1))]. 8566 (x / y) * a(y,z,y) = x / L(y,z,y). [para(8398(a,1),8565(a,1,2))]. 8567 (x / y) \ (x / L(y,z,y)) = a(y,z,y). [hyper(71,a,8566,a)]. 8568 (x * y) / L(y,z,y) = x * a(y,z,y). [para(15(a,1),8566(a,1,1)),flip(a)]. 8569 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [para(8568(a,1),61(a,1,1))]. 8570 (x / L(y,z,y)) * y = x * a(y,z,y). [para(8568(a,1),1463(a,1)),flip(a)]. 8571 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(654(a,1),8569(a,1,2))]. 8572 a(x,y,x) \ x = L(x,y,x). [para(8569(a,1),3366(a,1)),flip(a)]. 8573 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(8404(a,2),8569(a,1,1))]. 8574 L(x,y,x) \ x = a(x,y,x). [hyper(7009,a,8570,a)]. 8575 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(15(a,1),8570(a,1,1)),flip(a)]. 8576 x * (L(x,y,x) \ z) = z * a(x,y,x). [para(8570(a,1),6717(a,1)),flip(a)]. 8577 L(x,y,x) \ 1 = x \ a(x,y,x). [para(8574(a,1),1067(a,1,2)),flip(a)]. 8578 L(x,y,x) \ x = x \ R(x,y,x). [para(8574(a,2),8393(a,2)),flip(a)]. 8579 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(8577(a,1),6226(a,1,1,2))]. 8580 L(x,y,x) \ (x * z) = z * a(x,y,x). [para(8576(a,1),1062(a,2))]. 8581 K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). [para(8576(a,1),4627(a,1,2))]. 8582 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [para(8576(a,1),7274(a,2))]. 8583 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(8580(a,1),14(a,1,2))]. 8584 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(16(a,1),8583(a,1,2)),flip(a)]. 8585 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(17,a,1064,a,b,8584,a),flip(a)]. 8586 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [para(8585(a,1),7217(a,1,2))]. 8587 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7527(a,1),8573(a,1,2))]. 8588 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(8582(a,2),19(a,1))]. 8589 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(8582(a,1),4582(a,1,2))]. 8590 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). [para(351(a,1),8462(a,1,2,2)),flip(a)]. 8591 T(T(x,y) * z,K(x,u)) = T(x,y) * T(z,K(x,u)). [para(8464(a,1),7212(a,1))]. 8592 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [para(8591(a,1),6769(a,1))]. 8593 T(x / y,z) * T(y,K(x / y,z)) = x * K(x / y,z). [para(16(a,1),8592(a,2,1))]. 8594 T(1 / R(x,y,z),x) = R(x,y,z) \ 1. [para(8475(a,1),1867(a,1))]. 8595 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [para(8493(a,1),6184(a,1)),flip(a)]. 8596 K(K(x \ y,x) * z,y) = K(z,y). [para(13(a,1),8595(a,1,1)),flip(a)]. 8599 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(8596(a,1),4597(a,2,2)),flip(a)]. 8600 T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). [para(8528(a,2),4702(a,2)),flip(a)]. 8601 T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). [para(8600(a,1),7995(a,1))]. 8602 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [hyper(4657,a,8601,a)]. 8603 K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). [para(13(a,1),8602(a,1,2,2)),flip(a)]. 8604 K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). [para(8603(a,1),7985(a,2))]. 8605 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [para(8544(a,2),7378(a,1))]. 8606 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [para(8549(a,1),4963(a,1,2)),flip(a)]. 8607 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(8549(a,1),6482(a,1,1,2)),flip(a)]. 8608 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(8564(a,1),4912(a,1,2))]. 8609 T(x / y,z) * T(y,K(z,x / y)) = x * K(x / y,z). [para(7431(a,1),8593(a,1,2))]. 8610 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [para(8599(a,1),5779(a,1))]. 8611 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(4749(a,1),8610(a,2,1))]. 8612 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(5304(a,1),8608(a,1,2,1,2,2)),flip(a)]. 8613 K(x,T(y * (z * K(u,x)),w)) = ((w * x) / w) / ((w * (x * K(y * z,x))) / w). [para(7151(a,1),8608(a,1,2,1,2,2)),flip(a)]. 8614 T(x / y,z) * T(y,K(x,z)) = x * K(x / y,z). [para(7638(a,1),8609(a,1,2))]. 8615 T(x / y,z) * T(y,K(x,z)) != x * u | K(x / y,z) = u. [para(8614(a,2),19(a,1))]. 8616 T(x / T(y,x),z) * T(T(y,x),K(x,z)) = x * K(T(x,y) / y,z). [para(3898(a,2),8614(a,2,2,1))]. 8617 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(6535(a,2),6560(a,1,1))]. 8618 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). [para(5379(a,1),6710(a,1,2,1))]. 8619 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [para(6993(a,2),6573(a,1))]. 8620 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [para(7071(a,2),4598(a,1))]. 8621 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(6567(a,1),8620(a,1,2))]. 8622 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(5441(a,1),8621(a,1,2,1))]. 8624 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(7126(a,1),7091(a,2,2))]. 8625 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [para(8624(a,2),5232(a,1))]. 8627 a(x,y * K(x,z),x) = x \ R(x,y,x). [para(8625(a,1),8393(a,1)),flip(a)]. 8628 a(x,y * K(x,z),x) = a(x,y,x). [para(8627(a,2),8393(a,1))]. 8629 a(x,y \ T(z,x),x) = a(x,y \ z,x). [para(6818(a,1),8628(a,1,2)),flip(a)]. 8630 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [para(7197(a,1),30(a,2)),flip(a)]. 8631 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(7411(a,1),8630(a,1,3)),flip(a)]. 8632 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [para(8631(a,2),7677(a,1))]. 8634 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8156(a,1),8632(a,1,2))]. 8635 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(5084(a,1),7268(a,1,2))]. 8636 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(7335(a,1),7351(a,1,1)),flip(a)]. 8637 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(6537(a,1),7532(a,1,1,2)),flip(a)]. 8638 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [para(7805(a,1),424(a,1))]. 8639 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(8638(a,2),5701(a,1,2))]. 8640 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [para(7880(a,1),7491(a,1))]. 8641 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(653(a,1),7978(a,1,2))]. 8642 K(x,a(K(x,y),z,u)) = 1. [para(8641(a,1),5253(a,1))]. 8643 T(x,a(K(x,y),z,u)) = x. [hyper(37,a,8642,a)]. 8645 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(35,a,8643,a)]. 8646 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(8643(a,1),38(a,1,1)),flip(a)]. 8647 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(8643(a,1),109(a,1,2))]. 8648 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(8643(a,1),6567(a,1,2,1)),flip(a)]. 8649 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(8645(a,1),6567(a,1,2,1)),flip(a)]. 8650 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [para(8026(a,2),4339(a,1))]. 8651 x * (y * K(z,K(x * y,u))) = T(x * y,K(z,L(u,y,x))). [para(8088(a,1),7376(a,1))]. 8652 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(8101(a,1),8160(a,1)),flip(a)]. 8653 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [para(8198(a,1),1720(a,1)),flip(a)]. 8654 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [para(8198(a,1),8386(a,2))]. 8655 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [para(8199(a,1),1720(a,1)),flip(a)]. 8656 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [para(8199(a,1),8386(a,2))]. 8657 (x / (K(y,z) * L(K(z,y),u,w))) * K(y,z) = x * L(K(y,z),u,w). [para(8237(a,1),258(a,1)),flip(a)]. 8658 K(L(x,y,z) \ 1,x) * K(x,x \ 1) = a(z,K(x,x \ 1),y). [para(8238(a,1),4294(a,1,1))]. 8659 (x * (y * T(z,u))) * K(u,L(z,y,x)) = x * (y * z). [para(6100(a,1),8241(a,1,2))]. 8660 (x * (y * T(z,u))) \ (x * (y * z)) = K(u,L(z,y,x)). [hyper(71,a,8659,a)]. 8661 (x * (y * T(T(z,y),u))) \ (x * (z * y)) = K(u,L(T(z,y),y,x)). [para(109(a,1),8660(a,1,2,2))]. 8662 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(332(a,1),8359(a,2,2))]. 8663 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [para(8454(a,1),7477(a,1)),flip(a)]. 8664 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(4240,a,8460,a),flip(a)]. 8665 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(8485(a,1),8460(a,2,2))]. 8666 L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). [para(8664(a,2),2576(a,1,1))]. 8667 K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). [para(8664(a,2),4297(a,2))]. 8669 K(L(x,y,z) \ 1,L(x,u,w)) = K(L(x,y,z) \ 1,x). [para(8666(a,1),5440(a,1)),flip(a)]. 8670 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [para(8669(a,2),8667(a,1))]. 8671 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(8670(a,1),2605(a,1,1))]. 8672 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(8670(a,1),2681(a,1,1))]. 8673 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [para(8670(a,2),4800(a,1,1))]. 8675 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [para(8617(a,1),5815(a,1)),flip(a)]. 8676 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [para(8675(a,2),7910(a,1))]. 8677 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(13(a,1),8676(a,1,2,1,1)),flip(a)]. 8678 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(3828(a,1),8677(a,1,2,1)),flip(a)]. 8679 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(3938(a,2),8677(a,1,2,1)),flip(a)]. 8680 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [para(8619(a,1),8213(a,1)),flip(a)]. 8681 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(16(a,1),8680(a,1,2,2)),flip(a)]. 8683 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [para(8681(a,1),8346(a,1)),flip(a)]. 8684 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(13(a,1),8683(a,1,2,2)),flip(a)]. 8685 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(128(a,1),8683(a,1,2,2)),flip(a)]. 8687 K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). [para(8684(a,1),7537(a,1))]. 8688 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [para(8684(a,2),7355(a,2)),flip(a)]. 8689 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(7606,a,8688,a)]. 8690 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(14(a,1),8689(a,1,2,2)),flip(a)]. 8691 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(104(a,1),8689(a,1,2,2))]. 8692 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [para(8690(a,1),7737(a,1)),flip(a)]. 8693 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(61(a,1),8692(a,1,2,2)),flip(a)]. 8694 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [para(8693(a,1),7736(a,1))]. 8695 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [para(8691(a,1),7374(a,1)),flip(a)]. 8696 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(7471,a,8635,a)]. 8697 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [para(8640(a,1),8205(a,1)),flip(a)]. 8698 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),8697(a,1,2,2)),flip(a)]. 8700 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [para(8697(a,1),8195(a,1)),flip(a)]. 8701 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [para(8698(a,1),8194(a,2))]. 8702 K(x,T(y,z * L(x,u,w))) = K(x,T(y,z)). [para(15(a,1),8701(a,1,2,2)),flip(a)]. 8703 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(386(a,1),8701(a,1,2,2))]. 8705 K(x,T(y / (z * L(x,u,w)),z)) = K(x,(z * L(x,u,w)) \ y). [para(111(a,1),8702(a,1,2)),flip(a)]. 8706 K(x,T(y,z * (y * x))) = K(x,T(y,z)). [para(8700(a,2),6530(a,1))]. 8707 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [para(8700(a,1),7244(a,1)),flip(a)]. 8709 K(x \ y,T(x,z * y)) = K(x \ y,T(x,z)). [para(14(a,1),8706(a,1,2,2,2))]. 8710 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(14(a,1),8707(a,1,2,2,2)),flip(a)]. 8711 K(x \ y,T(x,z * K(y,z))) = K(x \ y,T(x,y * z)). [para(4614(a,1),8709(a,1,2,2)),flip(a)]. 8712 K(x,T((y * (x \ z)) \ u,y * z)) = K(x,u / (y * (x \ z))). [para(8710(a,1),7481(a,1))]. 8713 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [para(8711(a,1),7209(a,1))]. 8714 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(16(a,1),8713(a,1,2,2)),flip(a)]. 8715 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(14(a,1),8650(a,1,2,2)),flip(a)]. 8716 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,L(u,y,x))). [para(7395(a,1),8651(a,1,2,2))]. 8717 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [para(8663(a,2),6632(a,1)),flip(a)]. 8718 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(61(a,1),8717(a,1,1,1)),flip(a)]. 8719 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(15(a,1),8718(a,1,1,2)),flip(a)]. 8721 K(R(x,y,z),y) = K(x,R(y,x,z)). [para(8719(a,1),6365(a,1))]. 8722 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(7121(a,1),8719(a,1,1))]. 8723 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [para(8721(a,2),4597(a,2,2)),flip(a)]. 8724 (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(4400(a,2),8665(a,2,2))]. 8725 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(4815,a,8673,a)]. 8726 K(L(x,y,z),L(x,u,w) \ 1) = K(x,x \ 1). [para(261(a,1),8725(a,2,1))]. 8727 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [para(8726(a,1),1236(a,1,2))]. 8728 x * (L(x,y,z) \ (1 / x)) = 1 / L(x,y,z). [para(8727(a,1),1247(a,1)),flip(a)]. 8729 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(71,a,8728,a),flip(a)]. 8730 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(z,K(x,T(y,u))). [para(6554(a,2),7921(a,1))]. 8731 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [para(6604(a,2),6573(a,1))]. 8732 R(K(x,y),T(T(y,z),u),w) = K(x,y). [hyper(4437,a,6657,a)]. 8733 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(z,x) \ u. [para(8732(a,1),544(a,1,1)),flip(a)]. 8734 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [para(6663(a,1),7914(a,1)),flip(a)]. 8735 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [para(8734(a,1),7419(a,1))]. 8736 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(61(a,1),6883(a,1,1,1,2,1))]. 8737 K(x,(y \ K(x,z)) \ u) = (y \ T(y * u,x)) \ u. [para(7022(a,1),6815(a,1,1)),flip(a)]. 8738 K(x,(y \ K(x,z)) \ u) = K(x,(y \ 1) \ u). [para(8737(a,2),6816(a,1))]. 8739 K(x,((y \ 1) \ K(x,z)) \ u) = K(x,y \ u). [para(8738(a,2),5082(a,1))]. 8740 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). [para(7023(a,2),307(a,1))]. 8741 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(7340,a,7041,a)]. 8742 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(8741(a,1),6793(a,1,1,2)),flip(a)]. 8743 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [para(8742(a,2),4675(a,1))]. 8744 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(14(a,1),8743(a,1,1,1)),flip(a)]. 8745 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(8744(a,1),4702(a,2,2,2)),flip(a)]. 8746 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [para(8745(a,1),4702(a,2)),flip(a)]. 8747 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [para(8746(a,1),8027(a,2))]. 8748 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(4875(a,1),7069(a,1,2))]. 8749 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(4875(a,1),8748(a,2,2))]. 8750 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(8749(a,1),327(a,1,2)),flip(a)]. 8751 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(3861(a,1),8750(a,1,2,1))]. 8752 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(3861(a,1),8751(a,2,2,2))]. 8753 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(8752(a,1),3895(a,1,1))]. 8754 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [para(7075(a,1),5802(a,1)),flip(a)]. 8755 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(7139(a,1),5047(a,1)),flip(a)]. 8756 (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. [para(4776(a,1),7200(a,1,2,2))]. 8758 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [para(7202(a,2),5962(a,1))]. 8759 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [para(8758(a,2),6753(a,2)),flip(a)]. 8760 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(13(a,1),8759(a,2,2))]. 8761 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). [para(469(a,1),7232(a,1,1,2,1)),flip(a)]. 8762 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [para(7266(a,1),6840(a,1))]. 8763 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(7484(a,1),7564(a,1,1)),flip(a)]. 8764 K(1 / x,y) / (x \ 1) = x * K(1 / x,y). [para(59(a,1),8763(a,1,1)),flip(a)]. 8765 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [para(8764(a,1),5583(a,1)),flip(a)]. 8766 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(4739(a,1),8765(a,1,2))]. 8767 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(5305(a,1),8766(a,2,2))]. 8768 K((x \ y) \ ((x \ y) * z),x) = K(z,(x \ T(y,x)) \ y). [para(7575(a,1),6651(a,1)),flip(a)]. 8769 K(x,(y \ T(z,y)) \ z) = K(x,y). [para(13(a,1),8768(a,1,1)),flip(a)]. 8771 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(7577(a,1),6476(a,1)),flip(a)]. 8772 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(5789(a,2),8771(a,1,2,1))]. 8773 x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). [para(4755(a,1),7583(a,1,2,2))]. 8774 T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). [para(8773(a,1),61(a,1,1))]. 8776 T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). [para(4572(a,2),8774(a,1,1,1))]. 8777 T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). [para(8776(a,2),1720(a,2)),flip(a)]. 8778 K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. [para(1422(a,1),8777(a,1,1)),flip(a)]. 8779 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [hyper(17,a,7957,a,b,7607,a)]. 8780 T(K(x,y) * T(z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(6703(a,1),7634(a,1,1,2))]. 8781 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(6794(a,1),7634(a,1,1,2)),flip(a)]. 8782 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [para(7663(a,1),8301(a,1))]. 8783 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(4547(a,1),8782(a,1,2,2)),flip(a)]. 8784 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(6537(a,1),8782(a,1,2,2))]. 8786 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [para(8783(a,1),6366(a,2))]. 8787 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(14(a,1),8786(a,1,2))]. 8788 R(K(x,y),z * (y * K(u,x)),w) = K(x,R(y * K(u,x),z,w)). [para(7096(a,1),8786(a,1,1))]. 8789 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(8784(a,1),6793(a,1,1,2)),flip(a)]. 8790 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(3467(a,1),8787(a,2,2))]. 8791 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [para(8789(a,2),4675(a,1))]. 8792 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(4907(a,1),8791(a,1,1,2)),flip(a)]. 8793 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [para(8791(a,1),6227(a,1)),flip(a)]. 8794 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [para(8793(a,2),6224(a,1))]. 8796 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(4593(a,1),8794(a,1,2))]. 8798 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(8796(a,1),6351(a,1,1))]. 8799 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(8798(a,1),20(a,1)),flip(a)]. 8800 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [para(7665(a,1),7542(a,1))]. 8802 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [para(7934(a,2),5342(a,1))]. 8803 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [para(8802(a,1),4855(a,1,2))]. 8804 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(17,a,7953,a,b,7940,a)]. 8805 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(987(a,1),8804(a,1,2,2))]. 8806 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [para(8804(a,2),7374(a,1))]. 8807 K(x,K(T(y,z),u \ (y * z))) = K(T(y,z),K(x,u \ z)). [para(109(a,1),8806(a,1,2,2,2))]. 8808 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [para(8806(a,1),7374(a,1)),flip(a)]. 8809 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(8808(a,1),7739(a,1,2)),flip(a)]. 8810 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [para(8808(a,1),8735(a,2))]. 8811 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [para(8810(a,1),7679(a,1)),flip(a)]. 8812 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(8811(a,1),7355(a,1,2))]. 8813 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [para(8811(a,1),7737(a,1)),flip(a)]. 8814 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [para(8813(a,1),8605(a,2))]. 8815 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [para(8814(a,1),7378(a,2))]. 8816 K(x,K(y,T(z \ (y * u),u))) = K(T(y,u),K(x,z \ u)). [para(6573(a,1),8807(a,1,2))]. 8817 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [para(8812(a,1),7355(a,1))]. 8818 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [para(8817(a,1),8520(a,1)),flip(a)]. 8819 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(14(a,1),8818(a,1,2,2,2)),flip(a)]. 8820 K(T(x,y),K(z,u \ y)) = K(z,K(x,(x * y) / u)). [para(7594(a,1),8816(a,1,2)),flip(a)]. 8821 K(T(x,y),K(z,u \ y)) = K(x,K(z,(x * y) / u)). [para(8820(a,2),7374(a,1))]. 8822 K(x,K(T(y,z),u \ z)) = K(y,K(x,(y * z) / u)). [para(8821(a,1),7374(a,1)),flip(a)]. 8823 K(x,K(y,(x * z) / u)) = K(y,K(x,z / u)). [para(7513(a,1),8822(a,1,2)),flip(a)]. 8824 K(x,K(y,(x * z) / u)) = K(x,K(y,z / u)). [para(8823(a,2),7374(a,1))]. 8825 (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(8019(a,1),5193(a,1,2,1))]. 8826 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [para(8044(a,1),7006(a,1))]. 8827 T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). [para(8065(a,2),8063(a,1))]. 8828 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(14(a,1),8827(a,1,2,1,1)),flip(a)]. 8829 T(x,T(y \ z,u) \ 1) = T(x,T(z \ y,u)). [para(8828(a,1),6625(a,2))]. 8830 T(x,((y \ z) * u) \ u) = T(x,T(z \ y,u)). [para(8828(a,1),6752(a,1)),flip(a)]. 8831 T(x,T(y \ (y / z),u)) = T(x,T(z,u) \ 1). [para(61(a,1),8829(a,1,2,1,1)),flip(a)]. 8832 T(x,T(y \ (y / z),u)) = T(x,w \ (w / T(z,u))). [para(8831(a,2),5943(a,2)),flip(a)]. 8833 T(x,T((y * z) \ y,u)) = T(x,w \ (w / T(z,u))). [para(15(a,1),8832(a,1,2,1,2))]. 8834 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [para(8076(a,1),7620(a,1))]. 8835 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [para(8834(a,1),7838(a,1))]. 8836 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [para(8083(a,2),7714(a,1))]. 8837 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(61(a,1),8836(a,1,2,2,1,2))]. 8838 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [para(8837(a,1),5084(a,1)),flip(a)]. 8839 T(x,y) \ (x * (x * T(z,T(x,y)))) = ((z / T(x,y)) * x) * x. [para(940(a,1),8173(a,2,1))]. 8840 T((x \ y) * x,((z \ y) * z) \ u) = T((x \ y) * x,y \ u). [para(8246(a,2),4378(a,2)),flip(a)]. 8841 (x / T(y,z)) * T(T(y,z),u) = (x / y) * T(y,T(u,z)). [para(8257(a,1),7948(a,1))]. 8842 K(x,y / (z * (K(u,x) / z))) = K(x,y * K(z \ K(u,x),z)). [para(6792(a,1),8325(a,1,2)),flip(a)]. 8843 T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). [para(111(a,1),8351(a,2,2,2))]. 8844 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). [para(8351(a,1),7616(a,1)),flip(a)]. 8845 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). [para(8843(a,1),7779(a,1)),flip(a)]. 8846 T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). [para(8844(a,1),8845(a,1))]. 8847 T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). [para(8846(a,1),8350(a,1)),flip(a)]. 8848 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(59(a,1),8847(a,1,2,1,2)),flip(a)]. 8849 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [para(8848(a,1),7950(a,1))]. 8850 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [para(8849(a,1),7924(a,2))]. 8851 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(8404(a,1),8421(a,1,1)),flip(a)]. 8852 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [para(8450(a,2),1866(a,1))]. 8853 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(4872(a,1),8852(a,1,2))]. 8854 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(6466(a,1),8853(a,1,2)),flip(a)]. 8855 (T(x,y) / T(R(x,z,x),u)) * K(x \ L(T(x,y),z,x),R(x,z,x)) = T(T(x,y) / T(R(x,z,x),u),R(x,z,x)). [para(8854(a,1),7053(a,1,2,1))]. 8856 T(T(x,y) / T(R(x,z,x),u),R(x,z,x)) = (x \ L(T(x,y),z,x)) * K(u,R(x,z,x)). [para(8854(a,1),8522(a,2,1))]. 8857 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [para(8466(a,1),8196(a,1))]. 8858 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(8550(a,1),8470(a,2,2))]. 8859 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [para(8858(a,2),8069(a,2))]. 8860 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [para(8859(a,1),8082(a,1))]. 8861 T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). [para(8860(a,1),8158(a,2))]. 8862 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(110(a,1),8861(a,1,2,1))]. 8863 T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). [para(8480(a,1),8862(a,1,2,1,1))]. 8864 K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). [para(8492(a,2),5507(a,1))]. 8865 K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). [para(348(a,1),8864(a,1,1)),flip(a)]. 8866 K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). [para(8865(a,1),5045(a,1))]. 8867 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(8524(a,1),5471(a,1,2)),flip(a)]. 8868 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(4511(a,1),8533(a,2,1)),flip(a)]. 8869 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(7716(a,1),8552(a,1,1,1)),flip(a)]. 8870 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8286(a,1),8869(a,2,1))]. 8871 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [para(8870(a,2),4609(a,2)),flip(a)]. 8872 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [para(8871(a,1),7765(a,1))]. 8873 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [para(8872(a,1),8563(a,1))]. 8874 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(465(a,1),8873(a,1,2,2)),flip(a)]. 8875 T(x,K(y,R(z \ 1,u,w))) = T(x,K(z,R(y,u,w))). [para(8873(a,1),7767(a,1))]. 8876 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(4749(a,1),8611(a,1,1,1))]. 8877 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(5733,a,8876,a),flip(a)]. 8878 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(8877(a,2),156(a,1,2,2))]. 8879 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(8877(a,2),339(a,2,2))]. 8880 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(6535(a,2),8634(a,1,2))]. 8881 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(8639(a,1),109(a,1)),flip(a)]. 8882 L(K(x,y),z,x \ 1) = K(x,y). [hyper(329,a,8881,a)]. 8884 ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). [para(8881(a,1),6793(a,1,1))]. 8885 L(K(x \ 1,y),z,x) = K(x \ 1,y). [para(8882(a,1),3400(a,1)),flip(a)]. 8886 ((1 / x) * y) * K(x,z) = (1 / x) * (y * K(x,z)). [para(8882(a,1),3401(a,1,2))]. 8887 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(8885(a,1),95(a,1,2))]. 8888 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [para(8885(a,1),5440(a,1)),flip(a)]. 8889 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(4152(a,1),8888(a,1,1,1)),flip(a)]. 8890 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(8889(a,1),5457(a,1,1)),flip(a)]. 8891 L(K(x,y),z,y \ 1) = K(x,y). [para(8884(a,1),8233(a,1)),flip(a)]. 8893 K(L(x,y,z \ 1),z) = K(x,z). [para(8891(a,1),6096(a,1)),flip(a)]. 8894 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [para(8891(a,1),6088(a,1)),flip(a)]. 8895 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [para(8893(a,1),7569(a,1)),flip(a)]. 8896 (1 / x) * ((x * y) * K(x,z)) = L(y,x,1 / x) * K(x,z). [para(171(a,1),8886(a,1,1)),flip(a)]. 8897 R(x,y,K(x \ 1,z)) = x. [hyper(361,a,8887,a)]. 8899 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(8897(a,1),42(a,2,1))]. 8901 T(x,y * K(x \ 1,z)) = T(x,y). [para(8899(a,1),5537(a,1))]. 8902 K(x,y * K(x \ 1,z)) = x \ T(x,y). [para(8901(a,1),4571(a,2,2))]. 8903 T(x,K(x \ 1,y) * z) = T(x,z). [para(6537(a,1),8901(a,1,2))]. 8905 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(6999(a,1),8901(a,1,2))]. 8907 T(x \ 1,K(x,y) * z) = T(x \ 1,z). [para(2889(a,1),8903(a,1,2,1))]. 8908 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(5339(a,1),8903(a,1,2)),flip(a)]. 8909 K(x,y * K(x \ 1,z)) = K(x,y). [para(8902(a,2),4571(a,2)),flip(a)]. 8910 K(x,K(x \ 1,y) * z) = K(x,z). [para(6537(a,1),8909(a,1,2))]. 8911 K(x,y * K(z,x \ 1)) = K(x,y). [para(6794(a,1),8909(a,1,2)),flip(a)]. 8912 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(6999(a,1),8909(a,1,2))]. 8913 K(x,y * K(z,x \ 1)) \ 1 = K(y,x). [para(8911(a,2),4796(a,1,1))]. 8914 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(5962(a,1),8911(a,1,2,2))]. 8915 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). [para(8907(a,1),628(a,1,2,2)),flip(a)]. 8917 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). [para(8912(a,1),6106(a,1,1))]. 8918 K(x * K(y,z \ 1),z) = K(x,z). [para(8913(a,1),4796(a,1)),flip(a)]. 8919 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(1091(a,1),8918(a,1,1))]. 8920 K(K(x,y \ 1) * z,y) = K(z,y). [para(6567(a,1),8918(a,1,1))]. 8921 K(x * K(y \ 1,z),y) = K(x,y). [para(6794(a,1),8918(a,1,1)),flip(a)]. 8923 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(4870(a,1),8920(a,1,1)),flip(a)]. 8924 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(4952(a,1),8920(a,1,1,1))]. 8926 K(x * K(y \ z,u),z \ y) = K(x,z \ y). [para(5861(a,1),8921(a,1,1,2))]. 8927 K(x \ y,y * (x / y)) = K(x \ y,x). [para(4792(a,1),8914(a,1,2))]. 8928 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(6819(a,1),8914(a,1,2))]. 8929 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5339(a,1),8924(a,1,1)),flip(a)]. 8930 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(6055(a,1),8926(a,1,1)),flip(a)]. 8931 L(x,y,K(x \ 1,z)) = x. [hyper(329,a,8890,a)]. 8932 L(x \ 1,y,K(x,z)) = x \ 1. [para(2889(a,1),8931(a,1,3))]. 8933 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [para(8932(a,1),95(a,1,2))]. 8934 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(8932(a,1),621(a,1,1)),flip(a)]. 8938 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(8928(a,2),5887(a,2,2))]. 8939 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(8930(a,2),5991(a,2,2))]. 8940 R(K(x,y),z,x \ 1) = K(x,y). [hyper(361,a,8933,a)]. 8941 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [para(8933(a,1),109(a,2))]. 8942 K(x,R(y,z,x \ 1)) = K(x,y). [para(8940(a,1),6365(a,1)),flip(a)]. 8943 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(8942(a,1),4597(a,2,2))]. 8944 T(x,R(y,z,x \ 1)) = T(x,y). [para(8943(a,2),4597(a,2)),flip(a)]. 8945 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(543(a,1),8944(a,1,2))]. 8946 (1 / x) * (x * (y * K(x,z))) = L(y,x,1 / x) * K(x,z). [para(6444(a,1),8896(a,1,2))]. 8947 (x \ 1) \ K(L(x,y,z) \ 1,x) = x * a(z,K(x,x \ 1),y). [para(8658(a,1),2920(a,1,2)),flip(a)]. 8948 K(T(x / (y * L(z,u,w)),y),z) = (K(z,(y * L(z,u,w)) \ x) \ v5) / v5. [para(8705(a,1),4908(a,1,1,1)),flip(a)]. 8949 K(x,T(T(T(x,y) * z,u),w)) = T(T(x * K(z * T(x,v5),x),w),u) \ T(T(x,w),u). [para(7146(a,1),8731(a,1,1,1,1,2)),flip(a)]. 8950 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(x,z) * u. [para(8733(a,2),4906(a,1))]. 8951 K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). [para(13(a,1),8740(a,1,2,2,1,2))]. 8952 L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). [para(8754(a,1),335(a,1,2))]. 8953 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [para(8755(a,2),5043(a,1))]. 8954 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [para(8803(a,2),8762(a,1))]. 8955 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,R(z,u,w) \ z)). [para(8805(a,2),7737(a,1))]. 8956 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [para(8809(a,2),7353(a,1))]. 8957 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [para(8956(a,1),7856(a,1)),flip(a)]. 8958 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(16(a,1),8957(a,1,2,2)),flip(a)]. 8959 L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). [para(8958(a,1),4598(a,1,2,1))]. 8960 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [para(8835(a,1),8337(a,1)),flip(a)]. 8961 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [para(8960(a,1),6535(a,2))]. 8962 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [para(8961(a,2),7909(a,1))]. 8963 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(8962(a,2),6398(a,1))]. 8964 x / T((y \ z) * y,z \ x) = ((y \ z) * y) \ x. [para(8840(a,1),176(a,1,2))]. 8965 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / (z * (K(u,x) / ((z \ 1) \ 1)))). [para(8842(a,1),5334(a,1))]. 8966 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). [para(464(a,1),8866(a,1,2)),flip(a)]. 8967 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [para(8867(a,2),4912(a,1))]. 8969 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [para(8967(a,1),5610(a,1)),flip(a)]. 8970 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [para(8969(a,1),7912(a,2))]. 8971 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(16(a,1),8970(a,1,2,2,1)),flip(a)]. 8972 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4017(a,1),8970(a,1,2,2,1))]. 8973 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(17,a,5696,a,b,8941,a)]. 8974 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(40(a,2),8973(a,2,2))]. 8975 T(T(x,K(y,x)),z * x) * ((T(x,x * z) * K(y,x)) \ u) = K(x,y) * u. [para(3981(a,1),8950(a,1,1))]. 8976 ((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y). [para(5059(a,1),8951(a,1,2)),flip(a)]. 8977 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(6535(a,2),6562(a,1,1))]. 8978 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(42(a,2),6564(a,1,1))]. 8979 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [para(6678(a,1),8934(a,1))]. 8980 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(7469(a,1),8979(a,1,3))]. 8982 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [para(8980(a,1),6150(a,1)),flip(a)]. 8983 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(8982(a,1),1888(a,1,1,2))]. 8984 L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). [para(8982(a,1),3255(a,1,1))]. 8989 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [para(6775(a,1),4598(a,1))]. 8990 K(T(x,y \ z),L(y,u,w)) = 1 / K(L(y,u,w),T(x,z)). [para(8989(a,1),4801(a,1,2)),flip(a)]. 8991 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [para(8989(a,1),6990(a,2))]. 8992 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(8991(a,1),6850(a,1,1,2)),flip(a)]. 8993 K(T(x,y \ z),L(y,u,w)) = K(T(x,z),L(y,u,w)). [para(8990(a,2),4801(a,1))]. 8994 K(T(x,y \ z),L(y,u,w)) = K(x,T(L(y,u,w),z)). [para(8993(a,2),6573(a,1))]. 8995 K(T(x,y \ z),L(y,u,w)) = K(x,L(T(y,z),u,w)). [para(40(a,2),8994(a,2,2))]. 8996 K(x,T(L(y,z,u),y \ w)) = K(x,L(T(y,w),z,u)). [para(8995(a,1),6573(a,1)),flip(a)]. 8997 K(x,L(T(y,y \ z),u,w)) = K(x,L(T(y,z),u,w)). [para(40(a,2),8996(a,1,2))]. 8998 K(x,L(T(y,y * z),u,w)) = K(x,L(T(y,z),u,w)). [para(13(a,1),8997(a,1,2,1,2)),flip(a)]. 8999 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(T(y * K(z,y),z),u,w)). [para(4645(a,1),8998(a,1,2,1))]. 9000 K(x,T(y * ((1 / y) * z),z * u)) = K(x,L(T(z,u),y \ 1,y)). [para(8998(a,1),5409(a,2))]. 9001 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(8369(a,1),6829(a,1,2)),flip(a)]. 9002 (x * y) \ ((T(x,z) * y) * x) = T(x,T(z,y)). [para(6874(a,1),5796(a,1))]. 9004 (x * y) \ ((T(x,z \ (u * x)) * y) * x) = T(x,T((u \ z) \ x,y)). [para(6119(a,1),9002(a,1,2,1,1))]. 9005 a(x,y * K(x,z),x) = a(x,y,T(x,z)). [para(6983(a,1),24(a,2)),flip(a)]. 9006 a(x,y,T(x,z)) = a(x,y,x). [para(9005(a,1),8628(a,1))]. 9007 x * a(x,y,T(x,z)) = R(x,y,x). [para(9006(a,2),8394(a,1,2))]. 9009 x * (y * a(y,x,T(y,z))) = T(y * x,y). [para(9007(a,2),3962(a,1,2))]. 9010 x * ((y * a(y,x,T(y,z))) * L((y * a(y,x,T(y,z))) \ (x \ u),w,v5)) = T(y * x,y) * L((x * (y * a(y,x,T(y,z)))) \ u,w,v5). [para(9009(a,1),749(a,1,1)),flip(a)]. 9011 K(R((x * y) / x,z,u),T(w,y * x)) = K(L(R(y,z,u),x,y),w). [para(44(a,1),6992(a,2,1))]. 9012 K(x,x \ (T(x / y,K(y,z)) * (y * u))) = K(x,L(u,y,T(x,K(y,z)) / y)). [para(7799(a,1),7114(a,1,2,2,1))]. 9013 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [para(7137(a,2),5265(a,1))]. 9014 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(6794(a,1),9013(a,1,2)),flip(a)]. 9015 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(7498(a,1),7780(a,1,2))]. 9016 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(6535(a,2),7531(a,1,1))]. 9017 K(x,K(y,T(z \ (x * u),x \ z))) = K(x,K(y,u / (x \ z))). [para(7562(a,1),6473(a,1,2))]. 9018 K(x,K(y,T(z \ (x * u),z))) = K(x,K(y,u / (x \ z))). [para(9017(a,1),8259(a,1)),flip(a)]. 9019 K(x,K(y,(x * z) / u)) = K(x,K(y,z / (x \ u))). [para(7481(a,1),9018(a,1,2))]. 9020 K(x,K(y,z / (x \ u))) = K(x,K(y,z / u)). [para(9019(a,1),8824(a,1))]. 9021 K(x,K(y,z / (x * u))) = K(x,K(y,z / u)). [para(13(a,1),9020(a,1,2,2,2)),flip(a)]. 9022 L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)). [para(7573(a,2),7485(a,1))]. 9023 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [para(9022(a,1),7297(a,1))]. 9024 K(x * ((y \ z) \ 1),T((y \ z) \ 1,u)) = K(((y \ z) \ 1) * x,T(z \ y,u)). [para(9023(a,1),5599(a,2))]. 9026 R(K(x,y),z,u) * R(T(K(y,x),w),z,u) = K(w,R(K(y,x),z,u)). [para(7628(a,1),6347(a,1)),flip(a)]. 9027 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [para(8001(a,2),7972(a,2)),flip(a)]. 9028 K(x,y) * K(y,L(y,z,u) * x) = y \ L(y,x,L(y,z,u)). [para(7875(a,1),8080(a,1,2))]. 9029 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [para(8179(a,2),6528(a,1))]. 9030 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [hyper(18,a,370,a,b,8191,a),flip(a)]. 9031 T(x * R(x \ (x * y),z,u),x) = R(y * a(x,y,x),z,u) * x. [para(8418(a,2),1615(a,2))]. 9032 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(6536(a,1),8637(a,1,1))]. 9033 (x * (T(y,z) * u)) \ (x * (y * u)) = K(z,L(T(y,u),u,x)). [para(160(a,1),8661(a,1,1,2))]. 9034 (x * (T(y,z) * u)) \ (x * (y * u)) = K(z,T(L(y,u,x),u)). [para(40(a,1),9033(a,2,2))]. 9035 K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. [para(8114(a,1),8778(a,1,2))]. 9036 K(L(x,y,z) * u,x) * K(x,u) = L(x,u,L(x,y,z)) \ x. [para(9035(a,1),1720(a,1)),flip(a)]. 9037 K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). [para(8917(a,1),6106(a,1))]. 9038 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(109(a,1),9037(a,1,2,1)),flip(a)]. 9039 K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). [para(144(a,1),9037(a,1,2,1,2)),flip(a)]. 9040 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [para(8977(a,1),3777(a,1))]. 9042 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [para(9040(a,1),7037(a,1))]. 9043 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [para(59(a,1),9042(a,1,2,1,1)),flip(a)]. 9044 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [para(9043(a,1),7173(a,2))]. 9045 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(9043(a,1),7985(a,2))]. 9046 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(59(a,1),9044(a,1,2,1)),flip(a)]. 9047 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [para(9045(a,1),7999(a,1))]. 9048 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [para(9047(a,1),6736(a,1))]. 9049 K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). [para(5602(a,1),9048(a,1,2))]. 9050 K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). [para(9046(a,1),7476(a,1)),flip(a)]. 9051 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [para(9050(a,1),8140(a,1)),flip(a)]. 9052 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(61(a,1),9051(a,2,2))]. 9053 K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2384(a,1),8978(a,2,1,1))]. 9054 K(x,T(y * ((1 / y) * z),z * (y \ 1))) = K(x,y * (z * (y \ 1))). [para(401(a,1),9000(a,2,2))]. 9055 K(R(x,y,z),T(T(u,x * w),w)) = K(L(R(x,y,z),w,x),u). [para(9011(a,1),7568(a,1)),flip(a)]. 9056 K(R(x,y,z),T(T(u,w),x * w)) = K(L(R(x,y,z),w,x),u). [para(38(a,1),9055(a,1,2))]. 9057 K(R(x,y,z),T(T(u,w),w)) = K(L(R(x,y,z),w,x),u). [para(9056(a,1),8227(a,1)),flip(a)]. 9058 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [para(9057(a,1),7477(a,1))]. 9059 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(44(a,2),9058(a,1,1))]. 9061 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(9059(a,1),8579(a,1))]. 9062 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [para(9061(a,2),6459(a,1))]. 9064 R(K(x,y),a(x,z,x),u) = K(x,y). [para(9062(a,1),6224(a,1)),flip(a)]. 9066 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(9064(a,1),104(a,1,1)),flip(a)]. 9067 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [para(8414(a,1),9066(a,1,1)),flip(a)]. 9068 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [hyper(4928,a,9067,a)]. 9069 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [para(14(a,1),9067(a,1,2)),flip(a)]. 9070 K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. [para(9067(a,1),19(a,1)),flip(a)]. 9071 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5189(a,2),9068(a,1,1))]. 9072 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [hyper(4928,a,9069,a)]. 9074 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(4980(a,1),9071(a,1,2))]. 9075 K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. [para(5131(a,2),9072(a,1,2,1))]. 9076 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(9016(a,1),6348(a,1,1)),flip(a)]. 9077 R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). [hyper(71,a,9026,a)]. 9078 L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(1805(a,2),9027(a,2,2,1,2))]. 9079 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [para(9027(a,2),2889(a,2)),flip(a)]. 9080 R(x * a(y,x,y),z,u) * y = T(y * R(x,z,u),y). [para(13(a,1),9031(a,1,1,2,1)),flip(a)]. 9081 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(8713(a,1),9032(a,1,1,1))]. 9082 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(4573(a,1),6714(a,1,1)),flip(a)]. 9083 R(x,y,x * K(z,x)) = R(x,y,x). [para(4573(a,1),9082(a,1,3)),flip(a)]. 9084 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(4618(a,1),9083(a,1,3))]. 9085 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6001(a,1),6721(a,1,1))]. 9086 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z * K(y,x)). [para(6792(a,1),6799(a,2,2))]. 9087 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [para(6968(a,2),7925(a,1))]. 9088 K(x \ y,T(z,T(y,x))) = K(y / x,z). [para(9087(a,1),6735(a,1)),flip(a)]. 9091 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). [para(4827(a,1),6971(a,1,2)),flip(a)]. 9092 K(L(x \ 1,x,y),((z * x) \ z) \ z) = K(x \ 1,z * x). [para(6991(a,2),5894(a,1))]. 9093 K(L(x \ 1,x,y),L(x \ 1,x,z) \ z) = K(x \ 1,z * x). [para(142(a,2),9092(a,1,2,1))]. 9094 T(x / y,T((y * z) \ x,y)) = T(x / y,T(z \ (y \ x),y)). [para(7005(a,1),6648(a,1))]. 9095 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7058(a,1),7064(a,1,2,2)),flip(a)]. 9096 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [para(9095(a,2),5100(a,1))]. 9098 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [para(9096(a,1),5102(a,1))]. 9099 K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). [para(7157(a,2),4549(a,1))]. 9100 K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). [para(6537(a,1),9099(a,1,1))]. 9101 K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). [para(261(a,1),9100(a,1,1,1,1))]. 9102 K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). [para(5162(a,1),9101(a,1,1)),flip(a)]. 9103 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [para(111(a,1),9102(a,1,1,2)),flip(a)]. 9104 (R(x,y,z) * (((u * R(x,y,z)) / u) \ x)) / R(x,y,z) = 1 * (((u * R(x,y,z)) / u) \ x). [para(6401(a,1),7172(a,1,1)),flip(a)]. 9105 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(801(a,1),7238(a,1,2))]. 9106 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(7415(a,1),7399(a,1,1))]. 9107 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(9106(a,1),106(a,1,1,1)),flip(a)]. 9108 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(9106(a,1),4914(a,1,2))]. 9109 T(x / y,K(((x / y) \ (1 / y)) \ 1,z)) = T(x,K(z,y \ x)) / y. [para(5994(a,1),7430(a,2,1))]. 9110 K(x,T(y,z)) / T(z,K(y,x) \ (z \ 1)) = z \ (z / (z * K(y,x))). [para(8027(a,1),7597(a,1,2))]. 9111 K(x,T(y,z)) * ((z * K(y,x)) * u) = K(x,y) * ((K(x,y) \ z) * u). [para(6792(a,1),7601(a,1,2,1))]. 9112 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [para(7703(a,1),7692(a,1)),flip(a)]. 9113 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [para(9112(a,2),3939(a,1))]. 9114 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [para(9113(a,2),2687(a,1))]. 9116 K(x,K(y,z)) * ((K(x,y) * z) \ u) = (z * K(x,y)) \ u. [para(6696(a,1),7785(a,2,1))]. 9117 K(x,y * ((K(x,z) * u) \ w)) = K(x,y * ((u * K(x,z)) \ w)). [para(9116(a,1),7178(a,1,2,2)),flip(a)]. 9118 T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). [para(7792(a,1),8343(a,1)),flip(a)]. 9120 T(x,T(y,z)) \ (T(x,y) * (T(x,T(y,z)) * u)) = T(x,y) * u. [para(7808(a,1),7812(a,1,2,2,1))]. 9121 K(x,y \ K(y,z)) \ K(z,K(x,y \ 1)) = K(y \ 1,x). [para(7915(a,2),6559(a,1))]. 9122 K(x,y \ K(y,z)) * K(y \ 1,x) = K(z,K(x,y \ 1)). [para(9121(a,1),14(a,1,2))]. 9124 K(x,y \ K(y,z)) * K(y \ 1,x) = K(x,K(z,y \ 1)). [para(9122(a,2),7374(a,1))]. 9125 K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). [para(9124(a,1),1720(a,1)),flip(a)]. 9126 K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). [para(9125(a,1),6850(a,1,1))]. 9128 K(x,K(1 / y,z) / (1 / y)) = T(K(T(x,y \ 1),y),z). [para(61(a,1),8054(a,1,1,2)),flip(a)]. 9129 K(x,K(1 / y,z) / (1 / y)) = T(K(x,y),z). [para(6569(a,1),9128(a,2,1))]. 9130 K(x,1 / (K(y,z \ 1) / z)) = T(K(x,z),y). [para(5005(a,1),9129(a,1,2))]. 9131 K(x,y * K(y \ 1,z)) = T(K(x,y),z). [para(9130(a,1),6802(a,1)),flip(a)]. 9132 K(x,y * K(1 / y,z)) = T(K(x,y),z). [para(2888(a,2),9131(a,1,2,2))]. 9133 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / (x * z))). [para(7378(a,1),8077(a,2,2))]. 9134 K(x,T(y,T((x * z) \ u,z))) = K(x,T(y,u / (x * z))). [para(8077(a,2),7386(a,1))]. 9135 K(x \ y,T(y / x,z) * u) = K(x \ y,(x \ y) * u). [para(8152(a,1),7099(a,1))]. 9136 K(x \ y,T(y / x,z) * u) = K(x \ y,u * (x \ y)). [para(9135(a,2),5131(a,2)),flip(a)]. 9138 K(x \ y,(y / x) * z) = K(x \ y,z * (x \ y)). [para(108(a,1),9136(a,1,2,1))]. 9139 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(4512(a,1),8249(a,1,1,2))]. 9140 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [para(8283(a,1),7810(a,1))]. 9141 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [para(9140(a,2),7778(a,1))]. 9142 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(9141(a,1),4637(a,1,1))]. 9143 T(T(x,y),x / z) = T(T(x,y),z \ x). [para(2898(a,1),9142(a,1,1))]. 9144 T(T(x,K(y,z)),y \ z) = T(x,z / y). [para(5378(a,1),9142(a,1,1)),flip(a)]. 9145 T(T(x,K(y,z)),z \ y) = T(x,y / z). [para(7437(a,1),9142(a,1,1)),flip(a)]. 9146 T(T(x,y / z),K(z,y)) = T(x,z \ y). [para(9142(a,1),7432(a,1)),flip(a)]. 9148 T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [para(5082(a,1),9145(a,1,1,2))]. 9149 (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). [para(1724(a,2),8372(a,2,2))]. 9150 (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). [para(1722(a,1),8383(a,2,2))]. 9151 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(7378(a,1),8465(a,1,1,1))]. 9152 T(K(x,y),L(1 / z,u,w)) = T(K(x,y),1 / L(z,u,w)). [para(8474(a,1),8098(a,1)),flip(a)]. 9153 K(x,T(y,L(1 / z,u,w))) = T(K(x,y),1 / L(z,u,w)). [para(9152(a,1),6535(a,2))]. 9154 K(x,T(y,L(1 / z,u,w))) = K(x,T(y,1 / L(z,u,w))). [para(9153(a,2),6535(a,2)),flip(a)]. 9155 K(x,T(y,L(1 / z,u,w))) = K(x,T(y,L(z,u,w))). [para(9154(a,2),7857(a,1))]. 9156 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(329,a,8503,a)]. 9157 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [para(261(a,1),9156(a,1,3))]. 9158 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [para(9156(a,1),9029(a,1)),flip(a)]. 9159 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [para(9157(a,1),6085(a,1))]. 9160 K((x \ 1) * y,T(x \ 1,z)) = K(x \ y,T(x \ 1,z)). [para(9157(a,1),6111(a,1)),flip(a)]. 9161 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),9158(a,1,2,2)),flip(a)]. 9162 K(x,T(y,z * L(y,u,w))) = K(x,T(y,z)). [para(7155(a,1),9158(a,1,2))]. 9163 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(7156(a,1),9158(a,1,2))]. 9164 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (z * K(x,T(y,z))). [para(9158(a,1),6539(a,1,2,2)),flip(a)]. 9166 K(x / (y * L(z,u,w)),T(z,y)) = K((y * L(z,u,w)) \ x,z). [para(9162(a,1),6579(a,1))]. 9167 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(14(a,1),9163(a,1,2,2,2))]. 9168 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(7245(a,1),9163(a,1,2))]. 9170 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [para(9168(a,1),6970(a,1))]. 9171 K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). [para(14(a,1),9170(a,1,2,2))]. 9172 K(x * y,T(y,z * x)) = K(y * x,T(y,z)). [para(9170(a,1),5599(a,2))]. 9173 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [para(9170(a,1),7175(a,2))]. 9174 K(x \ (y * z),T(y,z)) = K(z / (y \ x),y). [para(9159(a,1),7476(a,1))]. 9175 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [para(9167(a,1),6970(a,1))]. 9176 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(16(a,1),9175(a,1,2,2)),flip(a)]. 9177 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [para(9176(a,1),7943(a,1)),flip(a)]. 9178 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [para(9177(a,1),8678(a,1)),flip(a)]. 9179 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [para(9178(a,1),7904(a,1))]. 9180 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [para(9179(a,1),6736(a,1))]. 9181 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [para(9180(a,1),8208(a,1)),flip(a)]. 9182 K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). [para(9160(a,2),9023(a,1))]. 9183 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [para(8545(a,2),3896(a,1))]. 9184 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [para(8546(a,2),3897(a,1))]. 9185 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(13(a,1),9184(a,1,1,2,1)),flip(a)]. 9186 K(T(x,y) / y,z) = K(x / T(y,x),z). [hyper(8615,a,8616,a),flip(a)]. 9187 T(x / T(y,x),z) * T(y,T(x,z)) = x * K(T(x,y) / y,z). [para(7808(a,1),8616(a,1,2))]. 9188 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). [para(5103(a,1),9186(a,1,1,1))]. 9189 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(5778(a,1),8736(a,1,1,1)),flip(a)]. 9190 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(9189(a,2),14(a,1,2))]. 9191 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). [para(5797(a,1),9189(a,2,1))]. 9192 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(5813(a,1),9190(a,1,2,2))]. 9193 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(9190(a,1),6793(a,1,1)),flip(a)]. 9194 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(9190(a,1),6976(a,1,2,2)),flip(a)]. 9195 K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). [para(9190(a,1),7976(a,1,2,1)),flip(a)]. 9196 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [para(9190(a,1),7990(a,1,2,2)),flip(a)]. 9197 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(9190(a,1),8317(a,1,1,2)),flip(a)]. 9198 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(9190(a,1),8327(a,1,2,2)),flip(a)]. 9199 R(x * K(y,z),K(y,u),K(z,y)) \ (x * K(y,u)) = K(y,u) * K(z,y). [para(9192(a,1),128(a,1,2))]. 9200 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(6794(a,1),9192(a,1,1,1))]. 9201 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(87(a,1),9194(a,1,2,2,1))]. 9202 K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). [para(209(a,1),9195(a,1,2,1,1))]. 9203 K(x,((y * K(z,x)) * u) \ (y * (u * w))) = K(x,L(w,u,y * K(z,x))). [para(28(a,2),9196(a,1,2)),flip(a)]. 9204 K(x,y \ ((z * x) * u)) = K(x,y \ ((x * z) * u)). [para(87(a,1),9196(a,1,2,2,1))]. 9205 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(6567(a,1),9197(a,1,1,2,1))]. 9206 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(6709(a,1),9197(a,1,1,2,1)),flip(a)]. 9207 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(87(a,1),9198(a,1,2,2,1))]. 9208 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(209(a,1),9198(a,1,2,2,1))]. 9209 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(6567(a,1),9198(a,1,2,2,1))]. 9210 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(6709(a,1),9198(a,1,2,2,1)),flip(a)]. 9211 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(9200(a,2),5774(a,1,1))]. 9212 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [para(6573(a,1),9200(a,1,2)),flip(a)]. 9213 ((x * K(y,z)) * K(z,u)) / z = (x * K(z,u)) / T(z,y). [para(9200(a,1),6831(a,1,1))]. 9214 (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). [para(9200(a,2),8371(a,1))]. 9215 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(9200(a,2),8375(a,1))]. 9216 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [para(9201(a,2),8685(a,1))]. 9217 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(111(a,1),9216(a,1,2)),flip(a)]. 9218 K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). [para(365(a,1),9205(a,1,1))]. 9219 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(9206(a,1),8608(a,1,2,1,2,2)),flip(a)]. 9220 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)). [para(365(a,1),9209(a,1,2))]. 9221 (x * (K(y,z) * K(z,u))) \ (x * T(z,u)) = T(z,y). [para(9214(a,1),6869(a,1,1))]. 9222 R(x,K(y,z),K(u,y)) = x. [hyper(361,a,9215,a)]. 9223 L(K(x,y),K(y,z),u) = K(x,y). [hyper(329,a,9215,a)]. 9224 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(2653(a,1),9215(a,1,1))]. 9225 (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). [para(6794(a,1),9215(a,1,1)),flip(a)]. 9226 R(x / K(y,z),K(u,w),K(v5,u)) = x * K(z,y). [para(9222(a,2),6792(a,1))]. 9228 (x * K(y,z)) * L(K(u,y),w,v5) = x * (K(y,z) * L(K(u,y),w,v5)). [para(9223(a,1),338(a,1,2,1))]. 9229 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(7478(a,1),9223(a,1,2))]. 9230 (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). [para(9229(a,1),95(a,1,2))]. 9231 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). [para(9226(a,1),1030(a,1,2,2)),flip(a)]. 9232 (x * (K(y,L(z,y,u)) * K(z,w))) \ (x * T(z,w)) = T(z,L(y,z,u)). [para(8358(a,1),9221(a,1,1,2,1))]. 9233 ((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). [para(9225(a,1),4701(a,1,1,1))]. 9234 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [para(9211(a,1),6832(a,1)),flip(a)]. 9235 ((x * K(y,z)) / z) * K(z,u) = (x * K(z,u)) / T(z,y). [para(9213(a,1),5812(a,1)),flip(a)]. 9236 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [para(9234(a,2),6909(a,1))]. 9237 (x * K(y,z)) / T(y,u) = (x / T(y,u)) * K(y,z). [para(6831(a,1),9235(a,1,1)),flip(a)]. 9238 ((x / T(y,z)) * K(y,u)) \ (x * K(y,u)) = T(y,z). [para(9237(a,1),61(a,1,1))]. 9239 ((x \ y) * K(x,z)) \ (y * K(x,z)) = T(x,x \ y). [para(176(a,1),9238(a,1,1,1))]. 9240 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(2788(a,2),9236(a,2,2))]. 9241 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(6573(a,1),9212(a,1,1,2))]. 9242 (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). [para(9241(a,2),9230(a,1))]. 9243 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(13(a,1),8760(a,1,2))]. 9244 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [para(9243(a,1),8953(a,1)),flip(a)]. 9245 K(x * (((y * z) \ y) \ 1),z) = K(((y * z) \ y) \ x,z). [para(9244(a,2),7552(a,1))]. 9246 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [para(8868(a,1),4513(a,1))]. 9247 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(8526(a,1),9246(a,1,1,2))]. 9248 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [para(8972(a,2),8971(a,1))]. 9249 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [para(9248(a,1),7963(a,2))]. 9250 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(61(a,1),9249(a,2,2,2,1))]. 9251 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [para(8992(a,2),6871(a,1))]. 9252 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(40(a,2),9251(a,2,2))]. 9253 T(x,L(T(y,y \ z),u,w)) = T(x,L(T(y,z),u,w)). [para(110(a,2),9252(a,1,2,1))]. 9254 T(x,L(T(y,y \ 1),z,u)) = T(x,L(y,z,u)). [para(132(a,1),9253(a,2,2,1))]. 9255 T(x,L(T(T(y * z,z) / y,(T(y * z,z) / y) \ (y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(3568(a,1),9253(a,2,2,1))]. 9256 (x * R(K(y,z),u,w)) / (K(v5,y) * R(K(y,z),u,w)) = x * K(y,v5). [hyper(78,a,9001,a)]. 9257 T(x,T((y \ z) \ x,u)) = T(x,T(z \ (y * x),u)). [para(9004(a,1),9002(a,1))]. 9258 K(x,T(y * ((1 / y) * z),y \ z)) = K(x,y * (z * (y \ 1))). [para(4206(a,1),9054(a,1,2))]. 9259 K(x,L(T(y,z \ y),z \ 1,z)) = K(x,z * (y * (z \ 1))). [para(9258(a,1),5409(a,1)),flip(a)]. 9260 ((K(x,y) / z) * (z * K(y,x))) * (1 / (z * K(y,x))) = K(x,y) / z. [para(9086(a,1),14(a,1,2))]. 9261 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(8112(a,1),9105(a,1,2)),flip(a)]. 9262 L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(9261(a,1),343(a,1,1,1))]. 9263 T(x / y,K(((x / y) \ (1 / y)) \ 1,z)) = T(x / y,K(x,z)). [para(9109(a,2),8107(a,1))]. 9264 T(x / y,K(z,((x / y) \ (1 / y)) \ 1)) = T(x / y,K(x,z)). [para(9263(a,1),7431(a,1)),flip(a)]. 9265 T(x / y,K(z,(1 / y) \ (x / y))) = T(x / y,K(x,z)). [para(5962(a,1),9264(a,1,2))]. 9266 K(x,T(y,z)) * ((z * K(y,x)) * u) = K(x,y) * ((K(y,x) * z) * u). [para(4906(a,1),9111(a,2,2,1))]. 9267 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / z)). [para(9021(a,1),9133(a,2,2))]. 9268 K(x,T(y,T((x * z) \ u,z))) = K(x,T(y,u / z)). [para(9267(a,2),7355(a,1))]. 9269 K(x,T(y,z / (x * u))) = K(x,T(y,z / u)). [para(9268(a,1),9134(a,1)),flip(a)]. 9270 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(14(a,1),9269(a,1,2,2,2)),flip(a)]. 9271 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [para(9270(a,1),4597(a,2,2))]. 9272 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [para(9271(a,2),4597(a,2)),flip(a)]. 9273 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [para(9272(a,1),8945(a,1))]. 9274 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(58(a,1),9273(a,1,2,2))]. 9275 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(111(a,1),9274(a,1,2)),flip(a)]. 9276 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [para(9139(a,1),8247(a,1))]. 9277 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(14(a,1),9276(a,2,2,1))]. 9278 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(59(a,1),9276(a,1,2,1,2)),flip(a)]. 9279 K(x,((y \ x) * y) \ z) = K(x,x \ z). [para(59(a,1),9277(a,1,2,1,2))]. 9280 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [para(9277(a,1),6471(a,1))]. 9281 K(x,x \ ((y \ x) * (y * z))) = K(x,L(z,y,y \ x)). [para(28(a,2),9279(a,1,2)),flip(a)]. 9282 K(x,K(y \ x,y) * z) = K(x,z). [para(13(a,1),9280(a,1,2)),flip(a)]. 9284 K(x * y,K(y,x) * z) = K(x * y,z). [para(13(a,1),9282(a,1,2,1,1))]. 9285 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5170(a,1),9282(a,1,2)),flip(a)]. 9286 K(x,y * K(z \ x,z)) = K(x,y). [para(9282(a,1),6873(a,1)),flip(a)]. 9287 K(x,y * K(z,x / z)) = K(x,y). [para(61(a,1),9286(a,1,2,2,1))]. 9288 K(x,y \ T(z,((y \ 1) \ (y \ z)) \ x)) = K(x,y \ z). [para(6818(a,1),9286(a,1,2)),flip(a)]. 9290 K(x,y / (x / (x / z))) = K(x,y / z). [para(5929(a,2),9287(a,1,2))]. 9291 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(9284(a,1),4573(a,1,1,2))]. 9292 K(x,((y \ x) \ x) * z) = K(x,y * z). [para(59(a,1),9285(a,1,2,1)),flip(a)]. 9293 K(x,T(x / y,z) * u) = K(x,T(y \ x,z) * u). [para(6935(a,1),9292(a,1,2,1)),flip(a)]. 9294 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(257(a,1),9278(a,1,2,1)),flip(a)]. 9295 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(6842(a,1),9294(a,1,2,1))]. 9296 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(4554(a,1),9295(a,1,2,1)),flip(a)]. 9297 K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). [para(9295(a,1),8034(a,2))]. 9298 K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). [para(9297(a,1),6116(a,1)),flip(a)]. 9300 K(x,y \ (z * (x / z))) = K(x,y \ x). [para(4626(a,1),9298(a,1,2,2))]. 9301 K(x,y \ ((z \ x) * z)) = K(x,y \ x). [para(59(a,1),9300(a,1,2,2,2))]. 9302 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ x). [para(9301(a,1),6102(a,1))]. 9303 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(9291(a,1),5784(a,1,2)),flip(a)]. 9304 (x * (K(y,z) * L(K(u,y),w,v5))) * K(z,y) = x * L(K(u,y),w,v5). [hyper(6806,a,9150,a)]. 9305 (x * K(y,z)) * (K(z,y) * L(K(u,z),w,v5)) = x * L(K(u,z),w,v5). [para(6794(a,1),9228(a,1,1)),flip(a)]. 9306 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [para(7277(a,1),9256(a,1,1))]. 9307 T(K(x,y) * ((K(y,x) * z) * u),K(x,T(y,z))) = ((z * K(y,x)) * u) * K(x,T(y,z)). [para(9266(a,1),6696(a,1,1))]. 9308 (T(x,L(K(y,z),u,w)) * K(v5,z)) * (K(z,v5) * L(K(y,z),u,w)) = x * ((x * L(K(y,z),u,w)) / x). [para(9305(a,2),3550(a,1))]. 9309 (T(x,K(y,z)) * y) \ (K(x,K(y,z)) * (x * (y * u))) = L(u,y,x). [para(4627(a,1),7368(a,1,1))]. 9310 T(x * y,K(y,z)) \ (K(x,K(y,z)) * (x * (y * u))) = L(u,y,x). [para(7801(a,2),9309(a,1,1))]. 9311 T(x * y,K(y,z)) \ (T(x,K(y,z)) * (y * u)) = L(u,y,x). [para(4627(a,1),9310(a,1,2))]. 9312 K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). [para(7556(a,2),7355(a,2))]. 9313 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3467(a,2),7563(a,1,1))]. 9314 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,T(L(x,u,w),z)). [para(7485(a,1),7574(a,1,1,1,2))]. 9315 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,z),u,w)). [para(40(a,2),9314(a,2,2))]. 9316 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,x * z),u,w)). [para(6510(a,1),9315(a,1,1,1,2))]. 9317 L(x \ (x * y),x,T(z,K(x,u))) = L(y,x,z). [para(7804(a,1),9311(a,1))]. 9318 L(x,y,T(z,K(y,u))) = L(x,y,z). [para(13(a,1),9317(a,1,1))]. 9319 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(7898,a,7947,a)]. 9320 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(9319(a,1),4597(a,2,2)),flip(a)]. 9321 K(x,T(y / (x \ z),z)) = K(x,z \ (x * y)). [para(9319(a,2),9042(a,1))]. 9322 T(x,T(y / (x \ z),u)) = T(x,T((z / y) \ x,u)). [para(9320(a,1),4597(a,2)),flip(a)]. 9323 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [para(7937(a,1),4549(a,1))]. 9324 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),u \ (x * w)). [para(8021(a,1),4598(a,1))]. 9325 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [para(8023(a,2),4549(a,1))]. 9326 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(13(a,1),9325(a,1,1,2,1))]. 9327 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(3573,a,8151,a),flip(a)]. 9328 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(9327(a,1),3911(a,1,2))]. 9329 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [para(8384(a,1),6827(a,1)),flip(a)]. 9330 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [para(9329(a,2),1722(a,1))]. 9331 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(6794(a,1),9330(a,1,2)),flip(a)]. 9332 T(x,a(y,z,K(x,u))) = x. [para(9331(a,1),7060(a,1,2))]. 9333 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(8357(a,1),9331(a,1,2))]. 9334 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(9332(a,1),6537(a,1,2,2)),flip(a)]. 9335 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(8232,a,9333,a)]. 9336 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(4928,a,9333,a)]. 9337 (K(x,y) / z) * (z * K(y,x)) = a(K(x,y) / z,z,K(x,y)). [para(9333(a,1),328(a,1)),flip(a)]. 9338 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [para(9333(a,1),1722(a,2))]. 9339 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [para(9333(a,1),4575(a,1,2)),flip(a)]. 9340 ((x * y) / x) * L(K(y,x),z,u) = y * a(u,z,K(x,y)). [para(9333(a,1),5205(a,2,2))]. 9341 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [para(9333(a,1),5604(a,2))]. 9342 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(6096(a,1),9333(a,1,2))]. 9343 K(x,y) * K(y,L(x,z,u)) = a(u,z * x,K(x,y)). [para(6100(a,1),9333(a,1,2))]. 9344 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * (z * L(K(v5,x),w,u))). [para(9333(a,1),7337(a,1,2,2,2))]. 9346 (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). [para(9333(a,1),8657(a,1,1,2))]. 9347 (x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y). [para(9333(a,1),9304(a,1,1,2))]. 9348 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [para(9333(a,1),9305(a,1,2))]. 9349 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(5605,a,9338,a)]. 9351 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(6100(a,1),9338(a,1,1))]. 9352 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [para(9338(a,1),8384(a,2))]. 9353 K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). [para(6253(a,1),9349(a,1,1))]. 9354 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(9342(a,1),5215(a,2,2))]. 9356 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [hyper(18,a,9346,a,b,9347,a),flip(a)]. 9357 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [para(9356(a,1),477(a,1,1))]. 9358 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [para(9356(a,1),4663(a,1))]. 9359 (x * K(y,z)) * u != x * L(K(y,z),w,v5) | a(v5,w,K(z,y)) = u. [para(9348(a,1),19(a,1)),flip(a)]. 9360 (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). [para(6824(a,1),9348(a,1,1)),flip(a)]. 9361 a(K(x,y) / z,z,K(x,y)) * (1 / (z * K(y,x))) = K(x,y) / z. [para(9337(a,1),9260(a,1,1))]. 9362 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(9352(a,2),4725(a,2))]. 9363 x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). [para(9360(a,1),6930(a,1)),flip(a)]. 9364 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(9339(a,1),9363(a,1,2)),flip(a)]. 9365 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [hyper(329,a,9364,a)]. 9366 a(x,y,a(z,u,K(y,w))) = 1. [hyper(34,a,9365,a)]. 9367 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(7478(a,1),9366(a,1,3,3))]. 9368 a(K(x,y) / z,z,K(x,y)) * u != K(x,y) / z | 1 / (z * K(y,x)) = u. [para(9361(a,1),19(a,1)),flip(a)]. 9369 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * z). [para(9344(a,2),7186(a,1))]. 9371 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [para(8636(a,2),7373(a,1))]. 9372 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(3274(a,2),8671(a,2,2))]. 9373 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [para(8672(a,2),109(a,1))]. 9375 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(y,u,w)). [para(4573(a,1),8999(a,2,2,1))]. 9376 K(x,L(L(y,z,y),u,w)) = K(x,L(y,u,w)). [para(4742(a,1),9375(a,1,2,1))]. 9377 K(x,L(R(y,z,y),u,w)) = K(x,L(y,u,w)). [para(4152(a,1),9376(a,1,2,1)),flip(a)]. 9378 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(6734(a,1),9076(a,1,1))]. 9379 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(7468(a,1),9081(a,1,1)),flip(a)]. 9380 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9379(a,1),16(a,1,1))]. 9382 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(13(a,1),9380(a,1,1,1,1))]. 9383 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [para(9222(a,1),9199(a,1,1))]. 9384 L(a(x,y,x),K(x,x * y),z) = K(x,y) * K(x * y,x). [para(9383(a,1),8429(a,2))]. 9386 L(a(x,y,x),K(x,x * y),z) = a(x,y,x). [para(9384(a,2),8398(a,1))]. 9388 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = x / a(y,z,y). [para(9386(a,1),258(a,1,2)),flip(a)]. 9389 K(x,L(y,z,u * K(w,x))) = K(x,(u * z) \ (u * (z * y))). [para(9203(a,1),9195(a,1))]. 9390 K(x,L(y,z,u * K(w,x))) = K(x,L(y,z,u)). [para(28(a,2),9389(a,2,2))]. 9392 K(x,L(y,z,(x \ u) * x)) = K(x,L(y,z,u)). [para(209(a,1),9390(a,1,2,3))]. 9393 K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). [para(4918(a,1),9313(a,2,2))]. 9394 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(9313(a,1),7716(a,2,2))]. 9395 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,x * (z \ 1)),u,w)). [para(7854(a,1),9316(a,1,1,1,2))]. 9396 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [para(9371(a,1),7378(a,2))]. 9397 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [para(9372(a,1),9373(a,1))]. 9398 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [para(9397(a,1),61(a,1,1))]. 9399 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [para(9378(a,1),9016(a,1))]. 9400 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(9193(a,2),9399(a,1,1))]. 9401 K(x,((y / z) * u) \ (y * u)) = (y * u) \ ((y * K(x,z)) * u). [para(9400(a,1),4796(a,1)),flip(a)]. 9402 K(x / y,T(z,u)) \ T(x / (K(y \ x,z) \ x),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). [para(7536(a,1),6553(a,1,2,1,2))]. 9403 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(6343(a,1),6763(a,1,2)),flip(a)]. 9404 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [para(9403(a,2),2914(a,2)),flip(a)]. 9405 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(7593(a,1),6860(a,1,1,2))]. 9406 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [para(9405(a,1),9242(a,1)),flip(a)]. 9407 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(7599(a,1),9406(a,1,2)),flip(a)]. 9408 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(6219(a,1),9407(a,2,2))]. 9409 T(x,y) * (((x * y) / x) / T(x,y)) = ((x \ T(y,x)) \ y) * (x \ y). [para(3540(a,1),6952(a,1,2,1))]. 9410 ((x \ T(y,x)) \ y) * (x \ y) = T(x,y) * (y / x). [para(955(a,1),9409(a,1,2)),flip(a)]. 9411 (T(x,y) * (y / x)) * K(x \ y,(x \ T(y,x)) \ y) = (x \ y) * ((x \ T(y,x)) \ y). [para(9410(a,1),87(a,1,1))]. 9412 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5459(a,1),6988(a,1,1,2))]. 9413 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9412(a,2),7276(a,1,1))]. 9414 K(x,((T(y,x) / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [para(7278(a,1),8033(a,1)),flip(a)]. 9416 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [para(7655(a,2),6140(a,2)),flip(a)]. 9417 K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. [para(7777(a,1),7730(a,1)),flip(a)]. 9418 K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). [para(9417(a,2),7741(a,1))]. 9419 K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(374(a,2),9418(a,1,2,2))]. 9420 T(T(x,y * (x / y)),(y * (x / y)) \ z) = T(x,z / (y * (x / y))). [para(7893(a,2),4609(a,2)),flip(a)]. 9421 T(x,y / (z * (x / z))) = T(x,(z * (x / z)) \ y). [para(4360(a,1),9420(a,1,1)),flip(a)]. 9422 x \ ((y / x) * T(T(x,x \ y),z)) = ((y / x) / x) * T(x,T(z,y)). [para(7848(a,1),7955(a,2,2))]. 9423 x \ ((y / x) * T(T(x,x \ y),z)) = (x \ (T(x,z) * y)) / x. [para(9422(a,2),7954(a,1))]. 9424 (x \ (T(x,y) * z)) / x = x \ (T(x,y) * (z / x)). [para(3880(a,1),9423(a,1,2)),flip(a)]. 9425 x \ (T(x,K(y,z)) * (T(y,z) / x)) = (x \ (T(y,z) * T(x,y))) / x. [para(7833(a,1),9424(a,1,1,2)),flip(a)]. 9426 x \ (T(x,K(y,z)) * (T(y,z) / x)) = T(y,T(z,x)) / x. [para(7215(a,1),9425(a,2,1))]. 9427 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). [para(8051(a,2),9149(a,1))]. 9428 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [para(8079(a,2),8491(a,1))]. 9430 T(T(x,y) * (x \ (x \ z)),T(x,y)) = T(x \ ((z / x) * T(x,y)),x). [para(111(a,1),8137(a,1,1,2))]. 9431 T(x \ (T(x,y) * (x \ z)),T(x,y)) = T(x \ ((z / x) * T(x,y)),x). [para(799(a,2),9430(a,1,1))]. 9432 T(x \ (x \ (T(x,y) * z)),T(x,y)) = T(x \ ((z / x) * T(x,y)),x). [para(799(a,2),9431(a,1,1,2))]. 9433 T(x \ (x \ (T(x,y) * z)),T(x,y)) = x \ (T(z / x,x) * T(x,y)). [para(9432(a,2),7028(a,2)),flip(a)]. 9434 T(x \ (x \ (T(x,y) * z)),T(x,y)) = x \ ((x \ z) * T(x,y)). [para(111(a,1),9433(a,2,2,1))]. 9435 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(109(a,1),8248(a,1,1,2,2))]. 9436 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(4510(a,2),9435(a,1,1))]. 9437 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [para(9436(a,1),7965(a,1))]. 9438 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(16(a,1),9437(a,1,2,1,2)),flip(a)]. 9439 K(x,((1 / y) * y) \ (x \ z)) = K(x,L(x,y,y \ 1) \ z). [para(2501(a,1),9437(a,1,2,1)),flip(a)]. 9440 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(9437(a,1),6793(a,1,1,2))]. 9441 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [para(9438(a,1),7972(a,1)),flip(a)]. 9442 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(12(a,1),9441(a,2,2,1))]. 9443 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(13(a,1),9441(a,1,2,1,2)),flip(a)]. 9444 K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). [para(16(a,1),9442(a,1,2,1)),flip(a)]. 9445 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [para(9442(a,1),9038(a,2))]. 9446 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). [para(9444(a,1),6106(a,1,1))]. 9447 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [para(9445(a,1),6666(a,1)),flip(a)]. 9448 K(x,T((x \ 1) \ y,z) \ u) = K(x,T(x * y,z) \ u). [para(415(a,1),9447(a,1,2,1)),flip(a)]. 9449 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). [para(9443(a,1),6670(a,2))]. 9450 K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). [para(115(a,1),9439(a,1,2)),flip(a)]. 9452 K((x \ 1) \ y,((x \ 1) \ y) \ z) = K((x \ 1) \ y,(x * y) \ z). [para(2503(a,1),9450(a,1,2,1)),flip(a)]. 9453 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [para(9440(a,1),4675(a,1))]. 9454 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [para(9453(a,1),7322(a,1)),flip(a)]. 9455 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(9454(a,1),4702(a,2,2,2)),flip(a)]. 9456 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [para(9454(a,1),9428(a,1))]. 9457 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [para(9455(a,1),4702(a,2)),flip(a)]. 9458 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [para(9457(a,1),8008(a,2))]. 9459 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(9458(a,1),4549(a,1,1,1))]. 9460 (x \ y) * K((x \ 1) \ (x \ y),(x * (x \ y)) \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(9452(a,1),5865(a,1,2))]. 9461 K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). [para(9446(a,1),9449(a,1))]. 9462 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [para(9461(a,1),9039(a,1))]. 9463 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(32(a,2),9462(a,1,2,2))]. 9464 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [para(9463(a,1),7103(a,1)),flip(a)]. 9465 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(1013(a,1),8254(a,1,2)),flip(a)]. 9466 (K(x,y) * T(z,u)) / K(x,T(y,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). [para(6535(a,2),8341(a,1,2))]. 9467 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(6956(a,1),8385(a,1,2)),flip(a)]. 9469 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1378(a,1),8419(a,1,2,2))]. 9470 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [para(8612(a,2),8608(a,1))]. 9471 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(61(a,1),9470(a,1,2,1,1)),flip(a)]. 9472 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(3842(a,1),8772(a,1,1))]. 9473 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(9472(a,2),8324(a,1))]. 9474 T(T(K(x,y) * z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(8292(a,2),8780(a,1,1))]. 9475 T(x,y * x) * ((T(x,x * y) * K(z,x)) \ u) = K(x,z) * u. [para(2783(a,1),8975(a,1,1,1))]. 9476 T(x,y * x) * (L(x,y,x) \ z) = K(x,y) * z. [para(5013(a,1),9475(a,1,2,1))]. 9477 T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. [para(3978(a,1),9476(a,1,1))]. 9478 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [para(9477(a,1),8581(a,2))]. 9479 a(x,y,x) * z = z * a(x,y,x). [hyper(9070,a,9478,a)]. 9480 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(8575(a,1),9478(a,1,2)),flip(a)]. 9481 x / a(y,z,y) = a(y,z,y) \ x. [hyper(241,a,9479,a)]. 9482 T(x,a(y,z,y)) = x. [hyper(151,a,9479,a)]. 9483 (x * a(y,z,y)) / x = a(y,z,y). [hyper(78,a,9479,a)]. 9484 a(x,y,x) * K(z,a(x,y,x)) = a(x,y,x). [hyper(18,a,6465,a,b,9479,a),flip(a)]. 9485 T(a(x,y,x),z) = a(x,y,x). [hyper(2698,a,9479,a(flip))]. 9486 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(9479(a,2),19(a,1))]. 9487 (a(x,y,x) * z) \ ((z * u) * a(x,y,x)) = L(u,z,a(x,y,x)). [para(9479(a,1),28(a,2,2)),flip(a)]. 9488 (a(x,y,x) * z) \ (z * (u * a(x,y,x))) = L(T(u,a(x,y,x)),a(x,y,x),z). [para(9479(a,2),157(a,1,1))]. 9489 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(9479(a,1),653(a,1,2,1))]. 9490 x * (y \ R(y,z,y)) = a(y,z,y) * x. [para(8393(a,2),9479(a,2,2)),flip(a)]. 9491 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(9479(a,2),8402(a,1))]. 9492 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [para(9479(a,2),8851(a,1))]. 9493 K(x,a(y,z,y)) = 1. [hyper(36,a,9482,a)]. 9494 T(x,y \ R(y,z,y)) = x. [para(8391(a,1),9482(a,1,2))]. 9496 x / (y \ R(y,z,y)) = (y \ R(y,z,y)) \ x. [hyper(7220,a,9494,a),flip(a)]. 9499 (a(x,y,x) \ z) \ z = a(x,y,x). [para(9485(a,1),110(a,1)),flip(a)]. 9500 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(9485(a,1),162(a,1,2,1)),flip(a)]. 9501 T(a(x,y,x),z) = x \ R(x,y,x). [para(9485(a,2),8393(a,2)),flip(a)]. 9502 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(9481(a,1),8586(a,1,2))]. 9503 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = a(y,z,y) \ x. [para(9481(a,1),9388(a,2))]. 9504 x / T(a(y,z,y),u) = a(y,z,y) \ x. [para(9485(a,2),9481(a,1,2))]. 9505 (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). [para(9483(a,1),603(a,1,1)),flip(a)]. 9506 K(x,y) \ K(x * y,y) = a(y,x,y). [para(8416(a,1),9499(a,1,1))]. 9507 T(a(1 / x,y,1 / x),z) = (1 / x) \ R(1 / x,y,x \ 1). [para(4229(a,1),9501(a,2,2))]. 9509 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(7618(a,1),9491(a,1,2)),flip(a)]. 9510 T(x,R(a(y,z,y),u,w)) = x. [hyper(151,a,9500,a)]. 9511 a(x,y,x) \ (z * x) = z * L(x,y,x). [hyper(17,a,9069,a,b,9480,a),flip(a)]. 9512 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(9485(a,1),9489(a,2,1))]. 9513 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(8404(a,2),9512(a,1,2,1))]. 9515 (x / K(y,z)) * K(y,y * z) = a(y,z,y) \ x. [para(8414(a,1),9503(a,1,1,2))]. 9516 (x * K(y,z)) * K(z,z * y) = a(z,y,z) \ x. [para(6792(a,1),9515(a,1,1))]. 9517 (x / R(y,z,y)) * y = a(y,z,y) \ x. [para(9516(a,1),8201(a,1)),flip(a)]. 9518 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [para(9517(a,1),8445(a,1)),flip(a)]. 9519 (x / R(y,z,y)) * y = x / a(y,z,y). [para(9517(a,2),9481(a,2)),flip(a)]. 9520 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(67,a,9518,a),flip(a)]. 9521 a(x,y,x) \ K(x,z) = x \ L(T(x,z),y,x). [para(9518(a,1),6673(a,1))]. 9522 x * (y \ L(y,z,y)) = x / a(y,z,y). [para(9518(a,2),9481(a,2)),flip(a)]. 9523 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(18,a,205,a(flip),b,9519,a)]. 9524 x / (y \ L(y,z,y)) = x * a(y,z,y). [hyper(18,a,205,a(flip),b,9522,a),flip(a)]. 9525 x * (a(y,z,y) \ 1) = x / a(y,z,y). [para(9520(a,2),9522(a,1,2))]. 9526 (x / y) * R(y,z,y) = x * a(y,z,y). [para(9523(a,1),16(a,1,1))]. 9527 x / (a(y,z,y) \ 1) = x * a(y,z,y). [para(9520(a,2),9524(a,1,2))]. 9528 (((x * y) / a(z,u,z)) * w) / ((y * (a(z,u,z) \ 1)) * w) = R(R(x,y,a(z,u,z) \ 1),y * (a(z,u,z) \ 1),w). [para(9525(a,1),365(a,1,1,1))]. 9529 (x * y) * a(y,z,y) = x * R(y,z,y). [para(15(a,1),9526(a,1,1)),flip(a)]. 9530 (x * a(y,z,y)) \ (x * R(y,z,y)) = y. [para(9526(a,1),1581(a,1,1))]. 9531 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(3966(a,1),9526(a,1,2))]. 9532 R(x,y,x) * (x \ z) = z * a(x,y,x). [para(9526(a,1),6718(a,2))]. 9533 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(9526(a,2),8589(a,1,2))]. 9534 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [hyper(421,a,9527,a)]. 9535 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(9520(a,1),9534(a,1,3))]. 9536 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [para(8393(a,2),9535(a,1,2))]. 9537 (x * y) \ (x * R(y,z,y)) = a(y,z,y). [hyper(71,a,9529,a)]. 9538 (a(x,y,x) \ 1) \ K(z * x,a(x,y,x)) = (((z * R(x,y,x)) / (z * x)) \ 1) \ 1. [para(9529(a,1),5267(a,1,1,1,1)),flip(a)]. 9539 a(x,y,x) * (z * x) = z * R(x,y,x). [para(9529(a,1),9479(a,2))]. 9540 (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). [para(9529(a,1),9505(a,1,1,2))]. 9541 (x * a(y,z,y)) * y = x * R(y,z,y). [para(9530(a,1),14(a,1,2))]. 9542 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(13(a,1),9532(a,1,2)),flip(a)]. 9543 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(9532(a,1),991(a,1,2))]. 9544 L(a(x,y,x),x,z) = a(x,y,x). [para(9537(a,1),8395(a,1)),flip(a)]. 9545 x \ (y \ ((a(x,z,x) * y) * x)) = R(T(a(x,z,x),y * x),y,x). [para(9544(a,1),928(a,1,2,2,1,1))]. 9547 (a(x,y,x) * z) * x = z * R(x,y,x). [para(9479(a,2),9541(a,1,1))]. 9548 (x * y) \ (R(x,z,x) * y) = a(x,z,x). [hyper(71,a,9542,a)]. 9549 a(x,y,x) * (x * z) = R(x,y,x) * z. [para(9542(a,1),9479(a,2))]. 9552 (x * y) \ (R(x,z,x) * y) = L(a(x,z,x),y,x). [para(9543(a,1),28(a,2,2)),flip(a)]. 9553 L(T(x,a(y,z,y)),a(y,z,y),y) = R(y,z,y) \ (R(y,z,y) * x). [para(9543(a,1),8405(a,1,2)),flip(a)]. 9554 x * (a(x,y,x) * z) = R(x,y,x) * z. [para(9479(a,2),9543(a,1,2))]. 9555 (x * y) \ (R(x,z,x) * y) = (u * x) \ (u * R(x,z,x)). [para(9548(a,2),9537(a,2)),flip(a)]. 9556 R(x,y,x) \ (a(x,y,x) * z) = x \ z. [hyper(467,a,9549,a)]. 9557 ((R(x,y,x) * z) * u) / ((x * z) * u) = R(a(x,y,x),x * z,u). [para(9549(a,1),30(a,2,1,1)),flip(a)]. 9558 L(a(x,y,x),z,x) = (u * x) \ (u * R(x,y,x)). [para(9555(a,1),9552(a,1)),flip(a)]. 9559 L(a(x \ y,z,x \ y),u,x \ y) = y \ (x * R(x \ y,z,x \ y)). [para(14(a,1),9558(a,2,1))]. 9561 R(T(a(x,y,x),z * x),z,x) = x \ (z \ (z * R(x,y,x))). [para(9547(a,1),9545(a,1,2,2)),flip(a)]. 9562 R(T(a(x,y,x),z * x),z,x) = x \ R(x,y,x). [para(13(a,1),9561(a,2,2))]. 9564 R(T(a(x,y,x),z * x),z,x) = a(x,y,x). [para(9562(a,2),8393(a,1))]. 9565 R(a(x,y,x),z,x) = a(x,y,x). [para(9485(a,1),9564(a,1,1))]. 9566 ((a(L(x,y,z),u,L(x,y,z)) * (z * y)) * L(x,y,z)) / (z * (y * x)) = a(L(x,y,z),u,L(x,y,z)). [para(9565(a,1),334(a,2))]. 9568 L(T(x,a(y,z,y)),a(y,z,y),y) = x. [para(9553(a,2),13(a,1))]. 9569 L(x,a(y,z,y),y) = x. [para(9482(a,1),9568(a,1,1))]. 9571 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(9509(a,2),20(a,1))]. 9572 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(454(a,1),9559(a,2,2))]. 9573 K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). [para(7374(a,1),9126(a,1,1))]. 9574 K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). [para(9182(a,1),9023(a,1)),flip(a)]. 9575 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(13(a,1),9183(a,1,1,2,1))]. 9576 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(13(a,1),9185(a,1,1,2,1)),flip(a)]. 9577 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). [para(7691(a,1),9188(a,2,1,2))]. 9578 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [para(9354(a,1),7194(a,1)),flip(a)]. 9579 x / T(x / y,L(T(y,y),z,u)) = y * a(u,z * y,K(y \ x,y)). [para(40(a,2),9578(a,1,2,2))]. 9580 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(108(a,1),9579(a,1,2,2,1))]. 9581 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(4097(a,1),9416(a,2,1))]. 9582 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(5189(a,1),9581(a,1,2))]. 9583 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(9582(a,1),7310(a,1,2)),flip(a)]. 9584 T(x * K(x / y,z),x) = x * K(T(x,y) / y,z). [para(3898(a,2),9583(a,2,2,1))]. 9585 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [para(9465(a,1),7030(a,2))]. 9586 (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) * K(z,T(y,x)). [para(9466(a,1),6805(a,1))]. 9587 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(109(a,1),9469(a,1,2)),flip(a)]. 9588 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [para(9587(a,2),9513(a,1))]. 9589 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(4573(a,1),9588(a,1,1,2)),flip(a)]. 9590 K(x,y) * (K(z,x) * (K(x,y) \ u)) = K(z,x) * u. [para(9474(a,1),7437(a,1))]. 9591 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(13(a,1),9590(a,1,2,2))]. 9592 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(4906(a,1),9590(a,1,2,2))]. 9593 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [para(4907(a,1),9591(a,1,2)),flip(a)]. 9594 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(6095(a,1),9591(a,1,2,1)),flip(a)]. 9595 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(4928,a,9592,a)]. 9596 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(4928,a,9593,a)]. 9597 (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). [para(9595(a,1),1519(a,1,1,1,1))]. 9598 K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). [para(109(a,1),9596(a,1,2)),flip(a)]. 9599 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7378(a,2),9596(a,1,1))]. 9600 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(17,a,7271,a,b,9598,a),flip(a)]. 9601 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(5733,a,9600,a),flip(a)]. 9602 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(7379(a,1),9600(a,1,1)),flip(a)]. 9603 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(8873(a,1),9600(a,2,2))]. 9604 T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u). [para(5444(a,1),9601(a,2,2))]. 9605 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(9602(a,1),9151(a,1,1))]. 9606 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7378(a,2),9599(a,2,2,1))]. 9607 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(7378(a,1),9605(a,2,1))]. 9608 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [para(14(a,1),9606(a,1,2)),flip(a)]. 9609 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(7374(a,1),9607(a,2,2))]. 9610 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7378(a,2),9608(a,1,2,1))]. 9611 K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(5432(a,1),9573(a,1,2))]. 9612 K(x,K(y,z \ 1)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(9611(a,1),7421(a,1)),flip(a)]. 9613 K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(7723(a,1),9612(a,1,1))]. 9614 K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). [para(9613(a,1),7389(a,1)),flip(a)]. 9615 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [para(9585(a,1),7031(a,1)),flip(a)]. 9616 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (T(x,u) * K(z,T(y,x))). [para(9586(a,2),6497(a,1))]. 9617 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(6095(a,1),9594(a,1,1))]. 9618 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (K(x,u) * (K(z,y) * x)). [para(6545(a,2),9616(a,2,2))]. 9619 K(x,y) * (K(z,u) * (K(y,x) * z)) = T(z,T(u,K(x,y))). [para(9618(a,1),7660(a,1))]. 9620 K(x,y) * (K(K(x,y) * z,u) * z) = T(K(x,y) * z,T(u,K(x,y))). [para(4907(a,1),9619(a,1,2,2))]. 9621 K(x,y) * (z * K(z * K(x,y),u)) = T(K(x,y) * z,T(u,K(x,y))). [para(7590(a,1),9620(a,1,2))]. 9622 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(6855(a,1),6857(a,2,2))]. 9623 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [para(7176(a,1),6756(a,1)),flip(a)]. 9624 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [para(9623(a,1),5102(a,1))]. 9626 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(7687(a,1),9624(a,1,2))]. 9627 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [para(7187(a,2),5506(a,1))]. 9628 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [para(7188(a,2),5507(a,1))]. 9629 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(4685(a,1),9628(a,1,1)),flip(a)]. 9630 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7439(a,1),7918(a,1,1,3))]. 9631 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(4906(a,1),9630(a,2,2))]. 9632 K(x,T((y * R(x,z,u)) / w,w)) = K(x,(w / R(x,z,u)) \ y). [para(8218(a,1),8681(a,1)),flip(a)]. 9633 K(x,(y / R(x,z,u)) \ w) = K(x,y \ (w * R(x,z,u))). [para(111(a,1),9632(a,1,2)),flip(a)]. 9635 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (w * R(x,y,z))). [para(9633(a,1),7161(a,1)),flip(a)]. 9636 K(x,y \ (R(x,z,u) * w)) = K(x,y \ (w * R(x,z,u))). [para(9635(a,1),8207(a,1)),flip(a)]. 9637 K(x,y \ ((z * u) * R(x,z,u))) = K(x,y \ ((x * z) * u)). [para(104(a,1),9636(a,1,2,2)),flip(a)]. 9638 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7316(a,1),8243(a,1,1))]. 9640 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [para(8506(a,1),5263(a,1))]. 9641 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [para(8515(a,1),5263(a,1))]. 9642 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(97(a,2),9641(a,1,1))]. 9643 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(9641(a,1),8652(a,1,2))]. 9644 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [para(8562(a,1),7395(a,1)),flip(a)]. 9645 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7632(a,1),8587(a,1,1))]. 9646 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(987(a,1),8963(a,1,2,1))]. 9647 K(x,x \ (T(x / y,K(y,z)) * (y * u))) = K(x,L(u,y,T(x / y,K(y,z)))). [para(7799(a,1),9012(a,2,2,3))]. 9648 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(9447(a,1),9079(a,1,1))]. 9649 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(7153(a,1),9098(a,1,1,2))]. 9650 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [para(9649(a,1),5102(a,1))]. 9652 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [para(16(a,1),9107(a,2,1))]. 9654 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [para(9652(a,2),4608(a,2)),flip(a)]. 9655 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [para(9654(a,2),7374(a,1))]. 9656 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(13(a,1),9382(a,2,2,1,1))]. 9657 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(78,a,9656,a)]. 9659 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(109(a,2),9657(a,1,2))]. 9660 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(9303(a,2),9659(a,1,1))]. 9661 K(x,L(T(y,y * (z \ 1)),u,w)) = K(x,L(T(y,z),u,w)). [para(9395(a,1),9315(a,1))]. 9662 K(x,L(T(y,z \ y),u,w)) = K(x,L(T(y,z),u,w)). [para(1645(a,1),9661(a,1,2,1))]. 9663 K(x,L(T(y,z),z \ 1,z)) = K(x,z * (y * (z \ 1))). [para(9662(a,1),9259(a,1))]. 9664 K(T(x,y),y * (z * (y \ 1))) = K(x,L(z,y \ 1,y)). [para(9663(a,1),7492(a,1))]. 9665 K(x,T(y * (z * (y \ 1)),y)) = K(x,L(z,y \ 1,y)). [para(9664(a,1),6573(a,1)),flip(a)]. 9666 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [para(9622(a,2),4037(a,1))]. 9667 (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7527(a,1),9645(a,1,1,2,1))]. 9668 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(457(a,1),9646(a,1,2,2))]. 9669 K(x,x \ (T(x / y,K(y,z)) * (y * u))) = K(x,L(u,y,x / y)). [para(9318(a,1),9647(a,2,2))]. 9671 R(K(x,y),z,T(y * x,z)) = L(K(x,y),z,y * x). [para(9660(a,1),30(a,2))]. 9672 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(4941(a,1),4649(a,2,1))]. 9673 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(4573(a,1),9672(a,1,1,1))]. 9674 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [para(9673(a,1),61(a,1,1))]. 9675 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(3961(a,1),9674(a,1,1,2))]. 9676 T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(5366(a,1),4807(a,1,2,1))]. 9677 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(6535(a,2),9676(a,1,1))]. 9678 K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(6535(a,2),9677(a,1,2,1))]. 9679 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(161(a,1),4995(a,1,2)),flip(a)]. 9680 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(4796(a,1),9679(a,1,1,2,1))]. 9681 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(9333(a,1),9680(a,1,1)),flip(a)]. 9682 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(5603(a,1),9681(a,1,2)),flip(a)]. 9683 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [para(9681(a,1),9617(a,2))]. 9684 a(x,y,K(z,u)) \ (K(z,u) * w) = L(K(z,u),y,x) * w. [hyper(71,a,9682,a)]. 9685 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [para(4907(a,1),9684(a,1,2)),flip(a)]. 9686 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [para(9685(a,1),9683(a,1))]. 9687 a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) = w. [hyper(70,a,9686,a)]. 9688 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [para(9686(a,1),59(a,1,2))]. 9689 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [para(9686(a,2),9334(a,2)),flip(a)]. 9690 a(K(x,y) / z,z,K(y,x)) * (K(x,y) / z) = 1 / (z * K(y,x)). [hyper(9368,a,9687,a),flip(a)]. 9691 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(9689(a,2),19(a,1))]. 9692 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(162(a,1),4996(a,1,2)),flip(a)]. 9693 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(4796(a,1),9692(a,1,1,2,1))]. 9694 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4980(a,1),5159(a,1,2))]. 9695 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(3177(a,1),5502(a,1,1))]. 9696 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(5174(a,1),9695(a,1,1,1))]. 9697 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x \ (y * ((x \ y) \ y)). [para(5598(a,2),1661(a,1))]. 9698 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x * (y / T(x,y)). [para(9697(a,2),4010(a,1))]. 9699 ((x \ y) \ y) * (T(x,y) \ y) = x * (y / T(x,y)). [para(6941(a,1),9698(a,1,2))]. 9700 T(((T(x,y) \ y) * ((x \ y) \ y)) / (T(x,y) \ y),x * (y / T(x,y))) = L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y). [para(9699(a,1),507(a,1,2))]. 9701 K(x,y / (K(z * u,u \ 1) \ z)) = K(x,y / ((u \ 1) * (z / (1 / u)))). [para(5564(a,1),5685(a,1,2,2,1))]. 9702 T(T(x,y) * y,K(y,T(z,x))) = ((x * y) / x) * T(x,T((x * y) / x,z)). [para(7485(a,1),6029(a,1,2))]. 9703 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6068(a,1),6056(a,1,1,1))]. 9704 x * (T(y * (x \ 1),y) / y) = y \ R(y,x \ 1,y). [para(9703(a,1),8190(a,1))]. 9705 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(78,a,9704,a)]. 9706 K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5003(a,1),6271(a,1,2,2,1,1))]. 9707 K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). [para(4614(a,1),9706(a,1,2,2,1)),flip(a)]. 9708 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [para(6296(a,1),1998(a,1)),flip(a)]. 9709 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(8382(a,1),6416(a,1)),flip(a)]. 9711 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(8127(a,1),7003(a,1,1)),flip(a)]. 9712 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [para(9711(a,2),6648(a,1))]. 9713 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(3558(a,1),9712(a,1,1)),flip(a)]. 9714 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [para(9713(a,1),9094(a,1)),flip(a)]. 9715 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(67,a,7275,a),flip(a)]. 9716 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4261(a,1),9715(a,1,1)),flip(a)]. 9717 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9716(a,1),5673(a,2))]. 9718 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [para(7302(a,2),5262(a,1))]. 9719 K(x,R(x,y,z) \ (R(x,y,z) * (R(T(x,u),y,z) * w))) = K(x,R(x,y,z) * w). [para(42(a,2),7312(a,1,2,2,2,1))]. 9720 T(T(x,y \ (y / z)),K((z \ u) / u,w)) = T(x,(K(w,z \ 1) \ (z \ u)) / u). [para(5960(a,2),7814(a,1,1))]. 9721 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(8154(a,2),8153(a,1))]. 9722 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(59(a,1),9721(a,1,1,2,1,2,1))]. 9723 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [para(9722(a,1),7836(a,1)),flip(a)]. 9724 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [para(9723(a,1),7653(a,1)),flip(a)]. 9725 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [para(8197(a,2),6929(a,1))]. 9727 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(162(a,1),8607(a,2,1))]. 9728 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [para(9727(a,1),8547(a,1))]. 9729 K(x,T(y * (z * K(u,x)),w)) = K(x,T(y * z,w)). [para(8613(a,2),8608(a,1))]. 9730 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(4802(a,1),9729(a,1,2,1)),flip(a)]. 9731 K(x,T(y / (z / x),u)) = K(x,T(y / (x \ z),u)). [para(6822(a,1),9730(a,1,2,1)),flip(a)]. 9732 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1474(a,1),8654(a,1,2))]. 9733 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [para(9732(a,1),24(a,2)),flip(a)]. 9734 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [para(9733(a,1),8198(a,2))]. 9735 K(x * L(y,z,u),y) * K(y,x) = a(y,x,L(y,z,u)). [para(9733(a,1),8653(a,2))]. 9736 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [hyper(4928,a,9734,a)]. 9737 x * (K(y,z) * K(z,y * L(z,u,w))) = x / a(z,y,L(z,u,w)). [para(9734(a,1),8439(a,1,2)),flip(a)]. 9738 K(L(x,y,z) * u,x) * K(x,u) = a(x,u,L(x,y,z)). [para(7162(a,2),9735(a,1,1))]. 9739 K(x * L(y,z,u),y) != K(x,y) * w | a(y,x,L(y,z,u)) = w. [para(9736(a,1),19(a,1))]. 9740 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [para(9738(a,1),9036(a,1)),flip(a)]. 9741 (a(x,y,L(x,z,u)) * K(L(x,y,L(x,z,u)),w)) \ (x * K(L(x,y,L(x,z,u)),w)) = T(L(x,y,L(x,z,u)),L(x,y,L(x,z,u)) \ x). [para(9740(a,1),9239(a,1,1,1))]. 9742 K(x,y) * K(y,x * L(y,z,u)) = a(y,x,L(y,z,u)) \ 1. [hyper(17,a,3708,a,b,9737,a)]. 9743 x * (a(y,z,L(y,u,w)) \ 1) = x / a(y,z,L(y,u,w)). [para(9742(a,1),9737(a,1,2))]. 9744 x / (a(y,z,L(y,u,w)) \ 1) = x * a(y,z,L(y,u,w)). [hyper(18,a,205,a(flip),b,9743,a),flip(a)]. 9745 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1585(a,1),8656(a,1,2))]. 9746 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [para(9745(a,1),24(a,2)),flip(a)]. 9747 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(9746(a,1),14(a,1,2))]. 9748 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(9746(a,1),6239(a,1,1)),flip(a)]. 9749 K(x,y) * K(y * R(x,z,u),x) = a(x,y,R(x,z,u)). [para(9746(a,1),8199(a,2))]. 9750 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [para(9746(a,1),8655(a,2))]. 9751 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(9746(a,1),8606(a,1,2)),flip(a)]. 9752 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [para(9626(a,2),9746(a,1,2))]. 9753 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(4123(a,1),9748(a,2,1))]. 9754 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [hyper(6806,a,9749,a)]. 9755 K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). [para(7167(a,1),9750(a,1,1))]. 9756 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(9750(a,1),8046(a,1,1)),flip(a)]. 9757 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(16(a,1),9754(a,1,2,2))]. 9758 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(4969,a,9751,a)]. 9759 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(9758(a,1),14(a,1,2))]. 9760 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [para(9758(a,1),1998(a,1)),flip(a)]. 9761 ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). [para(8976(a,1),1177(a,1)),flip(a)]. 9762 (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). [para(7301(a,2),9761(a,1,1))]. 9763 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(61(a,1),9762(a,1,1,2,1))]. 9764 L(x,K(y,z),K(z,u)) = x. [hyper(329,a,9763,a)]. 9765 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [para(9763(a,1),32(a,2,2)),flip(a)]. 9767 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [para(1720(a,1),9763(a,1,1))]. 9768 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * (K(z,x) * u)) / (K(x,y) * K(z,x))). [para(9763(a,1),3550(a,2,2,1))]. 9769 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(9763(a,2),9591(a,1))]. 9770 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [para(9764(a,2),3830(a,1))]. 9773 L(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5441(a,1),9764(a,1,2))]. 9774 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [para(9764(a,1),5501(a,1)),flip(a)]. 9775 L(x,K(y,T(z,u)),K(z,w)) = x. [para(6573(a,1),9764(a,1,2))]. 9776 L(x,K(y,z),K(u,K(z,w))) = x. [para(7374(a,1),9764(a,1,3))]. 9777 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(9775(a,1),95(a,1,2))]. 9778 (K(x,K(y,z)) * K(u,y)) * w = K(x,K(y,z)) * (K(u,y) * w). [para(9776(a,1),95(a,1,2))]. 9779 (K(x,y) * L(K(z,x),u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(9773(a,1),95(a,1,2))]. 9780 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(9770(a,1),8225(a,1,2,3))]. 9781 K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) = T(K(z,x) * K(x,y),u). [para(9767(a,1),4597(a,2)),flip(a)]. 9782 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(9767(a,2),9591(a,1))]. 9783 (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). [para(1720(a,1),9774(a,1,1))]. 9784 R(K(x,y),K(y,z),u) = K(x,y). [hyper(4437,a,9782,a)]. 9785 L(x,K(y,z),K(u,y)) = x. [hyper(329,a,9782,a)]. 9786 (K(x,y) * (K(y,z) * u)) / u = K(x,y) * K(y,z). [hyper(78,a,9782,a)]. 9787 x \ (K(y,z) * (K(z,u) * x)) = T(K(y,z) * K(z,u),x). [para(9782(a,1),32(a,2,2)),flip(a)]. 9788 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [para(9782(a,1),4572(a,1,1))]. 9789 K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. [para(5236(a,1),9782(a,1,1)),flip(a)]. 9792 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(9784(a,1),3239(a,1,1)),flip(a)]. 9793 (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). [para(6573(a,1),9783(a,1,1,1))]. 9794 (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). [para(4907(a,1),9786(a,1,1,2))]. 9795 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [para(9593(a,1),9786(a,1,1))]. 9796 (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). [para(7469(a,1),9794(a,1,1))]. 9797 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(4821(a,1),9795(a,1,1))]. 9798 (x \ L(x,y,x)) * z = a(x,y,x) \ z. [para(9789(a,1),9075(a,1))]. 9799 (x \ L(x,y,x)) \ z = a(x,y,x) * z. [hyper(17,a,203,a(flip),b,9798,a),flip(a)]. 9800 (x \ L(x,y,x)) \ z = z * a(x,y,x). [para(9799(a,2),9479(a,1))]. 9801 (a(x,y,x) \ 1) \ z = a(x,y,x) * z. [para(9520(a,2),9799(a,1,1))]. 9802 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [para(9765(a,1),9467(a,1)),flip(a)]. 9803 R(K(x,y),K(z,T(x,u)),w) = K(x,y). [hyper(4437,a,9777,a)]. 9804 R(x,T(K(y,z),x),T(K(u,K(z,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(9778(a,2),638(a,1,2))]. 9805 (K(x,y) * L(K(x,z) \ 1,u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(4796(a,2),9779(a,1,1,2,1))]. 9806 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). [para(7469(a,1),9796(a,1,2))]. 9807 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). [para(6573(a,1),9806(a,2,2))]. 9808 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(140(a,2),9797(a,1,2,2,2))]. 9809 T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). [para(9781(a,1),9621(a,1)),flip(a)]. 9811 K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). [para(9024(a,1),9023(a,1))]. 9812 K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). [para(9811(a,1),9574(a,1))]. 9813 K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). [para(9812(a,2),7481(a,1))]. 9814 K(x * ((y \ z) \ 1),y / z) = K((y \ z) \ x,y / z). [para(9813(a,1),7481(a,1)),flip(a)]. 9815 K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). [para(9814(a,1),7315(a,2))]. 9816 T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [para(9148(a,1),4337(a,1)),flip(a)]. 9817 T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). [para(9816(a,1),9145(a,1))]. 9818 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (K(x,y) * z). [para(6537(a,1),9164(a,2,2))]. 9819 L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). [para(8481(a,1),9818(a,1,1)),flip(a)]. 9820 K(x,y) * (L(y,z,u) * (w * K(y,x))) = L(y,z,u) * T(w,K(y,x)). [para(4910(a,1),9819(a,1,2)),flip(a)]. 9822 T(L(x,y,z) * u,K(w,x)) = L(x,y,z) * T(u,K(x,w)). [para(9820(a,1),8204(a,1)),flip(a)]. 9823 T(L(x,y,z) * u,K(x,w)) = L(x,y,z) * T(u,K(x,w)). [para(9822(a,1),7431(a,1)),flip(a)]. 9824 (L(x,y,z) * u) * K(x,K(w,u)) = T(L(x,y,z) * u,K(x,w)). [para(9823(a,2),7400(a,2))]. 9825 K(x,K(y,L(y,z,u) * w)) = K(y,K(x,w)). [hyper(17,a,7349,a,b,9824,a),flip(a)]. 9826 K(x,K(y,L(y,z,u) * w)) = K(x,K(y,w)). [para(9825(a,2),7374(a,1))]. 9827 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4573(a,1),9589(a,2,2))]. 9828 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(5444(a,1),9604(a,1,1,2))]. 9829 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). [hyper(4384,a,9828,a)]. 9830 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). [para(5602(a,1),9829(a,2,1))]. 9831 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [para(9830(a,1),5602(a,1))]. 9832 T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u). [para(9831(a,2),160(a,1))]. 9833 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [para(9694(a,1),6267(a,1))]. 9835 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(9650(a,1),9708(a,2,2,2,1,1))]. 9836 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(13(a,1),9719(a,1,2))]. 9839 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [para(9752(a,1),9746(a,1)),flip(a)]. 9840 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(9839(a,1),4174(a,1))]. 9841 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(9840(a,1),4123(a,1)),flip(a)]. 9842 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(9626(a,1),9753(a,1,1))]. 9843 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(9841(a,1),9842(a,2,1))]. 9844 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [para(9843(a,1),9748(a,1)),flip(a)]. 9845 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [para(9788(a,1),8438(a,1)),flip(a)]. 9846 T(x,T((1 / y) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(8017(a,1),5408(a,1,1))]. 9847 (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(12(a,1),5511(a,1,1))]. 9848 ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). [para(9847(a,1),4667(a,1))]. 9849 (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). [para(1572(a,1),9848(a,1,1))]. 9850 (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. [para(9849(a,2),8594(a,1))]. 9851 (R(x,y,z) \ x) * (x \ 1) = R(x,y,z) \ 1. [para(6395(a,1),9850(a,1,1))]. 9852 T(R(x,y,z) \ x,x \ 1) = (x \ 1) \ (R(x,y,z) \ 1). [para(9851(a,1),32(a,2,2))]. 9853 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [para(9852(a,2),6238(a,1))]. 9854 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(36,a,9853,a)]. 9855 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(9854(a,1),4654(a,1,1,1))]. 9856 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). [para(9855(a,1),1843(a,1,1)),flip(a)]. 9857 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3246(a,1),5580(a,1,2,1,1))]. 9858 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(2889(a,1),9857(a,1,2))]. 9859 ((x * T(x \ (y / z),y / z)) * z) / y = K(x \ (y / z),(z / y) \ 1). [para(5869(a,1),5211(a,1))]. 9860 (x * (y * T(y \ (x \ z),z / y))) / z = K(x \ (z / y),(y / z) \ 1). [para(1370(a,1),9859(a,1,1))]. 9862 K(((x * y) / z) \ 1,z / y) = K(x \ (z / y),(y / z) \ 1). [para(9860(a,1),5314(a,1)),flip(a)]. 9863 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [para(6210(a,1),6358(a,1))]. 9864 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1626(a,2),6265(a,1,2))]. 9865 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(6573(a,1),7543(a,2,1,2))]. 9866 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,T(x,K(y,z))). [para(4910(a,1),7633(a,1,2)),flip(a)]. 9867 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,x). [para(9866(a,2),3901(a,1))]. 9868 K(x \ ((y / z) \ u),L(z,w,v5)) = K(x \ ((z \ y) \ u),L(z,w,v5)). [para(8143(a,1),4549(a,1))]. 9869 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(42(a,2),8347(a,1,1,2))]. 9870 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(3842(a,1),8431(a,1,1)),flip(a)]. 9871 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). [para(6535(a,2),8915(a,2,2,1))]. 9872 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [para(8959(a,1),4598(a,1))]. 9873 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [para(9872(a,2),8091(a,1))]. 9874 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [para(9873(a,1),8091(a,1)),flip(a)]. 9875 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9103(a,1),9874(a,1,2))]. 9876 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [para(9875(a,1),9643(a,1))]. 9877 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [para(9876(a,1),8101(a,1))]. 9878 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [para(9877(a,1),7374(a,1)),flip(a)]. 9879 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [para(9878(a,1),9396(a,1)),flip(a)]. 9880 K(x,K(y,a(z,x,T(u,x)))) = 1. [para(9879(a,2),9015(a,1))]. 9881 K(x,K(y,a(z,x,u))) = 1. [para(144(a,1),9880(a,1,2,2,3))]. 9883 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(9881(a,1),7349(a,1,2)),flip(a)]. 9885 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(75,a,9883,a(flip)),flip(a)]. 9886 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [para(9885(a,1),7615(a,1)),flip(a)]. 9887 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(9886(a,1),109(a,1,2)),flip(a)]. 9888 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,w \ x). [para(9181(a,2),6585(a,1))]. 9890 K((x * (y * z)) \ u,L(z,w,v5)) = K((x * y) \ (z \ u),L(z,w,v5)). [para(9459(a,1),4549(a,1))]. 9891 (((x * R(y,z,y)) / (x * y)) \ 1) \ 1 = a(y,z,y) * K(x * y,a(y,z,y)). [para(9538(a,1),9801(a,1))]. 9892 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(6584(a,1),9755(a,1,2)),flip(a)]. 9894 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [para(9892(a,2),9750(a,1))]. 9895 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(111(a,1),9894(a,1,2)),flip(a)]. 9896 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(272(a,1),9894(a,1,2,2))]. 9897 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(9895(a,1),9757(a,1,1))]. 9898 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [para(9897(a,2),6607(a,1))]. 9899 T(x,T((y \ 1) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(4435(a,1),9846(a,1,1))]. 9900 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [para(9864(a,1),95(a,1)),flip(a)]. 9901 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(5438(a,1),9900(a,1,2)),flip(a)]. 9902 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(4879(a,1),9901(a,2,2))]. 9903 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(61(a,1),9902(a,1,1,2,1))]. 9904 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(61(a,1),9903(a,2,2,1,2))]. 9906 x * (T(y,y \ x) \ 1) = T(x * (y \ 1),y). [para(9904(a,1),598(a,1))]. 9907 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [para(4556(a,1),9904(a,2,2))]. 9909 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [para(9904(a,1),6199(a,1,2))]. 9910 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(6794(a,1),9904(a,1,1)),flip(a)]. 9911 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(71,a,9906,a)]. 9912 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [para(9907(a,1),6198(a,1)),flip(a)]. 9913 L(K(x,y),y \ 1,z) = K(x,y). [para(9909(a,1),4829(a,1)),flip(a)]. 9914 L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). [para(9913(a,2),8744(a,1))]. 9916 (x * (y \ 1)) / (T(y,z) \ 1) = x * K(y,z). [hyper(78,a,9910,a)]. 9917 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(4573(a,1),9910(a,1,2,1))]. 9918 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [para(110(a,1),9911(a,2,1))]. 9919 (x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(9912(a,1),4959(a,1,1))]. 9920 (x / (y \ 1)) * K(y,z) = x / (T(y,z) \ 1). [para(16(a,1),9916(a,1,1)),flip(a)]. 9921 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(9918(a,1),4366(a,1,1)),flip(a)]. 9922 x / (T(y,x) \ 1) = y * ((x / (y \ 1)) / y). [para(9920(a,1),5561(a,1))]. 9923 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [para(9921(a,1),3806(a,1)),flip(a)]. 9924 ((((x / y) \ 1) * x) \ x) \ x = ((y \ x) \ 1) * x. [para(61(a,1),9923(a,2,1,1,1))]. 9925 ((x / y) \ 1) * (y * (x / y)) = ((y \ x) \ 1) * x. [para(9924(a,1),3809(a,1)),flip(a)]. 9926 T(x,T(((y / z) \ 1) * y,y)) = T(x,((z \ y) \ 1) * y). [para(9924(a,1),6526(a,1,2)),flip(a)]. 9927 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [para(9914(a,1),6085(a,1)),flip(a)]. 9928 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [para(9927(a,1),8894(a,1))]. 9929 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [para(9928(a,2),8919(a,1))]. 9930 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [para(9929(a,1),7141(a,1)),flip(a)]. 9931 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(109(a,1),9930(a,1,1,1)),flip(a)]. 9932 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [para(9930(a,1),7968(a,1)),flip(a)]. 9933 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [para(9932(a,2),8517(a,1))]. 9934 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(9933(a,1),5336(a,1,2,1,2))]. 9935 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(9931(a,1),8923(a,1))]. 9936 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [para(9935(a,1),6898(a,2))]. 9937 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [para(9935(a,1),6899(a,2))]. 9938 L(K(x * y,y),x,z) = K(z \ ((z * x) * y),y). [para(5189(a,2),9936(a,1,1))]. 9939 L(K(x * y,x),y,z) = K(z \ (x * (z * y)),x). [para(9936(a,2),7326(a,1))]. 9940 K(x \ ((x * y) * z),z) \ K(z * y,z) = a(x,y,K(z * y,z)). [para(9936(a,1),9341(a,1,1))]. 9941 L(K(x * T(y,z * x),T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(109(a,1),9938(a,2,1,2))]. 9942 L(K(x * y,y),x,z) = K(z \ (y * (z * x)),y). [para(9938(a,2),7326(a,1))]. 9943 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x * y,x)). [para(9939(a,1),6470(a,2,1))]. 9944 R(x,y \ 1,K(z,y)) = x. [para(9919(a,1),15(a,1))]. 9945 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [para(9944(a,1),4662(a,1)),flip(a)]. 9946 R(x,y \ 1,K(z,T(y,u))) = x. [para(6573(a,1),9944(a,1,3))]. 9947 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(4573(a,1),9946(a,1,3,2))]. 9949 R(x,y \ K(y,z),K(u,y)) = x. [para(4810(a,1),9947(a,1,2))]. 9950 R(x,y,K(z,y \ 1)) = x. [para(234(a,1),9949(a,1,2))]. 9951 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [para(9949(a,1),6849(a,1)),flip(a)]. 9952 R(x,y \ z,K(u,z \ y)) = x. [para(5962(a,1),9950(a,1,3))]. 9953 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(9952(a,1),390(a,1,1))]. 9954 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(4558(a,1),9945(a,1,2))]. 9955 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [para(9954(a,1),61(a,1,1))]. 9956 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [para(9955(a,1),6176(a,2))]. 9957 (T(x,y) \ 1) \ T(y,x) = (x \ 1) \ y. [para(9955(a,1),6177(a,1,1))]. 9958 ((x / y) / (y \ 1)) \ (y \ x) = T(y,y \ x) \ 1. [para(9955(a,1),6257(a,1)),flip(a)]. 9959 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(9956(a,1),4050(a,1,1)),flip(a)]. 9960 K(x,y) * ((x \ 1) \ y) = (T(x,y) \ 1) \ y. [para(9957(a,1),5731(a,1,2))]. 9961 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(4597(a,2),9951(a,1,1))]. 9962 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [para(9961(a,2),61(a,1,1))]. 9963 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(4770(a,1),9962(a,2,2))]. 9964 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(61(a,1),9959(a,1,1,2,1)),flip(a)]. 9965 (T(x,y) \ 1) \ y = x * (((x \ 1) \ y) / x). [para(9960(a,1),5274(a,1))]. 9966 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [para(9964(a,1),59(a,1,2))]. 9967 (T(1 * (K(x,y) * K(z,x)),u) \ 1) \ u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(8443(a,1),9965(a,2,2,1,1))]. 9968 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [para(9966(a,1),8178(a,2)),flip(a)]. 9969 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(9968(a,1),2263(a,1,1))]. 9970 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(6049(a,2),9969(a,1,1))]. 9971 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(13(a,1),9970(a,1,1,1,1)),flip(a)]. 9972 (((K(x,y) * K(z,x)) * u) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(8443(a,1),9971(a,1,1,1)),flip(a)]. 9973 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(9953(a,1),6214(a,1,2))]. 9974 (x \ y) / (T(x,x \ y) \ 1) = (y / x) / (x \ 1). [para(9958(a,1),59(a,1,2))]. 9975 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(111(a,1),9963(a,1,1,1))]. 9976 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(9975(a,1),6280(a,1,1))]. 9977 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(5269(a,2),9976(a,1,1,2))]. 9978 (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(9013(a,1),9977(a,1,1,2))]. 9979 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(4755(a,1),9917(a,1,1,2))]. 9980 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5140(a,1),9979(a,2,2))]. 9982 R(x,K(y \ 1,z),y) = x. [hyper(4437,a,9980,a)]. 9983 L(x \ 1,K(x,y),z) = x \ 1. [hyper(329,a,9980,a)]. 9984 R(x,y,K(y \ 1,z)) = x. [para(9982(a,1),6288(a,1)),flip(a)]. 9985 (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). [para(9984(a,1),104(a,1,1)),flip(a)]. 9986 R(x,y \ z,K(y / z,u)) = x. [para(7565(a,1),9984(a,1,3))]. 9987 x \ (y * K(x / y,z)) = (x \ y) * K(x / y,z). [para(9986(a,1),390(a,1,1))]. 9988 L(K(x \ 1,y),x,z) = K(x \ 1,y). [hyper(329,a,9985,a)]. 9989 a(x,y,K(y \ 1,z)) = 1. [hyper(34,a,9988,a)]. 9990 a(x,y \ 1,K(y,z)) = 1. [para(2889(a,1),9989(a,1,3))]. 9991 L(K(x,y),x \ 1,z) = K(x,y). [hyper(33,a,9990,a)]. 9992 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [para(9991(a,1),5416(a,1)),flip(a)]. 9993 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [para(9992(a,1),4597(a,2,2))]. 9994 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [para(9993(a,2),4597(a,2)),flip(a)]. 9995 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [para(9994(a,2),8747(a,1))]. 9996 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [para(9987(a,1),1131(a,1))]. 9997 K(x,y \ ((y * z) * x)) * K(x * z,x) = a(y,z,K(x * z,x)). [para(9940(a,1),4906(a,1)),flip(a)]. 9998 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(18,a,9338,a,b,9997,a),flip(a)]. 9999 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [para(14(a,1),9998(a,2,2,2,1))]. 10000 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(5131(a,2),9998(a,1,1))]. 10001 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(186(a,1),10000(a,2,2))]. 10002 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [para(9999(a,1),6523(a,1)),flip(a)]. 10003 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [para(10002(a,1),9038(a,2))]. 10004 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [para(10003(a,1),9473(a,1))]. 10005 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [para(10004(a,1),7494(a,1)),flip(a)]. 10006 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [para(10005(a,1),8315(a,1))]. 10007 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [para(10006(a,1),7496(a,1))]. 10009 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [para(10001(a,2),6933(a,1))]. 10011 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T((K(x,z) * K(y,x)) \ 1,u). [para(9763(a,1),9972(a,1,1,1))]. 10012 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [para(9973(a,1),4983(a,1))]. 10013 K((x \ y) * (y \ x),z) = 1. [hyper(36,a,10012,a)]. 10014 T(x,(y \ z) * (z \ y)) = x. [hyper(35,a,10012,a)]. 10016 K(x * ((y * x) \ y),z) = 1. [para(13(a,1),10013(a,1,1,1))]. 10018 T(x,y * ((z * y) \ z)) = x. [para(13(a,1),10014(a,1,2,1))]. 10020 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(37,a,10016,a)]. 10021 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(7220,a,10018,a),flip(a)]. 10022 K(x,y * ((z * y) \ z)) = 1. [hyper(36,a,10018,a)]. 10026 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(142(a,2),10020(a,1,1,2))]. 10028 T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). [para(10026(a,1),5228(a,1)),flip(a)]. 10029 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [para(10026(a,1),8983(a,1)),flip(a)]. 10031 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(10029(a,1),1778(a,1,1))]. 10033 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * (K(z,x) * 1),u). [para(9774(a,1),10011(a,2,1))]. 10034 ((K(x,y) * (K(z,x) * u)) \ u) \ 1 = T(K(x,y) * K(z,x),u). [para(12(a,1),10033(a,2,1,2))]. 10035 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [para(9934(a,1),5336(a,1))]. 10036 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(2495(a,1),10035(a,1,1,1))]. 10037 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(10036(a,1),5321(a,1)),flip(a)]. 10038 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [para(10037(a,2),9159(a,1))]. 10039 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [para(10038(a,1),8895(a,1))]. 10040 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [para(10039(a,1),7484(a,1))]. 10041 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [para(10007(a,2),2893(a,1))]. 10042 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [para(10041(a,1),7901(a,1)),flip(a)]. 10043 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(10042(a,2),8787(a,2))]. 10044 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(6468(a,1),10043(a,1,1))]. 10045 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(14(a,1),10044(a,2,2,1,2,1))]. 10047 K(x,R(1 / y,y,z) \ x) = R(K(x,x * y),y,z). [para(143(a,2),10045(a,2,2,1)),flip(a)]. 10048 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [para(10045(a,2),5184(a,2))]. 10049 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [para(10048(a,1),4597(a,2,2))]. 10050 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(8880(a,1),9865(a,2,1))]. 10051 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [para(10050(a,2),9631(a,1))]. 10052 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(6573(a,1),10051(a,1,1,2))]. 10053 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(7469(a,1),10052(a,1,2))]. 10054 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(8648(a,2),10053(a,1,1))]. 10055 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(7431(a,1),9869(a,1,2))]. 10056 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). [para(9614(a,1),9871(a,2,2))]. 10057 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(10056(a,2),109(a,1))]. 10058 L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(6535(a,2),10057(a,1,1,2))]. 10059 (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(9983(a,1),10058(a,1,1))]. 10060 ((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x). [para(10059(a,1),5703(a,1,2))]. 10062 R(K(x,y),y \ 1,z) = K(x,y). [para(10060(a,1),6355(a,1)),flip(a)]. 10064 T(x,T(1 \ (y * x),z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(9257(a,1),9899(a,1,1))]. 10065 L(K(x * y,T(y,z * x)),x,z) = K(z \ (y * (z * x)),T(y,z * x)). [para(7585(a,1),9941(a,1,1))]. 10067 K(x \ (y * (x * z)),T(y,x * z)) = L(K(y * z,T(y,x)),z,x). [para(9172(a,1),10065(a,1,1)),flip(a)]. 10068 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(7784(a,1),10055(a,1,2))]. 10069 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(10068(a,1),5102(a,1,1,2))]. 10071 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5100(a,1),10069(a,1,1))]. 10072 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [para(10071(a,1),6421(a,1))]. 10073 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10072(a,1),8200(a,2,1))]. 10074 T(x,T(y * x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(50(a,1),10064(a,1,1,2,1))]. 10075 T(x,T(y * x,z)) * K((y \ 1) \ 1,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(6546(a,1),10074(a,1,2))]. 10076 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(2889(a,1),10075(a,1,2))]. 10077 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(4390(a,1),4414(a,2,1))]. 10078 L(L(x \ L(x,x \ 1,x),y,z),u,w) = L(x \ L(x,x \ 1,x),y,z). [hyper(329,a,4481,a)]. 10079 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(8646(a,1),4697(a,1,2))]. 10081 (K(x,y) / y) * T((K(x,y) / y) \ z,u) = T(z * T(y,x),u) / T(y,x). [para(4704(a,2),4782(a,1,2)),flip(a)]. 10082 T(K(x,y) * T(y,x),z) / T(y,x) = (K(x,y) / y) * T(y,z). [para(61(a,1),10081(a,1,2,1)),flip(a)]. 10083 T(K(x,y) * T(y,x),z) / T(y,x) = K(y,x) \ K(y,z). [para(10082(a,2),5811(a,1))]. 10084 T(x,y) / T(x,z) = K(x,z) \ K(x,y). [para(4562(a,1),10083(a,1,1,1))]. 10085 (K(x,y) \ K(x,z)) \ T(x,z) = T(x,y). [para(10084(a,1),61(a,1,1))]. 10086 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4582(a,1),4884(a,2,2))]. 10087 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = L(x,y,z). [para(10086(a,2),28(a,2)),flip(a)]. 10089 L(x,y,T(x,z)) = L(x,y,x). [para(10087(a,1),6724(a,1)),flip(a)]. 10090 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(10089(a,1),40(a,2,1))]. 10095 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [para(10090(a,2),40(a,2)),flip(a)]. 10097 L(T(x,y),T(z,x),x) = L(T(x,y),z,x). [para(10095(a,1),4131(a,1))]. 10098 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(10095(a,1),8576(a,1,2,1))]. 10099 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(8588,a,10098,a),flip(a)]. 10101 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10099(a,1),8571(a,1,1,2))]. 10102 L(x,a(y,z,y),T(y,u)) = x. [para(10099(a,1),9569(a,1,2))]. 10103 (T(x,y) * a(x,z,x)) * u = T(x,y) * (a(x,z,x) * u). [para(10102(a,1),95(a,1,2))]. 10104 T(x,y) * (a(x,z,x) * u) = R(T(x,y),z,x) * u. [para(8402(a,1),10103(a,1,1)),flip(a)]. 10105 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(9529(a,1),10101(a,1,1))]. 10107 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [para(10105(a,2),10095(a,1))]. 10109 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [para(5809(a,2),4378(a,2))]. 10110 (T(x,y) / z) / K(((1 / z) / (x / z)) \ 1,y) = T(x / z,K(x,y)). [para(6256(a,2),9265(a,1))]. 10111 (T(x,y) / z) / K(((z \ 1) / (x / z)) \ 1,y) = T(x / z,K(x,y)). [para(5323(a,1),10110(a,1,2))]. 10112 (T(x,y) / z) * K(y,((z \ 1) / (x / z)) \ 1) = T(x / z,K(x,y)). [para(10111(a,1),6792(a,1)),flip(a)]. 10113 (T(x,y) / z) * K(y,(x / z) / (z \ 1)) = T(x / z,K(x,y)). [para(5109(a,1),10112(a,1,2))]. 10114 (K(x,T(y,z)) / u) * K(z,(K(x,y) / u) / (u \ 1)) = T(K(x,y) / u,K(K(x,y),z)). [para(6535(a,2),10113(a,1,1,1))]. 10115 x \ K((x * ((1 / y) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [para(6292(a,1),5433(a,2))]. 10116 x \ K((x * ((y \ 1) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [para(5584(a,1),10115(a,1,2))]. 10117 x \ K((x * ((y \ 1) / x)) \ 1,z) = ((y \ T(y,z)) * K(x \ 1,x)) / x. [para(4421(a,1),10116(a,2,1))]. 10118 x \ K((x * ((y \ 1) / x)) \ 1,z) = (K(y,z) * K(x \ 1,x)) / x. [para(4571(a,2),10117(a,2,1,1))]. 10119 x \ K((x * ((y \ 1) / x)) \ 1,z) = K(y,z) / T(x,x \ 1). [para(10118(a,2),2408(a,1))]. 10120 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / T(x,x \ 1)). [para(10119(a,1),14(a,1,2)),flip(a)]. 10121 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / ((x \ 1) \ 1)). [para(110(a,1),10120(a,2,2,2))]. 10122 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(6824(a,1),6845(a,2,1))]. 10123 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [para(10122(a,2),30(a,2)),flip(a)]. 10126 R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). [para(147(a,1),10123(a,1,2))]. 10127 R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). [para(9030(a,1),10126(a,1,1))]. 10128 R(x,y,x) * (K(z,R(x,y,x)) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(6509(a,1),7010(a,1,1)),flip(a)]. 10129 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(6509(a,1),10128(a,1,2,1))]. 10131 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(4879(a,1),10129(a,1,2)),flip(a)]. 10133 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [para(10131(a,1),9533(a,1))]. 10134 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(3464(a,1),7206(a,1,1))]. 10135 K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [para(7229(a,2),5336(a,1))]. 10136 K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [para(110(a,1),10135(a,1,1,1))]. 10137 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(136(a,1),7931(a,1,1))]. 10139 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(6792(a,1),10137(a,1,2))]. 10140 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(9858(a,1),10139(a,1,2)),flip(a)]. 10141 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(67,a,10140,a(flip)),flip(a)]. 10142 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(4928,a,10141,a)]. 10143 K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(4150(a,1),10142(a,1,2,2))]. 10144 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(8557(a,1),10142(a,1,1))]. 10145 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,(y * z) \ z). [para(7759(a,1),8165(a,2,1))]. 10146 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,z / (z * y)). [para(7709(a,2),10145(a,2,2))]. 10147 K(x,y \ (y / z)) = K(u,K(x,z)) * K(x,u / (u * z)). [para(10146(a,1),6014(a,2))]. 10148 K(x,1 / (1 / (y \ (y / z)))) = K(u,K(x,z)) * K(x,u / (u * z)). [para(10147(a,1),3167(a,2))]. 10151 K(x,(y * (K(x,z) * u)) \ (y * (u * w))) = K(x,L(w,K(x,z) * u,y)). [para(8177(a,1),6700(a,1))]. 10153 K(x,L(y,K(x,z) * u,w)) = K(x,(w * u) \ (w * (u * y))). [para(10151(a,1),8144(a,1))]. 10154 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(28(a,2),10153(a,2,2))]. 10156 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(4907(a,1),10154(a,1,2,2)),flip(a)]. 10157 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10154(a,1),4932(a,1,2,2)),flip(a)]. 10158 K(x,L(y,z * K(x,u),w)) = K(x,L(y,z,w)). [para(7469(a,1),10154(a,1,2,2))]. 10159 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [para(10157(a,2),4932(a,1))]. 10160 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(4562(a,1),10159(a,1,1,2)),flip(a)]. 10161 R(T(x,y),z,x) \ (x * (K(x,y) * (a(x,z,x) * u))) = L(u,x \ R(T(x,y),z,x),x). [para(9066(a,1),8432(a,1,2,2))]. 10162 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [para(8472(a,1),7507(a,1)),flip(a)]. 10163 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [para(10162(a,1),8056(a,1)),flip(a)]. 10164 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [para(10163(a,1),8473(a,1))]. 10165 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [para(10164(a,2),7517(a,1))]. 10166 K(T(x,y) * K(x * z,x),u) = K(K(z,x) * T(x,y),u). [para(7711(a,1),10165(a,1,1))]. 10167 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(2788(a,1),10166(a,1,1))]. 10168 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [para(10167(a,2),8463(a,1))]. 10169 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [para(10168(a,1),8463(a,1)),flip(a)]. 10170 K(x,T(x * y,T(y,z))) = K(x,x * y). [para(173(a,1),10169(a,1,2)),flip(a)]. 10171 K(x,T(x * T(y,z),y)) = K(x,x * T(y,z)). [para(7687(a,1),10170(a,1,2))]. 10172 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(10171(a,1),6536(a,2,1))]. 10173 K(x,T(T(x * T(y,z),u),y)) = K(x,T(x * T(y,z),u)). [para(10172(a,2),6535(a,2)),flip(a)]. 10174 T(T(x,y) / T(R(x,z,x),u),R(x,z,x)) = (x \ L(T(x,y),z,x)) * K(u,x). [para(6509(a,1),8856(a,2,2))]. 10176 T(T(x,y) / T(R(x,z,x),u),R(x,z,x)) = T(x,u) \ L(T(x,y),z,x). [para(10174(a,2),7000(a,1))]. 10177 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,v5),u),w)). [para(8949(a,2),8731(a,1))]. 10178 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [para(108(a,1),10177(a,1,2,1,1,1)),flip(a)]. 10179 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [para(9220(a,1),7256(a,1))]. 10180 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(30(a,2),10179(a,1,2))]. 10182 (T(x,y) * (y / x)) * K(x \ y,x) = (x \ y) * ((x \ T(y,x)) \ y). [para(8769(a,1),9411(a,1,2))]. 10183 (x \ y) * ((x \ T(y,x)) \ y) = (y / x) * T(x,y). [para(10182(a,1),6627(a,1))]. 10185 (x \ y) * ((x \ T(y,x)) \ y) = (x * y) / x. [para(10183(a,2),953(a,1))]. 10186 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(61(a,1),10077(a,1,1,2)),flip(a)]. 10187 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3619(a,1),10109(a,1,1)),flip(a)]. 10188 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(10187(a,1),5845(a,1,1)),flip(a)]. 10189 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [para(10188(a,2),4994(a,1))]. 10190 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [para(10189(a,1),8072(a,1)),flip(a)]. 10192 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(4618(a,1),10134(a,2,1))]. 10193 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(8393(a,1),10192(a,1,1))]. 10194 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [para(10193(a,2),7619(a,2))]. 10195 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(9571,a,10194,a)]. 10196 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(6715(a,1),10143(a,1,1))]. 10197 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(4571(a,2),10196(a,1,2))]. 10199 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(5599(a,1),10197(a,1,1))]. 10200 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [para(10199(a,2),6789(a,1))]. 10201 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [para(10200(a,1),1720(a,2))]. 10203 R(T(x,y),z,x) \ (T(x,y) * (a(x,z,x) * u)) = L(u,x \ R(T(x,y),z,x),x). [para(4575(a,1),10161(a,1,2))]. 10204 R(T(x,y),z,x) \ (R(T(x,y),z,x) * u) = L(u,x \ R(T(x,y),z,x),x). [para(10104(a,1),10203(a,1,2))]. 10205 L(x,y \ R(T(y,z),u,y),y) = x. [para(10204(a,1),13(a,1))]. 10206 L(x,K(y,z) * a(y,u,y),y) = x. [para(8403(a,1),10205(a,1,2))]. 10207 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3394(a,1),4439(a,1,2))]. 10208 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4316(a,1),4440(a,1,2)),flip(a)]. 10209 L(x,y * K(z \ 1,z),u) = L(x,y,u). [para(10208(a,2),28(a,2)),flip(a)]. 10212 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(2338(a,1),10209(a,1,2)),flip(a)]. 10213 L(x,y / ((z \ 1) \ 1),u) = L(x,y / z,u). [para(2385(a,1),10209(a,1,2))]. 10214 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2573(a,2),10209(a,1,2))]. 10215 L(x,T((y \ 1) \ 1,z) \ u,w) = L(x,T(y,z) \ u,w). [para(2948(a,1),10209(a,1,2))]. 10216 L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w). [para(3015(a,1),10209(a,1,2))]. 10218 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(8182(a,1),10209(a,1,2))]. 10219 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(5679(a,1),10214(a,1,2))]. 10220 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(8339(a,1),10212(a,1,2,2)),flip(a)]. 10221 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(y \ 1,z) \ 1,x). [para(10216(a,1),10076(a,2))]. 10222 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(7891(a,1),10220(a,1,2,2)),flip(a)]. 10223 K(x,x * y) \ (L(K(x,x * y),z,u) * T(x,y)) = L(K(x * y,x),z,u) \ R(x,y,x). [para(5026(a,2),5602(a,2)),flip(a)]. 10224 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [para(5461(a,1),5110(a,1))]. 10226 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [para(10224(a,2),5297(a,1))]. 10227 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [para(10226(a,1),5110(a,1)),flip(a)]. 10229 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [para(10227(a,1),5297(a,1)),flip(a)]. 10230 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [para(10229(a,1),6630(a,1)),flip(a)]. 10231 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(143(a,1),10230(a,1,1,2)),flip(a)]. 10232 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [para(10230(a,1),5319(a,1)),flip(a)]. 10233 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ (x / ((z \ 1) * x)),z). [para(10231(a,2),3165(a,1))]. 10234 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [para(10231(a,2),7333(a,1))]. 10235 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [para(6800(a,1),4224(a,1)),flip(a)]. 10236 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [para(7282(a,2),9705(a,1))]. 10237 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(8393(a,1),10236(a,1,3))]. 10238 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(10237(a,1),299(a,1,1)),flip(a)]. 10239 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(10238(a,1),8417(a,1,1))]. 10240 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(10239(a,1),1843(a,1,1)),flip(a)]. 10241 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(2906(a,1),7688(a,1,2,1)),flip(a)]. 10242 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(2906(a,1),10241(a,1,2)),flip(a)]. 10244 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(10242(a,1),451(a,1,1,1)),flip(a)]. 10246 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(8694(a,1),8116(a,1,2))]. 10247 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7378(a,1),10246(a,1,2))]. 10249 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(7879(a,1),10247(a,2,1))]. 10250 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [para(10249(a,1),9756(a,1)),flip(a)]. 10251 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(9709,a,10250,a)]. 10252 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [para(10251(a,1),9802(a,1)),flip(a)]. 10253 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(10099(a,1),8427(a,1,1)),flip(a)]. 10254 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [para(10253(a,1),9173(a,1))]. 10256 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(6872,a,10254,a)]. 10258 K(x * T(y,z),T(x,u)) * K(x,T(T(y,u),z)) = a(x,T(y,z),x). [para(38(a,1),10256(a,1,2,2))]. 10259 K(((x \ y) \ y) * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)) = a((x \ y) \ y,z,(x \ y) \ y). [para(6978(a,1),10256(a,1,1))]. 10260 K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7835(a,1),10256(a,1,1,2))]. 10261 K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). [para(9471(a,1),10256(a,1,1))]. 10262 a(x,T(y,z),x) != u * K(x,T(T(y,w),z)) | K(x * T(y,z),T(x,w)) = u. [para(10258(a,1),20(a,1))]. 10263 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [para(8495(a,1),6573(a,1))]. 10264 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [para(8538(a,2),8540(a,1))]. 10265 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [para(10264(a,2),5938(a,1))]. 10266 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [para(10265(a,1),9995(a,1))]. 10267 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [para(10266(a,1),9275(a,2))]. 10269 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [para(10267(a,1),8908(a,1)),flip(a)]. 10270 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(32(a,2),10269(a,1,2,1)),flip(a)]. 10271 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [para(10270(a,1),8715(a,1)),flip(a)]. 10272 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [para(10271(a,2),8905(a,1))]. 10273 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [para(10272(a,1),8650(a,1)),flip(a)]. 10274 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). [para(7434(a,1),8618(a,1,2))]. 10275 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(10274(a,2),7612(a,1))]. 10277 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(13(a,1),8662(a,1,2,1))]. 10279 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(28(a,2),10277(a,1,2))]. 10280 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [para(10279(a,1),7239(a,1)),flip(a)]. 10281 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [para(10280(a,2),6467(a,1))]. 10283 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(14(a,1),10281(a,2,2,2))]. 10285 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(3962(a,1),10283(a,1,1,2))]. 10286 K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). [para(10283(a,1),7106(a,1,2,2))]. 10287 K(x,L(y * ((z * y) \ z),u,w)) = 1. [para(10283(a,1),10022(a,1))]. 10288 K(x,a(y,z,z \ 1) \ 1) = 1. [para(10287(a,1),6142(a,1)),flip(a)]. 10290 K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). [para(10286(a,1),6144(a,1))]. 10291 K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). [para(10283(a,1),10286(a,1,2,2))]. 10292 K(x,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,z,u)). [para(40(a,2),10290(a,1,2,1,1))]. 10293 K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). [para(10292(a,1),5962(a,1)),flip(a)]. 10294 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K((x \ y) \ T(y,x),z \ L(T(x,x \ y),u,w)). [para(852(a,1),10293(a,1,2,2,1)),flip(a)]. 10295 K((x \ y) \ T(y,x),z \ L(L(T(x,x \ y),y,x),u,w)) = K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)). [para(856(a,1),10293(a,1,2,2,1))]. 10296 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [para(10285(a,1),6509(a,1)),flip(a)]. 10298 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [para(10296(a,1),10160(a,1))]. 10299 K(L(x,y * (x \ z),u),y) = K(x,L(y,z,u)). [para(10298(a,1),9377(a,1))]. 10301 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(109(a,1),8878(a,1,2))]. 10302 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [para(10301(a,1),9401(a,2))]. 10303 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [para(10302(a,1),9437(a,1)),flip(a)]. 10304 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(16(a,1),10303(a,1,2,1)),flip(a)]. 10305 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [para(10304(a,2),8180(a,1))]. 10306 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(144(a,1),10305(a,1,2)),flip(a)]. 10307 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(10305(a,1),8879(a,1,2))]. 10308 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [para(10307(a,1),6804(a,1))]. 10309 (x * (y * z)) / (z * y) = x * K(y,z). [para(10308(a,1),145(a,1,1))]. 10311 (x / (y * z)) * K(y,z) = x / (z * y). [para(16(a,1),10309(a,1,1)),flip(a)]. 10312 (x * K(y \ z,y)) * z = x * ((y \ z) * y). [para(10309(a,1),204(a,1,1))]. 10313 ((x / y) * (z * y)) / (y * z) = x / T(y,z). [para(10309(a,2),6823(a,1))]. 10315 (x / (y * z)) \ (x / (z * y)) = K(y,z). [hyper(71,a,10311,a)]. 10316 (x / y) * K(z,z \ y) = x / ((z \ y) * z). [para(14(a,1),10311(a,1,1,2))]. 10317 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(16(a,1),10311(a,1,1,2))]. 10319 K(x,y) * (x / (x * y)) = x / (y * x). [para(10311(a,1),7942(a,1)),flip(a)]. 10320 K(x,y) * (y / (x * y)) = y / (y * x). [hyper(4928,a,10319,a)]. 10321 K(x \ 1,y) * R(x,x \ 1,y) = y / (y * (x \ 1)). [para(140(a,2),10320(a,1,2))]. 10322 K(x \ 1,(x \ y) * x) * (((x \ y) * x) / T((x \ 1) * y,x)) = ((x \ y) * x) / (((x \ y) * x) * (x \ 1)). [para(1686(a,1),10320(a,1,2,2))]. 10323 R(x,K(y \ z,y),z) = x. [hyper(4826,a,10312,a)]. 10324 R(x,K(y,y \ z),z) = x. [para(4751(a,1),10323(a,1,2))]. 10325 (x * K(y,y \ z)) * z = x * (y * (z / y)). [para(10324(a,1),4895(a,1,1)),flip(a)]. 10326 (x \ y) * K(z,z \ T(x,x \ y)) = y / ((z \ T(x,x \ y)) * z). [para(176(a,1),10316(a,1,1))]. 10327 K(x \ y,z * (u / ((x \ y) * x))) = K(x \ y,z * (u / y)). [para(10316(a,1),7179(a,1,2,2))]. 10328 (x / y) * K(z \ y,z) = x / (z * (y / z)). [para(4750(a,1),10317(a,1,2))]. 10329 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [para(10317(a,1),8767(a,2))]. 10330 (x * K(y,y \ z)) \ (x * (y * (z / y))) = z. [hyper(71,a,10325,a)]. 10331 L(x,K(y,y \ x),z) = x. [para(10330(a,1),4894(a,1)),flip(a)]. 10332 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [para(10329(a,1),61(a,1,1)),flip(a)]. 10333 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(10332(a,2),2712(a,2,1))]. 10334 ((x \ y) * x) / T(y * (x \ 1),x) = K(x \ 1,y) * R(x,x \ 1,y). [para(10321(a,2),5843(a,2))]. 10335 (x \ y) * K(z,z \ T(x,x \ y)) = y / T((z \ x) * z,x \ y). [para(4378(a,2),10326(a,2,2))]. 10336 (x \ y) * K(z,z \ T(x,x \ y)) = ((z \ x) * z) \ y. [para(10335(a,2),8964(a,1))]. 10337 K(x,L(y,((x \ z) * x) \ u,w)) = K(x,L(y,z \ u,w)). [para(10336(a,1),10158(a,1,2,2))]. 10338 ((x \ y) * x) / (((x \ y) * x) * (x \ 1)) = K(x \ 1,y) * R(x,x \ 1,y). [para(552(a,2),10334(a,1,2))]. 10340 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). [para(8966(a,2),3169(a,1))]. 10341 K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). [para(464(a,1),10340(a,1,2))]. 10342 K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). [para(10341(a,1),3169(a,1))]. 10343 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [para(10342(a,2),8929(a,1))]. 10344 K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). [para(9049(a,1),8622(a,1)),flip(a)]. 10345 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(6345(a,1),9394(a,1,2))]. 10346 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [para(10345(a,1),8557(a,1)),flip(a)]. 10347 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(109(a,1),9832(a,1,1))]. 10348 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10068(a,1),10073(a,1,2,1))]. 10349 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(4879(a,1),10348(a,1,2))]. 10351 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(6535(a,2),10144(a,1,2,2,1))]. 10352 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [para(10207(a,1),4314(a,1)),flip(a)]. 10353 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [para(10263(a,2),9161(a,1))]. 10354 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [para(10353(a,2),7484(a,1))]. 10356 K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(4906(a,1),10351(a,1,2))]. 10357 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(3479(a,1),10352(a,1,2))]. 10358 R(x,y * K(z \ 1,z),u) = R(x,y,u). [para(10357(a,1),3482(a,1))]. 10359 R(x,1 / y,z) = R(x,y \ 1,z). [para(547(a,1),10358(a,1,2)),flip(a)]. 10360 R(x,((y \ 1) \ 1) \ z,u) = R(x,y \ z,u). [para(2617(a,1),10358(a,1,2))]. 10364 R(1 / (1 / x),1 / y,z) \ 1 = 1 / R(x,y \ 1,z). [para(10359(a,1),3304(a,2,2))]. 10365 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(10359(a,1),3316(a,1,2))]. 10366 (R(1 / (1 / x),1 / y,z) \ 1) \ 1 = R(x,y \ 1,z). [para(10364(a,2),61(a,1,1))]. 10367 R((1 / x) \ 1,1 / y,z) = R(x,y \ 1,z). [para(10366(a,1),3309(a,1)),flip(a)]. 10368 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(2668(a,1),10365(a,1,2,1))]. 10369 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(3768(a,1),10368(a,1,2,1)),flip(a)]. 10370 x * (K(y,z) * R(K(z,T(y,u)),w,v5)) != K(z,y) \ R(K(z,y),w,v5) | K(u,K(y,R(z,w,v5))) = x. [para(10356(a,1),20(a,1)),flip(a)]. 10371 L(K(x,y) / T(x,y),z,u) * K(x,y) = (1 / x) * (T(x,y) * L(x \ 1,z,u)). [para(4757(a,1),4781(a,1,2,2,1)),flip(a)]. 10372 (1 / x) * (T(x,y) * L(x \ 1,z,u)) = L(1 / x,z,u) * K(x,y). [para(4678(a,1),10371(a,1,1,1)),flip(a)]. 10375 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). [para(7313(a,1),5575(a,1,1)),flip(a)]. 10376 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). [para(10375(a,2),5052(a,2)),flip(a)]. 10377 K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). [para(10376(a,1),5052(a,2))]. 10378 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(10377(a,1),4717(a,2,2))]. 10379 (x * (y / x)) * K(y \ x,x * (y / x)) = ((x \ y) \ y) / (x / y). [para(3802(a,1),6018(a,1,2)),flip(a)]. 10380 (x * (y / x)) * K(y \ x,y) = ((x \ y) \ y) / (x / y). [para(8927(a,1),10379(a,1,2))]. 10381 (x * ((x * y) / x)) * K(x / (x * y),x * y) = x / (x / (T(x,y) * y)). [para(6038(a,1),6078(a,1,2))]. 10382 T(x,y * K(x,y)) / (x / (x * y)) = x / (x / (T(x,y) * y)). [para(10381(a,1),6146(a,1)),flip(a)]. 10383 T(x,y) / (x / (x * y)) = x / (x / (T(x,y) * y)). [para(7073(a,1),10382(a,1,1))]. 10384 x / (x / (T(x,T(y,x)) * T(y,x))) = T(x,T(y,x)) / (x / (y * x)). [para(109(a,1),10383(a,1,2,2)),flip(a)]. 10386 x / (x / (T(x,T(y,x)) * T(y,x))) = T(x,y) / (x / (y * x)). [para(3842(a,1),10384(a,2,1))]. 10387 T(x,y) / (x / (y * x)) = x / (x / (x * y)). [para(3555(a,1),10386(a,1,2,2)),flip(a)]. 10388 T(x,y) / R(1 / y,y,x) = x / (x / (x * y)). [para(143(a,2),10387(a,1,2))]. 10389 (x * y) * K(1 / y,x * y) = T(x,y) / R(1 / y,y,x). [para(10388(a,2),5918(a,1)),flip(a)]. 10390 T(x,(T(x,y) / R(1 / y,y,x)) / x) = T(x,y). [para(10389(a,1),6252(a,1,2,1))]. 10391 T(x \ (T(x,y) / R(1 / y,y,x)),x) = T(x,y) \ (T(x,y) / R(1 / y,y,x)). [para(10390(a,1),3914(a,1,1)),flip(a)]. 10392 T((x / R(1 / y,y,x)) / x,x) = T(x,y) \ (T(x,y) / R(1 / y,y,x)). [para(7309(a,1),10391(a,1,1))]. 10393 T(x,y) \ (T(x,y) / R(1 / y,y,x)) = x \ (x / R(1 / y,y,x)). [para(10392(a,1),111(a,1))]. 10394 T(x,y) \ (x / (x / (x * y))) = x \ (x / R(1 / y,y,x)). [para(10388(a,1),10393(a,1,2))]. 10395 T(K(x,(y \ ((z / y) \ 1)) \ 1) \ y,K(x,(((z / y) \ 1) / y) \ 1)) = (z / y) \ T(z,x). [para(7592(a,2),6879(a,1,1))]. 10396 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [para(8270(a,2),9718(a,1))]. 10397 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(10396(a,2),5962(a,1))]. 10399 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(5832(a,1),10397(a,1,2,2))]. 10400 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) / K(y,z). [para(6911(a,1),8504(a,2,1))]. 10401 (R(x,y,z) * (((u * R(x,y,z)) / u) \ x)) / R(x,y,z) = 1 * (R((u * x) / u,y,z) \ x). [para(581(a,2),9104(a,2,2,1))]. 10402 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [para(9219(a,2),8608(a,1))]. 10403 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(7695(a,1),10402(a,1,2,1,2,1))]. 10404 (x \ y) * K((x \ 1) \ (x \ y),y \ z) = x \ T(y,((x \ 1) \ (x \ y)) \ z). [para(14(a,1),9460(a,1,2,2,1))]. 10405 x \ T(y,((x \ 1) \ (x \ y)) \ z) = x \ T(y,y \ z). [para(10404(a,1),5865(a,1))]. 10406 K(x,y \ T(z,z \ x)) = K(x,y \ z). [para(10405(a,1),9288(a,1,2))]. 10407 K(x,y \ ((z \ x) \ x)) = K(x,y \ z). [para(110(a,1),10406(a,1,2,2))]. 10408 K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [para(10407(a,1),5969(a,1))]. 10409 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(9648(a,1),8001(a,1))]. 10410 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(10409(a,1),2889(a,1)),flip(a)]. 10411 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [para(10410(a,1),7972(a,1)),flip(a)]. 10412 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(398(a,1),10411(a,1,2,1,2))]. 10413 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [para(10412(a,1),9464(a,1))]. 10414 K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(4614(a,1),10413(a,1,2,1)),flip(a)]. 10415 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [para(10413(a,1),7972(a,2))]. 10416 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [para(10413(a,1),8001(a,2))]. 10417 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(10413(a,1),7967(a,1,2,2))]. 10418 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(10413(a,1),8139(a,1,1))]. 10419 K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(5003(a,2),10414(a,1,2,1,1))]. 10420 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [para(10417(a,1),4932(a,1))]. 10421 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [para(10420(a,1),7321(a,1)),flip(a)]. 10422 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(10419(a,1),5096(a,2))]. 10423 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [para(10418(a,1),10416(a,1))]. 10424 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [para(10423(a,1),8142(a,1)),flip(a)]. 10425 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [para(10424(a,1),7039(a,2)),flip(a)]. 10426 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [para(10425(a,2),8703(a,1))]. 10427 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(16(a,1),10426(a,1,2,1)),flip(a)]. 10428 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [para(10427(a,1),6613(a,1))]. 10429 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [para(10428(a,2),5962(a,1))]. 10430 K(x,x \ (y * z)) = K(x,y * (x \ z)). [para(10429(a,1),4766(a,1))]. 10431 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [para(10429(a,1),8000(a,1))]. 10432 K(x,x \ (y * (x * z))) = K(x,y * z). [para(13(a,1),10430(a,2,2,2))]. 10433 K(x,(y \ x) * (x \ (y * z))) = K(x,L(z,y,y \ x)). [para(10430(a,1),9281(a,1))]. 10434 K(x,T(x / y,K(y,z)) * (x \ (y * u))) = K(x,L(u,y,x / y)). [para(10430(a,1),9669(a,1))]. 10435 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [para(10431(a,1),7242(a,2))]. 10436 K(x,x \ (y * (z * x))) = K(x,y * z). [para(10432(a,1),7998(a,2))]. 10437 K(L(x,y,z) \ u,(L(x,y,z) \ u) \ (w * (L(x,y,z) \ (x * u)))) = K(L(x,y,z) \ u,w * x). [para(1062(a,2),10436(a,1,2,2,2))]. 10438 K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). [para(10436(a,1),7451(a,1,2)),flip(a)]. 10439 L(K(x,x \ y),y,z) = K(x,x \ y). [para(13(a,1),10435(a,1,3))]. 10441 a(x,y,K(z,z \ y)) = 1. [hyper(34,a,10439,a)]. 10442 K(x \ y,(x \ y) \ z) = K(x \ y,y \ (x * z)). [para(10439(a,1),6107(a,1))]. 10443 K(x,(y * x) \ z) = K(x,x \ (y \ z)). [para(10439(a,1),6106(a,1)),flip(a)]. 10444 K(x,y \ (x \ (y * z))) = K(x,x \ z). [para(10439(a,1),6761(a,1)),flip(a)]. 10446 a(x,y,K(z \ y,z)) = 1. [para(4771(a,1),10441(a,1,3))]. 10447 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(33,a,10446,a)]. 10448 K(x \ (y \ (x * z)),y) = K(y \ z,y). [para(10447(a,1),8516(a,1)),flip(a)]. 10449 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [para(10443(a,1),6668(a,1)),flip(a)]. 10450 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(10444(a,1),7339(a,1,2))]. 10452 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(14(a,1),10448(a,1,1,2,2))]. 10453 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(10448(a,1),8534(a,1,2))]. 10455 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [para(10449(a,1),9441(a,1))]. 10456 K((x * y) \ z,x) = K(x \ (y \ z),x). [para(10452(a,1),8490(a,2))]. 10457 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [para(10452(a,1),8505(a,1))]. 10458 K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [para(1070(a,1),10456(a,1,1,1)),flip(a)]. 10460 K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(8729(a,1),10457(a,1,1,2,1))]. 10461 K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). [para(7185(a,1),10438(a,1,2)),flip(a)]. 10463 R(x,y,K(z \ y,z)) = x. [hyper(570,a,10453,a)]. 10465 R(x,y * z,K(z,y)) = x. [para(13(a,1),10463(a,1,3,1))]. 10466 R(x,y / z,z) = R(x,z \ y,z). [para(10463(a,1),10127(a,1))]. 10467 (x * (y * z)) * K(z,y) = x * (z * y). [para(10465(a,1),371(a,1,1)),flip(a)]. 10468 R(x,y,T(z,y)) = R(x,y,z). [para(10465(a,1),6317(a,1)),flip(a)]. 10472 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(6535(a,2),10468(a,1,3))]. 10475 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [para(10466(a,1),6358(a,1))]. 10476 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [para(10466(a,1),7906(a,1))]. 10477 K(x,L(y,x,z)) = K(x,y). [hyper(7243,a,10467,a)]. 10478 (x * (K(y,z) * (K(y,u) * w))) * K(K(y,u) * w,K(y,z)) = x * (K(y,u) * (w * K(y,z))). [para(6694(a,1),10467(a,2,2))]. 10479 T(x,K(y * z,(u * (z * y)) * K(y,z))) = T(x,K(u,y * z)). [para(10467(a,2),7617(a,1,2,2))]. 10482 L(K(x,y),x * y,z) = K(x,y). [para(10477(a,1),6100(a,2))]. 10484 K(L(x,y,z),y) = K(x,y). [para(10477(a,1),8358(a,2))]. 10485 T(x,L(y,x,z)) = (u * (K(y,x) * K(x,w))) \ (u * T(x,w)). [para(10477(a,1),9232(a,1,1,2,1)),flip(a)]. 10486 L(K(x,y),z,y * x) = K(x,y). [para(10477(a,1),10306(a,1)),flip(a)]. 10490 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(355(a,1),10484(a,1,1))]. 10491 K(L(x,y / z,u),y / z) = K(x,(z / y) \ 1). [para(10484(a,2),5109(a,2)),flip(a)]. 10492 K(L(x,y,z),y) = (u * T(y,x)) \ (u * y). [para(10484(a,2),6814(a,2)),flip(a)]. 10494 L(K(x \ y,x),z,y) = K(x \ y,x). [para(14(a,1),10486(a,1,3))]. 10495 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10486(a,1),9656(a,1,1))]. 10497 (x * y) * K(z \ x,z) = x * (y * K(z \ x,z)). [para(10494(a,1),95(a,1,2))]. 10498 K((x \ y) \ 1,(y \ x) \ z) = K(y \ x,x \ (y * z)). [para(10442(a,1),5861(a,2))]. 10499 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(10455(a,1),6096(a,1,1)),flip(a)]. 10500 K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(8729(a,1),10455(a,1,2,2,1,2))]. 10501 (x * y) \ (K(x,y) * ((y * x) * z)) = L(z,K(x,y),y * x). [para(10495(a,2),213(a,1,2))]. 10503 (x * (y / x)) * K(z \ x,z) = x * (y / (z * (x / z))). [para(10328(a,1),10497(a,2,2))]. 10504 x \ (y * (((y \ x) \ z) \ z)) = K(y \ x,x \ (y * z)). [para(10498(a,1),5290(a,1)),flip(a)]. 10505 ((x \ y) \ y) / (x / y) = x * (y / (y * (x / y))). [para(10503(a,1),10380(a,1)),flip(a)]. 10506 T(x,x \ y) / (x / y) = x * (y / (y * (x / y))). [para(110(a,2),10505(a,1,1))]. 10507 (x / (x * (y / x))) \ (T(y,y \ x) / (y / x)) = T(y,x / (x * (y / x))). [para(10506(a,2),32(a,2,2)),flip(a)]. 10508 T((x * (((x \ y) \ z) \ z)) / y,u) = (y * T(K(x \ y,y \ (x * z)),u)) / y. [para(10504(a,1),311(a,1,1,2,1)),flip(a)]. 10509 T(x,L(y,x,z)) = T(x,y). [para(10485(a,2),9221(a,1))]. 10511 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(10509(a,1),109(a,1,2))]. 10513 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(355(a,1),10509(a,1,2))]. 10515 T(x,y \ (x \ (y * z))) = T(x,x \ z). [para(10509(a,1),8036(a,1)),flip(a)]. 10517 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(10511(a,1),1065(a,1,2,2))]. 10520 L(x,K(y,z),z * y) = L(x,z * y,K(y,z)). [para(10501(a,1),4543(a,1))]. 10521 K(x,T(y \ x,K(y,z)) * (x \ (y * u))) = K(x,L(u,y,x / y)). [para(10434(a,1),9293(a,1)),flip(a)]. 10522 K(x,(y \ x) * (x \ (y * z))) = K(x,L(z,y,x / y)). [para(1924(a,1),10521(a,1,2,1))]. 10523 K(x,L(y,z,x / z)) = K(x,L(y,z,z \ x)). [para(10522(a,1),10433(a,1))]. 10524 K(x,L(y,((x \ z) * x) \ x,x / (((x \ z) * x) \ x))) = K(x,L(y,((x \ z) * x) \ x,(x \ ((z \ x) \ x)) * x)). [para(6161(a,1),10523(a,2,2,3))]. 10525 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = K(L(x,y,z),(u * w) \ v5). [para(10499(a,2),6096(a,1))]. 10526 (x / (x * (y / x))) \ (T(y,y \ x) / (y / x)) = T(y,(x * (y / x)) \ x). [para(10507(a,2),9421(a,1))]. 10527 (x / (x * (y / x))) \ (T(y,y \ x) / (y / x)) = T(y,y \ x). [para(10526(a,2),8245(a,1))]. 10529 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(10490(a,1),9890(a,1)),flip(a)]. 10530 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(10513(a,1),40(a,2))]. 10531 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(9458(a,1),10530(a,1,1))]. 10532 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(10515(a,1),10531(a,1,1)),flip(a)]. 10533 T(L(x,y,z),L(x,y,z) \ x) = L(x,y,z). [para(137(a,1),10532(a,2,1))]. 10534 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10532(a,1),4968(a,1,2,1))]. 10536 (L(x,y,z) \ x) \ x = L(x,y,z). [para(10533(a,1),110(a,1)),flip(a)]. 10537 (L(x,y,z) \ x) * L(x,y,z) = x. [para(10533(a,1),147(a,1,2))]. 10538 x / L(x,y,z) = L(x,y,z) \ x. [para(10533(a,1),176(a,1,2))]. 10539 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(10536(a,1),9923(a,2,1,1))]. 10540 a(x,y,z) = L(z / L(z,y,x),(x * y) \ (x * (y * z)),x * y). [para(10538(a,2),1840(a,2,1))]. 10541 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(9398(a,1),10539(a,1,1))]. 10542 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(10541(a,1),3680(a,2,1))]. 10543 a(x,y,z) = L(z / L(z,y,x),L(z,y,x),x * y). [para(28(a,2),10540(a,2,2))]. 10544 K(x,K(y / L(y,z,u),L(w,y,u * z))) = K(x,K(w,a(u,z,y))). [para(10543(a,2),8462(a,2,2,2))]. 10545 T((x * (((x \ y) \ z) \ z)) / y,u) = (y * K(x \ y,T(y \ (x * z),u))) / y. [para(6535(a,2),10508(a,2,1,2))]. 10546 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [para(10534(a,1),5007(a,1))]. 10547 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(109(a,1),10517(a,1,1,1))]. 10548 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [para(10547(a,1),1467(a,1))]. 10549 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(109(a,1),10548(a,1,2))]. 10550 K(x,y * L(x,y,z)) = K(x,x * y). [para(10549(a,1),6933(a,1))]. 10551 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(10550(a,1),6096(a,1,1))]. 10553 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [para(10551(a,1),6096(a,1))]. 10554 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(10553(a,1),10009(a,1,1))]. 10555 L(K(x,x * y),y,z) = K(x,x * y). [para(8360(a,1),10554(a,1,1))]. 10557 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(10555(a,2),4801(a,1,2))]. 10559 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [para(10555(a,1),6523(a,1)),flip(a)]. 10560 K(x,y \ (z * x)) = K(x,x * (y \ z)). [para(10555(a,1),9999(a,1)),flip(a)]. 10561 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1062(a,1),10560(a,1,2))]. 10562 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(10560(a,1),6096(a,1,1))]. 10563 K(x,x * ((y * z) \ y)) = K(x,z \ x). [para(10560(a,1),6112(a,1))]. 10564 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [para(10560(a,1),6113(a,2))]. 10565 K(x,y \ (x * z)) = K(x,x * (y \ z)). [para(10560(a,1),7985(a,1)),flip(a)]. 10566 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [para(10560(a,1),10415(a,2))]. 10568 L(K(x * y,x),y,z) = K(x * y,x). [para(10557(a,1),5494(a,1)),flip(a)]. 10569 L(K(x * y,y),x,z) = K(y * x,y). [para(5189(a,2),10568(a,1,1))]. 10570 K(x \ (y * z),z) = K(z * (x \ y),z). [para(10568(a,1),9937(a,1)),flip(a)]. 10571 L(K(x * y,y),x,z) = K(x * y,y). [para(10569(a,2),5189(a,2)),flip(a)]. 10572 K(x \ (y * (x * z)),y) = K(z * y,y). [para(10571(a,1),9942(a,1)),flip(a)]. 10573 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(10570(a,1),5263(a,1,1,1,2))]. 10574 K((x \ y) \ z,z) = K(z * (y \ x),z). [para(10570(a,1),6914(a,2))]. 10575 K(x \ (y * z),y) = K(y * (x \ z),y). [para(10570(a,1),7326(a,1)),flip(a)]. 10576 K(x * (y \ (x \ z)),x) = K(y \ z,x). [para(10570(a,1),7327(a,1))]. 10577 K((x \ y) \ z,x) = K(x * (y \ z),x). [para(10570(a,1),8507(a,2))]. 10578 K(x * ((y * x) \ z),x) = K(y \ z,x). [para(10570(a,1),8517(a,1))]. 10579 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [para(10570(a,1),10421(a,2))]. 10582 K((x / y) \ z,y) = K(y * (x \ z),y). [para(16(a,1),10578(a,1,1,2,1)),flip(a)]. 10583 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(10559(a,1),4597(a,2,2))]. 10585 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(10579(a,1),5262(a,1,1,1,2))]. 10586 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [para(10583(a,2),4597(a,2)),flip(a)]. 10587 T(x,y \ (x * z)) = T(x,x * (y \ z)). [para(10586(a,1),10273(a,1)),flip(a)]. 10588 T(x,y \ (z * x)) = T(x,x * (y \ z)). [para(10587(a,1),8009(a,2))]. 10589 T(x,x * (y \ z)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(10588(a,1),6151(a,1,1))]. 10590 L(x,(y \ z) \ 1,x) = L(x,z \ y,x). [para(10589(a,1),5013(a,1))]. 10591 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [para(10562(a,1),6096(a,1))]. 10592 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [para(10591(a,1),9324(a,1)),flip(a)]. 10593 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(10592(a,1),10399(a,1))]. 10594 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [para(10573(a,1),5263(a,1))]. 10595 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [para(10594(a,1),7253(a,2))]. 10596 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(18,a,4436,a(flip),b,10542,a)]. 10597 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [para(10585(a,1),5262(a,1))]. 10598 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(3961(a,1),9675(a,1,2))]. 10599 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [para(10598(a,2),5259(a,1))]. 10600 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(6463(a,1),10599(a,1,1,1,1))]. 10601 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(6403(a,1),10600(a,1,1))]. 10603 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(8854(a,1),10601(a,1,1))]. 10604 T(K(x,(y \ ((z / y) \ 1)) \ 1) \ y,K(((z / y) \ 1) / y,x)) = (z / y) \ T(z,x). [para(10395(a,1),7761(a,1)),flip(a)]. 10605 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(10400(a,2),6792(a,1))]. 10606 (R(x,y,z) * (((u * R(x,y,z)) / u) \ x)) / R(x,y,z) = R((u * x) / u,y,z) \ x. [hyper(67,a,10401,a(flip)),flip(a)]. 10607 (R(x,y,z) * (R((u * x) / u,y,z) \ x)) / R(x,y,z) = R((u * x) / u,y,z) \ x. [para(581(a,2),10606(a,1,1,2,1))]. 10608 R((x * y) / x,z,u) \ y = (y * K(R(y,z,u),x)) / R(y,z,u). [para(6287(a,1),10607(a,1,1)),flip(a)]. 10609 R((x * y) / x,z,y) \ y = T(y,x) / R(y,z,y). [para(6478(a,1),10608(a,2,1))]. 10610 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [para(10609(a,2),6400(a,1))]. 10611 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [para(10610(a,2),8854(a,1))]. 10612 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(10611(a,1),6608(a,1,1,2,1))]. 10613 (x * (y * (T(T(y,z),z) \ u))) * K(K(z,y) * u,K(z,y)) = x * (K(z,y) * (u * K(z,y))). [para(5591(a,1),10478(a,1,1,2))]. 10614 ((x * (K(y,z) * R(z,u,w))) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(6911(a,1),10605(a,1,1,1))]. 10615 (x * (y * (T(T(y,z),z) \ u))) * K(z,K(y,u)) = x * (K(z,y) * (u * K(z,y))). [para(7611(a,1),10613(a,1,2))]. 10616 (x * (y * (T(T(y,z),z) \ u))) * K(y,K(z,u)) = x * (K(z,y) * (u * K(z,y))). [para(7374(a,1),10615(a,1,2))]. 10618 K(x,y * (z * (K(u,x) * (w * K(u,x))))) = K(x,y * (z * (x * (T(T(x,u),u) \ w)))). [para(10616(a,1),7148(a,1,2,2))]. 10619 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * (w * K(u,x)))). [para(10618(a,1),7336(a,1))]. 10620 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * w)). [para(10619(a,2),7262(a,1))]. 10623 R((x * (K(y,z) * z)) / (x * K(y,z)),u,w) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(1825(a,2),10614(a,1,1))]. 10624 R((x * (y * K(z,y))) / (x * K(z,y)),u,w) * x = (x * (K(z,y) * R(y,u,w))) * K(y,z). [para(2784(a,1),10623(a,1,1,1,1,2))]. 10625 R((x * y) / x,z,u) * x = (x * (K(w,y) * R(y,z,u))) * K(y,w). [para(8756(a,1),10624(a,1,1,1))]. 10626 (x * (K(y,z) * R(z,u,w))) * K(z,y) = x * R(z,u,w). [para(10625(a,1),453(a,1))]. 10628 (x * (R(y,z,u) * K(w,y))) * K(y,w) = x * R(y,z,u). [para(2790(a,2),10626(a,1,1,2))]. 10629 L(K(x,y),R(x,z,u),w) = K(x,y). [hyper(8240,a,10628,a)]. 10630 K(x,(y \ z) \ R(x,u,w)) = K(x,z \ (y * R(x,u,w))). [para(10629(a,1),6107(a,1))]. 10631 K(x,(y \ 1) * R(x,z,u)) = K(x,y \ R(x,z,u)). [para(10629(a,1),6123(a,1)),flip(a)]. 10632 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [para(10631(a,1),7158(a,2))]. 10633 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(3365(a,1),4323(a,1,1,2))]. 10634 T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). [para(4921(a,1),8376(a,1)),flip(a)]. 10635 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(9764(a,1),10634(a,1,1,1)),flip(a)]. 10636 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(1720(a,1),10635(a,1,2,2))]. 10637 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(10636(a,1),6815(a,1,1))]. 10638 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(6703(a,1),10637(a,1,1,1)),flip(a)]. 10639 K(x,(y * z) / (y * (u \ z))) * (y * ((u \ z) * T(T(u,u \ z),x))) = y * z. [para(336(a,1),5163(a,1,2))]. 10640 K(x,(y * z) / (y * (u \ z))) * (y * (T(u,x) * (u \ z))) = y * z. [para(160(a,1),10639(a,1,2,2))]. 10641 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(4577(a,1),10640(a,1,2,2))]. 10642 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(78,a,10641,a),flip(a)]. 10643 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(998(a,1),10641(a,1,1,2))]. 10644 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(10641(a,1),4912(a,1,2)),flip(a)]. 10645 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(10641(a,1),8306(a,1,2)),flip(a)]. 10646 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(10641(a,1),8794(a,1,2)),flip(a)]. 10647 K(x,y * (K(z,x \ 1) * u)) = K(x,y * u). [para(10641(a,1),8910(a,1,2)),flip(a)]. 10648 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(10641(a,1),9210(a,1,2,2,1)),flip(a)]. 10649 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(4907(a,1),10647(a,1,2,2)),flip(a)]. 10650 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(8110(a,1),10649(a,1,2,2))]. 10651 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(6007(a,1),10650(a,1,2,2)),flip(a)]. 10652 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(4928,a,10643,a),flip(a)]. 10653 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. [para(7478(a,1),10643(a,1,1))]. 10654 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(6640(a,1),10646(a,1,2,2))]. 10655 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(17,a,188,a,b,10652,a)]. 10656 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(10652(a,1),6765(a,1))]. 10657 (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(10655(a,2),1417(a,1,2))]. 10658 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(10133(a,1),10656(a,1,2))]. 10659 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [para(10654(a,1),8788(a,1))]. 10660 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [para(10659(a,1),8786(a,1))]. 10662 K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). [para(6794(a,1),10660(a,1,2,1)),flip(a)]. 10663 K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). [para(10660(a,1),10180(a,1)),flip(a)]. 10664 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(7347(a,1),10662(a,1,2,1)),flip(a)]. 10665 K(x,R(y,K(x,z) * u,w)) = K(x,R(y,u,w)). [para(4907(a,1),10663(a,1,2,2)),flip(a)]. 10667 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * ((K(x,z) * u) \ 1)). [para(422(a,1),10665(a,1,2)),flip(a)]. 10668 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [para(10664(a,2),10180(a,1))]. 10669 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(10668(a,1),4597(a,2,2)),flip(a)]. 10670 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [para(10644(a,2),8637(a,2))]. 10671 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [para(10669(a,1),4597(a,2)),flip(a)]. 10672 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(4879(a,1),10671(a,1,2,1)),flip(a)]. 10673 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [para(10670(a,1),9638(a,1))]. 10674 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [para(10673(a,2),10642(a,2)),flip(a)]. 10675 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [para(10674(a,1),10644(a,1))]. 10676 K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). [para(10675(a,2),9657(a,1))]. 10677 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [para(10658(a,1),4627(a,1))]. 10678 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(7478(a,1),10653(a,1,2,2,1))]. 10680 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [para(5271(a,1),5543(a,1))]. 10681 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [para(10680(a,1),5303(a,1))]. 10682 K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). [para(10681(a,1),5303(a,1))]. 10684 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [para(10681(a,1),7668(a,1)),flip(a)]. 10686 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(10651(a,1),10684(a,1,1))]. 10687 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [para(10686(a,1),6535(a,2))]. 10688 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [para(10687(a,1),7478(a,1))]. 10690 (x \ L(x,y,z)) * K((L(x,y,z) \ 1) \ 1,u) = (x \ 1) * T(L((x \ 1) \ (x \ x),y,z),u). [para(1504(a,2),5755(a,2,2,1))]. 10691 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(7378(a,1),6895(a,1,2,2))]. 10692 x \ (R(x,y,x) * T(x * (R(x,y,x) \ K(x * y,x)),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(989(a,1),6981(a,1,2,2,1))]. 10693 L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(8604(a,1),9078(a,1,1))]. 10694 K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). [para(10693(a,1),6106(a,1))]. 10695 K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). [para(1805(a,1),10694(a,1,2,1,2))]. 10696 K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). [para(10695(a,1),10415(a,1)),flip(a)]. 10697 K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). [para(10696(a,1),9278(a,1))]. 10698 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). [para(5261(a,1),10697(a,1,2,1)),flip(a)]. 10699 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(6488(a,1),9572(a,2,2,1))]. 10701 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (y * a(x,z,x)). [para(9532(a,1),10699(a,2,2))]. 10702 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = a(x,z,x). [para(10701(a,2),13(a,1))]. 10703 a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,x). [para(10702(a,1),263(a,1)),flip(a)]. 10704 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,x * y)). [para(7395(a,1),9943(a,2,2))]. 10705 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(10349(a,1),4901(a,2))]. 10706 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(3365(a,1),10633(a,1,2))]. 10707 (x \ L(x,y,z)) * K((L(x,y,z) \ 1) \ 1,u) = (x \ 1) * T(L((x \ 1) \ 1,y,z),u). [para(51(a,1),10690(a,2,2,1,1,2))]. 10708 (x \ L(x,y,z)) * K((L(x,y,z) \ 1) \ 1,u) = (x \ 1) * L(T((x \ 1) \ 1,u),y,z). [para(40(a,2),10707(a,2,2))]. 10710 (x \ L(x,y,z)) * K((L(x,y,z) \ 1) \ 1,u) = L(T(x,u),y,z) * (x \ 1). [para(10708(a,2),475(a,1))]. 10711 (x \ L(x,y,z)) * K((L(x,y,z) \ 1) \ 1,u) = x \ L(T(x,u),y,z). [para(10710(a,2),1126(a,1))]. 10712 (x \ L(x,y,z)) * K(L(x,y,z),u) = x \ L(T(x,u),y,z). [para(2889(a,1),10711(a,1,2))]. 10713 K(x \ L(T(x,y),z,u),x) = K(x \ L(x,z,u),x). [para(10712(a,1),7165(a,1,1))]. 10714 K(x \ L(T(x,y),z,u),x) = 1. [para(10713(a,2),4502(a,1))]. 10716 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x * y,T(x,z)) \ 1,K(x * y,x),y). [para(6535(a,2),10691(a,2,1,1))]. 10717 x \ (R(x,y,x) * T(x * (T(x,y) \ 1),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(6374(a,1),10692(a,1,2,2,1,2))]. 10718 x \ (R(x,y,x) * T(K(y,x),z)) = (x \ R(x,y,x)) * T(K(y,x),z). [para(4555(a,2),10717(a,1,2,2,1))]. 10719 x \ (R(x,y,x) * K(y,T(x,z))) = (x \ R(x,y,x)) * T(K(y,x),z). [para(6535(a,2),10718(a,1,2,2))]. 10720 (x \ R(x,y,x)) * T(K(y,x),z) = R(x,y,x) * (x \ K(y,T(x,z))). [para(10719(a,1),987(a,1))]. 10721 (x \ R(x,y,x)) * T(K(y,x),z) = T(x,T(y,z)) \ R(x,y,x). [para(10720(a,2),6747(a,1))]. 10722 K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). [para(10721(a,1),8148(a,1)),flip(a)]. 10723 T(x,T(y,z)) \ R(x,y,x) = K(y * x,T(x,z)). [para(10722(a,1),7608(a,1))]. 10724 K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). [para(10723(a,1),8401(a,1)),flip(a)]. 10725 K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). [para(10724(a,1),8569(a,1,1))]. 10726 K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). [para(6617(a,1),10725(a,1,2))]. 10727 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). [para(10726(a,1),6600(a,1)),flip(a)]. 10728 L(x,T(y \ 1,z) \ 1,x) = L(x,y,x). [para(10727(a,1),10221(a,1)),flip(a)]. 10729 L(x,T(y,z) \ 1,x) = L(x,y \ 1,x). [para(10728(a,1),10215(a,1)),flip(a)]. 10731 L(x,(y / z) \ 1,x) = L(x,(z \ y) \ 1,x). [para(111(a,1),10729(a,1,2,1)),flip(a)]. 10732 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [para(10731(a,2),10590(a,1))]. 10733 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(14(a,2),10732(a,1,2))]. 10734 L(K(x * y,x) * K(z,K(x * y,x)),y,z) = K(z \ (x * (z * y)),x) * K(z,K(x,y)). [para(7426(a,1),10704(a,2,2))]. 10735 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = L(K(y * z,T(y,x)),z,x). [para(7420(a,1),10734(a,1,1)),flip(a)]. 10736 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [para(6573(a,1),10705(a,1,1))]. 10737 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [para(10706(a,1),4230(a,1)),flip(a)]. 10738 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y). [para(6596(a,1),10716(a,2,1))]. 10739 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). [para(10738(a,2),8368(a,1))]. 10740 K(x,T(y / z,y) \ y) \ (K(x,z) * K(y,K(u,y * K(x,z)))) = K(y,T(y * K(x,z),u)). [para(6245(a,2),10739(a,1,1))]. 10743 K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). [para(7089(a,1),10740(a,1,2,2))]. 10744 K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). [para(12(a,1),10743(a,1,2))]. 10745 K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). [para(10744(a,1),4906(a,1)),flip(a)]. 10746 K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). [para(6246(a,1),10745(a,1,1))]. 10747 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [para(10746(a,2),7112(a,1))]. 10748 K(x * K(y,z),x) = K(x,x * K(z,y)). [para(10747(a,1),6330(a,1)),flip(a)]. 10749 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(10748(a,1),5410(a,1,1,1,2))]. 10750 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(4597(a,2),10749(a,1,1,1))]. 10751 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [para(10750(a,1),5378(a,1))]. 10752 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(10751(a,1),10275(a,1,1))]. 10753 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10421(a,1),10752(a,1,1,2,2))]. 10754 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(4336(a,1),10737(a,1,1))]. 10755 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(24(a,2),10754(a,1,1,1))]. 10756 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [para(10755(a,1),2393(a,1))]. 10757 a(x,(y \ 1) \ 1,z) = a(x,y,z). [para(1249(a,1),10756(a,1,2))]. 10758 a(x,y * K(z,z \ 1),u) = a(x,y,u). [para(2584(a,1),10756(a,1,2))]. 10759 K(x,y * (((1 / z) * (K(u,w) * z)) * (u * (T(T(u,w),w) \ z)))) = K(x,y * ((z \ 1) \ K(w,u))). [para(6213(a,1),6300(a,1,2,2))]. 10760 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). [para(9077(a,1),6353(a,1,1))]. 10761 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). [para(6348(a,1),10760(a,2,2))]. 10762 R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). [para(6958(a,1),10761(a,1,1,1))]. 10763 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [para(10762(a,1),59(a,1,2))]. 10765 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [para(10763(a,1),9328(a,1)),flip(a)]. 10766 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(6350(a,1),10765(a,1,1))]. 10767 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(6535(a,2),10766(a,2,1))]. 10768 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(7885(a,1),10767(a,2,1))]. 10769 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(y \ 1,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(3315(a,1),8105(a,1,2,2))]. 10770 K(x,K(y,x / z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(5075(a,1),8171(a,1,1,2))]. 10771 K(x,K(y,z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(7758(a,1),10770(a,1,1))]. 10772 K(x,(y / (1 / (1 / z))) / y) = K(x,y / (y * z)). [hyper(17,a,10148,a(flip),b,10771,a)]. 10773 K(x,(y / z) / y) = K(x,y / (y * z)). [para(10772(a,1),3181(a,1)),flip(a)]. 10776 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(4575(a,1),8212(a,1,1))]. 10777 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [para(10776(a,1),24(a,2)),flip(a)]. 10778 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(4870(a,1),10777(a,1,2)),flip(a)]. 10779 x / T((K(y,z) * K(u,y)) * x,K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(11(a,1),8444(a,1,2,1,1))]. 10780 x / T(K(y,z) * (K(u,y) * x),K(y,u) * K(z,y)) = ((1 * (K(y,z) * K(u,y))) * x) \ x. [para(9763(a,1),10779(a,1,2,1))]. 10781 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / K((z * ((u \ 1) / z)) \ 1,x)). [para(10121(a,2),8965(a,2,2,2))]. 10782 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). [para(9191(a,2),8239(a,1))]. 10783 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(444(a,1),10782(a,2,1,2))]. 10784 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1469(a,1),10783(a,1,2)),flip(a)]. 10785 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [para(10784(a,1),6085(a,1))]. 10786 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [para(10784(a,1),6111(a,1)),flip(a)]. 10787 L(K(x,y),L(x,z,u),w) = (((v5 \ v6) \ v6) * K(y,x)) \ T(v5,v5 \ v6). [para(10784(a,1),8234(a,1,1,2)),flip(a)]. 10788 L(K(x,y),L(x,z,u),w) = K(x,y). [para(10787(a,2),6807(a,1))]. 10790 K(x,(y \ z) \ L(x,u,w)) = K(x,z \ (y * L(x,u,w))). [para(10788(a,1),6107(a,1))]. 10791 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(4906(a,1),9224(a,1,1,1))]. 10792 (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). [para(9807(a,1),9233(a,1,1))]. 10793 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(16(a,1),9362(a,2,1))]. 10794 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [para(10793(a,2),6855(a,1)),flip(a)]. 10795 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ T(K(y \ x,z),u). [para(59(a,1),9402(a,1,2,1)),flip(a)]. 10797 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ K(y \ x,T(z,u)). [para(6535(a,2),10795(a,2,2))]. 10798 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(z,T(x / y,u)) * K(y \ x,T(z,u)). [para(10797(a,2),6597(a,1))]. 10799 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). [para(10798(a,1),7751(a,1))]. 10800 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y,K(z,T(x,u))). [para(10799(a,2),7756(a,1))]. 10802 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(9784(a,1),9792(a,2,2,1,1))]. 10803 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(4796(a,1),10802(a,2,2,1))]. 10805 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(4796(a,1),10803(a,1,1,2,1))]. 10806 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(10805(a,1),364(a,1,1,1)),flip(a)]. 10807 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(10805(a,2),9693(a,1,1))]. 10808 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [para(10805(a,1),4925(a,1)),flip(a)]. 10810 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(7351(a,1),10807(a,1,1,1,2,1))]. 10811 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(61(a,1),10186(a,2,2,2,1,1,2))]. 10812 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(61(a,1),10811(a,1,2))]. 10813 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(10812(a,1),9863(a,1,1))]. 10814 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [para(10813(a,1),6209(a,1)),flip(a)]. 10815 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(109(a,1),10814(a,1,2,2)),flip(a)]. 10816 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [para(10814(a,1),7912(a,1))]. 10817 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [para(10816(a,1),9207(a,1)),flip(a)]. 10818 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [para(10816(a,1),10676(a,1))]. 10819 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(10817(a,1),4597(a,2,2)),flip(a)]. 10820 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(14(a,1),10818(a,1,2,2,2)),flip(a)]. 10821 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(30(a,2),10820(a,2,2))]. 10823 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [para(10821(a,1),9671(a,2))]. 10824 K(x,R(y,x,z)) = K(x,y). [para(10821(a,1),10486(a,1))]. 10825 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(46(a,1),10824(a,1,2))]. 10826 K(1 / x,y / (1 / x)) = K(1 / x,y * x). [para(379(a,1),10824(a,1,2)),flip(a)]. 10829 R(K(x \ y,x),y,z) = K(x \ y,x). [para(10824(a,1),6362(a,1)),flip(a)]. 10830 K(R(x,y,z),y) = K(x,y). [para(10824(a,1),8721(a,2))]. 10831 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [para(10824(a,1),8857(a,2))]. 10832 K(x,y / (z * x)) = K(x,x \ (y / z)). [para(10824(a,1),9250(a,1)),flip(a)]. 10834 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(10830(a,1),4940(a,1,1))]. 10836 K(R(x,y,z),y) = K(R(x,y,u),y). [para(10830(a,2),10830(a,2))]. 10838 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(10836(a,1),8723(a,1,2)),flip(a)]. 10839 K(x / (y * z),y) = K(y \ (x / z),y). [para(10829(a,1),5672(a,1)),flip(a)]. 10840 K(x,(x \ y) / z) = K(x,x \ (y / z)). [para(10832(a,1),7908(a,2))]. 10841 K(x,y / (x * z)) = K(x,x \ (y / z)). [para(10832(a,1),7912(a,1)),flip(a)]. 10842 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [para(10832(a,1),10814(a,1)),flip(a)]. 10844 T(x,R(y,x,z)) = T(x,y). [para(10838(a,2),6478(a,1))]. 10845 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(384(a,1),10844(a,1,2))]. 10849 K(x / (y * z),z) = K(z \ (x / y),z). [para(10839(a,1),8319(a,2))]. 10850 K((x \ y) / z,x) = K(x \ (y / z),x). [para(10839(a,1),8535(a,2))]. 10852 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(13(a,1),10840(a,1,2,1)),flip(a)]. 10853 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(10841(a,1),10819(a,1,2))]. 10854 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(10850(a,1),6639(a,1,1))]. 10855 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(10825(a,1),6367(a,2))]. 10856 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(10823(a,1),370(a,1,1))]. 10857 K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). [para(10826(a,1),9132(a,1,2,2))]. 10859 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [para(10842(a,1),9208(a,1))]. 10860 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(6614,a,10854,a)]. 10861 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [para(10860(a,1),8714(a,1)),flip(a)]. 10862 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(10861(a,1),6793(a,1,1,2)),flip(a)]. 10863 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [para(10859(a,1),10852(a,1))]. 10864 K(x,y / ((x \ z) * u)) = K(x,((z * u) / y) \ x). [para(10863(a,1),6375(a,1))]. 10865 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [para(10834(a,1),4166(a,1))]. 10866 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1063(a,1),10865(a,1,2,1))]. 10867 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(10866(a,1),61(a,1,1)),flip(a)]. 10868 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(256,a,10867,a)]. 10869 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(71,a,10867,a)]. 10870 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(10867(a,1),4431(a,1,2)),flip(a)]. 10871 (x / ((y \ 1) * (L(y,z,u) \ y))) \ (x / (L(y,z,u) \ 1)) = K(y \ 1,L(y,z,u) \ y). [para(10867(a,1),10315(a,1,2,2))]. 10872 R(((L(x,y,z) \ 1) \ (L(x,y,z) \ x)) * (L(x,y,z) \ 1),x \ 1,((L(x,y,z) \ x) \ (L(x,y,z) \ 1)) \ 1) = (((L(x,y,z) \ x) \ (L(x,y,z) \ 1)) \ 1) * (L(x,y,z) \ 1). [para(10869(a,1),6272(a,1,2))]. 10873 (L(x,y,z) \ x) * ((L(x,y,z) \ 1) / ((L(x,y,z) \ 1) * ((L(x,y,z) \ x) / (L(x,y,z) \ 1)))) = T(L(x,y,z) \ x,x \ 1) / ((L(x,y,z) \ x) / (L(x,y,z) \ 1)). [para(10869(a,1),10506(a,1,1,2)),flip(a)]. 10874 ((L(x,y,z) \ 1) / ((L(x,y,z) \ 1) * ((L(x,y,z) \ x) / (L(x,y,z) \ 1)))) \ (T(L(x,y,z) \ x,x \ 1) / ((L(x,y,z) \ x) / (L(x,y,z) \ 1))) = T(L(x,y,z) \ x,(L(x,y,z) \ x) \ (L(x,y,z) \ 1)). [para(10869(a,1),10527(a,1,2,1,2))]. 10875 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [para(10853(a,1),4597(a,2)),flip(a)]. 10876 T(K(x,y),z / (1 / y)) = T(K(x,y),z * y). [para(10857(a,1),9132(a,1))]. 10877 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [para(10876(a,1),8081(a,1))]. 10878 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [para(10877(a,1),6609(a,1))]. 10879 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [para(10862(a,2),4675(a,1))]. 10880 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [para(10879(a,1),6573(a,1)),flip(a)]. 10881 K(x \ (y / z),x) \ y = y * K(x,z \ (x \ y)). [para(10879(a,1),6641(a,1,2)),flip(a)]. 10882 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(59(a,1),10880(a,1,2,1,2)),flip(a)]. 10883 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [para(10882(a,1),7241(a,2))]. 10884 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(10824(a,1),10855(a,1,1))]. 10886 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [para(10856(a,1),6373(a,1))]. 10887 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(4685(a,1),10886(a,2,1))]. 10888 (x * y) * (K(y,x) * z) = (y * x) * z. [para(10887(a,1),9303(a,1)),flip(a)]. 10889 L(x,K(y,z),z * y) = x. [hyper(567,a,10888,a)]. 10890 (x * y) \ ((y * x) * z) = K(x,y) \ z. [hyper(467,a,10888,a)]. 10894 L(x,y * z,K(z,y)) = x. [para(10889(a,1),10520(a,1)),flip(a)]. 10895 K(x,y) \ ((x * y) * z) = (y * x) * z. [para(10894(a,1),5515(a,1,2)),flip(a)]. 10896 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [para(10894(a,1),6255(a,1))]. 10897 L(x,y,z * K(y,z)) = L(x,y,z). [para(10894(a,1),9833(a,1)),flip(a)]. 10899 L(x,y,T(z,y)) = L(x,y,z). [para(4615(a,1),10897(a,1,3)),flip(a)]. 10900 L(x,y,z / y) = L(x,y,y \ z). [para(4618(a,1),10897(a,1,3))]. 10901 L(x,y / z,z) = L(x,z \ y,z). [para(10899(a,1),4133(a,1)),flip(a)]. 10902 L(T(x,y) \ 1,x,T(y,x)) = (x * y) \ y. [para(10899(a,2),5504(a,1))]. 10903 L(K(x,y),z,T(u,K(x,w) * z)) = L(K(x,y),K(x,w) * z,u). [para(10899(a,1),8363(a,1)),flip(a)]. 10904 x * L(y,z,z \ x) = (x / z) * (z * y). [para(10900(a,1),328(a,1,2))]. 10908 L(K(x,y),x * y,z) \ u = (x * y) \ ((y * x) * u). [para(10482(a,2),10890(a,2,1)),flip(a)]. 10909 K(x \ ((y * z) * u),z) = K(x \ ((z * y) * u),z). [para(10895(a,1),7325(a,1,1,2))]. 10910 L(T(x,y) \ z,x,y) = (x * y) \ (y * z). [para(14(a,1),10896(a,2,2,2))]. 10911 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [para(10896(a,2),59(a,1,2))]. 10913 L(T((x / y) \ 1,y * (x / y)) \ 1,(x / y) \ 1,T(y * (x / y),(x / y) \ 1)) = (((y \ x) \ 1) * x) \ (y * (x / y)). [para(9925(a,1),10902(a,2,1))]. 10914 L(K(T(x,y),z),T(x,y) * z,u) \ T(x,z * x) = (T(x,y) * z) \ (x * (z * T(x,y))). [para(7084(a,1),10908(a,2,2))]. 10915 L(K(x,y),z,T(u,K(x,w) * z)) = L(K(x,y),z,u). [para(10903(a,2),8363(a,1))]. 10917 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [para(10845(a,1),42(a,2))]. 10918 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4254(a,1),10883(a,2,2))]. 10919 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [para(10917(a,2),3849(a,1))]. 10920 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [para(10918(a,2),7869(a,1))]. 10921 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [para(10920(a,2),7854(a,1))]. 10922 K(x,x \ T(y,z)) = K(x,T(x \ y,z)). [para(10921(a,1),10477(a,1)),flip(a)]. 10923 K(x,x \ T(x * y,z)) = K(x,T(y,z)). [para(13(a,1),10922(a,2,2,1))]. 10924 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [para(10922(a,1),4387(a,2))]. 10925 x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). [para(10922(a,1),4597(a,2,2)),flip(a)]. 10926 K(x,x \ T(y,z)) \ 1 = K(x \ y,T(x,z)). [para(10922(a,2),6596(a,1,1))]. 10927 K(x,T(T(x,y) \ z,u)) = K(x,x \ T(z,u)). [para(10922(a,2),8175(a,2))]. 10928 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [para(10922(a,1),10190(a,2))]. 10930 K(x,T(y,z) / x) = K(x,T(y / x,z)). [para(4342(a,1),10923(a,1,2))]. 10931 K(x,T(y,z)) \ T(x * y,z) = (x \ T(x * y,z)) * x. [para(10923(a,1),4536(a,1,1))]. 10932 K(x,T(y,x / y) / x) = K(x,y / x). [para(10930(a,2),3169(a,1))]. 10933 K(x,y / x) * T(y,x / y) = x * (T(y,x / y) / x). [para(10932(a,1),4542(a,1,1))]. 10934 T(x,x \ T(y,z)) = T(x,T(x \ y,z)). [para(10925(a,1),4597(a,2)),flip(a)]. 10935 T(T(x,x \ T(y,z)),T(u,x)) = T(T(x,u),T(x \ y,z)). [para(10934(a,2),3846(a,1,1))]. 10936 K(x \ T(y,z),x) = K(x \ y,T(x,z)). [para(10926(a,1),4796(a,1)),flip(a)]. 10937 K(x \ y,T(x,T(T(y,z),u))) = K(x \ y,x). [para(312(a,1),10936(a,1,1,2)),flip(a)]. 10938 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(10928(a,1),4609(a,2,1)),flip(a)]. 10939 K(x,T(y,z)) \ T(x * y,z) = T(y * x,z). [para(10931(a,2),4366(a,1))]. 10940 K(x * y,1 / x) * T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) = (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)). [para(326(a,1),10933(a,1,1,2))]. 10941 T(T(x,y),x \ T(z,u)) = T(T(x,y),T(x \ z,u)). [para(10935(a,1),3846(a,1)),flip(a)]. 10942 T((x \ T(y,x)) \ y,K(z,x \ y)) = T(T(x,y),x \ T(y,z)). [para(10941(a,2),7830(a,2))]. 10943 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [para(10938(a,1),8826(a,1))]. 10944 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(10943(a,2),5362(a,1,2))]. 10945 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [para(10944(a,1),109(a,1)),flip(a)]. 10946 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(10945(a,1),10079(a,1,1))]. 10947 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(10946(a,1),10794(a,1,1)),flip(a)]. 10948 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [para(10947(a,2),8645(a,1))]. 10949 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [para(10948(a,1),4725(a,1))]. 10950 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(15(a,1),10949(a,2,1))]. 10951 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(32(a,2),10950(a,1,3))]. 10952 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(10951(a,1),4696(a,1,2))]. 10953 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [para(10952(a,1),9358(a,1))]. 10954 (K(x * y,z) * y) * T(x,y) != x * u | y * K(x * y,z) = u. [para(10953(a,2),19(a,1))]. 10955 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(10919(a,2),42(a,2)),flip(a)]. 10956 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(10875(a,1),10955(a,1,1))]. 10957 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(15(a,1),10956(a,1,1,2,2)),flip(a)]. 10958 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [para(10957(a,1),220(a,1))]. 10959 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(10957(a,1),4988(a,1,2,1))]. 10960 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(13(a,1),10958(a,1,1,2)),flip(a)]. 10961 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [para(110(a,1),10958(a,1,1))]. 10962 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(221(a,1),10958(a,1,1)),flip(a)]. 10966 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5264(a,1),10961(a,2,1))]. 10967 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(10962(a,1),9296(a,1,2,1)),flip(a)]. 10968 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(988(a,1),10960(a,1,1)),flip(a)]. 10969 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [para(10968(a,2),157(a,1))]. 10970 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(42(a,2),10969(a,2,1))]. 10971 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [para(10970(a,2),502(a,1))]. 10972 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(10971(a,1),4550(a,1,1))]. 10973 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [para(10972(a,1),4550(a,1))]. 10974 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [para(10973(a,1),5189(a,2))]. 10975 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [para(10974(a,2),9629(a,2)),flip(a)]. 10976 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [para(10959(a,1),4988(a,1))]. 10979 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(10976(a,1),4529(a,1,1,2))]. 10980 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [para(10815(a,2),6573(a,1))]. 10981 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [para(10966(a,2),5766(a,1))]. 10982 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(5764(a,1),10981(a,1,1)),flip(a)]. 10983 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(10982(a,1),9531(a,1,2))]. 10984 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5259(a,1),10979(a,1,1))]. 10985 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(10984(a,1),42(a,2))]. 10986 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(4529(a,1),10985(a,1,1)),flip(a)]. 10987 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [para(10986(a,2),44(a,1))]. 10988 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(10987(a,1),1880(a,1,1,1)),flip(a)]. 10989 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [para(10980(a,2),7035(a,1))]. 10990 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [para(10989(a,1),6573(a,1)),flip(a)]. 10991 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [para(10990(a,1),10403(a,1)),flip(a)]. 10992 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [para(10991(a,1),9217(a,1)),flip(a)]. 10994 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [para(10992(a,1),9202(a,1))]. 10995 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(51(a,1),10994(a,1,2,2))]. 10996 R(x,x \ 1,L(x,y,z) \ x) \ ((L(x,y,z) \ x) / (L(x,y,z) \ 1)) = K(x \ 1,L(x,y,z) \ x). [para(140(a,2),10871(a,1,1))]. 10997 L(K(x,T(y,z)),T(x,z) * y,u) \ T(x,y * x) = (T(x,z) * y) \ (x * (y * T(x,z))). [para(6573(a,1),10914(a,1,1,1))]. 10998 (T(x,y) * z) \ (x * (z * T(x,y))) = K(x,T(z,y)) \ T(x,z * x). [para(261(a,1),10997(a,1,1)),flip(a)]. 10999 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(10500(a,1),10546(a,1)),flip(a)]. 11000 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [para(10999(a,1),10525(a,1)),flip(a)]. 11001 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(11000(a,1),10566(a,1)),flip(a)]. 11002 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(12(a,1),11001(a,1,2,2,1))]. 11003 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [para(11002(a,2),5331(a,1))]. 11004 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [para(11003(a,2),10597(a,1))]. 11005 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(12(a,1),11004(a,2,2,2,1))]. 11006 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u). [para(10698(a,2),5332(a,1))]. 11007 K(x,y * (((1 / z) * (K(x,u) * z)) * z)) = K(x,y * ((z \ 1) \ K(u,x))). [para(10759(a,1),10620(a,1)),flip(a)]. 11008 K(x,y * (z * L(K(x,u),z,z \ 1))) = K(x,y * ((z \ 1) \ K(u,x))). [para(8049(a,1),11007(a,1,2,2))]. 11009 K(x,y * ((z \ 1) \ K(u,x))) = K(x,y * z). [para(11008(a,1),7177(a,1))]. 11010 K(x,y * (z \ K(u,x))) = K(x,y * (z \ 1)). [para(11009(a,1),5467(a,1)),flip(a)]. 11012 K((x * (y \ 1)) \ 1,K(z,u)) = K(z,K(u,x * (y \ K(w,u)))). [para(11010(a,2),7726(a,2,2))]. 11013 K(x,K(y,z * (u \ K(w,y)))) = K(x,K(y,z * (u \ 1))). [para(11012(a,1),7726(a,1))]. 11014 K(x,K(y,R(z,u,u \ K(w,y)))) = K(x,K(y,(z * u) * (u \ 1))). [para(7107(a,1),11013(a,1,2))]. 11015 K(x,K(y,R(z,u,u \ K(w,y)))) = K(x,K(y,R(z,u,u \ 1))). [para(358(a,1),11014(a,2,2,2))]. 11016 K(x,K(y,R(z,u,u \ K(w,x)))) = K(z,K(x,R(y,u,u \ 1))). [para(11015(a,1),8561(a,2))]. 11017 K(x,K(y,R(z,u,u \ K(w,x)))) = K(x,K(z,R(y,u,u \ 1))). [para(11016(a,2),7374(a,1))]. 11018 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(5523(a,1),10768(a,1,1))]. 11019 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(z,R(y \ 1,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(7431(a,1),10769(a,1,2))]. 11020 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y). [para(10781(a,2),7095(a,1))]. 11021 K(x,y * K(z \ K(u,x),z)) = K(x,y). [para(3032(a,1),11020(a,1,2,2))]. 11023 K(x,y * (K(z,x) / u)) = K(x,y * (u \ K(z,x))). [para(6055(a,1),11021(a,1,2)),flip(a)]. 11025 K(x,y * (K(z,x) / u)) = K(x,y * (u \ 1)). [para(11023(a,2),11010(a,1))]. 11027 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2082(a,1),10791(a,1,1,2)),flip(a)]. 11028 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(6771(a,1),11027(a,2,1))]. 11029 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(11028(a,2),9601(a,2)),flip(a)]. 11030 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2083(a,1),11029(a,1,1,1))]. 11031 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(4906(a,1),11030(a,1,1))]. 11032 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [para(11031(a,1),9845(a,1))]. 11033 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7441(a,1),11032(a,1,1)),flip(a)]. 11034 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). [para(10792(a,1),9793(a,1))]. 11035 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [para(10870(a,2),4268(a,1))]. 11036 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(11035(a,2),1073(a,1))]. 11037 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(1224(a,1),11036(a,1,2))]. 11038 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(4060(a,1),10983(a,1,2,1)),flip(a)]. 11039 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(59(a,1),11006(a,2,2,1,2))]. 11040 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(5962(a,1),11039(a,1,2,1,1,2,1))]. 11041 K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). [para(11040(a,1),10422(a,1))]. 11042 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(7469(a,1),11018(a,1,1,2))]. 11043 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [para(11042(a,1),8203(a,1))]. 11045 R(K(x,y),L(y,z,u),w) = K(x,y). [para(8484(a,1),11043(a,1,1))]. 11046 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [para(11045(a,1),6241(a,1)),flip(a)]. 11048 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [para(11046(a,2),5931(a,1))]. 11049 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [para(11048(a,1),10354(a,2))]. 11050 K(x / (L(y,z,u) \ w),y) = K((w / x) \ L(y,z,u),y). [para(11049(a,1),7534(a,1)),flip(a)]. 11051 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,R(z,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(8875(a,1),11019(a,1,2))]. 11052 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(10824(a,1),11051(a,1,2,2))]. 11053 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,x * y). [para(3920(a,1),11052(a,2,2))]. 11055 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [para(7808(a,1),11053(a,1,2))]. 11056 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). [para(6573(a,1),11034(a,2,2,1))]. 11057 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). [para(12(a,1),11056(a,2,2))]. 11058 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [para(6050(a,1),1973(a,1))]. 11060 (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(10537(a,1),11058(a,1,1,2,1,2))]. 11061 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (K(x,x \ y) * T(y,z)). [para(4577(a,1),6067(a,2,2))]. 11062 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = K(y,z). [para(11061(a,2),5851(a,1))]. 11063 L(K((x \ 1) \ (x \ y),z),y / x,x) = K(y,z). [para(11062(a,1),4133(a,1)),flip(a)]. 11065 T(L(L(x * K(y,x),y,x),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(4655(a,1),7078(a,1,1,1,1))]. 11066 T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(6268(a,1),11065(a,1,1))]. 11067 T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). [para(11066(a,2),5125(a,1))]. 11068 T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). [para(45(a,1),11067(a,1,1,2))]. 11069 T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). [para(11068(a,1),7693(a,1)),flip(a)]. 11070 T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). [para(11069(a,1),7871(a,1)),flip(a)]. 11071 K(x,L(L(x,y,x),z,u) / (y \ 1)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(11070(a,1),5161(a,1,2,2))]. 11072 K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(6645(a,1),11071(a,1,1))]. 11073 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [para(8041(a,1),5265(a,1))]. 11074 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(4721(a,1),11073(a,1,2)),flip(a)]. 11075 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(1628(a,2),8422(a,1,2,2))]. 11076 T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = K(x * y,z) * ((z * T(x * y,1 / y)) / z). [para(6022(a,1),8469(a,2,2,1,2))]. 11077 T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = K(x * y,z) * T((z * (x * y)) / z,1 / y). [para(315(a,1),11076(a,2,2))]. 11078 T(x / L(y \ 1,y,x),T(L(y \ 1,y,x),z)) = T(x * y,T(1 / y,z)). [para(11077(a,2),8060(a,1))]. 11079 T(x * y,T(1 / y,x)) = L(y \ 1,y,x) \ x. [para(11078(a,1),3541(a,1))]. 11080 T(x * y,T(1 / y,x)) = T(x * y,1 / y). [para(11079(a,2),6022(a,1))]. 11081 ((x * y) * R(L(z,y,x),u,L(z,y,x))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(9547(a,1),9566(a,1,1))]. 11082 (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(337(a,1),11081(a,1,1))]. 11083 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(15(a,1),9597(a,1,1,1)),flip(a)]. 11085 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). [para(10136(a,1),10259(a,1,1)),flip(a)]. 11086 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). [para(6556(a,1),11085(a,2,2))]. 11088 K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). [para(11086(a,1),10703(a,1))]. 11089 K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). [para(38(a,1),11088(a,1,1,2))]. 11091 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(3171(a,1),10261(a,1,1))]. 11092 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [para(10988(a,2),1880(a,1))]. 11093 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(42(a,2),11092(a,2,3))]. 11094 R(x,x \ 1,L(x,y,z) \ x) \ x = K(x \ 1,L(x,y,z) \ x). [para(1066(a,1),10996(a,1,2))]. 11095 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(95(a,1),11075(a,1,2)),flip(a)]. 11096 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(10343(a,1),11091(a,1,1))]. 11097 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5297(a,1),11096(a,1,2))]. 11098 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(7946(a,1),11097(a,1,2))]. 11099 R(T(x,x * y) * L(T(x,x * y) \ 1,z,u),y,x) = T(x,y) * L(T(x,y) \ 1,z,u). [para(3864(a,1),3907(a,2,2,1,1))]. 11100 R(T(x * L(x \ 1,y,z),x * u),u,x) = T(x,u) * L(T(x,u) \ 1,y,z). [para(1885(a,1),11099(a,1,1))]. 11101 R(T(x * L(x \ 1,y,z),x * u),u,x) = T(x * L(x \ 1,y,z),u). [para(11100(a,2),1885(a,1))]. 11102 (K(x,y) * K(x,T(y,z))) \ (T(K(x,y),z) * T(x,x \ y)) = L(R(x,x \ y,x),K(x,y),T(K(x,y),z)). [para(6535(a,2),5233(a,1,1,2))]. 11103 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(899(a,1),5551(a,2,1))]. 11104 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [para(5552(a,1),11103(a,1))]. 11105 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(899(a,1),11104(a,1,1)),flip(a)]. 11106 ((1 / L(x,y,z)) * (1 / (1 / L(x,y,z)))) \ u = L(1 / (1 / x),y,z) \ (L(x,y,z) * u). [para(61(a,1),5646(a,1,2,1)),flip(a)]. 11108 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((y * x) \ x) \ 1,z,u). [para(6048(a,1),6051(a,2,2,1,1))]. 11109 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(x \ (y * x),z,u)). [para(11108(a,2),1537(a,1))]. 11110 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(T(y,x),z,u)). [para(32(a,2),11109(a,2,2,2,1))]. 11111 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (R(y,z,u) * x). [para(162(a,1),11110(a,2,2))]. 11112 (x * y) \ (T(x,y) * R(T(y,x),z,u)) = (y * x) \ (R(y,z,u) * x). [para(3852(a,1),11111(a,1,2,2,1))]. 11113 (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). [para(3856(a,1),11112(a,1,2))]. 11114 ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). [para(104(a,1),11113(a,2,2))]. 11115 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [para(6429(a,1),10648(a,1))]. 11117 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(5148(a,1),6886(a,1,2,2,1))]. 11119 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,y \ (y * x)). [para(8508(a,2),5973(a,1))]. 11120 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,x). [para(13(a,1),11119(a,2,2))]. 11121 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),y \ (y * x)) = K(x \ z,x). [para(11120(a,1),5973(a,1)),flip(a)]. 11122 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),x) = K(x \ z,x). [para(13(a,1),11121(a,1,2))]. 11123 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [para(11122(a,1),8490(a,1)),flip(a)]. 11124 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * (K(z,x) * u)) / (1 * (K(x,y) * K(z,x)))). [para(11(a,2),9768(a,2,2,2))]. 11125 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). [para(10344(a,1),10565(a,1))]. 11126 (K(x,y) \ K(y,T(x,z))) \ (T(K(y,x),z) * T(y,y \ x)) = L(R(y,y \ x,y),K(y,x),T(K(y,x),z)). [para(4906(a,2),11102(a,1,1))]. 11127 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). [para(11125(a,2),11005(a,1))]. 11128 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(11127(a,2),10593(a,1))]. 11129 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2824(a,1),11128(a,1,2))]. 11131 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(11129(a,1),6793(a,1,1,2)),flip(a)]. 11132 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [para(11131(a,2),4675(a,1))]. 11133 T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(11132(a,1),6033(a,1,1,2))]. 11134 T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(10595(a,1),11133(a,1,1,2))]. 11135 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(50(a,1),11134(a,1,1,2,1,2))]. 11136 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5256(a,1),11135(a,1,1))]. 11137 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(11136(a,1),40(a,2))]. 11138 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5101(a,1),11137(a,1,1)),flip(a)]. 11139 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [para(11138(a,1),3960(a,1)),flip(a)]. 11140 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(11139(a,1),337(a,1,2))]. 11141 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(323,a,11140,a),flip(a)]. 11142 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(259,a,11141,a),flip(a)]. 11144 (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(11141(a,1),11082(a,1,1,2))]. 11147 R(x,x \ 1,L(x,y,z)) = T(x,x \ 1). [para(11142(a,2),1195(a,1))]. 11148 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [para(11142(a,2),4722(a,2))]. 11149 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(11142(a,1),9725(a,1,2,2)),flip(a)]. 11150 T(x,x \ 1) \ L(x,y,z) = (x \ 1) * L(x,y,z). [para(11147(a,1),299(a,1,1))]. 11151 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). [para(10975(a,1),11148(a,1,1,2))]. 11152 K(x * L(y,z,u),y) = K(y * x,y). [para(11149(a,2),6931(a,1))]. 11154 K(x * (L(x,y,z) \ u),x) = K(u,x). [para(11152(a,1),7163(a,1))]. 11155 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [para(11152(a,2),8410(a,2)),flip(a)]. 11156 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [para(11152(a,1),10786(a,1)),flip(a)]. 11157 K(1 / L(x,y,z),x) = K(1 / x,x). [para(8728(a,1),11154(a,1,1))]. 11158 K(L(x,y,z) \ u,x) = K(x \ u,x). [para(11154(a,1),10576(a,1)),flip(a)]. 11160 K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). [para(11157(a,1),6286(a,2))]. 11161 K(x / L(y,z,u),y) = K(y \ x,y). [para(11158(a,1),6647(a,2))]. 11162 K(x \ (y * (z * x)),x) = K(y * z,x). [para(123(a,1),11161(a,1,1)),flip(a)]. 11165 K(x \ (y * (x * z)),x) = K(y * z,x). [para(11162(a,1),7666(a,1)),flip(a)]. 11166 K(x \ (y * z),x) = K(y * (x \ z),x). [para(14(a,1),11165(a,1,1,2,2))]. 11167 K(x \ (y * (L(x,z,u) \ (w * x))),x) = K(y * (L(x,z,u) \ T(w,x)),x). [para(1078(a,1),11166(a,2,1,2))]. 11168 K(K(x,y) * (z \ T(y,x)),z) = K(z \ y,z). [para(4562(a,1),11166(a,1,1,2)),flip(a)]. 11169 K(x \ L(y,z,u),y) = K(x \ y,y). [para(11156(a,2),5030(a,1))]. 11171 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11169(a,1),9247(a,1,1,2))]. 11172 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [para(11169(a,1),10785(a,1)),flip(a)]. 11173 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [para(11169(a,1),11050(a,2))]. 11174 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(9739,a,11155,a)]. 11176 L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). [para(11160(a,1),1287(a,1,2))]. 11178 K((T(x,y) / z) \ x,T(x,y) / z) = K(K(y,x) * z,T(x,y) / z). [para(61(a,1),11168(a,1,1,2)),flip(a)]. 11179 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [para(11172(a,2),10574(a,1))]. 11181 K(((L(x,y,z) * u) / w) \ x,x) = K(w / u,x). [para(13(a,1),11173(a,1,1,2)),flip(a)]. 11182 K(x / (y \ z),y) = K((z / x) \ y,y). [para(261(a,1),11173(a,1,1,2,1))]. 11184 K(((L(x,y,z) * (u * x)) / w) \ x,x) = K(w / (L(x,y,z) * T(u,x)),x). [para(1071(a,1),11182(a,1,1,2)),flip(a)]. 11185 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [para(11182(a,1),9174(a,2))]. 11186 K((x * y) / z,x) = K((z / y) \ x,x). [para(11185(a,1),7547(a,1)),flip(a)]. 11187 K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). [para(11185(a,1),8057(a,2))]. 11188 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [para(11185(a,1),10067(a,1)),flip(a)]. 11189 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [para(11186(a,1),10040(a,2))]. 11190 K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). [para(11187(a,1),7296(a,2))]. 11191 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(13(a,1),11189(a,1,1,1)),flip(a)]. 11192 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(13(a,1),11190(a,1,1,1)),flip(a)]. 11193 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(15(a,1),11191(a,1,1,1)),flip(a)]. 11194 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [para(11192(a,1),5031(a,1)),flip(a)]. 11195 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [para(11193(a,1),3165(a,2))]. 11196 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [para(11194(a,1),5189(a,2))]. 11197 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(95(a,1),11179(a,1,1,2))]. 11198 K(1 / x,x) \ (R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). [para(11176(a,1),5487(a,1,2,2,1,2))]. 11199 K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). [para(11176(a,1),10235(a,1,2)),flip(a)]. 11200 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [para(11197(a,1),7666(a,1)),flip(a)]. 11201 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [para(11197(a,1),8511(a,1)),flip(a)]. 11202 K(x \ (y * (x * z)),y) * K(x,K(y,z)) = K((x / (x * z)) \ y,y). [para(11188(a,1),10735(a,2))]. 11203 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [para(11195(a,1),10233(a,1)),flip(a)]. 11204 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(2743(a,2),11203(a,1,1,2))]. 11206 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [para(11204(a,1),10232(a,1)),flip(a)]. 11207 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(11206(a,1),10234(a,1)),flip(a)]. 11210 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [para(11201(a,2),10578(a,1))]. 11211 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [para(11210(a,1),9456(a,1)),flip(a)]. 11212 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(28(a,2),11211(a,2,1))]. 11213 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [para(11212(a,1),10299(a,1))]. 11214 L(K(x,y),z,u) = K(x,L(y,z,u)). [para(11213(a,1),8355(a,1)),flip(a)]. 11215 L(K(x,T(y,z)),u,w) = K(x,T(L(y,u,w),z)). [para(40(a,1),11214(a,2,2))]. 11216 L(K(L(x,y,z) \ 1,x),y,z) = (L(x,y,z) \ 1) * L(x,y,z). [para(11214(a,2),167(a,1))]. 11218 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(11214(a,1),95(a,1,2))]. 11219 L(K(x,y \ z),y,u) = K(x,(u * y) \ (u * z)). [para(97(a,1),11214(a,2,2))]. 11220 L(K(x,y \ (z \ u)),y,z) = K(x,(z * y) \ u). [para(193(a,1),11214(a,2,2))]. 11221 L(K(x,(y \ z) \ u),y \ z,y) = K(x,z \ (y * u)). [para(343(a,1),11214(a,2,2))]. 11222 L(K(x,T(y \ (z \ u),w)),y,z) = K(x,T((z * y) \ u,w)). [para(406(a,1),11214(a,2,2))]. 11223 (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). [para(11214(a,1),340(a,1,2,2))]. 11224 L(K(x,T((y \ z) \ u,w)),y \ z,y) = K(x,T(z \ (y * u),w)). [para(533(a,1),11214(a,2,2))]. 11225 K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11214(a,1),1078(a,1,2,1))]. 11226 x * L(K(x,y),z,u) = T(x,L(y,z,u)). [para(11214(a,2),4597(a,2,2)),flip(a)]. 11227 L(K(x,y),z,u) * x = T(x,L(y,z,u)). [para(11214(a,2),4609(a,2,1)),flip(a)]. 11228 K(L(x,y,z),u) \ w = L(K(u,x),y,z) * w. [para(11214(a,2),4906(a,2,1))]. 11229 L(K(x,y),z,u) \ (K(L(y,z,u),x) \ w) = w. [para(11214(a,2),4909(a,1,1))]. 11230 K(x \ y,L(z,y,y \ 1)) = K(((y \ 1) * x) \ 1,z). [para(11214(a,1),6091(a,1))]. 11231 K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,y \ z,y)). [para(11214(a,1),6103(a,2))]. 11232 x / L(K(y,z),u,w) = x * K(L(z,u,w),y). [para(11214(a,2),6792(a,1,2))]. 11233 K(x,L((y \ 1) \ z,y \ 1,y)) = y * (T(z / (y \ 1),x) \ z). [para(11214(a,1),6785(a,1))]. 11234 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [para(11214(a,1),8150(a,1,2))]. 11235 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11214(a,1),9335(a,1,2))]. 11236 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11214(a,1),9338(a,1,1))]. 11237 ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). [para(11214(a,1),9340(a,1,2))]. 11238 (1 / x) \ (L(x,y,z) \ (L(K(1 / x,x),y,z) \ u)) = (x \ 1) \ (L(x,y,z) \ u). [para(11214(a,2),5347(a,1,2,2,1))]. 11239 (L(K(x,y),z,u) \ K(x,w)) \ T(x,w) = T(x,L(y,z,u)). [para(11214(a,2),10085(a,1,1,1))]. 11240 K(x,L(y,K(z,u),u * z)) = K(x,y). [para(11214(a,1),10889(a,1))]. 11241 x * K(y,L(z,u,u \ x)) = (x / u) * (u * K(y,z)). [para(11214(a,1),10904(a,1,2))]. 11242 K((x \ 1) \ (x \ y),L(z,y / x,x)) = K(y,z). [para(11214(a,1),11063(a,1))]. 11243 K(x,(y * z) \ ((z * y) * u)) = K(x,K(y,z) \ u). [para(350(a,1),11240(a,1,2))]. 11244 T(x,L(y,z,u)) * L(w,x,L(K(x,y),z,u)) = L(K(x,y),z,u) * (x * w). [para(11227(a,1),95(a,1,1))]. 11245 L(K(x,y),z,u) \ y = T(y,L(x,z,u)). [para(11227(a,1),5602(a,2))]. 11246 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [para(11215(a,1),7263(a,1))]. 11247 L(K(x,T(y,z)),u,w) \ z = z * K(L(y,u,w),x). [para(11215(a,2),7515(a,1,1))]. 11248 L(K(x,T(y \ z,u * y)),y,u) = K(x,(u * z) / (u * y)). [para(11215(a,2),7558(a,1))]. 11249 L(K(x,y),z,u) \ R(T(x,L(y,z,u)),w,x) = R(x,w,x). [para(6788(a,1),11229(a,1,2))]. 11250 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(8235,a,11232,a)]. 11251 L(K(x \ (y \ z),u),x,y) = K((y * x) \ z,u). [para(193(a,1),11250(a,2,1))]. 11252 L(K((x \ 1) \ y,z),x \ 1,x) = K(x * y,z). [para(348(a,1),11250(a,2,1))]. 11253 L(K(x,y),z,u) \ R(y,w,y) = R(T(y,L(x,z,u)),w,y). [para(11250(a,2),6788(a,1,1))]. 11254 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [para(11250(a,1),7252(a,1))]. 11255 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(11250(a,1),9333(a,1,2))]. 11256 K(L(x,y,z),u) = K(x,L(u,y,z)). [para(11250(a,1),11214(a,1))]. 11257 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(348(a,1),11256(a,1,1)),flip(a)]. 11258 ((x * y) * K(z,L(u,y,x))) \ (x * (y * T(z,u))) = L(z,y,x). [para(11256(a,1),5794(a,1,1,2))]. 11259 (x / y) * K(z,L(y,u,w)) = x / T(y,L(z,u,w)). [para(11256(a,1),6823(a,1,2))]. 11260 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(669(a,1),11254(a,1,1)),flip(a)]. 11261 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [para(11254(a,1),9642(a,1)),flip(a)]. 11263 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11236(a,1),4575(a,1,2)),flip(a)]. 11264 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [para(11236(a,1),9351(a,1)),flip(a)]. 11265 a(x,y,K(z,y * z)) = 1. [para(11264(a,1),6921(a,1))]. 11266 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(7378(a,2),11264(a,1,3))]. 11267 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(8100(a,1),11255(a,1,2))]. 11268 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [para(11255(a,1),9342(a,1)),flip(a)]. 11269 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(11268(a,1),9580(a,2,2))]. 11270 K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). [para(11268(a,2),11236(a,2))]. 11271 K(x,y / (z * (u * K(x,w)))) = K(x,y / (z * u)). [para(11218(a,1),8327(a,1,2,2))]. 11272 K(x / y,(z * (x / y)) \ (z * u)) = K((y / x) \ 1,(x / y) \ u). [para(11219(a,1),5836(a,1))]. 11273 L(K(x / y,(y \ x) \ z),x / y,u) = K(x / y,(u * (x / y)) \ (u * z)). [para(7113(a,1),11219(a,1,1))]. 11274 K((x * y) \ z,(x \ u) \ y) = K(y \ (x \ z),u \ (x * y)). [para(11251(a,1),6107(a,1))]. 11275 L(K((x \ 1) \ (y \ z),y),x \ 1,x) = K(y \ (x * z),y). [para(11252(a,2),11166(a,2)),flip(a)]. 11276 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(348(a,1),11257(a,1,2))]. 11277 K(x,K(y,z) \ T(u,z * y)) = K(x,(y * z) \ (u * (z * y))). [para(109(a,1),11243(a,1,2,2)),flip(a)]. 11278 L(K(x,y),z,u) \ y = y * K(L(y,z,u),x). [para(108(a,1),11247(a,1,1,1,2))]. 11279 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(18,a,11236,a,b,11270,a),flip(a)]. 11280 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(14(a,1),11279(a,1,2,2))]. 11281 K(x,y / (z * ((u / x) * w))) = K(x,y / (z * ((x \ u) * w))). [para(6998(a,1),11271(a,1,2,2,2))]. 11282 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(14(a,1),11276(a,1,2)),flip(a)]. 11283 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(14(a,1),11282(a,1,1)),flip(a)]. 11284 K(x,(y \ 1) \ (y \ L(z,x / y,y))) = K(x,z). [para(11283(a,1),11242(a,1))]. 11285 K(x,L((y \ 1) \ (y \ z),x / y,y)) = K(x,z). [para(1504(a,2),11284(a,1,2))]. 11286 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K(x,z). [para(10901(a,1),11285(a,1,2))]. 11287 x * ((x \ y) * K(z,(x \ y) \ u)) = y * K(z,y \ (x * u)). [para(11221(a,1),327(a,1,2)),flip(a)]. 11288 K(x,(y \ 1) \ (y \ L(z,y \ x,(y \ x) \ 1))) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [para(11230(a,1),11283(a,1)),flip(a)]. 11289 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [para(11231(a,1),9052(a,1))]. 11290 K(L(x,y,y \ z),T(u,z)) \ z = (z / y) * (y * K(u,x)). [para(11241(a,1),7515(a,2))]. 11291 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [para(11237(a,1),11259(a,1)),flip(a)]. 11292 (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(4035(a,1),11291(a,1,1))]. 11293 K(x,x * y) \ (L(K(x,x * y),z,u) * T(x,y)) = R(T(x,L(x * y,z,u)),y,x). [para(11253(a,1),10223(a,2))]. 11294 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [para(11261(a,1),10529(a,1)),flip(a)]. 11296 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [para(11294(a,1),10458(a,1))]. 11297 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(11294(a,1),10460(a,1))]. 11299 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(11269(a,1),8954(a,2,2))]. 11300 L(K(x,T(y \ z,K(u,w) \ y)),y,K(w,u)) = K(x,(K(w,u) * z) / (K(w,u) * y)). [para(4906(a,2),11248(a,1,1,2,2))]. 11301 K((x \ y) \ 1,T((y \ x) \ z,u * (y \ x))) = K(y \ x,(u * z) / (u * (y \ x))). [para(11248(a,1),5893(a,1)),flip(a)]. 11302 L(K((x \ y) \ z,y),x \ 1,x) = K(y \ (x * z),y). [para(8526(a,1),11275(a,1,1))]. 11303 L(K(x \ ((y \ x) \ z),x),y \ 1,y) = K(x \ (y * (x \ z)),x). [para(10452(a,1),11302(a,1,1))]. 11304 K(L(T(x,y),z,z \ y),u) \ y = (y / z) * (z * K(u,x)). [para(6577(a,2),11290(a,1,1))]. 11305 L(K(x,T(y,z)),u,u \ z) * z = (z / u) * (u * K(x,y)). [para(11304(a,1),11228(a,1)),flip(a)]. 11306 (1 / L(x,y,z)) * (1 / (1 / L(x,y,z))) = L(K(L(x,y,z) \ 1,x),y,z). [para(11216(a,2),4046(a,2))]. 11307 L(L(x,y,z) \ L(L(x,y,z),L(x,y,z) \ 1,L(x,y,z)),u,w) = L(K(L(x,y,z) \ 1,x),y,z). [para(11216(a,2),4477(a,2))]. 11308 (x * (y * K(z,u))) \ (x * (y * T(z,u))) = L(z,y,x). [para(11218(a,1),11258(a,1,1))]. 11309 L(x,y * K(x,z),u) = L(x,y,u). [para(11308(a,1),5782(a,1)),flip(a)]. 11311 L(x,y / x,z) = L(x,x \ y,z). [para(4584(a,1),11309(a,1,2))]. 11312 L(x,K(y,x) * z,u) = L(x,z,u). [para(6708(a,1),11309(a,1,2)),flip(a)]. 11313 L(x,y \ T(z,x),u) = L(x,y \ z,u). [para(6818(a,1),11309(a,1,2)),flip(a)]. 11314 L(x,T(y,K(x,z)),u) = L(x,y,u). [para(7358(a,1),11309(a,1,2)),flip(a)]. 11316 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [para(11311(a,1),407(a,1))]. 11317 L(x,T(x,y) \ z,u) = L(x,x \ z,u). [para(4879(a,1),11312(a,1,2))]. 11318 L(x,T(y,T(x,z)),x) = L(x,y,x). [para(11314(a,1),7824(a,1)),flip(a)]. 11319 L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). [para(111(a,1),11318(a,1,2)),flip(a)]. 11322 K(x,y \ z) \ T(x,(y \ z) * x) = L(x,y \ T(z,x),x). [para(11313(a,2),5021(a,2))]. 11323 L(x,y / T(x,z),x) = L(x,x \ y,x). [para(11319(a,2),11317(a,1))]. 11324 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [para(11323(a,1),9666(a,2))]. 11326 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(11316(a,1),11280(a,2,2))]. 11327 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(w,u,K(x,K(z,y))). [para(11267(a,1),5383(a,1)),flip(a)]. 11328 K(x,K((y / (z \ 1)) / y,y) \ T(u,((y / (z \ 1)) / y) * T(y,z))) = K(x,(((y / (z \ 1)) / y) * y) \ (u * (y * ((y / (z \ 1)) / y)))). [para(5464(a,2),11277(a,1,2,2,2))]. 11329 K(x,y / (x * ((x \ z) * u))) = K(x,x \ (y / ((z / x) * u))). [para(11281(a,1),10841(a,1))]. 11330 x \ (y * K(z,y \ (x * u))) = (x \ y) * K(z,(x \ y) \ u). [hyper(71,a,11287,a)]. 11331 K(x,x \ (y / ((z / x) * u))) = K(x,x \ (y / ((x \ z) * u))). [para(11329(a,1),10841(a,1))]. 11332 K(x / (y \ z),u) \ (y \ z) = y \ (z * K(u,z \ (y * x))). [para(11330(a,2),6660(a,2))]. 11333 K(x / (y \ z),u) \ (y \ z) = y \ (K((y * x) / z,u) \ z). [para(6660(a,2),11332(a,2,2))]. 11334 T(x / (y \ z),u) \ x = y \ (K((y * x) / z,u) \ z). [para(11333(a,1),4960(a,2))]. 11335 T(1 / (x \ y),z) \ 1 = x \ (K(x / y,z) \ y). [para(12(a,1),11334(a,2,2,1,1,1))]. 11336 T(1 / (x \ (x / y)),z) \ 1 = x \ (K(y,T(z,x)) \ (x / y)). [para(7512(a,1),11335(a,2,2,1))]. 11337 T(1 / (x \ (x / y)),z) \ 1 = x \ ((x / y) * K(z,y)). [para(7591(a,1),11336(a,2,2))]. 11338 T(1 / (x \ (x / y)),z) \ 1 = x \ (x / T(y,z)). [para(6823(a,1),11337(a,2,2))]. 11339 K(x,y) \ (z \ (z / x)) = z \ (z / T(x,y)). [para(11338(a,1),6182(a,1)),flip(a)]. 11340 x \ (x / T(y,K(z,u))) = T(x \ (x / y),K(z,u)). [para(11338(a,1),7927(a,1))]. 11341 L(K(x,T((y * K(z,u)) \ w,v5)),K(u,z) \ T(y,K(u,z)),K(u,z)) = K(x,T(T(y,K(u,z)) \ (K(u,z) * w),v5)). [para(7436(a,1),11224(a,1,1,2,1,1))]. 11342 x * (T(y / (x \ 1),z) \ y) = K(z,x * y). [para(348(a,1),11233(a,1,2)),flip(a)]. 11343 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(1 / x) * y))). [para(11342(a,1),3278(a,1,2,2,2)),flip(a)]. 11344 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(5602(a,1),11234(a,1,1))]. 11345 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(11324(a,1),6858(a,1,1)),flip(a)]. 11347 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(6567(a,1),11345(a,1,2,2))]. 11349 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [para(11347(a,2),40(a,2)),flip(a)]. 11350 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(4875(a,1),11349(a,1,2))]. 11351 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(7697(a,2),11350(a,1,2))]. 11352 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [para(11351(a,1),10097(a,1)),flip(a)]. 11353 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [para(11344(a,2),8231(a,1))]. 11354 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [para(11353(a,1),7437(a,1,1))]. 11355 L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). [para(11144(a,1),9540(a,1)),flip(a)]. 11358 a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). [para(16(a,1),11355(a,1,2)),flip(a)]. 11359 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(5933(a,1),11171(a,1,1,2)),flip(a)]. 11360 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [para(11359(a,2),5774(a,1))]. 11361 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1060(a,1),11360(a,1,1))]. 11362 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11361(a,1),9615(a,2,2))]. 11363 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [para(11362(a,2),5783(a,1))]. 11364 K((x / (x * y)) \ z,z) = K(y * z,z) * K(x,K(z,y)). [para(10572(a,1),11202(a,1,1)),flip(a)]. 11365 K((x / (x * y)) \ z,z) = K(z * y,z) * K(x,K(z,y)). [para(5189(a,1),11364(a,2,1))]. 11367 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [para(11365(a,2),7454(a,1))]. 11368 K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). [para(14(a,1),11367(a,1,1,1,2)),flip(a)]. 11369 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [para(11260(a,2),7888(a,1))]. 11370 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [para(13(a,1),11369(a,2,1))]. 11372 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [para(11370(a,1),7888(a,1)),flip(a)]. 11373 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [para(11372(a,1),9868(a,1)),flip(a)]. 11374 K(x \ (y * (L(x,z,u) \ (w * x))),x) = K(y * (L(x,z,u) \ w),x). [para(11167(a,2),7180(a,1))]. 11375 K(((L(x,y,z) * (u * x)) / w) \ x,x) = K(w / (L(x,y,z) * u),x). [para(11184(a,2),8320(a,1))]. 11376 K(x / (L(y,z,u) * w),y) = K(x / (w * y),y). [para(11375(a,1),11181(a,1))]. 11377 K(x / (L(y,z,u) * w),y) = K(y \ (x / w),y). [para(11376(a,2),10849(a,1))]. 11379 x * L(y,z,L(K(z,u),w,v5)) != L(K(z,u),w,v5) * (z * y) | T(z,L(u,w,v5)) = x. [para(11244(a,1),20(a,1)),flip(a)]. 11380 (1 / L(x,y,z)) * (1 / (1 / L(x,y,z))) = (x \ 1) * x. [para(11306(a,2),4478(a,1))]. 11382 L(1 / (1 / x),y,z) \ (L(x,y,z) * u) = ((x \ 1) * x) \ u. [para(11380(a,1),11106(a,1,1)),flip(a)]. 11383 L(x,y,z) \ (((x \ 1) * x) \ u) = L(1 / (1 / x),y,z) \ u. [para(11382(a,1),3289(a,1,2))]. 11387 K(x / y,(z * (x / y)) \ (z * u)) = K((y / x) \ 1,(y \ x) \ u). [para(11273(a,1),5836(a,1))]. 11388 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [para(11296(a,1),11373(a,1)),flip(a)]. 11389 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [para(11388(a,1),10577(a,1)),flip(a)]. 11390 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [para(11389(a,2),9640(a,1))]. 11391 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(11390(a,1),5189(a,2))]. 11392 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(11297(a,1),11373(a,1)),flip(a)]. 11393 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(11392(a,1),6897(a,1)),flip(a)]. 11394 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [para(11393(a,1),5189(a,2))]. 11395 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [para(11394(a,2),9323(a,1))]. 11396 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(50(a,1),11395(a,2,1))]. 11397 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [para(11396(a,1),11391(a,1)),flip(a)]. 11398 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [para(11397(a,1),8461(a,1))]. 11399 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [para(11397(a,1),9326(a,2))]. 11400 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [para(11397(a,1),9640(a,2))]. 11401 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [para(11399(a,1),9323(a,2))]. 11402 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [para(11401(a,1),11289(a,1))]. 11403 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [para(11398(a,2),11200(a,1))]. 11404 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5259(a,1),11151(a,1,1))]. 11405 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5189(a,1),11404(a,1,1,1,2))]. 11406 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(11405(a,1),42(a,2))]. 11407 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5101(a,1),11406(a,1,1)),flip(a)]. 11408 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [para(261(a,1),11407(a,1,3))]. 11409 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11408(a,1),369(a,1,1)),flip(a)]. 11410 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [para(11409(a,2),104(a,1))]. 11411 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10072(a,1),11410(a,1,1,1)),flip(a)]. 11412 K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(4906(a,1),11225(a,1,2))]. 11413 K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11256(a,1),11412(a,1,2,1))]. 11414 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(4627(a,1),11413(a,1,2))]. 11415 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11263(a,1),11414(a,1,2)),flip(a)]. 11416 (1 / x) \ (L(x,y,z) \ (L(K(x \ 1,x),y,z) \ u)) = (x \ 1) \ (L(x,y,z) \ u). [para(1283(a,1),11238(a,1,2,2,1,1))]. 11417 K(x,x * y) \ (L(K(x * y,x),z,u) \ T(x,y)) = R(T(x,L(x * y,z,u)),y,x). [para(5602(a,2),11293(a,1,2))]. 11418 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(11363(a,1),11299(a,1,2))]. 11419 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [para(11418(a,1),7018(a,1))]. 11420 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(11256(a,1),11419(a,2,1))]. 11421 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [para(11420(a,2),11236(a,1))]. 11422 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [para(11421(a,1),13(a,1)),flip(a)]. 11423 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(13(a,1),11422(a,1,3,1)),flip(a)]. 11424 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(4749(a,1),11422(a,1,3)),flip(a)]. 11425 a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). [para(4751(a,1),11422(a,1,3)),flip(a)]. 11426 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(5277(a,1),11422(a,1,3))]. 11427 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(11423(a,2),9689(a,1,1))]. 11428 a(x,y,K(x * z,z)) = 1. [para(11424(a,2),6458(a,1))]. 11429 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). [para(11424(a,1),11415(a,2,2,2))]. 11430 L(K(x * y,y),z,x) = K(x * y,y). [hyper(33,a,11428,a)]. 11431 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(11430(a,1),6539(a,2,1))]. 11432 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(9691,a,11427,a)]. 11433 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(14(a,1),11432(a,1,3,2)),flip(a)]. 11434 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [para(11433(a,1),11425(a,2))]. 11435 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(5996(a,1),11434(a,1,3)),flip(a)]. 11436 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [para(11435(a,1),11426(a,2))]. 11437 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(5861(a,1),11436(a,1,3))]. 11438 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(7960(a,1),11431(a,1,2,2))]. 11439 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [para(6537(a,1),11438(a,1,2)),flip(a)]. 11440 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(11439(a,1),9074(a,1))]. 11441 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(9071(a,1),11440(a,1,2)),flip(a)]. 11442 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [para(14(a,1),11441(a,1,2)),flip(a)]. 11443 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [para(11326(a,1),11400(a,1))]. 11444 (1 / x) \ (L(x,y,z) \ (L((x \ 1) * x,y,z) \ u)) = (x \ 1) \ (L(x,y,z) \ u). [para(167(a,1),11416(a,1,2,2,1,1))]. 11445 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [para(11443(a,2),11403(a,1))]. 11446 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [para(11445(a,1),11231(a,1)),flip(a)]. 11447 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [para(11446(a,1),11400(a,1)),flip(a)]. 11448 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [para(11447(a,1),11402(a,1)),flip(a)]. 11449 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(32(a,2),11448(a,2,1,2))]. 11450 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [para(11449(a,1),10582(a,1)),flip(a)]. 11451 K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). [para(11450(a,1),4912(a,1,2,1)),flip(a)]. 11452 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11450(a,1),10752(a,1,1,2,2))]. 11453 K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). [para(11451(a,2),4912(a,1))]. 11454 (1 / x) \ (L(x,y,z) \ (((x \ 1) * x) \ u)) = (x \ 1) \ (L(x,y,z) \ u). [para(4473(a,1),11444(a,1,2,2,1))]. 11456 (1 / x) \ (L(1 / (1 / x),y,z) \ u) = (x \ 1) \ (L(x,y,z) \ u). [para(11383(a,1),11454(a,1,2))]. 11457 T(1 / x,(1 / x) \ 1) \ (L(1 / (1 / x),y,z) \ u) = ((1 / x) * (1 / (1 / x))) \ ((x \ 1) \ (L(x,y,z) \ u)). [para(11456(a,1),4329(a,1,2)),flip(a)]. 11458 K((x \ y) \ 1,T((y \ x) \ z,x)) = K(y \ x,(y * z) / (y * (y \ x))). [para(14(a,1),11301(a,1,2,2))]. 11459 K(x \ y,(x * z) / (x * (x \ y))) = K((x / y) \ 1,(x \ y) \ z). [para(11458(a,1),7490(a,1))]. 11460 K((x / y) \ 1,(x \ y) \ z) = K(x \ y,(x * z) / y). [para(14(a,1),11459(a,1,2,2)),flip(a)]. 11461 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [para(11429(a,2),4882(a,1))]. 11462 K(x,L((y \ 1) \ (y \ z),y \ x,(y \ x) \ 1)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [para(1504(a,2),11288(a,1,2))]. 11463 L(L(x,y,z) \ L(L(x,y,z),L(x,y,z) \ 1,L(x,y,z)),u,w) = (x \ 1) * x. [para(11307(a,2),4478(a,1))]. 11465 L(L(x,y,z) \ L(L(x,y,z),L(x,y,z) \ 1,L(x,y,z)),u,w) * v5 = (x * (1 / x)) \ v5. [para(11463(a,2),5630(a,2,1)),flip(a)]. 11466 L(L(x,y,z) \ L(L(x,y,z),L(x,y,z) \ 1,L(x,y,z)),u,w) \ v5 = (x * (1 / x)) * v5. [para(11463(a,2),5631(a,1,1))]. 11467 x * L(L(y,z,u) \ L(L(y,z,u),L(y,z,u) \ 1,L(y,z,u)),w,v5) = (y * (1 / y)) \ x. [para(11463(a,2),5634(a,2,2)),flip(a)]. 11468 L(L(x,y,z) \ L(L(x,y,z),L(x,y,z) \ 1,L(x,y,z)),u,w) \ T(x,v5) = (x \ 1) \ K(x,v5). [para(11463(a,2),5852(a,1,1))]. 11469 L(L(x,y,z) \ L(L(x,y,z),L(x,y,z) \ 1,L(x,y,z)),u,w) \ K(v5,v6) = K(v6,v5) \ (x * (1 / x)). [para(11466(a,2),4926(a,2)),flip(a)]. 11470 L(L(x,y,z) \ L(L(x,y,z),L(x,y,z) \ 1,L(x,y,z)),u,w) * v5 = v5 * L(L(x,v6,v7) \ L(L(x,v6,v7),L(x,v6,v7) \ 1,L(x,v6,v7)),v8,v9). [para(11467(a,2),11465(a,2))]. 11471 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(x \ 1) * y))). [para(5084(a,1),11343(a,2,2,2,2))]. 11472 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). [para(2083(a,1),11471(a,2,2))]. 11473 x * (1 / (1 / (x \ (T(y / x,z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). [para(61(a,1),11472(a,1,2,2,2,2,1,1,2))]. 11474 (1 / x) \ K(y,(x \ 1) * z) = x * (1 / (1 / K(y,x \ z))). [para(6783(a,1),11473(a,1,2,2,2)),flip(a)]. 11475 (1 / x) \ K(y,(x \ 1) * z) = x * K(y,x \ z). [para(2083(a,1),11474(a,2,2))]. 11476 (1 / x) \ K(y,(x \ 1) * z) != x * u | K(y,x \ z) = u. [para(11475(a,2),19(a,1))]. 11477 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11453(a,1),11452(a,1,2,1,1))]. 11478 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [para(11477(a,1),10752(a,1))]. 11479 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R(R(1 / y,y,x) \ 1,z,u). [para(3924(a,1),3929(a,2,2,1,1))]. 11480 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R((1 / y) * R((1 / y) \ 1,z,u),y,x). [para(11479(a,2),3239(a,1))]. 11481 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(1587(a,1),11480(a,2,1))]. 11482 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(3852(a,1),11481(a,1,1,2,1))]. 11483 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(3856(a,1),11482(a,1,1))]. 11484 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(6505(a,1),11483(a,1,1)),flip(a)]. 11485 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(8396(a,1),11484(a,1,1)),flip(a)]. 11486 a(x,y,x) * K(z * x,a(x,y,x)) = (R(a(x,y,x),x,z) \ 1) \ 1. [para(11485(a,1),9891(a,1,1,1)),flip(a)]. 11487 a(x,y,x) * K(z * x,a(x,y,x)) = R((a(x,y,x) \ 1) \ 1,x,z). [para(11486(a,2),3308(a,2)),flip(a)]. 11488 a(x,y,x) * K(z * x,a(x,y,x)) = R(a(x,y,x),x,z). [para(9499(a,1),11487(a,2,1))]. 11490 R(a(x,y,x),x,z) = a(x,y,x). [para(11488(a,1),9484(a,1))]. 11491 ((a(x / y,z,x / y) * (x / y)) * y) / x = a(x / y,z,x / y). [para(11490(a,1),106(a,2))]. 11492 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(11490(a,1),366(a,2))]. 11494 ((a(x \ y,z,x \ y) * (y / x)) * x) / y = a(y / x,z,y / x). [para(10195(a,1),11491(a,1,1,1,1))]. 11495 (R(x / y,z,y \ x) * y) / x = a(x / y,z,x / y). [para(10193(a,1),11494(a,1,1,1))]. 11496 (x * R(x \ y,z,x \ y)) / y = a(y / x,z,y / x). [para(451(a,1),11495(a,1,1))]. 11497 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [para(11496(a,2),10195(a,1))]. 11498 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(8397(a,1),11492(a,1,1,1))]. 11499 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(369(a,1),11498(a,1,1))]. 11500 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(11410(a,1),11499(a,1,1))]. 11501 R(a(x,y,x),x * z,u) = a(R(x,z,u),y,R(x,z,u)). [para(11500(a,1),9557(a,1)),flip(a)]. 11502 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = T(y / T(x,y),z) * T(x,x * T(x \ y,z)). [para(4103(a,1),4045(a,1,2)),flip(a)]. 11503 T(x / T(y,x),z) * T(y,y * T(y \ x,z)) = y * T(y \ x,z). [para(11502(a,1),4169(a,1))]. 11504 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(5208(a,1),4957(a,1,1,2,1)),flip(a)]. 11505 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(4796(a,1),11504(a,2,1,2))]. 11507 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(6794(a,1),11505(a,2,1))]. 11508 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(78,a,11507,a)]. 11509 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). [para(11508(a,1),2717(a,1,1,1)),flip(a)]. 11510 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5528(a,1),11509(a,2,1))]. 11511 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5390(a,1),11510(a,1,2,2))]. 11512 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(7705(a,1),11511(a,1,2))]. 11513 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(7873(a,1),11512(a,1,2)),flip(a)]. 11515 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [para(11513(a,2),7944(a,1))]. 11516 K((T(x,y) \ ((x \ 1) \ K(z,x))) \ 1,((x \ K(x,z)) * T(x,y)) \ 1) = K(((x \ 1) \ K(z,x)) \ T(x,y),T(x,y) \ ((x \ 1) \ K(z,x))). [para(11515(a,1),5879(a,1,2,1))]. 11517 K(x,y * (z / y)) \ ((y * (z / y)) / z) = T(y * (z / y),x) / z. [para(10331(a,1),5512(a,1,2)),flip(a)]. 11518 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(4627(a,1),5628(a,1,2))]. 11519 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(11518(a,1),8815(a,1,2,2))]. 11520 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [para(6263(a,2),6905(a,1))]. 11521 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [para(11520(a,2),8375(a,1))]. 11522 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(9734(a,1),11521(a,2,2))]. 11523 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(5860(a,1),11522(a,1,1))]. 11524 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(6261(a,1),11523(a,1,2))]. 11525 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(11524(a,1),9240(a,1)),flip(a)]. 11526 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(8113(a,1),11525(a,1,2))]. 11527 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(11407(a,1),11526(a,1,2))]. 11528 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (K(y,x) * (x \ 1)) * z. [para(5705(a,1),6387(a,2,1,1))]. 11529 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (T(x,y) \ 1) * z. [para(4879(a,1),11528(a,2,1))]. 11531 (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. [para(6386(a,1),11529(a,1,2,1))]. 11532 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(10062(a,1),11531(a,1,2,1))]. 11533 (T(x,y) \ 1) \ ((x \ 1) * z) = K(y,x) \ z. [hyper(467,a,11532,a)]. 11534 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [para(4617(a,2),11532(a,1,2))]. 11535 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [para(11532(a,1),5709(a,1,2))]. 11537 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(11534(a,1),11117(a,1,2,2))]. 11538 L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). [para(11535(a,1),4083(a,1)),flip(a)]. 11539 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). [para(11538(a,1),4145(a,1)),flip(a)]. 11541 ((x \ y) \ y) \ L(z,x \ 1,x) = (((x \ y) \ y) \ 1) * z. [para(11539(a,1),398(a,1,2))]. 11542 K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [para(11539(a,1),10408(a,1,2,1))]. 11544 K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [para(11542(a,1),5969(a,1))]. 11546 K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [para(11544(a,1),11041(a,1)),flip(a)]. 11547 K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). [para(11546(a,1),10995(a,1))]. 11548 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). [para(11547(a,1),6136(a,1))]. 11549 L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). [para(11548(a,1),9302(a,1))]. 11550 L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). [para(11549(a,1),11214(a,1))]. 11551 K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). [para(11550(a,1),11214(a,1))]. 11552 K(x,L(y,z,(x \ (z \ x)) * x)) = K(x,L(y,z,z \ 1)). [para(11551(a,2),9392(a,2))]. 11553 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(197,a,11537,a)]. 11554 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(50(a,1),11553(a,2,1))]. 11555 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = y \ 1. [para(11554(a,2),7700(a,1))]. 11556 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(71,a,11555,a)]. 11558 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). [para(157(a,1),7265(a,1,1)),flip(a)]. 11559 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). [para(9785(a,1),11558(a,2,1))]. 11560 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). [para(11559(a,2),7431(a,1))]. 11562 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [para(11560(a,1),8374(a,1))]. 11563 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [para(1720(a,2),11562(a,2,2))]. 11564 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [para(11562(a,1),7432(a,2))]. 11565 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(11562(a,1),9609(a,1,1))]. 11566 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [para(11563(a,1),38(a,1)),flip(a)]. 11567 T(K(x,y) * z,K(x,u) * K(y,x)) = T(z * K(x,y),K(x,u)). [para(11563(a,1),6768(a,1))]. 11568 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(11563(a,1),7432(a,2))]. 11569 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(11563(a,1),8873(a,1)),flip(a)]. 11570 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [para(11563(a,1),11033(a,2))]. 11571 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [para(11566(a,1),11563(a,1))]. 11572 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(8718(a,1),11568(a,1,1,2)),flip(a)]. 11573 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(11568(a,1),10638(a,2,1))]. 11574 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [para(11571(a,1),4597(a,1)),flip(a)]. 11576 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(1720(a,2),11570(a,1,2,1))]. 11577 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(17,a,11570,a,b,11574,a),flip(a)]. 11578 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(1720(a,2),11577(a,1,1))]. 11579 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(1720(a,1),11578(a,2,2))]. 11580 K(K(x,y) * K(z,x),u) / (K(y,x) * K(x,z)) = 1 / T(K(y,x) * K(x,z),u). [para(11579(a,2),4559(a,1,1))]. 11581 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(17,a,4597,a(flip),b,11576,a)]. 11582 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(11581(a,1),4597(a,2,2)),flip(a)]. 11583 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [para(11581(a,1),11579(a,1))]. 11584 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [para(11565(a,1),4539(a,2)),flip(a)]. 11585 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). [para(6360(a,1),11584(a,1,2,2)),flip(a)]. 11586 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [para(11584(a,2),11577(a,1))]. 11587 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). [para(7395(a,1),11586(a,1,1))]. 11588 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [para(11586(a,1),9610(a,2))]. 11589 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [para(11586(a,2),11581(a,2)),flip(a)]. 11590 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). [para(11587(a,2),11583(a,1))]. 11591 K(x,K(y,z) * K(z,L(z,u,w) * v5)) = K(x,K(y,z)) * K(x,K(z,v5)). [para(9826(a,1),11590(a,1,2)),flip(a)]. 11592 x / T((K(y,z) * x) * K(z,u),K(z,y)) = ((1 * (K(z,u) * K(y,z))) * x) \ x. [para(11567(a,1),10780(a,1,2))]. 11593 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [para(11569(a,1),11564(a,1))]. 11594 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [para(11573(a,2),4539(a,2)),flip(a)]. 11595 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(4906(a,1),11594(a,1,2))]. 11596 K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). [para(11595(a,2),11581(a,1))]. 11597 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [para(11593(a,1),11571(a,1)),flip(a)]. 11598 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [para(11597(a,2),4597(a,1)),flip(a)]. 11599 K(x,K(y,z) * K(z,L(z,u,w) * y)) = 1. [para(11591(a,2),5375(a,1))]. 11600 K(x,y \ L(y,z,L(y,u,w))) = 1. [para(9028(a,1),11599(a,1,2))]. 11601 x / (((y \ L(y,z,L(y,u,w))) \ 1) \ 1) = (((y \ L(y,z,L(y,u,w))) \ 1) \ 1) \ x. [para(11600(a,1),5529(a,1,1,2)),flip(a)]. 11602 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(8872(a,1),11572(a,2,1))]. 11603 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [para(11582(a,1),4572(a,2))]. 11604 (x * (K(y,z) * K(z,u))) / x = T(K(z,u) * K(y,z),x). [para(1720(a,1),11603(a,1,1,2))]. 11605 T(K(x,y) * K(z,x),u) * u = u * (K(z,x) * K(x,y)). [para(11604(a,1),16(a,1,1))]. 11606 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(17,a,4597,a(flip),b,11598,a),flip(a)]. 11607 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(11602(a,2),11566(a,1))]. 11608 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(8718(a,1),11607(a,1,2,2))]. 11609 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [para(11608(a,2),11571(a,1)),flip(a)]. 11610 K(K(x,y) * K(z,x),u) * (K(z,x) * K(x,y)) = 1 / T(K(y,x) * K(x,z),u). [para(11580(a,1),8442(a,1)),flip(a)]. 11611 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(7374(a,1),11588(a,1,2,2,2))]. 11612 x / T(K(y,z) * (x * K(z,u)),K(z,y)) = ((1 * (K(z,u) * K(y,z))) * x) \ x. [para(6497(a,1),11592(a,1,2,1))]. 11613 K(K(x,y),K(y,z)) * T(K(y,z) * K(x,y),u) = 1 / T(K(z,y) * K(y,x),u). [para(11610(a,1),6065(a,1)),flip(a)]. 11614 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [para(11611(a,1),4986(a,1)),flip(a)]. 11615 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(7374(a,1),11614(a,1,1))]. 11616 ((1 * (K(x,y) * K(z,x))) * u) \ u = u / ((u * K(x,y)) * K(z,x)). [para(7439(a,1),11612(a,1,2)),flip(a)]. 11617 ((1 * (K(x,y) * K(z,x))) * u) \ u = u / (u * (K(z,x) * K(x,y))). [para(9214(a,1),11616(a,2,2))]. 11618 x / (x * (K(y,z) * K(z,u))) = ((K(z,u) * K(y,z)) * x) \ x. [para(11(a,1),11617(a,1,1,1)),flip(a)]. 11619 x / (x * (K(y,z) * K(z,u))) = (K(z,u) * (K(y,z) * x)) \ x. [para(9763(a,1),11618(a,2,1))]. 11620 1 / T(K(x,y) * K(y,z),u) = 1 * T(K(y,x) * K(z,y),u). [para(1718(a,1),11613(a,1,1)),flip(a)]. 11621 1 / T(K(x,y) * K(y,z),u) = T(K(y,x) * K(z,y),u). [hyper(67,a,11620,a(flip)),flip(a)]. 11623 T(K(x,y) * K(z,x),u) \ 1 = T(K(y,x) * K(x,z),u). [para(11621(a,1),61(a,1,1))]. 11624 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). [para(8559(a,1),11585(a,2,2))]. 11625 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [para(11624(a,2),11584(a,1))]. 11626 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(6360(a,1),11625(a,1,1,2))]. 11627 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). [para(8982(a,1),8984(a,1,2,1,1)),flip(a)]. 11628 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). [para(11627(a,2),3255(a,1))]. 11630 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(899(a,1),11628(a,2,1))]. 11631 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(899(a,1),11630(a,1,1))]. 11632 a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). [para(11631(a,1),11235(a,1,2,2))]. 11633 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(10603(a,1),10612(a,1,1,2))]. 11634 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(8551(a,1),11633(a,1,1))]. 11635 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(42(a,2),11634(a,1,2))]. 11636 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(181(a,1),11635(a,1,2,1))]. 11637 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(11636(a,1),8859(a,1)),flip(a)]. 11638 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(11637(a,1),9780(a,1)),flip(a)]. 11639 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [para(11638(a,1),9085(a,1))]. 11641 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(6720(a,1),11639(a,2,2))]. 11642 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [para(11641(a,2),4008(a,1))]. 11643 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(10611(a,1),11642(a,1,1,1))]. 11644 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(10603(a,1),11643(a,1,1)),flip(a)]. 11645 R(x * K(y,x),z,x) \ u = K(x,y) * (R(x,z,x) \ u). [para(11644(a,1),4577(a,1))]. 11646 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(13(a,1),11074(a,2,1,1))]. 11647 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [para(11646(a,2),9014(a,1))]. 11648 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(13(a,1),11647(a,1,1,1))]. 11650 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(13(a,1),11648(a,1,2,2))]. 11651 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(5441(a,1),11650(a,1,2,1,3))]. 11652 (x * (y * (z * K(u \ 1,u)))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(4237(a,1),4300(a,1,1,2))]. 11653 ((T(x,(1 / y) \ z) * (z * y)) / T(x,(1 / y) \ z)) / y = z * K(x,(z \ (1 / y)) \ 1). [para(5126(a,2),5426(a,1))]. 11654 ((x * y) * K(T(z,(1 / y) \ x),x * y)) / y = x * K(z,(x \ (1 / y)) \ 1). [para(4572(a,1),11653(a,1,1))]. 11655 ((x * y) * K(z,x * y)) / y = x * K(z,(x \ (1 / y)) \ 1). [para(6586(a,1),11654(a,1,1,2))]. 11656 ((x * y) * K(z,x * y)) / y = x * K(z,(1 / y) \ x). [para(5962(a,1),11655(a,2,2))]. 11657 ((x * y) * K(z,x * y)) / y = x * K(z,(y \ 1) \ x). [para(5083(a,1),11656(a,2,2))]. 11658 (x * K(y,(z \ 1) \ x)) * z = (x * z) * K(y,x * z). [para(11657(a,1),16(a,1,1))]. 11659 (x \ y) * K(z,(x \ 1) \ (x \ y)) = x \ (y * K(z,y)). [hyper(18,a,5427,a(flip),b,11658,a)]. 11660 (x \ y) \ (x \ (y * K(z,y))) = K(z,(x \ 1) \ (x \ y)). [hyper(71,a,11659,a)]. 11661 (x \ K(y,z)) \ (x \ K(y,T(z,u))) = K(u,(x \ 1) \ (x \ K(y,z))). [para(7420(a,1),11660(a,1,2,2))]. 11662 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). [para(8863(a,1),6290(a,1))]. 11663 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). [para(11662(a,2),3313(a,1))]. 11665 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(2580(a,1),11663(a,1,2,1)),flip(a)]. 11667 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [para(9835(a,1),9760(a,1)),flip(a)]. 11669 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [para(11667(a,1),10777(a,1)),flip(a)]. 11670 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(9728(a,1),11669(a,2,2,2))]. 11672 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(14(a,1),11670(a,2,2,2,1))]. 11673 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(13(a,1),11672(a,2,2))]. 11675 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [para(11673(a,2),9746(a,1))]. 11676 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(11675(a,1),10778(a,1))]. 11678 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(9855(a,1),9856(a,2,2,1,1))]. 11679 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(61(a,1),11678(a,2,2,1))]. 11681 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(11679(a,2),3462(a,1))]. 11682 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(61(a,1),11681(a,1,1,2,1))]. 11683 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(3462(a,1),11682(a,1,1))]. 11684 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [para(11683(a,1),2047(a,1)),flip(a)]. 11685 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(11684(a,1),4175(a,1,1,1))]. 11686 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(11685(a,1),550(a,1)),flip(a)]. 11687 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(104(a,1),11686(a,1,1,2))]. 11688 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(24(a,2),11687(a,1,1)),flip(a)]. 11689 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(T(x,x \ y),u,w)). [para(10294(a,2),6474(a,1))]. 11691 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(x,u,w)). [para(11689(a,2),10293(a,1))]. 11693 K(x \ 1,y) * (((x \ y) * x) / T((x \ 1) * y,x)) = ((x \ y) * x) / (((x \ y) * x) * (x \ 1)). [para(5547(a,1),10322(a,1,1))]. 11694 ((x \ y) * x) / T((x \ 1) * y,x) = R(x,x \ 1,y). [hyper(17,a,10338,a(flip),b,11693,a)]. 11695 R(x,x \ 1,(x \ y) * x) = R(x,x \ 1,y). [para(11694(a,1),1690(a,1)),flip(a)]. 11696 R(x,x \ 1,x * (y / x)) = R(x,x \ 1,y). [para(63(a,1),11695(a,1,3)),flip(a)]. 11697 R(x,x \ 1,y \ T(x,y \ 1)) = R(x,x \ 1,y \ x). [para(3598(a,2),11696(a,1,3))]. 11698 R((1 / x) \ 1,1 / x,y \ x) = R(x,x \ 1,y \ T(x,y \ 1)). [para(11697(a,2),10367(a,2))]. 11699 T((x \ y) / ((1 / y) * (x \ y)),y \ 1) = R(y,y \ 1,x \ T(y,x \ 1)). [para(11698(a,1),2870(a,2))]. 11700 T((L(x,y,z) \ x) / ((L(x,y,z) \ x) / x),x \ 1) = R(x,x \ 1,L(x,y,z) \ T(x,L(x,y,z) \ 1)). [para(5742(a,1),11699(a,1,1,2))]. 11701 R(x,x \ 1,L(x,y,z) \ T(x,L(x,y,z) \ 1)) = T(x * K(L(x,y,z) \ 1,x),x \ 1). [para(5280(a,1),11700(a,1,1)),flip(a)]. 11702 R(x,x \ 1,L(x,y,z) \ T(x,L(x,y,z) \ 1)) = (x \ 1) \ K(L(x,y,z) \ 1,x). [para(11701(a,2),2021(a,1))]. 11703 R(x,x \ 1,L(x,y,z) \ x) = (x \ 1) \ K(L(x,y,z) \ 1,x). [para(11702(a,1),11697(a,1)),flip(a)]. 11704 R(x,x \ 1,L(x,y,z) \ x) = x * a(z,K(x,x \ 1),y). [para(11703(a,2),8947(a,1))]. 11705 (x * a(y,K(x,x \ 1),z)) \ x = K(x \ 1,L(x,z,y) \ x). [para(11704(a,1),11094(a,1,1))]. 11706 K(x \ 1,L(x,y,z) \ x) = (x * 1) \ x. [para(4275(a,1),11705(a,1,1,2)),flip(a)]. 11707 K(x \ 1,L(x,y,z) \ x) = x \ x. [para(12(a,1),11706(a,2,1))]. 11709 K(x \ 1,L(x,y,z) \ x) = 1. [hyper(138,a,11707,a(flip)),flip(a)]. 11710 T(x \ 1,L(x,y,z) \ x) = x \ 1. [hyper(37,a,11709,a)]. 11712 T(L(x,y,z) \ x,x \ 1) = L(x,y,z) \ x. [hyper(35,a,11710,a)]. 11713 (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). [para(4906(a,1),10657(a,1,1,2))]. 11714 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10413(a,1),10753(a,1,2,1,1))]. 11715 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(9774(a,2),11124(a,2,2,1))]. 11716 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(11652(a,1),4243(a,1)),flip(a)]. 11717 ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). [para(8251(a,1),11713(a,1,1))]. 11718 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [para(11714(a,1),10752(a,1))]. 11719 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [para(11718(a,1),8712(a,1))]. 11720 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [para(11719(a,1),7481(a,1)),flip(a)]. 11721 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [para(11720(a,1),7907(a,1))]. 11722 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(11721(a,1),10475(a,1,1))]. 11723 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [para(11722(a,1),10476(a,1)),flip(a)]. 11724 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [para(11723(a,1),10864(a,1))]. 11725 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [para(11724(a,1),6430(a,1))]. 11726 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(30(a,2),11725(a,1,2,1)),flip(a)]. 11727 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(382(a,1),11726(a,2,2,1))]. 11729 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(5996(a,1),11726(a,1,1)),flip(a)]. 11730 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(10967(a,1),11726(a,1,1))]. 11731 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(11729(a,1),11730(a,1,1)),flip(a)]. 11732 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(5185(a,1),11727(a,1,1))]. 11733 T(K(x,y) * K(z,x),u) * u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(11(a,2),11715(a,2,1))]. 11734 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(u \ 1,u)). [para(11716(a,1),4445(a,1))]. 11735 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [para(11734(a,1),3372(a,1))]. 11736 a(x,y,1 / z) = a(x,y,z \ 1). [para(547(a,1),11735(a,1,3)),flip(a)]. 11737 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [para(2615(a,1),11735(a,1,3)),flip(a)]. 11739 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(4326(a,1),11737(a,1,3))]. 11740 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [para(11737(a,1),4446(a,2))]. 11741 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(2584(a,1),11740(a,1,1,1,2,2))]. 11743 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(3878(a,1),3801(a,1,1,2)),flip(a)]. 11744 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [para(11743(a,2),1434(a,1))]. 11745 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(3796(a,1),11744(a,1,3))]. 11746 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(11745(a,1),6397(a,1,1,1))]. 11747 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(11745(a,1),11746(a,1,2))]. 11748 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(230,a,11747,a)]. 11749 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [para(11748(a,1),4309(a,1)),flip(a)]. 11750 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(11749(a,1),147(a,1,2))]. 11751 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(61(a,1),3810(a,1,1,2))]. 11752 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(40(a,2),11751(a,1,1))]. 11753 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2502(a,1),11752(a,1,1))]. 11754 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(61(a,1),11753(a,1,2,2,2))]. 11755 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(40(a,2),11754(a,1,2,2))]. 11756 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2502(a,1),11755(a,1,2,2))]. 11757 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(13(a,1),11756(a,1,2))]. 11759 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(11757(a,1),10369(a,1,1)),flip(a)]. 11760 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(11759(a,1),61(a,1,1))]. 11761 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [para(11760(a,1),2945(a,1)),flip(a)]. 11762 L(T(x,y) \ (x * y),T(x,y),L((x * y) / T(x,y),z,u)) = T(y,T(x,y) * L(T(y,x),z,u)). [para(124(a,1),3886(a,2,1))]. 11763 L(T(x,y) \ (x * y),T(x,y),L((x * y) / T(x,y),z,u)) = T(y,L(y,z,u) * T(x,y)). [para(3855(a,1),11762(a,2,2))]. 11764 L(x \ (y * z),x,K(y * z,y)) = (K(y,T(y,y * z) * z) \ x) \ T(T(T(y,y * z) * z,y),y). [para(7127(a,1),5670(a,1,3))]. 11766 (K(x,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(7377(a,1),8170(a,1,1,2))]. 11767 (x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(4906(a,1),8724(a,1,1,2,2))]. 11768 (R(T(x,y),z,x) \ T(x,u)) * K(x \ L(T(x,u),z,x),R(x,z,x)) = T(T(x,u) / T(R(x,z,x),y),R(x,z,x)). [para(8255(a,1),8855(a,1,1))]. 11769 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). [para(5801(a,1),8952(a,1,1)),flip(a)]. 11770 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). [para(11769(a,2),4974(a,1))]. 11772 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). [para(11770(a,2),4627(a,1))]. 11773 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(5801(a,1),11772(a,1,2))]. 11775 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [para(11773(a,1),7077(a,1)),flip(a)]. 11776 T((x / L(y,z,u)) * K(y,w),L(y,z,u)) = (L(y,z,u) \ x) * K(y,w). [para(111(a,1),11775(a,2,1))]. 11777 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [para(11775(a,2),11263(a,1))]. 11778 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(11777(a,1),4637(a,1,1))]. 11779 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(11777(a,1),4726(a,1,1))]. 11780 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). [para(9763(a,1),9231(a,2,2))]. 11781 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7539(a,1),10260(a,1,1))]. 11782 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9815(a,1),11781(a,1,1))]. 11783 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(5861(a,1),11782(a,1,2))]. 11784 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9088(a,1),11783(a,1,2))]. 11785 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(8556(a,1),10810(a,1,1,1,2))]. 11786 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [para(11519(a,1),7385(a,1))]. 11787 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [para(11786(a,1),7374(a,1)),flip(a)]. 11789 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(8032(a,1),11787(a,1,2))]. 11790 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [para(11789(a,1),8779(a,1)),flip(a)]. 11791 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / T(K(x,y \ z),u). [para(7793(a,1),11766(a,1,1)),flip(a)]. 11792 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / K(x,T(y \ z,u)). [para(6535(a,2),11791(a,2,2))]. 11793 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) * K(y \ z,T(x,u)). [para(11792(a,2),6805(a,1))]. 11794 R(K(x,K(y,z)),K(x,z \ y),K(K(x,z \ y),u)) = K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)). [para(7395(a,1),11793(a,1,1))]. 11795 K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(11794(a,1),5814(a,1))]. 11796 (x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(4874(a,1),11767(a,1,1,2))]. 11797 (x * (K(y,z) * u)) * K(z,L(y,K(y,z) * (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(4906(a,1),11796(a,1,2,2,2))]. 11798 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(10156(a,1),11797(a,1,2))]. 11799 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(8457(a,1),11798(a,1,2))]. 11801 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(4906(a,1),11799(a,2,2,1,1))]. 11802 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(7441(a,1),11801(a,2,2,1))]. 11803 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(7801(a,2),11802(a,2,2))]. 11804 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(16(a,1),11803(a,2,2,1))]. 11805 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(11804(a,1),7225(a,1,1,2))]. 11806 (R(T(x,y),z,x) \ T(x,u)) * K(x \ L(T(x,u),z,x),x) = T(T(x,u) / T(R(x,z,x),y),R(x,z,x)). [para(6509(a,1),11768(a,1,2))]. 11808 T(T(x,y) / T(R(x,z,x),u),R(x,z,x)) = (R(T(x,u),z,x) \ T(x,y)) * 1. [para(10714(a,1),11806(a,1,2)),flip(a)]. 11809 T(T(x,y) / T(R(x,z,x),u),R(x,z,x)) = R(T(x,u),z,x) \ T(x,y). [hyper(75,a,11808,a(flip)),flip(a)]. 11811 R(T(x,y),z,x) \ T(x,u) = T(x,y) \ L(T(x,u),z,x). [para(11809(a,1),10176(a,1))]. 11812 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). [para(8781(a,1),11780(a,2,2))]. 11813 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). [para(11812(a,2),6180(a,1))]. 11814 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). [para(7396(a,1),11813(a,2,1))]. 11815 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). [para(7675(a,1),11814(a,2,2))]. 11817 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [para(11815(a,2),11590(a,1))]. 11818 K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). [para(9226(a,1),11817(a,1,2))]. 11820 (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). [para(11818(a,1),11057(a,1,2))]. 11821 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(11615(a,1),11785(a,1,1,1))]. 11822 (T(x \ (x / y),(x \ (x / y)) \ 1) * T(x,y \ 1)) \ z = (x / y) \ (K(x \ (x / y),(x / y) \ x) \ z). [para(2072(a,1),5660(a,2,2,1))]. 11823 (T(x \ (x / y),(x \ (x / y)) \ 1) * T(x,y \ 1)) \ z = (x / y) \ (K(x \ (x / y),y) \ z). [para(61(a,1),11822(a,2,2,1,2))]. 11824 (T(x \ (x / y),(x \ (x / y)) \ 1) * T(x,y \ 1)) \ z = (x / y) \ (((y \ 1) * y) \ z). [para(2442(a,1),11823(a,2,2,1))]. 11825 (x / y) \ (((y \ 1) * y) \ z) = ((((x \ (x / y)) \ 1) \ 1) * T(x,y \ 1)) \ z. [para(110(a,1),11824(a,1,1,1)),flip(a)]. 11827 (x / y) \ (((y \ 1) * y) \ z) = ((x \ (x / ((y \ 1) \ 1))) * T(x,y \ 1)) \ z. [para(2379(a,1),11825(a,2,1,1))]. 11828 (x / y) \ (((y \ 1) * y) \ z) = (x / ((y \ 1) \ 1)) \ z. [para(5147(a,1),11827(a,2,1))]. 11829 R(x,(((y / z) \ 1) \ 1) \ (((z \ 1) * z) \ u),w) = R(x,(y / ((z \ 1) \ 1)) \ u,w). [para(11828(a,1),10360(a,2,2))]. 11830 R(x,(((y / z) \ 1) \ ((z \ 1) * z)) \ u,w) = R(x,(y / ((z \ 1) \ 1)) \ u,w). [para(5649(a,1),11829(a,1,2))]. 11831 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(1236(a,1),9978(a,1,1))]. 11832 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [para(11831(a,2),7269(a,1))]. 11833 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [para(11832(a,1),14(a,1,2))]. 11835 (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(11833(a,1),11717(a,1,1))]. 11836 (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(10655(a,1),11835(a,1,2))]. 11837 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(923,a,11836,a)]. 11838 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [para(11837(a,2),4906(a,1))]. 11839 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). [para(11838(a,1),8217(a,2))]. 11840 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(2826,a,11839,a),flip(a)]. 11842 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [para(11840(a,1),7493(a,1))]. 11843 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [para(11842(a,1),7478(a,1))]. 11845 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(11843(a,1),10142(a,1,1))]. 11846 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [para(11845(a,1),4879(a,1)),flip(a)]. 11847 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10072(a,1),11845(a,1,2,2))]. 11848 a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). [para(11846(a,1),9746(a,1)),flip(a)]. 11849 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(9751(a,1),11847(a,1,2))]. 11850 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [para(11849(a,1),4907(a,1))]. 11851 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [para(11850(a,1),11848(a,2))]. 11852 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(11851(a,1),9844(a,1,1)),flip(a)]. 11855 K(x,L(y,((x \ z) * x) \ x,(x \ ((z \ x) \ x)) * x)) = K(x,L(y,((x \ z) * x) \ x,(x \ z) * x)). [para(59(a,1),10524(a,1,2,3)),flip(a)]. 11857 K(x,L(y,((x \ z) * x) \ x,(x \ ((z \ x) \ x)) * x)) = K(x,L(y,z \ x,(x \ z) * x)). [para(11855(a,2),10337(a,1))]. 11858 K(x,L(y,((x \ z) * x) \ x,(x \ ((z \ x) \ x)) * x)) = K(x,L(y,z \ x,z)). [para(11857(a,2),9392(a,1))]. 11859 K(x,L(y,z \ x,(x \ ((z \ x) \ x)) * x)) = K(x,L(y,z \ x,z)). [para(11858(a,1),10337(a,1)),flip(a)]. 11860 K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). [para(11859(a,1),11552(a,1)),flip(a)]. 11861 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [para(11860(a,1),11462(a,1))]. 11862 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [para(11861(a,1),11286(a,1))]. 11863 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [para(11862(a,1),5322(a,1)),flip(a)]. 11864 (1 / (x \ y)) * (x \ T(y,z)) = K(y,z). [para(11862(a,1),5734(a,1)),flip(a)]. 11866 1 / ((T(x,y) / z) \ x) = K(x,y) / z. [hyper(256,a,11864,a),flip(a)]. 11867 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [hyper(71,a,11864,a)]. 11868 (1 / x) * (y \ T(y * x,z)) = K(y * x,z). [para(13(a,1),11864(a,1,1,2))]. 11871 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(11863(a,1),6331(a,2,1))]. 11872 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [para(11871(a,2),4559(a,1))]. 11874 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(10026(a,1),11872(a,2,2))]. 11875 K(x,((y \ 1) * (z \ 1)) \ 1) = 1 / K(z * y,x). [para(11868(a,1),5735(a,1,2)),flip(a)]. 11876 K(x,((y \ 1) * (z \ 1)) \ 1) = K(x,z * y). [para(11875(a,2),4801(a,1))]. 11877 (1 / x) \ K(y,z * x) = x * K(y,(z \ 1) \ x). [para(11876(a,1),6137(a,1,2))]. 11878 x * K(y,((z / x) \ 1) \ x) = (1 / x) \ K(y,z). [para(16(a,1),11877(a,1,2,2)),flip(a)]. 11879 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(6129(a,1),11874(a,1,1))]. 11880 T(1 / x,(1 / x) \ 1) \ (L(1 / (1 / x),y,z) \ u) = (1 * K(x \ 1,x)) \ ((x \ 1) \ (L(x,y,z) \ u)). [para(6937(a,1),11457(a,2,1))]. 11881 T(1 / x,(1 / x) \ 1) \ (L(1 / (1 / x),y,z) \ u) = K(x \ 1,x) \ ((x \ 1) \ (L(x,y,z) \ u)). [para(11(a,1),11880(a,2,1))]. 11882 T(1 / x,(1 / x) \ 1) \ (L(1 / (1 / x),y,z) \ u) = T(x \ 1,x) \ (L(x,y,z) \ u). [para(11881(a,2),4903(a,1))]. 11883 T(x \ 1,x) \ (L(x,y,z) \ u) = (x \ 1) \ (L(1 / (1 / x),y,z) \ u). [para(221(a,1),11882(a,1,1)),flip(a)]. 11884 L(T(x \ 1,x) \ (L(x,y,z) \ u),x \ 1,x) = 1 \ (x * (L(1 / (1 / x),y,z) \ u)). [para(11883(a,2),343(a,1,1))]. 11885 ((x \ 1) * x) \ (x * (L(x,y,z) \ u)) = 1 \ (x * (L(1 / (1 / x),y,z) \ u)). [para(11884(a,1),10910(a,1)),flip(a)]. 11886 ((x \ 1) * x) \ (L(x,y,z) \ (x * u)) = 1 \ (x * (L(1 / (1 / x),y,z) \ u)). [para(1062(a,2),11885(a,1,2))]. 11887 L(x,y,z) \ (T(x,x \ 1) * u) = 1 \ (x * (L(1 / (1 / x),y,z) \ u)). [para(11886(a,1),5650(a,1)),flip(a)]. 11888 L(x,y,z) \ (T(x,x \ 1) * u) = x * (L(1 / (1 / x),y,z) \ u). [hyper(197,a,11887,a(flip)),flip(a)]. 11889 L(x,y,z) \ (((x \ 1) \ 1) * u) = x * (L(1 / (1 / x),y,z) \ u). [para(110(a,1),11888(a,1,2,1))]. 11890 R(x,T(y,z),T(K(y,u),w)) * (K(y,z) * T(T(y,u),K(u,w))) = (x * T(y,z)) * T(T(K(y,u),w),T(y,z)). [para(2907(a,1),8352(a,1,1,3))]. 11892 (x * T(y,z)) * T(T(K(y,u),w),T(y,z)) = x * (K(y,z) * T(T(y,u),K(u,w))). [para(7521(a,1),11890(a,1,1)),flip(a)]. 11893 (x * T(y,z)) * T(T(K(y,u),w),T(y,z)) = x * (T(K(y,u),w) * T(y,z)). [para(7842(a,1),11892(a,2,2))]. 11894 (x * T(y,z)) * T(K(y,u),w) = x * (T(K(y,u),w) * T(y,z)). [para(2907(a,1),11893(a,1,2))]. 11896 (x \ y) * (T(K(x,z),y) * T(x,u)) = K(x,z) * ((x \ y) * T(x,u)). [para(11894(a,1),7235(a,1))]. 11897 K(x,y) * ((x \ z) * T(x,z)) = (x \ z) * T(T(x,z),y). [para(6571(a,1),11896(a,1,2)),flip(a)]. 11898 K((T(x,y) / z) / (x / z),u) * ((((T(x,y) / z) / (x / z)) \ (T(x,y) / z)) * K((z \ 1) \ (x / z),y)) = (((T(x,y) / z) / (x / z)) \ (T(x,y) / z)) * T(T((T(x,y) / z) / (x / z),T(x,y) / z),u). [para(6702(a,1),11897(a,1,2,2))]. 11899 T(T(x,y) / (T(y,x) \ x),y * (x / T(y,x))) = L((y \ x) \ x,T(y,x) \ x,(y \ x) \ x). [para(7195(a,1),9700(a,1,1,1))]. 11900 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,x * (y / T(x,y))). [para(3890(a,1),11899(a,1,1)),flip(a)]. 11901 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,y). [para(11900(a,2),7111(a,1))]. 11903 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [para(10244(a,2),369(a,1))]. 11904 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(11903(a,1),1533(a,1)),flip(a)]. 11905 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(4922(a,1),11904(a,1,1,2,1))]. 11906 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5315(a,1),11905(a,1,1,2,1))]. 11907 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(7506(a,1),11906(a,1,1,2,1)),flip(a)]. 11908 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [para(11907(a,1),4820(a,1))]. 11910 (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). [para(11908(a,1),1002(a,2,1,2)),flip(a)]. 11911 (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). [para(4906(a,1),11910(a,1,1))]. 11912 (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). [para(10678(a,1),11911(a,1,1))]. 11913 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [para(11912(a,1),59(a,1))]. 11915 R(K(x,y),R(x,z,u),w) = K(x,y). [para(108(a,1),11913(a,1,2,1))]. 11916 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [para(11913(a,1),6356(a,1)),flip(a)]. 11917 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [para(11915(a,1),6359(a,1)),flip(a)]. 11918 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [para(11916(a,2),6642(a,1))]. 11919 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [para(11918(a,1),9836(a,1))]. 11921 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [para(11919(a,2),10632(a,1))]. 11922 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [para(11921(a,1),6642(a,2))]. 11924 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(T(x,x \ y),y,x),u,w)). [para(10295(a,1),6474(a,1))]. 11926 (K(x,x * y) * K(x,T(x * y,z))) \ (T(K(x,x * y),z) * T(x,y)) = L(R(x,y,x),K(x,x * y),T(K(x,x * y),z)). [para(6535(a,2),5025(a,1,1,2))]. 11927 (T(x,y) / z) / T(x / z,K(((z \ 1) / (x / z)) \ 1,y)) = (x / z) \ (K(y,((z \ 1) / (x / z)) \ 1) \ (x / z)). [para(4796(a,1),5614(a,1,2,2))]. 11928 (x / y) \ (K(z,((y \ 1) / (x / y)) \ 1) \ (x / y)) = (T(x,z) / y) / T(x / y,K(z,(y \ 1) / (x / y))). [para(7765(a,1),11927(a,1,2)),flip(a)]. 11929 ((x / y) \ (T(x,z) / y)) * (T(K(((y \ 1) / (x / y)) \ 1,z),x / y) \ u) = u. [para(5612(a,1),5623(a,1,2,1,2))]. 11931 ((x / y) \ (T(x,z) / y)) * (K(((y \ 1) / (x / y)) \ 1,T(z,x / y)) \ u) = u. [para(6535(a,2),11929(a,1,2,1))]. 11932 ((x / y) \ (T(x,z) / y)) * (K(((x / y) \ (y \ 1)) \ 1,z) \ u) = u. [para(6729(a,1),11931(a,1,2,1))]. 11933 K(((x / y) \ (y \ 1)) \ 1,z) = (x / y) \ (T(x,z) / y). [hyper(76,a,11932,a),flip(a)]. 11934 K(((x / y) \ (y \ 1)) \ 1,T(z,x)) = (x / y) \ (T(x,z) / y). [para(3842(a,1),11933(a,2,2,1))]. 11935 K((x \ 1) \ (y / x),T(z,y)) = (y / x) \ (T(y,z) / x). [para(11934(a,1),5861(a,1)),flip(a)]. 11936 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(8374(a,1),8379(a,1,1,2,1,1)),flip(a)]. 11937 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(13(a,1),11936(a,2,1,2,1))]. 11939 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(8374(a,1),11937(a,1,1)),flip(a)]. 11940 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(1723(a,1),11939(a,2,2))]. 11941 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [para(11940(a,1),9306(a,2))]. 11942 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [para(11941(a,1),15(a,1))]. 11943 x * (K(y,z) * R(K(z,y),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(4919(a,1),11941(a,1,2)),flip(a)]. 11944 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [para(4919(a,1),11943(a,1,2)),flip(a)]. 11945 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(3709,a,11944,a)]. 11946 K(x,a(K(y,z),u,u \ 1)) = 1. [para(11945(a,1),10288(a,1,2))]. 11947 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(37,a,11946,a)]. 11948 T(x,a(K(y,z),u \ 1,u)) = x. [para(3404(a,1),11947(a,1,2))]. 11949 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(35,a,11948,a)]. 11950 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [para(11949(a,2),3395(a,2)),flip(a)]. 11951 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(4924(a,2),11950(a,1,1))]. 11952 K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). [para(11951(a,1),9678(a,2))]. 11953 K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). [para(11952(a,1),6552(a,2))]. 11954 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(10370,a,11953,a)]. 11955 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2344(a,1),11954(a,1,2,2))]. 11956 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [para(11955(a,2),7395(a,1))]. 11957 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(11955(a,1),7376(a,1,2)),flip(a)]. 11958 K(x,K(y,R(z,u,u \ K(w,x)))) = K(x,K(y,z)). [para(11955(a,1),11017(a,2))]. 11959 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(420(a,1),11956(a,1,2,2))]. 11960 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(5073(a,1),11959(a,1,2)),flip(a)]. 11961 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(5076(a,2),11959(a,1,2))]. 11962 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(6572(a,1),11960(a,1,2)),flip(a)]. 11963 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [para(11960(a,1),7395(a,1)),flip(a)]. 11964 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [para(11960(a,1),7735(a,1)),flip(a)]. 11965 K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). [para(7094(a,1),11961(a,1,2)),flip(a)]. 11966 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(16(a,1),11964(a,2,2,2))]. 11967 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [para(5085(a,2),11964(a,1,2))]. 11968 (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). [para(11965(a,1),7391(a,1,2))]. 11969 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [para(11966(a,1),7374(a,1)),flip(a)]. 11970 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(11967(a,1),11266(a,1,3))]. 11971 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [para(11969(a,1),7745(a,1)),flip(a)]. 11972 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(11971(a,1),9106(a,1,1))]. 11973 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(11971(a,1),9655(a,1,1))]. 11975 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(7395(a,1),11973(a,1,1))]. 11977 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [para(11975(a,1),8555(a,1)),flip(a)]. 11978 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(59(a,1),11977(a,1,2,2,2))]. 11979 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(7414,a,11972,a)]. 11980 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(59(a,1),11972(a,1,2)),flip(a)]. 11982 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(7346(a,1),11979(a,1,1))]. 11983 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(7378(a,1),11980(a,2,1))]. 11984 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(9108,a,11982,a)]. 11985 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [para(11983(a,1),61(a,1,1))]. 11986 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(11105(a,1),11984(a,1,1,1,1))]. 11987 L(x \ y,x,K(y,K(z,u))) = x \ y. [para(11985(a,1),4689(a,2))]. 11988 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(34,a,11987,a)]. 11989 a(K(x * y,K(z,u)),x,y) = 1. [para(13(a,1),11988(a,1,3))]. 11990 a(K(K(x,y),z),u,u \ z) = 1. [para(5370(a,2),11988(a,1,1))]. 11991 a(K(x,K(y,z * u)),z,u) = 1. [para(7346(a,1),11989(a,1,1))]. 11992 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [para(11990(a,2),7412(a,2)),flip(a)]. 11993 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [para(11957(a,2),7349(a,1))]. 11994 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [para(11993(a,1),8874(a,1)),flip(a)]. 11996 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(6573(a,1),11962(a,1,2))]. 11997 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(7478(a,1),11994(a,1,2)),flip(a)]. 11999 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(7494(a,1),11997(a,1,2)),flip(a)]. 12000 T(x,K(y,z / (u \ 1))) = T(x,K(y,z * u)). [para(5073(a,1),11999(a,1,2)),flip(a)]. 12001 T(x,K(y,(z * (u \ 1)) * u)) = T(x,K(y,z)). [para(15(a,1),12000(a,1,2,2)),flip(a)]. 12002 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [para(12000(a,1),7639(a,1))]. 12003 T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(12002(a,1),4703(a,1,1))]. 12004 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(11978(a,1),11992(a,2,2))]. 12005 T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. [para(11968(a,1),7364(a,1))]. 12006 T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. [para(6535(a,2),12005(a,2,1))]. 12007 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(7857(a,1),12006(a,2,1))]. 12008 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(12007(a,2),6823(a,1,1))]. 12009 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7378(a,2),12004(a,2,2))]. 12010 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(5370(a,1),12009(a,1,1))]. 12011 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [para(12010(a,2),11586(a,1)),flip(a)]. 12012 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [para(12011(a,2),264(a,1))]. 12013 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [para(1720(a,1),12012(a,1,2))]. 12014 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(13(a,1),12013(a,1,2,2,2,3))]. 12015 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5325(a,2),11986(a,1,1))]. 12016 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [para(12015(a,1),7396(a,1)),flip(a)]. 12017 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [para(12016(a,1),11963(a,1)),flip(a)]. 12018 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(16(a,1),12017(a,1,2,2)),flip(a)]. 12019 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(z * y,z \ L(z,u,w))). [para(12018(a,1),7346(a,1)),flip(a)]. 12020 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(2746(a,1),8761(a,2,1,2))]. 12021 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(469(a,1),12020(a,1,1,2,2))]. 12022 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(2981(a,1),12021(a,1,1,2))]. 12023 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [para(12022(a,1),5175(a,1))]. 12024 K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(4288(a,1),11060(a,1,1))]. 12026 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(10537(a,1),12024(a,1,2,1,2))]. 12027 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [para(12026(a,1),2545(a,1)),flip(a)]. 12028 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(71,a,12027,a)]. 12029 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [para(12027(a,2),5754(a,2))]. 12030 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [para(12028(a,1),2617(a,2))]. 12031 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2010,a,12029,a)]. 12032 (x \ L(x,y,z)) * (L(x,y,z) \ x) = 1. [para(12031(a,1),14(a,1,2))]. 12033 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [para(12031(a,2),8578(a,1))]. 12034 x / (((y \ L(y,z,L(y,u,w))) \ 1) \ 1) = ((L(y,z,L(y,u,w)) \ y) \ 1) \ x. [para(12031(a,1),11601(a,2,1,1))]. 12035 (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(12033(a,1),8449(a,1,1,2))]. 12036 (L(x \ 1,y,z) \ (x \ 1)) \ ((L(x \ 1,y,z) \ 1) * K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(12030(a,1),3451(a,2,1)),flip(a)]. 12037 x / (((y \ L(y,z,L(y,u,w))) \ 1) \ 1) = (a(y,z,L(y,u,w)) \ 1) \ x. [para(9740(a,1),12034(a,2,1,1))]. 12038 x / ((L(y,z,L(y,u,w)) \ y) \ 1) = (a(y,z,L(y,u,w)) \ 1) \ x. [para(12031(a,1),12037(a,1,2,1))]. 12039 x / (a(y,z,L(y,u,w)) \ 1) = (a(y,z,L(y,u,w)) \ 1) \ x. [para(9740(a,1),12038(a,1,2,1))]. 12040 (a(x,y,L(x,z,u)) \ 1) \ w = w * a(x,y,L(x,z,u)). [para(12039(a,1),9744(a,1))]. 12042 (L(x \ 1,y,z) \ (x \ 1)) \ (L(x \ 1,y,z) \ K(x \ 1,x)) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4238(a,1),12036(a,1,2))]. 12043 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4488(a,1),12042(a,1,2))]. 12044 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8448(a,1),12035(a,1,2,1))]. 12045 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(3464(a,1),12044(a,1,2,2))]. 12046 R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(2473(a,1),12045(a,1,2)),flip(a)]. 12048 R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(8448(a,1),12046(a,1,2,1))]. 12050 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(12033(a,1),12048(a,1,2)),flip(a)]. 12051 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(8448(a,1),12050(a,2,3))]. 12052 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [para(12051(a,2),9536(a,1))]. 12053 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(10201(a,2),12052(a,1,1,2))]. 12054 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(8440,a,12053,a)]. 12055 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [para(6573(a,1),12054(a,1,2))]. 12056 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(12055(a,1),5774(a,1,1)),flip(a)]. 12057 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [para(12056(a,2),4495(a,1))]. 12058 (K(x * y,x) \ K(x,T(x * y,z))) \ (T(K(x,x * y),z) * T(x,y)) = L(R(x,y,x),K(x,x * y),T(K(x,x * y),z)). [para(4906(a,2),11926(a,1,1))]. 12059 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7351(a,1),12003(a,1,2,1,2))]. 12060 (K(x * y,x) \ K(x,T(x * y,z))) \ (K(x,T(x * y,z)) * T(x,y)) = L(R(x,y,x),K(x,x * y),T(K(x,x * y),z)). [para(6535(a,2),12058(a,1,2,1))]. 12061 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7716(a,1),12059(a,1,2,1,2))]. 12062 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7382(a,1),12061(a,1,2,1,2))]. 12063 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7524(a,1),12062(a,1,2,1,2))]. 12064 T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(4666(a,1),12063(a,1,2,1))]. 12065 K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(12064(a,1),4897(a,2))]. 12066 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). [para(7728(a,1),12065(a,1,1)),flip(a)]. 12067 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(1126(a,1),12066(a,2,2))]. 12068 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [para(12067(a,2),7422(a,1))]. 12069 (K(x * y,x) \ K(x,T(x * y,z))) \ (K(x * y,T(x,z)) \ T(x,y)) = L(R(x,y,x),K(x,x * y),T(K(x,x * y),z)). [para(6597(a,2),12060(a,1,2))]. 12070 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). [para(13(a,1),6172(a,1,1,1)),flip(a)]. 12072 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). [para(12070(a,2),6556(a,1))]. 12073 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [para(12072(a,2),8687(a,1))]. 12074 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [para(12073(a,1),6573(a,1)),flip(a)]. 12075 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [para(12074(a,1),8710(a,1)),flip(a)]. 12076 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [para(12075(a,1),8684(a,1)),flip(a)]. 12077 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [para(12076(a,1),7537(a,1))]. 12079 K(x,(y * z) / (R(x,y,z) \ u)) = K(x,((x * y) * z) / u). [para(104(a,1),12077(a,1,2,1)),flip(a)]. 12080 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [para(12077(a,1),11917(a,1)),flip(a)]. 12081 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [para(12080(a,1),6013(a,1))]. 12082 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [para(12081(a,1),8548(a,2))]. 12083 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [para(12082(a,1),11115(a,2))]. 12084 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(30(a,2),12083(a,2,2,1))]. 12085 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [para(12084(a,1),8792(a,1))]. 12087 K(x,y) * (((z * x) / z) * L(u,T(K(x,y),(z * x) / z),(z * x) / z)) = ((z * x) / z) * (K(x,y) * u). [para(2910(a,1),6638(a,2,2,1))]. 12088 K(x,y) * (((z * x) / z) * L(u,K(x,y),(z * x) / z)) = ((z * x) / z) * (K(x,y) * u). [para(2910(a,1),12087(a,1,2,2,2))]. 12091 K(x,y) * (((z * x) / z) * u) = ((z * x) / z) * (K(x,y) * u). [para(6652(a,1),12088(a,1,2,2))]. 12092 ((x * y) / x) * (K(y,z) * u) = T(y,z) * (K(x,y) * u). [para(12091(a,1),5216(a,1))]. 12093 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(4906(a,1),9393(a,1,1,1))]. 12094 L(T((x / y) \ 1,x) \ 1,(x / y) \ 1,T(y * (x / y),(x / y) \ 1)) = (((y \ x) \ 1) * x) \ (y * (x / y)). [para(5550(a,1),10913(a,1,1,1))]. 12095 L(T((x / y) \ 1,x) \ 1,(x / y) \ 1,y * (T(x,(x / y) \ 1) / y)) = (((y \ x) \ 1) * x) \ (y * (x / y)). [para(4343(a,1),12094(a,1,3))]. 12096 L(T((x / y) \ 1,x) \ 1,(x / y) \ 1,y * (T(x,x \ y) / y)) = (((y \ x) \ 1) * x) \ (y * (x / y)). [para(3790(a,1),12095(a,1,3,2,1))]. 12097 L(T((x / y) \ 1,x) \ 1,(x / y) \ 1,(x \ y) \ T(y,y \ x)) = (((y \ x) \ 1) * x) \ (y * (x / y)). [para(5951(a,2),12096(a,1,3))]. 12098 K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(10805(a,1),12093(a,1,1))]. 12099 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(12098(a,1),5976(a,1)),flip(a)]. 12101 K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(12099(a,1),11626(a,1)),flip(a)]. 12102 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). [para(12101(a,1),11596(a,1))]. 12103 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). [para(12102(a,2),11606(a,1))]. 12104 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [para(12103(a,2),12014(a,1))]. 12105 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [para(12104(a,1),5976(a,1)),flip(a)]. 12107 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(12105(a,1),4713(a,1,1))]. 12108 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(10808(a,1),12107(a,1,2))]. 12109 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(67,a,12108,a)]. 12110 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(7396(a,1),12108(a,1,2,1))]. 12111 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(4928,a,12109,a)]. 12112 R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). [para(12109(a,1),1723(a,2))]. 12113 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6337(a,1),12109(a,1,2))]. 12114 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(8786(a,1),12109(a,1,2))]. 12115 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(12109(a,1),9693(a,1,1)),flip(a)]. 12116 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(12109(a,1),11609(a,2,2))]. 12118 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(12109(a,1),11942(a,1,1,2))]. 12119 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(12111(a,1),10054(a,1,1)),flip(a)]. 12120 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [para(12112(a,1),9427(a,2,2))]. 12121 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(4928,a,12115,a)]. 12122 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(12109(a,1),12118(a,1,2))]. 12124 (x * a(K(y,z),u,w)) \ x = a(K(z,y),u,w). [hyper(71,a,12122,a)]. 12125 x * a(K(y,z),u,w) != v5 | v5 * a(K(z,y),u,w) = x. [para(12122(a,1),20(a,1)),flip(a)]. 12127 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [para(217(a,2),12124(a,1,1))]. 12128 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [para(12121(a,1),9480(a,1)),flip(a)]. 12129 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(8555(a,1),12110(a,1,2,2))]. 12130 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(11615(a,1),12129(a,1,2))]. 12131 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(8647(a,1),12128(a,1,2))]. 12132 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [para(12131(a,1),4627(a,1)),flip(a)]. 12133 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [para(12132(a,2),9404(a,2)),flip(a)]. 12134 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [para(12119(a,2),12120(a,1))]. 12135 x * T(((x * L(y,z,u)) / L(y,z,u)) \ (x * y),w) = ((x * L(y,z,u)) * T(y,w)) / L(y,z,u). [para(15(a,1),1471(a,1,1))]. 12136 ((x * L(y,z,u)) * T(y,w)) / L(y,z,u) = x * T(x \ (x * y),w). [para(15(a,1),12135(a,1,2,1,1)),flip(a)]. 12137 ((x * L(y,z,u)) * T(y,w)) / L(y,z,u) = x * T(y,w). [para(13(a,1),12136(a,2,2,1))]. 12138 (x * T(y,z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z). [para(12137(a,1),16(a,1,1))]. 12139 ((x / y) * L(y,z,u)) * T(y,w) = (x * K(y,w)) * L(y,z,u). [para(5778(a,1),12138(a,1,1)),flip(a)]. 12140 (x * L(y,z,u)) * K(y,w) = (x * K(y,w)) * L(y,z,u). [para(12139(a,1),5810(a,1)),flip(a)]. 12141 (x * K(y,z)) / L(y,u,w) = (x / L(y,u,w)) * K(y,z). [hyper(468,a,12140,a)]. 12142 (x / L(y,z,u)) * K(y,y \ x) = (y * (x / y)) / L(y,z,u). [para(4792(a,1),12141(a,1,1)),flip(a)]. 12143 T((x * (y / x)) / L(x,z,u),L(x,z,u)) = (L(x,z,u) \ y) * K(x,x \ y). [para(12142(a,1),11776(a,1,1))]. 12144 (L(x,y,z) \ u) * K(x,x \ u) = L(x,y,z) \ (x * (u / x)). [para(12143(a,1),111(a,1))]. 12145 (L(x,y,z) \ u) * K(x,x \ u) = x * (L(x,y,z) \ (u / x)). [para(12144(a,2),1062(a,1))]. 12146 ((x \ 1) \ 1) * (L(x,y,z) \ 1) = x * (x * (L(x,y,z) \ (1 / x))). [para(12145(a,1),2648(a,1,2)),flip(a)]. 12147 (((L(x,y,z) \ x) \ (L(x,y,z) \ 1)) \ 1) * (L(x,u,w) \ 1) = x * (x * (L(x,u,w) \ (1 / x))). [para(10869(a,2),12146(a,1,1,1))]. 12148 (((L(x,y,z) \ x) \ (L(x,y,z) \ 1)) \ 1) * (L(x,u,w) \ 1) != x * v5 | x * (L(x,u,w) \ (1 / x)) = v5. [para(12147(a,2),19(a,1))]. 12149 ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). [para(5136(a,1),5503(a,1))]. 12151 K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). [para(12149(a,1),5683(a,1)),flip(a)]. 12152 K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1) = K(x * (y / (z * y)),z \ 1). [para(12151(a,1),9862(a,1)),flip(a)]. 12153 K((x \ 1) \ (y / (z * y)),z \ 1) = K(x * (y / (z * y)),z \ 1). [para(15(a,1),12152(a,1,2,1))]. 12154 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). [para(12153(a,1),7333(a,1)),flip(a)]. 12155 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [para(12154(a,2),7231(a,1))]. 12156 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [para(12155(a,1),11207(a,1)),flip(a)]. 12157 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [para(12156(a,1),5192(a,1))]. 12159 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [para(12157(a,2),7201(a,1))]. 12160 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [para(12159(a,1),12023(a,2))]. 12161 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(12160(a,1),9696(a,1,1,1))]. 12163 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [para(12161(a,1),7234(a,1))]. 12165 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(16(a,1),12163(a,1,3,2)),flip(a)]. 12166 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(12165(a,1),9507(a,2,2))]. 12167 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [para(12166(a,2),890(a,1))]. 12168 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [para(12167(a,2),1515(a,1))]. 12169 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(9084(a,1),12168(a,2,1,2))]. 12170 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [para(12169(a,2),11497(a,1))]. 12171 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(11736(a,1),12170(a,1,1))]. 12172 (T(K(x,y) * K(z,x),u) \ 1) \ u = (1 * (K(x,y) * K(z,x))) * (((K(x,z) * K(y,x)) \ u) / (1 * (K(x,y) * K(z,x)))). [para(11(a,1),9967(a,1,1,1,1))]. 12173 (T(K(x,y) * K(z,x),u) \ 1) \ u = T(K(x,y) * K(z,x),u) * u. [para(12172(a,2),11733(a,2)),flip(a)]. 12174 (T(K(x,y) * K(z,x),u) \ 1) \ u = u * (K(z,x) * K(x,y)). [para(12173(a,2),11605(a,1))]. 12175 T(K(x,y) * K(y,z),u) \ u = u * (K(z,y) * K(y,x)). [para(11623(a,1),12174(a,1,1))]. 12176 x / (x * (K(y,z) * K(z,u))) = T(K(u,z) * K(z,y),x). [para(12175(a,1),59(a,1,2))]. 12177 (K(x,y) * (K(z,x) * u)) \ u = T(K(y,x) * K(x,z),u). [para(12176(a,1),11619(a,1)),flip(a)]. 12178 T(K(x,y) * K(y,z),u) \ 1 = T(K(y,x) * K(z,y),u). [para(12177(a,1),10034(a,1,1))]. 12179 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(4848(a,1),5032(a,1,1))]. 12180 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(4848(a,1),12179(a,1,2,1,1)),flip(a)]. 12181 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(4796(a,1),12180(a,2,2,1))]. 12182 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(6337(a,1),12181(a,2,2))]. 12183 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(4570(a,1),12182(a,1,1,1)),flip(a)]. 12184 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(6337(a,1),12183(a,2,1,2))]. 12185 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [para(12184(a,1),12113(a,1))]. 12186 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(16(a,1),2714(a,1,2,1))]. 12187 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(57(a,1),12186(a,1,2))]. 12189 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [para(12187(a,1),61(a,1))]. 12190 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(3200(a,1),12189(a,1,1))]. 12191 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [para(12190(a,1),10868(a,1))]. 12192 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [para(12191(a,2),4489(a,1))]. 12193 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [para(12192(a,2),10596(a,1))]. 12194 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(12192(a,2),10869(a,1,1))]. 12195 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(899(a,1),12193(a,1,2))]. 12196 (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. [para(12195(a,1),16(a,1,1))]. 12197 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(12195(a,1),4610(a,2,1)),flip(a)]. 12198 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(12196(a,1),6432(a,1,2,2,1)),flip(a)]. 12199 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [para(12197(a,2),7395(a,1))]. 12200 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(12194(a,1),11879(a,1,2))]. 12201 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [para(12200(a,1),5619(a,1)),flip(a)]. 12202 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [para(12201(a,2),10021(a,1))]. 12203 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(12202(a,1),61(a,1,1))]. 12204 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(12203(a,1),4406(a,1,2,1))]. 12205 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(12204(a,2),10021(a,1))]. 12206 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * ((K(z,x) * y) / z). [para(4568(a,1),4425(a,2,2,1))]. 12207 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = ((x * z) / x) * (K(z,x) * (y / z)). [para(6681(a,1),12206(a,2,2))]. 12208 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = T(z,x) * (K(x,z) * (y / z)). [para(12207(a,2),12092(a,1))]. 12209 (((x \ (y * x)) / z) \ ((x * (((x \ (y * x)) / z) * z)) / x)) * ((x \ (y * x)) / z) = z * (y / z). [para(12208(a,2),4878(a,1))]. 12210 ((T(x,y) / z) \ ((y * (((y \ (x * y)) / z) * z)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(32(a,2),12209(a,1,1,1,1))]. 12212 ((T(x,y) / z) \ ((y * ((T(x,y) / z) * z)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(32(a,2),12210(a,1,1,2,1,2,1,1))]. 12213 ((T(x,y) / z) \ ((y * T(x,y)) / y)) * ((y \ (x * y)) / z) = z * (x / z). [para(16(a,1),12212(a,1,1,2,1,2))]. 12215 ((T(x,y) / z) \ x) * ((y \ (x * y)) / z) = z * (x / z). [para(145(a,1),12213(a,1,1,2))]. 12216 ((T(x,y) / z) \ x) * (T(x,y) / z) = z * (x / z). [para(32(a,2),12215(a,1,2,1))]. 12217 K((T(x,y) / z) \ T(x,u),T(x,y) / z) = T(x,u) \ T(z * (x / z),u). [para(12216(a,1),4386(a,1,2,1)),flip(a)]. 12218 K((T(x,y) / z) \ T(x,u),T(x,y) / z) = K(z,z \ T(x,u)). [para(12217(a,2),4953(a,1))]. 12219 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K(z,z \ x). [para(12218(a,2),7103(a,1))]. 12220 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x * K(y,z * x))). [para(6535(a,2),8298(a,2,2))]. 12221 (a(x,y,L(x,z,u)) * K(x,w)) \ (x * K(L(x,y,L(x,z,u)),w)) = T(L(x,y,L(x,z,u)),L(x,y,L(x,z,u)) \ x). [para(8205(a,1),9741(a,1,1,2))]. 12223 T(L(x,y,L(x,z,u)),L(x,y,L(x,z,u)) \ x) = (a(x,y,L(x,z,u)) * K(x,w)) \ T(x,w). [para(8206(a,1),12221(a,1,2)),flip(a)]. 12225 (a(x,y,L(x,z,u)) * K(x,w)) \ T(x,w) = L(x,y,L(x,z,u)). [para(12223(a,1),10533(a,1))]. 12226 L(x,y,L(x,z,u)) = (a(x,y,x) * K(x,w)) \ T(x,w). [para(11174(a,1),12225(a,1,1,1)),flip(a)]. 12228 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x)). [para(6976(a,1),12220(a,2,2))]. 12229 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(z,T(y,x)). [para(12228(a,2),6805(a,1))]. 12231 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (x * K(z,T(y,x))). [para(12229(a,2),6953(a,1))]. 12232 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (K(z,y) * x). [para(6537(a,1),12231(a,2,2))]. 12233 (x * K(y,z * x)) / K(y,z) = K(y,z * x) * (K(z,y) * x). [para(7461(a,1),12232(a,1,2))]. 12234 (x * K(y,z * x)) * K(z,y) = K(y,z * x) * (K(z,y) * x). [para(12233(a,1),6792(a,1)),flip(a)]. 12236 K(x,y * z) * (K(y,x) * z) = z * (K(x,y * z) * K(y,x)). [para(12234(a,1),9215(a,1))]. 12237 x * ((y * a(y,x,T(y,z))) * L((y * a(y,x,T(y,z))) \ (x \ u),w,v5)) = T(y * x,y) * L(T(y * x,y) \ u,w,v5). [para(9009(a,1),9010(a,2,2,1,1))]. 12238 x * (R(y,x,y) * L((y * a(y,x,T(y,z))) \ (x \ u),w,v5)) = T(y * x,y) * L(T(y * x,y) \ u,w,v5). [para(9007(a,1),12237(a,1,2,1))]. 12240 x * (R(y,x,y) * L(R(y,x,y) \ (x \ z),u,w)) = T(y * x,y) * L(T(y * x,y) \ z,u,w). [para(9007(a,1),12238(a,1,2,2,1,1))]. 12242 R(x,T(K(y,z),x),T(K(z,K(u,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7374(a,1),9804(a,1,1,3,1))]. 12243 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(5937(a,1),9808(a,1,2,1))]. 12244 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(3637(a,1),12243(a,1,2,2)),flip(a)]. 12245 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(7769(a,1),12244(a,2,2))]. 12246 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(13(a,1),12245(a,2,2,1))]. 12247 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11761(a,1),12246(a,1,1,2))]. 12248 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8147(a,1),12247(a,1,1))]. 12250 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11761(a,1),12248(a,1,2,1))]. 12251 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(5093(a,1),12250(a,1,2))]. 12252 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7887(a,1),12251(a,1,2))]. 12253 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(6228(a,1),12252(a,1,2)),flip(a)]. 12255 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [para(12253(a,2),7025(a,2)),flip(a)]. 12256 R(x,T(K(y,z),x),T(K(z,K(u,w)),x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(6956(a,1),12242(a,1,1,3))]. 12257 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(6563(a,2),12256(a,1,1,3))]. 12259 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(z,K(u,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7374(a,1),12257(a,1,2,1,1))]. 12260 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(9769(a,1),12259(a,1,2))]. 12261 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),K(y,z) * x). [para(7374(a,1),12260(a,2,2,1))]. 12262 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),x). [para(6956(a,1),12261(a,2,2))]. 12263 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(6563(a,2),12262(a,2,2))]. 12265 x \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(8378(a,1),12263(a,1,1))]. 12266 T(K(x,y),z) * K(y,K(u,T(w,z))) = T(K(x,y) * K(y,K(u,w)),z). [para(12265(a,1),9787(a,1))]. 12267 K(x,K(y,T(z,u))) * T(K(w,x),u) = T(K(w,x) * K(x,K(y,z)),u). [para(12266(a,1),1721(a,1)),flip(a)]. 12268 K(x,K(y,T(z,u))) * K(w,T(x,u)) = T(K(w,x) * K(x,K(y,z)),u). [para(6535(a,2),12267(a,1,2))]. 12269 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(8269(a,1),5711(a,1,1)),flip(a)]. 12270 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [para(12269(a,2),7021(a,2)),flip(a)]. 12272 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(4627(a,1),12270(a,2,1))]. 12273 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(8269(a,1),5712(a,1,1)),flip(a)]. 12274 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [para(12273(a,2),7021(a,2)),flip(a)]. 12276 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(4627(a,1),12274(a,2,1))]. 12277 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [para(12276(a,2),9575(a,1))]. 12278 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(3982(a,2),12277(a,1,2))]. 12279 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(8265(a,1),12278(a,1,2,1))]. 12280 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(3978(a,2),12279(a,1,2,1))]. 12282 L((K(x,y) * a(x,z,x)) \ u,K(x,y) * a(x,z,x),T(x,R(T(x,y),z,x))) = ((x * R(T(x,y),z,x)) / x) \ (T(x,R(T(x,y),z,x)) * u). [para(8403(a,1),8433(a,1,2))]. 12283 K(x,K(y \ (y / (z \ 1)),y) \ T(u,((y / (z \ 1)) / y) * T(y,z))) = K(x,(((y / (z \ 1)) / y) * y) \ (u * (y * ((y / (z \ 1)) / y)))). [para(4750(a,1),11328(a,1,2,1))]. 12284 K((x * (K(y,x) / T(x,z))) \ 1,((x \ K(x,y)) * T(x,z)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))). [para(9261(a,1),11516(a,1,1,1))]. 12285 ((x * R(T(x,y),z,x)) / x) \ (T(x,R(T(x,y),z,x)) * u) = L((K(x,y) * a(x,z,x)) \ u,K(x,y) * a(x,z,x),x). [para(580(a,1),12282(a,1,3)),flip(a)]. 12286 ((x * R(T(x,y),z,x)) / x) \ (T(x,R(T(x,y),z,x)) * u) = (K(x,y) * a(x,z,x)) \ u. [para(12285(a,2),10206(a,1))]. 12287 (K(x,y) * a(x,z,x)) \ u = R(T(x,y),z,x) \ (x * u). [para(12286(a,1),4114(a,1))]. 12288 (K(x,y) * a(x,z,x)) \ u = x * (R(T(x,y),z,x) \ u). [para(12287(a,2),2246(a,1))]. 12289 (a(x,y,x) * K(x,z)) \ u = x * (R(T(x,z),y,x) \ u). [para(9479(a,2),12288(a,1,1))]. 12290 L(x,y,L(x,z,u)) = x * (R(T(x,w),y,x) \ T(x,w)). [para(12289(a,1),12226(a,2))]. 12291 L(x,y,L(x,z,u)) = x * (T(x,w) \ L(T(x,w),y,x)). [para(11811(a,1),12290(a,2,2))]. 12292 L(x,y,L(x,z,u)) = x * (x \ L(x,y,x)). [para(6672(a,1),12291(a,2,2))]. 12293 L(x,y,L(x,z,u)) = L(x,y,x). [para(12292(a,2),14(a,1))]. 12294 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). [para(12293(a,1),45(a,1,1)),flip(a)]. 12295 (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). [para(12294(a,1),9800(a,1,1,2))]. 12296 K(x,K((y \ 1) \ 1,z) \ T(u,((z / (y \ 1)) / z) * T(z,y))) = K(x,(((z / (y \ 1)) / z) * z) \ (u * (z * ((z / (y \ 1)) / z)))). [para(4574(a,1),12283(a,1,2,1))]. 12297 K(x,K(y,z) \ T(u,((z / (y \ 1)) / z) * T(z,y))) = K(x,(((z / (y \ 1)) / z) * z) \ (u * (z * ((z / (y \ 1)) / z)))). [para(2889(a,1),12296(a,1,2,1))]. 12299 K(x,(((y / (z \ 1)) / y) * y) \ (u * (y * ((y / (z \ 1)) / y)))) = K(x,K(z,y) \ T(u,y * ((y / (z \ 1)) / y))). [para(5464(a,1),12297(a,1,2,2,2)),flip(a)]. 12300 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(10239(a,1),10240(a,2,2,1,1))]. 12301 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [para(12300(a,2),1537(a,1))]. 12302 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(1908(a,1),12301(a,2,2))]. 12303 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(617(a,1),12302(a,2,2,1))]. 12304 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(879(a,1),12303(a,2,2,1,2))]. 12305 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1537(a,1),12304(a,1,1))]. 12306 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). [para(9091(a,2),8838(a,1))]. 12307 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). [para(12306(a,2),7378(a,1))]. 12308 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = K(x * y,1 / x) * ((1 / x) * (y * x)). [para(4090(a,1),10940(a,1,2)),flip(a)]. 12309 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (1 / x) * (K(x * y,1 / x) * (y * x)). [para(12308(a,2),4980(a,1))]. 12310 T(L(L(x,y,z) \ L(L(x,y,z),L(x,y,z) \ 1,L(x,y,z)),u,w),v5) = L(L(x,v6,v7) \ L(L(x,v6,v7),L(x,v6,v7) \ 1,L(x,v6,v7)),v8,v9). [hyper(2698,a,11470,a(flip))]. 12311 (x * y) / L(L(L(z,u,w) \ L(L(z,u,w),L(z,u,w) \ 1,L(z,u,w)),v5,v6),L(L(z,v7,v8) \ L(L(z,v7,v8),L(z,v7,v8) \ 1,L(z,v7,v8)),v9,v10) \ y,x) = x * (L(L(z,v7,v8) \ L(L(z,v7,v8),L(z,v7,v8) \ 1,L(z,v7,v8)),v9,v10) \ y). [para(12310(a,1),389(a,1,2,1))]. 12312 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2421(a,1),9053(a,1,1,1,2))]. 12313 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [para(10806(a,2),13(a,1))]. 12314 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(10805(a,1),12313(a,1,3))]. 12316 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(12109(a,1),12314(a,1,3))]. 12317 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(12316(a,1),95(a,1,2))]. 12318 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [para(12317(a,1),12134(a,1))]. 12319 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(4907(a,1),12318(a,1,2))]. 12320 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(7477(a,1),12319(a,1,1,1)),flip(a)]. 12321 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(150,a,12320,a),flip(a)]. 12322 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(11214(a,1),11805(a,1,2,2))]. 12323 K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(4256(a,1),12312(a,1,1,1))]. 12324 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). [para(108(a,1),12323(a,1,1,1)),flip(a)]. 12326 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(2421(a,1),12324(a,2,1,3,2))]. 12327 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(13(a,1),12326(a,2,1,3))]. 12329 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4242(a,1),12327(a,2,1))]. 12330 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(59(a,1),12329(a,1,1,1,1,2))]. 12331 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(2421(a,1),12330(a,1,1,2))]. 12332 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [para(12331(a,1),5318(a,1)),flip(a)]. 12333 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(32(a,2),12332(a,1,1,1,1)),flip(a)]. 12335 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(10028(a,1),12333(a,2,1,1))]. 12336 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [para(12335(a,2),6566(a,1))]. 12337 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(32(a,2),12336(a,1,1,3))]. 12338 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(6573(a,1),12337(a,2,1))]. 12339 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [para(12338(a,1),6224(a,1)),flip(a)]. 12340 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(12339(a,1),7207(a,2,2))]. 12341 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * L(K(y * x,T(z,y)),y,x). [para(12339(a,1),8102(a,2,2))]. 12342 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [para(12340(a,2),95(a,1))]. 12343 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [para(6537(a,1),12342(a,2,2))]. 12344 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [para(12343(a,1),6939(a,1)),flip(a)]. 12345 K(x * y,z) * x = x * K(y * x,z). [hyper(10954,a,12344,a),flip(a)]. 12346 K(x * y,T(z,x)) = K(y * x,z). [hyper(6614,a,12345,a)]. 12347 K(x * y,T(z,y)) = K(y * x,z). [hyper(18,a,7469,a,b,12345,a),flip(a)]. 12349 K((x \ y) * x,z) = K(y,T(z,x)). [para(14(a,1),12346(a,1,1)),flip(a)]. 12350 K(x * y,z) * (y * x) = T(y * x,T(z,y)). [para(12346(a,1),4609(a,2,1)),flip(a)]. 12351 K(((x * (y \ z)) / x) * y,u) = K(z * K(x,(z \ y) \ 1),T(u,y)). [para(5064(a,2),12346(a,1,1)),flip(a)]. 12352 K(x * y,z) * y = y * K(y * x,z). [para(12346(a,1),7469(a,1,1))]. 12353 K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). [para(12346(a,1),7854(a,1)),flip(a)]. 12354 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(12346(a,1),12057(a,1,1))]. 12355 K(x * (y / x),z) = K(y,T(z,x)). [para(16(a,1),12347(a,1,1)),flip(a)]. 12356 K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). [para(307(a,1),12347(a,1,1))]. 12358 K(x * y,(z * y) \ y) = K(y * x,z \ 1). [para(12347(a,1),7290(a,1)),flip(a)]. 12359 K(T(x,y) * z,T(u,K(x,y))) = K(z * T(x,y),T(u,x)). [para(7820(a,1),12347(a,1,2)),flip(a)]. 12360 K((x \ y) * x,T(y,z)) = 1. [para(12349(a,2),313(a,1))]. 12361 T(x,(y \ z) * y) = x / K(z,T(x,y)). [para(12349(a,1),4551(a,2,2))]. 12362 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(3550(a,2),12355(a,1,1))]. 12363 K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). [para(5285(a,1),12355(a,1,1,2)),flip(a)]. 12364 T(x,(y \ z) * y) = T(x,T(z,y)). [para(12361(a,2),6590(a,1))]. 12365 T(x,T(y * z,y)) = T(x,z * y). [para(13(a,1),12364(a,1,2,1)),flip(a)]. 12366 T(x,T(y * z,y)) = x * K(x,z * y). [para(12365(a,2),4597(a,1))]. 12367 K(x,y) * T(x,y * z) = T(T(x,y),z * y). [para(12365(a,1),7650(a,1)),flip(a)]. 12368 T(T(x,K(y,z)),z * y) = T(x,y * z). [para(12365(a,1),7832(a,2))]. 12369 K(T(x \ y,x) * x,y) = 1. [para(12362(a,2),12360(a,1))]. 12370 x * K(T(y \ z,y) * y,z) = x. [para(12369(a,2),12(a,1,2))]. 12371 K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). [hyper(7845,a,12366,a)]. 12372 T(K(x,y * z),y) = K(x,z * y). [hyper(6624,a,12366,a)]. 12373 K(x,T(y * z,y)) = K(x,z * y). [hyper(4657,a,12366,a)]. 12374 T(x,K(y,z * x)) = T(x,K(y,x * z)). [para(12372(a,1),3842(a,1,2))]. 12375 K(x,(y \ z) * y) = K(x,T(z,y)). [para(14(a,1),12373(a,1,2,1)),flip(a)]. 12376 K(x,L(x,y,z) * u) = K(x,u * L(x,y,z)). [para(12373(a,1),6583(a,1)),flip(a)]. 12377 T(x * y,T(z,x)) \ 1 = (x * y) \ K(z,y * x). [para(12373(a,1),6593(a,2,2))]. 12378 K(x,T(y * z,z)) = K(x,z * y). [para(12373(a,1),7863(a,2))]. 12379 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [para(12373(a,1),7876(a,2))]. 12380 K(x,(y * (z \ 1)) * z) = K(x,L(y,z \ 1,z)). [para(12373(a,1),9665(a,1))]. 12381 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(12373(a,1),11996(a,1,2)),flip(a)]. 12382 K(x,y * (z / y)) = K(x,T(z,y)). [para(16(a,1),12378(a,1,2,1)),flip(a)]. 12383 K(x,T(y / (z \ 1),z)) = K(x,y / (T(z,y) \ 1)). [para(9922(a,2),12382(a,1,2)),flip(a)]. 12384 K(x,T(y,z)) \ ((z * (y / z)) / y) = T(z * (y / z),x) / y. [para(12382(a,1),11517(a,1,1))]. 12385 T(x / y,(y \ x) * z) = T(x / y,z * (y \ x)). [para(6643(a,1),12368(a,1,1))]. 12386 T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(u,z)). [para(7395(a,1),12368(a,1,1,2))]. 12387 T(T(x,K(y,K(z,u))),K(z,z * u) * y) = T(x,y * K(z,z * u)). [para(7426(a,1),12368(a,1,1,2))]. 12388 T(T(x,K(y,z)),T(T(z,u),u) * y) = T(x,y * T(T(z,u),u)). [para(7477(a,1),12368(a,1,1,2))]. 12389 T(T(x,y * z),K(y,z)) = T(x,z * y). [para(12368(a,1),7432(a,1)),flip(a)]. 12390 T(x,K(y,x * z)) = T(x,K(z,y)). [para(12374(a,1),7641(a,1))]. 12391 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(12390(a,1),7818(a,1,1))]. 12392 T(x,K(y,z)) * (y * z) = (y * z) * T(x,z * y). [para(12389(a,1),160(a,1,2)),flip(a)]. 12393 T(x,y * z) \ T(x,K(z,y)) = K(z * y,T(x,K(z,y))). [para(12389(a,1),4548(a,1,1))]. 12394 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (1 / x) * T(y * x,T(1 / x,y)). [para(12350(a,1),12309(a,2,2))]. 12395 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). [para(1789(a,1),12353(a,1,1)),flip(a)]. 12396 K(T(x * y,(z * y) \ y) \ ((x * y) * u),w) = K(K(y * x,z \ 1) \ u,w). [para(12358(a,1),4966(a,2,1,1))]. 12397 T(x,T(y * z,z)) = T(x,z * y). [hyper(17,a,6745,a,b,12367,a),flip(a)]. 12398 T(x,y * (z / y)) = T(x,T(z,y)). [para(16(a,1),12397(a,1,2,1)),flip(a)]. 12399 K(x,x * T(y * z,z)) \ T(x,z * y) = R(x,T(y * z,z),x). [para(12397(a,1),5016(a,1,2))]. 12400 T((x * y) \ x,y * x) = (((x * y) \ x) \ x) \ x. [para(12397(a,1),7870(a,1))]. 12401 T(x,((y \ z) \ 1) * z) = T(x,z * ((z / y) \ 1)). [para(12397(a,1),9926(a,1)),flip(a)]. 12402 K(x,(((y / (z \ 1)) / y) * y) \ (u * (y * ((y / (z \ 1)) / y)))) = K(x,K(z,y) \ T(u,T(y / (z \ 1),y))). [para(12398(a,1),12299(a,2,2,2))]. 12403 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [para(12379(a,1),9668(a,1))]. 12404 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). [para(16(a,1),12381(a,2,2,2))]. 12405 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [para(12381(a,1),7737(a,1)),flip(a)]. 12406 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [para(12381(a,1),7790(a,1,2,2))]. 12407 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [para(12391(a,1),4001(a,2))]. 12408 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(12404(a,1),8273(a,2,2))]. 12409 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [para(12405(a,1),7752(a,1))]. 12410 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(12407(a,1),160(a,1,2))]. 12411 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,u)). [para(7378(a,1),12408(a,2,2))]. 12413 (x \ y) * K(y,K(z,u)) = x \ T(y,K(z,u)). [para(59(a,1),12411(a,1,1)),flip(a)]. 12414 T(x,K(y,L(z,u \ 1,u))) = T(x,K(y,z)). [para(12380(a,1),12001(a,1,2))]. 12415 T(x,K(y,(z \ 1) \ u)) = T(x,K(y,z * u)). [para(348(a,1),12414(a,1,2,2)),flip(a)]. 12416 T(x,K(y,z \ (u \ 1))) = T(x,K(y,u * z)). [para(12415(a,1),7764(a,1)),flip(a)]. 12417 T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). [para(12377(a,2),11820(a,1))]. 12418 K(x,y / (T(z,y) \ 1)) = K(x,(z \ 1) \ y). [para(12383(a,1),7858(a,1))]. 12419 K(x,(y / z) / (z \ 1)) = K(x,(z \ 1) \ (z \ y)). [para(9974(a,1),12418(a,1,2))]. 12420 T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). [para(12406(a,1),8716(a,1)),flip(a)]. 12421 (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). [para(12420(a,1),11223(a,1,2))]. 12422 K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(12356(a,1),7854(a,1)),flip(a)]. 12423 T(x,y * z) \ T(x,K(y,z)) = K(z * y,T(x,K(z,y))). [para(7431(a,1),12393(a,1,2))]. 12424 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(4382(a,2),12410(a,1,2))]. 12425 K(x,y * z) \ K(x,K(y,z)) = K(z * y,T(x,K(z,y))). [para(12423(a,1),4962(a,2))]. 12426 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(11750(a,1),12354(a,1,1,1))]. 12427 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = T(L(K(z,u),y,x),T(x * y,K(z,u))). [para(12421(a,1),111(a,1,1)),flip(a)]. 12428 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)). [para(12421(a,1),4817(a,1,2,2)),flip(a)]. 12429 K(x,T(y,z)) \ K(z,z \ y) = T(z * (y / z),x) / y. [para(4893(a,1),12384(a,1,2))]. 12430 K(x,T(y,z)) \ K(z,z \ y) = (z * (T(y,x) / z)) / y. [para(4343(a,1),12429(a,2,1))]. 12431 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [para(12409(a,1),7714(a,1))]. 12432 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [para(12431(a,1),7737(a,1)),flip(a)]. 12433 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(5133(a,2),12432(a,2,2))]. 12434 T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)). [para(9809(a,1),12417(a,1,1))]. 12435 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [para(12434(a,1),12178(a,1))]. 12436 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(12435(a,1),9777(a,1,1)),flip(a)]. 12437 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [para(12436(a,1),10736(a,1))]. 12438 K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(642(a,1),12422(a,1,1))]. 12439 K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). [para(12438(a,1),6588(a,1))]. 12440 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),T(x * y,K(z,u))),y,x). [para(12427(a,2),40(a,2)),flip(a)]. 12441 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). [para(3842(a,1),12440(a,2,1))]. 12442 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). [para(6535(a,2),12441(a,2,1))]. 12443 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(10252(a,1),12437(a,1,1)),flip(a)]. 12445 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). [para(50(a,1),12395(a,2,1,2,2,1,2))]. 12446 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). [para(11(a,1),12445(a,2,1,2))]. 12447 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(((x * z) / x) / y,u). [para(12446(a,2),7484(a,1))]. 12448 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (y * K(y * x,T(z,y))). [para(12341(a,2),95(a,1))]. 12449 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(6537(a,1),12448(a,2,2))]. 12450 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(109(a,1),12449(a,1,1,2,2,1))]. 12451 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7643(a,1),12450(a,1,1,2))]. 12452 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(6587(a,1),12451(a,1,1))]. 12453 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(109(a,1),12452(a,1,2,1,1,1))]. 12455 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(12453(a,1),4692(a,1,2)),flip(a)]. 12456 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [para(12455(a,2),4877(a,1))]. 12457 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [para(12456(a,1),3780(a,1))]. 12458 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [para(12457(a,1),8468(a,1))]. 12459 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(12458(a,2),11055(a,1,1))]. 12460 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(12352(a,1),12459(a,1,1,1))]. 12461 T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(5618(a,2),12460(a,1,2,2))]. 12462 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(28(a,2),12433(a,1,2,2,2)),flip(a)]. 12463 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (1 / x) * T(y * x,1 / x). [para(11080(a,1),12394(a,2,2))]. 12464 (x * y) * (T(L(y,x,1 / x),(x * y) / L(y,x,1 / x)) / (x * y)) = (y * x) * (1 / x). [para(12463(a,2),109(a,1))]. 12465 (x * y) * (((1 / x) * (y * x)) / (x * y)) = (y * x) * (1 / x). [para(4090(a,1),12464(a,1,2,1))]. 12466 (x * y) * (1 / T(x,y)) = (y * x) * (1 / x). [para(10313(a,1),12465(a,1,2))]. 12467 (x * (x \ (y / (1 / x)))) * (1 / T(x,x \ (y / (1 / x)))) = (T(y,x) / (1 / x)) * (1 / x). [para(4351(a,1),12466(a,2,1))]. 12468 (x / (1 / y)) * (1 / T(y,y \ (x / (1 / y)))) = (T(x,y) / (1 / y)) * (1 / y). [para(14(a,1),12467(a,1,1))]. 12470 (x / (1 / y)) * (1 / T(y,(x / (1 / y)) / y)) = (T(x,y) / (1 / y)) * (1 / y). [para(3849(a,2),12468(a,1,2,2))]. 12471 K(x,(((y / (z \ 1)) / y) * y) \ (u * (y * ((y / (z \ 1)) / y)))) = K(x,K(z,y) \ T(u,(z \ 1) \ y)). [para(6503(a,1),12402(a,2,2,2))]. 12472 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5297(a,1),12426(a,1,1))]. 12473 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(14(a,1),12472(a,1,2,2,1,2))]. 12475 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(8342(a,1),12473(a,1,2))]. 12476 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / (x * y). [para(123(a,1),12428(a,2,2))]. 12478 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(x * y,K(z,u)). [para(12476(a,2),4608(a,2)),flip(a)]. 12479 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(z,K(u,x * y)). [para(12478(a,2),7378(a,2)),flip(a)]. 12480 K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). [para(12442(a,1),12479(a,1,2))]. 12481 K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). [para(12480(a,1),8089(a,1)),flip(a)]. 12482 K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [para(12481(a,1),7374(a,1)),flip(a)]. 12483 K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [para(12482(a,1),6606(a,1)),flip(a)]. 12484 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(4768(a,1),12483(a,1,2))]. 12486 (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). [para(12322(a,1),12408(a,1)),flip(a)]. 12487 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)). [para(9627(a,1),12486(a,1,2,2)),flip(a)]. 12488 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))). [para(7395(a,1),12487(a,2,2))]. 12490 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(y,x * u)). [para(12484(a,1),12488(a,2,2))]. 12491 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(7374(a,1),12490(a,2,2))]. 12492 T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(11214(a,1),12491(a,1,1,2))]. 12493 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(12492(a,1),10347(a,2))]. 12494 (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))). [para(11804(a,1),12493(a,1,1)),flip(a)]. 12495 (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(5390(a,1),8825(a,1,1,1))]. 12496 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(2299(a,1),12198(a,2,1))]. 12497 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(6295(a,1),12496(a,2,1))]. 12498 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / u). [para(11(a,1),12497(a,2,2,2))]. 12499 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (x \ L(x,y,z)). [para(15(a,1),12498(a,2,2))]. 12501 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). [para(12499(a,2),4609(a,2)),flip(a)]. 12502 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. [para(12196(a,1),12501(a,1,1,1,2,1)),flip(a)]. 12503 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. [para(11(a,1),12502(a,2,1,1,2))]. 12505 T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. [para(15(a,1),12503(a,2,1,1))]. 12506 (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). [para(12505(a,1),12197(a,1,2))]. 12507 (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(12506(a,1),2058(a,1)),flip(a)]. 12508 K(x \ L(x,y,z),a(z,y,x)) = 1. [para(12507(a,1),12032(a,1))]. 12509 x * K(y \ L(y,z,u),a(u,z,y)) = x. [para(12508(a,2),12(a,1,2))]. 12511 K(a(x,y,z),z \ L(z,y,x)) = 1. [hyper(4803,a,12509,a)]. 12512 1 / a(x,y,z) = a(x,y,z) \ 1. [para(12511(a,1),6190(a,1,2)),flip(a)]. 12513 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(12512(a,1),61(a,1,1))]. 12514 K(x,x \ 1) * (a(y,z,u) \ 1) = K(x,x \ 1) / a(y,z,u). [para(12512(a,1),3367(a,1,2))]. 12516 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(24(a,1),12513(a,1,1,1)),flip(a)]. 12517 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(11852(a,1),12513(a,1,1))]. 12518 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [para(12517(a,1),12513(a,1))]. 12519 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(12518(a,2),8753(a,2))]. 12520 T(a(x,y,z),x) = a(x,y,z). [para(12516(a,2),11688(a,1)),flip(a)]. 12521 a(x,y,z) * x = x * a(x,y,z). [para(12520(a,1),109(a,1,2)),flip(a)]. 12522 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(3716(a,2),12520(a,1,1))]. 12523 (K(x,y) / z) * a(K(x,y) / z,z,K(y,x)) = 1 / (z * K(y,x)). [para(12521(a,1),9690(a,1))]. 12524 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [para(12522(a,1),12171(a,1))]. 12525 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [para(12524(a,1),11098(a,2))]. 12526 K(x,x \ 1) / a(y,z,u) = a(y,z,u) \ K(x,x \ 1). [para(12514(a,1),4266(a,1))]. 12527 K(x,y * (1 / (z * K(x,u)))) = K(x,y * (K(u,x) / z)). [para(12523(a,1),9369(a,1,2,2))]. 12528 K(x,y * ((z * K(x,u)) \ 1)) = K(x,y * (K(u,x) / z)). [para(12527(a,1),5076(a,1)),flip(a)]. 12529 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (K(z,x) / u)). [para(12528(a,1),9117(a,2))]. 12530 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (u \ 1)). [para(12529(a,2),11025(a,1))]. 12531 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * (u \ 1)). [para(12530(a,1),10667(a,2))]. 12533 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [para(12525(a,1),11784(a,1)),flip(a)]. 12534 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y * K(x,z),u,u \ 1)). [para(358(a,1),12531(a,2,2))]. 12536 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y,u,u \ 1)). [para(12534(a,2),10662(a,1))]. 12537 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,R(y,z,z \ 1)). [para(12536(a,1),8333(a,1)),flip(a)]. 12540 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(6215(a,1),12519(a,1,1,2))]. 12541 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(435(a,1),12540(a,1,1))]. 12542 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(162(a,1),12541(a,1,2)),flip(a)]. 12543 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [para(12542(a,2),1880(a,1))]. 12544 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(42(a,2),12543(a,2,3))]. 12545 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [para(12544(a,1),12518(a,1)),flip(a)]. 12546 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [para(12545(a,1),11851(a,1)),flip(a)]. 12547 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [para(12546(a,1),11676(a,1))]. 12549 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [para(12547(a,1),11093(a,2))]. 12551 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [para(12549(a,1),9006(a,1)),flip(a)]. 12553 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(12551(a,1),11038(a,1,2)),flip(a)]. 12554 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(32(a,2),12553(a,2,2,2))]. 12555 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(9896(a,1),12554(a,2,2))]. 12556 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [para(12555(a,1),11527(a,1)),flip(a)]. 12557 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(261(a,1),12556(a,1,2,3))]. 12558 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(9486,a,12557,a)]. 12559 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [para(12558(a,1),11501(a,2))]. 12560 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [para(12558(a,1),12551(a,1))]. 12561 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(14(a,1),12559(a,1,2)),flip(a)]. 12562 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(12561(a,1),9747(a,1,2)),flip(a)]. 12563 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12561(a,1),9759(a,1,2)),flip(a)]. 12564 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [para(12562(a,1),10072(a,1))]. 12565 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(12560(a,1),9898(a,1,1))]. 12566 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [para(12565(a,1),9887(a,1)),flip(a)]. 12567 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(10099(a,1),12564(a,1,2,1)),flip(a)]. 12569 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [para(12567(a,2),12563(a,2)),flip(a)]. 12570 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(12569(a,1),11411(a,2,1,1))]. 12571 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(12443(a,1),12570(a,2,1))]. 12573 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12561(a,1),12571(a,2,1,1))]. 12574 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(6496(a,1),12573(a,1,1,1))]. 12576 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(10677(a,1),12574(a,1,1))]. 12577 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(8582(a,1),12576(a,1,1)),flip(a)]. 12578 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [para(12577(a,1),362(a,1,2))]. 12579 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [para(12578(a,1),10831(a,1))]. 12580 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(9485(a,1),12579(a,2,2))]. 12581 a(R(a(x,y,x),z,u),z,u) = 1. [para(12580(a,2),9493(a,1))]. 12583 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(33,a,12581,a)]. 12585 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(12583(a,1),10911(a,1,2))]. 12586 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(9510(a,1),12585(a,1,1,2,1))]. 12587 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [para(12586(a,1),199(a,1))]. 12588 R(a(x,y,x),z,u) = a(x,y,x). [hyper(17,a,9479,a(flip),b,12587,a)]. 12590 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(12588(a,1),104(a,1,1)),flip(a)]. 12593 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [para(12588(a,1),366(a,2))]. 12597 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [para(12588(a,1),9827(a,1))]. 12598 a(x,y,R(x,z,u)) = a(x,y,x). [para(12588(a,1),12559(a,1)),flip(a)]. 12599 L(x,y,a(z,u,z)) = x. [para(12588(a,1),12583(a,1,3))]. 12600 (a(x,y,x) \ z) \ u = z \ (a(x,y,x) * u). [para(12599(a,1),343(a,1))]. 12601 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(12599(a,1),386(a,1,2))]. 12602 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(12599(a,1),333(a,1,2,1)),flip(a)]. 12604 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(12598(a,1),12566(a,1,2)),flip(a)]. 12606 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5256(a,1),12597(a,1,2)),flip(a)]. 12608 (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) = a(x,a(y,z,y) * u,w). [para(12590(a,1),24(a,2,1,2)),flip(a)]. 12609 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(12590(a,1),24(a,2,1)),flip(a)]. 12610 (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). [para(12590(a,1),28(a,2,1)),flip(a)]. 12611 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(9479(a,1),12590(a,1,1))]. 12612 a(x,y,x) * ((a(x,y,x) \ z) / u) = z / u. [para(14(a,1),12601(a,1,1)),flip(a)]. 12613 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [para(12611(a,2),11441(a,1))]. 12614 (a(x,y,x) \ z) / u = a(x,y,x) \ (z / u). [hyper(71,a,12612,a),flip(a)]. 12615 K(x,R(x,y,z) \ u) = K(x,x \ u). [para(12604(a,2),8428(a,1))]. 12617 K(x,x \ (y * z)) = K(x,(x \ y) * z). [para(390(a,1),12615(a,1,2)),flip(a)]. 12618 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [para(12615(a,1),9888(a,1))]. 12619 K(x,(x \ y) * z) = K(x,y * (x \ z)). [para(12617(a,1),10430(a,1))]. 12620 (T(x,y) \ K(x,z * (x \ u))) \ (T(x,y) \ 1) = K((x \ z) * u,x). [para(12619(a,1),6986(a,1,1,2))]. 12621 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [para(12618(a,1),10852(a,1)),flip(a)]. 12623 K(x,y \ R(x,z,u)) = K(x,y \ x). [para(12621(a,1),11922(a,1)),flip(a)]. 12624 K(x,y \ (z * R(x,u,w))) = K(x,(z \ y) \ x). [para(12623(a,1),10630(a,1)),flip(a)]. 12625 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ x). [para(12623(a,1),12081(a,2))]. 12626 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [para(12623(a,1),12085(a,1)),flip(a)]. 12628 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [para(12626(a,1),11651(a,1))]. 12630 K(x,y \ (z * R(x,u,w))) = K(x,x * (y \ z)). [para(12624(a,2),10564(a,1))]. 12632 K(x,((x * y) * z) / u) = K(x,(u / (y * z)) \ x). [para(12625(a,1),12079(a,1)),flip(a)]. 12634 K(x,y \ ((x * z) * u)) = K(x,x * (y \ (z * u))). [para(12630(a,1),9637(a,1)),flip(a)]. 12636 K(x,y \ ((z * u) * x)) = K(x,y \ ((x * z) * u)). [para(12634(a,2),10560(a,2))]. 12638 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(9492(a,1),12593(a,1,1,1))]. 12639 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [para(12606(a,1),11095(a,1)),flip(a)]. 12640 K((x \ y) * z,x) = K(y * (x \ z),x). [para(12620(a,1),6986(a,1))]. 12641 K(x \ (y * z),x) = K((x \ y) * z,x). [para(12640(a,2),11166(a,2))]. 12642 K(x \ ((x * y) * z),x) = K(y * z,x). [para(13(a,1),12641(a,2,1,1))]. 12643 K(x \ ((y * x) * z),x) = K(y * z,x). [para(12642(a,1),10909(a,2))]. 12644 K((x \ y) \ (y * z),x \ y) = K(x * z,x \ y). [para(14(a,1),12643(a,1,1,2,1))]. 12645 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [para(12628(a,1),11731(a,1)),flip(a)]. 12646 R(K(x,y),z,u) = K(R(x,z,u),y). [para(5208(a,1),12645(a,1,1))]. 12648 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(12646(a,1),9413(a,1,1,1,2))]. 12649 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [para(12648(a,1),11645(a,1)),flip(a)]. 12650 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [para(51(a,1),12649(a,1,2))]. 12651 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(75,a,12650,a),flip(a)]. 12653 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(358(a,2),12651(a,2,2)),flip(a)]. 12656 R(K(x,y),K(z,y),u) = K(x,y). [para(5219(a,1),12651(a,2,2))]. 12659 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(12651(a,1),12109(a,1,2))]. 12660 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(12651(a,1),12133(a,2,1,2))]. 12661 K(R(x,y,z),u) = K(x,R(u,y,z)). [para(12651(a,1),12646(a,1)),flip(a)]. 12662 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(12656(a,1),11083(a,1,2,1)),flip(a)]. 12663 K(R(x,K(y,z),u),z) = K(x,z). [para(12656(a,1),12646(a,1)),flip(a)]. 12664 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(46(a,1),12663(a,1,1))]. 12665 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [para(12661(a,1),6414(a,1))]. 12667 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [para(12659(a,1),11577(a,1,1)),flip(a)]. 12669 a(K(x,y),z * y,u) = a(K(x,y),z,u). [para(12659(a,1),12114(a,1)),flip(a)]. 12670 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [para(12653(a,1),12371(a,2))]. 12671 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [para(12664(a,1),9218(a,1)),flip(a)]. 12672 ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(12662(a,1),5429(a,1,2,2))]. 12674 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [para(12670(a,1),8696(a,1))]. 12675 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [para(12674(a,1),12651(a,1)),flip(a)]. 12676 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(420(a,1),12675(a,1,2)),flip(a)]. 12677 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,L(y,z,z \ 1)). [para(12675(a,1),12537(a,2))]. 12678 L(K(x,y / z),z,z \ 1) = K(x,y * (z \ 1)). [para(12676(a,1),11214(a,2))]. 12679 K(x,(y * z) * (z \ 1)) = L(K(x,y),z,z \ 1). [para(15(a,1),12678(a,1,1,2)),flip(a)]. 12680 K(x \ 1,(x \ 1) * (y * x)) = L(K(x \ 1,y),x,x \ 1). [para(12679(a,1),5131(a,1)),flip(a)]. 12681 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(12667(a,1),11821(a,1,1,1))]. 12682 R(K(x,y),z,(K(x,u) * z) \ 1) = K(x,L(y,z,z \ 1)). [para(12677(a,1),12651(a,2))]. 12683 x / (K(y,L(z,u,u \ 1)) * x) = u * ((K(y,z) * u) \ 1). [para(12682(a,1),6406(a,1,2,1))]. 12684 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [para(12665(a,1),12661(a,1)),flip(a)]. 12685 K(x \ 1,(x \ 1) * (y * x)) = K(x \ 1,y). [para(12680(a,2),6448(a,1))]. 12688 x * ((K(y,z) * x) \ 1) = K(L(z,x,x \ 1),y). [para(12683(a,1),4912(a,1))]. 12690 x * ((K(y,z) * x) \ 1) = K(z,L(y,x,x \ 1)). [para(12688(a,2),11256(a,1))]. 12691 x \ K(y,L(z,x,x \ 1)) = (K(z,y) * x) \ 1. [hyper(71,a,12690,a)]. 12692 K(x,((K(y,x) * (z \ 1)) \ 1) \ u) = K(x,z \ u). [para(12691(a,1),8739(a,1,2,1))]. 12693 K(x,(((y \ 1) * K(z,x)) \ 1) \ u) = K(x,y \ u). [para(6640(a,1),12692(a,1,2,1,1))]. 12694 K(x,((y * K(z,x)) \ 1) \ u) = K(x,(y \ 1) \ u). [para(12693(a,1),5329(a,1)),flip(a)]. 12695 K(x,((T(y,x) / z) \ 1) \ u) = K(x,((y / z) \ 1) \ u). [para(1101(a,1),12694(a,1,2,1,1))]. 12696 K(x,((y / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [para(12695(a,1),9414(a,1))]. 12697 (T(x,y) / z) \ x = z * K(y,((x / z) \ 1) \ z). [para(12696(a,2),14(a,1,2)),flip(a)]. 12698 (T(x,y) / z) \ x = (1 / z) \ K(y,x). [para(12697(a,2),11878(a,1))]. 12699 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [para(59(a,1),12698(a,1,1)),flip(a)]. 12701 1 / ((1 / x) \ K(y,z)) = K(z,y) / x. [para(12698(a,1),11866(a,1,2))]. 12702 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,L(L(x,z,u),w,v5) / y). [para(12699(a,2),6645(a,2,2)),flip(a)]. 12704 (K(x,y) / z) \ 1 = (1 / z) \ K(y,x). [para(12701(a,1),61(a,1,1))]. 12705 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(4597(a,2),12660(a,2,1))]. 12706 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(30(a,2),12671(a,1,1))]. 12708 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [para(12706(a,1),7218(a,2))]. 12709 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [para(12708(a,1),8722(a,2))]. 12710 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [para(12709(a,1),10645(a,1)),flip(a)]. 12711 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [para(12710(a,1),8719(a,1))]. 12713 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(12711(a,1),4702(a,2,2,2))]. 12714 T(x,R(y,K(z,x) * u,w)) = T(x,R(y,u,w)). [para(12713(a,2),4702(a,2)),flip(a)]. 12715 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [para(12714(a,1),10672(a,1)),flip(a)]. 12716 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [para(12715(a,1),4139(a,2))]. 12719 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(104(a,1),12638(a,1,1))]. 12720 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12613(a,1),12719(a,1,1,1))]. 12721 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(14(a,1),12720(a,1,2,1))]. 12722 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(11442(a,1),12721(a,1,1,1)),flip(a)]. 12723 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [para(12722(a,2),30(a,2)),flip(a)]. 12724 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(13(a,1),12723(a,1,2,2)),flip(a)]. 12725 a(x,R(y,z,u),x) = a(x,y,x). [para(12724(a,1),12588(a,1))]. 12726 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(12725(a,1),9491(a,1,1)),flip(a)]. 12728 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [para(12726(a,2),9491(a,1))]. 12729 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(12728(a,1),12280(a,1,2))]. 12730 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(557(a,1),12729(a,1,2)),flip(a)]. 12732 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(12730(a,1),4561(a,2,2)),flip(a)]. 12733 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [para(12732(a,1),12255(a,1)),flip(a)]. 12734 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(12114(a,1),12733(a,1,1))]. 12735 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [para(12734(a,1),12321(a,2)),flip(a)]. 12736 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(457(a,1),12735(a,2,1,2))]. 12737 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(16(a,1),12736(a,1,1))]. 12738 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(12736(a,1),5208(a,2))]. 12739 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(12737(a,1),9285(a,1)),flip(a)]. 12740 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [para(12739(a,1),12403(a,1)),flip(a)]. 12741 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(4750(a,1),12740(a,2,1))]. 12742 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(12736(a,1),12738(a,1,1))]. 12743 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). [para(12590(a,1),12610(a,1,2))]. 12744 L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). [para(12743(a,1),332(a,1)),flip(a)]. 12745 L(x,y,a(z,u,z) * w) = L(x,y,w). [para(12744(a,1),12599(a,1))]. 12746 L(x,y,a(z,u,z) \ w) = L(x,y,w). [para(14(a,1),12745(a,1,3)),flip(a)]. 12747 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [para(8413(a,1),12745(a,1,3))]. 12748 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [para(8423(a,1),12745(a,1,3))]. 12749 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(8390(a,1),12746(a,1,3))]. 12750 L(x,y,L(z,u,z)) = L(x,y,z). [para(8572(a,1),12746(a,1,3))]. 12751 L(x,y,(z \ u) \ u) = L(x,y,T(z,u)). [para(11901(a,1),12750(a,1,3)),flip(a)]. 12752 L(x \ (y * z),x,K(z,y)) = (K(y,T(y,y * z) * z) \ x) \ T(T(T(y,y * z) * z,y),y). [para(12747(a,1),11764(a,1))]. 12753 L(x,y,K(z \ u,u)) = L(x,y,K(z \ u,z)). [para(4771(a,1),12748(a,1,3)),flip(a)]. 12754 L(x,y / z,K(y,z)) = x. [para(12749(a,1),6628(a,1))]. 12755 L(x,y,K(z \ x,z)) = x. [para(12749(a,2),6675(a,1))]. 12756 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(12754(a,1),5009(a,1,2)),flip(a)]. 12757 L(x * y,z,K(x,y)) = x * y. [para(4749(a,1),12755(a,1,3))]. 12758 L(x,y,T(T(z,z \ u),w)) = L(x,y,T(T(z,w),u)). [para(6946(a,2),12751(a,1,3))]. 12759 L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). [para(12753(a,2),12749(a,1))]. 12760 L(x,K(y,z),K(y,u)) = x. [para(12759(a,1),9785(a,1))]. 12761 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [para(12760(a,1),95(a,1,2))]. 12762 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [para(12760(a,1),5501(a,1)),flip(a)]. 12763 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(4928,a,12756,a)]. 12764 R(K(x,y),x \ y,z) = K(x,y). [hyper(8799,a,12763,a)]. 12765 R(K(x,x * y),y,z) = K(x,x * y). [para(13(a,1),12764(a,1,2))]. 12767 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [para(12765(a,1),10048(a,2))]. 12768 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(12765(a,1),10049(a,2,2))]. 12769 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(12767(a,1),11732(a,1,1))]. 12771 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [para(12768(a,2),4597(a,2)),flip(a)]. 12773 T(x,(y / (z * y)) \ x) = T(x,x * z). [para(12771(a,1),4262(a,1)),flip(a)]. 12774 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(16(a,1),12773(a,1,2,1,2))]. 12775 T(x,(y * x) / z) = T(x,x * (y / z)). [para(12774(a,1),8131(a,2))]. 12776 x * K(x,x * (y / z)) = T(x,(y * x) / z). [para(12775(a,2),4597(a,1)),flip(a)]. 12777 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(17,a,4597,a(flip),b,12776,a),flip(a)]. 12778 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(12777(a,1),7542(a,1,1,2))]. 12779 K(x,(y / z) \ x) = K(x,x * (z / y)). [para(12777(a,1),7907(a,1)),flip(a)]. 12780 K(x,(y / z) \ x) \ T(x,z / y) = R(x,z / y,x). [para(12779(a,2),5016(a,1,1))]. 12781 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(12779(a,1),6225(a,1,1))]. 12782 (x * K(y,y * (z / u))) \ x = K((u / z) \ y,y). [para(12779(a,1),6793(a,1,1,2))]. 12783 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [para(12762(a,1),5729(a,1))]. 12784 K((x / y) \ z,z) = K(z * (y / x),z). [para(12782(a,1),4675(a,1))]. 12785 K(x * (y \ z),T(x,y)) = K(x * (z / y),x). [para(12784(a,1),11368(a,2))]. 12786 K(x * (y \ z),T(x,z)) = K(x * (z / y),x). [para(12785(a,1),9171(a,2))]. 12787 K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). [para(12786(a,1),10256(a,1,1))]. 12788 K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). [para(7537(a,1),12787(a,1,2))]. 12789 a(x,y / z,x) = a(x,z \ y,x). [para(12788(a,1),8399(a,1)),flip(a)]. 12790 a(x,(y \ z) \ z,x) = a(x,y,x). [para(59(a,1),12789(a,1,2)),flip(a)]. 12791 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(105(a,2),12789(a,1,2))]. 12793 x * a(y,y \ x,y) = y * (T(x,y) / y). [para(12789(a,1),8451(a,1,2))]. 12794 a(x,y * K(z,y),x) = a(x,y,x). [para(5403(a,1),12790(a,1,2)),flip(a)]. 12795 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(10962(a,1),12790(a,1,2)),flip(a)]. 12796 a(x,T(y,z),x) = a(x,y,x). [para(4615(a,1),12794(a,1,2)),flip(a)]. 12798 a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). [para(12796(a,2),11089(a,2)),flip(a)]. 12799 a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(12796(a,1),8426(a,1,1))]. 12800 x \ (y * (T(x,y) / y)) = a(y,y \ x,y). [hyper(71,a,12793,a)]. 12801 a(x,x \ y,x) * y = x * (T(y,x) / x). [para(12793(a,1),9479(a,2))]. 12802 L(x,y,z) \ (u * (L(T(x,u),y,z) / u)) = a(u,u \ L(x,y,z),u). [para(40(a,2),12800(a,1,2,2,1))]. 12803 L(x,y,z * (T(u,z) / z)) = L(x,y,u). [para(12801(a,1),12745(a,1,3))]. 12804 L(x,y,(z \ u) * z) = L(x,y,T(u,z)). [para(1042(a,1),12803(a,1,3)),flip(a)]. 12805 L(x,y,T(z * u,z)) = L(x,y,u * z). [para(1044(a,1),12803(a,1,3))]. 12806 L(x,y,T((z \ u) * z,z \ u)) = L(x,y,u). [para(4355(a,1),12803(a,1,3))]. 12807 L(x,y,T((T(z,z \ u) / u) * u,T(z,z \ u) / u)) = L(x,y,(z \ u) \ T(u,u \ z)). [para(5951(a,2),12805(a,2,3))]. 12808 L(x,y,(z \ T(u,z \ u)) * z) = L(x,y,u). [para(4378(a,1),12806(a,1,3))]. 12809 L(x,y,T(T(z,u \ z),u)) = L(x,y,z). [para(12808(a,1),12804(a,1)),flip(a)]. 12810 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [para(12791(a,1),12795(a,1)),flip(a)]. 12811 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [para(12810(a,1),12725(a,1))]. 12812 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(11(a,1),12811(a,1,2,2))]. 12813 a(x,y \ (z * T(y,u)),x) = a(x,K(u,y) \ z,x). [para(4562(a,1),12811(a,1,2,1))]. 12814 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(12811(a,1),9502(a,1,2,1)),flip(a)]. 12816 a(x,y / (z * y),x) = a(x,z \ 1,x). [para(12812(a,1),12789(a,2))]. 12817 a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). [para(11741(a,1),12816(a,1,2,2)),flip(a)]. 12818 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [para(12778(a,1),7542(a,1))]. 12819 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [para(12818(a,1),8162(a,1)),flip(a)]. 12820 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [para(12819(a,1),9322(a,1)),flip(a)]. 12821 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(12820(a,1),12475(a,1,2))]. 12822 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [para(12781(a,1),6225(a,1))]. 12823 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [para(12814(a,2),9502(a,1))]. 12825 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [para(12769(a,2),12779(a,1))]. 12826 K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). [hyper(10262,a,12798,a)]. 12827 K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). [para(12826(a,2),6535(a,1))]. 12829 T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). [para(7622(a,2),12827(a,2,1)),flip(a)]. 12830 T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). [para(5189(a,2),12829(a,1,1,1))]. 12831 K(x,K(y,T(z,u))) * K(y * x,T(x,u)) = K(x * T(y,u),T(x,z)). [para(12830(a,1),12268(a,2))]. 12832 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(30(a,2),12825(a,2,2,2))]. 12833 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [para(12832(a,1),12651(a,1)),flip(a)]. 12834 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(7105(a,1),12783(a,1,2)),flip(a)]. 12835 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [para(12834(a,2),4980(a,1))]. 12836 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(8111(a,1),12835(a,2,2))]. 12837 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K((x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))). [para(12836(a,1),12284(a,1,2)),flip(a)]. 12838 L(x,y,z) \ L(u * (T(x,u) / u),y,z) = a(u,u \ L(x,y,z),u). [para(4469(a,2),12802(a,1,2))]. 12839 K(x * T(y,z),x) = K(y * x,T(x,z)). [hyper(17,a,8047,a,b,12831,a),flip(a)]. 12840 1 / (x \ K(y * x,T(x,z))) = T(x,x * T(y,z)). [para(12839(a,1),4702(a,2,2,2)),flip(a)]. 12841 T(x,T(y * x,z)) = T(x,x * T(y,z)). [para(12840(a,1),6594(a,1)),flip(a)]. 12842 T(x,T(x * y,z)) = T(x,x * T(y,z)). [para(12841(a,1),4382(a,1)),flip(a)]. 12843 T(x / T(y,x),z) * T(y,T(y * (y \ x),z)) = y * T(y \ x,z). [para(12842(a,2),11503(a,1,2))]. 12844 T(x / T(y,x),z) * T(y,T(x,z)) = y * T(y \ x,z). [para(14(a,1),12843(a,1,2,2,1))]. 12845 x * K(T(x,y) / y,z) = y * T(y \ x,z). [para(12844(a,1),9187(a,1)),flip(a)]. 12846 K(T(x,y) / y,z) = K(y \ x,z). [hyper(17,a,5807,a(flip),b,12845,a)]. 12847 K(x / T(y,x),z) = K(y \ x,z). [para(3898(a,1),12846(a,1,1))]. 12848 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(12846(a,1),9584(a,2,2))]. 12849 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(12848(a,1),9667(a,1,1,2))]. 12850 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(13(a,1),12849(a,1,1))]. 12852 L(x,K(y \ x,z),x) = x. [para(12850(a,1),7533(a,1))]. 12853 L(x,K(y,z),x) = x. [para(61(a,1),12852(a,1,2,1))]. 12854 T(x * K(y,z),L(x,K(y,z),x)) = x \ (x * (K(y,z) * x)). [para(12853(a,1),335(a,1,1)),flip(a)]. 12857 T(K(x,y) * z,z) = z * K(x,y). [para(12853(a,1),9867(a,1)),flip(a)]. 12858 T(K(x,y) \ z,z) = z * K(y,x). [para(4906(a,2),12857(a,1,1))]. 12859 T(x * T(x \ y,z),y) = y * K((x / y) \ 1,z). [para(4839(a,1),12857(a,1,1))]. 12860 T(T(K(x,y) \ z,u),z) = T(z * K(y,x),u). [para(12858(a,1),38(a,1,1)),flip(a)]. 12861 T(x,T(K(y,z) \ y,y)) = T(x,T(y,z)). [para(12858(a,2),7693(a,1,2))]. 12862 T(x,T(K(L(y,z,u),w) \ L(y,z,u),L(y,z,u))) = T(x,L(T(y,w),z,u)). [para(40(a,2),12861(a,2,2))]. 12863 T(T(x,T(K(y,z) \ x,u)),x \ T(K(y,z) \ x,u)) = (x \ T(x * K(z,y),u)) \ T(K(y,z) \ x,u). [para(12860(a,1),6951(a,1,1,2)),flip(a)]. 12864 (x \ T(K(y,z) \ x,u)) * ((x \ T(x * K(z,y),u)) \ T(K(y,z) \ x,u)) = (x * T(K(y,z) \ x,u)) / x. [para(12860(a,1),10185(a,1,2,1,2))]. 12865 K((T(x,y) \ y) \ 1,z) = K((y / x) \ 1,z). [hyper(5682,a,12859,a)]. 12866 T(x * K(y,z),L(x,K(y,z),x)) = x \ (x * (K(z,y) \ x)). [para(4906(a,2),12854(a,2,2,2))]. 12867 T(x * K(y,z),L(x,K(y,z),x)) = K(z,y) \ x. [para(12866(a,2),13(a,1))]. 12868 T(x * K(y,z),x) = K(z,y) \ x. [para(12867(a,1),6498(a,1)),flip(a)]. 12869 (x * (K(y,z) \ x)) / x = x * K(z,y). [para(12868(a,1),145(a,1,1,2))]. 12870 (x * T(K(y,z) \ x,u)) / x = T(x * K(z,y),u). [para(12868(a,1),182(a,1,1,2,1))]. 12871 K(x,((y * z) \ z) \ 1) \ (y * z) = T(T(y,x) * z,y * z). [para(5284(a,1),12868(a,1,1)),flip(a)]. 12873 T(x,K(y,z) \ x) = K(y,z) * (x * K(z,y)). [para(12869(a,1),3557(a,1,2)),flip(a)]. 12874 T(x,K(y,z) \ x) = T(x,K(y,z)). [para(12873(a,2),7435(a,1))]. 12875 T(T(x,y) * z,x * z) = T(x,T(y,z)) * z. [para(12871(a,1),8256(a,1))]. 12876 K(T(x,y),T(z,x * z)) \ (T(x,T(y,z)) * z) = T(z * T(x,y),x * z). [para(12875(a,1),10939(a,1,2))]. 12877 T(x,T(L(y,z,u) * K(w,L(y,z,u)),L(y,z,u))) = T(x,L(T(y,w),z,u)). [para(4786(a,1),12862(a,1,2,1))]. 12878 K(T(x,y),T(z,x)) \ (T(x,T(y,z)) * z) = T(z * T(x,y),x * z). [para(6530(a,1),12876(a,1,1))]. 12879 K(x,T(T(y,x),z)) \ (T(x,T(z,y)) * y) = T(y * T(x,z),x * y). [para(6573(a,1),12878(a,1,1))]. 12880 K(x,T(y,z)) \ (T(x,T(z,y)) * y) = T(y * T(x,z),x * y). [para(4767(a,1),12879(a,1,1))]. 12881 T(x,T(L(y * K(z,y),u,w),L(y,u,w))) = T(x,L(T(y,z),u,w)). [para(5256(a,1),12877(a,1,2,1))]. 12882 T(x,L(T(y * K(z,y),L(y,u,w)),u,w)) = T(x,L(T(y,z),u,w)). [para(40(a,2),12881(a,1,2))]. 12883 T(x,L(y * K(z,y),u,w)) = T(x,L(T(y,z),u,w)). [para(4646(a,1),12882(a,1,2,1))]. 12884 T(x,L((y * z) / y,u,w)) = T(x,L(T(z,y),u,w)). [para(4572(a,2),12883(a,1,2,1))]. 12886 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(12590(a,1),12602(a,2,1))]. 12887 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [para(12886(a,2),12601(a,1))]. 12888 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(30(a,2),12887(a,2,2))]. 12889 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(12599(a,1),12888(a,1,2))]. 12890 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(12889(a,2),12305(a,1,1,2))]. 12891 R(a(x,y,x) * z,u,w) * v5 = a(x,y,x) * (R(z,u,w) * v5). [para(12889(a,2),12590(a,1,1))]. 12892 R(x * a(y,z,y),u,w) * v5 = a(y,z,y) * (R(x,u,w) * v5). [para(9479(a,1),12891(a,1,1,1))]. 12893 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(12892(a,1),9080(a,1))]. 12894 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [para(12893(a,1),9539(a,1)),flip(a)]. 12895 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(12894(a,2),3852(a,1,1))]. 12896 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [para(12895(a,1),10105(a,1)),flip(a)]. 12897 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(12590(a,1),12609(a,1,2,1))]. 12898 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(4730(a,1),12639(a,2,2))]. 12899 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(12898(a,1),8420(a,2))]. 12900 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(12590(a,1),12897(a,1,2))]. 12901 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [para(12900(a,1),345(a,1)),flip(a)]. 12902 a(a(x,y,x) * z,u,w) = a(z,u,w). [para(12901(a,1),12599(a,1))]. 12903 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(14(a,1),12902(a,1,1)),flip(a)]. 12904 a(K(x * y,x),z,u) = a(K(y,x),z,u). [para(8413(a,1),12902(a,1,1))]. 12905 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(8425(a,1),12902(a,1,1))]. 12906 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(8423(a,1),12902(a,1,1))]. 12907 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(8390(a,1),12903(a,1,1))]. 12908 a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u). [para(8415(a,1),12903(a,1,1))]. 12909 a(x / a(y,z,y),u,w) = a(x,u,w). [para(9481(a,2),12903(a,1,1))]. 12910 a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). [para(14(a,1),12905(a,1,1,1))]. 12911 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [para(12907(a,1),12741(a,2))]. 12912 a(K(x,y \ x),z,u) = a(K(y,x),z,u). [para(12910(a,2),12906(a,1))]. 12913 a(K(x \ y,y),z,u) = a(K(y,x),z,u). [para(5996(a,1),12912(a,1,1)),flip(a)]. 12914 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(12913(a,1),12908(a,2))]. 12915 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(2889(a,1),12914(a,1,1)),flip(a)]. 12916 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(10884(a,2),12914(a,2,1)),flip(a)]. 12917 a(K(x,y),x \ 1,z) = 1. [para(12915(a,1),5210(a,1))]. 12918 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [para(12915(a,1),12113(a,2))]. 12919 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(12661(a,1),12915(a,2,1))]. 12920 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [para(12911(a,1),5839(a,1)),flip(a)]. 12921 ((x * (y \ R(y,z,u))) / ((x * (y \ R(y,z,u))) / x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [para(12911(a,1),6125(a,1)),flip(a)]. 12922 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [para(12919(a,1),12185(a,2))]. 12923 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6372(a,1),12916(a,2,1))]. 12924 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [para(12923(a,2),12914(a,1))]. 12925 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(10884(a,1),12924(a,1,1))]. 12926 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [para(12661(a,1),12925(a,2,1))]. 12927 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(12918(a,1),12922(a,1,1)),flip(a)]. 12928 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [para(12927(a,2),12742(a,1))]. 12929 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [para(12928(a,1),12926(a,1)),flip(a)]. 12930 L(x,y,T(T(z,z \ u),T(z,z \ u) / u)) = L(x,y,(z \ u) \ T(u,u \ z)). [para(16(a,1),12807(a,1,3,1))]. 12932 L(x,y,T(T(z,z \ u),u \ T(z,z \ u))) = L(x,y,(z \ u) \ T(u,u \ z)). [para(3551(a,1),12930(a,1,3))]. 12933 L(x,y,T(T(z,z \ u),z / u)) = L(x,y,(z \ u) \ T(u,u \ z)). [para(8134(a,1),12932(a,1,3))]. 12934 L(x,y,T(T(z,z \ u),u \ z)) = L(x,y,(z \ u) \ T(u,u \ z)). [para(9143(a,1),12933(a,1,3))]. 12935 L(x,y,(z \ u) \ T(u,u \ z)) = L(x,y,T(T(z,u \ z),u)). [para(12934(a,1),12758(a,1))]. 12936 L(x,y,(z \ u) \ T(u,u \ z)) = L(x,y,z). [para(12935(a,2),12809(a,1))]. 12937 L(T((x / y) \ 1,x) \ 1,(x / y) \ 1,x) = (((y \ x) \ 1) * x) \ (y * (x / y)). [para(12936(a,1),12097(a,1))]. 12939 (((x \ y) \ 1) * y) \ (x * (y / x)) = (((y / x) \ 1) * y) \ y. [para(12937(a,1),5504(a,1))]. 12941 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(4878(a,1),12672(a,1,2)),flip(a)]. 12943 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [para(12941(a,2),4871(a,1))]. 12944 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [para(12943(a,2),4907(a,1))]. 12945 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(5428(a,1),12944(a,1,2))]. 12946 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(2133(a,1),12681(a,1,1)),flip(a)]. 12947 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(12946(a,2),8649(a,1))]. 12948 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(7351(a,1),12947(a,1,2,1,1))]. 12949 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(8556(a,1),12948(a,1,2,1))]. 12950 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(4609(a,2),12949(a,1,2))]. 12951 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [para(12950(a,1),9603(a,2))]. 12952 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(7379(a,1),12951(a,1,1))]. 12953 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [para(12952(a,1),11566(a,1)),flip(a)]. 12954 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [para(12953(a,1),12116(a,1))]. 12955 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(17,a,4597,a(flip),b,12954,a)]. 12956 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [para(12955(a,1),12667(a,2))]. 12957 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(12956(a,1),12130(a,1,2))]. 12958 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(67,a,12957,a),flip(a)]. 12959 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(7374(a,1),12958(a,1,1))]. 12960 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [para(12958(a,2),12955(a,2)),flip(a)]. 12961 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(12959(a,2),12955(a,2)),flip(a)]. 12962 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(12669(a,2),12960(a,2,1)),flip(a)]. 12963 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [para(12962(a,1),12961(a,2))]. 12964 (K(x,T(x,x * y) * y) \ z) \ T(T(T(x,x * y) * y,x),x) = (K(x,y) \ z) \ (y * x). [para(12752(a,1),5497(a,1))]. 12965 (K(x,x * y) \ z) \ T(T(T(x,x * y) * y,x),x) = (K(x,y) \ z) \ (y * x). [para(7099(a,1),12964(a,1,1,1))]. 12966 (K(x,x * y) \ z) \ T(x * y,x) = (K(x,y) \ z) \ (y * x). [para(3571(a,1),12965(a,1,2,1))]. 12968 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(6777(a,1),12821(a,1,2)),flip(a)]. 12969 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [para(12968(a,2),4859(a,1))]. 12970 L(x,y / z,x) = L(x,z \ y,x). [para(12969(a,1),10733(a,1))]. 12971 L(x,(y \ z) \ z,x) = L(x,y,x). [para(59(a,1),12970(a,1,2)),flip(a)]. 12972 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(3467(a,2),12970(a,1,2))]. 12973 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(4719(a,2),12970(a,1,2))]. 12975 L(x,y * K(z,y),x) = L(x,y,x). [para(5403(a,1),12971(a,1,2)),flip(a)]. 12977 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5259(a,1),12975(a,1,2))]. 12978 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [para(12973(a,1),12977(a,1))]. 12979 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [para(12978(a,1),12823(a,1))]. 12981 L(x,R(y,z,u),x) = L(x,y,x). [para(13(a,1),12979(a,2,2))]. 12983 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(24(a,2),12972(a,2,2))]. 12984 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [para(12983(a,1),12981(a,1)),flip(a)]. 12986 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(14(a,1),12890(a,1,1,2,1)),flip(a)]. 12987 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(12986(a,1),12920(a,1,1))]. 12988 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(13(a,1),12987(a,1,2))]. 12990 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [para(12988(a,1),4539(a,2)),flip(a)]. 12991 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(12990(a,1),12959(a,2,2))]. 12992 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [para(12991(a,1),12963(a,1))]. 12993 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [para(12992(a,1),8805(a,2))]. 12994 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(7378(a,2),12993(a,2,1))]. 12995 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [para(12994(a,1),8955(a,1)),flip(a)]. 12996 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [para(12995(a,1),9644(a,1)),flip(a)]. 12997 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(7395(a,1),12996(a,2,1))]. 12999 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(8560(a,1),12997(a,2,1))]. 13001 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [para(12999(a,1),8562(a,2))]. 13002 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [para(13001(a,1),10346(a,1)),flip(a)]. 13005 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,y \ L(L(x,z,u),w,v5)). [para(12702(a,2),6645(a,1))]. 13006 K(x,(1 / (y \ L(T(L(x,z,u),w),v5,v6))) \ K(w,L(L(x,z,u),v5,v6))) = K(x,y \ L(L(x,z,u),v5,v6)). [para(40(a,2),13005(a,1,2,1,2,2))]. 13007 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ L(L(x,u,w),v5,v6)). [para(40(a,2),13006(a,1,2,1,2,2,1))]. 13008 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ 1) = K(x,y \ L(L(x,u,w),v5,v6)). [para(13007(a,1),10291(a,1)),flip(a)]. 13009 K(x,y \ L(L(T(x,z),u,w),v5,v6)) = K(x,y \ L(L(x,u,w),v5,v6)). [para(61(a,1),13008(a,1,2))]. 13012 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(x,y,x),u,w)). [para(13009(a,1),11924(a,2))]. 13013 K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). [para(13012(a,1),11691(a,1))]. 13015 K(x,(y \ 1) \ L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(13013(a,1),11072(a,1,1))]. 13017 K(x,1 \ (y * L(x,z,u))) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(10790(a,1),13015(a,1,1))]. 13019 K(x,y * L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(50(a,1),13017(a,1,1,2))]. 13020 K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(4855(a,1),13019(a,1,2))]. 13021 L(x,y,z) * (K(x,u * L(x,y,z)) * K(u,x)) = L(L(x,u,x),y,z). [para(13020(a,1),12236(a,1)),flip(a)]. 13022 L(x,y,z) * (K(u,x) * K(x,u * L(x,y,z))) = L(L(x,u,x),y,z). [para(1720(a,1),13021(a,1,2))]. 13023 L(x,y,z) * (a(x,u,L(x,y,z)) \ 1) = L(L(x,u,x),y,z). [para(9742(a,1),13022(a,1,2))]. 13024 L(x,y,z) \ L(L(x,u,x),y,z) = a(x,u,L(x,y,z)) \ 1. [hyper(71,a,13023,a)]. 13025 x * a(L(y,z,u),w,L(y,z,u)) = (a(y,w,L(y,z,u)) \ 1) \ x. [para(13024(a,1),12295(a,1,1)),flip(a)]. 13026 a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,y,z)). [hyper(17,a,12040,a(flip),b,13025,a)]. 13027 a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). [para(13026(a,2),11174(a,1))]. 13029 L(a(x,y,x),z,u) = a(x,y,x). [para(13027(a,1),11358(a,1)),flip(a)]. 13030 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(13029(a,1),95(a,1,2))]. 13039 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(13029(a,1),12899(a,1,1))]. 13041 R(x,y,a(z,u,z)) = x. [hyper(361,a,13030,a)]. 13042 ((x * y) * (z * a(u,w,u))) / ((y * z) * a(u,w,u)) = R(R(x,y,z),y * z,a(u,w,u)). [para(13030(a,1),365(a,1,1))]. 13043 x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). [para(13041(a,1),390(a,1,1))]. 13045 R(x,y,T(a(z,u,z),w)) = x. [para(9485(a,2),13041(a,1,3))]. 13046 (x / T(a(y,z,y),u)) / w = x / (w * T(a(y,z,y),u)). [para(13045(a,1),200(a,1))]. 13047 ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) = L(u,z,a(x,y,x)). [para(13043(a,1),9487(a,1))]. 13048 x \ (y * (z * a(u,w,u))) = (x \ (y * z)) * a(u,w,u). [para(13030(a,1),13043(a,1,2))]. 13049 x / (y * T(a(z,u,z),w)) = (a(z,u,z) \ x) / y. [para(9504(a,1),13046(a,1,1)),flip(a)]. 13051 x / (y * T(a(z,u,z),w)) = a(z,u,z) \ (x / y). [para(13049(a,2),12614(a,1))]. 13052 x / (y * a(z,u,z)) = a(z,u,z) \ (x / y). [para(108(a,1),13051(a,1,2,2))]. 13053 a(x,y,x) \ (z / x) = z / R(x,y,x). [para(8394(a,1),13052(a,1,2)),flip(a)]. 13054 (x * y) \ (x * ((y * z) * a(u,w,u))) = L(z,y,x) * a(u,w,u). [para(28(a,2),13048(a,2,1))]. 13055 ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) = L(T(u,a(x,y,x)),a(x,y,x),z). [para(13048(a,1),9488(a,1))]. 13056 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [para(13039(a,2),12789(a,1))]. 13058 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(28(a,2),13056(a,2,2))]. 13059 a(x,L(y,z,u),x) = a(x,y,x). [para(13058(a,1),13029(a,1))]. 13060 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(193(a,1),13059(a,1,2))]. 13061 a(x,(y \ z) \ 1,x) = a(x,z \ y,x). [para(275(a,1),13059(a,1,2)),flip(a)]. 13062 a(x,(y \ z) \ u,x) = a(x,z \ (y * u),x). [para(343(a,1),13059(a,1,2)),flip(a)]. 13063 a(x,(y * z) \ (z * u),x) = a(x,T(y,z) \ u,x). [para(347(a,1),13059(a,1,2))]. 13064 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [para(1840(a,2),13059(a,1,2)),flip(a)]. 13065 R(x,L(y,z,u),x) = x * a(x,y,x). [para(13059(a,1),8394(a,1,2)),flip(a)]. 13066 L(x,L(y,z,u),x) = a(x,y,x) \ x. [para(13059(a,1),8572(a,1,1)),flip(a)]. 13068 R(x,L(y,z,u),x) = R(x,y,x). [para(13065(a,2),8394(a,1))]. 13069 R(x,(y * z) \ u,x) = R(x,z \ (y \ u),x). [para(193(a,1),13068(a,1,2))]. 13070 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(13068(a,1),12272(a,1,2,1))]. 13071 L(x,L(y,z,u),x) = L(x,y,x). [para(13066(a,2),8572(a,1))]. 13072 L(x,(y * z) \ (y * u),x) = L(x,z \ u,x). [para(97(a,1),13071(a,1,2))]. 13073 L(x,(y * z) \ u,x) = L(x,z \ (y \ u),x). [para(193(a,1),13071(a,1,2))]. 13074 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [para(1840(a,2),13071(a,1,2)),flip(a)]. 13075 a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). [para(13061(a,1),12817(a,1))]. 13076 a(x,y \ (z \ (u * y)),x) = a(x,z \ u,x). [para(13060(a,1),12811(a,1))]. 13077 K(x,L(y,z,u) \ y) \ a(x,a(u,z,y),x) = K(x * (L(y,z,u) \ y),x). [para(13064(a,1),8411(a,1,2))]. 13078 a(x,y \ (z \ u),x) = a(x,z \ (u / y),x). [para(16(a,1),13076(a,1,2,2,2))]. 13079 a(x,T(y,z) \ T(u,y),x) = a(x,T(y,z) \ u,x). [para(828(a,1),13076(a,1,2))]. 13080 K(x \ (y / z),u) \ K((x \ (y / z)) * u,u) = a(u,z \ (x \ y),u). [para(13078(a,2),9506(a,2))]. 13081 a(x,y \ (z \ (y * u)),x) = a(x,T(z,y) \ u,x). [para(13063(a,1),13060(a,1)),flip(a)]. 13082 a(x,T(y,z) \ T(y * u,y),x) = a(x,K(y,z) \ u,x). [para(4854(a,1),13079(a,2,2))]. 13083 a(x,T(y,z) \ (z \ u),x) = a(x,z \ (y \ u),x). [para(14(a,1),13081(a,1,2,2,2)),flip(a)]. 13084 (x * y) \ (x * (y * (z * a(u,w,u)))) = L(z,y,x) * a(u,w,u). [para(13030(a,1),13054(a,1,2,2))]. 13085 L(x * a(y,z,y),u,w) = L(x,u,w) * a(y,z,y). [para(13084(a,1),28(a,2))]. 13086 a(x,y,x) \ L(a(x,y,x) * z,u,w) = L(z,u,w). [hyper(4471,a,13085,a)]. 13087 L(a(x,y,x) * z,u,w) = a(x,y,x) * L(z,u,w). [para(13086(a,1),14(a,1,2)),flip(a)]. 13088 L(x,y,z) \ L(a(u,w,u) * x,y,z) = a(u,w,u). [para(13086(a,1),9499(a,1,1))]. 13089 x * L(a(x,y,x) * z,u,w) = R(x,y,x) * L(z,u,w). [para(13087(a,2),9554(a,1,2))]. 13090 L(a(x,y,x) \ z,a(x,y,x),L(R(x,y,x) / a(x,y,x),u,w)) = L(a(x,y,x) * x,u,w) \ (L(R(x,y,x) / a(x,y,x),u,w) * z). [para(13087(a,2),8408(a,2,1))]. 13091 L(K(x,y),z,u) \ L(K(x,x \ y),z,u) = a(x,x \ y,x). [para(8423(a,1),13088(a,1,2,1))]. 13092 L(x,y,z) \ L(u * (T(x,u) / u),y,z) = a(u,u \ x,u). [para(12801(a,1),13088(a,1,2,1))]. 13093 L(K(x,y / ((x \ z) * u)),w,v5) \ L(K(x,x \ (y / ((z / x) * u))),w,v5) = a(x,x \ (y / ((z / x) * u)),x). [para(8329(a,1),13091(a,1,1,1))]. 13094 a(x,x \ L(y,z,u),x) = a(x,x \ y,x). [para(13092(a,1),12838(a,1)),flip(a)]. 13095 a(x,x \ ((y * z) \ u),x) = a(x,x \ (z \ (y \ u)),x). [para(193(a,1),13094(a,1,2,2))]. 13096 a(x,x \ ((y \ z) \ u),x) = a(x,x \ (z \ (y * u)),x). [para(343(a,1),13094(a,1,2,2)),flip(a)]. 13098 L(T(x,a(y,z,y)),a(y,z,y),u) = L(x,u,a(y,z,y)). [para(13055(a,1),13047(a,1))]. 13099 L(x,a(y,z,y),u) = L(x,u,a(y,z,y)). [para(9482(a,1),13098(a,1,1))]. 13101 L(x,a(y,z,y),u) = x. [para(13099(a,2),12599(a,1))]. 13102 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [para(13101(a,1),95(a,1,2))]. 13103 x \ ((x / a(y,z,y)) * u) = a(y,z,y) \ u. [para(13101(a,1),344(a,1)),flip(a)]. 13106 (x * (a(y,z,y) * (u * w))) \ (((x * a(y,z,y)) * u) * w) = a(x * a(y,z,y),u,w). [para(13102(a,1),24(a,2,1)),flip(a)]. 13108 (x / a(y,z,y)) * u = x * (a(y,z,y) \ u). [para(13103(a,1),14(a,1,2)),flip(a)]. 13109 a(x,y,x) \ ((z / a(x,y,x)) \ u) = z \ u. [para(14(a,1),13103(a,1,2)),flip(a)]. 13110 ((x * y) * (a(z,u,z) \ w)) / ((y * (a(z,u,z) \ 1)) * w) = R(R(x,y,a(z,u,z) \ 1),y * (a(z,u,z) \ 1),w). [para(13108(a,1),9528(a,1,1))]. 13111 (x / a(y,z,y)) \ u = a(y,z,y) * (x \ u). [para(13109(a,1),14(a,1,2)),flip(a)]. 13112 (a(x,y,x) \ z) \ u = a(x,y,x) * (z \ u). [para(9481(a,1),13111(a,1,1))]. 13113 x \ (a(y,z,y) * u) = a(y,z,y) * (x \ u). [para(13112(a,1),12600(a,1)),flip(a)]. 13115 x * L(y \ (a(x,z,x) * u),w,v5) = R(x,z,x) * L(y \ u,w,v5). [para(13113(a,2),13089(a,1,2,1))]. 13116 R(x,y,x) * L(R(x,y,x) \ z,u,w) = x * L(x \ z,u,w). [para(9556(a,1),13115(a,1,2,1)),flip(a)]. 13117 R(x * L(x \ 1,y,z),u,x) = x * L(x \ 1,y,z). [para(13116(a,1),3293(a,1)),flip(a)]. 13118 T(x * y,x) * L(T(x * y,x) \ z,u,w) = y * (x * L(x \ (y \ z),u,w)). [para(13116(a,1),12240(a,1,2)),flip(a)]. 13119 R(T(x * L(x \ 1,y,z),u),w,x) = T(x * L(x \ 1,y,z),u). [para(13117(a,1),42(a,2,1))]. 13120 T(x * L(x \ 1,y,z),x * u) = T(x * L(x \ 1,y,z),u). [para(13119(a,1),11101(a,1))]. 13121 T((1 / x) * L((1 / x) \ 1,y,z),u) = T((1 / x) * L(x,y,z),(1 / x) * u). [para(61(a,1),13120(a,1,1,2,1)),flip(a)]. 13123 T((x * y) * L((x * y) \ x,z,u),x) = y * (x * L(x \ (y \ x),z,u)). [para(13118(a,1),1956(a,1)),flip(a)]. 13125 T(x * (y * L(y \ 1,z,u)),x) = y * (x * L(x \ (y \ x),z,u)). [para(620(a,1),13123(a,1,1))]. 13126 T(x * (y * L(y \ 1,z,u)),x) = (y * L(y \ 1,z,u)) * x. [para(13125(a,2),1448(a,1))]. 13127 T(x * ((1 / y) * L(y,z,u)),x) = ((1 / y) * L((1 / y) \ 1,z,u)) * x. [para(61(a,1),13126(a,1,1,2,2,1))]. 13128 (T(x,y) * (z * L(z \ 1,u,w))) \ (x * ((z * L(z \ 1,u,w)) * T(x,y))) = T(x,K(T(x,y) * (z * L(z \ 1,u,w)),y)). [para(13126(a,1),8277(a,1,2,2))]. 13129 T(x * (y \ L(y,z,u)),x) = ((1 / y) * L((1 / y) \ 1,z,u)) * x. [para(4499(a,1),13127(a,1,1,2))]. 13130 T(x * (y \ L(y,z,u)),x) = ((1 / y) * L(y,z,u)) * x. [para(61(a,1),13129(a,2,1,2,1))]. 13131 T(x * (y \ L(y,z,u)),x) = (y \ L(y,z,u)) * x. [para(4499(a,1),13130(a,2,1))]. 13132 x \ T((x / (y \ L(y,z,u))) * (y \ L(y,z,u)),x / (y \ L(y,z,u))) = K(y \ L(y,z,u),(y \ L(y,z,u)) \ x). [para(13131(a,2),4791(a,1,2))]. 13133 ((x \ L(x,y,z)) * u) \ L(u * (x \ L(x,y,z)),(u * (x \ L(x,y,z))) \ u,u * (x \ L(x,y,z))) = K((u * (x \ L(x,y,z))) \ u,u * (x \ L(x,y,z))). [para(13131(a,1),5027(a,1,1))]. 13134 T(x \ L(x,y,z),(1 / x) * u) = T((1 / x) * L((1 / x) \ 1,y,z),u). [para(4499(a,1),13121(a,2,1)),flip(a)]. 13135 T(x \ L(x,y,z),(x \ 1) * u) = T((1 / x) * L((1 / x) \ 1,y,z),u). [para(13134(a,1),4255(a,1)),flip(a)]. 13136 (x * (a(y,z,y) * (u * w))) \ ((x * (a(y,z,y) * u)) * w) = a(x * a(y,z,y),u,w). [para(13102(a,1),13106(a,1,2,1))]. 13137 a(x * a(y,z,y),u,w) = a(x,a(y,z,y) * u,w). [para(13136(a,1),12608(a,1))]. 13138 a(x / a(y,z,y),a(y,z,y) * u,w) = a(x,u,w). [para(16(a,1),13137(a,1,1)),flip(a)]. 13139 a(x,a(y,z,y) * u,w) = a(x,u,w). [para(13138(a,1),12909(a,1)),flip(a)]. 13140 a(x,a(y,z,y) \ u,w) = a(x,u,w). [para(14(a,1),13139(a,1,2)),flip(a)]. 13141 a(x,y * a(z,u,z),w) = a(x,y,w). [para(9479(a,1),13139(a,1,2))]. 13142 a(x,y * (T(z,y) / y),u) = a(x,z,u). [para(12801(a,1),13139(a,1,2))]. 13144 a(x,((y \ 1) * y) \ z,u) = a(x,z,u). [para(8407(a,1),13140(a,1,2,1))]. 13145 a(x,y \ (z * a(u,w,u)),v5) = a(x,y \ z,v5). [para(13043(a,2),13141(a,1,2))]. 13146 a(x,y * (((y \ T(z,y)) * T(y,u)) / y),w) = a(x,(y \ z) * T(y,u),w). [para(7314(a,1),13142(a,1,2,2,1))]. 13147 a(x,y \ ((z * (1 / z)) \ u),w) = a(x,y \ u,w). [para(5648(a,1),13144(a,1,2)),flip(a)]. 13148 a(x,y \ (T(z * u,z) / z),w) = a(x,y \ u,w). [para(8404(a,2),13145(a,1,2,2))]. 13149 a(x,y \ T(z * u,z),w) = a(x,y \ (u * z),w). [para(8424(a,1),13145(a,1,2,2))]. 13150 a(x,y \ (z * (T(u,z) / z)),w) = a(x,y \ u,w). [para(8451(a,1),13145(a,1,2,2))]. 13151 a(x,y \ (z * ((1 / z) * u)),w) = a(x,y \ L(u,1 / z,z),w). [para(28(a,2),13147(a,1,2,2)),flip(a)]. 13152 a(x,y \ (z \ T(y * u,y)),x) = a(x,z \ u,x). [para(13148(a,1),13078(a,2))]. 13153 a(x,y \ (z * ((1 / z) * u)),w) = a(x,y \ L(u,z \ 1,z),w). [para(2562(a,1),13151(a,2,2,2))]. 13154 a(x,y * ((y \ T(z,y)) * K(y,u)),w) = a(x,(y \ z) * T(y,u),w). [para(5776(a,1),13146(a,1,2,2))]. 13155 a(x,y * (y \ (T(z,y) * K(y,u))),w) = a(x,(y \ z) * T(y,u),w). [para(6439(a,2),13154(a,1,2,2))]. 13156 a(x,y * (y \ (y \ (z * T(y,u)))),w) = a(x,(y \ z) * T(y,u),w). [para(7020(a,2),13155(a,1,2,2,2))]. 13157 a(x,y \ (z * T(y,u)),w) = a(x,(y \ z) * T(y,u),w). [para(14(a,1),13156(a,1,2))]. 13159 ((x * y) * (z * a(u,w,u))) / (y * (z * a(u,w,u))) = R(R(x,y,z),y * z,a(u,w,u)). [para(13030(a,1),13042(a,1,2))]. 13160 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(13068(a,1),13070(a,1,2,2,1))]. 13162 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(3978(a,2),13160(a,1,2))]. 13164 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(3962(a,1),13162(a,1,2,2))]. 13165 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(12365(a,1),13164(a,1,2))]. 13166 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(556(a,1),13165(a,1,2)),flip(a)]. 13167 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [para(13166(a,1),9576(a,1)),flip(a)]. 13168 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [para(13167(a,1),4571(a,2,2)),flip(a)]. 13169 (L(x,y,z) * T(u,x)) \ L(u * L(x,y,z),(u * L(x,y,z)) \ (u * x),u * L(x,y,z)) = K((u * L(x,y,z)) \ (u * x),u * L(x,y,z)). [para(13167(a,1),5027(a,1,1))]. 13170 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [para(13168(a,1),8386(a,1))]. 13171 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [para(13170(a,2),11255(a,1))]. 13172 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(16(a,1),13171(a,1,1))]. 13173 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [para(13172(a,1),6405(a,1)),flip(a)]. 13174 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11161(a,1),13173(a,2,3))]. 13176 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [para(13174(a,2),11422(a,1))]. 13177 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [para(13176(a,1),10561(a,1)),flip(a)]. 13178 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(16(a,1),13177(a,1,2))]. 13179 K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). [para(13177(a,1),4912(a,1,2,1)),flip(a)]. 13180 ((x * (L(y,z,u) \ y)) / ((x * (L(y,z,u) \ y)) / x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [para(13177(a,1),6125(a,1)),flip(a)]. 13181 K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). [para(13179(a,2),9688(a,1))]. 13182 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [para(13181(a,1),11423(a,1,3)),flip(a)]. 13183 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(13182(a,1),9353(a,1,2))]. 13184 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [para(13182(a,1),11437(a,1)),flip(a)]. 13185 a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). [para(13184(a,1),11632(a,1,1))]. 13186 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [para(13178(a,1),5930(a,1)),flip(a)]. 13187 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(13186(a,1),10574(a,1)),flip(a)]. 13188 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11173(a,1),13187(a,2,3))]. 13189 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(61(a,1),13188(a,2,3,1))]. 13192 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(13189(a,1),4912(a,1,2,1)),flip(a)]. 13193 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [para(13192(a,2),9688(a,1))]. 13194 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(13193(a,1),4597(a,2,2))]. 13195 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(9366(a,1),13183(a,1,2)),flip(a)]. 13196 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(75,a,13195,a(flip)),flip(a)]. 13198 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(13196(a,1),4912(a,1,2,1)),flip(a)]. 13199 K(L(x,y,z) \ x,(L(x,y,z) \ x) \ (u * (L(x,y,z) \ (x * x)))) = K(a(z,y,x),u * x). [para(13196(a,1),10437(a,2))]. 13200 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [para(13198(a,2),4912(a,1))]. 13201 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(13200(a,1),4597(a,2,2))]. 13203 K(x,a(y,z,u)) \ a(x,a(y,z,u),x) = K(x * (L(u,z,y) \ u),x). [para(13200(a,1),13077(a,1,1))]. 13204 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [para(13201(a,2),4597(a,2)),flip(a)]. 13205 K(x * (L(y,z,u) \ y),x) = K(x * a(u,z,y),x). [para(13203(a,1),8411(a,1))]. 13206 R(R(x,y,z),y * z,a(u,w,u)) = R(x,y,z * a(u,w,u)). [para(13159(a,1),30(a,2)),flip(a)]. 13207 R(x,y,z * a(u,w,u)) = R(x,y,z). [para(13206(a,1),13041(a,1))]. 13208 R(x,y,z / a(u,w,u)) = R(x,y,z). [para(16(a,1),13207(a,1,3)),flip(a)]. 13209 R(x,y,a(z,u,z) \ 1) = x. [para(13207(a,1),4235(a,1))]. 13211 R(x,y,a(z,u,z) \ w) = R(x,y,w). [para(9481(a,1),13208(a,1,3))]. 13212 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(9367(a,1),13185(a,1,1))]. 13213 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(67,a,13212,a)]. 13215 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [para(13213(a,1),6152(a,1)),flip(a)]. 13216 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(13215(a,1),4597(a,2,2)),flip(a)]. 13218 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [para(13216(a,1),4597(a,2)),flip(a)]. 13219 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(13218(a,2),500(a,1,1))]. 13220 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [para(13219(a,2),13194(a,1))]. 13221 a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). [para(13075(a,1),13060(a,1)),flip(a)]. 13222 a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). [para(28(a,2),13221(a,1,2,2))]. 13223 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(4487(a,1),13222(a,1,2))]. 13224 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(13223(a,1),10758(a,1)),flip(a)]. 13226 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [para(12526(a,1),13224(a,2,2)),flip(a)]. 13227 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(131(a,1),13226(a,1,2,2))]. 13228 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(13227(a,1),9870(a,1,1,2))]. 13229 L(K(x,y / ((x \ z) * u)),w,v5) \ L(K(x,x \ (y / ((x \ z) * u))),w,v5) = a(x,x \ (y / ((z / x) * u)),x). [para(11331(a,1),13093(a,1,2,1))]. 13230 (x * K(L(y,z,u) \ y,x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [para(4523(a,1),13180(a,1,1))]. 13231 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [para(13(a,1),13230(a,1,2,2))]. 13233 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(13074(a,1),13231(a,1,2))]. 13234 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [para(13233(a,1),5140(a,1)),flip(a)]. 13235 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [para(13234(a,1),6673(a,1)),flip(a)]. 13236 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(13204(a,1),13235(a,1,2,1))]. 13237 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [para(13236(a,1),4602(a,1)),flip(a)]. 13238 a(x,x \ (y / ((z / x) * u)),x) = a(x,x \ (y / ((x \ z) * u)),x). [para(13229(a,1),13091(a,1))]. 13239 R(R(x,y,a(z,u,z) \ 1),y * (a(z,u,z) \ 1),w) = ((x * y) * (a(z,u,z) \ w)) / ((y / a(z,u,z)) * w). [para(9525(a,1),13110(a,1,2,1)),flip(a)]. 13240 R(R(x,y,a(z,u,z) \ 1),y * (a(z,u,z) \ 1),w) = ((x * y) * (a(z,u,z) \ w)) / (y * (a(z,u,z) \ w)). [para(13108(a,1),13239(a,2,2))]. 13241 R(R(x,y,a(z,u,z) \ 1),y * (a(z,u,z) \ 1),w) = R(x,y,a(z,u,z) \ w). [para(13240(a,2),30(a,2)),flip(a)]. 13242 R(x,y * (a(z,u,z) \ 1),w) = R(x,y,a(z,u,z) \ w). [para(13209(a,1),13241(a,1,1))]. 13243 R(x,y / a(z,u,z),w) = R(x,y,a(z,u,z) \ w). [para(9525(a,1),13242(a,1,2))]. 13244 R(x,y * a(z,u,z),a(z,u,z) \ w) = R(x,y,w). [para(15(a,1),13243(a,1,2)),flip(a)]. 13245 R(x,y * a(z,u,z),w) = R(x,y,w). [para(13244(a,1),13211(a,1)),flip(a)]. 13246 R(x,a(y,z,y) * u,w) = R(x,u,w). [para(9479(a,2),13245(a,1,2))]. 13248 R(x,a(y,z,y) \ u,w) = R(x,u,w). [para(14(a,1),13246(a,1,2)),flip(a)]. 13249 R(x,((y \ 1) * y) \ z,u) = R(x,z,u). [para(8407(a,1),13248(a,1,2,1))]. 13250 R(x,((y \ 1) * y) \ (((z \ 1) \ 1) \ u),w) = R(x,z \ u,w). [para(13249(a,2),10360(a,1))]. 13251 R(x,((y \ 1) \ ((z \ 1) * z)) \ u,w) = R(x,y \ u,w). [para(5661(a,1),13250(a,1,2))]. 13252 R(x,(y / ((z \ 1) \ 1)) \ u,w) = R(x,(y / z) \ u,w). [para(13251(a,1),11830(a,1)),flip(a)]. 13254 (x * K(y \ R(y,z,u),x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [para(4523(a,1),12921(a,1,1))]. 13255 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [para(13(a,1),13254(a,1,2,2))]. 13257 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(12984(a,1),13255(a,1,2))]. 13258 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(13257(a,1),5140(a,1)),flip(a)]. 13259 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(12990(a,2),13258(a,1,1))]. 13260 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [para(13259(a,1),9518(a,1)),flip(a)]. 13261 K(x \ L(x,y,z),(x \ L(x,y,z)) \ u) = u \ T(u,u / (x \ L(x,y,z))). [para(16(a,1),13132(a,1,2,1)),flip(a)]. 13262 K(x \ L(x,y,z),(x \ L(x,y,z)) \ u) = u \ T(u,(x \ L(x,y,z)) \ u). [para(3551(a,1),13261(a,2,2))]. 13263 K(x \ L(x,y,z),(x \ L(x,y,z)) \ u) = u \ T(u,L(x,y,z) \ (x * u)). [para(6119(a,1),13262(a,2,2))]. 13264 a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(10195(a,1),12799(a,1,1))]. 13266 a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(12533(a,1),13264(a,1,1))]. 13267 a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). [para(13(a,1),13266(a,1,1,1))]. 13268 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). [para(13(a,1),13267(a,1,1,3)),flip(a)]. 13269 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(5973(a,1),13268(a,2,2))]. 13270 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(13(a,1),13269(a,2,2,2))]. 13271 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(4748(a,1),13270(a,2,2))]. 13272 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [para(13271(a,2),8413(a,1))]. 13273 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [para(13272(a,1),5973(a,1)),flip(a)]. 13274 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(13(a,1),13273(a,1,2))]. 13275 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [para(13274(a,1),5043(a,1)),flip(a)]. 13276 K(((x * y) \ x) \ z,y) = K(y * z,y). [para(13275(a,1),9245(a,1)),flip(a)]. 13277 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(14(a,1),13276(a,2,1))]. 13279 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [para(13277(a,1),11123(a,1))]. 13280 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [para(13279(a,1),5046(a,1)),flip(a)]. 13282 K(x * ((y * z) \ y),z) = K(z \ x,z). [para(13280(a,1),6319(a,1)),flip(a)]. 13283 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(14(a,1),13282(a,1,1,2,1)),flip(a)]. 13284 K(x * ((y * z) \ z),y) = K(y \ x,y). [para(13282(a,1),7230(a,2))]. 13286 T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(13284(a,1),12461(a,1,1,1,2))]. 13288 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [para(13283(a,2),8930(a,2)),flip(a)]. 13289 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(13288(a,1),209(a,1,2))]. 13290 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [para(13289(a,1),8939(a,2))]. 13291 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(209(a,1),13286(a,1,1,1))]. 13293 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(7284(a,1),13291(a,1,1))]. 13294 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(108(a,1),13293(a,1,2,2,2))]. 13295 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(8800(a,1),13294(a,1,2))]. 13296 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(2693(a,1),13295(a,1,2))]. 13297 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [para(13296(a,1),10924(a,1)),flip(a)]. 13298 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [para(13297(a,1),8819(a,1)),flip(a)]. 13299 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(137(a,1),13298(a,1,2)),flip(a)]. 13301 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [para(13299(a,1),10688(a,2))]. 13302 K(x,y * (z / (x * z))) = K(x,x \ y). [para(13301(a,1),10682(a,1)),flip(a)]. 13304 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [para(13302(a,1),10327(a,1))]. 13306 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(13304(a,1),4792(a,1,2))]. 13307 K(x \ y,(x \ y) \ z) = K(x \ y,z * (y \ x)). [para(13304(a,2),8928(a,1))]. 13308 K(x \ y,y \ (x * z)) = K(x \ y,z * (y \ x)). [para(13307(a,1),10442(a,1)),flip(a)]. 13309 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [para(13306(a,1),8938(a,2))]. 13310 L(a(x,y,x) \ z,a(x,y,x),L(R(x,y,x) / a(x,y,x),u,w)) = L(R(x,y,x),u,w) \ (L(R(x,y,x) / a(x,y,x),u,w) * z). [para(8397(a,1),13090(a,2,1,1))]. 13311 L(a(x,y,x) \ z,a(x,y,x),L(R(x,y,x) / a(x,y,x),u,w)) = L(R(x,y,x),u,w) \ (L(a(x,y,x) \ R(x,y,x),u,w) * z). [para(9481(a,1),13310(a,2,2,1,1))]. 13312 L(a(x,y,x) \ z,a(x,y,x),L(R(x,y,x) / a(x,y,x),u,w)) = L(R(x,y,x),u,w) \ (L(x,u,w) * z). [para(8406(a,1),13311(a,2,2,1,1))]. 13313 L(R(x,y,x),z,u) \ (L(x,z,u) * w) = a(x,y,x) \ w. [para(13312(a,1),13101(a,1))]. 13314 (L(x,y,z) * T(u,x)) \ L(u * L(x,y,z),L(x,y,z) \ x,u * L(x,y,z)) = K((u * L(x,y,z)) \ (u * x),u * L(x,y,z)). [para(13072(a,1),13169(a,1,2))]. 13316 ((x \ L(x,y,z)) * u) \ L(u * (x \ L(x,y,z)),(x \ L(x,y,z)) \ (u \ u),u * (x \ L(x,y,z))) = K((u * (x \ L(x,y,z))) \ u,u * (x \ L(x,y,z))). [para(13073(a,1),13133(a,1,2))]. 13317 ((x \ L(x,y,z)) * u) \ L(u * (x \ L(x,y,z)),(x \ L(x,y,z)) \ 1,u * (x \ L(x,y,z))) = K((u * (x \ L(x,y,z))) \ u,u * (x \ L(x,y,z))). [para(51(a,1),13316(a,1,2,2,2))]. 13319 ((x \ L(x,y,z)) * u) \ L(u * (x \ L(x,y,z)),L(x,y,z) \ x,u * (x \ L(x,y,z))) = K((u * (x \ L(x,y,z))) \ u,u * (x \ L(x,y,z))). [para(10590(a,1),13317(a,1,2))]. 13320 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(1645(a,1),13228(a,2,1))]. 13321 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [para(13320(a,2),13041(a,1))]. 13322 ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [para(9529(a,1),13321(a,1,1))]. 13323 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [para(13322(a,1),10107(a,1)),flip(a)]. 13324 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [para(13323(a,1),13220(a,1))]. 13325 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(13324(a,2),11778(a,1,1))]. 13326 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [para(13325(a,1),38(a,1)),flip(a)]. 13327 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(4289(a,1),13326(a,1,1))]. 13328 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(11739(a,1),13327(a,1,2,1))]. 13329 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [para(13328(a,1),13326(a,1))]. 13330 (L(x,y,z) \ x) * ((L(x,y,z) \ 1) / ((L(x,y,z) \ 1) * ((L(x,y,z) \ x) / (L(x,y,z) \ 1)))) = T(L(x,y,z) \ x,x \ 1) / x. [para(1066(a,1),10873(a,2,2))]. 13331 (L(x,y,z) \ x) * ((L(x,y,z) \ 1) / ((L(x,y,z) \ 1) * x)) = T(L(x,y,z) \ x,x \ 1) / x. [para(1066(a,1),13330(a,1,2,2,2))]. 13332 (L(x,y,z) \ 1) / ((L(x,y,z) \ 1) * x) = 1 / x. [hyper(17,a,5744,a(flip),b,13331,a)]. 13334 R(L(x,y,z) \ T(x,L(x,y,z) \ 1),x \ 1,((L(x,y,z) \ x) \ (L(x,y,z) \ 1)) \ 1) = (((L(x,y,z) \ x) \ (L(x,y,z) \ 1)) \ 1) * (L(x,y,z) \ 1). [para(711(a,1),10872(a,1,1))]. 13335 R(L(x,y,z) \ T(x,L(x,y,z) \ 1),x \ 1,(x \ 1) \ 1) = (((L(x,y,z) \ x) \ (L(x,y,z) \ 1)) \ 1) * (L(x,y,z) \ 1). [para(10869(a,1),13334(a,1,3,1))]. 13336 R(L(x,y,z) \ T(x,L(x,y,z) \ 1),x \ 1,x) = (((L(x,y,z) \ x) \ (L(x,y,z) \ 1)) \ 1) * (L(x,y,z) \ 1). [para(13335(a,1),4242(a,1)),flip(a)]. 13338 (((L(x,y,z) \ x) \ (L(x,y,z) \ 1)) \ 1) * (L(x,y,z) \ 1) = x * ((L(x,y,z) \ x) * (1 / x)). [para(13336(a,1),3605(a,1))]. 13339 (L(x,y,z) \ x) * (1 / x) = x * (L(x,y,z) \ (1 / x)). [hyper(12148,a,13338,a),flip(a)]. 13340 T(L(x,y,z) \ x,x \ 1) / x = x * (L(x,y,z) \ (1 / x)). [para(13339(a,1),5744(a,2))]. 13342 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * ((x * (1 / (1 / L(y,z,u)))) / x)). [para(4220(a,1),11198(a,1,2,1)),flip(a)]. 13343 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * (1 / (1 / ((x * L(y,z,u)) / x)))). [para(2276(a,1),13342(a,2,2,2))]. 13345 (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4493(a,1),9717(a,1,2,1,2,2,2))]. 13346 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4248(a,1),13345(a,1,2,1,2,2))]. 13347 (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7374(a,1),13346(a,1,2,1))]. 13348 (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8078(a,1),13347(a,1,2,1,2))]. 13349 (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(6730(a,1),13348(a,1,2,1,2))]. 13351 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7729(a,1),13349(a,1,2,1))]. 13352 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4493(a,1),13351(a,1,2,2,1,2,1,2,2))]. 13353 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4248(a,1),13352(a,1,2,2,1,2,1,2))]. 13354 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7351(a,1),13353(a,1,2,2,1,2))]. 13355 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9724(a,1),13354(a,1,2,2,1,2,2))]. 13356 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(6589(a,1),13355(a,1,2,2,1,2,2))]. 13358 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7720(a,1),13356(a,1,2,2,1,2))]. 13359 (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4666(a,1),13358(a,1,2,2,1))]. 13360 (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(8974(a,2),13359(a,1,2))]. 13361 K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(13360(a,1),8941(a,1)),flip(a)]. 13362 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(1126(a,1),13361(a,1,2)),flip(a)]. 13363 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [para(13362(a,2),7422(a,1))]. 13364 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(899(a,1),13363(a,1,1)),flip(a)]. 13365 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(13364(a,1),12068(a,2))]. 13366 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(899(a,1),13365(a,1,1))]. 13367 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). [para(13366(a,1),12199(a,1,2))]. 13368 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [para(13367(a,1),12199(a,1))]. 13369 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [para(13368(a,2),7378(a,2)),flip(a)]. 13370 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [para(13369(a,1),12018(a,1)),flip(a)]. 13371 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [para(13370(a,2),7374(a,1))]. 13372 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [para(13371(a,1),12019(a,2))]. 13373 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [para(13372(a,1),12462(a,2))]. 13374 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [para(13373(a,2),11790(a,1))]. 13375 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [para(13374(a,1),7427(a,1)),flip(a)]. 13376 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [para(13375(a,1),7425(a,2))]. 13377 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). [para(13376(a,1),12307(a,2))]. 13378 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [para(13377(a,1),8730(a,1)),flip(a)]. 13379 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [para(13378(a,1),13002(a,1)),flip(a)]. 13380 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(8695(a,1),13379(a,1,1)),flip(a)]. 13381 K(x,K(y * z,a(y,z,u))) = 1. [para(13380(a,2),11991(a,1))]. 13383 K(x,K(a(y,z,u),y * (z * u))) = 1. [para(13381(a,1),13375(a,2))]. 13384 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. [para(13383(a,1),9312(a,1,2)),flip(a)]. 13386 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(75,a,13384,a(flip)),flip(a)]. 13388 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(13386(a,1),8790(a,2))]. 13389 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(12990(a,2),13388(a,1,1))]. 13390 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [para(13389(a,1),12927(a,2))]. 13391 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [para(13390(a,1),12929(a,1)),flip(a)]. 13393 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(13391(a,1),13260(a,1,2))]. 13394 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u). [para(13393(a,1),9521(a,1)),flip(a)]. 13395 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [para(13394(a,1),4602(a,1)),flip(a)]. 13396 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [para(13395(a,2),12669(a,1))]. 13397 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [para(13395(a,2),13391(a,1))]. 13398 a(K(x,y),z,u) = a(y,z,K(x,u)). [para(13396(a,1),13237(a,1))]. 13399 x * a(K(y,z),u,w) = x * a(z,u,K(y,w)). [hyper(21,a,13398,a)]. 13400 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(13398(a,1),12127(a,1,1,2))]. 13401 a(K(x,y),z,u) = a(x,z,K(u,y)). [para(13400(a,1),9357(a,1))]. 13402 (K(x,y) * (z * u)) * a(x,z,K(u,y)) = (K(x,y) * z) * u. [para(13401(a,1),83(a,1,2))]. 13403 ((K(x,y) * z) * u) / a(x,z,K(u,y)) = K(x,y) * (z * u). [para(13401(a,1),122(a,1,2))]. 13404 (x * K(y,z)) * a(y,u,K(u \ x,T(z,x))) = (K(y,T(z,x)) * u) * (u \ x). [para(13401(a,1),7540(a,1,2))]. 13405 a(x,x \ 1,K(y,z)) = 1. [para(13401(a,1),12917(a,1))]. 13406 a(x,y,K(z,u)) = a(u,y,K(x,z)). [para(13401(a,1),13398(a,1))]. 13407 L(K(x,y),z \ 1,z) = K(x,y). [hyper(33,a,13405,a)]. 13408 a(x \ 1,x,K(y,z)) = 1. [para(13405(a,1),10757(a,1)),flip(a)]. 13409 L(K(x,y),z,z \ 1) = K(x,y). [hyper(33,a,13408,a)]. 13411 (x \ 1) * K(y,z) = x \ K(y,z). [para(13407(a,1),398(a,1,2)),flip(a)]. 13412 L(K(x,y),1 / z,z) = K(x,y). [para(13407(a,1),2562(a,2))]. 13413 K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). [para(13407(a,1),6106(a,1)),flip(a)]. 13414 K((x \ 1) \ y,z) = K(x * y,z). [para(13407(a,1),11252(a,1))]. 13415 (1 / x) * (x * K(y,z)) = K(y,z). [para(13409(a,1),2501(a,2))]. 13416 (1 / x) \ K(y,z) = x * K(y,z). [para(13409(a,1),2506(a,1,2))]. 13417 K(x,L(y,z,z \ 1)) = K(x,y). [para(13409(a,1),11214(a,1)),flip(a)]. 13418 K(x,y * (z \ 1)) = K(x,y / z). [para(13409(a,1),12678(a,1)),flip(a)]. 13420 K(x,(y \ 1) \ z) = K(x,y * z). [para(2503(a,1),13417(a,1,2)),flip(a)]. 13424 a(x,y,K(z,K(u,w))) = a(w,y,K(x,K(z,u))). [para(7351(a,1),13406(a,1,3))]. 13425 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). [para(7373(a,1),13406(a,1,3))]. 13426 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(z,w))). [para(7377(a,1),13406(a,1,3))]. 13427 a(x,y,K(z,K(u,w))) = a(z,y,K(x,K(u,w))). [para(7396(a,1),13406(a,1,3))]. 13428 K(x,y) * L(K(y,x),z,u) = a(y,z,K(u,x)). [para(13406(a,1),9333(a,2))]. 13429 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). [para(13406(a,2),9336(a,1,2))]. 13430 L(K(x,y),z,u) * K(y,x) = a(y,z,K(x,u)). [para(13406(a,2),9338(a,2))]. 13431 ((x * y) / x) * L(K(y,x),z,u) = y * a(y,z,K(u,x)). [para(13406(a,1),9340(a,2,2))]. 13432 K(x,y) * (L(K(y,x),z,u) * w) = a(y,z,K(u,x)) * w. [para(13406(a,1),9681(a,2,1))]. 13433 a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. [para(13406(a,2),9686(a,1,1))]. 13434 a(x,y,K(y * x,z)) = 1. [para(13406(a,2),11265(a,1))]. 13435 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(13406(a,1),13324(a,2,2))]. 13436 a(K(x,y),z,u) = a(u,z,K(y,x)). [para(13406(a,1),13398(a,2))]. 13437 x * a(K(y,z),u,w) = x * a(w,u,K(z,y)). [para(13406(a,1),13399(a,2,2))]. 13438 L(K(x * y,z),x,y) = K(x * y,z). [hyper(33,a,13434,a)]. 13440 x \ ((1 / x) \ K(y,z)) = K(y,z). [hyper(228,a,13411,a)]. 13451 ((x \ y) \ K(z,y \ x)) / ((x \ y) \ 1) = K(z,y \ x). [para(13411(a,1),7529(a,1,1))]. 13453 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [para(13414(a,1),2073(a,1,2))]. 13455 K((x \ 1) * y,z) = K(x \ y,z). [para(13414(a,1),5045(a,1))]. 13461 (x \ y) * K(y,z) = x \ T(y,z). [hyper(17,a,11864,a,b,13415,a)]. 13462 (1 / x) \ K(y,z) != x * u | K(y,z) = u. [para(13415(a,1),70(a,1,2)),flip(b)]. 13463 K(x,(y \ 1) * z) = K(x,y \ z). [hyper(11476,a,13416,a),flip(a)]. 13466 (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. [para(13416(a,2),6826(a,1))]. 13467 (T(x,y) / z) \ x = z * K(y,x). [para(13416(a,1),12698(a,2))]. 13469 1 / (x * K(y,z)) = K(z,y) / x. [para(13416(a,1),12701(a,1,2))]. 13470 (K(x,y) / z) \ 1 = z * K(y,x). [para(13416(a,1),12704(a,2))]. 13472 K(x,y / (z \ 1)) = K(x,y * z). [para(13418(a,1),5073(a,1))]. 13473 T(x,y * (1 / z)) = x * K(x,y / z). [para(13418(a,1),4674(a,1,2)),flip(a)]. 13477 K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). [para(13420(a,1),6315(a,1)),flip(a)]. 13479 (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). [para(13420(a,1),13416(a,1,2))]. 13480 L(K(x,y),z,u) \ K(x,y) = a(K(y,x),z,u). [para(13436(a,2),9341(a,2))]. 13482 x \ ((1 / x) \ K(y,z * u)) = K(y,(z \ 1) \ u). [para(13440(a,2),13420(a,2)),flip(a)]. 13489 (x / y) \ T(x,z) = y * K(x,z). [para(61(a,1),13461(a,1,1)),flip(a)]. 13491 (x \ (y * (z / y))) * K(y * (z / y),u) = x \ (y * (T(z,u) / y)). [para(4343(a,1),13461(a,2,2))]. 13498 T(x,L(T(T(y * z,z) / y,y * K(z,y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(13467(a,1),9255(a,1,2,1,2))]. 13503 K(x,y) / (z / T(y,x)) = 1 / (z / y). [para(5791(a,1),13469(a,1,2)),flip(a)]. 13504 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(13469(a,1),6149(a,1,2,1,2,2))]. 13505 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [para(13470(a,2),4873(a,2)),flip(a)]. 13506 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [para(6792(a,1),13470(a,1,1))]. 13508 K(x,((y \ 1) / z) \ 1) = K(x,z * y). [para(13472(a,1),5109(a,2))]. 13512 K(x * y,L(z,x,y)) = K(x * y,z). [para(13438(a,1),11214(a,1)),flip(a)]. 13513 T(x,y * (1 / z)) = T(x,y / z). [para(13473(a,2),4597(a,2)),flip(a)]. 13514 T(x,(y / (1 / z)) / z) = T(x,y). [para(16(a,1),13513(a,1,2)),flip(a)]. 13516 T(x,y / (1 / z)) = T(x,y * z). [para(13513(a,1),4249(a,1))]. 13517 K(x * (1 / y),z) = z / T(z,x / y). [para(13513(a,1),4561(a,2,2))]. 13518 T(x,T(y \ z,y)) = T(x,z * (1 / y)). [para(13513(a,2),7690(a,2))]. 13519 (T(x,y) / (1 / y)) * (1 / y) = (x / (1 / y)) * (1 / T(y,x)). [para(13514(a,1),12470(a,1,2,2)),flip(a)]. 13522 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(4559(a,2),13503(a,1,2))]. 13523 T(x / y,K(z,y * (x / y)) \ y) = ((x / y) \ T(x,z)) \ T(x,z). [para(13508(a,1),5613(a,1,2,1))]. 13524 K(x * (1 / y),z) = K(x / y,z). [para(13517(a,2),4561(a,2)),flip(a)]. 13525 K(x / (1 / y),z) = K(x * y,z). [para(13524(a,1),5042(a,1))]. 13526 K(x * (y \ 1),z) = K(x / y,z). [para(13524(a,1),5043(a,1)),flip(a)]. 13527 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(13525(a,1),10378(a,2,2))]. 13528 K(x * (y \ 1),T(y,z)) = K(y \ x,T(y,z)). [para(13526(a,2),6646(a,1))]. 13529 T(1 / x,y * (1 / x)) = T(1 / x,x \ y). [para(13518(a,1),7822(a,1))]. 13530 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(13522(a,1),6936(a,1,1,1))]. 13532 a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). [para(7374(a,1),13424(a,2,3))]. 13533 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(7378(a,1),13425(a,2,3))]. 13534 a(x,y,K(z,K(u,x * w))) = a(z,y,K(u,K(x,w))). [para(7426(a,1),13426(a,1,3)),flip(a)]. 13535 a(1 / x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(7730(a,1),13426(a,2,3))]. 13536 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)). [para(13427(a,1),13429(a,1,2))]. 13537 a(x,y,K(z,u)) * K(z,x) = L(K(z,x),y,u). [hyper(6806,a,13430,a)]. 13538 x \ (y * (a(z,u,K(w,v5)) * T(a(v5,u,K(w,z)) * (y \ x),v6))) = K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6). [para(13433(a,1),5293(a,1,2,2,2,1))]. 13539 x * a(K(y,z),u,w) != v5 * a(w,u,K(z,y)) | x = v5. [para(13437(a,1),20(a,2))]. 13540 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). [para(13466(a,1),6888(a,2,1))]. 13541 a(K(x,y),z,u) \ T(y,x) = T(y,L(x,z,u)). [para(13480(a,1),11239(a,1,1))]. 13542 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [para(13506(a,2),5382(a,1))]. 13543 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * ((1 / (x \ y)) \ 1),T(1 / (x \ y),x)). [para(7834(a,1),13528(a,1,2)),flip(a)]. 13544 T(1 / x,y * (x \ 1)) = T(1 / x,x \ y). [para(13529(a,1),4250(a,1)),flip(a)]. 13545 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [para(13533(a,1),11327(a,2))]. 13546 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [para(13406(a,2),13537(a,1,1))]. 13547 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [para(13542(a,1),6301(a,2,1))]. 13548 T(1 / x,(x \ 1) * y) = T(1 / x,x \ y). [para(13544(a,1),12385(a,2))]. 13549 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(13546(a,1),20(a,1))]. 13550 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [para(13546(a,2),8086(a,1))]. 13551 T(1 / x,x \ y) * L(T(1 / x,(x \ 1) * y) \ 1,z,u) = T((1 / x) * L((1 / x) \ 1,z,u),(x \ 1) * y). [para(13548(a,1),1885(a,1,1))]. 13552 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [para(13477(a,1),6307(a,2))]. 13553 x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). [para(14(a,1),13479(a,1,2,2)),flip(a)]. 13555 K(x,((y / z) \ 1) \ z) = u \ ((1 / u) \ K(x,y)). [para(16(a,1),13482(a,1,2,2,2)),flip(a)]. 13556 (x \ 1) \ (x \ K(y,z * u)) = K(y,(z \ 1) \ u). [para(59(a,1),13482(a,1,2,1))]. 13557 K(T(T(x * y,z),u) \ w,(x \ 1) \ y) = v5 \ ((1 / v5) \ K((x * y) \ w,x * y)). [para(8037(a,1),13482(a,1,2,2)),flip(a)]. 13558 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(13530(a,1),6299(a,1,3,2))]. 13559 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). [para(13552(a,1),12837(a,2))]. 13560 (1 / x) \ K(y,T(z * u,w)) = x * K(y,T((z \ 1) \ u,w)). [para(688(a,1),13553(a,1,2,2)),flip(a)]. 13563 K(x,(y \ 1) \ (z / y)) = (u \ 1) \ (u \ K(x,T(z,y))). [para(12382(a,1),13556(a,1,2,2)),flip(a)]. 13564 T(K(x,y),z) * L(K(K(x,y),z),u,w) = K(x,y) * a(K(x,y),u,K(w,z)). [para(7447(a,1),13431(a,1,1))]. 13566 K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). [para(13536(a,2),11214(a,1))]. 13567 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),y * z,K(u,w)). [para(13566(a,2),8456(a,2)),flip(a)]. 13568 (K(x,y) * (z * K(u,w))) * a(x,z,K(u,K(w,y))) = (K(x,y) * z) * K(u,w). [para(7351(a,1),13402(a,1,2,3))]. 13569 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = K(x,y) * (z * u). [para(13403(a,1),9356(a,1)),flip(a)]. 13570 (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11515(a,2),13453(a,1,2,1))]. 13571 (x / (1 / y)) * (1 / T(y,x)) = T(x,y). [para(13519(a,1),16(a,1))]. 13573 T(x,y) / (1 / T(y,x)) = x / (1 / y). [hyper(78,a,13571,a)]. 13574 T(x,y / x) / (1 / (x \ y)) = x / (1 / (y / x)). [para(111(a,1),13573(a,1,2,2))]. 13575 (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). [para(13574(a,1),3885(a,1,2)),flip(a)]. 13576 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(13575(a,2),2383(a,1,1))]. 13577 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(7395(a,1),13545(a,1,2))]. 13578 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). [para(96(a,2),13550(a,2,2,2)),flip(a)]. 13579 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u))). [para(7374(a,1),13550(a,1,1,3))]. 13580 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). [para(7721(a,1),13550(a,1,1,3))]. 13581 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [hyper(13462,a,13560,a),flip(a)]. 13582 K(x,T(y \ 1,z) \ x) = K(x,T(y * x,z)). [para(13581(a,1),7983(a,2))]. 13583 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(13582(a,1),6117(a,1))]. 13584 a(x,y * z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [hyper(17,a,13536,a,b,13567,a),flip(a)]. 13585 a(x,y \ z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [para(14(a,1),13584(a,1,2)),flip(a)]. 13586 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(7378(a,2),13584(a,1,3))]. 13587 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(7378(a,2),13586(a,2,3))]. 13588 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [para(13577(a,1),11589(a,1)),flip(a)]. 13589 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(9351(a,1),13588(a,1,1))]. 13590 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(7395(a,1),13589(a,2,3))]. 13591 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [para(13583(a,2),9045(a,1)),flip(a)]. 13592 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [para(13591(a,1),13581(a,1))]. 13593 K(x,x \ y) * K(x * (y / x),z) = y \ (x * (T(y,z) / x)). [para(4791(a,1),13491(a,1,1))]. 13594 K(x,x \ y) * K(y,T(z,x)) = y \ (x * (T(y,z) / x)). [para(12355(a,1),13593(a,1,2))]. 13595 K(x \ y,x) \ K(y,T(z,x)) = y \ (x * (T(y,z) / x)). [para(13594(a,1),4906(a,2))]. 13596 T(x / y,K(z,T(x,y)) \ y) = ((x / y) \ T(x,z)) \ T(x,z). [para(12382(a,1),13523(a,1,2,1))]. 13597 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(5579(a,1),13527(a,2,2))]. 13598 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [para(13597(a,2),2020(a,1))]. 13599 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(59(a,1),13598(a,1,1))]. 13600 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [para(13547(a,2),13506(a,1))]. 13601 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(36,a,13600,a)]. 13602 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(13506(a,2),13601(a,1,2))]. 13603 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1 \ 1. [para(13602(a,1),1286(a,1,1)),flip(a)]. 13604 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. [hyper(197,a,13603,a(flip)),flip(a)]. 13606 L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). [para(13604(a,1),2664(a,1,1,2))]. 13607 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [para(13580(a,1),13579(a,1))]. 13608 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(61(a,1),13607(a,1,2,2,3)),flip(a)]. 13609 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(59(a,1),13599(a,1,2,1)),flip(a)]. 13610 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(5990(a,1),13609(a,1,1))]. 13611 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(13610(a,2),1816(a,1,2))]. 13612 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(13610(a,2),10333(a,2,1,1,2,1)),flip(a)]. 13613 K(x,T(y,z)) * L(K(K(x,y),x * z),u,w) = K(x,y) * a(K(x,y),u,K(w,x * z)). [para(6742(a,1),13564(a,1,1))]. 13614 (x * K(y,z)) * a(y,u,K(x / u,z)) = (K(y,T(z,x)) * u) * (u \ x). [para(7476(a,1),13404(a,1,2,3))]. 13615 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(13585(a,1),13578(a,2,1))]. 13616 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [para(13615(a,2),13550(a,1))]. 13617 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(96(a,1),13616(a,1,2,2))]. 13618 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(10901(a,2),13617(a,1,2,2))]. 13619 K(T(T(x * y,z),u) \ w,(x \ 1) \ y) = K((x * y) \ w,(x \ 1) \ y). [para(13557(a,2),13482(a,1))]. 13620 K(T(T(x * y,z),u) \ w,(x \ 1) \ y) = K(y \ (x \ w),1 \ (x * y)). [para(13619(a,2),11274(a,1))]. 13621 K(T(T(x * y,z),u) \ w,(x \ 1) \ y) = K(y \ (x \ w),x * y). [para(50(a,1),13620(a,2,2))]. 13622 K(T(T(x * y,z),u) \ w,x * y) = K(y \ (x \ w),x * y). [para(13621(a,1),13420(a,1)),flip(a)]. 13623 K((x * y) \ z,x * y) = K(y \ (x \ z),x * y). [para(5378(a,1),13622(a,1,1,1))]. 13624 K(x,T(y,z)) * L(K(x,K(y,x * z)),u,w) = K(x,y) * a(K(x,y),u,K(w,x * z)). [para(7351(a,1),13613(a,1,2,1))]. 13625 K(x,T(y,z)) * L(K(x,K(z,y)),u,w) = K(x,y) * a(K(x,y),u,K(w,x * z)). [para(7458(a,1),13624(a,1,2,1))]. 13626 K(x,T(y,z)) * K(z,K(y,L(x,u,w))) = K(x,y) * a(K(x,y),u,K(w,x * z)). [para(8086(a,1),13625(a,1,2))]. 13627 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(13611(a,1),8850(a,1)),flip(a)]. 13628 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(2378(a,2),13627(a,2,1))]. 13629 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (x / ((x \ y) \ 1)) / x. [para(13628(a,2),61(a,1))]. 13630 (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). [para(13629(a,1),13576(a,1))]. 13631 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [para(13630(a,2),14(a,1,2))]. 13632 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(2685(a,1),13540(a,1,2))]. 13634 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(7700(a,1),13632(a,1,2)),flip(a)]. 13636 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [para(13634(a,2),11556(a,1))]. 13637 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [para(13636(a,1),13343(a,2,2))]. 13638 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * (x \ y),T(1 / (x \ y),x)). [para(61(a,1),13543(a,2,1,2))]. 13640 K((1 / (x \ y)) \ z,T(1 / (x \ y),T(x,y))) = K(z * (x \ y),x / y). [para(13638(a,2),7658(a,1))]. 13641 K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)) = K(x * (T(x,y) \ z),T(x,y) / z). [para(13640(a,1),10937(a,1)),flip(a)]. 13642 K((1 / (T(x,y) \ z)) \ x,1 / (T(x,y) \ z)) = K(K(y,x) * z,T(x,y) / z). [para(4581(a,1),13641(a,2,1))]. 13643 K((1 / (T(x,y) \ z)) \ x,(T(x,y) \ z) \ 1) = K(K(y,x) * z,T(x,y) / z). [para(13642(a,1),3166(a,1)),flip(a)]. 13644 K(x * (T(x,y) \ z),(T(x,y) \ z) \ 1) = K(K(y,x) * z,T(x,y) / z). [para(13643(a,1),5578(a,1)),flip(a)]. 13645 K(K(x,y) * z,(T(y,x) \ z) \ 1) = K(K(x,y) * z,T(y,x) / z). [para(4581(a,1),13644(a,1,1))]. 13646 K(K(x,y) * z,T(y,x) / z) = K(K(x,y) * z,z \ T(y,x)). [para(13645(a,1),5962(a,1))]. 13647 K((T(x,y) / z) \ x,T(x,y) / z) = K(K(y,x) * z,z \ T(x,y)). [para(13646(a,1),11178(a,2))]. 13648 K((T(x,y) / z) \ T(x,z),T(x,y) / z) = K(K(y,x) * z,z \ T(x,y)). [para(13647(a,1),8129(a,2))]. 13649 K(K(x,y) * z,z \ T(y,x)) = K(z,z \ y). [para(13648(a,1),12219(a,1))]. 13650 K(K(x,T(y,z \ T(y,x))) * z,z \ T(y,x)) = K(z,z \ y). [para(13649(a,1),7184(a,2))]. 13652 K(K(x,T(y,z \ y)) * z,z \ T(y,x)) = K(z,z \ y). [para(8010(a,1),13650(a,1,1,1,2))]. 13653 K(K(x,T(y,z)) * z,z \ T(y,x)) = K(z,z \ y). [para(7861(a,1),13652(a,1,1,1))]. 13655 K(x * K(y,z),x \ T(z,y)) = K(x,x \ z). [para(7469(a,1),13653(a,1,1))]. 13656 T(T(x,y) / z,z * K(y,x)) = T(x,y) / (z * K(z,z \ x)). [para(13655(a,1),6784(a,1,2,2)),flip(a)]. 13657 T(T(x,y) / z,z * K(y,x)) = T(x,y) / T(z,z \ x). [para(4597(a,2),13656(a,2,2))]. 13658 T(x,L(T(y * z,z) / T(y,y \ (y * z)),u,w)) = T(x,L((y * z) / y,u,w)). [para(13657(a,1),13498(a,1,2,1))]. 13659 T(x,L(T(y * z,z) / T(y,z),u,w)) = T(x,L((y * z) / y,u,w)). [para(13(a,1),13658(a,1,2,1,2,2))]. 13660 T(x,L((y * z) / y,u,w)) = T(x,L(z * K(y * z,z),u,w)). [para(4946(a,1),13659(a,1,2,1)),flip(a)]. 13661 T(x,L(T(y,z * y),u,w)) = T(x,L((z * y) / z,u,w)). [para(13660(a,2),12883(a,1)),flip(a)]. 13662 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [para(13661(a,2),12884(a,1))]. 13663 (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(13662(a,1),11292(a,1,2))]. 13664 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(13470(a,1),13612(a,1,1,1,2))]. 13665 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(9996(a,1),13664(a,1,1,1,2))]. 13666 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(5153(a,1),13665(a,1,1,1)),flip(a)]. 13667 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(2378(a,2),13666(a,1,2,2,1))]. 13668 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(61(a,1),13667(a,1,2,2))]. 13670 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(13631(a,1),13668(a,1,2))]. 13671 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [para(13670(a,2),59(a,1,2))]. 13672 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). [para(3909(a,1),13663(a,1,2)),flip(a)]. 13673 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). [para(38(a,1),13672(a,2,2))]. 13674 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). [para(13673(a,2),7193(a,1))]. 13675 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). [para(11256(a,1),13674(a,2,1))]. 13676 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). [para(13675(a,2),6466(a,1))]. 13677 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(6530(a,1),13676(a,1,2,3))]. 13678 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(4948(a,1),13677(a,1,2,3))]. 13679 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(13678(a,1),11461(a,2))]. 13680 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11214(a,1),13679(a,1,1))]. 13681 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(2783(a,1),13680(a,1,2)),flip(a)]. 13682 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [para(13681(a,2),4906(a,1))]. 13683 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(11256(a,1),13682(a,2,1))]. 13684 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [para(13683(a,2),4609(a,2)),flip(a)]. 13685 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [para(13684(a,1),11779(a,2))]. 13686 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(13324(a,2),13685(a,1,1))]. 13687 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [para(13686(a,1),38(a,1)),flip(a)]. 13688 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). [para(12(a,1),13606(a,1,1)),flip(a)]. 13689 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). [para(13542(a,1),13688(a,2,3))]. 13690 (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(13542(a,1),13689(a,1,1))]. 13691 (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(12761(a,1),13690(a,1,2))]. 13692 K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). [para(13691(a,1),12662(a,1)),flip(a)]. 13693 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(4907(a,1),13692(a,1,2)),flip(a)]. 13694 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [para(13693(a,2),4907(a,1))]. 13696 T(1 / x,x \ y) * L(T(1 / x,x \ y) \ 1,z,u) = T((1 / x) * L((1 / x) \ 1,z,u),(x \ 1) * y). [para(13548(a,1),13551(a,1,2,1,1))]. 13697 T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T((1 / x) * L((1 / x) \ 1,y,z),x \ u). [para(13696(a,1),1885(a,1))]. 13698 T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T((1 / x) * L(x,y,z),x \ u). [para(61(a,1),13697(a,2,1,2,1))]. 13699 T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). [para(4499(a,1),13698(a,2,1))]. 13700 T((1 / x) * L(x,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). [para(61(a,1),13699(a,1,1,2,1))]. 13701 T(x \ L(x,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). [para(4499(a,1),13700(a,1,1))]. 13702 T(x \ L(x,y,z),x \ u) = T((1 / x) * L((1 / x) \ 1,y,z),u). [para(13701(a,1),13135(a,1))]. 13703 T(x \ L(x,y,z),x \ u) = T((1 / x) * L(x,y,z),u). [para(61(a,1),13702(a,2,1,2,1))]. 13704 T(x \ L(x,y,z),x \ u) = T(x \ L(x,y,z),u). [para(4499(a,1),13703(a,2,1))]. 13705 T(x \ L(x,y,z),x * u) = T(x \ L(x,y,z),u). [para(13(a,1),13704(a,1,2)),flip(a)]. 13706 (x \ L(x,y,z)) \ T(x \ L(x,y,z),u) = K(x \ L(x,y,z),x * u). [para(13705(a,1),4571(a,2,2)),flip(a)]. 13707 K(x \ L(x,y,z),x * u) = K(x \ L(x,y,z),u). [para(13706(a,1),4571(a,2)),flip(a)]. 13708 K(x * y,x \ L(x,z,u)) = K(x \ L(x,z,u),y) \ 1. [para(13707(a,1),4796(a,1,1)),flip(a)]. 13709 K(x * y,x \ L(x,z,u)) = K(y,x \ L(x,z,u)). [para(13708(a,2),4796(a,1))]. 13710 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). [para(13505(a,1),13559(a,2,1,2))]. 13711 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). [para(7020(a,1),13710(a,2,1))]. 13712 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). [para(2894(a,1),13711(a,2,1,1))]. 13713 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). [para(6842(a,1),13712(a,2,2))]. 13714 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(13713(a,2),13601(a,1))]. 13715 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(11515(a,1),13714(a,1,1))]. 13717 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(y,1 / y) * ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [para(13637(a,2),4906(a,1))]. 13718 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(13717(a,2),7279(a,1))]. 13719 K(x,1 / (K(1 / y,y) \ (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(4220(a,1),13718(a,1,2,2,2))]. 13721 K(x,1 / (K(y,1 / y) * (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(4906(a,1),13719(a,1,2,2))]. 13722 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(11199(a,1),13721(a,1,2,2)),flip(a)]. 13723 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [para(13722(a,2),10878(a,1))]. 13724 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(132(a,1),13723(a,2,2))]. 13725 (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5390(a,1),13570(a,1,1,1))]. 13726 ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11515(a,1),13725(a,1,1))]. 13727 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11515(a,1),13726(a,1,2,1))]. 13728 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5390(a,1),13727(a,1,2,2,2))]. 13729 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(13715(a,1),13728(a,1,2)),flip(a)]. 13730 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(13729(a,2),12836(a,1))]. 13732 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(5390(a,1),13730(a,1,2,1))]. 13733 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(11515(a,1),13732(a,1,2))]. 13734 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [para(13733(a,1),61(a,1,1))]. 13735 (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(13734(a,1),11541(a,1,1,1))]. 13736 (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12836(a,1),13735(a,1,1))]. 13737 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(13734(a,1),13736(a,1,2,2))]. 13738 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(13558(a,1),13737(a,1,2))]. 13739 (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(10219(a,1),13738(a,1,2))]. 13740 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(13694(a,1),13739(a,1,2)),flip(a)]. 13741 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(13734(a,1),13740(a,1,1,1,1))]. 13742 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12836(a,1),13741(a,1,1,1))]. 13743 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(13734(a,1),13742(a,1,1)),flip(a)]. 13744 L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(13743(a,1),9262(a,1,1))]. 13745 L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(9261(a,1),13744(a,1,2))]. 13746 L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(13745(a,1),10222(a,1)),flip(a)]. 13747 L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(4581(a,1),13746(a,1,2))]. 13748 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [para(13747(a,1),12945(a,1))]. 13749 (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). [para(13748(a,1),12495(a,1,1))]. 13750 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z). [para(5728(a,1),13749(a,1,1,1)),flip(a)]. 13751 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),x * z). [para(5080(a,1),13750(a,2,2))]. 13752 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),x * z). [para(5592(a,1),13751(a,2,2))]. 13753 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). [para(11196(a,1),13752(a,2,2))]. 13754 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). [para(13(a,1),13753(a,2,2,1))]. 13756 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). [para(13754(a,2),5779(a,1))]. 13757 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(13756(a,2),12424(a,1))]. 13758 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5390(a,1),13757(a,1,1,1))]. 13759 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(13748(a,1),13758(a,1,1))]. 13760 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5728(a,1),13759(a,1,1,1))]. 13761 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [para(13760(a,1),4251(a,1)),flip(a)]. 13762 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(3978(a,1),13761(a,2,1))]. 13763 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(13193(a,1),13762(a,2,2))]. 13764 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(13193(a,1),13763(a,1,1,1))]. 13765 (((T(x,y) / z) / (x / z)) \ (T(x,y) / z)) * T(T((T(x,y) / z) / (x / z),T(x,y) / z),u) = K(x,K(y,u)) * ((((T(x,y) / z) / (x / z)) \ (T(x,y) / z)) * K((z \ 1) \ (x / z),y)). [para(11984(a,1),11898(a,1,1)),flip(a)]. 13766 (((T(x,y) / z) / (x / z)) \ (T(x,y) / z)) * T(T((T(x,y) / z) / (x / z),T(x,y) / z),u) = K(x,K(y,u)) * ((x / z) * K((z \ 1) \ (x / z),y)). [para(61(a,1),13765(a,2,2,1))]. 13769 (((T(x,y) / z) / (x / z)) \ (T(x,y) / z)) * T(T((T(x,y) / z) / (x / z),T(x,y) / z),u) = K(x,K(y,u)) * (T(x,y) / z). [para(6032(a,1),13766(a,2,2))]. 13770 (x / y) * T(T((T(x,z) / y) / (x / y),T(x,z) / y),u) = K(x,K(z,u)) * (T(x,z) / y). [para(61(a,1),13769(a,1,1))]. 13772 K(x,K(y,z)) * (T(x,y) / u) = (x / u) * T(K((u \ 1) \ (x / u),y),z). [para(6702(a,1),13770(a,1,2,1)),flip(a)]. 13773 K(x,K(y,z)) * (T(x,y) / u) = (x / u) * K((u \ 1) \ (x / u),T(y,z)). [para(6535(a,2),13772(a,2,2))]. 13774 K(x,K(y,z)) * (T(x,y) / u) = T(x,T(y,z)) / u. [para(13773(a,2),6032(a,1))]. 13775 ((L(x,y,z) \ 1) / ((L(x,y,z) \ 1) * x)) \ (T(L(x,y,z) \ x,x \ 1) / ((L(x,y,z) \ x) / (L(x,y,z) \ 1))) = T(L(x,y,z) \ x,(L(x,y,z) \ x) \ (L(x,y,z) \ 1)). [para(1066(a,1),10874(a,1,1,2,2))]. 13776 (1 / x) \ (T(L(x,y,z) \ x,x \ 1) / ((L(x,y,z) \ x) / (L(x,y,z) \ 1))) = T(L(x,y,z) \ x,(L(x,y,z) \ x) \ (L(x,y,z) \ 1)). [para(13332(a,1),13775(a,1,1))]. 13777 T(L(x,y,z) \ x,(L(x,y,z) \ x) \ (L(x,y,z) \ 1)) = (1 / x) \ (T(L(x,y,z) \ x,x \ 1) / x). [para(1066(a,1),13776(a,1,2,2)),flip(a)]. 13779 T(L(x,y,z) \ x,(L(x,y,z) \ x) \ (L(x,y,z) \ 1)) = (1 / x) \ (x * (L(x,y,z) \ (1 / x))). [para(13340(a,1),13777(a,2,2))]. 13780 (1 / x) \ (x * (L(x,y,z) \ (1 / x))) = T(L(x,y,z) \ x,x \ 1). [para(10869(a,1),13779(a,1,2)),flip(a)]. 13781 T(L(x,y,z) \ x,x \ 1) = (1 / x) \ (1 / L(x,y,z)). [para(8728(a,1),13780(a,1,2)),flip(a)]. 13783 (1 / x) \ (1 / L(x,y,z)) = L(x,y,z) \ x. [para(13781(a,1),11712(a,1))]. 13784 (1 / x) \ (1 / L(x,y,z)) = x / L(x,y,z). [para(13783(a,2),10538(a,2)),flip(a)]. 13785 ((x \ 1) \ (1 / L(x,y,z))) * (x \ 1) = (x / L(x,y,z)) * (1 / x). [para(13784(a,1),2660(a,1,1)),flip(a)]. 13786 ((x \ 1) / L(x \ 1,y,z)) * (1 / (x \ 1)) = (x \ (1 / L(x \ 1,y,z))) * x. [para(13785(a,1),2654(a,1))]. 13787 ((x \ 1) / L(x \ 1,y,z)) * x = (x \ (1 / L(x \ 1,y,z))) * x. [para(59(a,1),13786(a,1,2))]. 13788 ((x \ 1) / L(x \ 1,y,z)) \ ((x \ (1 / L(x \ 1,y,z))) * x) = x. [hyper(71,a,13787,a)]. 13789 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ (1 / L(x \ 1,y,z))) * x. [para(10538(a,1),13787(a,1,1))]. 13790 (L(x \ 1,y,z) \ (x \ 1)) \ ((x \ (1 / L(x \ 1,y,z))) * x) = x. [para(10538(a,1),13788(a,1,1))]. 13791 (x \ (1 / L(x \ 1,y,z))) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(13789(a,1),11037(a,1))]. 13792 (x \ (1 / L(x \ 1,y,z))) * x = L(1 / x,y,z) \ 1. [para(13791(a,2),4508(a,1))]. 13793 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [para(13792(a,1),13790(a,1,2))]. 13794 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [para(13793(a,1),12043(a,1)),flip(a)]. 13795 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(142(a,1),13794(a,1,2,2,1))]. 13796 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(13795(a,1),3701(a,1,2))]. 13797 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(13796(a,1),7222(a,2,1))]. 13798 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [para(13796(a,1),12202(a,1)),flip(a)]. 13799 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(13798(a,1),12205(a,1,1))]. 13800 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(13797(a,2),13799(a,1))]. 13801 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(5902(a,1),13800(a,1,1))]. 13802 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [para(13801(a,1),6175(a,1))]. 13803 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [para(13802(a,1),10031(a,1)),flip(a)]. 13804 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(13803(a,1),61(a,1,1))]. 13805 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(13804(a,1),2263(a,1,1))]. 13806 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(13805(a,1),6113(a,1,2,1))]. 13807 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [para(13806(a,1),13582(a,1))]. 13808 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(50(a,1),13807(a,1,2)),flip(a)]. 13809 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [para(13808(a,2),5131(a,1))]. 13810 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [para(13809(a,2),10563(a,1))]. 13811 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [para(13810(a,2),7983(a,1))]. 13813 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(14(a,1),13811(a,1,2,1,1,1)),flip(a)]. 13814 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [para(13813(a,1),8676(a,1))]. 13815 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [para(13814(a,1),5194(a,1)),flip(a)]. 13816 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [para(13814(a,1),13592(a,1)),flip(a)]. 13817 K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). [para(13815(a,1),11478(a,1))]. 13818 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(13(a,1),13816(a,1,2,1,1)),flip(a)]. 13819 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [para(13818(a,1),8467(a,2))]. 13820 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(13817(a,1),6225(a,1,1))]. 13821 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [para(13819(a,1),8478(a,1))]. 13822 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [para(13821(a,1),6573(a,1)),flip(a)]. 13824 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [para(13822(a,1),10178(a,1))]. 13825 K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). [para(109(a,1),13824(a,1,2,1,1,2))]. 13827 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [para(13825(a,1),8679(a,1))]. 13828 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [para(13827(a,1),10173(a,1)),flip(a)]. 13829 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [para(13828(a,2),5185(a,1))]. 13830 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(61(a,1),13829(a,2,2,1,1))]. 13832 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [para(13830(a,2),10047(a,1)),flip(a)]. 13833 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(13832(a,2),6225(a,1,1))]. 13834 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [para(13833(a,1),6229(a,1)),flip(a)]. 13835 K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). [para(13820(a,1),6225(a,1))]. 13836 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [para(13835(a,1),12822(a,1))]. 13837 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(59(a,1),13836(a,2,2,2))]. 13838 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [para(13837(a,1),13834(a,2))]. 13839 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(12661(a,1),13838(a,1,1))]. 13841 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [para(13839(a,1),12651(a,1)),flip(a)]. 13842 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [para(13841(a,2),12661(a,1))]. 13843 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [para(13842(a,1),12684(a,1))]. 13844 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [para(13843(a,1),12833(a,1))]. 13846 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(13844(a,2),4609(a,2,1)),flip(a)]. 13847 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [para(13846(a,1),4609(a,2))]. 13848 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [para(13847(a,2),12896(a,2))]. 13849 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [para(13848(a,1),10095(a,1)),flip(a)]. 13850 L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(3115(a,2),13849(a,2,2,1))]. 13852 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [para(13849(a,1),12705(a,2))]. 13853 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(13401(a,1),13852(a,1,2))]. 13854 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [para(13853(a,1),13764(a,2))]. 13855 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(12521(a,1),13854(a,1,1))]. 13856 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(13435(a,2),13855(a,1,1))]. 13857 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [para(13856(a,1),3981(a,2))]. 13858 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [para(13857(a,1),13687(a,1))]. 13859 L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(11665(a,1),13850(a,1,1))]. 13860 L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(61(a,1),13859(a,1,1,2,1,2,1))]. 13861 L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [para(12716(a,1),13860(a,1,1))]. 13862 L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [para(13861(a,1),10218(a,1)),flip(a)]. 13864 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). [para(61(a,1),13862(a,1,2,2,1)),flip(a)]. 13865 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [para(13864(a,2),11352(a,1))]. 13867 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [para(13865(a,2),13849(a,1))]. 13868 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(14(a,1),13867(a,2,2,1))]. 13869 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3115(a,1),13868(a,1,2,1))]. 13870 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [para(13869(a,1),13858(a,1)),flip(a)]. 13871 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(9408(a,1),13870(a,1,2,1))]. 13872 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [para(13871(a,1),13329(a,1)),flip(a)]. 13873 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(4555(a,2),13872(a,1,2,1,2))]. 13874 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(12370(a,1),13873(a,1,2,1)),flip(a)]. 13875 R(x,y,z) * T(u,L(x,y,z)) = u * R(x,y,z). [para(13874(a,1),109(a,1,2))]. 13876 T(x,L(y / z,z,u)) = T(x,(y * u) / (z * u)). [para(105(a,1),13874(a,1,2)),flip(a)]. 13877 T(x,L((y / z) / u,u,z)) = T(x,y / (u * z)). [para(200(a,1),13874(a,1,2)),flip(a)]. 13878 T(x,L(y,z,u)) * R(T(y,x),z,u) = x * R(y,z,u). [para(13874(a,1),3873(a,1,1))]. 13879 x / T(x,L(y,z,u)) = K(R(y,z,u),x). [para(13874(a,1),4561(a,2,2)),flip(a)]. 13880 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [para(13874(a,1),4571(a,2,2)),flip(a)]. 13881 K(L(x,y,z),T(u,w)) \ ((R(w,v5,v6) * T(u,w)) / T(u,w)) = (T(T(u,w),R(x,y,z)) * R(T(w,u),v5,v6)) / T(u,w). [para(13874(a,2),7233(a,2,1,1))]. 13882 K(R(x,y,z),u) = K(L(x,y,z),u). [para(13879(a,1),4561(a,2)),flip(a)]. 13883 K(L(x / y,y,z),u) = K((x * z) / (y * z),u). [para(105(a,1),13882(a,1,1)),flip(a)]. 13884 K(L((x / y) / z,z,y),u) = K(x / (z * y),u). [para(200(a,1),13882(a,1,1)),flip(a)]. 13885 K(L(x / (y / z),y / z,z),u) = K((x * z) / y,u). [para(375(a,1),13882(a,1,1)),flip(a)]. 13886 K(L((x / y) \ z,x / y,y),u) = K(T((z * y) / x,x / y),u). [para(543(a,1),13882(a,1,1)),flip(a)]. 13887 K(L(x * K(y,x),y,z),T(u,y * z)) = K((y * z) \ ((y * x) * z),u). [para(13882(a,1),6650(a,1))]. 13889 K(x,R(y,z,u)) = K(x,L(y,z,u)). [para(13880(a,1),4571(a,2)),flip(a)]. 13890 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(200(a,1),13889(a,1,2)),flip(a)]. 13891 K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). [para(462(a,1),13889(a,1,2)),flip(a)]. 13892 K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(13889(a,1),9419(a,1,2))]. 13893 L(K(x,y),z,u) = K(x,R(y,z,u)). [para(13889(a,2),11214(a,2))]. 13895 L(K(x,(y / z) / u),u,z) = K(x,y / (u * z)). [para(200(a,1),13893(a,2,2))]. 13896 L(K(x,y / (z / u)),z / u,u) = K(x,(y * u) / z). [para(375(a,1),13893(a,2,2))]. 13897 L(K(x,y \ (z / u)),y,u) = K(x,T(z / (y * u),y)). [para(462(a,1),13893(a,2,2))]. 13898 L(K(x,T(y \ z,u)),y,y \ u) = K(x,T(u \ (z * (y \ u)),y)). [para(684(a,1),13893(a,2,2))]. 13899 ((x * y) * z) \ ((y * z) * R(x,y,z)) = L(K(y * z,x),y,z). [para(13893(a,2),363(a,2))]. 13900 R(K(x,y),z,u) = L(K(x,y),z,u). [para(13893(a,2),12651(a,2))]. 13901 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [para(13900(a,1),104(a,1,1))]. 13902 L(K(x,y),z,u) \ ((K(x,y) * z) * u) = z * u. [para(13900(a,1),128(a,1,1))]. 13903 L(K(x,y),1 / z,z) / z = K(x,y) * (1 / z). [para(13900(a,1),405(a,1,1))]. 13904 L(L(K(x,y),z,u),w,v5) * (z * u) = (L(K(x,y),w,v5) * z) * u. [para(13900(a,1),368(a,1,1,1))]. 13905 L(K(x,y),z,T(u,K(x,y) * z)) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(13900(a,1),392(a,1,1))]. 13906 L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(13900(a,1),5455(a,1))]. 13907 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(13900(a,1),6241(a,1))]. 13908 (K(x,T(y,z)) * u) * (u \ z) = z * L(K(x,y),u,u \ z). [para(13900(a,1),7473(a,2,2))]. 13910 K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). [para(13906(a,1),5440(a,1))]. 13911 ((x \ 1) \ K(L(y,z,u) \ 1,x)) \ ((x \ 1) \ 1) = K(x,R(y,z,u) \ 1). [para(13910(a,1),6808(a,1,1,2))]. 13912 ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). [para(13875(a,1),5806(a,2))]. 13913 T(x,L(y / (z / ((u \ 1) \ 1)),z / ((u \ 1) \ 1),u)) = T(x,(y * u) / ((u * (1 / u)) \ z)). [para(5659(a,1),13876(a,2,2,2))]. 13914 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). [para(13883(a,1),7569(a,1)),flip(a)]. 13915 L(K(x / y,z),y,u) = K((x * u) / (y * u),z). [para(13883(a,1),11250(a,2))]. 13916 K(L((x / y) / K(z,u),K(z,u),y),w) = K(x / (K(u,z) \ y),w). [para(4906(a,2),13884(a,2,1,2))]. 13917 K(x,T(L((y / z) / u,u,z),w)) = ((w * x) / w) / ((w * (x * K(y / (u * z),x))) / w). [para(13884(a,1),8608(a,1,2,1,2,2)),flip(a)]. 13918 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(13890(a,1),8462(a,2,2))]. 13919 L(K(x,y),z,u) * (z * u) = (K(y,x) \ z) * u. [para(4906(a,2),13901(a,2,1))]. 13920 K(x,1 / L(y,z,u)) * (z * u) = (K(x,1 / y) * z) * u. [para(5423(a,1),13901(a,1,1))]. 13921 L(K(x,y),y * x,z) \ ((x * y) * z) = (y * x) * z. [para(4535(a,1),13902(a,1,2,1))]. 13922 L(K(x,x \ y),y,z) \ ((x * (y / x)) * z) = y * z. [para(4626(a,1),13902(a,1,2,1))]. 13923 L(K(x,y),z,u) \ ((K(y,x) \ z) * u) = z * u. [para(4906(a,2),13902(a,1,2,1))]. 13924 L(K(x,y),1 / z,z) / z = K(y,x) \ (1 / z). [para(13903(a,2),4906(a,2)),flip(a)]. 13925 K(x,y) * (1 / z) = K(x,y) / z. [para(13412(a,1),13903(a,1,1)),flip(a)]. 13926 1 / (x \ K(y,z)) = K(y,z) \ x. [hyper(17,a,224,a(flip),b,13925,a)]. 13927 K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). [para(4559(a,2),13925(a,1,2))]. 13928 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(13925(a,1),6696(a,1,1))]. 13931 (K(x,y) \ z) \ 1 = z \ K(x,y). [para(13926(a,1),61(a,1,1))]. 13932 (x \ ((1 / x) \ K(y,z))) \ u = 1 / (u \ K(y,z)). [para(13440(a,2),13926(a,2,1)),flip(a)]. 13934 (x \ y) \ K(x \ y,T(x,z)) = (T(y,K(x,z)) / x) \ 1. [para(8300(a,1),13931(a,1,1)),flip(a)]. 13935 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(13928(a,1),12008(a,1,1))]. 13936 T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). [para(13469(a,2),13928(a,1,1))]. 13937 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [para(13907(a,1),6540(a,1)),flip(a)]. 13938 L(K(x,y),z,z \ u) * u = (K(y,x) \ z) * (z \ u). [para(14(a,1),13919(a,1,2))]. 13939 L(K(x,y),z,u) \ (z * u) = (K(x,y) \ z) * u. [para(13919(a,1),5602(a,2))]. 13940 K(L(x,y,z),u) \ (y * z) = (K(x,u) \ y) * z. [para(13919(a,1),11228(a,2))]. 13941 L(K(x,y),z,(K(y,x) \ z) \ u) \ u = z * ((K(y,x) \ z) \ u). [para(14(a,1),13923(a,1,2))]. 13942 L(K(x,y),z \ 1,z) / z = K(y,x) \ (1 / z). [para(2562(a,1),13924(a,1,1))]. 13943 T(x,y) \ (x * (x * z)) = (K(x,y) \ x) * z. [para(13939(a,1),5835(a,1)),flip(a)]. 13944 a(x,(y * z) \ (L(K(u,w),y,z) * v5),x) = a(x,((K(u,w) \ y) * z) \ v5,x). [para(13939(a,1),13062(a,1,2,1)),flip(a)]. 13945 (K(x,y) \ x) * T(z,T(x,y)) = ((z / T(x,y)) * x) * x. [para(13943(a,1),8839(a,1))]. 13946 L(K(x / (1 / y),z),y \ 1,y) / y = (1 / y) * K((1 / y) \ x,z). [para(13942(a,2),6661(a,1))]. 13947 1 / (K(x,y) * z) = (1 / z) * K(y,x). [para(13936(a,1),7928(a,1)),flip(a)]. 13948 K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). [para(13947(a,1),13925(a,1,2))]. 13949 T(T(x,y),L(y,z,u)) * R(T(y,x),z,u) = T(x,y) * R(y,z,u). [para(3842(a,1),13878(a,1,2,1))]. 13950 (x * T(y / z,u / (y / z))) \ (x * (y / z)) = K((u * z) / y,y / z). [para(13885(a,1),10492(a,1)),flip(a)]. 13951 K(L(x / (y / K(L(x,z,u),w)),y / K(L(x,z,u),w),K(L(x,z,u),w)),v5) = K((L(K(w,x),z,u) \ x) / y,v5). [para(11278(a,2),13885(a,2,1,1))]. 13952 K(x,T(y / ((z \ u) * z),z \ u)) = K(x,u \ (z * (y / z))). [para(343(a,1),13891(a,1,2)),flip(a)]. 13953 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). [para(351(a,1),13891(a,1,2)),flip(a)]. 13954 K(x,L(T(y,K(z,u)) \ (w / K(z,u)),T(y,K(z,u)),K(z,u))) = K(x,T(w / (K(z,u) * y),T(y,K(z,u)))). [para(7438(a,1),13891(a,2,2,1,2))]. 13955 L(K(x / y,(x / y) \ z),x / y,y) = K(x / y,(z * y) / x). [para(4770(a,1),13896(a,1,1))]. 13956 L(K(x,y / (z / u)),u \ z,u) = K(x,(y * u) / z). [para(13896(a,1),10901(a,1)),flip(a)]. 13957 L(K(x,y \ (z / L(x,u,w))),y,L(x,u,w)) = K(x,(y * L(x,u,w)) \ z). [para(13897(a,2),8705(a,1))]. 13958 L(K(x,y),y * x,L(z,y,x)) \ (x * (y * z)) = (y * x) * L(z,y,x). [para(95(a,1),13921(a,1,2))]. 13959 x * L(K(y,T(z,x)),u,u \ x) = (K(z,y) \ u) * (u \ x). [para(13938(a,1),6538(a,2))]. 13960 L(K(x,((y / z) / u) \ x),z \ y,z) = K(x,((x * u) * z) / y). [para(6375(a,1),13956(a,1,1))]. 13961 K((K(x,y) * T(z,K(y,x))) \ u,T(w,T(z,K(y,x)))) = K(((K(x,y) \ u) * K(x,y)) / (K(x,y) * z),w). [para(5379(a,1),13914(a,2,1,2))]. 13962 K((x * y) \ z,T(u,y)) = (((w \ v5) \ v5) * K(u,((x \ z) * x) / (y * x))) \ T(w,w \ v5). [para(13914(a,2),6807(a,2)),flip(a)]. 13963 K((K(x,y) * z) \ u,T(w,z)) = K((K(x,y) * (u / K(x,y))) / (z * K(x,y)),w). [para(7526(a,1),13914(a,2,1,1))]. 13964 K(x \ y,y \ (x * z)) \ K(y \ (x * (((x \ y) \ z) \ z)),T(y,u)) = (T(x * (((x \ y) \ z) \ z),K(y,u)) / y) \ 1. [para(10504(a,1),13934(a,1,1))]. 13965 ((x / T(y,z)) * y) * y = x * (K(y,z) \ y). [para(13945(a,1),7707(a,1))]. 13966 T(x / T(y,z),y) * y = (y \ x) * (K(y,z) \ y). [para(8523(a,1),13965(a,1,1))]. 13967 (x * K(y,z)) * a(y,u,K(x / u,z)) = x * L(K(y,z),u,u \ x). [para(13908(a,1),13614(a,2))]. 13968 K(x,1 / L(y,z,u)) * (z * T(u,z)) = (K(x,1 / y) * z) * T(u,z). [para(10899(a,1),13920(a,1,1,2,2))]. 13969 K(x,L(K(y,T(z,x)),u,u \ x)) \ ((K(z,y) \ u) * (u \ x)) = L(K(y,T(z,x)),u,u \ x) * x. [para(13959(a,1),4534(a,1,2))]. 13970 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [para(13512(a,1),13912(a,1,2))]. 13971 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [para(13970(a,1),5806(a,1)),flip(a)]. 13972 ((x * y) * z) \ ((x * y) * R(z,x,y)) = (z * (x * y)) \ ((z * x) * y). [para(13971(a,1),11114(a,1,2))]. 13973 K(L((x / y) \ z,x / y,y),u) = K((z * y) / x,T(u,x / y)). [para(13886(a,2),6573(a,1))]. 13974 L(K(x,T(K(y,z \ u) \ w,u / z)),K(y,z \ u),T(u / z,T(y,z))) = K(x,T((u / z) \ (w * (K(y,z \ u) \ (u / z))),K(y,z \ u))). [para(7004(a,1),13898(a,1,3))]. 13975 K(L((x / y) * K(z,u),K(u,z),y),w) = K(x / (K(z,u) \ y),w). [para(6792(a,1),13916(a,1,1,1))]. 13976 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(13525(a,1),13918(a,1,2))]. 13978 K((x / y) \ 1,(y / x) \ z) = K(y / x,(z * x) / y). [para(13955(a,1),5836(a,1)),flip(a)]. 13979 K((x / y) \ 1,(y / x) \ z) = K(x \ y,y \ (z * x)). [para(13978(a,2),7545(a,1))]. 13980 K(x / y,(z * (x / y)) \ (z * u)) = K(y \ x,x \ (u * y)). [para(13979(a,1),11272(a,2))]. 13981 K((x / y) \ 1,(x \ y) \ z) = K(x \ y,y \ (z * x)). [para(13980(a,1),11387(a,1)),flip(a)]. 13982 K(x \ y,(x * z) / y) = K(x \ y,y \ (z * x)). [para(13981(a,1),11460(a,1)),flip(a)]. 13983 a(x \ y,x,K(z,u)) = a(u,x,K(y / x,z)). [hyper(9359,a,13967,a)]. 13984 a(x,y,K((y * z) / y,u)) = a(z,y,K(u,x)). [para(13(a,1),13983(a,1,1)),flip(a)]. 13986 a(x,y,K(z,T(u,y))) = a(z,y,K(u,x)). [para(7485(a,1),13984(a,1,3))]. 13987 L(K(x / (y \ 1),z),y \ 1,y) / y = (1 / y) * K((1 / y) \ x,z). [para(5052(a,1),13946(a,1,1,1))]. 13988 L(K(x,K(y,z)),z * K(x,y),L(u,z,K(x,y))) \ (K(x,y) * (z * u)) = (z * K(x,y)) * L(u,z,K(x,y)). [para(7351(a,1),13958(a,1,1,1))]. 13989 K(x,K(y,L(z,u,w))) * (u * T(w,u)) = (K(x,1 / K(y,z)) * u) * T(w,u). [para(8095(a,1),13968(a,1,1))]. 13990 (x * (y * z)) \ ((x * y) * z) = a(x * K(y * z,x),y,z). [para(13972(a,1),6335(a,1))]. 13991 a(x * K(y * z,x),y,z) = a(x,y,z). [para(13990(a,1),24(a,2)),flip(a)]. 13992 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [para(13991(a,1),6334(a,1,2))]. 13993 ((K(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(6537(a,1),13992(a,1,1,1))]. 13994 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [para(13911(a,1),6808(a,1))]. 13995 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(543(a,1),13994(a,1,2,1)),flip(a)]. 13996 (x * T(y / z,(y / z) \ u)) \ (x * (y / z)) = K((u * z) / y,y / z). [para(3849(a,1),13950(a,1,1,2))]. 13997 K(x,(y * L(x,z,u)) \ w) = K(x,y \ (w / L(x,z,u))). [para(13957(a,1),8202(a,1))]. 13999 K(T(x / (y * L(z,u,w)),y),z) = (K(z,y \ (x / L(z,u,w))) \ v5) / v5. [para(13997(a,1),8948(a,2,1,1))]. 14000 (x * T(y / z,(z \ y) \ u)) \ (x * (y / z)) = K((u * z) / y,y / z). [para(7056(a,1),13996(a,1,1,2))]. 14001 K(T(x / (y * L(z,u,w)),y),z) = K(y \ (x / L(z,u,w)),z). [para(13999(a,2),4908(a,1))]. 14002 K(x / (y * L(z,u,w)),T(z,y)) = K(y \ (x / L(z,u,w)),z). [para(14001(a,1),6573(a,1)),flip(a)]. 14003 K((x * L(y,z,u)) \ w,y) = K(x \ (w / L(y,z,u)),y). [para(14002(a,1),9166(a,1)),flip(a)]. 14004 K(L((x \ y) \ z,y / x,u),y / x) = K((z * x) / y,y / x). [para(14000(a,1),10492(a,2))]. 14005 K((x \ y) \ z,(x / y) \ 1) = K((z * x) / y,y / x). [para(14004(a,1),10491(a,1)),flip(a)]. 14006 K((x \ y) \ z,(x / y) \ 1) = K(y \ (z * x),x \ y). [para(14005(a,2),7553(a,1))]. 14007 K((x \ y) \ z,y / x) = K(y \ (z * x),x \ y). [para(14006(a,1),5109(a,1)),flip(a)]. 14008 a(x,(y * z) \ (L(K(u,w),y,z) * v5),x) = a(x,z \ ((K(u,w) \ y) \ v5),x). [para(13944(a,2),13060(a,1))]. 14009 K(x,K(y,L(z,u,w))) * (w * u) = (K(x,1 / K(y,z)) * u) * T(w,u). [para(109(a,1),13989(a,1,2))]. 14010 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [para(13995(a,2),6547(a,1))]. 14011 a(x,(y * z) \ (L(K(u,w),y,z) \ v5),x) = a(x,z \ ((K(w,u) \ y) \ v5),x). [para(5602(a,2),14008(a,1,2,2))]. 14012 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [para(14010(a,2),9471(a,1))]. 14013 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [para(14012(a,1),5968(a,1))]. 14014 K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(5585(a,1),14013(a,2,2,1))]. 14015 K((K(x,y) \ z) \ u,T(w,z)) = K((K(y,x) * (u / K(y,x))) / (z * K(y,x)),w). [para(4906(a,2),13963(a,1,1,1))]. 14016 K((K(x,y) \ z) \ u,T(w,z)) = K(T(u,K(y,x)) / (z * K(y,x)),w). [para(7631(a,1),14015(a,2,1,1))]. 14017 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(10915(a,1),13905(a,1,1))]. 14018 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [para(14017(a,1),5602(a,1)),flip(a)]. 14020 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u). [para(14018(a,1),11354(a,2))]. 14021 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(11804(a,1),14020(a,1,1))]. 14022 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(7431(a,1),14021(a,1,1,2))]. 14023 x \ T(y * T(x,K(z,u)),K(u,L(z,x,y))) = T(y,K(u,z) * x). [hyper(71,a,14022,a(flip))]. 14024 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [para(12494(a,2),14023(a,1,2))]. 14025 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(7626(a,2),14024(a,1,2,2))]. 14026 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(8375(a,2),14025(a,1,2))]. 14027 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(7787(a,2),14026(a,1,2,2,2))]. 14028 K(x,T(L((y / z) / u,u,z),w)) = K(x,T(y / (u * z),w)). [para(13917(a,2),8608(a,1))]. 14029 L(K(x,T((y / z) / u,w)),u,z) = K(x,T(y / (u * z),w)). [para(14028(a,1),11215(a,2))]. 14030 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(13986(a,1),13993(a,1,2))]. 14031 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [para(14030(a,1),13569(a,1))]. 14032 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(6537(a,1),14031(a,1,1))]. 14033 (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). [para(10472(a,1),14032(a,1,2))]. 14034 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(329,a,14033,a),flip(a)]. 14035 L(1 / x,x,K(y,z)) = K(y,z) / (x * K(y,z)). [para(14034(a,1),143(a,1))]. 14036 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [para(14034(a,1),104(a,1,1))]. 14037 L(x / y,y,K(z,u)) = (x * K(z,u)) / (y * K(z,u)). [para(14034(a,1),105(a,1))]. 14038 L(x,x \ y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). [para(14034(a,1),390(a,1,1))]. 14039 (x * K(y,z)) * L(T(u,x * K(y,z)),x,K(y,z)) = (u * x) * K(y,z). [para(14034(a,1),456(a,1,2))]. 14040 L(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(14034(a,1),371(a,1,1))]. 14041 ((x \ 1) * K(y,z)) * L(x,x \ 1,K(y,z)) = (x \ K(y,z)) * x. [para(14034(a,1),3637(a,1,2))]. 14042 ((x * (y * z)) * K(z,u)) / (y * T(z,u)) = L(x,y * z,K(z,u)). [para(14034(a,1),5818(a,2))]. 14043 L(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [para(14034(a,1),6317(a,1))]. 14044 L(x,y,K(z,y \ 1)) = x. [para(14034(a,1),9950(a,1))]. 14050 L(x,y \ (y / z),K(u,z)) = x. [para(5967(a,1),14044(a,1,3))]. 14051 (K(x,y) \ (z \ (z / x))) * u = K(y,x) * ((z \ (z / x)) * u). [para(14050(a,1),4916(a,1,2))]. 14052 (x * y) * K(z,u) != w * (y * K(z,u)) | L(x,y,K(z,u)) = w. [para(14036(a,1),20(a,1))]. 14053 ((x * y) * z) * K(x,y) = (x * y) * (z * K(x,y)). [para(12757(a,1),14036(a,1,1)),flip(a)]. 14054 ((x * y) * (z * K(x,y))) / ((y * z) * K(x,y)) = R(R(x,y,z),y * z,K(x,y)). [para(14053(a,1),365(a,1,1))]. 14055 L(T(x,y) / z,z,K(y,x)) = x / (z * K(y,x)). [para(4547(a,1),14037(a,2,1))]. 14056 T(x / (y * K(z,x)),y) = (K(x,z) \ y) \ x. [para(14055(a,1),5521(a,1,1))]. 14057 T(x / y,y / K(z,x)) = (K(x,z) \ (y / K(z,x))) \ x. [para(16(a,1),14056(a,1,1,2))]. 14058 ((x * (y * z)) * K(z,y)) / (z * y) = L(x,y * z,K(z,y)). [hyper(78,a,14040,a)]. 14059 K(x,y) * ((z \ (z / y)) * u) = (z \ (z / T(y,x))) * u. [para(11339(a,1),14051(a,1,1)),flip(a)]. 14060 K(x,y) \ ((z \ (z / x)) * u) = (z \ (z / T(x,y))) * u. [para(14059(a,1),4906(a,2))]. 14061 ((x * (T(y * z,x) / x)) * K(z,u)) / (y * T(z,u)) = L(a(x,x \ (y * z),x),y * z,K(z,u)). [para(12801(a,1),14042(a,1,1,1))]. 14062 ((x * y) * (z * K(x,y))) / (y * (z * K(x,y))) = R(R(x,y,z),y * z,K(x,y)). [para(8485(a,1),14054(a,1,2))]. 14063 R(R(x,y,z),y * z,K(x,y)) = R(x,y,z * K(x,y)). [para(14062(a,1),30(a,2)),flip(a)]. 14064 x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(6706(a,2),14027(a,1,2,2))]. 14065 T(x,L(y / (z / ((u \ 1) \ 1)),z / u,u)) = T(x,(y * u) / ((u * (1 / u)) \ z)). [para(10213(a,1),13913(a,1,2))]. 14066 T(x,L(y / (z / ((u \ 1) \ 1)),u \ z,u)) = T(x,(y * u) / ((u * (1 / u)) \ z)). [para(10901(a,1),14065(a,1,2))]. 14067 T(x,L(y / (z / ((u \ 1) \ 1)),u \ z,u)) = T(x,(y * T(u,u \ 1)) / z). [para(5657(a,1),14066(a,2,2))]. 14068 T(x,L(y / (z / ((u \ 1) \ 1)),u \ z,u)) = T(x,(y * u) / z). [para(14067(a,2),5662(a,1))]. 14069 L(K(x,K(y,T(z,x))),u,u \ x) \ ((K(z,y) \ u) * (u \ x)) = L(K(y,T(z,x)),u,u \ x) * x. [para(5495(a,2),13969(a,1,1))]. 14070 ((x * (T(y * z,x) / x)) * K(z,u)) / (y * T(z,u)) = a(x,x \ (y * z),x). [para(14061(a,2),13029(a,1))]. 14072 L(K(x,K(y,z)),u,u \ x) \ ((K(y,z) \ u) * (u \ x)) = L(K(z,T(y,x)),u,u \ x) * x. [para(7418(a,1),14069(a,1,1,1))]. 14073 K((x * K(y,z)) \ u,T(w,T(x,K(z,y)))) = K(((K(y,z) \ u) * K(y,z)) / (K(y,z) * x),w). [para(7433(a,1),13961(a,1,1,1))]. 14074 K(x,T(y / (K(z,u) * w),T(w,K(z,u)))) = K(x,(K(z,u) * T(w,K(z,u))) \ T(y,K(z,u))). [para(7682(a,1),13954(a,1,2)),flip(a)]. 14075 K(x,T(y / (K(z,u) * w),T(w,K(z,u)))) = K(x,(w * K(z,u)) \ T(y,K(z,u))). [para(109(a,1),14074(a,2,2,1))]. 14076 K(L(x / (y * K(z,L(x,u,w))),y / K(L(x,u,w),z),K(L(x,u,w),z)),v5) = K((L(K(z,x),u,w) \ x) / y,v5). [para(6792(a,1),13951(a,1,1,1,2))]. 14077 K(L(x / (y * L(K(z,x),u,w)),y / K(L(x,u,w),z),K(L(x,u,w),z)),v5) = K((L(K(z,x),u,w) \ x) / y,v5). [para(11214(a,2),14076(a,1,1,1,2,2))]. 14078 K(L(x,y,z),T(T(u,w),v5)) \ ((R(w,v6,v7) * T(u,w)) / T(u,w)) = (T(T(u,w),R(T(x,v5),y,z)) * R(T(w,u),v6,v7)) / T(u,w). [para(6577(a,1),13881(a,1,1))]. 14079 K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(16(a,1),14014(a,1,2,1,2))]. 14080 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(6047(a,2),14064(a,1,2))]. 14081 T(x / T(y,K(z,u)),K(u,z) * y) = y \ T(x,K(z,u)). [para(16(a,1),14080(a,1,2,1)),flip(a)]. 14082 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(7431(a,1),14080(a,1,2,1,2))]. 14083 x \ T(y * T(x,K(z,u)),K(z,z \ u)) = T(y,K(z \ u,z) * x). [para(7615(a,1),14080(a,1,2,1,2))]. 14084 x \ T(y * T(x,K(z,u)),K(z,1 / u)) = T(y,K(1 / u,z) * x). [para(7762(a,1),14080(a,1,2,1,2))]. 14085 T(x / T(y,K(z,u)),K(z,u) \ y) = y \ T(x,K(z,u)). [para(4906(a,2),14081(a,1,2))]. 14086 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(7431(a,1),14082(a,1,2))]. 14087 T(R(x * K(K(y,z),u),K(u,K(y,z)),u),K(y,z) \ u) = u \ T(x * u,K(y,z)). [para(6803(a,2),14085(a,1,1))]. 14088 T(x,K(y,z) * u) = T(x,K(z,y) * u). [para(14086(a,1),14080(a,1))]. 14089 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [para(14088(a,1),4571(a,2,2)),flip(a)]. 14090 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(4627(a,1),14088(a,1,2)),flip(a)]. 14091 K(x,K(y,z) * u) = K(x,K(z,y) * u). [para(14089(a,1),4571(a,2))]. 14092 K(x,K(y,z) \ u) = K(x,K(y,z) * u). [para(4906(a,2),14091(a,1,2))]. 14093 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(4879(a,1),14091(a,1,2)),flip(a)]. 14094 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(6648(a,1),14091(a,1,2)),flip(a)]. 14095 K(x,K(y,z) \ (y * u)) = K(x,T(y,z) * u). [para(4627(a,1),14092(a,2,2))]. 14096 K(x,K(y,z) \ u) = K(x,K(z,y) \ u). [para(4906(a,2),14092(a,2,2))]. 14097 K(x,K(y,z) \ (z \ u)) = K(x,T(z,y) \ u). [para(4879(a,1),14092(a,2,2))]. 14098 K(x,K(y,z) \ ((y \ 1) \ u)) = K(x,u * T(u \ ((y \ 1) \ u),z)). [para(4606(a,1),14092(a,2,2))]. 14099 K(x,L(K(y,z),u,w) \ v5) = K(x,K(L(z,u,w),y) \ v5). [para(11214(a,2),14096(a,1,2,1))]. 14100 T(x,T(y,z) * z) = T(x,z * y). [para(4535(a,1),14090(a,1,2)),flip(a)]. 14101 T(x,((y * z) / y) * u) = T(x,T(z,y) * u). [para(5169(a,1),14090(a,1,2))]. 14102 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(4856(a,2),14093(a,1,2))]. 14103 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(145(a,1),14101(a,1,2,1)),flip(a)]. 14104 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [para(14103(a,1),12388(a,1))]. 14105 K(x,T(T(y \ z,u),y) \ w) = K(x,T(z / y,u) \ w). [para(311(a,1),14102(a,1,2,1)),flip(a)]. 14106 K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). [para(3970(a,1),14102(a,1,2,1))]. 14107 K(x,T(y,z) \ (T(z,y) * u)) = K(x,y \ (z * u)). [para(4114(a,1),14102(a,1,2)),flip(a)]. 14108 T(x,y * T(T(z,u),u)) = T(x,y * z). [para(14104(a,1),12368(a,1))]. 14110 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(144(a,1),14108(a,1,2,2,1)),flip(a)]. 14111 K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). [para(14110(a,1),4561(a,2,2))]. 14112 K(x * ((y * z) / y),u) = K(x * T(z,y),u). [para(14111(a,2),4561(a,2)),flip(a)]. 14113 K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). [para(1179(a,1),14112(a,2,1))]. 14114 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z \ u,z) * x). [para(7615(a,1),14083(a,1,2))]. 14115 T(x,K(y \ z,y) * u) = T(x,K(z,y) * u). [para(14114(a,1),14080(a,1))]. 14116 T(x,K(y * z,y) * u) = T(x,K(z,y) * u). [para(13(a,1),14115(a,1,2,1,1)),flip(a)]. 14117 K(x,K(y \ z,y) * u) = x \ T(x,K(z,y) * u). [para(14115(a,1),4571(a,2,2))]. 14118 T(x,K(y,y * z) * u) = T(x,K(z,y) * u). [para(14116(a,1),14088(a,1)),flip(a)]. 14119 T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). [para(14118(a,1),12387(a,1))]. 14120 K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). [para(14117(a,2),4571(a,2)),flip(a)]. 14121 K(x,T(y,y \ z) \ u) = K(x,K(z,y) * (y \ u)). [para(4879(a,1),14120(a,1,2))]. 14122 K(x,K(y,y \ z) * u) = K(x,K(z,y) * u). [para(14120(a,1),14091(a,1)),flip(a)]. 14123 K(x,K(y,z) * T(u,K(z,z \ y))) = K(x,u * K(z,z \ y)). [para(109(a,1),14122(a,1,2)),flip(a)]. 14124 K(x,K((y \ 1) \ z,y) * u) = K(x,K(y,z) * u). [para(5270(a,1),14122(a,1,2,1)),flip(a)]. 14125 K(x,T(y,y \ z) \ u) = K(x,T(y,z) \ u). [para(4879(a,1),14121(a,2,2))]. 14126 K(x,T(y,y * z) \ u) = K(x,T(y,z) \ u). [para(13(a,1),14125(a,1,2,1,2)),flip(a)]. 14127 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(110(a,1),14125(a,1,2,1))]. 14128 K(x,T(y / z,y) \ u) = K(x,(z \ y) \ u). [para(221(a,1),14125(a,1,2,1)),flip(a)]. 14129 K(x,T(y * K(z,y),z * y) \ u) = K(x,T(y * K(z,y),z) \ u). [para(4638(a,1),14125(a,1,2,1,2)),flip(a)]. 14130 L(K(x,T(y,z) \ (z \ u)),z \ u,z) = K(x,(L(y,z,y) * z) \ u). [para(14126(a,1),6134(a,1,1))]. 14131 K(T(x / y,x) \ z,u) = (w * K(u,(y \ x) \ z)) \ w. [para(14128(a,1),6793(a,1,1,2)),flip(a)]. 14132 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(y,(y \ 1) \ z)) \ w). [para(14124(a,1),6133(a,1,1))]. 14133 K(T(x / y,x) \ z,u) = K((y \ x) \ z,u). [para(14131(a,2),4675(a,1))]. 14134 K(((x \ y) \ y) \ z,u) = K(T(x,y) \ z,u). [para(59(a,1),14133(a,1,1,1,1)),flip(a)]. 14135 K(T(x,x \ y) \ z,u) = K(T(x,y) \ z,u). [para(110(a,2),14134(a,1,1,1))]. 14136 K(T(x,y) \ y,z) = K(y / x,z). [para(14134(a,1),7534(a,1))]. 14137 K(x \ T(y,x),z) = K(y / x,z). [para(3861(a,1),14136(a,1,1))]. 14138 (T(x,y) \ y) * K(y / x,z) = T(x \ T(y,x),z). [para(14137(a,1),4672(a,1,2))]. 14139 K(T(x * y,y) \ ((x * y) * z),u) = K(K(y * x,x \ 1) \ z,u). [para(14135(a,1),12396(a,1))]. 14140 T(x \ T(y,x),z) * K(z,y / x) = T(x,y) \ y. [hyper(6806,a,14138,a)]. 14141 K(x,T(y,z) \ z) = K(x,z / y). [hyper(17,a,4586,a,b,14140,a),flip(a)]. 14142 K(x,y \ T(z,y)) = K(x,z / y). [para(3861(a,1),14141(a,1,2))]. 14143 T(x,y * K(z,z * u)) = T(x,y * K(u,z)). [para(14119(a,1),12386(a,1))]. 14144 K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,z \ y)). [para(7615(a,1),14123(a,1,2,2))]. 14145 K(x,y * K(z,z \ u)) = K(x,y * K(u,z)). [para(7433(a,1),14144(a,1,2)),flip(a)]. 14146 K(x,y * K(z,L(u \ 1,u,z))) = K(x,y * K(u \ 1,z * u)). [para(9093(a,1),14145(a,1,2,2)),flip(a)]. 14147 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(1 / u,z) * x). [para(7762(a,1),14084(a,1,2))]. 14148 T(x,K(1 / y,z) * u) = T(x,K(y,z) * u). [para(14147(a,1),14080(a,1))]. 14149 T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). [para(59(a,1),14148(a,1,2,1,1)),flip(a)]. 14150 K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). [para(14149(a,1),4571(a,2,2))]. 14151 T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). [para(7433(a,1),14149(a,1,2)),flip(a)]. 14152 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [para(14150(a,2),4571(a,2)),flip(a)]. 14153 K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). [para(4835(a,1),14152(a,1,2)),flip(a)]. 14154 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(14152(a,1),6186(a,1,1))]. 14155 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [para(14152(a,1),14091(a,1)),flip(a)]. 14156 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [para(5962(a,1),14155(a,1,2,1)),flip(a)]. 14157 K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y \ 1)). [para(7763(a,1),14155(a,1,2)),flip(a)]. 14158 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(14155(a,1),6187(a,1,1))]. 14159 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [para(14156(a,1),14120(a,1))]. 14160 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(6648(a,1),14159(a,1,2))]. 14161 K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). [para(14159(a,1),14093(a,1)),flip(a)]. 14162 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(4879(a,1),14161(a,2,2))]. 14163 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). [para(4638(a,1),14153(a,1,2,2)),flip(a)]. 14164 K(x,y * T(y \ (z \ y),u)) = K(x,T(z,u) \ y). [para(14153(a,1),14093(a,1))]. 14165 K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). [para(7433(a,1),14157(a,1,2)),flip(a)]. 14166 K(x * K(y,z \ 1),u) = 1 / K(u,x * K(z,y)). [para(14165(a,1),4801(a,1,2)),flip(a)]. 14167 K(x,y * K(z,(L(u \ 1,w,v5) \ 1) \ 1)) = K(x,y * L(K(u,z),w,v5)). [para(5444(a,1),14165(a,2,2,2))]. 14168 K(x * K(y,z \ 1),u) = K(x * K(z,y),u). [para(14166(a,2),4801(a,1))]. 14169 K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)). [para(14168(a,1),12351(a,2))]. 14170 T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). [para(7761(a,1),14151(a,1,2,2))]. 14171 T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). [para(109(a,1),14170(a,1,2)),flip(a)]. 14172 K(x,K(y,z) \ ((y \ 1) \ u)) = K(x,T(y \ 1,z) \ u). [para(14098(a,2),14164(a,1))]. 14173 K(x,T(y * K(z,y),z) \ u) = K(x,L(y,z,y) \ u). [para(4743(a,1),14129(a,1,2,1)),flip(a)]. 14174 K(x,L(y,z,y) \ u) = K(x,y \ u). [para(4573(a,1),14173(a,1,2,1)),flip(a)]. 14175 K(x,y / T(z,y)) = K(x,z \ y). [para(4099(a,1),14174(a,1,2))]. 14176 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(4152(a,1),14174(a,1,2,1)),flip(a)]. 14177 L(K(x,y \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [para(14176(a,1),6135(a,1,1))]. 14179 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(14177(a,1),6106(a,1))]. 14181 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(14(a,1),14179(a,1,2,1,1)),flip(a)]. 14182 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [para(14181(a,1),14013(a,2))]. 14183 K(x,(L(y,z,y) * z) \ u) = K(x,(z * T(y,z)) \ u). [para(14130(a,1),6106(a,1))]. 14184 K(x,(L(y,z,y) * z) \ u) = K(x,(y * z) \ u). [para(109(a,1),14183(a,2,2,1))]. 14185 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [para(14184(a,1),14106(a,1)),flip(a)]. 14186 K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). [para(16(a,1),14185(a,1,2,1,1)),flip(a)]. 14187 K(x,T(y,z) \ (z * x)) = K(x,z / (x \ y)). [para(14186(a,1),7905(a,1))]. 14188 K(x,(y * ((y * z) / y)) \ u) = K(x,(z * y) \ u). [para(14186(a,2),14179(a,1))]. 14189 K(x,((y \ z) * y) \ u) = K(x,(y * (z / y)) \ u). [para(14186(a,2),14181(a,2))]. 14190 K(x,T(y,z) \ (T(z,y) * x)) = K(x,T(z,y) / (x \ y)). [para(3842(a,1),14187(a,1,2,1))]. 14191 K(x,(T(y,z) * z) \ u) = K(x,(z * y) \ u). [para(145(a,1),14188(a,1,2,1,2)),flip(a)]. 14192 K(x,((y \ z) * (K(y,u) \ y)) \ w) = K(x,(y * (z / T(y,u))) \ w). [para(13966(a,1),14191(a,1,2,1))]. 14193 K(x,(y * (z / y)) \ u) \ 1 = K(((y \ z) * y) \ u,x). [para(14189(a,1),4796(a,1,1))]. 14194 K(x,T(y,z) / (x \ z)) = K(x,z \ (y * x)). [para(14190(a,1),14107(a,1))]. 14195 K(((x \ y) * x) \ z,u) = K((x * (y / x)) \ z,u). [para(14193(a,1),4796(a,1))]. 14196 K(K(x * y,y \ 1) \ z,u) = K(K(y * x,x) \ z,u). [para(4854(a,1),14139(a,1,1)),flip(a)]. 14197 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [para(14160(a,2),14094(a,1))]. 14198 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(9714(a,1),14197(a,1,2))]. 14199 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (((u \ 1) \ 1) \ z))). [para(5606(a,1),14198(a,1,2,2,2)),flip(a)]. 14200 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(14198(a,1),14079(a,1)),flip(a)]. 14201 K(x,y * K(z,L(u \ 1,w,v5))) = K(x,y * L(K(u,z),w,v5)). [para(3165(a,1),14167(a,1,2,2))]. 14202 K(x,(y * K(z,(z \ 1) \ u)) \ w) = K(x,(y * K(u,z)) \ w). [para(14132(a,1),6133(a,1))]. 14203 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [para(14154(a,1),6133(a,1))]. 14204 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(5615(a,1),14203(a,1,2,1))]. 14205 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [para(14158(a,1),6133(a,1))]. 14206 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(6148(a,1),14205(a,1,2,1))]. 14207 K(x,(y * K((z \ 1) \ 1,(z \ 1) \ u)) \ w) = K(x,(y * K(z * u,z \ 1)) \ w). [para(4028(a,1),14206(a,2,2,1,2))]. 14208 K(x,(y * K(z \ 1,u)) \ K(u,K(y * K(u,z),z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(7383(a,1),14206(a,2,2))]. 14210 K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). [para(1789(a,1),14113(a,1,1))]. 14211 K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). [para(4619(a,1),14210(a,1,1,2)),flip(a)]. 14212 K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). [para(4570(a,1),14211(a,1,1,2))]. 14213 ((x \ 1) \ K(y \ K(z,u \ 1),x)) \ ((x \ 1) \ 1) = K(x,y \ K(u \ 1,z)). [para(14212(a,1),6808(a,1,1,2))]. 14214 K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). [para(14213(a,1),6808(a,1))]. 14215 T(R(x * K(y,K(z,u)),K(u,K(y,z)),u),K(y,z) \ u) = u \ T(x * u,K(y,z)). [para(7351(a,1),14087(a,1,1,1,2))]. 14216 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(14(a,1),14182(a,1,2,1,2))]. 14217 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(14200(a,1),14204(a,1)),flip(a)]. 14218 K(x,(y * K(z * u,z \ 1)) \ w) = K(x,(y * K(z,(z \ 1) \ u)) \ w). [para(2889(a,1),14207(a,1,2,1,2)),flip(a)]. 14219 K(x,(y * K(z,(z \ 1) \ u)) \ w) = K(x,(y * K(z * u,z)) \ w). [para(14218(a,1),14204(a,1))]. 14220 K(x,(y * K(z * u,z)) \ w) = K(x,(y * K(u,z)) \ w). [para(14219(a,1),14202(a,1))]. 14221 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(5189(a,2),14220(a,1,2,1,2))]. 14222 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(14221(a,1),14217(a,1))]. 14223 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(4597(a,2),14222(a,1,2,1))]. 14224 K(x,T(y,z) \ ((y * T(z,y)) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(3842(a,1),14223(a,1,2,1))]. 14225 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(109(a,1),14224(a,1,2,2,1))]. 14226 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(109(a,1),14225(a,1,2,2,2,2))]. 14227 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(7687(a,1),14226(a,2,2))]. 14229 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). [para(7504(a,1),14163(a,2,2,1))]. 14230 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). [para(7469(a,1),14229(a,2,2))]. 14231 K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). [para(4638(a,1),14230(a,1,2,2,1,2))]. 14232 K(x,y * (z * T(z \ 1,u))) = K(x,y * K(z,u)). [para(518(a,1),14231(a,1,2))]. 14233 K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). [para(4570(a,1),14232(a,1,2,2))]. 14234 K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)). [para(14233(a,1),4801(a,1,2)),flip(a)]. 14235 K(x,y * K(z,L(u \ 1,u,z))) = K(x,y * K(u,z * u)). [para(14233(a,1),14146(a,2))]. 14236 K(x * K(y \ 1,z),u) = K(x * K(y,z),u). [para(14234(a,2),4801(a,1))]. 14237 K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). [para(14236(a,1),12363(a,1))]. 14238 K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). [para(14237(a,1),14169(a,2))]. 14239 K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). [para(14238(a,1),12447(a,1)),flip(a)]. 14240 K(x,y * K(z,L(u \ 1,u,z))) = K(x,y * K(u,u * z)). [para(5131(a,1),14235(a,2,2,2))]. 14241 K(x,y * L(K(z,u),z,u)) = K(x,y * K(z,z * u)). [para(14240(a,1),14201(a,1)),flip(a)]. 14242 K(x,y * K(z,z * u)) = K(x,y * K(z,u)). [para(5815(a,1),14241(a,1,2,2)),flip(a)]. 14244 K(x,(y * K(z * u,z)) * K(z,u)) = K(x,y). [para(6794(a,1),14242(a,1,2)),flip(a)]. 14246 K(x,y * (K(z * u,z) * K(z,u))) = K(x,y). [para(8371(a,1),14244(a,1,2))]. 14247 K(x,y * (z \ R(z,u,z))) = K(x,y). [para(5230(a,1),14246(a,1,2,2))]. 14248 K(x,y / (z \ R(z,u,z))) = K(x,y). [para(16(a,1),14247(a,1,2)),flip(a)]. 14249 K(x,(y \ R(y,z,y)) \ u) = K(x,u). [para(9496(a,1),14248(a,1,2))]. 14250 L(K(x,y \ z),y \ z,y) = K(x,(y * (u \ R(u,w,u))) \ z). [para(14249(a,1),6106(a,1,1))]. 14251 K(x,a(y,z,y) \ u) = K(x,u). [para(8392(a,1),14249(a,1,2,1))]. 14252 T(x,a(y,z,y) \ u) = x * K(x,u). [para(14251(a,1),4597(a,2,2))]. 14253 T(x,a(y,z,y) \ u) = T(x,u). [para(14252(a,2),4597(a,2)),flip(a)]. 14254 T(x,y * L(z,u,z)) = T(x,y * z). [para(9511(a,1),14253(a,1,2))]. 14255 T(x,y / R(z,u,z)) = T(x,y / z). [para(13053(a,1),14253(a,1,2))]. 14256 T(x,(y * z) * y) = T(x,y * (z * y)). [para(95(a,1),14254(a,1,2)),flip(a)]. 14258 T(x,y / ((z \ u) \ u)) = T(x,y / T(z,u)). [para(6713(a,1),14255(a,1,2,2))]. 14259 T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). [para(5237(a,1),14256(a,1,2)),flip(a)]. 14260 T(x,y / T(z,y)) = T(x,z \ y). [para(59(a,1),14258(a,1,2)),flip(a)]. 14262 T(x,T(y,z) / z) = T(x,z \ y). [para(3898(a,2),14260(a,1,2))]. 14263 K(x,T(y,z \ u) \ (u / T(z,u))) = K(x,(u / T(z,u)) / y). [para(14260(a,1),14141(a,1,2,1))]. 14264 T(x,(y / T(z,y)) / T(u,z \ y)) = T(x,u \ (y / T(z,y))). [para(14260(a,1),14260(a,1,2,2))]. 14265 K((T(x,y) / y) / T(z,y \ x),u) = K(z \ (T(x,y) / y),u). [para(14262(a,1),12847(a,1,1,2))]. 14266 K(T(x,y \ z) \ (T(z,y) / y),u) = K((T(z,y) / y) / x,u). [para(14262(a,1),14136(a,1,1,1))]. 14267 K(x,(y * (z \ R(z,u,z))) \ w) = K(x,y \ w). [para(14250(a,1),6916(a,1))]. 14269 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(9490(a,1),14267(a,1,2,1))]. 14270 L(K(x,y \ z),z,a(u,w,u)) = K(x,y \ (a(u,w,u) * z)). [para(14269(a,1),6105(a,2))]. 14271 K(x,K(y * z,y) \ u) = K(x,K(z,y) \ u). [para(8413(a,1),14269(a,1,2,1))]. 14272 K(x,K(y * z,z) \ u) = K(x,K(y,z) \ u). [para(8425(a,1),14269(a,1,2,1))]. 14273 K(x,K(y \ z,y) \ u) = K(x,K(z,y) \ u). [para(14(a,1),14271(a,1,2,1,1)),flip(a)]. 14274 K(x,K(y,z \ y) \ u) = K(x,K(z,z \ y) \ u). [para(14(a,1),14272(a,1,2,1,1))]. 14275 K(x,K(y,z) \ ((y / z) \ u)) = K(x,(z \ y) \ u). [para(5340(a,1),14273(a,1,2)),flip(a)]. 14276 K(x,K(y,y \ z) \ u) = K(x,K(z,y) \ u). [para(14273(a,1),14096(a,1)),flip(a)]. 14277 K(x,K(y \ z,z) \ u) = K(x,K(z,y \ 1) \ u). [para(4795(a,1),14276(a,1,2,1)),flip(a)]. 14278 K(x,K(y,z \ y) \ u) = K(x,K(y,z) \ u). [para(14274(a,2),14276(a,1))]. 14279 K(x,K(y \ z,z) \ u) = K(x,K(z,y) \ u). [para(14278(a,1),14096(a,1)),flip(a)]. 14280 K(x,K(y,z \ 1) \ u) = K(x,K(y,z) \ u). [para(14277(a,1),14279(a,1))]. 14281 K(x,T(y,z \ 1) \ u) = K(x,K(y,z) \ (y \ u)). [para(4903(a,1),14280(a,1,2))]. 14282 K(x,K(y,z \ (u \ 1)) \ w) = K(x,K(y,u * z) \ w). [para(13413(a,1),14280(a,1,2,1))]. 14283 K(x,K(y \ 1,z) \ u) = K(x,K(z,y) \ u). [para(14280(a,1),14096(a,1)),flip(a)]. 14284 K(x,K(y \ 1,z * y) \ u) = K(x,K(z,y) \ u). [para(14283(a,2),14272(a,1))]. 14285 K(x,T(y,z \ 1) \ u) = K(x,T(y,z) \ u). [para(4903(a,1),14281(a,2,2))]. 14286 K(x,T(T((y \ 1) \ z,u),y) \ w) = K(x,T(z / (y \ 1),u) \ w). [para(14285(a,1),14105(a,1))]. 14287 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [para(14270(a,1),12599(a,1))]. 14288 K(x,y \ (z * R(u,w,u))) = K(x,y \ (z * u)). [para(9539(a,1),14287(a,1,2,2))]. 14289 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(3962(a,1),14288(a,1,2,2))]. 14290 K(x,y \ (z * T(u,u \ w))) = K(x,y \ (z * T(u,w))). [para(4013(a,1),14288(a,1,2,2,2))]. 14291 K(x,y \ (z * ((u \ w) \ w))) = K(x,y \ (z * T(u,w))). [para(6713(a,1),14288(a,1,2,2,2))]. 14292 K(x,y \ ((z \ u) * z)) = K(x,y \ T(u,z)). [para(14(a,1),14289(a,1,2,2,1)),flip(a)]. 14293 T(x,y \ (z * ((u \ w) \ w))) = (K(v5,v6) / x) \ (K(v6,v5) \ K(x,y \ (z * T(u,w)))). [para(14291(a,1),5844(a,1,2,2)),flip(a)]. 14294 K(x,y \ (z * T(u,u \ w))) = K(x,y \ (z * ((u \ w) \ w))). [para(14291(a,2),14290(a,2))]. 14295 K(x,y \ (T(z,T(z,u) \ w) * u)) = K(x,y \ (u * ((T(z,u) \ w) \ w))). [para(160(a,1),14294(a,1,2,2))]. 14296 K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). [para(14239(a,2),12439(a,1)),flip(a)]. 14297 K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). [para(4379(a,1),14296(a,1,1))]. 14298 K(((x * y) / x) / z,u) = K(T(y,x) / z,u). [para(14297(a,1),7554(a,1))]. 14299 K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). [para(14298(a,1),9577(a,2))]. 14300 K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). [para(14299(a,1),12846(a,1))]. 14301 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [para(14300(a,1),12847(a,1))]. 14302 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(4615(a,1),14301(a,1,1,2)),flip(a)]. 14303 K(x \ T(y \ z,y),u) = K(x \ (z / y),u). [para(4618(a,1),14301(a,1,1,2)),flip(a)]. 14304 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(14302(a,1),4801(a,1,2)),flip(a)]. 14305 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [para(14304(a,2),4801(a,1))]. 14306 K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). [para(3904(a,1),14305(a,1,2,2,1))]. 14307 K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). [para(4573(a,1),14305(a,1,2,2,1)),flip(a)]. 14308 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). [para(14307(a,1),6169(a,2))]. 14309 K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). [para(2686(a,2),14308(a,2,2,2))]. 14310 K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). [para(14306(a,1),14289(a,1)),flip(a)]. 14311 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(3863(a,1),14310(a,1,2,2)),flip(a)]. 14312 K(x,T(y / ((z \ u) * z),z \ u)) = K(x,u \ T(y,z)). [para(14311(a,1),13952(a,2))]. 14313 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [para(14311(a,1),14227(a,1))]. 14314 K(x,T(y * z,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(7283(a,1),14313(a,1,2,2,2))]. 14315 T(x,(y / z) * y) = T(x,y * (z \ y)). [para(4524(a,1),14259(a,1,2,2))]. 14316 K(x,y \ (T(z,z \ u) * w)) = K(x,y \ (w * ((T(z,w) \ u) \ u))). [para(7052(a,1),14295(a,1,2,2,1))]. 14318 K(x,y \ (T(z,z \ u) * w)) = K(x,y \ (w * T(T(z,w),u))). [para(14316(a,2),14291(a,1))]. 14319 K(x,y \ (T(z,z \ u) * w)) = K(x,y \ (T(z,u) * w)). [para(160(a,1),14318(a,2,2,2))]. 14320 L(K(x,(y \ z) \ (T(u,w) * v5)),y \ z,y) = K(x,z \ (y * (T(u,u \ w) * v5))). [para(14319(a,1),11221(a,1,1))]. 14321 K(x,y \ (z * (T(u,u \ w) * v5))) = K(x,y \ (z * (T(u,w) * v5))). [para(14320(a,1),11221(a,1))]. 14322 K(x,y \ (z * (((u \ T(w,u)) \ w) * v5))) = K(x,y \ (z * (T(T(u,w),w) * v5))). [para(3892(a,1),14321(a,1,2,2,2,1))]. 14323 T(x,y \ (z * ((u \ w) \ w))) = T(x,y \ (z * T(u,w))). [para(14293(a,2),5844(a,1))]. 14324 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(9817(a,1),14199(a,2,2))]. 14325 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(7692(a,1),14324(a,1,2))]. 14326 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(9114(a,1),14325(a,1,2)),flip(a)]. 14327 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [para(14326(a,2),7854(a,1))]. 14329 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [para(14327(a,1),14216(a,1)),flip(a)]. 14330 K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(3903(a,1),14329(a,1,2,2,1))]. 14331 K(x,(y * K(z \ 1,u)) \ K(u,K(y,z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(7116(a,1),14208(a,1,2,2,2))]. 14333 K(x,(y * K(z \ 1,u)) \ K(y,K(z,u))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(7378(a,2),14331(a,1,2,2))]. 14334 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). [para(7732(a,1),14333(a,1,2)),flip(a)]. 14335 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). [para(14334(a,2),5975(a,1))]. 14336 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). [para(6686(a,1),14335(a,1,2,1,1))]. 14337 K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). [para(14336(a,1),5975(a,1))]. 14340 K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). [para(14337(a,1),14214(a,2))]. 14341 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). [para(14340(a,1),14309(a,1))]. 14342 K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). [para(14341(a,1),14308(a,1))]. 14343 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(59(a,1),14342(a,1,2,2,2)),flip(a)]. 14344 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(7286(a,1),14343(a,1,2,2))]. 14345 K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(8016(a,1),14330(a,1,2,1))]. 14346 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(3903(a,1),14345(a,1,2,2,2,2))]. 14348 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(14346(a,1),14162(a,1)),flip(a)]. 14349 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(14262(a,1),14348(a,2,2))]. 14350 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [para(14349(a,1),14311(a,1)),flip(a)]. 14351 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(110(a,1),14314(a,1,2,1))]. 14352 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(14171(a,1),14351(a,1,2,2))]. 14353 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). [para(5131(a,1),14352(a,1,2,2,2,2))]. 14354 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(14143(a,1),14353(a,1,2,2))]. 14355 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(4597(a,2),14354(a,1,2,2,2))]. 14356 K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(14355(a,1),14127(a,1)),flip(a)]. 14357 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [para(14356(a,1),14185(a,1))]. 14358 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(7284(a,1),14357(a,1,2))]. 14359 K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). [para(14358(a,1),7865(a,1))]. 14360 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))). [para(4833(a,1),14359(a,1,2,1)),flip(a)]. 14361 K(x \ y,y \ (x * z)) \ K(K(x \ y,y \ (x * z)),T(y,u)) = (T(x * (((x \ y) \ z) \ z),K(y,u)) / y) \ 1. [para(10504(a,1),13964(a,1,2,1))]. 14362 K(L(x,y,z),T(u,w)) \ ((R(w,v5,v6) * T(u,w)) / T(u,w)) = (T(T(u,w),R(T(x,u),y,z)) * R(T(w,u),v5,v6)) / T(u,w). [para(119(a,1),14078(a,1,1,2))]. 14363 (T(T(x,y),R(T(y,x),z,u)) * R(T(y,x),w,v5)) / T(x,y) = K(L(y,z,u),x) \ ((R(y,w,v5) * T(x,y)) / T(x,y)). [para(6989(a,1),14362(a,1,1)),flip(a)]. 14364 (T(T(x,y),R(T(y,x),z,u)) * R(T(y,x),w,v5)) / T(x,y) = K(L(y,z,u),x) \ R(y,w,v5). [para(15(a,1),14363(a,2,2))]. 14366 (T(T(x,y),L(T(y,x),z,u)) * R(T(y,x),w,v5)) / T(x,y) = K(L(y,z,u),x) \ R(y,w,v5). [para(13874(a,1),14364(a,1,1,1))]. 14367 (T(T(x,L(y,z,u)),y) * R(T(y,x),w,v5)) / T(x,y) = K(L(y,z,u),x) \ R(y,w,v5). [para(3909(a,1),14366(a,1,1,1))]. 14368 (T(T(x,y),L(y,z,u)) * R(T(y,x),w,v5)) / T(x,y) = K(L(y,z,u),x) \ R(y,w,v5). [para(38(a,1),14367(a,1,1,1))]. 14369 K(L(x,y,z),u) \ R(x,y,z) = (T(u,x) * R(x,y,z)) / T(u,x). [para(13949(a,1),14368(a,1,1)),flip(a)]. 14370 K(L(x,y,z),u) \ R(x,y,z) = R(K(x,u) \ x,y,z). [para(14369(a,2),5266(a,1))]. 14371 R(K(x,y) \ x,y,z) = K(x,y) \ R(x,y,z). [para(10484(a,1),14370(a,1,1)),flip(a)]. 14372 K(x,y) \ R(x,y,z) = ((y * x) * z) / (y * z). [para(14371(a,1),4783(a,1))]. 14373 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))). [para(7690(a,1),14360(a,2,2,2))]. 14374 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))). [para(8121(a,1),14373(a,2,2,2))]. 14375 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))). [para(14374(a,2),14344(a,1))]. 14376 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z * u,u)) \ T(y,T(u,z))). [para(14375(a,2),14206(a,1))]. 14377 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))). [para(14376(a,2),14221(a,1))]. 14378 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(z,u) \ T(y,T(u,z))). [para(4597(a,2),14377(a,2,2,1))]. 14379 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(14378(a,2),14350(a,1))]. 14380 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(14(a,1),14379(a,1,2,1,2))]. 14381 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(6507(a,1),14380(a,1,2))]. 14382 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(12365(a,1),14381(a,1,2)),flip(a)]. 14383 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(15(a,1),14382(a,1,2,1)),flip(a)]. 14384 K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). [para(61(a,1),14382(a,1,2,2)),flip(a)]. 14385 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(15(a,1),14383(a,1,2,1)),flip(a)]. 14387 K(x,T(y,z \ u)) = K(x,T(y,u * z)). [para(14385(a,1),7860(a,1)),flip(a)]. 14388 K(x,T(y,z * (u \ z))) = K(x,T(y,T(u,z))). [para(14385(a,1),7865(a,1))]. 14390 K(x,T(y,z * u)) = K(x,T(y,u * z)). [para(14387(a,1),14385(a,1))]. 14392 (x * y) * K(z,T(u,y * x)) = K(z,u) * (x * y). [para(14390(a,1),6537(a,1,2))]. 14393 K(x / (y * z),T(u,z * y)) = K((y * z) \ x,u). [para(14390(a,1),6579(a,1))]. 14395 K(x,T(y,z / (1 / u))) = K(x,T(y,u * z)). [para(13516(a,2),14390(a,1,2))]. 14396 K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). [para(14315(a,1),14384(a,1,2))]. 14397 K(x / (y * K(z,u)),T(w,K(u,z) \ y)) = K((y * K(z,u)) \ x,w). [para(4906(a,2),14393(a,1,2,2))]. 14398 K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). [para(14396(a,1),14388(a,1)),flip(a)]. 14399 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(14398(a,1),11795(a,1,1))]. 14401 K(x,K(y,T(z,u))) = K(z,K(x,y)). [para(14399(a,1),10800(a,1)),flip(a)]. 14402 K(x,K(y,T(z,u))) = K(x,K(z,y)). [para(14401(a,2),7374(a,1))]. 14403 K(T(x,y),K(z,u)) = K(x,K(z,u)). [para(14401(a,1),7378(a,1)),flip(a)]. 14404 K(x,K(y,T(z,u))) = K(x,K(y,z)). [para(14401(a,2),7378(a,2)),flip(a)]. 14405 K(x,K(y,z)) \ T(x,u) = T(T(x,u),K(y,z)). [para(14401(a,1),7359(a,1,1))]. 14406 K(x,T(y,z)) * K(y,K(x,u)) = K(x,T(T(y,z),u)). [para(14401(a,1),7405(a,1,2))]. 14410 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [para(6555(a,1),14402(a,1,2))]. 14411 K(x,K(y,z)) * u = u * K(x,K(z,y)). [para(14402(a,1),6622(a,1,2)),flip(a)]. 14413 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [para(14402(a,1),7419(a,1))]. 14414 K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). [para(12375(a,2),14402(a,1,2))]. 14416 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(14403(a,1),6567(a,1,2)),flip(a)]. 14417 L(K(x,K(y,z)) \ u,K(T(x,y),K(y,z)),T(x,y)) = T(x,T(y,z)) \ (T(x,y) * u). [para(14403(a,1),7813(a,1,1,1))]. 14419 K(x,K(y / z,u)) = K(x,K(z \ y,u)). [para(6555(a,1),14404(a,1,2)),flip(a)]. 14420 K(K(x,y),T(z,u)) = K(x,K(y,z)). [para(14404(a,1),7351(a,2))]. 14423 K(x,y / T(z,u)) \ K(x,K(y,z)) = K(T(z,u) \ y,x). [para(14404(a,1),8168(a,1,2))]. 14424 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(7561(a,1),14404(a,1,2))]. 14426 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). [para(14404(a,1),7629(a,1)),flip(a)]. 14427 K(x,K(y * z,u)) = K(x,K(z * y,u)). [para(12346(a,1),14404(a,1,2))]. 14428 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(12373(a,1),14404(a,1,2))]. 14433 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [para(14420(a,1),7695(a,1,1))]. 14434 K(x \ y,y \ (x * z)) \ K(x \ y,K(y \ (x * z),y)) = (T(x * (((x \ y) \ z) \ z),K(y,u)) / y) \ 1. [para(14420(a,1),14361(a,1,2))]. 14435 K(x,K(y,z / u)) = K(x,K(y,z \ u)). [para(14410(a,1),7719(a,1))]. 14436 K(x,K(y,z)) * u = u * K(y,K(x,z)). [para(7378(a,1),14411(a,1,1))]. 14438 K(x,K(y,z \ u)) \ (u / z) = T(u / z,K(x,y)). [para(14413(a,1),7359(a,1,1))]. 14439 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). [para(14413(a,2),8161(a,2))]. 14440 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). [para(14413(a,2),8590(a,2))]. 14442 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). [para(14414(a,1),10461(a,1)),flip(a)]. 14443 T(x,K(y,K(z,u))) = x. [hyper(7445,a,14416,a)]. 14444 K(x,K(y,z)) \ (u * K(x,K(y,z))) = u. [hyper(71,a,14416,a)]. 14446 T(x,T(y,K(z,u))) = T(x,y). [hyper(17,a,9118,a(flip),b,14416,a)]. 14447 T(x,y / K(z,u)) = T(x,K(z,u) \ y). [hyper(17,a,7934,a(flip),b,14416,a)]. 14448 x * (y * K(x,K(z,u))) = T(x,K(z,u)) * y. [para(14416(a,1),4575(a,1,2))]. 14450 K(x,K(y,z)) \ u = u * K(x,K(y,z)). [para(14416(a,1),7421(a,2))]. 14451 K(x,K(y,z / u)) * w = w * K(x,K(y,u / z)). [para(7735(a,1),14416(a,1,1))]. 14452 (x \ y) * K(x,K(z,u)) = T(x,K(z,u)) \ y. [para(14416(a,1),7422(a,1))]. 14453 K(x,K(y,z)) * (u / x) = u / T(x,K(y,z)). [para(14416(a,2),7424(a,1))]. 14454 K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). [para(14416(a,2),8088(a,1))]. 14455 K(x,T(y,K(z,u))) = K(x,y). [hyper(8296,a,14443,a)]. 14456 K(x,K(y,K(z,u))) = 1. [hyper(36,a,14443,a)]. 14457 T(x,K(y,z)) * T(u,x) = u * T(x,K(y,z)). [para(14443(a,1),7794(a,1)),flip(a)]. 14459 T(x,K(y,z) * u) = T(x,u * K(y,z)). [para(14443(a,1),12368(a,1,1))]. 14460 K(x,K(K(y,z),u)) = 1. [para(5370(a,2),14456(a,1,2))]. 14463 ((x * (K(y,K(z,u)) * w)) * 1) / (w * K(y,K(z,u))) = L(x,K(y,K(z,u)) * w,K(w,K(y,K(z,u)))). [para(14456(a,1),14058(a,1,1,2))]. 14464 (K(x,y) * (z * K(u,K(w,v5)))) * a(x,z,1) = (K(x,y) * z) * K(u,K(w,v5)). [para(14460(a,1),13568(a,1,2,3))]. 14466 T(x,K(y,z) \ u) = T(x,u * K(z,y)). [para(6770(a,1),14446(a,1,2)),flip(a)]. 14468 (x * K(y,z)) * K(x,u) = T(x,u) * K(y,z). [para(14446(a,1),7664(a,1,1)),flip(a)]. 14469 T(x,T(y,T(z,u))) = T(x,T(y,z)). [para(7808(a,1),14446(a,1,2))]. 14470 T(K(x,y) * z,T(u,z)) = T(K(x,y) * z,u). [para(14446(a,1),7847(a,2))]. 14471 T(x,T(y,z / u)) = T(x,T(y,u \ z)). [para(9146(a,1),14446(a,1,2)),flip(a)]. 14474 T(x,T(y,z * u)) = T(x,T(y,u * z)). [para(12389(a,1),14446(a,1,2))]. 14476 K((x * K(y,z)) \ u,T(w,x)) = K(((K(y,z) \ u) * K(y,z)) / (K(y,z) * x),w). [para(14446(a,1),14073(a,1,2))]. 14477 K(x,T(y / (K(z,u) * w),w)) = K(x,(w * K(z,u)) \ T(y,K(z,u))). [para(14446(a,1),14075(a,1,2))]. 14478 K(x,y / K(z,u)) = K(x,K(z,u) \ y). [para(111(a,1),14455(a,1,2)),flip(a)]. 14479 K(x,T(y,L(K(z,u),w,v5))) = K(x,y). [para(5417(a,1),14455(a,1,2,2))]. 14481 K(T(x,K(y,z)),u) = K(x,u). [para(14455(a,1),6573(a,2))]. 14482 K(x,K(y,z) / u) = K(x,u \ K(y,z)). [para(14455(a,1),6533(a,1))]. 14484 K(x,y) \ (K(z,u) \ K(x,y)) = K(u,z). [para(14455(a,1),6544(a,2))]. 14485 K(x,y) \ K(z,u) = K(z,u) * K(y,x). [para(14455(a,1),6618(a,1,2)),flip(a)]. 14486 K(x,K(y,z) * u) = K(x,u * K(y,z)). [para(6696(a,1),14455(a,1,2)),flip(a)]. 14487 K(x,K(y,z) \ u) = K(x,u * K(z,y)). [para(6770(a,1),14455(a,1,2)),flip(a)]. 14489 L(K(x,y),x,z) = (x * K(u,w)) \ (T(x,y) * K(u,w)). [para(14455(a,1),6744(a,1,1))]. 14491 K(x,T(y,T(z,u))) = K(x,T(y,z)). [para(7808(a,1),14455(a,1,2))]. 14493 K(x,T(y,z) * T(u,y)) = K(x,u * T(y,z)). [para(7794(a,1),14455(a,1,2))]. 14496 K(x,T(K(y,z) \ u,w)) = K(x,T(u * K(z,y),w)). [para(7630(a,1),14455(a,1,2))]. 14498 K(x,y) * R(K(z,u),w,w \ K(x,y)) = (K(z,u) * w) * (w \ K(x,y)). [para(14455(a,1),7473(a,1,1,1)),flip(a)]. 14499 K(x,T(y,z / u)) = K(x,T(y,u \ z)). [para(9146(a,1),14455(a,1,2)),flip(a)]. 14502 K(x * T(y,z),T(u,y)) = K(T(y,z) * x,u). [para(14455(a,1),12359(a,1)),flip(a)]. 14503 K(x,y * z) \ K(x,K(y,z)) = K(z * y,x). [para(14455(a,1),12425(a,2))]. 14505 K(((x \ y) * x) / (K(z,u) * x),w) = K((x * K(z,u)) \ y,w). [para(14455(a,1),13914(a,1)),flip(a)]. 14506 K(x,y) \ T(T(x,K(z,u)),y) = T(x,K(z,u)). [para(14481(a,1),4676(a,1,1))]. 14507 K(K(x,y) \ z,u) = K(z * K(y,x),u). [para(6770(a,1),14481(a,1,1)),flip(a)]. 14510 T(x / T(y,T(z,u)),T(y,z)) = T(y,T(z,u)) \ x. [para(14469(a,1),111(a,1))]. 14513 K(T(x,y),z) \ T(z,T(u,x)) = T(T(z,u),T(x,y)). [para(14469(a,1),6781(a,1,2))]. 14514 K(x,T(y,z)) \ T(x,T(u,y)) = T(K(x,T(y,z)) \ x,u). [para(14469(a,1),8066(a,1,2))]. 14515 T(T(x,T(T(y,z),u)),T(z,y)) = T(x,T(T(y,z),u)) * K(x,z). [para(14469(a,1),7652(a,1))]. 14516 T(x,T(T(y,z) * u,y)) = T(x,u * T(y,z)). [para(14469(a,1),12365(a,1))]. 14517 T(x,T(y * T(z,u),z)) = T(x,T(z,u) * y). [para(14469(a,1),12397(a,1))]. 14519 K(x,T(y,z)) \ (x * T(y,T(z,u))) = T(y,T(z,u)) * x. [para(14491(a,1),4534(a,1,1))]. 14521 T(K(x,y),T(z,u)) = K(x,T(y,z)). [para(14491(a,1),6535(a,1)),flip(a)]. 14524 K(T(x,y) / z,T(u,x)) = K(z \ T(x,y),u). [para(14491(a,1),6555(a,1))]. 14525 T(x,y) * K(z,T(u,x)) = K(u,z) \ T(x,y). [para(14491(a,1),6618(a,1,2))]. 14528 K(x,T(y,z \ (u \ z))) = K(x,T(y,u)). [para(14491(a,1),7865(a,2))]. 14531 K(x,T(y * T(z,u),z)) = K(x,T(z,u) * y). [para(14491(a,1),12378(a,1))]. 14543 K(x,K(y * z,T(u,w))) = K(x,K(u,z * y)). [para(14427(a,1),14402(a,1))]. 14544 K(x,K(y,(z * u) * R(w,z,u))) = K(x,K(y,(w * z) * u)). [para(104(a,1),14428(a,1,2,2)),flip(a)]. 14545 K(x,K(y,z * u)) = K(y,K(x,u * z)). [para(14428(a,1),7374(a,1))]. 14546 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [para(14428(a,1),11961(a,1))]. 14547 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(28(a,2),14435(a,2,2,2))]. 14548 K(x,K(y,z)) \ (u / x) = u / T(x,K(y,z)). [para(5791(a,1),14444(a,1,2))]. 14549 T(x / y,K(z,x) \ y) = (K(x,z) \ (y / K(z,x))) \ x. [para(14447(a,1),14057(a,1))]. 14550 L(x \ (y * K(z,K(u,w))),x,K(z,K(u,w))) = (K(z,K(u,w)) * x) \ y. [para(14450(a,1),193(a,1,1,2))]. 14551 K(x,K(y,z)) \ (u * x) = u * T(x,K(y,z)). [para(14450(a,2),5779(a,1))]. 14552 K(x,K(y,z)) \ T(u,x) = x \ (u * T(x,K(y,z))). [para(14450(a,2),7020(a,2)),flip(a)]. 14553 ((K(x,K(y,z)) \ u) * w) / (K(x,K(y,z)) * w) = R(u,T(K(x,K(y,z)),w),T(w,K(x,K(y,z)))). [para(14450(a,2),7248(a,1,1,1))]. 14554 K(x,K(y,z)) \ (u * z) = u * T(z,K(x,y)). [para(14450(a,2),7400(a,1))]. 14555 K(x,K(y,z)) \ (u \ x) = u \ T(x,K(y,z)). [para(14450(a,2),12413(a,1))]. 14556 K(x,K(y,z)) \ (u \ 1) = u \ K(x,K(y,z)). [para(14450(a,2),13411(a,1))]. 14557 T(R(K(x,K(y,z)) \ u,K(z,K(x,y)),z),K(x,y) \ z) = z \ T(u * z,K(x,y)). [para(14450(a,2),14215(a,1,1,1))]. 14558 x / T(x,y * K(z,u)) = K(K(z,u) * y,x). [para(14459(a,1),4561(a,2,2)),flip(a)]. 14559 T(x,K(y,z) \ (u / y)) = T(x,u / T(y,z)). [para(6823(a,1),14466(a,2,2))]. 14560 T(x,(y * z) / T(z,u)) = T(x,K(z,u) \ y). [para(6835(a,2),14466(a,2,2)),flip(a)]. 14561 T(x,(y * (z * u)) / (u * z)) = T(x,K(u,z) \ y). [para(10309(a,2),14466(a,2,2)),flip(a)]. 14562 (x * K(y,z)) * L(T(u,K(z,y) \ x),x,K(y,z)) = (u * x) * K(y,z). [para(14466(a,2),14039(a,1,2,1))]. 14563 T(x,T(y,T(x,y) \ z)) * (z / T(x,y)) = x * (z / x). [para(14471(a,1),7662(a,1,1))]. 14564 T(x,y) \ T(T(x,z * u),T(y,u * z)) = K(x,z * u). [para(14474(a,1),7694(a,1,2))]. 14565 K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). [para(14482(a,2),13953(a,2))]. 14566 K(x,y) \ K(z,u) = K(u,z) \ K(y,x). [para(14484(a,1),4909(a,1,2))]. 14567 K(x,T(y,z)) \ K(u,w) = K(w,u) \ K(y,T(x,z)). [para(14484(a,1),6598(a,1,2))]. 14568 L(K(x,y),z,u) \ K(w,v5) = K(v5,w) \ K(L(y,z,u),x). [para(14484(a,1),11229(a,1,2))]. 14570 x \ (T(x,y) * K(z,u)) = K(u,z) \ K(x,y). [para(14485(a,2),4855(a,2))]. 14571 K(x,K(y,z) \ u) = K(x,u * K(y,z)). [para(14486(a,1),14092(a,2))]. 14572 K((x * K(y,z)) \ u,K(z,y) \ x) \ u = (x * K(y,z)) * (u / (x * K(y,z))). [para(14487(a,2),4822(a,1,1))]. 14573 K(x,K(y,z) \ (u / z)) = K(x,u / ((y * z) / y)). [para(5927(a,2),14487(a,2,2))]. 14574 K(x,K(y,z) \ (u / y)) = K(x,u / T(y,z)). [para(6823(a,1),14487(a,2,2))]. 14575 K(x,K(y \ z,y) \ (u * (y \ z))) = K(x,u * (z / y)). [para(6819(a,1),14487(a,2,2))]. 14576 K(x,K(y,K(z,u) \ w)) \ (w * K(u,z)) = T(w * K(u,z),K(x,y)). [para(14487(a,2),7359(a,1,1,2))]. 14577 K(x,K(y,y \ z) \ (u / z)) = K(x,u / (y * (z / y))). [para(10328(a,1),14487(a,2,2))]. 14578 K(x,K(y \ z,y) \ (u * z)) = K(x,u * (y * (z / y))). [para(10450(a,1),14487(a,2,2))]. 14579 T(x,K(y * z,K(z,y) \ (u * (z * y)))) = T(x,K(u,y * z)). [para(14487(a,2),10479(a,1,2))]. 14580 K(x,(y / z) \ T(y,u)) = K(x,K(u,y) \ z). [para(13489(a,2),14487(a,2,2)),flip(a)]. 14583 K(x,T((y / z) * u,z \ y)) = K(x,u * (y / z)). [para(14499(a,1),12373(a,1))]. 14584 K(L((x / y) \ z,x / y,y),u) = K((z * y) / x,T(u,y \ x)). [para(14499(a,1),13973(a,2))]. 14585 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [para(14499(a,2),13937(a,2))]. 14587 K((x / y) * T(y,z),u) = K(K(z,y) \ x,u). [para(5778(a,2),14507(a,2,1)),flip(a)]. 14588 K((x / (y / z)) * (z \ y),u) = K(K(z,z \ y) \ x,u). [para(6017(a,2),14507(a,2,1)),flip(a)]. 14589 K(K(x,y) \ (z / x),u) = K(z / T(x,y),u). [para(6823(a,1),14507(a,2,1))]. 14590 K(K(x,x \ y) \ (z / y),u) = K(z / (x * (y / x)),u). [para(10328(a,1),14507(a,2,1))]. 14592 K(x,K(y,z) \ (u * y)) = K(x,u * T(y,z)). [para(5779(a,1),14571(a,2,2))]. 14593 K(x,K(y,z) \ (u / z)) = K(x,u / T(z,y)). [para(6823(a,1),14571(a,2,2))]. 14594 K(x,K(y,z) \ T(u,y)) = K(x,y \ (u * T(y,z))). [para(7020(a,2),14571(a,2,2))]. 14595 T(x,K(y,z)) * (u / T(x,K(y,z))) = x * (u / x). [para(5791(a,1),14448(a,1,2)),flip(a)]. 14596 T(x,K(y,z)) * (u / x) = x * (u / T(x,K(y,z))). [para(7424(a,1),14448(a,1,2)),flip(a)]. 14597 L(x,y,1 / y) * K(y,K(z,u)) = (1 / y) * (T(y,K(z,u)) * x). [para(14448(a,1),8946(a,1,2)),flip(a)]. 14598 (T(x,y) \ z) * K(x,K(u,w)) = T(T(x,y),K(u,w)) \ z. [para(14403(a,1),14452(a,1,2))]. 14599 ((K(x,y) \ z) * K(x,y)) * T(u,z) = u * T(z,K(x,y)). [para(6703(a,2),14457(a,1,1))]. 14601 K(x,(T(y,z) \ (y * u)) * w) \ K(x,K(K(y,z) \ u,w)) = K(w * (T(y,z) \ (y * u)),x). [para(4966(a,1),14503(a,1,2,2))]. 14602 K(x,(y * z) * K(u,w)) \ K(x,K(L(y,z,K(u,w)),z * K(u,w))) = K((z * K(u,w)) * L(y,z,K(u,w)),x). [para(14036(a,1),14503(a,1,1,2))]. 14604 K(x,y / z) \ T(x,z \ y) = T(x,K(y,z)). [para(9142(a,1),14506(a,1,2))]. 14605 K(x,y \ z) \ T(x,z / y) = T(x,K(y,z)). [para(9144(a,1),14506(a,1,2))]. 14606 T(x \ (T(x,T(y,z)) * u),T(x,T(y,z)) * u) = T(K(y,T(x,z)) \ u,u * T(x,T(y,z))). [para(14516(a,1),6997(a,2))]. 14607 T(x,y \ (z * T(y,u))) = T(x,T(y,u) * (z / y)). [para(954(a,1),14517(a,1,2))]. 14608 K(x,y) \ K(z,T(u,y)) = y \ (K(u,z) \ T(y,x)). [para(14525(a,1),4964(a,1,2)),flip(a)]. 14609 K(x,y \ (z * T(y,u))) = K(x,T(y,u) * (z / y)). [para(954(a,1),14531(a,1,2))]. 14610 T(x,K(y,z)) \ (u * x) = x \ (u * T(x,K(y,z))). [para(14551(a,1),4902(a,1,2)),flip(a)]. 14611 K(x,K(y,z)) \ T(u,u \ 1) = (u \ 1) \ K(x,K(y,z)). [para(110(a,2),14556(a,1,2))]. 14612 T(x,K((y * z) \ y,z * y) \ (u / ((y * z) \ y))) = T(x,u / ((((y * z) \ y) \ y) \ y)). [para(12400(a,1),14559(a,2,2,2))]. 14613 K(x,T(y,z)) \ K(y,z) = y \ T(T(y,z),x). [para(4597(a,2),14570(a,1,2)),flip(a)]. 14614 K(x,y) \ K(y,T(x,z)) = y \ T(T(y,x),T(x,z)). [para(6575(a,1),14570(a,1,2)),flip(a)]. 14615 K(x,y) \ K(y,x) = y \ T(T(y,x),x). [para(4765(a,1),14613(a,1,1))]. 14616 K(x,T(y,z)) * K(u,K(y,L(x,w,v5))) = K(x,T(T(y,z),L(u,w,v5))). [para(8093(a,1),14406(a,1,2))]. 14617 K(x,K(y,z)) * K(x,T(y,u)) = K(x,T(T(y,u),z)). [para(14406(a,1),14436(a,2))]. 14618 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [para(6535(a,2),14433(a,2,2))]. 14619 K(x,K(y,K(z \ u,u \ (z * w)))) \ ((z * (((z \ u) \ w) \ w)) / u) = T((z * (((z \ u) \ w) \ w)) / u,K(x,y)). [para(10504(a,1),14438(a,1,1,2,2))]. 14620 x * K(y,K(z,u / w)) != v5 * x | K(y,K(z,w / u)) = v5. [para(14451(a,1),20(a,1))]. 14621 K(x,y \ (z * T(y,u))) = K(x,T(K(u,y) \ z,y)). [para(5783(a,2),14496(a,2,2)),flip(a)]. 14622 (x / T(y,T(z,u))) * T(y,z) = T(y,z) * (T(y,T(z,u)) \ x). [para(14510(a,1),109(a,1,2)),flip(a)]. 14623 K(x,T(y,z)) \ T(y,T(u,x)) = T(T(y,u),T(x,z)). [para(6573(a,1),14513(a,1,1))]. 14624 K(x / K(y,z),K(y,z)) \ T(u,x / K(y,z)) = (x / K(y,z)) \ (u * (K(y,z) \ x)). [para(111(a,1),14552(a,2,2,2))]. 14625 K(x,K(y,z)) \ T(u,z) = z \ (u * T(z,K(x,y))). [para(7378(a,2),14552(a,1,1))]. 14626 K(x,(y * z) \ (u * (z * y))) \ T(x,K(y,z) \ u) = T(x,K(y * z,u * (z * y))). [para(14561(a,1),14605(a,1,2))]. 14627 K(x,y / ((z * u) / z)) = K(x,y / T(u,z)). [para(14573(a,1),14593(a,1))]. 14628 K(x,y / T(z \ u,z)) = K(x,y / (u / z)). [para(14(a,1),14627(a,1,2,2,1)),flip(a)]. 14631 K(x,T((y \ z) \ ((z / y) * u),y \ z)) = K(x,((y \ z) \ u) * (z / y)). [para(919(a,2),14583(a,1,2,1))]. 14632 T(x,K(y,z)) * ((x * T(x \ u,w)) / T(x,K(y,z))) = x * T(u / x,w). [para(311(a,1),14595(a,2,2))]. 14633 x \ (x * (T(y,z) / T(x,K(y,z)))) = T(y,T(z,x)) / x. [para(14596(a,1),9426(a,1,2))]. 14634 x \ (K(y,z) \ T(x,x \ z)) = z \ (x * (T(z,y) / x)). [para(14608(a,1),13595(a,1))]. 14635 K(x,T(y,z)) \ K(z,u) = z \ (K(x,y) \ T(z,u)). [para(14608(a,1),14567(a,2))]. 14636 (K(x,y) \ z) \ (u * T(K(x,y) \ z,K(x,y))) = (z * K(y,x)) \ (u * (K(x,y) \ z)). [para(7440(a,1),14610(a,1,1)),flip(a)]. 14637 (x \ T(T(x,y),T(y,z))) \ (T(K(x,y),z) * T(x,x \ y)) = L(R(x,x \ y,x),K(x,y),T(K(x,y),z)). [para(14614(a,1),11126(a,1,1))]. 14638 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(14618(a,2),19(a,1))]. 14639 K(x,T(y,z)) \ T(y,u \ x) = T(T(y,x / u),T(x,z)). [para(6503(a,1),14623(a,1,2))]. 14640 x \ (K(y,z) \ T(x,x \ z)) = (x * (T(z,y) / x)) / z. [para(14635(a,1),12430(a,1))]. 14641 L(K(x,y * K(z,u)),x,w) = (x * K(v5,v6)) \ (T(x,K(z,u) * y) * K(v5,v6)). [para(14459(a,2),14489(a,2,2,1))]. 14642 K(x,(T(y,z) / z) / T(u,w)) \ K(x,K(z \ y,u)) = K(T(u,w) \ (T(y,z) / z),x). [para(12846(a,1),14423(a,1,2,2))]. 14643 K(x,T(y,z)) \ T(x,y * u) = T(K(x,T(y,z)) \ x,u * y). [para(12397(a,1),14514(a,1,2))]. 14644 K(x,T(y,z)) \ (T(x,T(z,u)) * y) = y * T(x,T(z,u)). [para(14519(a,1),6598(a,1,2))]. 14645 T(x / y,K(z,x) \ y) = (K(x,z) \ (y * K(x,z))) \ x. [para(6792(a,1),14549(a,2,1,2))]. 14646 T(x,T(y,x \ z)) * (z / T(x,y)) = x * (z / x). [para(7062(a,1),14563(a,1,1,2))]. 14647 T(x,T(y,z)) * (z / T(x,y)) = x * (z / x). [para(6773(a,1),14646(a,1,1))]. 14648 T(x,T(y,z)) \ (x * (z / x)) = z / T(x,y). [hyper(71,a,14647,a)]. 14649 T(x,y) \ (x * (z / x)) = z / T(x,T(y,z)). [para(7687(a,1),14648(a,1,1))]. 14650 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [para(14565(a,2),5099(a,1))]. 14652 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [para(14650(a,1),7708(a,1)),flip(a)]. 14653 K(x,y) \ K(L(x,z,u),y) = a(K(x,y),z,u). [para(14568(a,1),13480(a,1))]. 14654 K(x,y * T(z \ u,z)) = K(x,y * (u / z)). [para(14575(a,1),14592(a,1)),flip(a)]. 14655 K(x,T(y,z) * (u / y)) = K(x,(y \ u) * T(y,z)). [para(14654(a,1),14493(a,1))]. 14656 K(x,y \ (z * T(y,u))) = K(x,(y \ z) * T(y,u)). [para(14655(a,1),14609(a,2))]. 14657 K(x,K(y,z) \ (u / y)) = K(x,u / (z * (y / z))). [para(14577(a,1),14276(a,1)),flip(a)]. 14658 K(x,y / (z * (u / z))) = K(x,y / T(u,z)). [para(14657(a,1),14574(a,1))]. 14659 K(x,y / ((z \ 1) * (u / (1 / z)))) = K(x,y / T(u,z \ 1)). [para(14658(a,1),5335(a,2))]. 14660 K(x,K(y,z) \ (u * y)) = K(x,u * (z * (y / z))). [para(14578(a,1),14273(a,1)),flip(a)]. 14661 K(x,y * (z * (u / z))) = K(x,y * T(u,z)). [para(14660(a,1),14592(a,1))]. 14662 K(x,y * T(z * u,u)) = K(x,y * (u * z)). [para(15(a,1),14661(a,1,2,2,2)),flip(a)]. 14663 K(x,x * (y * z)) \ T(x,y * z) = R(x,T(z * y,y),x). [para(14662(a,1),12399(a,1,1))]. 14664 K((x / (y / z)) * (z \ y),u) = K(u,K(z,z \ y) \ x) \ 1. [para(14588(a,2),4796(a,2)),flip(a)]. 14665 T(x,K(y,z)) * (T(x,u) \ w) = x * (T(T(x,u),K(y,z)) \ w). [para(14598(a,1),14448(a,1,2)),flip(a)]. 14666 T(K(x,y),T(z,z \ 1)) / ((z \ 1) \ K(T(z,z \ 1),K(x,y))) = K(x,y) / T(z,z \ 1). [para(14611(a,1),6932(a,1,2))]. 14667 T(x,T(y,z)) / z = T(x,y) / T(z,K(x,y)). [para(14633(a,1),13(a,1))]. 14668 (x * (T(y,z) / x)) / y = y \ (x * (T(y,z) / x)). [para(14640(a,1),14634(a,1))]. 14669 T(x * T(y,z),y * x) = x * T(y,T(z,x)). [para(14644(a,1),12880(a,1)),flip(a)]. 14670 L(x * T(y,z),(x * T(y,z)) \ (y * x),x * T(y,z)) \ (y * x) = (y * x) / (x * T(y,T(z,x))). [para(14669(a,1),4099(a,2,2))]. 14671 T(x / y,K(z,x) \ y) = T(y,K(x,z)) \ x. [para(32(a,2),14645(a,2,1))]. 14672 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [para(14424(a,2),14413(a,2)),flip(a)]. 14673 (K(x,1 / K(y,z)) * u) * T(w,u) = w * (u * K(x,K(y,z))). [para(14454(a,1),14009(a,1)),flip(a)]. 14674 R(x,T(y * z,z),x) = R(x,z * y,x). [para(14663(a,1),5016(a,1))]. 14675 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(15(a,1),14672(a,1,2,2,1)),flip(a)]. 14676 K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). [para(8058(a,2),14672(a,1,2))]. 14677 K(x,T(L(K(y,z),u,w),v5)) = K(x,1 / L(K(y,z),u,w)). [para(5452(a,1),14426(a,2,2))]. 14679 K(x,T(L(K(y,z),u,w),v5)) = K(x,L(K(y,z),u,w)). [para(14677(a,2),8159(a,1))]. 14680 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,L(y,u,w))). [para(14679(a,2),8087(a,1))]. 14681 K((x * y) / (K(z,u) * y),w) = K((y * K(z,u)) \ (y * x),w). [para(13(a,1),14505(a,1,1,1,1))]. 14682 T(T(x,T(y,z)),T(T(z,y),u)) = T(x,T(T(z,y),u)) * K(x,y). [para(14515(a,1),38(a,1)),flip(a)]. 14684 K((x / (y / z)) * (z \ y),u) = K(u,K(y,z) \ x) \ 1. [para(14276(a,1),14664(a,2,1))]. 14685 K((x / (y / z)) * (z \ y),u) = K(K(y,z) \ x,u). [para(14684(a,2),4796(a,1))]. 14686 K(K(x,x \ y) \ z,u) = K(K(y,x) \ z,u). [para(14685(a,1),14588(a,1)),flip(a)]. 14687 K(K(x * y,y) \ z,u) = K(K(y,x) \ z,u). [para(4766(a,1),14686(a,1,1,1)),flip(a)]. 14688 K(K(x,y) \ (z / x),u) = K(z / (y * (x / y)),u). [para(14686(a,1),14590(a,1))]. 14689 K(x / (y * (z / y)),u) = K(x / T(z,y),u). [para(14688(a,1),14589(a,1))]. 14690 K(x,K(y,z)) * (K(u,x) * w) = x * (T(T(x,u),K(y,z)) \ w). [para(14665(a,1),4901(a,2))]. 14691 (K(x,K(y,z)) * u) * T(w,u) = w * (u * K(x,K(z,y))). [para(4801(a,1),14673(a,1,1,1,2))]. 14692 (K(x,K(y,z)) * u) * T(w,u) = w * (u * K(x,K(y,z))). [para(7395(a,1),14691(a,1,1,1))]. 14693 T(x / (y * K(z,K(u,w))),y) = (K(z,K(u,w)) * y) \ x. [hyper(17,a,192,a(flip),b,14692,a)]. 14694 T(x,y) \ (x * (y * K(z,K(u,w)))) = T(K(z,K(u,w)) * y,T(x,y)). [para(14692(a,1),32(a,2,2)),flip(a)]. 14695 T((x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))),w) = T(x,K(y,K(z,u)) * w). [para(14693(a,2),32(a,2)),flip(a)]. 14696 T(T(x,T(y,z)),T(T(z,y),u)) = K(x,T(T(z,y),u)) * T(x,y). [para(14682(a,2),4873(a,2)),flip(a)]. 14697 T(T(x,T(y,z)),T(T(z,y),u)) = T(T(x,y),T(z,u)). [para(14696(a,2),6733(a,1))]. 14698 T(x,T(y,z)) * K(x,T(z,u)) = T(T(x,y),T(z,u)). [para(14697(a,1),7651(a,1)),flip(a)]. 14699 K(T(x,y),z) \ T(z,T(y,u)) = T(T(z,x),T(y,u)). [para(14698(a,1),4991(a,2))]. 14700 K(x,T(y,z)) \ T(y,T(z,u)) = T(T(y,x),T(z,u)). [para(6573(a,1),14699(a,1,1))]. 14701 K((K(x,T(y,z)) * u) \ T(y,T(z,w)),T(v5,u)) = K((T(T(y,x),T(z,w)) * K(x,T(y,z))) / (u * K(x,T(y,z))),v5). [para(14700(a,1),13914(a,2,1,1,1))]. 14702 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [para(14439(a,2),7757(a,1))]. 14703 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [para(14702(a,1),14419(a,2))]. 14704 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(32(a,2),14703(a,1,2,1,1))]. 14705 K((x * (y / x)) \ (x * z),u) = K((z * x) / y,T(u,x \ y)). [para(97(a,1),14584(a,1,1))]. 14706 K((x * (y / x)) \ (x * z),y) = K(y \ (z * x),T(y,x \ y)). [para(14705(a,2),6646(a,1))]. 14707 K((x * (y / x)) \ (x * z),y) = K(y \ (z * x),T(y,x)). [para(14706(a,2),7861(a,1))]. 14708 K(x \ (y * z),T(x,z)) = K(x \ (z * y),x). [para(14707(a,1),6184(a,1))]. 14710 K((x \ y) \ (z * y),y / x) = K((x \ y) \ (y * z),x \ y). [para(14708(a,1),7537(a,1)),flip(a)]. 14711 K((x \ y) \ (z * y),y / x) = K(x * z,x \ y). [para(14710(a,2),12644(a,1))]. 14712 K(x \ ((y * x) * z),z \ x) = K(z * y,z \ x). [para(14711(a,1),14007(a,1)),flip(a)]. 14713 K(x,(y * K(z,u)) \ T(w * (K(z,u) * y),K(z,u))) = K(x,T(w,y)). [para(15(a,1),14477(a,1,2,1)),flip(a)]. 14716 K(x,T(T(y,z),L(z,u,w))) = K(x,y) * a(K(x,y),u,K(w,x * z)). [para(14616(a,1),13626(a,1))]. 14717 T(K(x,K(y,z)) * u,T(w,u)) = K(u,w) * (u * K(x,K(y,z))). [para(14694(a,1),4877(a,1))]. 14718 T(K(x,K(y,z)) * u,T(w,u)) = T(u,w) * K(x,K(y,z)). [para(14717(a,2),4627(a,1))]. 14719 T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)). [para(14718(a,1),14470(a,1)),flip(a)]. 14720 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [para(14416(a,1),14719(a,1,1))]. 14721 K(x,K(y,z)) \ T(u,w) = T(K(x,K(y,z)) \ u,w). [hyper(4384,a,14720,a)]. 14722 (x * (T(y,z) * K(u,K(w,v5)))) \ (x * (y * K(u,K(w,v5)))) = K(z,y * K(u,K(w,v5))). [para(14720(a,1),6814(a,1,1,2))]. 14724 (T(x,K(y,z)) * (K(x,K(y,z)) \ T(u,w))) / T(x,K(y,z)) = T((x * u) / T(x,K(y,z)),w). [para(14721(a,2),4961(a,1,1,2))]. 14725 K(x,K(y,z)) \ T(x * u,w) = T(T(x,K(y,z)) * u,w). [para(7423(a,1),14721(a,2,1))]. 14726 K(x,K(y,z)) \ (x * (T(u,w) / x)) = T(T(x,K(y,z)) * (u / x),w). [para(4343(a,1),14725(a,1,2))]. 14727 K(x,((K(y,z) \ u) * K(y,z)) \ T(w * u,K(y,z))) = K(x,T(w,K(y,z) \ u)). [para(14(a,1),14713(a,1,2,2,1,2))]. 14728 K(x,T(T(y,z),L(z,u,w))) = K(x,y) * a(x,u,K(K(w,x * z),y)). [para(13401(a,1),14716(a,2,2))]. 14729 K(x,T(T(y,z),L(z,u,w))) = K(x,y) * a(x,u,K(y,K(w,x * z))). [para(7396(a,1),14728(a,2,2,3))]. 14730 K(x,T(T(y,z),L(z,u,w))) = K(x,y) * a(y,u,K(w,K(x,z))). [para(13534(a,1),14729(a,2,2))]. 14731 K(x,T(T(y,z),L(z,u,w))) = K(x,y) * a(y,u,K(x,K(z,w))). [para(7378(a,2),14730(a,2,2,3))]. 14732 K(x,T(T(y,z),L(z,u,w))) = L(K(x,y),u,K(z,w)). [para(14731(a,2),13429(a,1))]. 14733 K(x,T(T(y,z),L(z,u,w))) = K(x,L(y,u,K(z,w))). [para(14732(a,2),11214(a,1))]. 14734 K(x,y) * R(K(z,K(u,w)),v5,v5 \ K(x,y)) = (K(w,K(z,u)) * v5) * (v5 \ K(x,y)). [para(7378(a,1),14498(a,2,1,1))]. 14735 K(x,((y / z) * u) / (z \ y)) = K(x,((z \ y) \ u) * (y / z)). [para(14631(a,1),7481(a,1)),flip(a)]. 14736 (K(x,y) * (z * K(u,K(w,v5)))) * 1 = (K(x,y) * z) * K(u,K(w,v5)). [para(266(a,1),14464(a,1,2))]. 14737 (K(x,y) * z) * K(u,K(w,v5)) = K(x,y) * (z * K(u,K(w,v5))). [hyper(75,a,14736,a),flip(a)]. 14739 K(x,K(y,z)) * (K(u,w) * v5) = K(u,w) * (v5 * K(y,K(x,z))). [para(14737(a,1),14436(a,2))]. 14742 K(x,y) * (z * K(u,K(y,w))) = y * (T(T(y,x),K(u,w)) \ z). [para(14739(a,1),14690(a,1))]. 14743 K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). [para(6558(a,1),14676(a,1,2))]. 14744 K(x,K(y,(z * u) / (z * (u / w)))) = K(x,K(w,L(y,u,z))). [para(14743(a,1),14680(a,1))]. 14746 K((x * K(y,z)) \ u,T(w,x)) = K((K(y,z) * (u / K(y,z))) / (K(y,z) * x),w). [para(7526(a,1),14476(a,2,1,1))]. 14749 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(z,u) \ y)). [para(6703(a,1),14727(a,1,2,1))]. 14750 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(u,z) * y)). [para(4906(a,1),14749(a,2,2,2))]. 14751 K((x * K(y,z)) \ u,T(w,x)) = K((K(z,y) \ (u / K(y,z))) / (K(y,z) * x),w). [para(4906(a,2),14746(a,2,1,1))]. 14752 K((x * K(y,z)) \ u,T(w,x)) = K((K(z,y) \ (u / K(y,z))) / (K(z,y) \ x),w). [para(4906(a,2),14751(a,2,1,2))]. 14753 K((x * K(y,z)) \ u,T(w,x)) = K(T(u,K(y,z)) / (K(z,y) \ x),w). [para(7683(a,1),14752(a,2,1,1))]. 14754 T(x,T(y,z)) \ (T(x,y) * u) = K(x,K(y,z)) \ u. [para(14417(a,1),4624(a,1))]. 14756 K(x,K(y,z)) \ (T(x,T(y,z)) * u) = T(x,y) * u. [para(14754(a,1),9120(a,1))]. 14757 T(x,y) * (T(x,T(y,z)) \ u) = K(x,K(y,z)) \ u. [para(14(a,1),14756(a,1,2)),flip(a)]. 14758 (x / T(y,T(z,u))) * T(y,z) = K(y,K(z,u)) \ x. [para(14757(a,1),14622(a,2))]. 14759 K(T(x,y) * (z / T(x,T(y,u))),w) = K(K(x,K(y,u)) \ z,T(w,x)). [para(14758(a,1),14502(a,1,1)),flip(a)]. 14760 T(K(x,K(y,z)) \ u,K(x,y) \ z) = z \ T(u * z,K(x,y)). [para(5775(a,1),14557(a,1,1))]. 14762 K(x,K(y,z)) \ T(u,K(x,y) \ z) = z \ T(u * z,K(x,y)). [para(14760(a,1),14721(a,2))]. 14763 K(x,y) * K(z,K(u,R(w,v5,v5 \ K(x,y)))) = (K(u,K(w,z)) * v5) * (v5 \ K(x,y)). [para(8555(a,1),14734(a,1,2))]. 14764 (K(x,K(y,z)) * u) * (u \ K(w,z)) = K(w,z) * K(z,K(x,y)). [para(11958(a,1),14763(a,1,2)),flip(a)]. 14765 (K(x,K(y,z)) * u) * (u \ K(y,z)) = T(K(y,z),x). [para(14764(a,2),7375(a,1))]. 14766 (K(x,K(y,z)) * u) * (u \ K(x,y)) = T(K(x,y),z). [para(7378(a,2),14765(a,1,1,1))]. 14767 T(K(x,y),z) / (u \ K(x,y)) = K(x,K(y,z)) * u. [hyper(78,a,14766,a)]. 14768 K(x,T(y,z)) / (u \ K(x,y)) = K(x,K(y,z)) * u. [para(6535(a,2),14767(a,1,1))]. 14769 K(x,K(y,z)) * (K(x,y) / u) = K(x,T(y,z)) / u. [para(61(a,1),14768(a,1,2)),flip(a)]. 14770 K(x,K(y,z)) * (K(x,T(y,z)) / u) = K(x,y) / u. [hyper(7414,a,14769,a)]. 14771 (K(x,T(y,z)) / u) * K(x,K(y,z)) = T(K(x,y) / u,K(x,K(y,z))). [para(14770(a,1),6696(a,1,1)),flip(a)]. 14772 (K(x,T(y,z)) / u) * K(x,K(y,z)) = T(K(x,y) / u,K(K(x,y),z)). [para(7351(a,2),14771(a,2,2))]. 14773 K(x,(K(y,z) / u) / (u \ 1)) = K(y,K(z,x)). [hyper(17,a,10114,a,b,14772,a),flip(a)]. 14774 K(x,(y \ 1) \ (y \ K(z,u))) = K(z,K(u,x)). [para(14773(a,1),12419(a,1)),flip(a)]. 14776 (x \ K(y,z)) \ (x \ K(y,T(z,u))) = K(y,K(z,u)). [para(14774(a,1),11661(a,2))]. 14777 (x \ K(y,z)) * K(y,K(z,u)) = x \ K(y,T(z,u)). [para(14776(a,1),14(a,1,2))]. 14779 K(x,K(y,z)) \ (u \ K(x,y)) = u \ K(x,T(y,z)). [para(14777(a,1),14450(a,2))]. 14780 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(5872(a,1),14585(a,1,2,2))]. 14781 (K(x,y) \ z) \ (u * (z * K(y,x))) = (z * K(y,x)) \ (u * (K(x,y) \ z)). [para(7440(a,1),14636(a,1,2,2))]. 14782 K(x,T(L(y,K(z,K(u,w)),v5),K(z,K(u,w)))) = K(x,y * K(z,K(u,w))). [para(14722(a,1),9034(a,1)),flip(a)]. 14783 K(x,L(y,K(z,K(u,w)),v5)) = K(x,y * K(z,K(u,w))). [para(14443(a,1),14782(a,1,2))]. 14784 K(x,y * K(z,K(u,w))) = K(x,y). [para(261(a,1),14783(a,1,2)),flip(a)]. 14787 K(x,y * T(z,K(u,w))) = K(x,y * z). [para(1087(a,1),14784(a,1,2))]. 14788 K(x,y \ T(z,K(u,w))) = K(x,y \ z). [para(1091(a,1),14784(a,1,2))]. 14789 K(x,T(y,K(z,u)) / w) = K(x,y / w). [para(1101(a,1),14784(a,1,2))]. 14790 K(x,y / T(z,K(u,w))) = K(x,y / z). [para(5791(a,1),14784(a,1,2)),flip(a)]. 14791 K(x,K(y,K(z,u)) * w) = K(x,w). [para(6567(a,1),14784(a,1,2))]. 14792 K(x,K(K(y,z),u) \ w) = K(x,w). [para(6641(a,1),14784(a,1,2))]. 14793 K(x,K(y,K(z,u)) \ w) = K(x,w). [para(14450(a,2),14784(a,1,2))]. 14794 K(x,T(y,K(z,u)) \ w) = K(x,y \ w). [para(14452(a,1),14784(a,1,2))]. 14795 ((K(x,K(y,z)) * u) * K(w,u)) * w = w * (K(x,K(y,z)) * u). [para(14791(a,1),4614(a,1,1,2))]. 14797 K(x,y * (K(z,u) \ w)) = K(x,y * (w * K(u,z))). [para(6770(a,1),14787(a,1,2,2)),flip(a)]. 14798 K((x * y) / x,z * u) = K(y,T(z * T(u,K(w,v5)),x)). [para(14787(a,1),7485(a,1))]. 14799 K(x,y \ (K(z,u) \ w)) = K(x,y \ (w * K(u,z))). [para(6770(a,1),14788(a,1,2,2)),flip(a)]. 14800 K(x,y \ (T(z,u) * T(w,z))) = K(x,y \ (w * T(z,u))). [para(7794(a,1),14788(a,1,2,2))]. 14801 K(x,y \ T(z,u / w)) = K(x,y \ T(z,w \ u)). [para(9146(a,1),14788(a,1,2,2)),flip(a)]. 14802 K(x,y / T(z,u / w)) = K(x,y / T(z,w \ u)). [para(9146(a,1),14790(a,1,2,2)),flip(a)]. 14803 K(x,(K(y,z) * (u / K(y,z))) \ w) = K(x,u \ w). [para(7631(a,2),14794(a,1,2,1))]. 14804 K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,(v5 * L(K(y,z),u,w)) \ v6). [para(11353(a,1),14794(a,1,2,1)),flip(a)]. 14805 K(x,y \ T(z * y,K(u,w))) = K(x,T(z,K(w,u) * y)). [para(14794(a,1),14750(a,1))]. 14806 K(x,y \ (K(z,u) \ (w / z))) = K(x,y \ (w / T(z,u))). [para(6823(a,1),14799(a,2,2,2))]. 14807 K(x,(y / z) \ T(u,z \ y)) = K(x,u / (y / z)). [para(14801(a,1),14142(a,1))]. 14809 K(x,(y / z) / T(u,z \ y)) = K(x,u \ (y / z)). [para(14802(a,1),14175(a,1))]. 14810 K(x,T(y * T(z,K(u,w)),v5)) = K(x,T(y * z,v5)). [para(14798(a,1),7485(a,1))]. 14811 K(x,T(y * z,K(u,w)) / y) = K(x,T(z,K(w,u) * y)). [para(14805(a,1),7559(a,2))]. 14813 K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w). [para(14811(a,1),14789(a,1))]. 14814 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [para(14813(a,2),7482(a,1))]. 14816 K(x,T(y,K(z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),14814(a,1,2,2)),flip(a)]. 14818 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [para(6640(a,1),14814(a,1,2,2))]. 14822 K(x,T(y,z * (K(u,w) * v5))) = K(x,T(y,z * v5)). [para(10641(a,1),14814(a,1,2,2)),flip(a)]. 14824 K(x,T(y,z / K(u,w))) = K(x,T(y,z)). [para(14447(a,2),14816(a,1,2))]. 14826 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(5842(a,1),14818(a,1,2,2))]. 14828 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(14818(a,1),7469(a,1,1))]. 14836 K(L(x * K(y,x),y,K(z,u)),T(w,y)) = K((y * K(z,u)) \ ((y * x) * K(z,u)),w). [para(14818(a,1),13887(a,1))]. 14837 T(x,T(y,z / K(u,w))) = x * K(x,T(y,z)). [para(14824(a,1),4597(a,2,2))]. 14838 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [para(14824(a,1),7859(a,1)),flip(a)]. 14839 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(14838(a,1),7469(a,1,1))]. 14840 T(x,T(y,z / K(u,w))) = T(x,T(y,z)). [para(14837(a,2),4597(a,2)),flip(a)]. 14841 T(x,T(y,K(z,u) \ w)) = T(x,T(y,w)). [para(6704(a,1),14840(a,1,2,2))]. 14842 T(x,T((K(y,z) \ u) \ w,u)) = T(x,w / (K(y,z) \ u)). [para(14841(a,1),7690(a,1))]. 14843 K(x,T(y,z * (K(u,w) * v5))) = K(x,y) * K(x,K(y,z * v5)). [para(14822(a,2),7355(a,2)),flip(a)]. 14845 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(14826(a,1),7355(a,2))]. 14847 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(3168(a,1),14828(a,1,1))]. 14848 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [para(14839(a,1),13927(a,1)),flip(a)]. 14849 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [para(14848(a,1),13935(a,2))]. 14850 (K(x,K(y,z)) * (u * K(w,u))) * w = w * (K(x,K(y,z)) * u). [para(6891(a,1),14795(a,1,1))]. 14851 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [hyper(7606,a,14843,a)]. 14852 K(x,K(y,z * (u * w))) = K(x,K(y,z * (w * u))). [para(4535(a,1),14851(a,1,2,2,2))]. 14853 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [para(4802(a,1),14851(a,1,2,2)),flip(a)]. 14856 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(5205(a,2),14851(a,1,2,2))]. 14857 K(x,K(y,z * (u * K(w,v5)))) = K(x,K(y,z * u)). [para(6640(a,1),14851(a,1,2,2,2))]. 14858 K(x,K(y,(z * u) * w)) = K(x,K(y,(u * z) * w)). [para(10888(a,1),14851(a,1,2,2))]. 14860 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [para(14851(a,1),14546(a,1)),flip(a)]. 14862 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(5791(a,1),14853(a,1,2,2)),flip(a)]. 14863 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(5927(a,2),14853(a,1,2,2))]. 14864 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [para(5842(a,1),14853(a,1,2,2))]. 14865 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(5929(a,2),14853(a,1,2,2))]. 14866 K(x,K(y,K(z,u) \ w)) = K(x,K(y,w)). [para(6618(a,1),14853(a,1,2,2))]. 14867 K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). [para(14853(a,1),7743(a,2))]. 14868 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(9190(a,1),14853(a,1,2,2)),flip(a)]. 14869 K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). [para(10311(a,1),14853(a,1,2,2))]. 14874 K(x,K(y,K(z,u) \ w)) = K(w,K(x,y)). [para(14866(a,2),7378(a,1))]. 14876 (K(x,y) \ z) \ (u * T(K(x,y) \ z,K(w,v5))) = K(w,K(v5,z)) \ T(u,K(x,y) \ z). [para(14866(a,1),14625(a,1,1)),flip(a)]. 14877 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [para(14867(a,2),7395(a,1))]. 14880 K(x,K(K(y,z) \ u,w)) = K(u,K(x,w)). [para(14874(a,1),7395(a,1)),flip(a)]. 14881 T(x,K(y,K(z,u) \ w)) = K(w,K(y,x)) \ x. [para(14874(a,1),7393(a,1,1)),flip(a)]. 14882 K(x,K(y,z)) \ (x * K(u,w)) = T(x * K(u,w),K(y,z)). [para(14874(a,1),14576(a,1,1))]. 14883 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [para(14877(a,1),7395(a,1)),flip(a)]. 14884 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [para(14877(a,1),7718(a,1))]. 14885 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [para(11256(a,1),14877(a,1,2))]. 14886 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). [para(14877(a,1),14440(a,2))]. 14889 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(1101(a,1),14884(a,1,2,1))]. 14892 K(x,K(y,L(z * K(u,w),v5,v6))) = K(x,K(z,L(y,v5,v6))). [para(14884(a,1),8090(a,1)),flip(a)]. 14894 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [para(14884(a,2),14883(a,2))]. 14895 T(x,K(y,K(z,u) \ w)) = K(y,K(w,x)) \ x. [para(7374(a,1),14881(a,2,1))]. 14896 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [para(14889(a,1),14704(a,1))]. 14897 T(x,K(y,K(z,u) \ w)) = T(x,K(y,w)). [para(14895(a,2),7359(a,1))]. 14900 T(x,K(y,T(z,u))) = T(x,K(y,z)). [para(4563(a,2),14897(a,1,2,2))]. 14902 T(x,K(y,z \ T(u,w))) = T(x,K(y,z \ u)). [para(5392(a,1),14897(a,1,2,2)),flip(a)]. 14903 T(x,K(y,z * K(u,w))) = T(x,K(y,z)). [para(7515(a,1),14897(a,1,2,2))]. 14904 T(x,K(y * z,u * (z * y))) = T(x,K(u,y * z)). [para(14897(a,1),14579(a,1))]. 14906 T(x,K(T(y,z),u)) = T(x,K(y,u)). [para(6573(a,2),14900(a,1,2))]. 14907 (K(x,T(y,z)) \ u) * K(x,T(y,z)) = T(u,K(x,y)). [para(14900(a,1),6703(a,2))]. 14909 T(x,K(y,T(z,u))) = T(x,K(z,y)). [para(14900(a,2),7431(a,1))]. 14910 T(T(x,y) * y,K(y,z)) = ((x * y) / x) * T(x,T((x * y) / x,z)). [para(14900(a,1),9702(a,1))]. 14911 T(x,y) * T(z,T(T(x,y),u)) = T(z * T(x,y),K(x,u)). [para(14906(a,1),6027(a,1)),flip(a)]. 14912 T(T(x,T(y,z)),K(y,u)) = T(x,T(T(y,u),z)). [para(14906(a,1),7811(a,1))]. 14913 T(T(x \ y,K(x,z)),K(x,u)) = T(y / x,T(T(x,z),u)). [para(14906(a,1),7840(a,1))]. 14914 x \ T(y * T(x,K(z,u)),K(u,T(z,w))) = T(y,K(T(z,w),u) * x). [para(14906(a,1),14082(a,1,2,1,2))]. 14915 T(x,K(y / z,u)) = T(x,K(u,z \ y)). [para(111(a,1),14909(a,1,2,2)),flip(a)]. 14916 T(x,y) * T(z,T(T(x,y),u)) = T(z,K(x,u)) * T(x,y). [para(14909(a,1),7828(a,1,1)),flip(a)]. 14917 T(K(x,y) * ((K(y,x) * z) * u),K(y,x)) = ((z * K(y,x)) * u) * K(x,T(y,z)). [para(14909(a,1),9307(a,1))]. 14919 x \ T(y * T(x,K(z,u)),K(z,u * K(w,v5))) = T(y,K(u * K(w,v5),z) * x). [para(14903(a,1),14080(a,1,2,1,2))]. 14920 T(T(x,y \ (y / z)),K(u,w \ (z \ w))) = T(x,(K(u,z \ 1) \ (z \ w)) / w). [para(14915(a,1),9720(a,1))]. 14921 T(K(x,(y \ ((z / y) \ 1)) \ 1) \ y,K(x,y \ ((z / y) \ 1))) = (z / y) \ T(z,x). [para(14915(a,1),10604(a,1))]. 14922 T(x,K(y,z \ (u / w))) = T(x,K(y,z \ (w \ u))). [para(111(a,1),14902(a,1,2,2,2)),flip(a)]. 14923 T(x,K(y \ T(z,u),w)) = T(x,K(w,y \ z)). [para(14902(a,1),7431(a,1)),flip(a)]. 14924 (x \ T(y,z)) \ T(u,K(x \ T(y,z),w)) = T((x \ T(y,z)) \ u,K(w,x \ y)). [para(14902(a,1),7806(a,2))]. 14925 T(T(x,T(y / z,u)),K(y / z,z)) = T(x,T(z \ y,u)). [para(111(a,1),14912(a,2,2,1))]. 14927 K(x,K(y,z * (u * (w * (v5 / w))))) = K(x,K(y,z * (u * v5))). [para(7339(a,1),14857(a,1,2,2,2))]. 14929 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,v5 * z)). [para(14857(a,1),14428(a,1)),flip(a)]. 14930 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(14864(a,2),8086(a,1,1))]. 14932 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(1101(a,1),14868(a,1,2,2,1))]. 14933 K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). [para(5284(a,1),14868(a,1,2,2,1))]. 14934 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(6998(a,1),14868(a,1,2,2,1))]. 14935 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [para(14869(a,1),7735(a,1)),flip(a)]. 14936 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(K(v5,v6) / y,y,v7))). [para(14894(a,1),8462(a,1))]. 14937 K(x,(y * z) \ (u * (z * y))) \ T(x,K(y,z) \ u) = T(x,K(u,y * z)). [para(14904(a,1),14626(a,2))]. 14940 K(x,K(y,z * T(u,w))) = K(x,K(y,u * z)). [para(4547(a,1),14929(a,1,2,2,1)),flip(a)]. 14941 K(x,K(y,(z / T(u,w)) * v5)) = K(x,K(y,v5 * (z / u))). [para(6823(a,1),14929(a,1,2,2,1))]. 14942 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [para(14935(a,2),7735(a,1))]. 14943 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = K(x,K(y,a(w,z,z \ u))). [para(659(a,1),14942(a,1,2,2)),flip(a)]. 14944 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [para(14942(a,1),14675(a,1))]. 14945 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [para(14860(a,2),14546(a,1))]. 14946 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(5298(a,1),14945(a,1,2,2,1))]. 14947 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,z / v5)). [para(6640(a,1),14945(a,1,2,2,1))]. 14948 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [para(14945(a,1),7735(a,1)),flip(a)]. 14949 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(14947(a,2),7735(a,1))]. 14950 K(x,K(y,z / (L(K(u,w),v5,v6) * v7))) = K(x,K(y,v7 / z)). [para(5417(a,1),14948(a,1,2,2,2,1))]. 14951 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(14949(a,1),14618(a,1,1))]. 14952 T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). [para(14882(a,1),7423(a,1))]. 14955 K(x,y) \ T(z,K(u,w)) = T(K(x,y) \ z,K(u,w)). [hyper(4384,a,14952,a)]. 14957 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [para(14885(a,2),8090(a,1))]. 14958 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [para(6537(a,1),14892(a,1,2,2,1))]. 14959 T(x \ T(y,K(x,z)),K(x,u)) = T(y / x,T(T(x,z),u)). [para(7802(a,2),14913(a,1,1))]. 14961 T(x * T(y,z),K(y,u)) = T(x,K(y,u)) * T(y,z). [para(14916(a,1),14911(a,1)),flip(a)]. 14962 T(x \ (x / y),K(x,z)) * T(x,y \ 1) = T(x / y,K(x,z)). [para(4887(a,1),14961(a,1,1)),flip(a)]. 14963 T(T(x,T(y / z,u)),K(z,z \ y)) = T(x,T(z \ y,u)). [para(14925(a,1),14915(a,1)),flip(a)]. 14964 K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,((u \ z) / w) * v5)). [para(111(a,1),14932(a,1,2,2,1,1)),flip(a)]. 14965 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(166(a,1),14932(a,1,2,2,1,1)),flip(a)]. 14966 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [para(14933(a,1),14428(a,1)),flip(a)]. 14967 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [para(14946(a,1),14935(a,1)),flip(a)]. 14968 x \ T(T(y,K(x,z)),K(x,u)) = T(y / x,T(T(x,z),u)). [para(14959(a,1),7802(a,2))]. 14969 T(T(x,T(y / z,u)),K(z,y)) = T(x,T(z \ y,u)). [para(14963(a,1),7615(a,1)),flip(a)]. 14970 T(T(x,K(y,z)),T(y \ z,u)) = T(x,T(z / y,u)). [para(14969(a,1),7444(a,1))]. 14971 T(T(x,K(y,z)),T(z \ y,u)) = T(x,T(y / z,u)). [para(7431(a,1),14970(a,1,1))]. 14972 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(111(a,1),14967(a,1,2,2,2,1)),flip(a)]. 14973 T(1 / x,T(T(x,y),z)) = x \ 1. [para(135(a,1),14968(a,1,2)),flip(a)]. 14974 T(1 / (x / y),T(y \ x,z)) = (x / y) \ 1. [para(111(a,1),14973(a,1,2,1))]. 14975 T(1 / (x / (x * y)),z \ (z / T(y,u))) = (x / (x * y)) \ 1. [para(14974(a,1),8833(a,1)),flip(a)]. 14976 K(x,K(T(R(y,K(z,u),w),K(z,u)),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). [para(7446(a,1),14896(a,1,2,1))]. 14977 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [para(14896(a,1),13617(a,1)),flip(a)]. 14979 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(13901(a,1),14950(a,1,2,2,2))]. 14980 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [para(14847(a,1),13948(a,1))]. 14981 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [para(14980(a,1),14849(a,1))]. 14982 K(x,L(K(y,z),K(u,w) / w,v5)) * K(K(y,z),x) = a(v5,K(u,w) / (K(z,y) * w),K(K(y,z),x)). [para(14981(a,2),9351(a,2,2))]. 14983 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(588(a,1),14934(a,1,2,2,1,1)),flip(a)]. 14984 (x \ (x / T(y,K(x,z)))) * T(x,y \ 1) = T(x / y,K(x,z)). [para(11340(a,2),14962(a,1,1))]. 14985 K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). [para(14964(a,1),14428(a,1))]. 14986 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [para(14965(a,1),14428(a,1)),flip(a)]. 14987 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [para(14979(a,2),7735(a,1))]. 14988 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [para(14987(a,1),14869(a,1)),flip(a)]. 14989 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (u * v6))). [para(14988(a,2),14869(a,1))]. 14990 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z / (u * (v5 \ w)))). [para(4593(a,1),14989(a,1,2,2,2,2))]. 14991 K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). [para(14886(a,1),14419(a,2))]. 14993 K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). [para(14991(a,1),13892(a,1))]. 14994 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). [para(14993(a,1),7395(a,1)),flip(a)]. 14995 K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). [para(14994(a,1),14442(a,1))]. 14996 K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). [para(61(a,1),14995(a,1,2,2,1,2))]. 14997 K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). [para(14996(a,1),11967(a,1))]. 14998 K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). [para(9290(a,1),14997(a,1,2)),flip(a)]. 14999 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [para(14998(a,1),7374(a,1)),flip(a)]. 15000 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [para(14999(a,2),7374(a,1))]. 15001 ((x * y) / x) * T(x,T((x * y) / x,z)) = y * T(T(x,y),T(y,z)). [para(14910(a,1),6027(a,1))]. 15003 T(x,K(T(y,z),u) * w) = w \ T(x * T(w,K(y,u)),K(y,u)). [para(14909(a,1),14914(a,1,2)),flip(a)]. 15004 T(x,K(T(y,z),u) * w) = T(x,K(u,y) * w). [para(15003(a,2),14080(a,1))]. 15006 T(x,K(y,T(z,u)) \ w) = T(x,K(y,z) * w). [para(4906(a,2),15004(a,1,2))]. 15007 T(x,K(y,T(z,u)) * w) = T(x,K(z,y) * w). [para(6573(a,1),15004(a,1,2,1))]. 15008 T(x,K(y,T(z,u)) \ w) = T(x,K(z,y) \ w). [para(4906(a,2),15006(a,2,2))]. 15009 L(K(x,y * K(z,T(u,w))),x,v5) = (x * K(v6,v7)) \ (T(x,K(u,z) * y) * K(v6,v7)). [para(15007(a,1),14641(a,2,2,1))]. 15010 T(x,K(y,z) \ u) = T(x,K(z,y) \ u). [para(108(a,1),15008(a,1,2,1,2))]. 15011 T(x,K(y,z) \ u) = T(x,u * K(y,z)). [para(7515(a,1),15008(a,1,2)),flip(a)]. 15012 T(x,y \ (T(y,z) * u)) = T(x,K(y,z) \ u). [para(4964(a,2),15010(a,1,2))]. 15013 T(x,K(y,T(z,u)) \ w) = T(x,K(y,z) \ w). [para(15010(a,1),15008(a,2))]. 15014 T(x,K(y,z) \ (u * y)) = T(x,u * T(y,z)). [para(5779(a,1),15011(a,2,2))]. 15015 T(x,K(y,z) \ T(u,y)) = T(x,y \ (u * T(y,z))). [para(7020(a,2),15011(a,2,2))]. 15016 T(x,K(y,z) \ (u \ 1)) = T(x,u \ K(y,z)). [para(13411(a,1),15011(a,2,2))]. 15017 T(x,y * K(z,u)) = T(x,y * K(u,z)). [para(15011(a,1),14466(a,1))]. 15018 x / T(x,y * K(z,u)) = K(y * K(u,z),x). [para(15017(a,1),4561(a,2,2)),flip(a)]. 15019 T(x,y \ (((y \ z) \ z) * u)) = T(x,K(y,y \ z) \ u). [para(110(a,1),15012(a,1,2,2,1))]. 15020 T(x / y,K(z,x) \ y) = ((x / y) \ T(x,z)) \ T(x,z). [para(15013(a,1),13596(a,1))]. 15021 K(x,x * (K(y,z) \ (u * y))) \ T(x,u * T(y,z)) = R(x,K(y,z) \ (u * y),x). [para(15014(a,1),5016(a,1,2))]. 15022 K(x,T(y,z)) / T(z,z \ K(y,x)) = z \ (z / (z * K(y,x))). [para(15016(a,1),9110(a,1,2))]. 15023 K(K(x,y) * z,u) = K(z * K(y,x),u). [para(15018(a,1),14558(a,1)),flip(a)]. 15024 K(K(x,y) \ z,u) = K(z * K(x,y),u). [para(4906(a,2),15023(a,1,1))]. 15025 K(K(x,y) \ (z / y),u) = K(z / T(y,x),u). [para(6823(a,1),15024(a,2,1))]. 15026 K(K(x,y) \ z,u) = K(K(y,x) \ z,u). [para(15024(a,2),14507(a,2))]. 15027 T(x,K(y,z) \ T(u,y)) = T(x,T(y,z) * (u / y)). [para(15015(a,2),14607(a,1))]. 15028 ((x / y) \ T(x,z)) \ T(x,z) = T(y,K(x,z)) \ x. [para(15020(a,1),14671(a,1))]. 15030 T(x,y) / (T(z,K(x,y)) \ x) = (x / z) \ T(x,y). [para(15028(a,1),59(a,1,2))]. 15031 (x / T(y,K(x,z))) \ T(x,z) = T(x,z) / (y \ x). [para(7437(a,1),15030(a,1,2,1)),flip(a)]. 15032 K(x,T(y,z)) / T(z,z \ K(y,x)) = z \ K(x,T(y,z)). [para(7589(a,1),15022(a,2,2))]. 15033 ((x * y) / x) * T(x,T((x * y) / x,z)) = T(x,T(y,z)) * y. [para(15001(a,2),160(a,1))]. 15034 ((x * y) / x) * T(x,(x * T(y,z)) / x) = T(x,T(y,z)) * y. [para(315(a,2),15033(a,1,2,2))]. 15035 ((x * y) / x) * T(x,T(y,z)) = T(x,T(y,z)) * y. [para(3850(a,1),15034(a,1,2))]. 15036 T(T((x * y) / x,z),T(x,T(y,u)) * ((x * y) / x)) = T(T((x * y) / x,T(x,T(y,u)) * y),z). [para(15035(a,1),3981(a,1,1,2)),flip(a)]. 15037 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [para(14936(a,2),14957(a,1))]. 15038 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [para(15037(a,2),8096(a,1))]. 15040 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [para(4755(a,1),15038(a,1,2))]. 15042 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(14638,a,14951,a),flip(a)]. 15043 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(6823(a,1),15042(a,1,2,2,1))]. 15044 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [para(15043(a,1),7859(a,1)),flip(a)]. 15045 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(111(a,1),15044(a,1,2,2,2,2)),flip(a)]. 15046 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(15044(a,1),4756(a,1,1)),flip(a)]. 15047 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [para(15044(a,1),11246(a,2))]. 15048 ((x * K(y,z)) * u) * K(z,T(y,x)) = ((K(y,z) * x) * u) * K(z,y). [para(14917(a,1),7439(a,1))]. 15050 ((K(x,y) * (K(x,y) \ z)) * T(u,z)) * K(y,x) = (u * T(z,K(x,y))) * K(y,T(x,K(x,y) \ z)). [para(14599(a,1),15048(a,1,1)),flip(a)]. 15051 T(x,K(y * K(z,u),w) * v5) = v5 \ T(x * T(v5,K(w,y)),K(w,y)). [para(14903(a,1),14919(a,1,2)),flip(a)]. 15052 T(x,K(y * K(z,u),w) * v5) = T(x,K(y,w) * v5). [para(15051(a,2),14080(a,1))]. 15055 T(T(x,y \ (y / z)),K(u,w \ (w / z))) = T(x,(K(u,z \ 1) \ (z \ w)) / w). [para(14920(a,1),14922(a,2))]. 15056 (x \ T(y,x)) \ T(y,K(x \ T(y,x),z)) = T(T(x,y),x \ T(y,z)). [para(14924(a,2),10942(a,1))]. 15057 (x \ T(y,x)) \ T(y,K(z,x \ y)) = T(T(x,y),x \ T(y,z)). [para(14923(a,1),15056(a,1,2))]. 15058 (x \ T(y,x)) \ T(y,K(x,z)) = T(T(x,y),x \ T(y,z)). [para(7772(a,1),15057(a,1,2))]. 15060 T(x,(K(y,z \ 1) \ (z \ u)) / u) = T(x,T(u \ (u / z),y)). [para(15055(a,1),7817(a,1))]. 15061 T(x,T((y \ z) / z,u)) = T(x,T(z \ (z / y),u)). [para(5469(a,1),15060(a,1,2))]. 15062 T(x,T((y \ z) / z,u)) = T(x,w \ (w / T(y,u))). [para(15061(a,2),8832(a,1))]. 15063 T(x,y \ (y / T(z / u,w))) = T(x,T(u / z,w)). [para(61(a,1),15062(a,1,2,1,1)),flip(a)]. 15065 T(1 / (x / (x * (y / z))),T(z / y,u)) = (x / (x * (y / z))) \ 1. [para(15063(a,1),14975(a,1))]. 15066 T(T(1 / (x / (x * (y / z))),K(z,y)),T(y \ z,u)) = (x / (x * (y / z))) \ 1. [para(15065(a,1),14971(a,2))]. 15067 T(1 / T(x / (x * (y / z)),K(z,y)),T(y \ z,u)) = (x / (x * (y / z))) \ 1. [para(7926(a,2),15066(a,1,1))]. 15068 L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = (x * K(v8,v9)) \ (T(x,K(u,z) * y) * K(v8,v9)). [para(15052(a,1),15009(a,2,2,1))]. 15069 K(x,K(y,z) \ (x * (u * y))) \ T(x,u * T(y,z)) = R(x,K(y,z) \ (u * y),x). [para(10565(a,2),15021(a,1,1))]. 15070 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(6131(a,1),14780(a,1,2)),flip(a)]. 15071 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [para(15070(a,2),13(a,1))]. 15072 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [para(15071(a,1),5311(a,1))]. 15073 K(((1 / (x \ y)) * ((z * (((y \ x) \ u) * (y \ x))) / (1 / (x \ y)))) \ u,w) = K(1 / z,T(w,u / (1 / (x \ y)))). [para(13290(a,1),15072(a,1,1,1,2,1,2))]. 15074 K(x,K(y,z)) \ T(u,K(x,y) \ z) = (K(x,y) \ z) \ (u * (z * K(y,x))). [para(7440(a,1),14876(a,1,2,2)),flip(a)]. 15075 (K(x,y) \ z) \ (u * (z * K(y,x))) = z \ T(u * z,K(x,y)). [para(15074(a,1),14762(a,1))]. 15076 (x * K(y,z)) \ (u * (K(z,y) \ x)) = x \ T(u * x,K(z,y)). [para(15075(a,1),14781(a,1)),flip(a)]. 15077 (x * K(y,z)) \ (u * (K(z,y) \ x)) = x \ T(u * x,K(y,z)). [para(7431(a,1),15076(a,2,2))]. 15078 T(K(x,(y \ ((z / y) \ 1)) \ 1) \ y,K(x,(z / y) * y)) = (z / y) \ T(z,x). [para(14921(a,1),12416(a,1)),flip(a)]. 15079 T(K(x,(y \ ((z / y) \ 1)) \ 1) \ y,K(x,z)) = (z / y) \ T(z,x). [para(16(a,1),15078(a,1,2,2))]. 15080 K(x,(y \ ((z / y) \ 1)) \ 1) \ T(y,K(x,z)) = (z / y) \ T(z,x). [para(15079(a,1),14955(a,2))]. 15081 ((K(x,(y \ ((z / y) \ 1)) \ 1) \ T(y,K(x,z))) \ T(y,K(x,z))) \ T(y,K(x,z)) = T((z / y) \ T(z,x),K(x,(y \ ((z / y) \ 1)) \ 1)). [para(15080(a,1),3858(a,1,1)),flip(a)]. 15082 T(x,K(y \ 1,y * z) \ (u / ((z * y) \ z))) = T(x,u / ((((z * y) \ z) \ z) \ z)). [para(5873(a,1),14612(a,1,2,1))]. 15084 K(x,T(y,z)) / ((z \ 1) \ K(T(z,z \ 1),K(x,y))) = K(x,y) / T(z,z \ 1). [para(14521(a,1),14666(a,1,1))]. 15085 K(x,T(y,z)) / ((z \ 1) \ K(x,K(T(z,z \ 1),y))) = K(x,y) / T(z,z \ 1). [para(7374(a,1),15084(a,1,2,2))]. 15087 K(x,T(y,z)) / ((z \ 1) \ K(x,K(z,y))) = K(x,y) / T(z,z \ 1). [para(2893(a,1),15085(a,1,2,2,2))]. 15088 (x * T(y,z)) / T(x,K(u,w)) = T((x * y) / T(x,K(u,w)),z). [para(4861(a,1),14724(a,1,1))]. 15089 (x * T(x \ y,z)) / T(x,K(u,w)) = T(y / T(x,K(u,w)),z). [para(14(a,1),15088(a,2,1,1))]. 15091 T(x,K(y,z)) * T(u / T(x,K(y,z)),w) = x * T(u / x,w). [para(15089(a,1),14632(a,1,2))]. 15092 K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). [para(13(a,1),14983(a,1,2,2,1,1)),flip(a)]. 15094 K(x,K(y,(z * u) * R(L(w / v5,v5,1 / v5),z,u))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [para(15092(a,1),14544(a,2))]. 15095 K(x,K(y,(z * u) * L(R(w / v5,z,u),v5,1 / v5))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [para(44(a,1),15094(a,1,2,2,2))]. 15096 L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = L(K(x,y * K(u,z)),x,v8). [para(15068(a,2),14641(a,2)),flip(a)]. 15097 L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = K(x,y * K(u,z)). [para(15096(a,2),261(a,1))]. 15098 L(K(x,y * K(z,u * K(w,v5))),x,v6) = K(x,y * K(u,z)). [para(108(a,1),15097(a,1,1,2,2,2))]. 15099 K(x,y * K(z,u * K(w,v5))) = K(x,y * K(u,z)). [para(15098(a,1),261(a,1)),flip(a)]. 15100 K(x,(y * K(z,u)) * K(y,w)) = K(x,T(y * K(z,u),w)). [para(15099(a,1),7483(a,1))]. 15102 K(x,T(y * K(z,u),w)) = K(x,T(y,w) * K(z,u)). [para(14468(a,1),15100(a,1,2)),flip(a)]. 15103 K(x,K(y,z) \ T(u,w)) = K(x,T(u * K(z,y),w)). [para(15102(a,2),14487(a,2))]. 15104 K(x,K(y,z) \ T(u / y,w)) = K(x,T(u / T(y,z),w)). [para(6823(a,1),15103(a,2,2,1))]. 15105 K(x,T((y / T(z,u)) * z,w)) = K(x,K(z,u) \ T(y,w)). [para(6842(a,2),15103(a,2,2,1)),flip(a)]. 15106 K(x,K(y,z) \ T(u,w)) = K(x,T(K(y,z) \ u,w)). [para(15103(a,2),14496(a,2)),flip(a)]. 15107 K(x,K(y,z) \ T(y \ u,w)) = K(x,T(T(y,z) \ u,w)). [para(4903(a,1),15106(a,2,2,1))]. 15108 K(x,T(y / T(z,K(u,w)),v5)) = K(x,T(y / z,v5)). [para(15104(a,1),14793(a,1))]. 15109 K(x,T(y / (T(z,u) * T(w,z)),v5)) = K(x,T(y / (w * T(z,u)),v5)). [para(7794(a,1),15108(a,1,2,1,2))]. 15110 K(x,T(T(y,K(z,u)) \ w,v5)) = K(x,T(y \ w,v5)). [para(15107(a,1),14793(a,1))]. 15111 K(x,T(y / (K(T(z,u),T(z,u) \ w) \ w),v5)) = K(x,T(y / (T(z,u) * T(T(z,u) \ w,z)),v5)). [para(4536(a,2),15109(a,2,2,1,2)),flip(a)]. 15112 K(x,K(y,L(z,K(u,w) / w,v5))) * K(K(z,y),x) = a(v5,K(u,w) / (K(y,z) * w),K(K(z,y),x)). [para(8087(a,1),14982(a,1,1))]. 15113 ((K(x,y) * (K(x,y) \ z)) * T(u,z)) * K(y,x) = (u * T(z,K(x,y))) * K(y,T(x,z)). [para(7059(a,1),15050(a,2,2,2))]. 15114 (x * T(y,K(z,u))) * K(u,T(z,y)) = (y * T(x,y)) * K(u,z). [para(14(a,1),15113(a,1,1,1)),flip(a)]. 15117 (x * T(y,K(z,u))) * K(u,T(z,y)) = (x * y) * K(u,z). [para(109(a,1),15114(a,2,1))]. 15119 (x * T(y,K(T(z,u),w))) * K(w,T(T(z,y),u)) = (x * y) * K(w,T(z,u)). [para(38(a,1),15117(a,1,2,2))]. 15120 K((x * T(y,K(z,u))) * K(u,T(z,y)),1 / K(u,T(z,y))) * L(K(u,T(z,y)) \ 1,K(u,T(z,y)),x * T(y,K(z,u))) = (x * T(y,K(z,u))) / ((x * y) * K(u,z)). [para(15117(a,1),5629(a,2,2))]. 15121 T(x * T(y,K(z,u)),K(u,T(z,y))) \ ((x * T(y,K(z,u))) / ((x * T(y,K(z,u))) / ((x * y) * K(u,z)))) = (x * T(y,K(z,u))) \ ((x * T(y,K(z,u))) / R(1 / K(u,T(z,y)),K(u,T(z,y)),x * T(y,K(z,u)))). [para(15117(a,1),10394(a,1,2,2,2))]. 15122 (x * T(y,K(z,u))) * K(u,T(T(z,y),w)) = (x * y) * K(u,T(z,w)). [para(14906(a,1),15119(a,1,1,2))]. 15124 K(x,T(y / (K(T(z,u),T(z,u) \ w) \ w),v5)) = K(x,T(y / ((z \ w) * z),v5)). [para(6766(a,1),15111(a,2,2,1,2))]. 15125 K(x,T(y / (K(z,T(T(z,u) \ w,u)) \ w),v5)) = K(x,T(y / ((z \ w) * z),v5)). [para(6573(a,1),15124(a,1,2,1,2,1))]. 15127 K(x,T(y / (K(z,z \ T(u,w)) \ u),v5)) = K(x,T(y / ((z \ u) * z),v5)). [para(10927(a,1),15125(a,1,2,1,2,1))]. 15129 (x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))) = L(x,K(y,K(z,u)) * w,K(w,K(y,K(z,u)))). [para(12(a,1),14463(a,1,1))]. 15130 (x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))) = x. [para(15129(a,2),10894(a,1))]. 15131 T(x,K(y,K(z,u)) * w) = T(x,w). [para(15130(a,1),14695(a,1,1)),flip(a)]. 15132 T(x,K(y,K(z,u)) \ w) = T(x,w). [para(14(a,1),15131(a,1,2)),flip(a)]. 15133 T(x,T(y,K(z,u)) \ w) = T(x,y \ w). [para(4870(a,1),15131(a,1,2)),flip(a)]. 15134 T(x,y * T(z,K(u,w))) = T(x,y * z). [para(5298(a,1),15131(a,1,2))]. 15135 T(x,y \ T(z,K(u,w))) = T(x,y \ z). [para(5300(a,1),15131(a,1,2))]. 15136 T(x,y * K(z,K(u,w))) = T(x,y). [para(6640(a,1),15131(a,1,2))]. 15137 T(x,T(y,T(z,u)) * w) = T(x,T(y,z) * w). [para(8343(a,1),15131(a,1,2))]. 15138 T(x,T(y,T(z,u)) / w) = T(x,T(y,z) / w). [para(13774(a,1),15131(a,1,2))]. 15139 T(x,y / T(z,K(u,w))) = T(x,y / z). [para(14453(a,1),15131(a,1,2))]. 15140 K(x * K(y,K(z,u)),w) = w / T(w,x). [para(15136(a,1),4561(a,2,2))]. 15141 (x \ (x / T(y,K(z,u)))) * T(x,y \ 1) = x / T(y,K(z,u)). [para(15133(a,1),4887(a,1,2))]. 15142 T(x,y * (K(z,u) \ w)) = T(x,y * (w * K(u,z))). [para(6770(a,1),15134(a,1,2,2)),flip(a)]. 15143 T(x,y * T(z,T(u,w))) = T(x,y * T(z,u)). [para(7808(a,1),15134(a,1,2,2))]. 15145 T(x,y \ T(z,T(u,w))) = T(x,y \ T(z,u)). [para(7808(a,1),15135(a,1,2,2))]. 15146 T(x,y / (K(z,u) \ w)) = T(x,y / (w * K(u,z))). [para(6770(a,1),15139(a,1,2,2)),flip(a)]. 15147 K(x * K(y,K(z,u)),w) = K(x,w). [para(15140(a,2),4561(a,2)),flip(a)]. 15148 K(x * T(y,K(z,u)),w) = K(x * y,w). [para(1087(a,1),15147(a,1,1))]. 15149 K(x \ T(y,K(z,u)),w) = K(x \ y,w). [para(1091(a,1),15147(a,1,1))]. 15150 K(T(x,K(y,z)) / u,w) = K(x / u,w). [para(1101(a,1),15147(a,1,1))]. 15151 K(x / T(y,K(z,u)),w) = K(x / y,w). [para(5791(a,1),15147(a,1,1)),flip(a)]. 15152 K(K(x,K(y,z)) * u,w) = K(u,w). [para(6567(a,1),15147(a,1,1))]. 15153 K(K(x,K(y,z)) \ u,w) = K(u,w). [para(14450(a,2),15147(a,1,1))]. 15154 K(T(x,K(y,z)) \ u,w) = K(x \ u,w). [para(14452(a,1),15147(a,1,1))]. 15156 K(T(x,T(y,z)) * u,w) = K(T(x,y) * u,w). [para(8343(a,1),15152(a,1,1))]. 15157 K((K(x,y) * z) \ u,w) = K((z * K(x,y)) \ u,w). [para(9116(a,1),15152(a,1,1)),flip(a)]. 15158 K(T(x,T(y,z)) / u,w) = K(T(x,y) / u,w). [para(13774(a,1),15152(a,1,1))]. 15159 K(T(x,y) * (z / T(x,T(y,u))),w) = K(z,T(w,x)). [para(15153(a,1),14759(a,2))]. 15160 K(x * T(y,T(z,u)),w) = K(x * T(y,z),w). [para(7808(a,1),15148(a,1,1,2))]. 15161 K(x \ (K(y,z) \ u),w) = K(x \ (u * K(z,y)),w). [para(6770(a,1),15149(a,1,1,2)),flip(a)]. 15162 K(x \ (T(y,z) * T(u,y)),w) = K(x \ (u * T(y,z)),w). [para(7794(a,1),15149(a,1,1,2))]. 15163 K((K(x,y) \ z) \ u,T(w,z)) = K(u / (z * K(y,x)),w). [para(15150(a,1),14016(a,2))]. 15164 K((x * K(y,z)) \ u,T(w,x)) = K(u / (K(z,y) \ x),w). [para(15150(a,1),14753(a,2))]. 15165 K(x / (K(y,z) \ u),w) = K(x / (u * K(z,y)),w). [para(6770(a,1),15151(a,1,1,2)),flip(a)]. 15166 K((K(x,K(y,z)) * u) / (x * u),w) = K(1 / x,w). [para(15151(a,1),7796(a,2))]. 15167 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / T(y * x,K(w,v5)),u). [para(15151(a,2),13914(a,2))]. 15168 K(T(x,T(y,z)) \ u,w) = K(T(x,y) \ u,w). [para(7808(a,1),15154(a,1,1,1))]. 15169 T(x,T(y,z) * T(z,u)) = T(x,T(z,u) * y). [para(15137(a,1),14100(a,1))]. 15170 T(T((x * y) / x,z),T(x,T(y,u)) * ((x * y) / x)) = T(T((x * y) / x,T(x,y) * y),z). [para(15137(a,1),15036(a,2,1))]. 15171 R(T(x / y,y * T(z,u)),y,T(z,T(u,w))) = (y * T(z,T(u,w))) \ (x * T(z,T(u,w))). [para(15143(a,1),635(a,1,1))]. 15172 T(T(x,y),z \ T(u,x)) = T(T(x,y),z \ u). [para(15145(a,1),7067(a,1))]. 15173 K(((T(x,T(y,z)) / u) / T(x,T(y,z))) * T(T(x,T(y,z)),u \ 1),w) = K(T(x,y) * ((T(x,T(y,z)) / u) / T(x,T(y,z))),w). [para(4889(a,2),15156(a,1,1))]. 15174 K(T(x * y,x) \ ((x * T(y,K(x,z))) * u),w) = K(K(x * T(y,K(x,z)),x) \ u,w). [para(15168(a,1),7935(a,1))]. 15175 K(T(x * y,y) \ ((x * T(y,K(x,z))) * u),w) = K(K(x * T(y,K(x,z)),y) \ u,w). [para(15168(a,1),8281(a,1))]. 15176 T(x,T(y,z) * (u / y)) = T(x,(y \ u) * T(y,z)). [para(111(a,1),15169(a,1,2,1)),flip(a)]. 15177 (x \ T(y,x)) \ (x \ (y * T(x,T(y,z)))) = T(T(x,T(y,z)),x \ y). [para(15172(a,1),4143(a,2))]. 15179 K(x \ (K(y,z) \ u),x) \ (u * K(z,y)) = x * ((u * K(z,y)) / x). [para(15161(a,2),4822(a,1,1))]. 15180 (1 / ((x * y) / (K(x,K(z,u)) * y))) * w = (w * K(1 / x,w)) * (1 / T(x,K(z,u))). [para(15166(a,1),7797(a,1,1,2)),flip(a)]. 15182 T(x,K(y,z) \ T(u,y)) = T(x,(y \ u) * T(y,z)). [para(15176(a,1),15027(a,2))]. 15183 T(x,K(y,z) \ T(y * u,y)) = T(x,u * T(y,z)). [para(13(a,1),15182(a,2,2,1))]. 15184 K(x \ (((y \ z) \ z) * T(u,y)),w) = K(x \ (u * T(y,y \ z)),w). [para(110(a,1),15162(a,1,1,2,1))]. 15185 K(L((K(x,y) \ z) / u,u,K(x,y)),w) = K(z / (u * K(x,y)),w). [para(15163(a,1),8192(a,2))]. 15188 x / T(y,K(x,z)) = T(x / y,K(x,z)). [para(15141(a,1),14984(a,1))]. 15189 T(1 / (x / T(x * (y / x),K(x,y))),T(y \ x,z)) = (x / (x * (y / x))) \ 1. [para(15188(a,2),15067(a,1,1,2))]. 15190 K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K((x * L(K(z,u),w,v5)) \ y,v8). [para(15167(a,1),14479(a,1))]. 15191 (x \ T(y,x)) \ T(y,K(x,z)) = T(T(x,T(y,z)),x \ y). [para(8277(a,1),15177(a,1,2))]. 15192 T(T(x,T(y,z)),x \ y) = T(T(x,y),x \ T(y,z)). [para(15191(a,1),15058(a,1))]. 15193 T(T(x,x \ y),T(y,z)) = T(T(x,y),x \ T(y,z)). [para(15192(a,1),38(a,1)),flip(a)]. 15194 T(1 / (x / (x * (y / x))),T(y \ x,z)) = (x / (x * (y / x))) \ 1. [para(4357(a,1),15189(a,1,1,2,2))]. 15198 (L(x,y,1 / y) / (1 / y)) * (1 / T(y,K(z,u))) = (1 / ((y * w) / (K(y,K(z,u)) * w))) * (y * x). [para(4720(a,1),15180(a,2,1)),flip(a)]. 15200 T(T((x * y) / x,z),T(x,T(y,u)) * ((x * y) / x)) = T(T((x * y) / x,y * x),z). [para(14100(a,1),15170(a,2,1))]. 15202 T(T((x * y) / x,z),T(x,T(y,u)) * ((x * y) / x)) = T(L(y,x,y),z). [para(507(a,1),15200(a,2,1))]. 15203 T(T((x * y) / x,z),T(x,T(y,u)) * ((x * y) / x)) = L(T(y,z),x,y). [para(15202(a,2),40(a,2)),flip(a)]. 15204 T((x * T(y,z)) / x,T(x,T(y,u)) * ((x * y) / x)) = L(T(y,z),x,y). [para(315(a,2),15203(a,1,1))]. 15205 T((x * T(y,z)) / x,K(x,T(y,u)) \ T(x * y,x)) = L(T(y,z),x,y). [para(15204(a,1),15027(a,2))]. 15206 T((x * T(y,z)) / x,y * T(x,T(y,u))) = L(T(y,z),x,y). [para(15205(a,1),15183(a,1)),flip(a)]. 15207 T((x * T(y,T(x,z))) / y,x * T(y,T(x,u))) = L(T(x,K(y,z)),y,x). [para(8278(a,2),15206(a,1,1,1))]. 15208 T((x / y) * T(y,T(x,z)),x * T(y,T(x,u))) = L(T(x,K(y,z)),y,x). [para(943(a,1),15207(a,1,1))]. 15209 T(K(x,T(y,z)) \ x,x * T(y,T(x,u))) = L(T(x,K(y,z)),y,x). [para(6748(a,1),15208(a,1,1))]. 15210 T(x \ (T(x,T(y,z)) * y),T(x,T(y,z)) * y) = L(T(y,K(x,z)),x,y). [para(15209(a,1),14606(a,2))]. 15211 T(K(x,T(y,z)) \ x,T(y,T(x,z)) * x) = L(T(x,K(y,z)),y,x). [para(6601(a,1),15210(a,1,1))]. 15212 T(K(x,T(y,z)) \ x,T(y,x) * x) = L(T(x,K(y,z)),y,x). [para(15211(a,1),15137(a,1)),flip(a)]. 15213 T(K(x,T(y,z)) \ x,x * y) = L(T(x,K(y,z)),y,x). [para(15212(a,1),14100(a,1)),flip(a)]. 15215 K(x,T(y,z)) \ T(x,y * x) = L(T(x,K(y,z)),y,x). [para(15213(a,1),14643(a,2))]. 15216 (T(x,y) * z) \ (x * (z * T(x,y))) = L(T(x,K(z,y)),z,x). [para(15215(a,1),10998(a,2))]. 15217 (T(x,y) * z) \ (x * (z * T(x,y))) = L(T(x,K(y,z)),z,x). [para(7431(a,1),15216(a,2,1))]. 15218 T(x,K(T(x,y) * (z * L(z \ 1,u,w)),y)) = L(T(x,K(y,z * L(z \ 1,u,w))),z * L(z \ 1,u,w),x). [para(15217(a,1),13128(a,1)),flip(a)]. 15219 L(x * T(y,z),T(y,z) \ (x \ (y * x)),x * T(y,z)) \ (y * x) = (y * x) / (x * T(y,T(z,x))). [para(13073(a,1),14670(a,1,1))]. 15220 (L(x,y,1 / y) / (1 / y)) * T(1 / y,K(z,u)) = (1 / ((y * w) / (K(y,K(z,u)) * w))) * (y * x). [para(7926(a,1),15198(a,1,2))]. 15221 L(x * T(y,z),T(y,z) \ T(y,x),x * T(y,z)) \ (y * x) = (y * x) / (x * T(y,T(z,x))). [para(32(a,2),15219(a,1,1,2,2))]. 15222 L(x * T(y,z),K(y,z) \ K(y,x),x * T(y,z)) \ (y * x) = (y * x) / (x * T(y,T(z,x))). [para(4962(a,2),15221(a,1,1,2))]. 15223 (1 / ((x * y) / (K(x,K(z,u)) * y))) * (x * w) = L(w,x,1 / x) * K(1 / x,K(z,u)). [para(15220(a,1),5778(a,1))]. 15224 (1 / ((x * y) / (K(x,K(z,u)) * y))) * (x * w) = L(w,x,1 / x) * K(x,K(z,u)). [para(7742(a,1),15223(a,2,2))]. 15225 L(x,y,1 / y) * K(y,K(z,u)) = (1 / T(y,K(z,u))) * (y * x). [para(7450(a,1),15224(a,1,1,2)),flip(a)]. 15226 L(x,y,1 / y) * K(y,K(z,u)) = T(1 / y,K(z,u)) * (y * x). [para(7926(a,1),15225(a,2,1))]. 15227 T(1 / x,K(y,z)) * (x * u) = (1 / x) * (T(x,K(y,z)) * u). [para(15226(a,1),14597(a,1))]. 15228 (x \ T(T(x,y),T(y,z))) \ (K(x,T(y,z)) * T(x,x \ y)) = L(R(x,x \ y,x),K(x,y),T(K(x,y),z)). [para(6535(a,2),14637(a,1,2,1))]. 15229 (x \ T(T(x,y),T(y,z))) \ (K(y,T(x,z)) \ T(x,x \ y)) = L(R(x,x \ y,x),K(x,y),T(K(x,y),z)). [para(6597(a,2),15228(a,1,2))]. 15230 L(R(x,x \ y,x),K(x,y),T(K(x,y),z)) = (x \ T(T(x,y),T(y,z))) \ T(T(x,y / x),T(y,z)). [para(14639(a,1),15229(a,1,2)),flip(a)]. 15231 L(R(x,x \ y,x),K(x,y),T(K(x,y),z)) = (x \ T(T(x,y),T(y,z))) \ T(T(x,x \ y),T(y,z)). [para(3849(a,1),15230(a,2,2,1))]. 15232 L(R(x,x \ y,x),K(x,y),T(K(x,y),z)) = (x \ T(T(x,y),T(y,z))) \ T(T(x,y),x \ T(y,z)). [para(15193(a,1),15231(a,2,2))]. 15233 K(x \ y,y \ (x * z)) \ K(y,K(x \ y,y \ (x * z))) = (T(x * (((x \ y) \ z) \ z),K(y,u)) / y) \ 1. [para(7378(a,1),14434(a,1,2))]. 15235 K(x,K(y,z) \ (u * w)) \ K(x,K(L(u,w,K(z,y)),w * K(z,y))) = K((w * K(z,y)) * L(u,w,K(z,y)),x). [para(14487(a,2),14602(a,1,1))]. 15236 K(x \ y,y \ (x * z)) \ K(y,K(x * z,x \ y)) = (T(x * (((x \ y) \ z) \ z),K(y,u)) / y) \ 1. [para(7523(a,1),15233(a,1,2))]. 15237 K(x \ y,y \ (x * z)) \ K(y,K(x * z,x)) = (T(x * (((x \ y) \ z) \ z),K(y,u)) / y) \ 1. [para(7755(a,1),15236(a,1,2))]. 15238 K(x \ y,y \ (x * z)) \ K(x,K(z,y)) = (T(x * (((x \ y) \ z) \ z),K(y,u)) / y) \ 1. [para(7457(a,1),15237(a,1,2))]. 15239 K(x \ y,y \ (x * z)) \ K(x,K(y,z)) = (T(x * (((x \ y) \ z) \ z),K(y,u)) / y) \ 1. [para(7395(a,1),15238(a,1,2))]. 15240 K(x \ y,y \ (x * z)) \ K(x,K(y,z)) = ((x * (((x \ y) \ z) \ z)) / y) \ 1. [para(1924(a,1),15239(a,2,1,1))]. 15241 K(x,K(y,z) \ (u * w)) \ K(x,K(L(u,w,K(z,y)),K(y,z) \ w)) = K((w * K(z,y)) * L(u,w,K(z,y)),x). [para(14487(a,2),15235(a,1,2,2))]. 15242 T((x * (((x \ y) \ z) \ z)) / y,K(u,w)) = 1 \ ((x * (((x \ y) \ z) \ z)) / y). [para(14456(a,1),14619(a,1,1)),flip(a)]. 15243 T((x * (((x \ y) \ z) \ z)) / y,K(u,w)) = (x * (((x \ y) \ z) \ z)) / y. [hyper(197,a,15242,a(flip)),flip(a)]. 15245 K((K(T(x,y),z) \ u) \ T(x,T(y,w)),T(v5,u)) = K((T(T(x,z),T(y,w)) * K(z,T(x,y))) / (u * K(z,T(x,y))),v5). [para(4906(a,2),14701(a,1,1,1))]. 15246 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(13309(a,1),15073(a,1,1,1))]. 15247 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [para(15246(a,1),15072(a,1))]. 15248 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [para(15247(a,2),14826(a,2)),flip(a)]. 15249 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [para(15248(a,1),15045(a,2))]. 15250 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [para(15249(a,1),14395(a,1))]. 15251 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(15250(a,1),15046(a,2,1))]. 15252 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [para(15251(a,2),4756(a,1))]. 15253 T(T(1 / (1 / L(x,y,z)),T(u,(w / v5) * v6)),1 / x) = T(L(x,y,z),T(u,v6 / (v5 / T(w,v7)))). [para(15252(a,1),3277(a,1,1))]. 15254 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [para(15253(a,1),3277(a,1))]. 15255 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = (T(L(v5,v6,v7),T(x,(u / z) * y)) \ 1) * L((v5 \ 1) \ 1,v6,v7). [para(15254(a,1),13724(a,1,1,1)),flip(a)]. 15256 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [para(15255(a,2),13724(a,1))]. 15257 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [para(15256(a,2),6573(a,1))]. 15258 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [para(15257(a,1),6573(a,1)),flip(a)]. 15259 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [para(108(a,1),15258(a,1,2,2,2,2))]. 15260 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [para(15259(a,1),15047(a,1))]. 15261 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [para(263(a,1),15260(a,1,2,1))]. 15262 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(108(a,1),15261(a,1,2,2,1,1)),flip(a)]. 15264 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [para(15262(a,1),14826(a,1)),flip(a)]. 15266 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [para(15264(a,2),7355(a,2))]. 15267 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(17,a,14845,a,b,15266,a),flip(a)]. 15268 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [para(15267(a,1),7735(a,1)),flip(a)]. 15269 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [para(15267(a,1),14863(a,1))]. 15270 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [para(15267(a,1),14865(a,1))]. 15271 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(15267(a,1),14930(a,1,1))]. 15272 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [para(15269(a,1),14428(a,1)),flip(a)]. 15273 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(14(a,1),15272(a,1,2,2,2,2)),flip(a)]. 15274 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [para(15271(a,1),8086(a,1))]. 15275 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(61(a,1),15274(a,1,2,1,2)),flip(a)]. 15276 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [para(15274(a,1),14977(a,1))]. 15277 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [para(15275(a,1),14427(a,1)),flip(a)]. 15278 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(14(a,1),15276(a,2,2,2,2))]. 15279 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [para(15278(a,2),14942(a,1))]. 15280 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(13524(a,1),15279(a,1,2))]. 15281 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [para(15279(a,1),15277(a,1)),flip(a)]. 15282 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(3608(a,2),15281(a,2,2,2,1))]. 15283 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [para(15281(a,1),15280(a,1))]. 15284 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(13525(a,1),15282(a,1,2))]. 15285 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [para(15284(a,1),15279(a,1))]. 15286 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [para(15285(a,1),15268(a,1)),flip(a)]. 15287 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [para(15286(a,1),14941(a,1)),flip(a)]. 15289 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [para(15287(a,1),14985(a,2))]. 15290 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [para(15287(a,1),14986(a,1))]. 15291 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [para(15289(a,1),14965(a,2))]. 15292 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [para(15290(a,1),14547(a,1))]. 15293 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [para(15290(a,1),14935(a,1)),flip(a)]. 15294 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [para(15290(a,1),15283(a,2))]. 15295 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(10773(a,1),15293(a,1,2))]. 15296 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(13671(a,1),15293(a,1,2,2,2,1)),flip(a)]. 15297 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [para(15293(a,1),13976(a,2))]. 15298 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [para(15294(a,1),14935(a,1)),flip(a)]. 15299 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [para(15297(a,1),13618(a,1)),flip(a)]. 15300 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(14652(a,1),15295(a,1,2)),flip(a)]. 15301 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [para(15296(a,2),15298(a,1))]. 15303 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [para(15301(a,1),15291(a,1)),flip(a)]. 15304 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [para(15303(a,1),14942(a,1)),flip(a)]. 15305 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [para(15303(a,1),14972(a,1)),flip(a)]. 15307 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(109(a,1),15305(a,1,2,2,2)),flip(a)]. 15308 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [para(15305(a,1),7735(a,1)),flip(a)]. 15309 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [para(15307(a,1),14941(a,1))]. 15311 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [para(15309(a,1),14990(a,2))]. 15312 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(w,L(y,u,z))). [para(15311(a,1),14744(a,1))]. 15313 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [para(15300(a,2),7725(a,1))]. 15314 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [para(15313(a,1),15272(a,1))]. 15315 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [para(15314(a,2),15268(a,1))]. 15317 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(171(a,1),15315(a,1,2,2,2))]. 15318 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [para(15315(a,1),14852(a,1)),flip(a)]. 15319 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [para(15317(a,2),14856(a,1))]. 15321 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [para(15319(a,1),15095(a,1))]. 15322 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(104(a,1),15321(a,1,2,2)),flip(a)]. 15324 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [para(15322(a,1),14858(a,1)),flip(a)]. 15325 K(x,K(y,((z / u) * w) * T(v5,w * ((1 / u) * z)))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [para(109(a,1),15324(a,1,2,2)),flip(a)]. 15326 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [para(15324(a,1),11961(a,1)),flip(a)]. 15328 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [para(15326(a,2),11961(a,1))]. 15329 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [para(15328(a,2),15304(a,1))]. 15330 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [para(15329(a,1),7735(a,1)),flip(a)]. 15331 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(13386(a,1),15330(a,1,2)),flip(a)]. 15332 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [para(15325(a,1),14940(a,1))]. 15333 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [para(15332(a,1),14852(a,1)),flip(a)]. 15334 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [para(15332(a,1),14927(a,1))]. 15335 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [para(15332(a,1),15292(a,1))]. 15336 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [para(15335(a,1),15318(a,1)),flip(a)]. 15337 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [para(15334(a,2),14966(a,1))]. 15338 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(5778(a,1),15337(a,1,2,2,2))]. 15339 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [para(5089(a,1),15338(a,1,2))]. 15341 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [para(15336(a,1),15339(a,1)),flip(a)]. 15342 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [para(15341(a,1),15312(a,1))]. 15343 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [para(15342(a,1),13608(a,1)),flip(a)]. 15344 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(R(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). [para(14481(a,1),14976(a,1,2)),flip(a)]. 15345 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(L(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). [para(13882(a,1),15344(a,2,2))]. 15347 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(L(y,K(z,u) * v5,v6),K(z,u),v5))). [para(11256(a,1),15345(a,2,2))]. 15348 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [para(15347(a,2),15040(a,1))]. 15349 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [para(15348(a,1),14989(a,1)),flip(a)]. 15351 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [para(15349(a,1),14944(a,1)),flip(a)]. 15353 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [para(15351(a,1),14958(a,1))]. 15354 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [para(15353(a,1),8086(a,2))]. 15355 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(13925(a,1),15353(a,1,2,2,2))]. 15357 L(K(x,K(y,z)),K(u,w) * v5,v6) = a(x,v5,K(v6,K(y,z))) * K(x,K(y,z)). [para(15354(a,2),13550(a,2)),flip(a)]. 15358 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [para(15355(a,2),15343(a,1))]. 15359 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(K(w,u),v5). [para(15358(a,1),15112(a,1,1)),flip(a)]. 15360 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(13549,a,15357,a)]. 15361 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(4542(a,1),15360(a,1,2))]. 15362 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(4593(a,1),15360(a,1,2))]. 15363 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [para(15361(a,1),11970(a,1))]. 15364 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(7378(a,2),15363(a,2,3))]. 15365 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(11967(a,1),15364(a,2,3))]. 15366 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(14(a,1),15365(a,1,3,2,2))]. 15367 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(7378(a,1),15366(a,1,3))]. 15368 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(14(a,1),15367(a,2,3,2,2))]. 15369 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(7378(a,1),15368(a,2,3))]. 15370 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(61(a,1),15369(a,1,2,2))]. 15371 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(7378(a,2),15370(a,1,3))]. 15372 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(7378(a,2),15371(a,2,3))]. 15373 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [para(15372(a,1),13532(a,2))]. 15374 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(7395(a,1),15373(a,2,3))]. 15375 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(v5,K(w,u)). [para(7396(a,1),15359(a,2,2))]. 15377 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(K(w,L(u,z,x)) * K(u,w),v5). [para(15375(a,2),11589(a,1))]. 15378 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(9351(a,1),15377(a,2,1))]. 15379 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [para(15378(a,2),13590(a,1))]. 15380 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(14981(a,1),15379(a,1,2))]. 15381 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(7396(a,1),15380(a,1,3))]. 15382 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [para(15381(a,1),11268(a,1)),flip(a)]. 15383 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(131(a,1),15382(a,1,2,1))]. 15384 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [para(15383(a,1),15374(a,1)),flip(a)]. 15385 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [para(15384(a,2),13533(a,1))]. 15386 K(T(x,y) * ((T(x,T(y,z)) / u) / T(x,T(y,z))),w) = K(((T(x,T(y,z)) / u) / x) * T(x,T(u \ 1,T(y,z))),w). [para(8841(a,1),15173(a,1,1)),flip(a)]. 15387 K(T(x,y) * ((T(x,T(y,z)) / u) / T(x,T(y,z))),w) = K(((T(x,T(y,z)) / u) / x) * T(x,u \ 1),w). [para(15386(a,2),15160(a,1))]. 15388 K(K(x \ 1,y) \ (T(y,T(z,u)) / x),w) = K(T(y,z) * ((T(y,T(z,u)) / x) / T(y,T(z,u))),w). [para(15387(a,2),14587(a,1)),flip(a)]. 15390 ((K(x,(y \ ((z / y) \ 1)) \ 1) \ T(y,K(x,z))) \ T(y,K(x,z))) \ T(y,K(x,z)) = T((z / y) \ T(z,x),K(x,y \ ((z / y) \ 1))). [para(15081(a,2),7760(a,1))]. 15391 L(K(x,T(K(y,z \ u) \ w,z \ u)),K(y,z \ u),T(u / z,T(y,z))) = K(x,T((u / z) \ (w * (K(y,z \ u) \ (u / z))),K(y,z \ u))). [para(14499(a,1),13974(a,1,1))]. 15392 L(K(x,(y \ z) \ (u * T(y \ z,w))),K(w,y \ z),T(z / y,T(w,y))) = K(x,T((z / y) \ (u * (K(w,y \ z) \ (z / y))),K(w,y \ z))). [para(14621(a,2),15391(a,1,1))]. 15393 K((x * y) * K(z,u),1 / K(z,T(u,y))) * L(K(z,T(u,y)) \ 1,K(z,T(u,y)),x * T(y,K(u,z))) = (x * T(y,K(u,z))) / ((x * y) * K(z,u)). [para(15117(a,1),15120(a,1,1,1))]. 15394 K((x * y) * K(z,u),1 * K(u,T(z,y))) * L(K(z,T(u,y)) \ 1,K(z,T(u,y)),x * T(y,K(u,z))) = (x * T(y,K(u,z))) / ((x * y) * K(z,u)). [para(6805(a,1),15393(a,1,1,2))]. 15395 K((x * y) * K(z,u),K(u,T(z,y))) * L(K(z,T(u,y)) \ 1,K(z,T(u,y)),x * T(y,K(u,z))) = (x * T(y,K(u,z))) / ((x * y) * K(z,u)). [para(11(a,1),15394(a,1,1,2))]. 15396 K(x,K((y * z) * K(u,x),T(u,z))) * L(K(u,T(x,z)) \ 1,K(u,T(x,z)),y * T(z,K(x,u))) = (y * T(z,K(x,u))) / ((y * z) * K(u,x)). [para(7374(a,1),15395(a,1,1))]. 15397 K(x,K(y * z,T(u,z))) * L(K(u,T(x,z)) \ 1,K(u,T(x,z)),y * T(z,K(x,u))) = (y * T(z,K(x,u))) / ((y * z) * K(u,x)). [para(14884(a,1),15396(a,1,1))]. 15398 K(x,K(y,z * u)) * L(K(y,T(x,z)) \ 1,K(y,T(x,z)),u * T(z,K(x,y))) = (u * T(z,K(x,y))) / ((u * z) * K(y,x)). [para(14543(a,1),15397(a,1,1))]. 15400 K(x,K(y,z * u)) * L(K(x,T(y,z)),K(y,T(x,z)),u * T(z,K(x,y))) = (u * T(z,K(x,y))) / ((u * z) * K(y,x)). [para(6596(a,1),15398(a,1,2,1))]. 15402 (x * T(y,K(z,u))) / ((x * y) * K(u,z)) = K(z,K(u,y * x)) * K(z,T(u,y)). [para(9229(a,1),15400(a,1,2)),flip(a)]. 15404 (x * T(y,K(z,u))) / ((x * y) * K(u,z)) = K(z,T(T(u,y),y * x)). [para(15402(a,2),14617(a,1))]. 15405 T(x * T(y,K(z,u)),K(z,u)) \ ((x * T(y,K(z,u))) / ((x * T(y,K(z,u))) / ((x * y) * K(u,z)))) = (x * T(y,K(z,u))) \ ((x * T(y,K(z,u))) / R(1 / K(u,T(z,y)),K(u,T(z,y)),x * T(y,K(z,u)))). [para(14909(a,1),15121(a,1,1))]. 15407 (x * T(y,K(z,u))) \ ((x * T(y,K(z,u))) / R(1 / K(u,T(z,y)),K(u,T(z,y)),x * T(y,K(z,u)))) = T(x * T(y,K(z,u)),K(z,u)) \ ((x * T(y,K(z,u))) / K(z,T(T(u,y),y * x))). [para(15404(a,1),15405(a,1,2,2)),flip(a)]. 15408 (x * T(y,K(z,u))) \ ((x * T(y,K(z,u))) / R(1 / K(u,T(z,y)),K(u,T(z,y)),x * T(y,K(z,u)))) = T(x * T(y,K(z,u)),K(z,u)) \ ((x * T(y,K(z,u))) * K(T(T(u,y),y * x),z)). [para(6792(a,1),15407(a,2,2))]. 15409 (x * T(y,K(z,u))) \ ((x * T(y,K(z,u))) / R(1 / K(u,T(z,y)),K(u,T(z,y)),x * T(y,K(z,u)))) = T(x * T(y,K(z,u)),K(z,u)) \ ((x * T(y,K(z,u))) * K(u,T(T(z,y),y * x))). [para(6734(a,1),15408(a,2,2,2))]. 15410 (x * T(y,K(z,u))) \ ((x * T(y,K(z,u))) / R(1 / K(u,T(z,y)),K(u,T(z,y)),x * T(y,K(z,u)))) = T(x * T(y,K(z,u)),K(z,u)) \ ((x * y) * K(u,T(z,y * x))). [para(15122(a,1),15409(a,2,2))]. 15411 (x * T(y,K(z,u))) \ ((x * T(y,K(z,u))) / R(1 / K(u,T(z,y)),K(u,T(z,y)),x * T(y,K(z,u)))) = T(x * T(y,K(z,u)),K(z,u)) \ (K(u,z) * (x * y)). [para(14392(a,1),15410(a,2,2))]. 15412 (x * T(y,K(z,u))) \ ((x * T(y,K(z,u))) / R(1 * K(z,T(u,y)),K(u,T(z,y)),x * T(y,K(z,u)))) = T(x * T(y,K(z,u)),K(z,u)) \ (K(u,z) * (x * y)). [para(6805(a,1),15411(a,1,2,2,1))]. 15413 (x * T(y,K(z,u))) \ ((x * T(y,K(z,u))) / R(K(z,T(u,y)),K(u,T(z,y)),x * T(y,K(z,u)))) = T(x * T(y,K(z,u)),K(z,u)) \ (K(u,z) * (x * y)). [para(11(a,1),15412(a,1,2,2,1))]. 15414 (x * T(y,K(z,u))) \ ((x * T(y,K(z,u))) / K(z,T(u,y))) = T(x * T(y,K(z,u)),K(z,u)) \ (K(u,z) * (x * y)). [para(9803(a,1),15413(a,1,2,2))]. 15415 (x * T(y,K(z,u))) \ ((x * T(y,K(z,u))) * K(u,T(z,y))) = T(x * T(y,K(z,u)),K(z,u)) \ (K(u,z) * (x * y)). [para(6805(a,1),15414(a,1,2))]. 15417 T(x * T(y,K(z,u)),K(z,u)) \ (K(u,z) * (x * y)) = K(u,T(z,y)). [para(15415(a,1),13(a,1))]. 15418 T(L(1 / T(x,K(y,z)),u,w),K(y,z)) \ (K(z,y) * ((1 / T(x,K(y,z))) * (x * L(x \ 1,u,w)))) = K(z,T(y,x * L(x \ 1,u,w))). [para(2216(a,1),15417(a,1,1,1))]. 15419 T(L(T(1 / x,K(y,z)),u,w),K(y,z)) \ (K(z,y) * ((1 / T(x,K(y,z))) * (x * L(x \ 1,u,w)))) = K(z,T(y,x * L(x \ 1,u,w))). [para(7926(a,1),15418(a,1,1,1,1))]. 15420 T(T(L(1 / x,y,z),K(u,w)),K(u,w)) \ (K(w,u) * ((1 / T(x,K(u,w))) * (x * L(x \ 1,y,z)))) = K(w,T(u,x * L(x \ 1,y,z))). [para(40(a,1),15419(a,1,1,1))]. 15421 L(1 / x,y,z) \ (K(u,w) * ((1 / T(x,K(w,u))) * (x * L(x \ 1,y,z)))) = K(u,T(w,x * L(x \ 1,y,z))). [para(7437(a,1),15420(a,1,1))]. 15423 L(1 / x,y,z) \ (K(u,w) * (T(1 / x,K(w,u)) * (x * L(x \ 1,y,z)))) = K(u,T(w,x * L(x \ 1,y,z))). [para(7926(a,1),15421(a,1,2,2,1))]. 15424 L(1 / x,y,z) \ (K(u,w) * ((1 / x) * (T(x,K(w,u)) * L(x \ 1,y,z)))) = K(u,T(w,x * L(x \ 1,y,z))). [para(15227(a,1),15423(a,1,2,2))]. 15425 L(1 / x,y,z) \ (K(u,w) * (L(1 / x,y,z) * K(x,K(w,u)))) = K(u,T(w,x * L(x \ 1,y,z))). [para(10372(a,1),15424(a,1,2,2))]. 15426 L(1 / x,y,z) \ (u * (T(T(u,w),K(x,w)) \ L(1 / x,y,z))) = K(w,T(u,x * L(x \ 1,y,z))). [para(14742(a,1),15425(a,1,2))]. 15427 L(1 / x,y,z) \ (u * (T(u,T(w,x)) \ L(1 / x,y,z))) = K(w,T(u,x * L(x \ 1,y,z))). [para(7817(a,1),15426(a,1,2,2,1))]. 15428 L(1 / x,y,z) \ (K(T(u,x),w) * L(1 / x,y,z)) = K(u,T(w,x * L(x \ 1,y,z))). [para(4581(a,1),15427(a,1,2))]. 15429 L(1 / x,y,z) \ (K(u,T(w,x)) * L(1 / x,y,z)) = K(u,T(w,x * L(x \ 1,y,z))). [para(6573(a,1),15428(a,1,2,1))]. 15430 K(x,T(y,z * L(z \ 1,u,w))) = T(K(x,T(y,z)),L(1 / z,u,w)). [para(15429(a,1),32(a,2)),flip(a)]. 15431 K(x,T(T(y,z),L(1 / z,u,w))) = K(x,T(y,z * L(z \ 1,u,w))). [para(15430(a,2),6535(a,2))]. 15432 K(x,T(y,z * L(z \ 1,u,w))) = K(x,T(T(y,z),L(z,u,w))). [para(15431(a,1),9155(a,1))]. 15433 K(x,T(T(y,1 / z),L(1 / z,u,w))) = K(x,T(y,L(z,u,w) / z)). [para(1501(a,1),15432(a,1,2,2)),flip(a)]. 15434 K(x,T(y,L(z,u,w) / z)) = K(x,L(y,u,K(1 / z,w))). [para(15433(a,1),14733(a,1))]. 15435 K(x,y) * K(y,T(x,L(z,u,w) / z)) = a(K(1 / z,w),u * x,K(x,y)). [para(15434(a,2),9343(a,1,2))]. 15436 K(x,K(y,L(z,u,w) / z)) = a(K(1 / z,w),u * x,K(x,y)). [para(15435(a,1),7404(a,1)),flip(a)]. 15437 a(K(1 / x,y),z * u,K(u,w)) * v5 = v5 * K(u,K(w,L(x,z,y) / x)). [para(15436(a,1),14416(a,1,1))]. 15438 a(1 / x,y * z,K(K(z,u),w)) * v5 = v5 * K(z,K(u,L(x,y,w) / x)). [para(13401(a,1),15437(a,1,1))]. 15439 a(1 / x,y * z,K(z,K(u,w))) * v5 = v5 * K(z,K(u,L(x,y,w) / x)). [para(7351(a,1),15438(a,1,1,3))]. 15440 a(1 / x,y,K(z,K(u,w))) * v5 = v5 * K(z,K(u,L(x,y,w) / x)). [para(11264(a,1),15439(a,1,1))]. 15441 x * K(y,K(z,L(u,w,v5) / u)) = a(z,w,K(y,K(u,v5))) * x. [para(13535(a,1),15440(a,1,1)),flip(a)]. 15442 K(x,K(y,z / L(z,u,w))) = a(y,u,K(x,K(z,w))). [hyper(14620,a,15441,a)]. 15443 K(x,K(y / L(y,z,u),L(w,v5,v6))) = L(a(x,z,K(w,K(y,u))),v5,v6). [para(15442(a,1),8086(a,1,1)),flip(a)]. 15444 K(x,K(L(y,z,u),w / L(w,v5,v6))) = L(a(x,v5,K(y,K(w,v6))),z,u). [para(15443(a,1),7395(a,1)),flip(a)]. 15445 L(a(x,y,K(z,K(u,w))),z,v5) = K(x,K(z,u / L(u,y,w))). [para(15443(a,1),8096(a,1))]. 15446 L(a(x,y,K(z,K(u,w))),u,w * y) = K(x,K(z,a(w,y,u))). [para(15443(a,1),10544(a,1))]. 15447 L(a(x,y,K(z,K(u,w))),z,u * y) = K(x,K(w,a(u,y,z))). [para(7378(a,2),15446(a,1,1,3))]. 15448 a(L(x,y,z),u,K(w,K(v5,v6))) = L(a(w,u,K(x,K(v5,v6))),y,z). [para(15444(a,1),15442(a,1)),flip(a)]. 15449 K(x,K(y,z / L(z,u,w))) = a(L(y,y,v5),u,K(x,K(z,w))). [para(15448(a,2),15445(a,1)),flip(a)]. 15450 a(L(x,x,y * z),z,K(u,K(y,w))) = K(u,K(w,a(y,z,x))). [para(15448(a,2),15447(a,1))]. 15451 a(L(x,x,y),z,K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(15449(a,1),15442(a,1))]. 15452 a(x,y,K(z,K(u,w))) = K(z,K(w,a(u,y,x))). [para(15450(a,1),15451(a,1)),flip(a)]. 15453 a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). [para(15452(a,1),13424(a,1)),flip(a)]. 15454 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(15452(a,1),13532(a,1)),flip(a)]. 15456 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [para(15453(a,1),13425(a,1)),flip(a)]. 15457 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(z \ u,w))). [para(15454(a,2),14943(a,2))]. 15458 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [para(15456(a,2),15331(a,2))]. 15459 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [para(15458(a,2),15383(a,1))]. 15460 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(7378(a,1),15459(a,2,3))]. 15461 K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * (1 / (1 / w))) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(5261(a,1),15460(a,1,2,2,2,1))]. 15462 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(w,u / z))). [para(14410(a,1),15457(a,2,3))]. 15463 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [para(15462(a,1),14862(a,1)),flip(a)]. 15465 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [para(15463(a,1),15308(a,1)),flip(a)]. 15466 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(x,z,K(y,K(w,u / z))). [para(15465(a,1),7374(a,1)),flip(a)]. 15467 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [para(15465(a,2),13587(a,2)),flip(a)]. 15468 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [para(15465(a,1),14545(a,1)),flip(a)]. 15469 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(16(a,1),15468(a,1,2,2,2,2))]. 15470 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(16(a,1),15467(a,2,2))]. 15471 K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(9707(a,1),15461(a,1,2))]. 15472 K(x,K(y,((z / u) / (w * K(1 / z,w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(13504(a,1),15471(a,1,2))]. 15473 K(x,K(y,(((z / u) / w) * K(w,1 / z)) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(5860(a,1),15472(a,1,2,2,1))]. 15474 K(x,K(y,(((z / u) / w) * K(w,1 / z)) * ((w / z) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(15473(a,1),15333(a,1)),flip(a)]. 15475 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [para(15474(a,1),14929(a,1)),flip(a)]. 15476 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(6802(a,1),15475(a,2,3,2))]. 15478 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(14853(a,1),15476(a,2,3))]. 15480 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [para(15478(a,1),15469(a,1)),flip(a)]. 15481 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(59(a,1),15480(a,1,3,2,1))]. 15482 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(15273(a,1),15481(a,1,3))]. 15483 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(7374(a,1),15482(a,1,3))]. 15484 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(15000(a,1),15483(a,1,3))]. 15485 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [para(15484(a,1),13585(a,1))]. 15486 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(7395(a,1),15485(a,1,3))]. 15487 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [para(15486(a,1),15362(a,2))]. 15488 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [para(15487(a,1),15385(a,1))]. 15489 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(7374(a,1),15488(a,2,3))]. 15490 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [para(15489(a,1),15466(a,2))]. 15491 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(7378(a,2),15490(a,2,3))]. 15492 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [para(15491(a,1),15470(a,1)),flip(a)]. 15493 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(7735(a,1),15492(a,1,3))]. 15494 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(7395(a,1),15493(a,2,3))]. 15495 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [para(15494(a,1),15489(a,1))]. 15496 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(15495(a,1),13546(a,1,1))]. 15497 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(7374(a,1),15496(a,1,2))]. 15498 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [para(15497(a,1),13579(a,1))]. 15499 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [para(15498(a,1),8084(a,1))]. 15500 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,v5 \ ((v5 / (w * u)) * (w * (u * z))))). [para(495(a,1),15499(a,1,2,2)),flip(a)]. 15501 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(6163(a,1),15499(a,1,2)),flip(a)]. 15502 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [para(15499(a,1),15299(a,1))]. 15503 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [para(15502(a,1),15278(a,1)),flip(a)]. 15504 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,L(z,u,w))). [para(15501(a,2),7725(a,1))]. 15505 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) * (w * (u * z))) / v5)). [para(15500(a,2),14413(a,2)),flip(a)]. 15506 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) / v5) * (w * (u * z)))). [para(15505(a,2),15503(a,1))]. 15507 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [para(15506(a,2),15270(a,1))]. 15509 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,T(L(z,u,w),w * u))). [para(7557(a,1),15507(a,2,2))]. 15512 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [para(15509(a,2),14404(a,1))]. 15513 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [para(15(a,1),15512(a,1,2,2,2))]. 15516 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [para(15513(a,1),15504(a,1))]. 15517 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(6104(a,1),15516(a,1,2)),flip(a)]. 15521 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [para(15517(a,2),7725(a,1))]. 15522 K(x,K(y,L(z,u,w))) = K(z,K(x,y)). [para(15517(a,2),7727(a,1))]. 15526 L(K(x,K(y,z)),u,w) = K(x,K(y,z)). [para(15521(a,1),8085(a,2))]. 15536 K(L(K(x,y),z,u),w) = K(x,K(y,w)). [para(15522(a,1),8091(a,2))]. 15540 a(x,y,K(z,K(u,w))) = 1. [hyper(34,a,15526,a)]. 15542 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [para(15526(a,1),13901(a,1,1)),flip(a)]. 15543 K(x,K(y,z)) \ (u * w) = (K(x,K(y,z)) \ u) * w. [para(15526(a,1),13939(a,1,1))]. 15544 K(x,K(y,z)) \ ((K(y,z) \ u) * (u \ x)) = L(K(z,T(y,x)),u,u \ x) * x. [para(15526(a,1),14072(a,1,1))]. 15545 K(x,K(y,z)) \ (K(x,y) * (z * u)) = (z * K(x,y)) * L(u,z,K(x,y)). [para(15526(a,1),13988(a,1,1))]. 15549 a(K(x,y),z,K(u,w)) = 1. [para(15540(a,1),13398(a,2))]. 15550 a(K(x,K(y,z)),u,w) = 1. [para(15540(a,1),13401(a,2))]. 15553 K(x,K(y,a(z,u,w))) = 1. [para(15540(a,1),15450(a,1)),flip(a)]. 15555 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(33,a,15549,a)]. 15556 L(x,y,K(z,K(u,w))) = x. [hyper(33,a,15550,a)]. 15559 K(a(K(x,y),z,u),w) = 1. [para(15550(a,1),12960(a,1)),flip(a)]. 15562 T(x,K(y,a(z,u,w))) = x. [hyper(37,a,15553,a)]. 15563 T(K(a(x,y,z),u),w) = 1 * K(a(x,y,z),u). [para(15553(a,1),5373(a,1,1)),flip(a)]. 15571 (K(x,K(y,z)) \ u) \ w = u \ (K(x,K(y,z)) * w). [para(15556(a,1),343(a,1))]. 15572 (K(x,K(y,z)) * u) / w = K(x,K(y,z)) * (u / w). [para(15556(a,1),386(a,1,2))]. 15573 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,K(y,K(z,u)) * w,x). [para(15556(a,1),332(a,2,1))]. 15575 (K(x,K(y,z)) * (u * w)) \ ((K(x,K(y,z)) * u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(15556(a,1),331(a,1,2,2,1))]. 15576 (x * (K(y,K(z,u)) * (w * v5))) \ ((x * (K(y,K(z,u)) * w)) * v5) = a(x,K(y,K(z,u)) * w,L(v5,w,K(y,K(z,u)))). [para(15556(a,1),330(a,1,2,2))]. 15578 R(x,y,T(z,K(u,w))) = R(x,y,z). [para(15556(a,1),14043(a,1)),flip(a)]. 15579 x \ (y * K(z,K(u,w))) = (x \ y) * K(z,K(u,w)). [para(15556(a,1),14038(a,1,1))]. 15580 T(a(K(x,y),z,u),w) = a(K(x,y),z,u). [hyper(37,a,15559,a)]. 15584 T(x,K(y,L(z,u,w) \ z)) = x. [para(13200(a,2),15562(a,1,2))]. 15586 L(L(K(x,y),z,u),w,K(v5,v6)) = L(K(x,y),z,u). [para(15555(a,1),45(a,1,1)),flip(a)]. 15588 T(x,y) * L(z,x,K(x,y)) = L(K(x,y),u,K(w,v5)) * (x * z). [para(15555(a,2),4687(a,2,1))]. 15589 L(K(x,y),z,L(K(u,w),v5,v6)) = K(x,y). [para(5417(a,1),15555(a,1,3))]. 15590 K(x,y) \ (z * K(u,w)) = (K(x,y) \ z) * K(u,w). [para(15555(a,1),5500(a,1,2)),flip(a)]. 15591 K(L(x,y,K(z,u)),w) = K(x,w). [para(15555(a,1),6096(a,1)),flip(a)]. 15593 K(x,(K(y,z) \ u) \ w) = K(x,u \ (K(y,z) * w)). [para(15555(a,1),6107(a,1))]. 15594 K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),w). [para(15555(a,1),6090(a,1))]. 15595 K(x,T(y \ z,K(u,w) \ y)) = K(x,(K(w,u) * z) / (K(w,u) * y)). [para(15555(a,1),11300(a,1))]. 15597 K((x * K(y,z)) / (u * K(y,z)),w) = K(x / u,w). [para(15555(a,1),13915(a,1)),flip(a)]. 15598 (L(K(x,y),z,u) * w) * K(v5,v6) = L(K(x,y),z,u) * (w * K(v5,v6)). [para(15555(a,1),13904(a,1,1,1)),flip(a)]. 15600 K(x,T(y,L(z,u,w) \ z)) = K(x,y). [hyper(8296,a,15584,a)]. 15601 K(x * (L(y,z,u) \ y),x) \ w = w * K(x,x * (L(y,z,u) \ y)). [para(15584(a,1),7635(a,1,1)),flip(a)]. 15602 T(x,K(y,z * L(z \ 1,u,w))) = x. [para(15584(a,1),12416(a,1)),flip(a)]. 15604 K((L(K(x,y),z,u) \ y) / w,v5) = K(y / (w * L(K(x,y),z,u)),v5). [para(15591(a,1),14077(a,1)),flip(a)]. 15605 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u * K(x,u),T(w,x)). [para(15591(a,1),14836(a,1)),flip(a)]. 15606 K((K(x,y) \ z) / u,w) = K(z / (u * K(x,y)),w). [para(15591(a,1),15185(a,1))]. 15607 K(x,K(y,z) \ (u * w)) \ K(x,K(u,K(y,z) \ w)) = K((w * K(z,y)) * L(u,w,K(z,y)),x). [para(15591(a,1),15241(a,1,2,2))]. 15609 R(x,y,K(z,u) \ w) = R(x,y,w * K(u,z)). [para(6770(a,1),15578(a,1,3)),flip(a)]. 15610 R(x,y,T(z,T(u,w))) = R(x,y,T(z,u)). [para(7808(a,1),15578(a,1,3))]. 15612 T(x,L(K(y,z),u,w)) = K(y,K(z,x)) \ x. [para(15536(a,1),4563(a,2,1))]. 15615 K(x,T(y,z \ L(z,u,w))) = K(x,y). [para(15600(a,1),7860(a,1)),flip(a)]. 15616 T(x,K(T(x,y) * (z * L(z \ 1,u,w)),y)) = L(x,z * L(z \ 1,u,w),x). [para(15602(a,1),15218(a,2,1))]. 15619 (a(K(x,y),z,u) \ w) * a(K(x,y),z,u) = w. [para(15580(a,1),147(a,1,2))]. 15622 K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (L(K(y,z),u,w) * v6)). [para(15589(a,1),6107(a,1))]. 15623 K(x,y) \ (z * L(K(u,w),v5,v6)) = (K(x,y) \ z) * L(K(u,w),v5,v6). [para(15589(a,1),13939(a,1,1))]. 15625 R(T(x / y,y * T(z,u)),y,T(z,u)) = (y * T(z,T(u,w))) \ (x * T(z,T(u,w))). [para(15610(a,1),15171(a,1))]. 15626 T(x,L(K(y,z),u,w)) = T(x,K(y,z)). [para(15612(a,2),7359(a,1))]. 15627 L(K(x,y),z,u) * T(w,K(x,y)) = w * L(K(x,y),z,u). [para(15626(a,1),109(a,1,2))]. 15628 T(x / L(K(y,z),u,w),K(y,z)) = L(K(y,z),u,w) \ x. [para(15626(a,1),111(a,1))]. 15629 T(x,K(y,L(z,u,w))) = T(x,K(y,z)). [para(6100(a,1),15626(a,1,2))]. 15630 (T(x,K(y,z)) * K(u,z)) * (K(z,u) * L(K(y,z),w,v5)) = x * ((x * L(K(y,z),w,v5)) / x). [para(15626(a,1),9308(a,1,1,1))]. 15631 T(T(x,y),K(y,z)) = T(x,T(y,L(z,u,w))). [para(15629(a,1),7808(a,1))]. 15634 x \ T(y * T(x,K(z,u)),K(z,L(u,w,v5))) = T(y,K(L(u,w,v5),z) * x). [para(15629(a,1),14080(a,1,2,1,2))]. 15635 T(x,T(y,L(z,u,w))) = T(x,T(y,z)). [para(15631(a,1),7808(a,1))]. 15636 T(x,T(y,(z \ u) \ w)) = T(x,T(y,u \ (z * w))). [para(343(a,1),15635(a,1,2,2)),flip(a)]. 15637 T(x,L(y \ z,y,u / z) \ u) = T(x,T((u / z) * y,y \ z)). [para(536(a,1),15635(a,1,2))]. 15638 T(K(a(x,y,z),u),w) = K(a(x,y,z),u). [hyper(67,a,15563,a(flip)),flip(a)]. 15640 K(a(x,y,z),u * w) = K(a(x,y,z),w * u). [para(15638(a,1),12372(a,1))]. 15641 R(R(x,y,z),y * z,K(x,y)) = R(x,y,K(y,x) \ z). [para(15609(a,2),14063(a,2))]. 15642 a(K(x,y),z,u) \ (w * a(u,z,K(y,x))) = w. [hyper(13539,a,15619,a)]. 15643 a(K(x,y),z,u) \ w = w * a(K(y,x),z,u). [hyper(12125,a,15619,a),flip(a)]. 15644 (K(x,y) * (z * u)) \ (K(x,y) * (z * T(u,w))) = L(K(u,w),u,z). [para(15586(a,1),4605(a,1)),flip(a)]. 15647 K(x,K(y,z)) * ((u * K(w,u)) * w) = w * (K(x,K(y,z)) * u). [para(15542(a,1),14850(a,1))]. 15648 K(x,K(y,z)) \ (u * w) = (K(y,K(x,z)) \ u) * w. [para(7374(a,1),15543(a,1,1))]. 15649 (K(x,K(y,z)) \ (u * w)) / (K(x,K(y,z)) * w) = R(u,T(K(x,K(y,z)),w),T(w,K(x,K(y,z)))). [para(15543(a,2),14553(a,1,1))]. 15650 (K(x,K(y,z)) \ u) \ (K(x,K(y,z)) \ w) = u \ w. [para(14(a,1),15571(a,2,2))]. 15651 (K(x,K(y,z)) \ u) \ w = u \ (K(x,K(y,z)) \ w). [para(7421(a,2),15571(a,2,2))]. 15652 (K(x,K(y,z)) \ u) / w = K(x,K(y,z)) * (u / w). [para(7421(a,2),15572(a,1,1))]. 15653 L((x \ y) * K(z,K(u,w)),x,K(z,K(u,w))) = (K(z,K(u,w)) * x) \ y. [para(15579(a,1),14550(a,1,1))]. 15655 K(x,(K(y,z) \ u) \ w) = K(x,u \ (K(z,y) \ w)). [para(4906(a,2),15593(a,2,2,2))]. 15656 K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). [para(15594(a,1),15157(a,1)),flip(a)]. 15659 T(x,T(y / T(z * u,K(w,v5)),(z \ K(w,v5)) \ u)) = T(x,(z * u) \ T(y,K(w,v5))). [para(14085(a,1),15636(a,2,2))]. 15660 K(x,y) \ (K(x,K(y,z)) \ u) = K(x,T(y,z)) \ u. [para(7673(a,1),15651(a,1,1)),flip(a)]. 15661 (x / y) \ (K(y,K(z,u)) \ w) = (x / T(y,K(z,u))) \ w. [para(14548(a,1),15651(a,1,1)),flip(a)]. 15662 (x \ y) \ (K(y,K(z,u)) \ w) = (x \ T(y,K(z,u))) \ w. [para(14555(a,1),15651(a,1,1)),flip(a)]. 15663 (K(x,K(y,z)) \ u) / w = K(x,K(y,z)) \ (u / w). [para(15652(a,2),7421(a,2)),flip(a)]. 15664 K(x,(y \ z) \ (K(u,y) \ w)) = K(x,(T(y,u) \ z) \ w). [para(4903(a,1),15655(a,1,2,1)),flip(a)]. 15665 K(x,(T(y,z) \ u) \ (K(y,z) \ w)) = K(x,(y \ u) \ w). [para(4971(a,1),15655(a,1,2,1)),flip(a)]. 15666 K(x,(y / z) \ (K(((z \ 1) / (y / z)) \ 1,u) \ w)) = K(x,(T(y,u) / z) \ w). [para(5479(a,1),15655(a,1,2,1)),flip(a)]. 15667 K(x,T(x \ y,z) \ (x \ u)) = K(x,y \ (K(y / x,z) \ u)). [para(15655(a,1),6667(a,2))]. 15668 K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (K(L(z,u,w),y) \ v6)). [para(11214(a,2),15655(a,1,2,1,1))]. 15669 K(x,(K(y,z) * ((K(u,w) \ v5) / K(y,z))) \ v6) = K(x,v5 \ (K(w,u) \ v6)). [para(15655(a,1),14803(a,2))]. 15670 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (L(K(u,y),w,v5) * v6),v7). [para(9805(a,2),15656(a,2,1,2)),flip(a)]. 15671 K((x * y) / (K(z,u) * y),w) = K(y \ (K(u,z) * (y * x)),w). [para(15656(a,1),14681(a,2))]. 15672 K(x,y) \ (K(y,T(x,z)) \ u) = K(y,K(x,z)) \ u. [para(15660(a,1),4909(a,1,2))]. 15673 K(x,T(y,z)) \ (u * z) = K(x,y) \ (u * T(z,K(x,y))). [para(14554(a,1),15660(a,1,2)),flip(a)]. 15674 K(x,K(y,z)) \ ((u / x) / w) = (u / T(x,K(y,z))) / w. [para(14548(a,1),15663(a,1,1)),flip(a)]. 15675 K(x,y) \ (K(y,T(x,z)) \ u) = K(x,K(y,z)) \ u. [para(7374(a,1),15672(a,2,1))]. 15676 R(x,y,K(y,x) \ z) = R(x,y,z). [para(15641(a,1),6452(a,1))]. 15677 R(x,y,K(x,y) \ z) = R(x,y,z). [para(4909(a,1),15676(a,1,3)),flip(a)]. 15679 K(L(x,y,z),u) \ T(w,K(u,x)) = w * L(K(u,x),y,z). [para(15627(a,1),11228(a,2))]. 15680 T(x * K(L(y,z,u),w),K(w,y)) = L(K(w,y),z,u) \ x. [para(11232(a,1),15628(a,1,1))]. 15681 (x \ T(y,K(z,u))) \ T(y,K(z,u)) = (x \ y) \ y. [para(4676(a,1),15662(a,1,2)),flip(a)]. 15682 K(x,(T(y,z) \ u) \ (w / T(y,z))) = K(x,(y \ u) \ (w / y)). [para(15665(a,1),14806(a,1)),flip(a)]. 15683 K(x,T(y,z \ u)) \ (w * (u / z)) = K(x,y) \ (w * T(u / z,K(x,y))). [para(14499(a,1),15673(a,1,1))]. 15684 K(x,y) \ (L(K(y,x),z,u) \ w) = (w * K(L(x,z,u),y)) * K(y,x). [para(15680(a,1),4913(a,1,2))]. 15685 T(x,y) * L(z,x,L(K(x,y),u,K(w,v5))) = L(K(x,y),v6,K(v7,v8)) * (x * z). [para(15555(a,2),15588(a,1,2,3))]. 15686 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [para(4614(a,1),15647(a,1,2))]. 15687 K(x,K(y,z)) \ (u * w) = u * (K(x,K(y,z)) \ w). [hyper(17,a,194,a,b,15686,a),flip(a)]. 15690 K(x,K(y,z)) \ (u * w) = u * (K(x,K(y,z)) * w). [para(15686(a,1),7421(a,2))]. 15692 (K(x,K(y,z)) \ (u * w)) / (K(x,K(y,z)) \ w) = u. [hyper(78,a,15687,a(flip))]. 15693 K(x,K(y,z)) \ (u * ((x * T(K(y,z),w)) / x)) = u * T(K(y,z),T(w,x)). [para(8068(a,1),15687(a,2,2))]. 15694 K(x,K(y,z)) \ (u * (w / x)) = u * (w / T(x,K(y,z))). [para(14548(a,1),15687(a,2,2))]. 15695 K(x,K(y,z)) \ (u * (w \ x)) = u * (w \ T(x,K(y,z))). [para(14555(a,1),15687(a,2,2))]. 15696 T(T(x,K(y,z)) * (u / x),w) = x * (T(u,w) / T(x,K(y,z))). [para(15694(a,1),14726(a,1)),flip(a)]. 15697 K(x,y * (z / T(u,K(w,v5)))) = K(x,y * (z / u)). [para(15694(a,1),14793(a,1,2))]. 15698 K(x,y * (z / T(u,T(w,v5)))) = K(x,y * (z / T(u,w))). [para(7808(a,1),15697(a,1,2,2,2))]. 15699 K(x * (y / T(z,T(u,w))),v5) = K(v5,x * (y / T(z,u))) \ 1. [para(15698(a,1),4796(a,1,1)),flip(a)]. 15700 K(x * (y / T(z,T(u,w))),v5) = K(x * (y / T(z,u)),v5). [para(15699(a,2),4796(a,1))]. 15701 (K(x,y) \ (z * u)) \ (K(y,x) * (z * T(u,w))) = L(K(u,w),u,z). [para(4906(a,2),15644(a,1,1))]. 15703 (K(x,y) \ (z * u)) \ (K(x,y) \ (z * T(u,w))) = L(K(u,w),u,z). [para(4906(a,2),15701(a,1,2))]. 15705 L(K(x \ y,z),x \ y,x) = (K(u,w) \ y) \ (K(u,w) \ (x * T(x \ y,z))). [para(14(a,1),15703(a,1,1,2)),flip(a)]. 15707 K(x,T(y \ z,K(u,w) \ y)) = K(x,(K(u,w) \ z) / (K(w,u) * y)). [para(4906(a,2),15595(a,2,2,1))]. 15709 x * K(y,y * (L(z,u,w) \ z)) = K(y * a(w,u,z),y) \ x. [para(13205(a,1),15601(a,1,1)),flip(a)]. 15710 T(x,x * (L(y,z,u) \ y)) = T(x,x * a(u,z,y)). [hyper(18,a,4991,a(flip),b,15709,a)]. 15711 T(x,L(y,z,u) \ (y * x)) = T(x,x * a(u,z,y)). [para(15710(a,1),10588(a,2))]. 15712 K(x \ L(x,y,z),(x \ L(x,y,z)) \ u) = u \ T(u,u * a(z,y,x)). [para(15711(a,1),13263(a,2,2))]. 15714 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,T(T(w,x),x)). [para(15605(a,2),7504(a,1))]. 15716 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,w). [para(15714(a,2),7477(a,1))]. 15718 K(x,(L(K(y,z),u,w) \ v5) \ (L(K(y,z),u,w) \ v6)) = K(x,v5 \ v6). [para(14(a,1),15622(a,2,2,2))]. 15719 K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,v5 \ (L(K(z,y),u,w) * v6)). [para(5602(a,1),15622(a,1,2,1))]. 15720 K(x,T(y \ z,K(u,w) \ y)) = K(x,(K(u,w) \ z) / (K(u,w) \ y)). [para(4906(a,2),15707(a,2,2,2))]. 15721 K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,y \ (L(K(u,z),w,v5) * v6)). [para(15719(a,1),14804(a,1)),flip(a)]. 15722 (x * K(y,z \ (L(K(u,w),v5,v6) * v7))) \ x = K((z * L(K(w,u),v5,v6)) \ v7,y). [para(15721(a,1),6793(a,1,1,2))]. 15723 K(x,K(y,z)) \ (K(y,x) \ (z * u)) = (z * K(x,y)) * L(u,z,K(x,y)). [para(4906(a,2),15545(a,1,2))]. 15725 (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). [para(15653(a,1),15556(a,1))]. 15726 (x * K(y,K(z,u))) \ w = (x \ w) * K(y,K(z,u)). [para(14416(a,1),15725(a,1,1))]. 15727 (x * K(y,K(z,u))) \ w = K(y,K(z,u)) \ (x \ w). [para(15726(a,2),14450(a,2)),flip(a)]. 15728 K(x,K(y,z)) \ (K(y,x) \ u) = K(y,T(x,z)) \ u. [para(7406(a,1),15727(a,1,1)),flip(a)]. 15729 (K(x,K(y,z)) \ u) \ w = K(x,K(y,z)) \ (u \ w). [para(14450(a,2),15727(a,1,1))]. 15730 K(x,K(y,T(z,u)) \ w) = K(x,K(y,z) \ w). [para(15728(a,1),14793(a,1,2))]. 15731 K(K(x,T(y,z)) \ u,w) = K(K(x,y) \ u,w). [para(15728(a,1),15153(a,1,1))]. 15732 K(x,K(y,z / u) \ w) = K(x,K(y,u \ z) \ w). [para(111(a,1),15730(a,1,2,1,2)),flip(a)]. 15733 K(x,K(y,T(z,u)) \ w) = K(x,K(z,y) \ w). [para(15730(a,2),14096(a,1))]. 15734 K(x,y * K(z,T(u,w))) = K(x,K(u,z) \ y). [para(15733(a,1),14571(a,1)),flip(a)]. 15735 K(x,K(y,z * u) \ w) = K(x,w * K(u * z,y)). [para(12346(a,1),15734(a,1,2,2)),flip(a)]. 15736 (K(x,K(y,z)) \ (u * w)) \ (u * (w * v5)) = K(x,K(y,z)) \ L(v5,w,u). [para(28(a,2),15729(a,2,2))]. 15737 K(x,(K(y,K(z,u)) \ w) \ v5) = K(x,w \ v5). [para(15729(a,2),14793(a,1,2))]. 15738 K(x,K(y,z)) \ (u \ w) = u \ (K(x,K(y,z)) \ w). [para(15729(a,1),15651(a,1))]. 15739 K(x,(y * T(z,K(u,w))) \ v5) = K(x,(y * z) \ v5). [para(14551(a,1),15737(a,1,2,1))]. 15740 K(x,T(T(y,K(z,u)) * w,v5) \ v6) = K(x,T(y * w,v5) \ v6). [para(14725(a,1),15737(a,1,2,1))]. 15741 K(x,y \ (K(z,K(u,w)) \ v5)) = K(x,y \ v5). [para(15650(a,1),15737(a,1,2)),flip(a)]. 15742 K(x,y \ (T(z,K(u,w)) * v5)) = K(x,y \ (z * v5)). [para(4629(a,1),15741(a,1,2,2)),flip(a)]. 15743 K(x,y \ (z \ T(u,K(w,v5)))) = K(x,y \ (z \ u)). [para(5392(a,1),15741(a,1,2,2)),flip(a)]. 15744 K(x,y \ (z * T(u,K(w,v5)))) = K(x,y \ (z * u)). [para(14551(a,1),15741(a,1,2,2))]. 15745 K(x,y \ ((z / K(u,w)) \ (v5 * (K(u,w) \ z)))) = K(x,y \ T(v5,z / K(u,w))). [para(14624(a,1),15741(a,1,2,2))]. 15746 K(x,y \ (K(z,T(u,w)) \ v5)) = K(x,y \ (K(z,u) \ v5)). [para(15728(a,1),15741(a,1,2,2))]. 15747 K(x,K(y,z \ u) \ ((u / z) \ w)) = K(x,T(u / z,y) \ w). [para(15732(a,1),14097(a,1))]. 15748 x \ (K(y,K(z,x \ u)) \ u) = T(x \ u,K(y,z)). [para(15738(a,1),7359(a,1))]. 15749 T(x,y \ (K(z,K(u,w)) \ v5)) = T(x,y \ v5). [para(15738(a,1),15132(a,1,2))]. 15750 T(x,y \ (T(z,K(u,w)) \ v5)) = T(x,y \ (z \ v5)). [para(4903(a,1),15749(a,1,2,2))]. 15751 T(x,y \ (T(z,T(u,w)) * v5)) = T(x,y \ (T(z,u) * v5)). [para(14756(a,1),15749(a,1,2,2)),flip(a)]. 15752 K(x,(y * (K(z,u) \ w)) \ v5) = K(x,(y * (w * K(u,z))) \ v5). [para(6770(a,1),15739(a,1,2,1,2)),flip(a)]. 15753 K(x,y \ (L(T(z,K(u,w)),v5,v6) * v7)) = K(x,y \ (L(z,v5,v6) * v7)). [para(40(a,2),15742(a,1,2,2,1))]. 15755 K(x,y \ ((z * u) * T(w,u * z))) = K(x,y \ (w * (z * u))). [para(12392(a,1),15742(a,1,2,2))]. 15756 K(x,y \ (z * L(T(u,K(w,v5)),v6,v7))) = K(x,y \ (z * L(u,v6,v7))). [para(40(a,2),15744(a,1,2,2,2))]. 15757 K(x,y \ (z * T(u,T(w,v5)))) = K(x,y \ (z * T(u,w))). [para(7808(a,1),15744(a,1,2,2,2))]. 15758 (x / y) \ (K(z,K(u,K(w,x) \ y)) \ T(x,w)) = T((x / y) \ T(x,w),K(z,u)). [para(14580(a,1),15748(a,1,2,1,2))]. 15759 K(x,y \ (K(z / u,w) \ v5)) = K(x,y \ (K(u \ z,w) \ v5)). [para(6555(a,1),15746(a,1,2,2,1)),flip(a)]. 15760 K(x,T((T(y,z) \ 1) \ z,u) \ w) = K(x,T(T(y,K(v5,v6)) * (((y \ 1) \ z) / y),u) \ w). [para(9965(a,2),15740(a,2,2,1,1)),flip(a)]. 15761 K(x,K(y,z * u) \ ((u / (z \ 1)) \ w)) = K(x,T(u / (z \ 1),y) \ w). [para(13420(a,1),15747(a,1,2,1))]. 15762 K(x,y \ ((z * (u / z)) * T(w,u))) = K(x,y \ (w * (z * (u / z)))). [para(16(a,1),15755(a,1,2,2,2,2))]. 15763 K(x,K(y,z) \ T(u,y * z)) = K(x,(y * z) \ (u * (z * y))). [para(10890(a,1),15755(a,1,2))]. 15764 K(x,T(x \ y,z) \ (x \ u)) = K(x,y \ (K(x \ y,z) \ u)). [para(15759(a,1),15667(a,2))]. 15765 K(x,L(y \ (L(T(z,K(u,w)),v5,v6) * v7),y,K(v7,L(T(z,K(u,w)),v5,v6)))) = K(x,(K(L(T(z,K(u,w)),v5,v6),v7) \ y) \ (v7 * L(z,v5,v6))). [para(5497(a,2),15756(a,1,2))]. 15766 K(x \ L(x,y,z),(x \ L(x,y,z)) \ u) = K(u,u * a(z,y,x)). [para(15712(a,2),4571(a,2)),flip(a)]. 15767 K(x \ L(x,y,z),L(x,y,z) \ (x * u)) = K(u,u * a(z,y,x)). [para(15766(a,1),10442(a,1)),flip(a)]. 15768 K(x \ L(x,y,z),L(x,y,z) \ (x * u)) = K(u,a(z,y,x)). [para(15767(a,2),13397(a,1))]. 15769 (x * K(y,z)) * L(u,x,K(y,z)) = K(z,T(y,x)) \ (x * u). [para(15723(a,1),15728(a,1))]. 15770 K(x,T(y,z \ 1)) \ ((z \ 1) * z) = (z \ K(y,x)) * z. [para(15769(a,1),14041(a,1))]. 15771 K(x,T(y,z)) \ (z * T(u,K(x,y) \ z)) = (u * z) * K(y,x). [para(15769(a,1),14562(a,1))]. 15772 K(x,T(y,z)) \ ((z \ 1) * z) = (z \ K(y,x)) * z. [para(7854(a,1),15770(a,1,1))]. 15773 K(x,T(y,z)) \ L(L(z,u,w) \ L(L(z,u,w),L(z,u,w) \ 1,L(z,u,w)),v5,v6) = (z \ K(y,x)) * z. [para(11463(a,2),15772(a,1,2))]. 15774 T(x * T(y,K(z,u) \ x),K(z,u)) = ((y * x) * K(u,z)) * K(z,T(u,x)). [para(15771(a,1),14907(a,1,1)),flip(a)]. 15775 T(x,K(L(y,z,u),w) * v5) = v5 \ T(x * T(v5,K(w,y)),K(w,y)). [para(15629(a,1),15634(a,1,2)),flip(a)]. 15776 T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). [para(15775(a,2),14080(a,1))]. 15778 T(x,K(y,L(z,u,w)) \ v5) = T(x,K(z,y) * v5). [para(4906(a,2),15776(a,1,2))]. 15779 T(x,y * K(L(z,u,w),v5)) = T(x,K(z,v5) * y). [para(15776(a,1),14459(a,1)),flip(a)]. 15780 T(x,L(K(y,z),u,w) \ v5) = T(x,K(z,y) * v5). [para(6099(a,1),15778(a,1,2,1))]. 15781 K(x * K(L(y,z,u),w),v5) = v5 / T(v5,K(y,w) * x). [para(15779(a,1),4561(a,2,2))]. 15782 T(x,y * L(K(z,u),w,v5)) = T(x,K(z,u) * y). [para(6095(a,1),15779(a,1,2,2))]. 15783 T(x,L(K(y,z),u,w) \ v5) = T(x,K(y,z) \ v5). [para(4906(a,2),15780(a,2,2))]. 15784 T(x,y * L(K(z,u),w,v5)) = T(x,K(u,z) \ y). [para(4906(a,2),15782(a,2,2))]. 15785 T(x,(y / K(z,u)) * L(K(z,u),w,v5)) = T(x,y * K(K(z,u),K(z,u) \ y)). [para(4792(a,2),15782(a,2,2))]. 15786 K(L(K(x,y),z,u) \ w,v5) = v5 / T(v5,K(x,y) \ w). [para(15783(a,1),4561(a,2,2))]. 15787 K(x,L(K(y,z),u,w) \ v5) = x \ T(x,K(y,z) \ v5). [para(15783(a,1),4571(a,2,2))]. 15788 T(x,K(y,z) \ (K(L(z,u,w),y) \ v5)) = T(x,v5). [para(11229(a,1),15783(a,1,2)),flip(a)]. 15789 T(x,K(y,z) \ (u * w)) = T(x,u * (w * K(z,y))). [para(95(a,1),15784(a,1,2)),flip(a)]. 15790 T(x,K(y,z) \ (u * w)) = T(x,u * (K(y,z) \ w)). [para(15789(a,2),15142(a,2)),flip(a)]. 15791 x \ T(x,K(y,z) \ (u * w)) = K(x,u * (K(y,z) \ w)). [para(15790(a,2),4571(a,2,2)),flip(a)]. 15792 T(x,K(y,z) \ (u * (K(z,y) \ w))) = T(x,u * w). [para(4909(a,1),15790(a,2,2,2))]. 15793 T(x,K(y,L(z,u,w)) \ (v5 * v6)) = T(x,v5 * (L(K(y,z),u,w) \ v6)). [para(11214(a,2),15790(a,2,2,2,1))]. 15794 K(x * K(L(y,z,u),w),v5) = K(K(y,w) * x,v5). [para(15781(a,2),4561(a,2)),flip(a)]. 15795 K(x * L(K(y,z),u,w),v5) = K(K(y,z) * x,v5). [para(6095(a,1),15794(a,1,1,2))]. 15796 K(L(K(x,y),z,u) \ w,v5) = K(K(x,y) \ w,v5). [para(15786(a,2),4561(a,2)),flip(a)]. 15797 K(x,L(K(y,z),u,w) \ v5) = K(x,K(y,z) \ v5). [para(15787(a,2),4571(a,2)),flip(a)]. 15798 K(x,K(L(y,z,u),w) \ v5) = K(x,K(w,y) \ v5). [para(15797(a,1),14099(a,1)),flip(a)]. 15799 K(x,K(y,z) \ (u * w)) = K(x,(K(z,y) \ u) * w). [para(13940(a,1),15798(a,1,2)),flip(a)]. 15801 K(x,K(y,z) \ ((z \ u) * w)) = K(x,(T(z,y) \ u) * w). [para(4903(a,1),15799(a,2,2,1))]. 15802 K(x,K(y,z) \ (u * w)) = K(x,u * (K(y,z) \ w)). [para(15791(a,1),4571(a,2))]. 15803 K(x,K(y,z) \ (u * w)) = K(x,u * (w * K(z,y))). [para(15802(a,2),14797(a,1))]. 15804 K(x,K(y,z) \ (u * (w / y))) = K(x,u * (w / T(y,z))). [para(6823(a,1),15803(a,2,2,2))]. 15805 K(x,K(L(y,z,u),w) \ (v5 * v6)) = K(x,v5 * (v6 * L(K(w,y),z,u))). [para(11214(a,2),15803(a,2,2,2,2))]. 15806 K(x,K(y,z) \ ((y \ u) * w)) = K(x,(T(y,z) \ u) * w). [para(15801(a,1),14096(a,1)),flip(a)]. 15807 K(x,(T(y,z) \ (y * u)) * w) = K(x,K(y,z) \ (u * w)). [para(13(a,1),15806(a,1,2,2,1)),flip(a)]. 15808 K(x,K(y,z) \ (u * w)) \ K(x,K(K(y,z) \ u,w)) = K(w * (T(y,z) \ (y * u)),x). [para(15807(a,1),14601(a,1,1))]. 15809 T(x,L(K(y,z),u,w) \ (v5 * v6)) = T(x,v5 * (L(K(y,z),u,w) \ v6)). [para(11214(a,2),15793(a,1,2,1))]. 15810 K(x,y * (z * L(K(u,w),v5,v6))) = K(x,K(u,w) \ (y * z)). [para(15805(a,1),15798(a,1))]. 15811 K(x,K(y,z) \ (u * (w * y))) = K(x,u * (w * T(y,z))). [para(4660(a,1),15810(a,1,2,2)),flip(a)]. 15812 K(x,K(y,z) \ (u * T(w,y))) = K(x,u * (y \ (w * T(y,z)))). [para(7027(a,1),15810(a,1,2,2)),flip(a)]. 15814 K(x,x * (y * T(z,u))) \ T(x,y * T(z,u)) = R(x,K(z,u) \ (y * z),x). [para(15811(a,1),15069(a,1,1))]. 15815 T(x,y * (L(K(z,u),w,v5) \ v6)) = T(x,K(z,u) \ (y * v6)). [para(15809(a,1),15783(a,1))]. 15817 K(x,(K(y,z) * ((K(u,T(w,v5)) \ v6) / K(y,z))) \ v7) = K(x,v6 \ (K(w,T(u,v5)) \ v7)). [para(6573(a,1),15669(a,1,2,1,2,1,1))]. 15818 K(x,K(y,z)) \ (u * ((x * T(K(y,z),w)) / x)) = u * K(y,T(z,w)). [para(14521(a,1),15693(a,2,2))]. 15819 K(x,K(y,z)) \ (u * ((z * T(K(x,y),w)) / z)) = u * K(x,T(y,w)). [para(7378(a,2),15818(a,1,1))]. 15821 K(x,K(y,z)) \ (u * ((z * K(x,T(y,w))) / z)) = u * K(x,T(y,w)). [para(6535(a,2),15819(a,1,2,2,1,2))]. 15822 K(x,K(y,z)) \ (u * K(x,T(T(y,w),z))) = u * K(x,T(y,w)). [para(7464(a,1),15821(a,1,2,2))]. 15824 L(K(x,T(y,z)),u,u \ z) * z = (K(y,x) \ u) * (u \ T(z,K(y,x))). [para(15544(a,1),15695(a,1))]. 15825 (K(x,y) \ z) * (z \ T(u,K(x,y))) = (u / z) * (z * K(y,x)). [para(15824(a,1),11305(a,1))]. 15826 a(x,(y \ T(z,K(u,w))) \ ((K(u,w) \ y) \ v5),x) = a(x,((z / y) * (y * K(w,u))) \ v5,x). [para(15825(a,1),13060(a,1,2,1)),flip(a)]. 15827 T(x,L(y,z,K(u,w))) = T(x,y). [hyper(11379,a,15685,a)]. 15828 T(x / L(y,z,K(u,w)),y) = L(y,z,K(u,w)) \ x. [para(15827(a,1),111(a,1))]. 15830 T(x,(K(y,z) \ u) \ w) = T(x,u \ (K(y,z) * w)). [para(343(a,1),15827(a,1,2)),flip(a)]. 15831 T(x,T((K(y,z) * u) \ w,v5)) = T(x,T(u \ (K(y,z) \ w),v5)). [para(406(a,1),15827(a,1,2))]. 15832 L(x,y,K(z,u)) \ (K(u,z) \ (y * x)) = T(K(u,z) \ y,x). [para(5513(a,1),15828(a,1,1)),flip(a)]. 15833 T(x,(K(y,z) \ u) \ w) = T(x,u \ (K(z,y) \ w)). [para(4906(a,2),15830(a,2,2,2))]. 15834 T(x,T((K(y,z) \ u) \ w,v5)) = T(x,T(u \ (K(z,y) \ w),v5)). [para(4906(a,2),15831(a,1,2,1,1))]. 15835 T(x,T((K(y,z) \ u) \ (T(K(z,y),w) * v5),v6)) = T(x,T(u \ (T(K(z,y),w) * (K(z,y) \ v5)),v6)). [para(799(a,1),15834(a,2,2,1,2))]. 15836 T(x,T(y \ (K(z,u) \ w),y)) = T(x,w / (K(u,z) \ y)). [para(15834(a,1),14842(a,1))]. 15837 T(x,(K(y,z) \ u) / w) = T(x,u / (K(z,y) \ w)). [para(15836(a,1),7690(a,1)),flip(a)]. 15838 T(x,y / (K(y,z) \ u)) = T(x,T(y,z) / u). [para(4563(a,2),15837(a,1,2,1)),flip(a)]. 15839 T(x,T(y,T(z,u)) / (K(z,T(y,u)) \ w)) = T(x,y / w). [para(6598(a,1),15838(a,1,2,2)),flip(a)]. 15840 T(x,T(y,z) / (K(z,T(y,u)) \ w)) = T(x,y / w). [para(15839(a,1),15138(a,1)),flip(a)]. 15843 (K(x,y) \ z) \ (K(x,y) \ (u * T(u \ z,w))) = K((z \ u) \ 1,w). [para(15705(a,1),5893(a,1))]. 15844 (K(x,y) \ z) \ (K(x,y) \ (u * T(u \ z,T((u \ z) \ w,v5)))) = K(u \ z,T(z \ (u * w),v5)). [para(15705(a,1),11224(a,1))]. 15845 T(x,(y * K(z,u)) * L(K(u,z),w,v5)) = T(x,y * K(K(u,z),K(u,z) \ y)). [para(6792(a,1),15785(a,1,2,1))]. 15846 R(x,K(y,z) \ (u * y),x) = R(x,u * T(y,z),x). [para(15814(a,1),5016(a,1))]. 15847 T(x,y * K(K(z,u),K(z,u) \ y)) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(9228(a,1),15845(a,1,2)),flip(a)]. 15848 T(x,y * K(K(z,u),K(u,z) * y)) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(4906(a,1),15847(a,1,2,2,2))]. 15849 T(x,y * K(z,K(u,K(u,z) * y))) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(7351(a,1),15848(a,1,2,2))]. 15850 T(x,y * (K(z,u) * L(K(u,z),w,v5))) = T(x,y). [para(15849(a,1),15136(a,1))]. 15851 T(x,y * a(z,u,K(w,v5))) = T(x,y). [para(9331(a,1),15850(a,1,2,2))]. 15853 K((T(x,y) \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K(((y * a(z,u,K(w,v5))) / x) \ 1,v6). [para(15851(a,1),12865(a,1,1,1,1))]. 15854 T(x,T(y,a(z,u,K(w,v5)) * v6)) = T(x,T(y,v6)). [para(15851(a,1),14474(a,1,2)),flip(a)]. 15855 T(x,y) \ T(T(x,z),T(y,a(u,w,K(v5,v6)) * z)) = K(x,z * a(u,w,K(v5,v6))). [para(15851(a,1),14564(a,1,2,1))]. 15856 K((x * L(K(y,z),u,w)) \ v5,v6) = K(x \ (L(K(z,y),u,w) * v5),v6). [para(15722(a,1),4675(a,1))]. 15857 K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K(x \ (L(K(u,z),w,v5) * y),v8). [para(15856(a,1),15190(a,2))]. 15858 K(x,y \ ((z * K(u,w)) \ (v5 * (K(w,u) \ z)))) = K(x,y \ T(v5,z / K(w,u))). [para(6792(a,1),15745(a,1,2,2,1))]. 15859 (x / y) \ (K(y,K(z,u)) \ T(x,w)) = T((x / y) \ T(x,w),K(z,u)). [para(14874(a,1),15758(a,1,2,1))]. 15861 (x / T(y,K(z,u))) \ T(x,w) = T((x / y) \ T(x,w),K(z,u)). [para(15859(a,1),15661(a,1)),flip(a)]. 15862 K(x,y * a(z,u,K(w,v5))) = T(x,v6) \ T(T(x,y),T(v6,y)). [para(15854(a,1),15855(a,1,2)),flip(a)]. 15863 K(x,y * a(z,u,K(w,v5))) = K(x,y). [para(15862(a,2),7694(a,1))]. 15865 K(x * a(y,z,K(u,w)),v5) = (v6 * K(v5,x)) \ v6. [para(15863(a,1),6793(a,1,1,2)),flip(a)]. 15866 K(x * a(y,z,K(u,w)),v5) = K(x,v5). [para(15865(a,2),4675(a,1))]. 15867 K(x,y \ (z \ T(u * z,K(w,v5)))) = K(x,y \ T(u,z / K(v5,w))). [para(15077(a,1),15858(a,1,2,2))]. 15868 K(x,y \ T(z,u / K(w,v5))) = K(x,y \ (u \ (z * u))). [para(15867(a,1),15743(a,1))]. 15869 K(x,y \ T(z,u / K(w,v5))) = K(x,y \ T(z,u)). [para(32(a,2),15868(a,2,2,2))]. 15871 K(x,y \ T(z,K(u,w) \ v5)) = K(x,y \ T(z,v5)). [para(6704(a,1),15869(a,1,2,2,2))]. 15872 K(x,y \ T(z,T(u,w) \ v5)) = K(x,y \ T(z,u \ v5)). [para(4903(a,1),15871(a,1,2,2,2))]. 15873 K(x,(T(y,z) \ u) \ T(w,y \ u)) = K(x,w / (T(y,z) \ u)). [para(15872(a,1),14142(a,1))]. 15874 K(x,(T(y,z) \ z) \ T(u,y \ z)) = K(x,u / (y \ T(z,y))). [para(3861(a,1),15873(a,2,2,2))]. 15875 (x * T(y,T(z,u))) \ (w * T(y,T(z,u))) = (x * T(y,z)) \ (w * T(y,z)). [para(15625(a,1),635(a,1))]. 15877 (x * T(y,T(z,u))) \ (z * T(y,T(z,u))) = (x * T(y,z)) \ (y * z). [para(109(a,1),15875(a,2,2))]. 15878 T(x,T(y / T(L(K(z,u),w,v5) * v6,K(v7,v8)),(L(K(z,u),w,v5) \ K(v7,v8)) \ v6)) = T(x,(K(L(u,w,v5),z) \ v6) \ T(y,K(v7,v8))). [para(11228(a,2),15659(a,2,2,1))]. 15879 K(x * (T(y,z) \ (y * u)),w) = K(w,K(y,z) \ (u * x)) \ K(u,K(w,x)). [para(14880(a,1),15808(a,1,2)),flip(a)]. 15880 K(x * (T(y,z) \ (y * u)),w) = K(w,K(y,z) \ (u * x)) \ K(w,K(u,x)). [para(7374(a,1),15879(a,2,2))]. 15882 K(x,(K(y,T(z,u)) * ((K(w,T(v5,v6)) \ v7) * K(z,T(y,u)))) \ v8) = K(x,v7 \ (K(v5,T(w,v6)) \ v8)). [para(6805(a,1),15817(a,1,2,1,2))]. 15883 (K(x,K(y,z)) \ (u * w)) \ (u * (K(x,K(y,z)) * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). [para(15690(a,2),15573(a,1,1))]. 15884 (K(x,K(y,z)) \ (u * w)) \ (K(x,K(y,z)) \ (u * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). [para(15690(a,2),15883(a,1,2))]. 15885 L(L(x,y,z),z * y,K(K(u,w),v5)) = L(x,K(v5,K(u,w)) * y,z). [para(15884(a,1),5518(a,1)),flip(a)]. 15886 L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,K(v5,K(u,w)) * y,z). [para(7351(a,1),15885(a,1,3))]. 15887 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). [para(15886(a,1),15556(a,1))]. 15888 L(x,K(y,K(z,u)) \ w,v5) = L(x,w,v5). [para(14(a,1),15887(a,1,2)),flip(a)]. 15890 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * ((z * L(K(x,y),u,w)) / z). [para(7438(a,1),15630(a,1,1))]. 15892 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * L(K(x,T(y,z)),u,w). [para(7530(a,1),15890(a,2,2))]. 15893 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = L(K(x,y),u,w) * z. [para(15892(a,2),6538(a,1))]. 15894 (K(x,y) * z) * a(x,u,K(w,y)) = L(K(x,y),u,w) * z. [para(13428(a,1),15893(a,1,2))]. 15895 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(K(y,x) * L(K(x,y),u,w),y)) = L(K(x,y),u,w) * z. [para(15893(a,1),13402(a,2))]. 15896 K(x,T((T(y,z) \ 1) \ z,u) \ w) = K(x,(y * (T((y \ 1) \ z,u) / T(y,K(v5,v6)))) \ w). [para(15696(a,1),15760(a,2,2,1))]. 15897 a(x,(y \ T(z,K(u,w))) \ ((K(u,w) \ y) \ v5),x) = a(x,(y * K(w,u)) \ ((z / y) \ v5),x). [para(15826(a,2),13060(a,1))]. 15898 K(((x \ y) * x) / (L(K(z,u),w,v5) * x),v6) = K(x \ (L(K(u,z),w,v5) * y),v6). [para(1194(a,1),15857(a,1,1,2))]. 15899 a(x,(y \ T(z,K(u,w))) \ ((K(u,w) \ y) \ v5),x) = a(x,K(w,u) \ (y \ ((z / y) \ v5)),x). [para(15897(a,2),13060(a,1))]. 15900 a(x,(y \ T(z,K(u,w))) \ ((K(w,u) \ y) \ v5),x) = a(x,K(u,w) \ (y \ ((z / y) \ v5)),x). [para(7431(a,1),15899(a,1,2,1,2))]. 15901 a(x,T(y,K(z,u)) \ (w * ((K(u,z) \ w) \ v5)),x) = a(x,K(z,u) \ (w \ ((y / w) \ v5)),x). [para(15900(a,1),13062(a,1)),flip(a)]. 15902 K((x * K(y,z)) * L(u,x,K(y,z)),w) = K(w,K(z,y) \ (u * x)) \ K(w,K(u,x)). [para(14866(a,1),15607(a,1,2)),flip(a)]. 15905 K(x,K(y,z) \ (u * w)) \ K(x,K(u,w)) = K(K(y,T(z,w)) \ (w * u),x). [para(15769(a,1),15902(a,1,1)),flip(a)]. 15906 K(x,K(y,z) \ (u * w)) \ K(x,K(u,w)) = K(K(y,z) \ (w * u),x). [para(15905(a,2),15731(a,1))]. 15908 K(x * (T(y,z) \ (y * u)),w) = K(K(y,z) \ (x * u),w). [para(15906(a,1),15880(a,2))]. 15909 K(K(x,y) \ (z * (u / x)),w) = K(z * (u / T(x,T(y,u))),w). [para(14649(a,1),15908(a,1,1,2)),flip(a)]. 15910 K(K(x,y) \ (z * (u / x)),w) = K(z * (u / T(x,y)),w). [para(15909(a,2),15700(a,1))]. 15911 K(K(x,y) \ (z * (u / y)),w) = K(z * (u / T(y,x)),w). [para(15910(a,1),15026(a,1)),flip(a)]. 15913 (K(x,K(y,z)) \ (u * w)) / (K(x,K(y,z)) \ w) = R(u,T(K(x,K(y,z)),w),T(w,K(x,K(y,z)))). [para(7421(a,2),15649(a,1,2))]. 15914 R(x,T(K(y,K(z,u)),w),T(w,K(y,K(z,u)))) = x. [para(15913(a,1),15692(a,1))]. 15915 R(x,K(y,K(z,u)),w) = x. [para(15914(a,1),7247(a,1)),flip(a)]. 15916 (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). [para(15915(a,1),104(a,1,1)),flip(a)]. 15918 ((x * y) * (K(z,K(u,w)) * v5)) / ((y * K(z,K(u,w))) * v5) = R(x,R(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5). [para(15915(a,1),366(a,1,1,1,2))]. 15920 L(x,K(y,K(z,u)),w) = x. [hyper(329,a,15916,a)]. 15921 (x / (K(y,K(z,u)) * w)) * K(y,K(z,u)) = x / w. [para(15920(a,1),258(a,1,2)),flip(a)]. 15922 L(K(x,K(y,z)) \ u,w * K(x,K(y,z)),v5) = (v5 * (w * K(x,K(y,z)))) \ (v5 * (w * u)). [para(15920(a,1),357(a,1,1))]. 15924 x / (K(y,K(z,u)) * w) = K(y,K(z,u)) \ (x / w). [para(15921(a,1),14444(a,1,2)),flip(a)]. 15925 K(x,K(y,z)) \ (u / (K(x,K(y,z)) \ w)) = u / w. [para(14(a,1),15924(a,1,2)),flip(a)]. 15926 K(x,K(y,z)) \ (u / (w / x)) = u / (w / T(x,K(y,z))). [para(14453(a,1),15924(a,1,2)),flip(a)]. 15927 (x / T(y,K(z,u))) / (w / y) = (x / y) / (w / T(y,K(z,u))). [para(15926(a,1),15674(a,1)),flip(a)]. 15928 (T(x,T(y,z)) / z) / (u / z) = (T(x,y) / z) / (u / T(z,K(x,y))). [para(14667(a,2),15927(a,1,1))]. 15929 L(K(x,K(y,z)) \ u,K(x,K(y,z)) \ w,v5) = (v5 * (w * K(x,K(y,z)))) \ (v5 * (w * u)). [para(14450(a,2),15922(a,1,2))]. 15930 (x * (y * K(z,K(u,w)))) \ (x * (y * v5)) = L(K(z,K(u,w)) \ v5,y,x). [para(15929(a,1),15888(a,1))]. 15931 (x * (K(y,K(z,u)) \ w)) \ (x * (w * v5)) = L(K(y,K(z,u)) \ v5,w,x). [para(14450(a,2),15930(a,1,1,2))]. 15933 (K(x,K(y,z)) \ (u * w)) \ (u * (w * v5)) = L(K(x,K(y,z)) \ v5,w,u). [para(15687(a,2),15931(a,1,1))]. 15934 L(K(x,K(y,z)) \ u,w,v5) = K(x,K(y,z)) \ L(u,w,v5). [para(15933(a,1),15736(a,1))]. 15935 K(x,K(y,z)) \ (u * L(w,v5,v6)) = u * L(K(x,K(y,z)) \ w,v5,v6). [para(15934(a,2),15687(a,2,2))]. 15936 K(x,K(y,z)) \ (u * L(K(x,y),w,v5)) = u * L(K(x,T(y,z)),w,v5). [para(7673(a,1),15935(a,2,2,1))]. 15937 T(x,T((y / (z * L(K(u,w),v5,v6))) * K(u,K(w,v7)),K(u,K(w,v7)) \ (z * L(K(u,w),v5,v6)))) = T(x,L(z * L(K(u,T(w,v7)),v5,v6),K(u,K(w,v7)),y / (z * L(K(u,w),v5,v6))) \ y). [para(15936(a,1),15637(a,1,2,1,1)),flip(a)]. 15938 T(x,T((K(y,z) \ u) \ (K(z,T(y,w)) * v5),v6)) = T(x,T(u \ (T(K(z,y),w) * (K(z,y) \ v5)),v6)). [para(6535(a,2),15835(a,1,2,1,2,1))]. 15939 (K(x,y) \ z) \ (K(x,y) \ (u * T(u \ z,(u \ z) \ T(w,v5)))) = K(u \ z,T(z \ (u * w),v5)). [para(10934(a,2),15844(a,1,2,2,2))]. 15940 K(x,(K(y,T(z,u)) * (K(w,T(v5,v6)) \ (v7 * K(z,T(y,u))))) \ v8) = K(x,v7 \ (K(v5,T(w,v6)) \ v8)). [para(15590(a,2),15882(a,1,2,1,2))]. 15941 T(x,T((K(y,z) \ u) \ (K(y,T(z,w)) \ v5),v6)) = T(x,T(u \ (T(K(z,y),w) * (K(z,y) \ v5)),v6)). [para(6597(a,2),15938(a,1,2,1,2))]. 15942 K((x \ y) \ 1,(y \ x) \ T(z,u)) = K(y \ x,T(x \ (y * z),u)). [para(15939(a,1),15843(a,1)),flip(a)]. 15943 K(x \ y,y \ (x * T(z,u))) = K(x \ y,T(y \ (x * z),u)). [para(15942(a,1),10498(a,1)),flip(a)]. 15944 T((x * (((x \ y) \ z) \ z)) / y,u) = (y * K(x \ y,y \ (x * T(z,u)))) / y. [para(15943(a,2),10545(a,2,1,2))]. 15945 T((x * (((x \ y) \ z) \ z)) / y,u) = (K((x * T(z,u)) / y,x \ y) \ y) / y. [para(6660(a,2),15944(a,2,1))]. 15946 T((x * (((x \ y) \ z) \ z)) / y,u) = K(x \ y,(x * T(z,u)) / y). [para(15945(a,2),4908(a,1))]. 15948 T((x * (((x \ y) \ z) \ z)) / y,u) = K(x \ y,y \ (T(z,u) * x)). [para(15946(a,2),13982(a,1))]. 15949 K(x \ y,y \ (T(z,K(u,w)) * x)) = (x * (((x \ y) \ z) \ z)) / y. [para(15948(a,1),15243(a,1))]. 15950 (x * (((x \ y) \ z) \ z)) / y = K(x \ y,y \ (z * x)). [para(1194(a,1),15949(a,1,2,2,1)),flip(a)]. 15951 K(x \ y,y \ (x * z)) \ K(x,K(y,z)) = K(x \ y,y \ (z * x)) \ 1. [para(15950(a,1),15240(a,2,1))]. 15952 K(x \ y,y \ (x * z)) \ K(x,K(y,z)) = K(y \ (z * x),x \ y). [para(15951(a,2),4796(a,1))]. 15953 K(T(x,x \ 1) \ L(x,y,z),x * (L(1 / (1 / x),y,z) \ u)) \ K(T(x,x \ 1),K(L(x,y,z),u)) = K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)). [para(11888(a,1),15952(a,1,1,2))]. 15954 K(x,(y * K(z,T(u,w))) \ v5) = K(x,y \ (K(z,T(u,w)) \ v5)). [para(14(a,1),15940(a,1,2,1))]. 15955 (K(x,K(y,z)) \ (u * w)) \ ((K(x,K(y,z)) * u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(7421(a,2),15575(a,1,1))]. 15956 (K(x,K(y,z)) \ ((u * w) * v5)) / ((w * K(x,K(y,z))) * v5) = R(u,R(w,K(x,K(y,z)),v5),K(x,K(y,z)) * v5). [para(15690(a,2),15918(a,1,1))]. 15957 (K(x,K(y,z)) \ (u * w)) \ ((K(K(y,z),x) \ u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(4906(a,2),15955(a,1,2,1))]. 15958 (K(x,K(y,z)) \ ((u * w) * v5)) / ((K(x,K(y,z)) \ w) * v5) = R(u,R(w,K(x,K(y,z)),v5),K(x,K(y,z)) * v5). [para(14450(a,2),15956(a,1,2,1))]. 15959 (K(x,K(y,z)) \ (u * w)) \ ((K(y,K(x,z)) \ u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(7377(a,1),15957(a,1,2,1,1))]. 15960 (K(x,K(y,z)) \ ((u * w) * v5)) / (K(x,K(y,z)) \ (w * v5)) = R(u,R(w,K(x,K(y,z)),v5),K(x,K(y,z)) * v5). [para(15543(a,2),15958(a,1,2))]. 15961 (K(x,K(y,z)) \ (u * w)) \ (K(x,K(y,z)) \ (u * (w * v5))) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(15648(a,2),15959(a,1,2))]. 15962 K(x,K(y,z)) \ (((u * w) * v5) / (K(x,K(y,z)) \ (w * v5))) = R(u,R(w,K(x,K(y,z)),v5),K(x,K(y,z)) * v5). [para(15960(a,1),15663(a,1)),flip(a)]. 15963 L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = (z * y) \ (z * (y * x)). [para(15961(a,1),15650(a,1))]. 15964 L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = L(x,y,z). [para(15963(a,2),28(a,2)),flip(a)]. 15966 L(x,y,K(z,K(u,w)) * v5) = L(x,y,v5). [para(15556(a,1),15964(a,1,2))]. 15968 L(x,y,K(z,T(u,w))) = L(x,y,K(z,u)). [para(6550(a,1),15966(a,1,3))]. 15969 L(x,K(y,K(z,u)) \ w,K(v5,T(v6,v7))) = L(x,w,K(v5,v6)). [para(15968(a,1),15888(a,2))]. 15970 R(x,R(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) = ((x * y) * v5) / (y * v5). [para(15962(a,1),15925(a,1))]. 15971 R(x,R(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) = R(x,y,v5). [para(15970(a,2),30(a,2)),flip(a)]. 15973 R(x,y,K(z,K(u,w)) * v5) = R(x,y,v5). [para(15915(a,1),15971(a,1,2))]. 15974 R(x,y,K(z,K(u,w)) \ v5) = R(x,y,v5). [para(14(a,1),15973(a,1,3)),flip(a)]. 15976 R(x,y,z \ K(u,T(w,v5))) = R(x,y,z \ K(u,w)). [para(14779(a,1),15974(a,1,3))]. 15977 (K(x,K(y,z)) \ (u * (w * v5))) \ ((u * (K(x,K(y,z)) * w)) * v5) = a(u,K(x,K(y,z)) * w,L(v5,w,K(x,K(y,z)))). [para(15690(a,2),15576(a,1,1))]. 15978 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(K(x,y) * K(y,x),y)) = L(K(x,y),u,w) * z. [para(15795(a,1),15895(a,1,2,3))]. 15979 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(1,y)) = L(K(x,y),u,w) * z. [para(4800(a,1),15978(a,1,2,3,1))]. 15981 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * 1 = L(K(x,y),u,w) * z. [para(268(a,1),15979(a,1,2))]. 15983 K(x,y) * (z * (K(y,x) * L(K(x,y),u,w))) = L(K(x,y),u,w) * z. [hyper(75,a,15981,a)]. 15985 K(x,y) * (z * a(x,u,K(w,y))) = L(K(x,y),u,w) * z. [para(13428(a,1),15983(a,1,2,2))]. 15986 L(K(x,y),z * a(x,u,K(w,y)),v5) \ ((L(K(x,y),u,w) * z) * v5) = (z * a(x,u,K(w,y))) * v5. [para(15985(a,1),13902(a,1,2,1))]. 15987 K(x,y) \ ((L(K(x,y),z,u) * w) * K(v5,v6)) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(15555(a,1),15986(a,1,1))]. 15988 K(x,y) \ (L(K(x,y),z,u) * (w * K(v5,v6))) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(15598(a,1),15987(a,1,2))]. 15989 K(x,y) * (L(K(y,x),z,u) * (w * K(v5,v6))) = (w * a(y,z,K(u,x))) * K(v5,v6). [para(15988(a,1),4906(a,1)),flip(a)]. 15990 (x * a(y,z,K(u,w))) * K(v5,v6) = a(y,z,K(u,w)) * (x * K(v5,v6)). [para(15989(a,1),13432(a,1))]. 15992 (a(x,y,K(z,u)) \ w) * a(x,y,K(z,u)) = w. [hyper(6445,a,15990,a)]. 15994 a(x,y,K(z,u)) * (w * K(w * a(x,y,K(z,u)),v5)) = T(w * a(x,y,K(z,u)),v5). [para(15990(a,1),4597(a,2)),flip(a)]. 15996 (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. [para(13433(a,1),15992(a,1,1))]. 15997 a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). [para(9687(a,1),15996(a,1,1)),flip(a)]. 15998 a(x,y,K(z,u)) * (w * K(w,v5)) = T(w * a(x,y,K(z,u)),v5). [para(15866(a,1),15994(a,1,2,2))]. 15999 T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). [para(4597(a,2),15998(a,1,2)),flip(a)]. 16001 x \ (y * T((a(z,u,K(w,v5)) * (y \ x)) * a(v5,u,K(w,z)),v6)) = K((x \ (y * a(v5,u,K(w,z)))) \ 1,v6). [para(15999(a,2),13538(a,1,2,2))]. 16002 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = x \ (y * T(y \ x,v6)). [para(15996(a,1),16001(a,1,2,2,1)),flip(a)]. 16003 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K((x \ y) \ 1,v6). [para(16002(a,2),4838(a,1))]. 16005 K((T(x,y) \ y) \ 1,z) = K(((y * a(u,w,K(v5,v6))) / x) \ 1,z). [para(16003(a,1),15853(a,1))]. 16006 K(((x * a(y,z,K(u,w))) / v5) \ 1,v6) = K((x / v5) \ 1,v6). [para(16005(a,1),12865(a,1))]. 16008 K(x / (y * a(z,u,K(w,v5))),v6) = K((y / x) \ 1,v6). [para(16006(a,1),5297(a,1)),flip(a)]. 16009 K(x / (y * a(z,u,K(w,v5))),v6) = K(x / y,v6). [para(16008(a,2),5297(a,1))]. 16010 K(x / (L(K(y,z),u,w) * v5),v6) = K(x / (K(y,z) * v5),v6). [para(15894(a,1),16009(a,1,1,2))]. 16011 K(x \ (L(K(y,z),u,w) * v5),v6) = K(((x \ v5) * x) / (K(z,y) * x),v6). [para(16010(a,1),15898(a,1)),flip(a)]. 16012 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * (x * (x \ v5))),v6). [para(16011(a,2),15671(a,1))]. 16014 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * v5),v6). [para(14(a,1),16012(a,2,1,2,2))]. 16016 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (K(u,y) * v6),v7). [para(16014(a,1),15670(a,2))]. 16017 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K(x \ (K(y,z) * (K(u,y) * v6)),v7). [para(16016(a,2),15656(a,1))]. 16019 K(x \ ((K(y,z) * L(K(y,z) \ 1,u,w)) * v5),v6) = K(x \ v5,v6). [para(4907(a,1),16017(a,2,1,2))]. 16020 K(x \ ((K(y,z) * L(K(z,y),u,w)) * v5),v6) = K(x \ v5,v6). [para(4796(a,1),16019(a,1,1,2,1,2,1))]. 16021 K(x \ (a(y,z,K(u,w)) * v5),v6) = K(x \ v5,v6). [para(9331(a,1),16020(a,1,1,2,1))]. 16022 K(x \ (y * a(z,u,K(w,v5))),v6) = K(x \ y,v6). [para(15997(a,1),16021(a,1,1,2))]. 16023 K(x \ ((y * z) * K(u,w)),v5) = K(x \ (y * (z * K(u,w))),v5). [para(83(a,1),16022(a,1,1,2))]. 16024 K((x * K(y,z)) \ (x * (u * K(y,z))),w) = K(u,w). [para(16023(a,1),15716(a,1))]. 16025 K(L(T(x,K(y,z)),K(y,z),u),w) = K(x,w). [para(157(a,1),16024(a,1,1))]. 16026 K(L(x,K(y,z),u),T(w,K(y,z))) = K(x,w). [para(16025(a,1),6577(a,1)),flip(a)]. 16027 K(L(x,K(y,z),u),w) = K(x,w). [para(16026(a,1),14455(a,1)),flip(a)]. 16028 K((x * K(y,z)) \ u,w) = K(K(y,z) \ (x \ u),w). [para(193(a,1),16027(a,1,1))]. 16031 L(K(x,y),K(z,u),w) = K(x,y). [para(16027(a,1),11250(a,2))]. 16034 K(x / (K(y,z) \ u),w) = K((x / u) * K(y,z),w). [para(16027(a,1),13975(a,1)),flip(a)]. 16040 (x * K(y,z)) * K(u,w) = x * (K(y,z) * K(u,w)). [para(16031(a,1),95(a,1,2))]. 16041 x \ (K(y,z) * (x * K(u,w))) = K(u,w) * T(K(y,z),x * K(u,w)). [para(16031(a,1),443(a,1,2,1))]. 16042 T(x * K(y,z),L(K(u,w),K(y,z),x)) = K(u,w) \ (x * (K(y,z) * K(u,w))). [para(16031(a,1),335(a,1,1)),flip(a)]. 16045 L(K(x,y),L(K(z,u),w,v5),v6) = K(x,y). [para(5417(a,1),16031(a,1,2))]. 16051 T(x,L(y,K(z,u),w)) = x * K(x,y). [para(16031(a,1),11226(a,1,2)),flip(a)]. 16052 K(x,(y * K(z,u)) \ w) = K(x,K(z,u) \ (y \ w)). [para(16031(a,1),11220(a,1)),flip(a)]. 16053 K(x,T((y * K(z,u)) \ w,v5)) = K(x,T(K(z,u) \ (y \ w),v5)). [para(16031(a,1),11222(a,1)),flip(a)]. 16056 K(x,(y / z) / K(u,w)) = K(x,y / (K(u,w) * z)). [para(16031(a,1),13895(a,1))]. 16058 K(x,T((y / z) / K(u,w),v5)) = K(x,T(y / (K(u,w) * z),v5)). [para(16031(a,1),14029(a,1))]. 16059 K(x,T((y / z) \ (u * (K(w,z \ y) \ (y / z))),K(w,z \ y))) = K(x,(z \ y) \ (u * T(z \ y,w))). [para(16031(a,1),15392(a,1)),flip(a)]. 16061 T(x,L(y,K(z,u),w)) = T(x,y). [para(16051(a,2),4597(a,2)),flip(a)]. 16062 T(x,(y * K(z,u)) \ w) = T(x,K(z,u) \ (y \ w)). [para(193(a,1),16061(a,1,2))]. 16063 T(x,L(y,L(K(z,u),w,v5),v6)) = T(x,y). [para(5417(a,1),16061(a,1,2,2))]. 16066 T(x,(y / z) / K(u,w)) = T(x,y / (K(u,w) * z)). [para(16061(a,1),13877(a,1))]. 16068 K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,L(K(z,u),w,v5) \ (y \ v6)). [para(16045(a,1),11220(a,1)),flip(a)]. 16070 T(x,(y * L(K(z,u),w,v5)) \ v6) = T(x,L(K(z,u),w,v5) \ (y \ v6)). [para(193(a,1),16063(a,1,2))]. 16071 K(K(x,x \ y) \ (y \ z),u) = K((x * (y / x)) \ z,u). [para(4792(a,1),16028(a,1,1,1)),flip(a)]. 16072 K(x / (y * K(z,u)),T(w,K(u,z) \ y)) = K(K(z,u) \ (y \ x),w). [para(16028(a,1),14397(a,2))]. 16073 K(K(x,y) \ (z \ u),K(y,x) \ z) \ u = (z * K(x,y)) * (u / (z * K(x,y))). [para(16028(a,1),14572(a,1,1))]. 16074 K(K(x,y) \ (z \ u),T(w,z)) = K(u / (K(y,x) \ z),w). [para(16028(a,1),15164(a,1))]. 16075 K(x / (K(y,z) \ u),w) = K(K(z,y) \ (x / u),w). [para(16034(a,2),14507(a,2)),flip(a)]. 16077 L(x,K(y,z),K(u,w)) = x. [hyper(14052,a,16040,a)]. 16081 (x * K(y,z)) * K(u,w) = x * (K(w,u) \ K(y,z)). [para(14485(a,2),16040(a,2,2))]. 16082 (K(x,y) * (K(z,u) * w)) / w = K(x,y) * K(z,u). [para(16077(a,1),123(a,1,2))]. 16083 (K(x,y) * K(z,u)) \ w = K(z,u) \ (K(x,y) \ w). [para(16077(a,1),193(a,1)),flip(a)]. 16092 K(x,K(y,z) \ ((u * y) \ w)) = K(x,(u * T(y,z)) \ w). [para(5779(a,1),16052(a,1,2,1)),flip(a)]. 16093 K(x,K(y,z) \ ((u / z) \ w)) = K(x,(u / T(z,y)) \ w). [para(6823(a,1),16052(a,1,2,1)),flip(a)]. 16094 K(x,K(y,T(z,u)) \ (w \ v5)) = K(x,w \ (K(y,T(z,u)) \ v5)). [para(16052(a,1),15954(a,1))]. 16095 K(x,(y / z) / K(u,w)) = K(x,y / (K(w,u) \ z)). [para(4906(a,2),16056(a,2,2,2))]. 16096 T(x,K(y,z) \ ((K(y,z) \ u) \ w)) = T(x,T(u,K(y,z)) \ w). [para(6703(a,1),16062(a,1,2,1)),flip(a)]. 16097 T(x,K(y,z) \ ((u * K(z,y)) \ w)) = T(x,u \ w). [para(6794(a,1),16062(a,1,2,1)),flip(a)]. 16098 T(x,(y / z) / K(u,w)) = T(x,y / (K(w,u) \ z)). [para(4906(a,2),16066(a,2,2,2))]. 16099 K(K(x,y) \ (z / (x * u)),w) = K(z / (T(x,y) * u),w). [para(4882(a,1),16075(a,1,1,2)),flip(a)]. 16100 K(x / (y * K(z,u)),w) = K(K(z,u) \ (x / y),w). [para(16075(a,1),15165(a,1)),flip(a)]. 16102 K(x,y) \ (L(K(y,x),z,u) \ w) = w * (K(x,y) \ K(L(x,z,u),y)). [para(16081(a,1),15684(a,2))]. 16103 T(x * T(y,K(z,u) \ x),K(z,u)) = (y * x) * (K(T(u,x),z) \ K(u,z)). [para(16081(a,1),15774(a,2))]. 16105 (K(x,y) * (K(z,u) \ w)) / w = K(x,y) * K(u,z). [para(4906(a,2),16082(a,1,1,2))]. 16107 (K(x,y) \ K(z,u)) \ w = K(z,u) \ (K(y,x) \ w). [para(4906(a,2),16083(a,1,1))]. 16108 K(x,y / (K(z,u) \ w)) = K(x,K(u,z) \ (y / w)). [para(16095(a,1),14478(a,1))]. 16109 T(x,K(y,z) \ L(K(u * K(z,y),w),u,K(z,y))) = T(x,(w * u) \ ((u * K(z,y)) * R(w,u,K(z,y)))). [para(13899(a,1),16097(a,1,2,2))]. 16110 T(x,y / (K(z,u) \ w)) = T(x,K(u,z) \ (y / w)). [para(16098(a,1),14447(a,1))]. 16111 K(x / (y * L(K(z,u),w,v5)),v6) = K(K(z,L(u,w,v5)) \ (x / y),v6). [para(11214(a,2),16100(a,1,1,2,2))]. 16112 K((K(x,y) \ z) / u,w) = K(K(x,y) \ (z / u),w). [para(16100(a,1),15606(a,2))]. 16113 (K(x,y) \ (K(z,u) \ w)) / w = K(y,x) * K(u,z). [para(4906(a,2),16105(a,1,1))]. 16114 (L(K(x,y),z,u) \ K(w,v5)) \ v6 = K(w,v5) \ (K(L(y,z,u),x) \ v6). [para(11214(a,2),16107(a,1,1,1))]. 16115 K(x,T(x * y,z)) \ (K(x,x * y) \ (K(x * y,T(x,z)) \ T(x,y))) = L(R(x,y,x),K(x,x * y),T(K(x,x * y),z)). [para(16107(a,1),12069(a,1))]. 16116 (x \ T(T(x,y),T(y,z))) \ u = K(x,T(y,z)) \ (K(x,y) \ u). [para(14614(a,1),16107(a,1,1))]. 16117 (L(K(x,y),z,u) \ K(w,v5)) \ v6 = K(L(y,z,u),x) \ (K(w,v5) \ v6). [para(14568(a,2),16107(a,1,1))]. 16118 K(x,K(y \ 1,z * y) \ (u / z)) = K(x,u / ((y \ 1) * (z / (1 / y)))). [para(16108(a,1),9701(a,1))]. 16119 K(x,T(y \ z,K(u,w) \ y)) = K(x,K(w,u) \ ((K(u,w) \ z) / y)). [para(16108(a,1),15720(a,2))]. 16120 T(x,K(y,z) \ (u / (K(y,z) \ w))) = T(x,u / w). [para(4909(a,1),16110(a,1,2,2)),flip(a)]. 16121 T(x,y / (z * K(u,w))) = T(x,K(u,w) \ (y / z)). [para(16110(a,1),15146(a,1)),flip(a)]. 16122 T(x,(K(y,z) \ u) / w) = T(x,K(y,z) \ (u / w)). [para(16110(a,1),15837(a,2))]. 16123 T(x,K(y,z) \ (z / u)) = T(x,T(z,y) / u). [para(16110(a,1),15838(a,1))]. 16124 T(x,K(T(y,z),u) \ (T(y,u) / w)) = T(x,y / w). [para(16110(a,1),15840(a,1))]. 16125 T(x,K(y,T(y,z) \ z) \ ((T(y,z) \ z) / u)) = T(x,(((y \ T(z,y)) \ z) \ z) / u). [para(6943(a,2),16123(a,2,2,1))]. 16126 T(x,K(y,z) \ (y / u)) = T(x,T(y,z) / u). [para(16123(a,1),15010(a,1)),flip(a)]. 16127 K(K(x,y) \ (y / z),u) = K(T(y,x) / z,u). [para(4563(a,2),16112(a,1,1,1)),flip(a)]. 16128 (K(x,y) \ (K(z,u) \ w)) / w = K(x,y) \ K(u,z). [para(16113(a,2),4906(a,2)),flip(a)]. 16129 T(x,K(y,z) \ (u / (K(z,y) \ w))) = T(x,u / w). [para(16120(a,1),15010(a,1)),flip(a)]. 16130 T(x,K(y,z) \ (u / (w \ y))) = T(x,u / (w \ T(y,z))). [para(13461(a,1),16121(a,1,2,2)),flip(a)]. 16131 T(x,K(y,z) \ ((T(z,y) \ u) / w)) = T(x,(z \ u) / w). [para(4971(a,1),16122(a,1,2,1)),flip(a)]. 16132 T(x,T(T(y,z),z) / u) = T(x,y / u). [para(16124(a,1),16126(a,1)),flip(a)]. 16133 T(x,T(y \ z,y) / u) = T(x,(z / y) / u). [para(111(a,1),16132(a,1,2,1,1))]. 16134 T(x,T(T(y,z) \ u,y) / w) = T(x,(u / T(y,z)) / w). [para(16133(a,1),15138(a,1)),flip(a)]. 16135 K(x,y) \ (K(z,u) \ w) = (K(x,y) \ K(u,z)) * w. [para(16128(a,1),16(a,1,1)),flip(a)]. 16136 T(x,y / (K(z,u) \ (K(z,u) \ w))) = T(x,y / w). [para(16129(a,1),16110(a,2))]. 16137 K(x,y) \ (K(z,u) \ w) = (K(z,u) \ K(y,x)) * w. [para(14566(a,1),16135(a,2,1))]. 16138 K(x,y) \ (K(z,u) \ w) = K(z,u) \ (K(x,y) \ w). [para(16137(a,2),16135(a,2))]. 16139 K(x,y) \ (K(z,u) \ y) = K(z,u) \ T(y,x). [para(4563(a,2),16138(a,1,2)),flip(a)]. 16140 K(x,y) \ (K(z,u) \ T(w,K(x,y))) = K(z,u) \ (w * K(y,x)). [para(7436(a,1),16138(a,1,2)),flip(a)]. 16141 K(x,T(y,z)) \ (K(y,x) \ u) = K(x,K(y,z)) \ u. [para(16138(a,1),15672(a,1))]. 16142 R(x,K(y,K(z,u)) \ w,T(K(y,T(z,u)),K(y,T(z,u)) \ (K(z,y) \ w))) * (K(z,y) \ w) = (x * (K(y,T(z,u)) \ (K(z,y) \ w))) * ((K(y,T(z,u)) \ (K(z,y) \ w)) \ (K(z,y) \ w)). [para(16141(a,1),515(a,1,1,2))]. 16143 K(K(x,y) \ (x \ z),u) = K((y * (x / y)) \ z,u). [para(16071(a,1),14686(a,1)),flip(a)]. 16144 K((x * (y / x)) \ z,u) = K(T(y,x) \ z,u). [para(4903(a,1),16143(a,1,1)),flip(a)]. 16145 K(T(x * y,y) \ z,u) = K((y * x) \ z,u). [para(15(a,1),16144(a,1,1,1,2)),flip(a)]. 16146 K(((x \ y) * x) \ z,u) = K(T(y,x) \ z,u). [para(16144(a,1),14195(a,2))]. 16147 K((x * y) \ ((y * T(x,K(y,z))) * u),w) = K(K(y * T(x,K(y,z)),x) \ u,w). [para(16145(a,1),15175(a,1))]. 16148 K(T(x * y,x) \ z,u) = K((y * x) \ z,u). [para(13(a,1),16146(a,1,1,1,1)),flip(a)]. 16149 K((x * y) \ ((y * T(x,K(y,z))) * u),w) = K(K(y * T(x,K(y,z)),y) \ u,w). [para(16148(a,1),15174(a,1))]. 16150 K(K(x,y) \ (z \ u),T(w,z)) = K(K(x,y) \ (u / z),w). [para(16074(a,2),16075(a,1))]. 16151 K(x,K(y,z) \ ((u * z) \ w)) = K(x,(u * T(z,y)) \ w). [para(16092(a,1),14096(a,1)),flip(a)]. 16152 K(x,(y / T(z,z \ u)) \ w) = K(x,K(u,z) \ ((y / z) \ w)). [para(16093(a,1),14273(a,1))]. 16153 K(x,(y / T(z,y)) \ u) = K(x,(z \ y) \ u). [para(16093(a,1),14275(a,1))]. 16154 K(x,(y / T(T(z,y),u)) \ w) = K(x,(T(z,u) \ y) \ w). [para(38(a,1),16153(a,1,2,1,2))]. 16155 K(x,(T(y,y \ z) \ u) \ w) = K(x,(u / ((T(y,u) \ z) \ z)) \ w). [para(6946(a,1),16153(a,1,2,1,2)),flip(a)]. 16156 K(K(x,y) \ (z / (y * u)),w) = K(z / (T(y,x) * u),w). [para(16099(a,1),15026(a,1)),flip(a)]. 16157 K(x / (K(y,z) \ (y * u)),w) = K(x / (T(y,z) * u),w). [para(16156(a,1),16075(a,2))]. 16158 K(x / (T(y,z) * z),u) = K(x / (z * y),u). [para(4534(a,1),16157(a,1,1,2)),flip(a)]. 16159 K(x / ((y \ z) * y),u) = K(x / (y * (z / y)),u). [para(111(a,1),16158(a,1,1,2,1))]. 16160 K(x / ((y \ z) * y),u) = K(x / T(z,y),u). [para(16159(a,2),14689(a,1))]. 16161 L(K(x / (y \ z),u),y \ z,y) = K((x * y) / T(z,y),u). [para(16160(a,1),13915(a,2))]. 16162 K((x * y) / T(1,y),z) / y = (1 / y) * K((1 / y) \ x,z). [para(16161(a,1),13987(a,1,1))]. 16163 L(K(x,T(K(y,z) \ (u \ w),v5)),K(z,y) \ T(u,K(z,y)),K(z,y)) = K(x,T(T(u,K(z,y)) \ (K(z,y) * w),v5)). [para(16053(a,1),11341(a,1,1))]. 16164 K(x,T((y / z) / K(u,w),v5)) = K(x,T(y / (K(w,u) \ z),v5)). [para(4906(a,2),16058(a,2,2,1,2))]. 16165 K(x,y \ (K(z,T(u,w)) \ v5)) = K(x,K(z,u) \ (y \ v5)). [para(16094(a,1),15730(a,1))]. 16166 K(x,y \ (K(z,T(u,w)) \ v5)) = K(x,K(u,z) \ (y \ v5)). [para(16094(a,1),15733(a,1))]. 16167 K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(y,z) \ w)). [para(108(a,1),16165(a,1,2,2,1,2)),flip(a)]. 16168 K(x,K(y,z) \ ((T(z,u) \ w) \ v5)) = K(x,(T(T(z,u),y) \ w) \ v5). [para(16165(a,1),15664(a,1))]. 16170 K(x,(y * z) \ (K(z,T(u,w)) \ v5)) = K(x,(y * T(z,u)) \ v5). [para(16165(a,2),16092(a,1))]. 16171 K(x,K(y,z) \ (u \ (T(y,z) * w))) = K(x,u \ (y * w)). [para(4629(a,1),16167(a,2,2,2))]. 16172 K(x,K(y,z) \ (u \ (z * w))) = K(x,u \ (T(z,y) * w)). [para(4882(a,1),16167(a,2,2,2))]. 16173 K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(z,y) \ w)). [para(16167(a,1),14096(a,1)),flip(a)]. 16174 K(x,y \ (K(z \ 1,u) \ w)) = K(x,K(u,z) \ (y \ w)). [para(16167(a,1),14283(a,1))]. 16175 K(x,y \ (K(L(z,u,w),v5) \ v6)) = K(x,K(v5,z) \ (y \ v6)). [para(16167(a,1),15798(a,1))]. 16177 K(x,y \ (K(z,u) \ (y * w))) = K(x,K(u,z) \ w). [para(13(a,1),16173(a,1,2,2)),flip(a)]. 16178 K(x,K(y,z) \ (u \ (y * w))) = K(x,u \ (T(y,z) * w)). [para(4882(a,1),16173(a,2,2,2))]. 16179 K(x,K(y,z) \ ((y \ u) \ w)) = K(x,(T(y,z) \ u) \ w). [para(16173(a,2),15664(a,1))]. 16180 K(x,K(y,z) \ ((T(z,y) \ u) \ w)) = K(x,(z \ u) \ w). [para(16173(a,2),15665(a,1))]. 16181 K(x,y \ (K(z,L(u,w,v5)) \ v6)) = K(x,K(z,u) \ (y \ v6)). [para(16173(a,1),15798(a,1))]. 16182 K(x,T(x \ y,z) \ (x \ (y * u))) = K(x,K(z,x \ y) \ u). [para(16177(a,1),15764(a,2))]. 16183 K(x,K(y,z) \ (u \ (T(y,w) * v5))) = K(x,u \ (T(T(y,w),z) * v5)). [para(4882(a,1),16166(a,1,2,2)),flip(a)]. 16184 K(x,((y * z) / u) \ (T(y,w) * z)) = K(x,K(w,y) \ u). [para(61(a,1),16172(a,1,2,2)),flip(a)]. 16185 K(x,K(y,(z \ 1) / (u / z)) \ ((u / z) \ w)) = K(x,(T(u,y) / z) \ w). [para(16174(a,1),15666(a,1))]. 16186 K(x,(T(y,z) \ 1) \ u) = K(x,T(y \ 1,z) \ u). [para(16179(a,1),14172(a,1))]. 16187 K(x,(T(y,z) \ 1) \ x) = K(x,T(y * x,z)). [para(16186(a,2),13582(a,1))]. 16188 K(x,T(y * x,z)) = K(x,x * T(y,z)). [para(16187(a,1),5182(a,1))]. 16189 K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,K(y,z) \ (v5 \ v6)). [para(16175(a,1),15668(a,2))]. 16190 K(x,y \ (L(K(z,u),w,v5) \ v6)) = K(x,K(z,u) \ (y \ v6)). [para(6099(a,1),16181(a,1,2,2,1))]. 16192 K(x,K(y,z) \ ((L(K(y,z),u,w) \ v5) \ v6)) = K(x,v5 \ v6). [para(16190(a,1),15718(a,1))]. 16193 K(x,K(y,z) \ ((K(L(y,u,w),z) \ v5) \ v6)) = K(x,v5 \ v6). [para(6096(a,1),16192(a,1,2,2,1,1))]. 16195 T(x,K(y,z) \ ((K(y,z) \ u) \ w)) = T(x,u \ w). [para(16096(a,2),15133(a,1))]. 16196 T(x,K(y,z) \ K(K(y,z) \ u,w)) = T(x,u \ T(K(y,z) \ u,w)). [para(4571(a,2),16195(a,1,2,2))]. 16198 L(R(x,x \ y,x),K(x,y),T(K(x,y),z)) = K(x,T(y,z)) \ (K(x,y) \ T(T(x,y),x \ T(y,z))). [para(16116(a,1),15232(a,2))]. 16199 K(x,(y / T(z,z \ u)) \ w) = K(x,(y / T(z,u)) \ w). [para(16152(a,2),16093(a,1))]. 16200 K(x,(y / ((z \ u) \ u)) \ w) = K(x,(y / T(z,u)) \ w). [para(110(a,1),16199(a,1,2,1,2))]. 16201 (1 / x) * K((1 / x) \ y,z) = K(y * x,z) / x. [para(134(a,1),16162(a,1,1,1)),flip(a)]. 16203 (1 / x) * K((x \ 1) \ y,z) = K(y * x,z) / x. [para(5046(a,1),16201(a,1,2))]. 16204 (1 / x) \ (K(y * x,z) / x) = K((x \ 1) \ y,z). [hyper(71,a,16203,a)]. 16205 K((x \ 1) \ (y / x),z) = (1 / x) \ (K(y,z) / x). [para(16(a,1),16204(a,1,2,1,1)),flip(a)]. 16206 (1 / x) \ (K(y,T(z,y)) / x) = (y / x) \ (T(y,z) / x). [para(16205(a,1),11935(a,1))]. 16207 (1 / x) \ (K(y,z) / x) = (y / x) \ (T(y,z) / x). [para(4765(a,1),16206(a,1,2,1))]. 16208 K(x,T(y / (K(z,u) \ w),v5)) = K(x,T((y / w) * K(z,u),v5)). [para(6792(a,1),16164(a,1,2,1)),flip(a)]. 16209 K(x,T(y,z) \ (K(z,T(u,w)) \ v5)) = K(x,((z \ y) * T(z,u)) \ v5). [para(16170(a,1),14181(a,1)),flip(a)]. 16210 K(x,K(y,z) \ T(u / w,v5)) = K(x,T(u / (K(z,y) \ w),v5)). [para(16208(a,2),15103(a,2))]. 16211 K(x,K(y \ T(z,u),y) \ T(w / z,v5)) = K(x,T(w / ((y \ z) * y),v5)). [para(16210(a,2),15127(a,1))]. 16212 x \ (K(y,z) \ (x * K(u,w))) = K(u,w) * T(K(z,y),x * K(u,w)). [para(4906(a,2),16041(a,1,2))]. 16213 K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,K(z,u) \ (y \ v6)). [para(16068(a,2),15797(a,1))]. 16214 K(x,(y * (z * K(u,w))) \ v5) = K(x,K(u,w) \ ((y * z) \ v5)). [para(95(a,1),16213(a,1,2,1))]. 16215 K(x,(K(y,z) \ (u * L(K(w,v5),v6,v7))) \ v8) = K(x,K(w,v5) \ ((K(y,z) \ u) \ v8)). [para(15623(a,2),16213(a,1,2,1))]. 16217 K(x,(y * (K(z,u) \ w)) \ v5) = K(x,K(u,z) \ ((y * w) \ v5)). [para(16214(a,1),15752(a,2))]. 16218 K(x,K(y,z) \ (((z \ u) * z) \ w)) = K(x,(z * (u / T(z,y))) \ w). [para(16217(a,1),14192(a,1))]. 16219 T(x,(y * L(K(z,u),w,v5)) \ v6) = T(x,K(z,u) \ (y \ v6)). [para(16070(a,2),15783(a,1))]. 16221 K(x / (K(y,z) \ u),T(w,K(y,z) \ u)) = K(K(z,y) \ (u \ x),w). [para(16072(a,1),15165(a,2))]. 16222 K(x,y) \ (L(K(y,x),z,u) \ w) = w * a(K(x,y),z,u). [para(14653(a,1),16102(a,2,2))]. 16223 K(x,y) \ (L(K(y,x),z,u) \ w) = a(K(y,x),z,u) \ w. [para(16222(a,2),15643(a,2)),flip(a)]. 16224 a(K(x * y,x),z,u) \ T(x,y) = R(T(x,L(x * y,z,u)),y,x). [para(16223(a,1),11417(a,1))]. 16225 R(T(x,L(x * y,z,u)),y,x) = a(K(y,x),z,u) \ T(x,y). [para(12904(a,1),16224(a,1,1)),flip(a)]. 16226 R(T(x,L(x * y,z,u)),y,x) = T(x,L(y,z,u)). [para(16225(a,2),13541(a,1))]. 16227 L(K(x,x * y),z,u) \ T(x,L(y,z,u)) = R(x,y,x). [para(16226(a,1),11249(a,1,2))]. 16228 L(K(x,x * (y / (z / ((u \ 1) \ 1)))),u \ z,u) \ T(x,(y * u) / z) = R(x,y / (z / ((u \ 1) \ 1)),x). [para(14068(a,1),16227(a,1,2))]. 16229 K(x / (y * L(K(z,u),w,v5)),v6) = K(L(K(z,u),w,v5) \ (x / y),v6). [para(11214(a,2),16111(a,2,1,1))]. 16230 T(x,(L(K(y,z),u,w) \ K(y,z)) \ v5) = T(x,v5). [para(16114(a,2),15788(a,1,2))]. 16231 (L(K(x,y),z,u) \ K(w,v5)) \ v6 = L(K(y,x),z,u) \ (K(w,v5) \ v6). [para(11250(a,2),16117(a,2,1))]. 16232 K(x,T(y \ z,y)) = K(x,K(u,w) \ ((K(w,u) \ z) / y)). [para(16119(a,1),14816(a,1)),flip(a)]. 16233 K(x,K(y,z) \ ((K(z,y) \ u) / w)) = K(x,u / w). [para(16232(a,1),7481(a,1))]. 16235 K(x,K(y,z) \ ((y * z) / u)) = K(x,(z * y) / u). [para(4534(a,1),16233(a,1,2,2,1))]. 16236 K(x,K(y,z) \ (z / u)) = K(x,T(z,y) / u). [para(4676(a,1),16233(a,1,2,2,1))]. 16237 K(x,(K(y,z) \ u) / w) = K(x,K(y,z) \ (u / w)). [para(4909(a,1),16233(a,1,2,2,1)),flip(a)]. 16238 K(x,K(y,z) \ ((z * u) / w)) = K(x,(T(z,y) * u) / w). [para(4629(a,1),16233(a,1,2,2,1))]. 16239 K(x,K(y,z) \ (y / u)) = K(x,T(y,z) / u). [para(16236(a,1),14096(a,1)),flip(a)]. 16240 K(x,K(y,z) \ ((z * y) / u)) = K(x,(y * z) / u). [para(16235(a,1),14096(a,1)),flip(a)]. 16241 K(x,K(y \ z,y) \ (z / u)) = K(x,(y * (z / y)) / u). [para(4822(a,1),16237(a,1,2,1)),flip(a)]. 16242 K(x,(T(y,z) * z) / u) = K(x,(z * y) / u). [para(16238(a,1),16240(a,1))]. 16243 K(x,((y \ z) * y) / u) = K(x,(y * (z / y)) / u). [para(111(a,1),16242(a,1,2,1,1))]. 16244 K(x,(y * ((y * z) / y)) / u) = K(x,(z * y) / u). [para(144(a,1),16242(a,1,2,1,1)),flip(a)]. 16245 T(x,(y * ((y * z) / y)) / u) = x * K(x,(z * y) / u). [para(16244(a,1),4597(a,2,2))]. 16246 K(x,K(y,z) \ (y / u)) = K(x,(z * (y / z)) / u). [para(16241(a,1),14273(a,1)),flip(a)]. 16247 K(x,(y * (z / y)) / u) = K(x,T(z,y) / u). [para(16246(a,1),16239(a,1))]. 16248 K(x,((y \ z) * y) / u) = K(x,T(z,y) / u). [para(16247(a,1),16243(a,2))]. 16249 K((x * y) \ z,T(u,y)) = (((w \ v5) \ v5) * K(u,T(z,x) / (y * x))) \ T(w,w \ v5). [para(16248(a,1),13962(a,2,1,2))]. 16250 T(x,(y * ((y * z) / y)) / u) = T(x,(z * y) / u). [para(16245(a,2),4597(a,2)),flip(a)]. 16251 T(x,(T(y,z) * z) / u) = T(x,(z * y) / u). [para(145(a,1),16250(a,1,2,1,2)),flip(a)]. 16252 T(x,(y * z) / T(y,u)) = T(x,K(y,u) \ T(z,y)). [para(16251(a,1),14560(a,1))]. 16253 T(x,(y * z) / T(y,u)) = T(x,y \ (z * T(y,u))). [para(16252(a,2),15015(a,1))]. 16254 T(x,y \ ((y \ z) * T(y,u))) = T(x,z / T(y,u)). [para(14(a,1),16253(a,1,2,1)),flip(a)]. 16255 K(x,x * (y \ ((y \ z) * T(y,u)))) \ T(x,z / T(y,u)) = R(x,y \ ((y \ z) * T(y,u)),x). [para(16254(a,1),5016(a,1,2))]. 16256 K(x,(T(y,y \ z) \ u) \ w) = K(x,(u / T(T(y,u),z)) \ w). [para(16155(a,2),16200(a,1))]. 16257 K(x,(T(y,y \ z) \ u) \ w) = K(x,(T(y,z) \ u) \ w). [para(16256(a,2),16154(a,1))]. 16258 K(x,(T(T(y,z),z) \ u) \ w) = K(x,(y \ u) \ w). [para(16168(a,1),16180(a,1))]. 16259 K(x,(T(y,y \ z) \ u) \ w) = K(x,((z / (z / y)) \ u) \ w). [para(3830(a,1),16258(a,1,2,1,1,1))]. 16260 K(x,((y / (y / z)) \ u) \ w) = K(x,(T(z,y) \ u) \ w). [para(16259(a,1),16257(a,1))]. 16261 K(x,(T(y,z) \ z) \ u) = K(x,(z / y) \ u). [para(61(a,1),16260(a,1,2,1)),flip(a)]. 16262 K(x,(y / z) \ T(u,z \ y)) = K(x,u / (z \ T(y,z))). [para(16261(a,1),15874(a,1))]. 16263 K(x,y / (z \ T(u,z))) = K(x,y / (u / z)). [para(16262(a,1),14807(a,1))]. 16264 K(x,y / (T(z,u) \ u)) = K(x,y / (u / z)). [para(3861(a,2),16263(a,1,2,2))]. 16265 K(T(x,y),T(z,y) / (y / x)) = K(T(x,y),y \ (z * T(x,y))). [para(16264(a,1),14194(a,1))]. 16266 K(T(x,y),y \ (z * T(x,y))) = K(x,T(T(z,y) / (y / x),y)). [para(16265(a,1),6573(a,1))]. 16267 K(T(x,y),y \ (z * T(x,y))) = K(x,T(T(z,y) / (x \ y),y)). [para(16266(a,2),9731(a,1))]. 16268 K(T(x,y),y \ (z * T(x,y))) = K(x,y \ (x * T(z,y))). [para(16267(a,2),9321(a,1))]. 16269 K(x,(y * T(x,z)) / z) = K(x,z \ (x * T(y,z))). [para(16268(a,1),7494(a,1)),flip(a)]. 16270 K(x,y \ (x * T(z,y))) = K(x,z / (x \ y)). [para(16269(a,1),8315(a,1))]. 16272 K(x,(y / T(z,u)) \ (x * T(w,y / ((z \ u) \ u)))) = K(x,w / (x \ (y / ((z \ u) \ u)))). [para(16270(a,1),16200(a,1)),flip(a)]. 16273 K(x,y \ (T(T(z,u),u) * w)) = K(x,y \ (z * w)). [para(16183(a,1),16171(a,1))]. 16274 K(x,y \ (T(T(z,u),u) * T(w,z))) = K(x,y \ (w * z)). [para(109(a,1),16273(a,2,2,2))]. 16275 K(x,y \ (((z * u) / z) * w)) = K(x,y \ (T(u,z) * w)). [para(144(a,1),16273(a,1,2,2,1,1)),flip(a)]. 16276 L(K(x,(y \ z) \ (u * w)),y \ z,y) = K(x,z \ (y * (T(T(u,v5),v5) * w))). [para(16273(a,1),11221(a,1,1))]. 16277 K(x,y \ (z * T(T(u,w),w))) = K(x,y \ (z * u)). [para(7689(a,1),16274(a,1,2,2))]. 16278 K(x,y \ (z * T(u \ w,u))) = K(x,y \ (z * (w / u))). [para(111(a,1),16277(a,1,2,2,2,1))]. 16279 K(x,y \ (z * (((u \ w) \ w) \ w))) = K(x,y \ (z * (w / u))). [para(3858(a,1),16278(a,1,2,2,2))]. 16280 K(x,K(y \ z,y) \ T(u,y \ z)) = K(x,(y \ z) \ (u * (z / y))). [para(16278(a,1),14594(a,2))]. 16281 K(x,((y \ z) \ u) * T(y \ z,y)) = K(x,(y \ z) \ (u * (z / y))). [para(16278(a,1),14656(a,1)),flip(a)]. 16282 K(x,y \ (z * T(u \ w,w))) = K(x,y \ (z * (w / u))). [para(16279(a,1),14291(a,1)),flip(a)]. 16283 K(x,((y \ z) * T(y,u)) \ w) = K(x,K(u,y) \ (T(z,y) \ w)). [para(16209(a,1),16166(a,1))]. 16284 x \ (K(y,z) \ (x * K(u,w))) = K(u,w) * T(K(z,y),K(w,u) \ x). [para(14466(a,2),16212(a,2,2))]. 16285 K(x,((y \ z) * T(y,u)) \ w) = K(x,(y * (z / T(y,u))) \ w). [para(16218(a,1),16151(a,1)),flip(a)]. 16286 K(x,(y * (z / T(y,u))) \ w) = K(x,K(u,y) \ (T(z,y) \ w)). [para(16285(a,1),16283(a,1))]. 16287 K(x,T((T(y,z) \ 1) \ z,u) \ w) = K(x,K(K(v5,v6),y) \ (T(T((y \ 1) \ z,u),y) \ w)). [para(16286(a,1),15896(a,2))]. 16288 K((K(x,y) \ z) \ u,w) = K(K(y,x) \ (z \ u),w). [para(16221(a,1),6579(a,1)),flip(a)]. 16289 K(K(x,y) \ (z \ u),K(y,x) \ z) \ u = (K(y,x) \ z) * (u / (K(y,x) \ z)). [para(16288(a,1),4822(a,1,1))]. 16290 K(K(x,T(y,z)) \ (u \ T(y,T(z,w))),T(v5,u)) = K((T(T(y,x),T(z,w)) * K(x,T(y,z))) / (u * K(x,T(y,z))),v5). [para(16288(a,1),15245(a,1))]. 16291 K(x / (y * L(K(z,u),w,v5)),v6) = K(K(z,u) \ (x / y),v6). [para(16229(a,2),15796(a,1))]. 16292 K((L(K(x,y),z,u) \ y) / w,v5) = K(K(x,y) \ (y / w),v5). [para(16291(a,1),15604(a,2))]. 16294 K((L(K(x,y),z,u) \ y) / w,v5) = K(T(y,x) / w,v5). [para(16292(a,2),16127(a,1))]. 16296 K(T(x,L(y,z,u)) / w,v5) = K(T(x,y) / w,v5). [para(11245(a,1),16294(a,1,1,1))]. 16297 L(K(x,y),z,u) \ (K(y,x) \ w) = a(K(x,y),z,u) \ w. [para(13480(a,1),16231(a,1,1)),flip(a)]. 16298 a(K(x,y),z,u) \ (K(x,y) \ w) = L(K(x,y),z,u) \ w. [para(4909(a,1),16297(a,1,2)),flip(a)]. 16299 T(x,K(y,z) \ (u * (K(z,y) \ w))) = T(x,u * (a(K(y,z),v5,v6) \ w)). [para(16297(a,1),15815(a,1,2,2)),flip(a)]. 16300 K(x,K(y,z) \ T(u,z \ y)) = K(x,(z \ y) \ (u * (y / z))). [para(16280(a,1),14273(a,1)),flip(a)]. 16301 K(x,(y \ z) \ (u * (z / y))) = K(x,((y \ z) \ u) * (z / y)). [para(16281(a,1),14654(a,1))]. 16302 K(x,((y / z) * u) / (z \ y)) = K(x,(z \ y) \ (u * (y / z))). [para(16301(a,2),14735(a,2))]. 16303 K(x,(y \ z) \ (u * (z / y))) \ T(x,(y \ z) \ ((z / y) * u)) = T(x,K((z / y) * u,y \ z)). [para(16302(a,1),14604(a,1,1))]. 16304 x \ (K(y,z) \ (x * K(u,w))) = K(u,w) * K(z,T(y,K(w,u) \ x)). [para(6535(a,2),16284(a,2,2))]. 16305 K(x,y) \ K(z,T(u,K(x,y) \ w)) = w \ (K(u,z) \ (w * K(y,x))). [para(16304(a,2),4906(a,2))]. 16306 x \ (K(y,z) \ (x * K(u,w))) = K(w,u) \ K(z,T(y,x)). [para(14816(a,1),16305(a,1,2)),flip(a)]. 16307 K(x,y) \ K(z,T(u,x * y)) = (x * y) \ (K(u,z) \ (y * x)). [para(87(a,1),16306(a,1,2,2)),flip(a)]. 16309 K(x,y) \ K(z,T(u,y \ x)) = (x * y) \ (K(u,z) \ (y * x)). [para(14387(a,2),16307(a,1,2))]. 16310 R(x,y,(z * u) \ (K(w,v5) \ (u * z))) = R(x,y,K(z,u) \ K(v5,w)). [para(16307(a,1),15976(a,1,3))]. 16311 K(x,y) \ (y * K(z,T(u,y \ x))) = y * ((x * y) \ (K(u,z) \ (y * x))). [para(16309(a,1),5156(a,2,2))]. 16312 K(x,y) \ (K(T(z,y \ x),u) \ w) = ((x * y) \ (K(z,u) \ (y * x))) * w. [para(16309(a,1),16135(a,2,1))]. 16313 R(x,y,K(x,y) \ K(z,u)) \ (K(u,z) \ (y * x)) = y * ((x * y) \ (K(u,z) \ (y * x))). [para(16310(a,1),248(a,1,1))]. 16314 T(x,y * (a(K(z,u),w,v5) \ v6)) = T(x,y * v6). [para(16299(a,1),15792(a,1))]. 16315 T(x,y * T(z,L(u,w,v5))) = T(x,y * T(z,u)). [para(13541(a,1),16314(a,1,2,2))]. 16317 T(x,L(y,z,u) * T(w,y)) = T(x,w * L(y,z,u)). [para(109(a,1),16315(a,1,2)),flip(a)]. 16318 L(T(x,y) \ (x * y),T(x,y),L((x * y) / T(x,y),z,u)) = T(y,x * L(y,z,u)). [para(16317(a,1),11763(a,2))]. 16319 T(x * T(y,K(z,u) \ x),K(z,u)) = (y * x) * (K(u,T(z,x)) \ K(u,z)). [para(6573(a,1),16103(a,2,2,1))]. 16320 K(x,K(y,z) \ (u / y)) = K(x,u / ((z \ 1) * (y / (1 / z)))). [para(16118(a,1),14284(a,1)),flip(a)]. 16321 K(x,y / ((z \ 1) * (u / (1 / z)))) = K(x,y / T(u,z)). [para(16320(a,1),14574(a,1))]. 16322 K(x,y / T(z,u \ 1)) = K(x,y / T(z,u)). [para(16321(a,1),14659(a,1)),flip(a)]. 16323 K(x,(1 / y) / T(z,y)) = K(x,z \ (1 / y)). [para(16322(a,1),14809(a,1))]. 16324 K(x,(1 / y) / (z / y)) = K(x,(y \ z) \ (1 / y)). [para(16323(a,1),14628(a,1)),flip(a)]. 16325 K(x,(y \ 1) / (z / y)) = K(x,(y \ z) \ (1 / y)). [para(16324(a,1),5085(a,1)),flip(a)]. 16326 K(x,(y \ 1) / (z / y)) = K(x,(y \ z) \ (y \ 1)). [para(16325(a,2),5326(a,1))]. 16327 (x / y) \ (K(z,((y \ 1) / (x / y)) \ 1) \ (x / y)) = (T(x,z) / y) / T(x / y,K(z,(y \ x) \ (y \ 1))). [para(16326(a,1),11928(a,2,2,2))]. 16328 K(x,K(y,(z \ u) \ (z \ 1)) \ ((u / z) \ w)) = K(x,(T(u,y) / z) \ w). [para(16326(a,1),16185(a,1,2,1))]. 16329 K(x,K(y \ z,T(y,u)) \ T(w / z,v5)) = K(x,T(w / ((y \ z) * y),v5)). [para(10936(a,1),16211(a,1,2,1))]. 16330 K(x,y) \ (K(z,T(u,y \ x)) \ w) = ((x * y) \ (K(z,u) \ (y * x))) * w. [para(6573(a,1),16312(a,1,2,1))]. 16331 T(x * T(y,K(z,u) \ x),K(z,u)) = (y * x) * K(u,K(z,x)). [para(7681(a,1),16319(a,2,2))]. 16332 T(x * T(y,K(z,u) \ x),K(z,u)) = (y * x) * K(z,K(u,x)). [para(7374(a,1),16331(a,2,2))]. 16333 T(x * T(y,K(z,u) \ x),K(z,u)) = y * T(x,K(z,u)). [para(16332(a,2),7400(a,1))]. 16334 T((x / T(y,K(z,u))) * T(T(y,K(z,u)),K(w,v5) \ (x / T(y,K(z,u)))),K(w,v5)) = y * T(x / y,K(w,v5)). [para(16333(a,2),15091(a,1))]. 16335 K(x,K(y,z * (z \ u)) \ ((u / z) \ w)) = K(x,(T(u,y) / z) \ w). [para(16328(a,1),14282(a,1)),flip(a)]. 16336 K(x,K(y,z) \ ((z / u) \ w)) = K(x,(T(z,y) / u) \ w). [para(14(a,1),16335(a,1,2,1,2))]. 16337 K(x,K(y,z) \ ((y / u) \ w)) = K(x,(T(y,z) / u) \ w). [para(16336(a,1),14096(a,1)),flip(a)]. 16338 K(x,K(y,y \ z) \ T(u / z,w)) = K(x,T(u / ((y \ z) * y),w)). [para(16329(a,1),15733(a,1)),flip(a)]. 16339 K(x,T(y / ((z \ u) * z),w)) = K(x,K(u,z) \ T(y / u,w)). [para(16338(a,1),14276(a,1))]. 16340 K(x,T(y / ((z \ u) * z),w)) = K(x,T(y / T(u,z),w)). [para(16339(a,2),15104(a,1))]. 16341 K(x,T(y / T(z,u),u \ z)) = K(x,z \ T(y,u)). [para(16340(a,1),14312(a,1))]. 16342 K(x,T((y / T(z,u)) * T(z,w),u \ z)) = K(x,z \ T(y * T(z,w),u)). [para(2468(a,1),16341(a,1,2,1))]. 16343 ((x * y) \ (K(z,u) \ (y * x))) * y = K(z,T(u,y \ x)) \ T(y,x). [para(16330(a,1),16139(a,1))]. 16344 K(x,T((y / T(z,u)) * z,u \ z)) = K(x,z \ T(y * T(z,K(w,v5)),u)). [para(16342(a,1),14810(a,1)),flip(a)]. 16345 K(x,K(y,z) \ T(u,z \ y)) = K(x,y \ T(u * T(y,K(w,v5)),z)). [para(16344(a,1),15105(a,1)),flip(a)]. 16346 K(x,(y \ z) \ (u * (z / y))) = K(x,z \ T(u * T(z,K(w,v5)),y)). [para(16345(a,1),16300(a,1)),flip(a)]. 16347 K(x,(y \ z) \ (u * (z / y))) = K(x,z \ T(u * z,y)). [para(1194(a,1),16346(a,2,2,2,1,2))]. 16348 T(x * K(y,z),L(K(u,w),K(y,z),x)) = K(u,w) \ (x * (K(z,y) \ K(u,w))). [para(4906(a,2),16042(a,2,2,2))]. 16349 K(x,y \ (z * (T(T(u,w),w) * v5))) = K(x,y \ (z * (u * v5))). [para(16276(a,1),11221(a,1))]. 16350 K(x,y \ (z * (((u \ T(w,u)) \ w) * v5))) = K(x,y \ (z * (u * v5))). [para(16349(a,1),14322(a,2))]. 16352 K(x,y) \ (z * (K(u,w) \ K(x,y))) = T(z * K(w,u),K(x,y)). [para(16348(a,1),15626(a,1))]. 16353 K(x,y) \ (z * (K(u,w) \ K(x,y))) = T(z,K(x,y)) * K(w,u). [para(16352(a,2),14952(a,1))]. 16355 K(x,y) \ (T(z,K(y,x)) * K(u,w)) = z * (K(w,u) \ K(y,x)). [para(16353(a,1),4909(a,1,2))]. 16356 K(x,y) \ (K(x,y) \ z) = z * (K(x,y) \ K(y,x)). [para(7448(a,1),16355(a,1,2))]. 16357 K(x,y) \ (K(x,y) \ z) = z * (y \ T(T(y,x),x)). [para(14615(a,1),16356(a,2,2))]. 16358 T(x,y / (z * (u \ T(T(u,w),w)))) = T(x,y / z). [para(16357(a,1),16136(a,1,2,2))]. 16359 T(x,y / T(T(z,u),u)) = T(x,y / z). [para(14(a,1),16358(a,1,2,2))]. 16360 T(x,y / T(z \ u,z)) = T(x,y / (u / z)). [para(111(a,1),16359(a,1,2,2,1))]. 16362 T(x,y / (((z \ u) \ u) \ u)) = T(x,y / (u / z)). [para(3858(a,1),16360(a,1,2,2))]. 16363 K((x * y) \ ((y * T(x,K(y,z))) * u),w) = K(K(y * x,x) \ u,w). [para(7126(a,1),16147(a,2,1,1))]. 16365 K(K(x * T(y,K(x,z)),x) \ u,w) = K(K(x * y,y) \ u,w). [para(16149(a,1),16363(a,1))]. 16366 K(K(x * T(y,K(x,z)),x) \ u,w) = K(K(y,x) \ u,w). [para(16365(a,2),14687(a,1))]. 16368 K(K(x * y,x) \ z,u) = K(K(y,x) \ z,u). [para(1924(a,1),16366(a,1,1,1,1,2))]. 16370 K(K(x,x * y) \ z,u) = K(K(y,x) \ z,u). [para(16368(a,1),15026(a,1)),flip(a)]. 16371 K(K(x * y,y \ 1) \ z,u) = K(K(y \ 1,x) \ z,u). [para(12685(a,1),16370(a,1,1,1)),flip(a)]. 16372 K(K(x \ 1,y) \ z,u) = K(K(x * y,y) \ z,u). [para(16371(a,1),14196(a,1))]. 16373 K(K(x \ 1,y) \ z,u) = K(K(y,x) \ z,u). [para(16372(a,2),14687(a,1))]. 16374 K(K(x,y) \ (z / u),w) \ K((K(y \ 1,x) \ (z / u)) * w,w) = a(w,u \ (K(y \ 1,x) \ z),w). [para(16373(a,1),13080(a,1,1))]. 16375 (K(x,y) \ z) * (u / (K(x,y) \ z)) = (z * K(y,x)) * (u / (z * K(y,x))). [para(16289(a,1),16073(a,1))]. 16376 (K(x,y) \ z) * (K(y,x) / (K(x,y) \ z)) = (z * K(y,x)) * L(1 / z,z,K(y,x)). [para(14035(a,2),16375(a,2,2))]. 16377 K(x,(y * L(K(z,u),w,v5)) \ (K(v6,v7) \ v8)) = K(x,K(z,u) \ ((K(v7,v6) \ y) \ v8)). [para(16215(a,1),15655(a,1)),flip(a)]. 16378 L(T(x,y),T(y,x),L((y * x) / T(y,x),z,u)) = T(x,y * L(x,z,u)). [para(3852(a,1),16318(a,1,1))]. 16379 L(T(x,y),T(y,x),L(x,z,u)) = T(x,y * L(x,z,u)). [para(124(a,1),16378(a,1,3,1))]. 16380 R(L(x,y,z),T(u,x),T(x,u * L(x,y,z))) \ (L(x,y,z) * (T(u,x) * T(x,u))) = T(u,x) * L(T(x,u),T(u,x),L(x,y,z)). [para(16379(a,1),396(a,1,1,3))]. 16381 K(x,K(y,z) \ ((K(u,w) \ v5) \ v6)) = K(x,K(y,z) \ (v5 \ (K(w,u) \ v6))). [para(16377(a,1),16213(a,1))]. 16382 K(x,K(y,z) \ (u \ (K(z,L(y,w,v5)) \ v6))) = K(x,u \ v6). [para(16381(a,1),16193(a,1))]. 16383 K(x,K(y,z) \ (u \ (L(K(z,y),w,v5) \ v6))) = K(x,u \ v6). [para(6099(a,1),16382(a,1,2,2,2,1))]. 16384 K(x,K(y \ z,y) \ (u \ (z * w))) = K(x,u \ ((y * (z / y)) * w)). [para(13922(a,1),16383(a,1,2,2,2))]. 16385 K(x,y \ (K(z,u) \ (L(K(u,z),w,v5) \ v6))) = K(x,y \ v6). [para(16383(a,1),16167(a,1)),flip(a)]. 16386 K(x,y \ (a(K(z,u),w,v5) \ v6)) = K(x,y \ v6). [para(16223(a,1),16385(a,1,2,2))]. 16387 K(x,y \ T(z,L(u,w,v5))) = K(x,y \ T(z,u)). [para(13541(a,1),16386(a,1,2,2))]. 16388 K(x,y \ (z * a(u,w,K(v5,v6)))) = K(x,y \ z). [para(15642(a,1),16386(a,1,2,2)),flip(a)]. 16389 K(x,y \ T(z,(u \ w) \ v5)) = K(x,y \ T(z,w \ (u * v5))). [para(343(a,1),16387(a,1,2,2,2)),flip(a)]. 16390 K(x,a(K(y,z),u,w) \ v5) = K(x,v5). [para(15642(a,1),16388(a,1,2)),flip(a)]. 16391 K(x,y) \ T(x,(a(K(z,u),w,v5) \ y) * x) = L(x,a(K(z,u),w,v5) \ T(y,x),x). [para(16390(a,1),11322(a,1,1))]. 16392 K(x,T(y,L(z,u,w))) = K(x,T(y,z)). [para(13541(a,1),16390(a,1,2))]. 16394 L(x,y,z) * K(u,T(w,x)) = K(w,u) \ L(x,y,z). [para(16392(a,1),6618(a,1,2))]. 16396 K(x,y) \ L(z \ L(z,u,w),v5,v6) = L(z \ L(z,u,w),v5,v6) * K(y,x). [para(15615(a,1),16394(a,1,2)),flip(a)]. 16397 K(x,(((y / (z \ 1)) / y) * y) \ (u * (y * ((y / (z \ 1)) / y)))) = K(x,K(z,y) \ T(u,1 \ (z * y))). [para(16389(a,1),12471(a,2))]. 16398 K(x,K(y,z) \ (u \ (y * w))) = K(x,u \ ((z * (y / z)) * w)). [para(16384(a,1),14273(a,1)),flip(a)]. 16399 K(x,y \ ((z * (u / z)) * w)) = K(x,y \ (T(u,z) * w)). [para(16398(a,1),16178(a,1))]. 16400 K(x,y \ ((z * (u / z)) * T(w,u))) = K(x,y \ (w * T(u,z))). [para(16399(a,2),14800(a,1))]. 16401 K(x,y \ (z * (u * (w / u)))) = K(x,y \ (z * T(w,u))). [para(16400(a,1),15762(a,1)),flip(a)]. 16402 K(x,y) \ T(x,x * (a(K(z,u),w,v5) \ y)) = L(x,a(K(z,u),w,v5) \ T(y,x),x). [para(3978(a,1),16391(a,1,2))]. 16403 L(x,a(K(y,z),u,w) \ T(v5,x),x) = K(x,v5) \ T(x,x * v5). [para(16314(a,1),16402(a,1,2)),flip(a)]. 16404 L(x,a(K(y,z),u,w) \ T(v5,x),x) = L(x,v5,x). [para(16403(a,2),5014(a,1))]. 16406 L(x,a(K(y,z),u,w) \ v5,x) = L(x,v5,x). [para(16404(a,1),11313(a,1)),flip(a)]. 16407 a(x,a(K(y,z),u,w) \ v5,x) = (v6 / x) \ (v6 / L(x,v5,x)). [para(16406(a,1),8567(a,1,2,2)),flip(a)]. 16408 a(x,a(K(y,z),u,w) \ v5,x) = a(x,v5,x). [para(16407(a,2),8567(a,1))]. 16409 a(x,(y * a(K(z,u),w,v5)) \ v6,x) = a(x,y \ v6,x). [para(16408(a,1),13060(a,2))]. 16410 a(x,L(K(y,z),u,w) \ v5,x) = a(x,K(y,z) \ v5,x). [para(16298(a,1),16408(a,1,2))]. 16411 a(x,(a(K(y,z),u,w) \ v5) \ v6,x) = a(x,v5 \ v6,x). [para(15619(a,1),16409(a,1,2,1)),flip(a)]. 16412 a(x,K(y,(z \ u) \ w) \ v5,x) = a(x,K(y,u \ (z * w)) \ v5,x). [para(6107(a,1),16410(a,1,2,1)),flip(a)]. 16413 a(x,y \ (a(K(z,u),w,v5) * v6),x) = a(x,y \ v6,x). [para(16411(a,1),13062(a,1)),flip(a)]. 16414 a(x,y \ (a(K(z,u),w,v5) \ v6),x) = a(x,y \ v6,x). [para(14(a,1),16413(a,1,2,2)),flip(a)]. 16415 a(x,y \ (z * a(u,w,K(v5,v6))),x) = a(x,y \ z,x). [para(15642(a,1),16414(a,1,2,2)),flip(a)]. 16416 a(x,y \ (L(K(z,u),w,v5) \ v6),x) = a(x,y \ (K(z,u) \ v6),x). [para(16298(a,1),16414(a,1,2,2))]. 16417 a(x,y \ ((z * u) * K(w,v5)),x) = a(x,y \ (z * (u * K(w,v5))),x). [para(83(a,1),16415(a,1,2,2))]. 16418 a(x,y \ (z * ((K(u,w) \ z) \ v5)),x) = a(x,y \ (K(w,u) \ v5),x). [para(13941(a,1),16416(a,1,2,2))]. 16419 a(x,(y * z) \ (K(u,w) \ v5),x) = a(x,z \ ((K(w,u) \ y) \ v5),x). [para(16416(a,1),14011(a,1))]. 16420 a(x,T(y \ (y / (z \ u)),w) * T(y,(z \ u) \ 1),x) = a(x,K(w,u \ (z * 1)) \ (y / (z \ u)),x). [para(6322(a,2),16412(a,1,2))]. 16421 a(x,y \ ((K(z,u) \ w) \ v5),x) = a(x,y \ (w \ (K(u,z) \ v5)),x). [para(16419(a,1),13060(a,1))]. 16423 a(x,y \ (z \ (K(u,w) \ (K(w,u) \ (z * v5)))),x) = a(x,y \ L(v5,z,K(u,w)),x). [para(5514(a,1),16421(a,1,2,2)),flip(a)]. 16424 a(x,y \ L(z,u,K(w,v5)),x) = a(x,y \ (u \ (u * z)),x). [para(4909(a,1),16423(a,1,2,2,2)),flip(a)]. 16425 a(x,y \ L(z,u,K(w,v5)),x) = a(x,y \ z,x). [para(13(a,1),16424(a,2,2,2))]. 16427 a(x,y \ R(z,u,T(w,v5)),x) = a(x,y \ R(z,u,w),x). [para(14043(a,1),16425(a,1,2,2))]. 16428 T(x,K(y,y \ z) \ ((T(y,z) \ z) / u)) = T(x,(((y \ T(z,y)) \ z) \ z) / u). [para(7100(a,1),16125(a,1,2,1))]. 16430 K((x * y) \ z,T(u,y)) = K(T(z,x) / (y * x),u). [para(16249(a,2),6807(a,1))]. 16431 K(T(x,y) / (L(z,u,w) * y),z) = K((y * L(z,u,w)) \ x,z). [para(444(a,1),16430(a,1,2)),flip(a)]. 16432 R(x,y,K(z,u)) \ (K(u,z) \ (y * x)) = y * ((x * y) \ (K(u,z) \ (y * x))). [para(15677(a,1),16313(a,1,1))]. 16433 L(x,y,K(z,u)) \ (K(u,z) \ (y * x)) = y * ((x * y) \ (K(u,z) \ (y * x))). [para(14034(a,1),16432(a,1,1))]. 16434 x * ((y * x) \ (K(z,u) \ (x * y))) = T(K(z,u) \ x,y). [para(16433(a,1),15832(a,1))]. 16435 (x * y) \ (K(z,u) \ (y * x)) = y \ T(K(z,u) \ y,x). [hyper(71,a,16434,a),flip(a)]. 16436 K(x,y) \ (y * K(z,T(u,y \ x))) = T(K(u,z) \ y,x). [para(16434(a,1),16311(a,2))]. 16437 K(x,T(y,z \ u)) \ T(z,u) = (z \ T(K(x,y) \ z,u)) * z. [para(16435(a,1),16343(a,1,1)),flip(a)]. 16438 T(x,y) * K(z,T(u,x \ y)) = T(K(u,z) \ x,y). [para(16436(a,1),4882(a,1)),flip(a)]. 16439 T(x,y) * K(z,T(u,y \ x)) = T(K(u,z) \ x,y). [para(7860(a,1),16438(a,1,2))]. 16440 T(K(x,T(y,z \ u)) \ u,z) = T(u,z) * K(y,x). [para(7478(a,1),16439(a,1,2)),flip(a)]. 16441 T(K(x,T(y,(((z / u) \ 1) * z) \ z)) \ (u * (z / u)),((u \ z) \ 1) * z) = T(u * (z / u),((u \ z) \ 1) * z) * K(y,x). [para(12939(a,1),16440(a,1,1,1,2,2))]. 16442 K(x,(y / T(z,u)) \ (x * T(w,y / T(z,u)))) = K(x,w / (x \ (y / ((z \ u) \ u)))). [para(14258(a,1),16272(a,1,2,2,2))]. 16443 K(x,y / (x \ (z / ((u \ w) \ w)))) = K(x,y / (x \ (z / T(u,w)))). [para(16442(a,1),16270(a,1))]. 16444 K(x,((y / ((z \ u) \ u)) / w) \ x) = K(x,w / (x \ (y / T(z,u)))). [para(16443(a,1),7901(a,1)),flip(a)]. 16445 K(x,((y / ((z \ u) \ u)) / w) \ x) = K(x,((y / T(z,u)) / w) \ x). [para(16444(a,2),7901(a,1))]. 16446 K(x,T(T((y \ 1) \ z,u),y) \ w) = K(x,T((T(y,z) \ 1) \ z,u) \ w). [para(16287(a,2),14792(a,1)),flip(a)]. 16447 K(x,T((T(x,y) \ 1) \ y,z) \ u) = K(x,T((x \ 1) \ y,z) \ u). [para(16446(a,1),7097(a,1))]. 16448 K(x,T((T(y,z) \ 1) \ z,u) \ w) = K(x,T(z / (y \ 1),u) \ w). [para(16446(a,1),14286(a,1))]. 16450 K(x,T((T(x,y) \ 1) \ y,z) \ u) = K(x,T(x * y,z) \ u). [para(16447(a,2),9448(a,1))]. 16451 K(x,T(y / (x \ 1),z) \ u) = K(x,T(x * y,z) \ u). [para(16448(a,1),16450(a,1))]. 16452 K(x,K(y,x * z) \ ((z / (x \ 1)) \ u)) = K(x,T(x * z,y) \ u). [para(16451(a,1),15761(a,2))]. 16453 K(x,K(y,z) \ (x * T(y \ u,y))) \ T(x,u / T(y,z)) = R(x,y \ ((y \ u) * T(y,z)),x). [para(15812(a,2),16255(a,1,1))]. 16454 K(x,K(y,z) \ (x * (u / y))) \ T(x,u / T(y,z)) = R(x,y \ ((y \ u) * T(y,z)),x). [para(16278(a,1),16453(a,1,1))]. 16455 R(x,y \ ((y \ z) * T(y,u)),x) = K(x,x * (z / T(y,u))) \ T(x,z / T(y,u)). [para(15804(a,1),16454(a,1,1)),flip(a)]. 16456 R(x,y \ ((y \ z) * T(y,u)),x) = R(x,z / T(y,u),x). [para(16455(a,2),5016(a,1))]. 16457 L(R(x,x \ y,x),K(x,y),T(K(x,y),z)) = K(x,T(y,z)) \ T(x,T(x \ T(y,z),y)). [para(6779(a,1),16198(a,2,2))]. 16458 L(R(x,x \ y,x),K(x,y),T(K(x,y),z)) = K(x,T(y,z)) \ T(x,x \ T(T(y,z),y)). [para(10934(a,2),16457(a,2,2))]. 16459 L(R(x,x \ y,x),K(x,y),T(K(x,y),z)) = K(x,T(y,z)) \ T(x,x \ T(y,z)). [para(119(a,1),16458(a,2,2,2,2))]. 16460 L(R(x,x \ y,x),K(x,y),T(K(x,y),z)) = R(x,x \ T(y,z),x). [para(16459(a,2),5024(a,1))]. 16461 L(R(x,x \ y,x),K(x,y),K(x,T(y,z))) = R(x,x \ T(y,z),x). [para(6535(a,2),16460(a,1,3))]. 16462 R(x,x \ T(y,z),x) = R(x,x \ y,x). [para(16461(a,1),12760(a,1))]. 16463 a(x,x \ T(y,z),x) = x \ R(x,x \ y,x). [para(16462(a,1),8393(a,1,2)),flip(a)]. 16464 a(x,x \ T(y,z),x) = a(x,x \ y,x). [para(16463(a,2),8393(a,1))]. 16465 a(x,x \ (y / z),x) = a(x,x \ (z \ y),x). [para(111(a,1),16464(a,1,2,2)),flip(a)]. 16466 a(x,x \ (y * z),x) = a(x,x \ (z * y),x). [para(16464(a,1),13149(a,1))]. 16467 a(x,x \ (y / ((z / x) * u)),x) = a(x,x \ (((x \ z) * u) \ y),x). [para(16465(a,1),13238(a,2))]. 16468 a(x,x \ (y / ((z / x) * u)),x) = a(x,x \ (u \ ((x \ z) \ y)),x). [para(16467(a,2),13095(a,1))]. 16469 a(x,x \ (((y / x) * z) \ u),x) = a(x,x \ (z \ ((x \ y) \ u)),x). [para(16468(a,1),16465(a,1)),flip(a)]. 16470 a(x,x \ (y \ ((z / x) \ u)),x) = a(x,x \ (y \ ((x \ z) \ u)),x). [para(16469(a,1),13095(a,1)),flip(a)]. 16471 K(x,(y \ z) \ (u * (z / y))) \ T(x,K(y \ z,y) \ u) = T(x,K((z / y) * u,y \ z)). [para(5341(a,1),16303(a,1,2,2))]. 16472 K(x,(y \ z) \ (u * (z / y))) \ T(x,K(y \ z,y) \ u) = T(x,K(y \ z,(z / y) * u)). [para(16471(a,2),7431(a,1))]. 16473 K(x,(y \ z) \ (u * (z / y))) \ T(x,K(y \ z,y) \ u) = T(x,K(y \ z,u * (y \ z))). [para(9138(a,1),16472(a,2,2))]. 16474 K(x,(y \ z) \ (u * (z / y))) \ T(x,K(y \ z,y) \ u) = T(x,K(u,y \ z)). [para(16473(a,2),7617(a,1))]. 16475 K(x / T(y,z),u) \ K((K(y \ 1,z) \ (x / y)) * u,u) = a(u,y \ (K(y \ 1,z) \ x),u). [para(15025(a,1),16374(a,1,1))]. 16476 K(x / T(y,z),u) \ K(u * (K(y \ 1,z) \ (x / y)),u) = a(u,y \ (K(y \ 1,z) \ x),u). [para(5189(a,1),16475(a,1,2))]. 16477 K(x / T(y,z),u) \ K(K(y \ 1,z) \ (u * (x / y)),u) = a(u,y \ (K(y \ 1,z) \ x),u). [para(10575(a,2),16476(a,1,2))]. 16478 K(x / T(y,z),u) \ K(K(z,y) \ (u * (x / y)),u) = a(u,y \ (K(y \ 1,z) \ x),u). [para(16373(a,1),16477(a,1,2))]. 16479 K(x / T(y,z),u) \ K(u * (x / T(y,z)),u) = a(u,y \ (K(y \ 1,z) \ x),u). [para(15911(a,1),16478(a,1,2))]. 16480 ((x / T(y,z)) * u) \ T(u * (x / T(y,z)),u) = a(u,y \ (K(y \ 1,z) \ x),u). [para(16479(a,1),6181(a,1)),flip(a)]. 16481 a(x,y \ (K(y \ 1,z) \ u),x) = a(x,u / T(y,z),x). [para(16480(a,1),8412(a,1))]. 16482 a(x,y \ (K(y \ 1,z) \ u),x) = a(x,T(y,z) \ u,x). [para(16481(a,2),12789(a,1))]. 16483 K(x,T((y / z) \ (u * T(y / z,T(w,z))),K(w,z \ y))) = K(x,(z \ y) \ (u * T(z \ y,w))). [para(7004(a,1),16059(a,1,2,1,2,2))]. 16485 K(x,(y / z) \ (u * T(y / z,T(w,z)))) = K(x,(z \ y) \ (u * T(z \ y,w))). [para(16483(a,1),14455(a,1)),flip(a)]. 16487 K(x,(y / z) \ (u * T(y / z,w))) = K(x,(z \ y) \ (u * T(z \ y,w))). [para(16485(a,1),15757(a,1)),flip(a)]. 16489 T(x,K(y,z) \ L(K(K(y,z) \ u,w),u,K(z,y))) = T(x,(w * u) \ ((u * K(z,y)) * R(w,u,K(z,y)))). [para(14507(a,2),16109(a,1,2,2,1))]. 16490 K(x,(((y / (z \ 1)) / y) * y) \ (u * (y * ((y / (z \ 1)) / y)))) = K(x,K(z,y) \ T(u,z * y)). [para(50(a,1),16397(a,2,2,2,2))]. 16491 K(x,(((y / (z \ 1)) / y) * y) \ (u * (y * ((y / (z \ 1)) / y)))) = K(x,(z * y) \ (u * (y * z))). [para(16490(a,2),15763(a,1))]. 16492 K(x,(y / (z \ 1)) \ (u * (y * ((y / (z \ 1)) / y)))) = K(x,(z * y) \ (u * (y * z))). [para(16(a,1),16491(a,1,2,1))]. 16494 K(x,(y / (z \ 1)) \ (u * T(y / (z \ 1),y))) = K(x,(z * y) \ (u * (y * z))). [para(16492(a,1),16401(a,1)),flip(a)]. 16495 K(x,((y \ 1) \ z) \ (u * T((y \ 1) \ z,z))) = K(x,(y * z) \ (u * (z * y))). [para(16494(a,1),16487(a,1)),flip(a)]. 16496 K(x,((y \ 1) \ z) \ (u * (z / (y \ 1)))) = K(x,(y * z) \ (u * (z * y))). [para(16495(a,1),16282(a,1)),flip(a)]. 16497 K(x,(y * z) \ (u * (z * y))) = K(x,z \ T(u * z,y \ 1)). [para(16496(a,1),16347(a,1))]. 16498 K(x,(y * z) \ (u * (z * y))) = K(x,z \ T(u * z,y)). [para(16497(a,2),14343(a,1))]. 16499 K(x,y \ T(z * y,u)) \ T(x,K(u,y) \ z) = T(x,K(z,u * y)). [para(16498(a,1),14937(a,1,1))]. 16500 a(x,T(y \ (y / (z \ u)),w) * T(y,u \ z),x) = a(x,K(w,u \ (z * 1)) \ (y / (z \ u)),x). [para(5938(a,1),16420(a,1,2,2))]. 16501 T(x,(y * z) \ ((z * K(u,w)) * R(y,z,K(u,w)))) = T(x,K(w,u) \ K(K(w,u) \ z,y)). [para(15555(a,1),16489(a,1,2,2)),flip(a)]. 16502 T(x,(y * z) \ ((z * K(u,w)) * L(y,z,K(u,w)))) = T(x,K(w,u) \ K(K(w,u) \ z,y)). [para(14034(a,1),16501(a,1,2,2,2))]. 16504 T(x,K(y,z) \ K(K(y,z) \ u,w)) = T(x,(w * u) \ (K(y,T(z,u)) \ (u * w))). [para(15769(a,1),16502(a,1,2,2)),flip(a)]. 16505 L(K(x,((y / ((z \ 1) \ 1)) / u) \ x),z \ y,z) \ T(x,(u * z) / y) = R(x,u / (y / ((z \ 1) \ 1)),x). [para(12779(a,2),16228(a,1,1,1))]. 16506 (x / y) \ (K(z,((y \ 1) / (x / y)) \ 1) \ (x / y)) = (T(x,z) / y) / T(x / y,K(z,y * (y \ x))). [para(12416(a,1),16327(a,2,2))]. 16507 (x / y) \ (K(z,((y \ 1) / (x / y)) \ 1) \ (x / y)) = (T(x,z) / y) / T(x / y,K(z,x)). [para(14(a,1),16506(a,2,2,2,2))]. 16508 (x / y) \ (K(z,((y \ 1) / (x / y)) \ 1) \ (x / y)) = (T(x,z) / y) / T(x / y,K(x,z)). [para(7431(a,1),16507(a,2,2))]. 16509 (x / y) \ (K(z,((y \ 1) / (x / y)) \ 1) \ (x / y)) = (T(x,z) / y) / (x / T(y,K(x,z))). [para(15188(a,2),16508(a,2,2))]. 16510 (T(x,y) / z) / (x / T(z,K(x,y))) = (x / z) \ (T(x,y) / z). [para(5479(a,1),16509(a,1,2)),flip(a)]. 16511 (T(x,T(y,z)) / z) / (x / z) = (x / z) \ (T(x,y) / z). [para(16510(a,1),15928(a,2))]. 16512 ((x / y) \ (T(x,z) / y)) * (x / y) = T(x,T(z,y)) / y. [para(16511(a,1),16(a,1,1))]. 16513 ((x / T(y \ z,u)) \ (T(x,1 / (z / (z * (y / z)))) / T(y \ z,u))) * (x / T(y \ z,u)) = T(x,(z / (z * (y / z))) \ 1) / T(y \ z,u). [para(15194(a,1),16512(a,2,1,2))]. 16514 T((x / T(y,K(z,u))) * T(T(y,K(z,u)),K(w,v5) \ (T(y,K(z,u)) \ x)),K(w,v5)) = y * T(x / y,K(w,v5)). [para(7083(a,1),16334(a,1,1,2))]. 16515 L(K(x,((y / T(z,1)) / u) \ x),z \ y,z) \ T(x,(u * z) / y) = R(x,u / (y / ((z \ 1) \ 1)),x). [para(16445(a,1),16505(a,1,1,1))]. 16516 L(K(x,((y / z) / u) \ x),z \ y,z) \ T(x,(u * z) / y) = R(x,u / (y / ((z \ 1) \ 1)),x). [para(132(a,1),16515(a,1,1,1,2,1,1,2))]. 16517 K(x,((x * y) * z) / u) \ T(x,(y * z) / u) = R(x,y / (u / ((z \ 1) \ 1)),x). [para(13960(a,1),16516(a,1,1))]. 16518 T((x / T(y,K(z,u))) * T(T(y,K(z,u)),K(w,v5) \ (y \ x)),K(w,v5)) = y * T(x / y,K(w,v5)). [para(15750(a,1),16514(a,1,1,2))]. 16519 T(x * K(T(y,K(z,u)),K(w,v5) \ (y \ x)),K(w,v5)) = y * T(x / y,K(w,v5)). [para(5778(a,1),16518(a,1,1))]. 16521 T(x * K(y,K(z,u) \ (y \ x)),K(z,u)) = y * T(x / y,K(z,u)). [para(1194(a,1),16519(a,1,1,2,1))]. 16522 T(K(x \ (y / K(z,u)),x) \ y,K(z,u)) = x * T(y / x,K(z,u)). [para(10881(a,2),16521(a,1,1))]. 16523 T(K(x \ (y * K(z,u)),x) \ y,K(u,z)) = x * T(y / x,K(u,z)). [para(6792(a,1),16522(a,1,1,1,1,2))]. 16524 T(K(x \ (K(y,z) \ u),x) \ u,K(y,z)) = x * T(u / x,K(y,z)). [para(15161(a,2),16523(a,1,1,1))]. 16525 K(x \ (K(y,z) \ u),x) \ T(u,K(y,z)) = x * T(u / x,K(y,z)). [para(16524(a,1),14955(a,2))]. 16526 K(x \ (K(y,z) \ u),x) \ (u * K(z,y)) = K(y,z) \ (x * T(u / x,K(y,z))). [para(16525(a,1),16140(a,1,2)),flip(a)]. 16527 K(x,y) \ (z * T(u / z,K(x,y))) = z * ((u * K(y,x)) / z). [para(16526(a,1),15179(a,1))]. 16528 K(x,T(y,z \ u)) \ (z * (u / z)) = z * ((u * K(y,x)) / z). [para(16527(a,1),15683(a,2))]. 16529 K(x,T(T(y,K(z,u)) \ (K(z,u) * w),v5)) = K(x,T(K(u,z) \ (y \ w),v5)). [para(16163(a,1),15555(a,1))]. 16530 K(x,T(T(y,K(z,u)) \ (K(u,z) * w),v5)) = K(x,T(K(z,u) \ (y \ w),v5)). [para(7431(a,1),16529(a,1,2,1,1))]. 16532 K(x,T(T(y,K(z,u)) \ (K(z,u) \ w),v5)) = K(x,T(K(z,u) \ (y \ w),v5)). [para(4906(a,2),16530(a,1,2,1,2))]. 16533 K(x,T(K(y,z) \ (u \ w),v5)) = K(x,T(u \ (K(y,z) \ w),v5)). [para(16532(a,1),15110(a,1))]. 16534 K(x,K(y,z) \ T(u \ w,v5)) = K(x,T(u \ (K(y,z) \ w),v5)). [para(16533(a,1),15106(a,2))]. 16536 x * K(x,K(y,z) \ T(u \ w,v5)) = T(x,T(u \ (K(y,z) \ w),v5)). [para(16534(a,2),4597(a,2,2)),flip(a)]. 16537 T(x,K(y,z) \ T(u \ w,v5)) = T(x,T(u \ (K(y,z) \ w),v5)). [para(16536(a,1),4597(a,2))]. 16538 T(x,K(y,T(z,u)) \ T((K(y,z) \ w) \ v5,v6)) = T(x,T(w \ (T(K(z,y),u) * (K(z,y) \ v5)),v6)). [para(16537(a,2),15941(a,1))]. 16539 T(x,T(y \ (T(K(z,u),w) * (K(z,u) \ v5)),v6)) = T(x,K(z,u) \ T((K(u,z) \ y) \ v5,v6)). [para(16538(a,1),15008(a,1))]. 16540 T(x,T(y \ (K(z,T(u,w)) * (K(z,u) \ v5)),v6)) = T(x,K(z,u) \ T((K(u,z) \ y) \ v5,v6)). [para(6535(a,2),16539(a,1,2,1,2,1))]. 16542 T(x,T(y \ (K(z,T(u,w)) \ (K(u,z) \ v5)),v6)) = T(x,K(u,z) \ T((K(z,u) \ y) \ v5,v6)). [para(6597(a,2),16540(a,1,2,1,2))]. 16543 T(x,T(y \ (K(z,K(u,w)) \ v5),v6)) = T(x,K(u,z) \ T((K(z,u) \ y) \ v5,v6)). [para(16141(a,1),16542(a,1,2,1,2))]. 16544 T(x,K(y,K(z,u)) \ T(w \ v5,v6)) = T(x,K(z,y) \ T((K(y,z) \ w) \ v5,v6)). [para(16543(a,1),16537(a,2))]. 16545 T(x,K(y,z) \ T((K(z,y) \ u) \ w,v5)) = T(x,T(u \ w,v5)). [para(16544(a,1),15132(a,1))]. 16546 T(x,K(y,z) \ T(u,w)) = T(x,T(K(z,y) \ u,w)). [para(117(a,1),16545(a,1,2,2,1))]. 16548 T(x,K(y,z) \ T(u,w)) = T(x,T(K(y,z) \ u,w)). [para(16546(a,1),15010(a,1)),flip(a)]. 16549 T(T(x,K(y,z) \ T(x,u)),x \ T(K(y,z) \ x,u)) = (x \ T(x * K(z,y),u)) \ T(K(y,z) \ x,u). [para(16548(a,2),12863(a,1,1))]. 16550 T(T(x,K(y,z) \ x),x \ T(K(y,z) \ x,u)) = (x \ T(x * K(z,y),u)) \ T(K(y,z) \ x,u). [para(8010(a,1),16549(a,1,1))]. 16552 (x \ T(x * K(y,z),u)) \ T(K(z,y) \ x,u) = T(T(x,K(z,y)),x \ T(K(z,y) \ x,u)). [para(12874(a,1),16550(a,1,1)),flip(a)]. 16553 (K(x,K(y,z)) \ (u * (w * v5))) \ ((K(x,K(y,z)) \ (u * w)) * v5) = a(u,K(x,K(y,z)) * w,L(v5,w,K(x,K(y,z)))). [para(15690(a,2),15977(a,1,2,1))]. 16554 K((T(T(x,y),T(z,u)) * K(y,T(x,z))) / (w * K(y,T(x,z))),v5) = K(K(y,T(x,z)) \ (T(x,T(z,u)) / w),v5). [para(16290(a,1),16150(a,1))]. 16555 K((T(T(x,y),T(z,u)) * K(y,T(x,z))) / (w * K(y,T(x,z))),v5) = K(K(y,x) \ (T(x,T(z,u)) / w),v5). [para(16554(a,2),15731(a,1))]. 16556 K(K(x,y) \ (T(y,T(z,u)) / w),v5) = K(T(T(y,x),T(z,u)) / w,v5). [para(16555(a,1),15597(a,1))]. 16558 K(T(T(x,y \ 1),T(z,u)) / y,w) = K(T(x,z) * ((T(x,T(z,u)) / y) / T(x,T(z,u))),w). [para(16556(a,1),15388(a,1))]. 16560 K(T(T(x,y \ 1),z) / y,u) = K(T(x,z) * ((T(x,T(z,w)) / y) / T(x,T(z,w))),u). [para(16558(a,1),15158(a,1)),flip(a)]. 16562 K(T(T(x,y \ 1),z) / y,u) = K(T(x,T(z,w)) / y,T(u,x)). [para(16560(a,2),15159(a,1))]. 16563 K(x \ T(y,T(z,u)),w) = K(T(T(y,x \ 1),z) / x,w). [para(16562(a,2),14524(a,1)),flip(a)]. 16565 K(T(T(x,y \ 1),z) / y,u) = K(y \ T(x,z),u). [para(108(a,1),16563(a,1,1,2,2)),flip(a)]. 16566 K(x \ T(y,L(z,u,w)),v5) = K(T(T(y,x \ 1),z) / x,v5). [para(16565(a,1),16296(a,1))]. 16567 K(x \ T(y,L(z,u,w)),v5) = K(x \ T(y,z),v5). [para(16566(a,2),16565(a,1))]. 16568 K(x \ T(L(y,z,u) \ w,y),v5) = K(x \ (w / L(y,z,u)),v5). [para(16567(a,1),14303(a,1))]. 16569 K(x \ (y / L(z,u,w)),z) = K(x \ (L(z,u,w) \ y),z). [para(16568(a,1),7118(a,1))]. 16570 K((x * L(y,z,u)) \ w,y) = K(x \ (L(y,z,u) \ w),y). [para(16569(a,1),14003(a,2))]. 16571 K(T(x,y) / (L(z,u,w) * y),z) = K(y \ (L(z,u,w) \ x),z). [para(16570(a,1),16431(a,2))]. 16572 K(x \ (L(y,z,u) \ w),y) = K(y \ (T(w,x) / x),y). [para(16571(a,1),11377(a,1))]. 16574 (K(x,K(y,z)) \ (u * (w * v5))) \ (K(x,K(y,z)) \ ((u * w) * v5)) = a(u,K(x,K(y,z)) * w,L(v5,w,K(x,K(y,z)))). [para(15543(a,2),16553(a,1,2))]. 16575 a(x,K(y,K(z,u)) * w,L(v5,w,K(y,K(z,u)))) = (x * (w * v5)) \ ((x * w) * v5). [para(16574(a,1),15650(a,1))]. 16576 a(x,K(y,K(z,u)) * w,L(v5,w,K(y,K(z,u)))) = a(x,w,v5). [para(16575(a,2),24(a,2)),flip(a)]. 16578 a(x,K(K(y,z),u) \ w,L(v5,w,K(u,K(y,z)))) = a(x,w,v5). [para(4906(a,2),16576(a,1,2))]. 16579 a(x,K(y,K(z,u)) \ w,L(v5,w,K(u,K(y,z)))) = a(x,w,v5). [para(7351(a,1),16578(a,1,2,1))]. 16580 a(x,K(y,K(z,u)) \ w,v5) = a(x,w,v5). [para(15556(a,1),16579(a,1,3))]. 16581 a(x,T(y,K(z,u)) \ w,v5) = a(x,y \ w,v5). [para(4903(a,1),16580(a,1,2))]. 16582 a(x,y \ T(z,K(u,w)),v5) = a(x,y \ z,v5). [para(5392(a,1),16580(a,1,2)),flip(a)]. 16583 a(x,K(y,T(z,u)) \ w,v5) = a(x,K(y,z) \ w,v5). [para(15728(a,1),16580(a,1,2))]. 16584 a(x,y \ (K(z,K(u,w)) \ v5),v6) = a(x,y \ v5,v6). [para(15738(a,1),16580(a,1,2))]. 16585 a(x,K(y,z) \ (u \ w),x) = a(x,u \ (K(y,z) \ w),x). [para(16581(a,1),13083(a,1)),flip(a)]. 16586 a(x,K(y,z) \ (u \ ((w / u) \ v5)),x) = a(x,w \ (u * ((K(z,y) \ u) \ v5)),x). [para(16581(a,1),15901(a,1)),flip(a)]. 16587 a(x,K(y,z) \ u,w) = a(x,u * K(z,y),w). [para(4913(a,1),16582(a,1,2)),flip(a)]. 16588 a(x,y \ (K(z,u) \ w),v5) = a(x,y \ (w * K(u,z)),v5). [para(6770(a,1),16582(a,1,2,2)),flip(a)]. 16589 a(x,y \ T(z,T(u,w)),v5) = a(x,y \ T(z,u),v5). [para(7808(a,1),16582(a,1,2,2))]. 16590 a(x,y \ (T(z,K(u,w)) \ v5),v6) = a(x,y \ (z \ v5),v6). [para(4903(a,1),16584(a,1,2,2))]. 16591 a(x,y \ (z * T(u,K(w,v5))),v6) = a(x,y \ (z * u),v6). [para(14551(a,1),16584(a,1,2,2))]. 16592 a(x,y \ (T(z,T(u,w)) \ v5),v6) = a(x,y \ (T(z,u) \ v5),v6). [para(7808(a,1),16590(a,1,2,2,1))]. 16593 a(x,y \ (z * (K(u,w) \ v5)),v6) = a(x,y \ (z * (v5 * K(w,u))),v6). [para(6770(a,1),16591(a,1,2,2,2)),flip(a)]. 16594 a(x,y \ (T(z,z \ u) \ w),v5) = a(x,y \ (((z \ u) \ u) \ w),v5). [para(3542(a,1),16592(a,1,2,2,1)),flip(a)]. 16595 a(x,y \ ((z * u) * K(w,v5)),x) = a(x,y \ (z * (K(v5,w) \ u)),x). [para(16593(a,2),16417(a,2))]. 16596 a(x,y \ ((z * (1 / z)) \ (z \ u)),w) = a(x,y \ (((z \ 1) \ 1) \ u),w). [para(4329(a,2),16594(a,1,2,2))]. 16597 a(x,y \ (K(z,u) \ (w * v5)),x) = a(x,y \ (w * (K(z,u) \ v5)),x). [para(16595(a,1),16588(a,2))]. 16598 a(x,y \ (((z \ 1) \ 1) \ u),w) = a(x,y \ (z \ u),w). [para(16596(a,1),13147(a,1))]. 16600 a(x,K(y,z) \ (u \ ((w / u) \ v5)),x) = a(x,w \ (K(y,z) \ v5),x). [para(16586(a,2),16418(a,1))]. 16603 a(x,y \ (K(z,u) \ ((w / y) \ v5)),x) = a(x,w \ (K(z,u) \ v5),x). [para(16600(a,1),16585(a,1)),flip(a)]. 16604 a(x,x \ (K(y,z) \ ((x \ u) \ w)),x) = a(x,u \ (K(y,z) \ w),x). [para(16603(a,1),16470(a,1)),flip(a)]. 16605 L(R(x,y,x),K(x,x * y),T(K(x,x * y),z)) = K(x,T(x * y,z)) \ (K(x,K(x * y,z)) \ T(x,y)). [para(15675(a,1),16115(a,1,2)),flip(a)]. 16606 L(R(x,y,x),K(x,x * y),T(K(x,x * y),z)) = K(x,T(x * y,z)) \ (K(x,K(y,z)) \ T(x,y)). [para(7429(a,1),16605(a,2,2,1))]. 16607 L(R(x,y,x),K(x,x * y),T(K(x,x * y),z)) = K(x,T(x * y,z)) \ T(T(x,y),K(y,z)). [para(14405(a,1),16606(a,2,2))]. 16608 L(R(x,y,x),K(x,x * y),T(K(x,x * y),z)) = K(x,T(x * y,z)) \ T(x,T(y,z)). [para(7808(a,1),16607(a,2,2))]. 16609 L(R(x,y,x),K(x,x * y),K(x,T(x * y,z))) = K(x,T(x * y,z)) \ T(x,T(y,z)). [para(6535(a,2),16608(a,1,3))]. 16610 K(x,T(x * y,z)) \ T(x,T(y,z)) = R(x,y,x). [para(16609(a,1),12760(a,1))]. 16611 K(x,T(y * x,z)) \ T(x,T(y,z)) = R(x,y,x). [para(5194(a,2),16610(a,1,1))]. 16612 K(x,x * T(y,z)) \ T(x,T(y,z)) = R(x,y,x). [para(16188(a,1),16611(a,1,1))]. 16613 R(x,T(y,z),x) = R(x,y,x). [para(16612(a,1),5016(a,1)),flip(a)]. 16614 R(x,y / z,x) = R(x,z \ y,x). [para(111(a,1),16613(a,1,2)),flip(a)]. 16619 R(x,y \ (y \ (T(y,z) * u)),x) = R(x,y \ ((y \ u) * T(y,z)),x). [para(9434(a,1),16613(a,1,2)),flip(a)]. 16621 R(x,y * z,x) = R(x,z * y,x). [para(16613(a,1),14674(a,1))]. 16622 K(x,(y / z) \ x) \ T(x,z / y) = R(x,y \ z,x). [para(16614(a,1),12780(a,2))]. 16623 R(x,y \ ((y \ z) * T(y,u)),x) = R(x,T(y,u) \ z,x). [para(16614(a,1),16456(a,2))]. 16624 K(x,((x * y) * z) / u) \ T(x,(y * z) / u) = R(x,(u / ((z \ 1) \ 1)) \ y,x). [para(16614(a,1),16517(a,2))]. 16625 R(x,y \ (T(y,z) * u),x) = R(x,(y \ u) * T(y,z),x). [para(799(a,2),16621(a,1,2))]. 16626 K(x,y * z) * K(x * (y * z),x) = x \ R(x,z * y,x). [para(16621(a,1),5023(a,2,2))]. 16627 R(x,K(y,z) \ ((y \ u) * y),x) = R(x,y * (y \ (K(y,z) \ u)),x). [para(7307(a,2),16621(a,1,2))]. 16629 K(x,y * z) * K(x * (y * z),x) = a(x,z * y,x). [para(16626(a,2),8393(a,1))]. 16630 a(x,y * z,x) = a(x,z * y,x). [para(16629(a,1),8398(a,1))]. 16631 a(x,y * (z / y),x) = a(x,z,x). [para(16(a,1),16630(a,1,2)),flip(a)]. 16632 a(x,y \ T(z,y \ 1),x) = a(x,y \ z,x). [para(3598(a,2),16631(a,1,2))]. 16633 a(x,(y * K(z,u)) * L(w / y,y,K(z,u)),x) = a(x,w * K(z,u),x). [para(14037(a,2),16631(a,1,2,2))]. 16634 a(x,T(y \ z,u) \ T(w,T(z \ y,u)),x) = a(x,T(y \ z,u) \ w,x). [para(8829(a,1),16632(a,1,2,2))]. 16635 R(x,y \ (y \ (T(y,z) * u)),x) = R(x,T(y,z) \ u,x). [para(16619(a,2),16623(a,1))]. 16636 R(x,(K(y,z) \ y) \ u,x) = R(x,T(y,z) \ u,x). [para(5196(a,1),16635(a,1,2))]. 16637 R(x,((y * z) / y) \ u,x) = R(x,T(z,y) \ u,x). [para(4709(a,1),16636(a,1,2,1))]. 16638 R(x,y * (y \ (K(y,z) \ u)),x) = R(x,(y \ u) * T(y,z),x). [para(16627(a,1),15846(a,1))]. 16639 R(x,y * (y \ (K(y,z) \ u)),x) = R(x,y \ (T(y,z) * u),x). [para(16638(a,2),16625(a,2)),flip(a)]. 16640 R(x,y \ (T(y,z) * u),x) = R(x,K(y,z) \ u,x). [para(14(a,1),16639(a,1,2)),flip(a)]. 16642 a(x,y \ (T(y,z) * u),x) = R(x,K(y,z) \ u,x) / x. [para(16640(a,1),8396(a,1,1)),flip(a)]. 16643 a(x,y \ (T(y,z) * u),x) = a(x,K(y,z) \ u,x). [para(16642(a,2),8396(a,1))]. 16644 a(x,K(y,z) \ u,x) = a(x,K(z,y) \ u,x). [para(4964(a,1),16643(a,1,2))]. 16645 a(x,K(y,z) \ (y * u),x) = a(x,T(y,z) * u,x). [para(4882(a,1),16644(a,1,2)),flip(a)]. 16646 a(x,K(y \ (y / z),u) \ ((y \ (y / z)) * w),x) = a(x,T(T(y \ (y / z),u),z \ 1) * w,x). [para(5958(a,2),16645(a,2,2,1))]. 16647 a(x,K(y,T(z,u)) \ (u * (w / u)),x) = a(x,w * K(z,y),x). [para(15769(a,1),16633(a,1,2))]. 16648 a(x,K(y,T(z,u)) \ (u * (w / u)),x) = a(x,K(y,z) \ w,x). [para(16647(a,2),16587(a,2)),flip(a)]. 16649 a(x,K(y,z) \ (u * (w / u)),x) = a(x,K(y,z) \ w,x). [para(16648(a,1),16583(a,1)),flip(a)]. 16650 a(x,K(y,z) \ T(u,w),x) = a(x,K(y,z) \ u,x). [para(16649(a,1),13150(a,1))]. 16652 a(x,y \ (K(z,u) \ T(y * T(w,v5),y)),x) = a(x,K(z,u) \ w,x). [para(16650(a,1),13152(a,2))]. 16653 a(x,T(y,z) \ T(y * T(u,w),y),x) = a(x,K(y \ 1,z) \ u,x). [para(16652(a,1),16482(a,1)),flip(a)]. 16654 a(x,K(y \ 1,z) \ u,x) = a(x,K(y,z) \ T(u,w),x). [para(16653(a,1),13082(a,1))]. 16655 a(x,K(y \ 1,z) \ u,x) = a(x,K(y,z) \ u,x). [para(108(a,1),16654(a,2,2,2))]. 16656 a(x,T(y \ z,u) \ T(w,z \ y),x) = a(x,T(y \ z,u) \ w,x). [para(16634(a,1),16589(a,1)),flip(a)]. 16658 K(x,((x * y) * z) / u) \ T(x,(y * z) / u) = R(x,(u / z) \ y,x). [para(16624(a,2),13252(a,1))]. 16659 K(x,(y / (z * u)) \ x) \ T(x,(z * u) / y) = R(x,(y / u) \ z,x). [para(12632(a,1),16658(a,1,1))]. 16660 R(x,(y / z) \ u,x) = R(x,y \ (u * z),x). [para(16659(a,1),16622(a,1))]. 16661 R(x,(y * z) \ (u * y),x) = R(x,T(z,y) \ u,x). [para(16660(a,1),16637(a,1))]. 16662 R(x,y \ (z \ (u * z)),x) = R(x,T(y,z) \ u,x). [para(16661(a,1),13069(a,1)),flip(a)]. 16663 R(x,T(y,z) \ u,x) = R(x,y \ T(u,z),x). [para(32(a,2),16662(a,1,2,2)),flip(a)]. 16664 x \ R(x,y \ T(z,u),x) = a(x,T(y,u) \ z,x). [para(16663(a,1),8393(a,1,2))]. 16665 a(x,T(y,z) \ u,x) = a(x,y \ T(u,z),x). [para(16664(a,1),8393(a,1))]. 16666 a(x,y \ (z \ (y * u)),x) = a(x,z \ T(u,y),x). [para(16665(a,1),13081(a,2))]. 16667 a(x,K(y \ 1,z) \ ((u \ (u / y)) * w),x) = a(x,T(T(u \ (u / y),z),y \ 1) * w,x). [para(5876(a,1),16646(a,1,2,1))]. 16669 a(x,T(T(y \ (y / z),u),z \ 1) * w,x) = a(x,K(z,u) \ ((y \ (y / z)) * w),x). [para(16667(a,1),16655(a,1))]. 16670 a(x,T(T(y \ (y / z),u),z \ 1) * w,x) = a(x,(y \ (y / T(z,u))) * w,x). [para(14060(a,1),16669(a,2,2))]. 16671 a(x,(y \ (y / T(z,u))) * w,x) = a(x,T(y \ (y / z),u) * w,x). [para(5958(a,1),16670(a,1,2,1)),flip(a)]. 16672 a(x,(y \ (y / T(z \ u,w))) * T(y,u \ z),x) = a(x,K(w,u \ (z * 1)) \ (y / (z \ u)),x). [para(16671(a,2),16500(a,1))]. 16673 a(x,y \ ((y / T(z \ u,w)) * T(y,u \ z)),x) = a(x,K(w,u \ (z * 1)) \ (y / (z \ u)),x). [para(16672(a,1),13157(a,2))]. 16674 a(x,K(y \ z,u) \ (u / T(z \ y,w)),x) = a(x,K(w,y \ (z * 1)) \ (u / (z \ y)),x). [para(16673(a,1),12813(a,1)),flip(a)]. 16675 L(R(x,T(y,x),T(x,y * L(x,z,u))),z,u) \ (L(x,z,u) * (T(y,x) * T(x,y))) = T(y,x) * L(T(x,y),T(y,x),L(x,z,u)). [para(44(a,1),16380(a,1,1))]. 16676 T(K(x,T(y,T(1 \ (z / u),z))) \ (u * (z / u)),((u \ z) \ 1) * z) = T(u * (z / u),((u \ z) \ 1) * z) * K(y,x). [para(8830(a,1),16441(a,1,1,1,2))]. 16677 T(K(x,T(y,T(z / u,z))) \ (u * (z / u)),((u \ z) \ 1) * z) = T(u * (z / u),((u \ z) \ 1) * z) * K(y,x). [para(50(a,1),16676(a,1,1,1,2,2,1))]. 16678 T(K(x,T(y,z \ u)) \ (z * (u / z)),((z \ u) \ 1) * u) = T(z * (u / z),((z \ u) \ 1) * u) * K(y,x). [para(6503(a,1),16677(a,1,1,1,2))]. 16679 T(x * ((y * K(z,u)) / x),((x \ y) \ 1) * y) = T(x * (y / x),((x \ y) \ 1) * y) * K(z,u). [para(16528(a,1),16678(a,1,1))]. 16680 T(x * ((y * K(z,u)) / x),y * ((y / x) \ 1)) = T(x * (y / x),((x \ y) \ 1) * y) * K(z,u). [para(16679(a,1),12401(a,1)),flip(a)]. 16681 T(x * (y / x),((x \ y) \ 1) * y) * K(z,u) = x * (T(y * K(z,u),y * ((y / x) \ 1)) / x). [para(16680(a,1),4343(a,1))]. 16682 L(R(x,y,x),z,u) \ (L(x,z,u) * (T(y,x) * T(x,y))) = T(y,x) * L(T(x,y),T(y,x),L(x,z,u)). [para(6492(a,1),16675(a,1,1,1))]. 16683 L(R(x,y,x),z,u) \ (L(x,z,u) * (y * x)) = T(y,x) * L(T(x,y),T(y,x),L(x,z,u)). [para(3844(a,1),16682(a,1,2,2))]. 16685 T(x,y) * L(T(y,x),T(x,y),L(y,z,u)) = a(y,x,y) \ (x * y). [para(16683(a,1),13313(a,1))]. 16686 T(x,y) * L(T(y,x),T(x,y),L(y,z,u)) = x * L(y,x,y). [para(16685(a,2),9511(a,1))]. 16688 T(x,y) * T(y,x * L(y,z,u)) = x * L(y,x,y). [para(16379(a,1),16686(a,1,2))]. 16689 T(x,y * L(x,z,u)) = T(x,x * y). [hyper(4033,a,16688,a),flip(a)]. 16691 T(x,L(x,y,z) * u) = T(x,x * u). [para(16689(a,1),7155(a,2))]. 16694 K(x,L(x,y,z) * u) = x \ T(x,x * u). [para(16691(a,1),4571(a,2,2))]. 16696 K(x,L(x,y,z) * u) = K(x,x * u). [para(16694(a,2),4571(a,2)),flip(a)]. 16697 K(x,y * L(x,z,u)) = K(x,x * y). [para(16696(a,1),12376(a,1)),flip(a)]. 16700 K(x,y \ L(x,z,u)) = K(x,x * (y \ 1)). [para(16697(a,1),13463(a,1)),flip(a)]. 16702 K(x,y \ L(x,z,u)) = K(x,y \ x). [para(16700(a,2),5057(a,1))]. 16703 T(x,T(y / T(L(K(z,u),w,v5) * v6,K(v7,v8)),(L(K(z,u),w,v5) \ K(v7,v8)) \ v6)) = T(x,(K(L(u,w,v5),z) \ v6) \ y). [para(15878(a,2),15135(a,1))]. 16705 T(x,T(y / T(L(K(z,u),w,v5) * v6,K(v7,v8)),(L(K(z,u),w,v5) \ K(v7,v8)) \ v6)) = T(x,v6 \ (K(z,L(u,w,v5)) \ y)). [para(16703(a,2),15833(a,1))]. 16706 T(x,T(y / T(L(K(z,u),w,v5) * v6,K(v7,v8)),(L(K(z,u),w,v5) \ K(v7,v8)) \ v6)) = T(x,v6 \ (L(K(z,u),w,v5) \ y)). [para(11214(a,2),16705(a,2,2,2,1))]. 16707 T(x,T(y / T(K(L(z,u,w),v5) \ v6,K(v7,v8)),(L(K(v5,z),u,w) \ K(v7,v8)) \ v6)) = T(x,v6 \ (L(K(v5,z),u,w) \ y)). [para(11228(a,2),16706(a,1,2,1,2,1))]. 16708 T(x,T(y / (K(L(z,u,w),v5) \ T(v6,K(v7,v8))),(L(K(v5,z),u,w) \ K(v7,v8)) \ v6)) = T(x,v6 \ (L(K(v5,z),u,w) \ y)). [para(14955(a,2),16707(a,1,2,1,2))]. 16709 T(x,T(y / (z * L(K(u,w),v5,v6)),(L(K(u,w),v5,v6) \ K(u,w)) \ z)) = T(x,z \ (L(K(u,w),v5,v6) \ y)). [para(15679(a,1),16708(a,1,2,1,2))]. 16710 T(x,T(y / (z * L(K(u,w),v5,v6)),z)) = T(x,z \ (L(K(u,w),v5,v6) \ y)). [para(16230(a,1),16709(a,1,2))]. 16712 K(x,L(y \ (L(T(z,K(u,w)),v5,v6) * v7),y,L(K(v7,T(z,K(u,w))),v5,v6))) = K(x,(K(L(T(z,K(u,w)),v5,v6),v7) \ y) \ (v7 * L(z,v5,v6))). [para(11214(a,2),15765(a,1,2,3))]. 16713 K(x,L(y \ (L(T(z,K(u,w)),v5,v6) * v7),y,L(K(v7,z),v5,v6))) = K(x,(K(L(T(z,K(u,w)),v5,v6),v7) \ y) \ (v7 * L(z,v5,v6))). [para(14455(a,1),16712(a,1,2,3,1))]. 16714 L(K(x,y \ (L(T(z,K(u,w)),v5,v6) * v7)),y,L(K(v7,z),v5,v6)) = K(x,(K(L(T(z,K(u,w)),v5,v6),v7) \ y) \ (v7 * L(z,v5,v6))). [para(16713(a,1),11214(a,2))]. 16716 L(K(x,y \ (L(z,u,w) * v5)),y,L(K(v5,z),u,w)) = K(x,(K(L(T(z,K(v6,v7)),u,w),v5) \ y) \ (v5 * L(z,u,w))). [para(15753(a,1),16714(a,1,1))]. 16717 K(x,(K(L(T(y,K(z,u)),w,v5),v6) \ v7) \ (v6 * L(y,w,v5))) = K(x,v7 \ (L(y,w,v5) * v6)). [para(16716(a,1),15589(a,1))]. 16719 K(x,(L(K(T(y,K(z,u)),w),v5,v6) \ v7) \ (w * L(y,v5,v6))) = K(x,v7 \ (L(y,v5,v6) * w)). [para(11250(a,2),16717(a,1,2,1,1))]. 16721 K(x,(L(K(y,z),u,w) \ v5) \ (z * L(y,u,w))) = K(x,v5 \ (L(y,u,w) * z)). [para(1194(a,1),16719(a,1,2,1,1,1,1))]. 16722 K(x,K(y,z) \ (u \ (z * L(y,w,v5)))) = K(x,u \ (L(y,w,v5) * z)). [para(16721(a,1),16189(a,1)),flip(a)]. 16723 K(x,y \ (L(x,z,u) * w)) = K(x,y \ (w * L(x,z,u))). [para(16722(a,1),7098(a,1))]. 16725 L(K(x,(y \ z) \ L(x,u,w)),y \ z,y) = K(x,z \ (L(x,u,w) * y)). [para(16723(a,2),11221(a,2))]. 16726 L(K(x,(y \ z) \ x),y \ z,y) = K(x,z \ (L(x,u,w) * y)). [para(16702(a,1),16725(a,1,1))]. 16727 K(x,y \ (L(x,z,u) * w)) = K(x,y \ (w * x)). [para(16726(a,1),11221(a,1))]. 16729 K(x,y \ (z * L(x,u,w))) = K(x,y \ (z * x)). [para(16727(a,1),16723(a,1)),flip(a)]. 16730 K(x,y \ ((z * u) * x)) = K(x,y \ (z * (u * x))). [para(95(a,1),16729(a,1,2,2)),flip(a)]. 16731 K(x,y \ (z * ((z \ u) * x))) = K(x,y \ (u * x)). [para(327(a,1),16729(a,1,2,2))]. 16733 K(x,(x * y) \ (z * (u * x))) = K(x,y \ (z * u)). [para(16730(a,1),7999(a,1))]. 16734 K(x,y \ ((z \ u) * (((z \ T(u,z)) \ u) * x))) = K(x,y \ (((z * u) / z) * x)). [para(10185(a,1),16730(a,1,2,2,1)),flip(a)]. 16735 K(x,y \ ((x * z) * u)) = K(x,y \ (z * (u * x))). [para(16730(a,1),12636(a,1)),flip(a)]. 16736 K(x,L(y \ (((z \ u) * x) * z),y,K(z,(z \ u) * x))) = K(x,(K((z \ u) * x,z) \ y) \ (u * x)). [para(5497(a,2),16731(a,1,2))]. 16737 K(x,y \ (x \ (z * (u * x)))) = K(x,y \ (z * u)). [para(16733(a,1),6461(a,1)),flip(a)]. 16738 K(x,y \ ((z * x) * u)) = K(x,y \ (z * (u * x))). [para(16735(a,1),9204(a,2))]. 16739 K(x,y \ (x \ (z * u))) = K(x,y \ (z * (u / x))). [para(16(a,1),16737(a,1,2,2,2,2))]. 16740 K(x,y \ (x \ (z * u))) = K(x,y \ (z * (x \ u))). [para(16739(a,2),7997(a,1))]. 16741 (x * K(y,z \ (y \ (u * w)))) \ x = K(z \ (u * (y \ w)),y). [para(16740(a,2),6793(a,1,1,2))]. 16742 K(x \ (y \ (z * u)),y) = K(x \ (z * (y \ u)),y). [para(16741(a,1),4675(a,1)),flip(a)]. 16743 L(K(x \ ((y \ x) \ z),x),y \ 1,y) = K(x \ (x \ (y * z)),x). [para(16742(a,2),11303(a,2))]. 16744 K(x,y \ ((z \ u) * (((z \ T(u,z)) \ u) * x))) = K(x,y \ (T(u,z) * x)). [para(16734(a,2),16275(a,1))]. 16745 K(x,y \ ((z \ u) * (z * x))) = K(x,y \ (T(u,z) * x)). [para(16744(a,1),16350(a,1)),flip(a)]. 16747 K(x,L(y \ (((z \ u) * x) * z),y,K(z,z \ (u * x)))) = K(x,(K((z \ u) * x,z) \ y) \ (u * x)). [para(12617(a,2),16736(a,1,2,3))]. 16748 K(x,L(y \ (((z \ u) * x) * z),y,K(z,u * x))) = K(x,(K((z \ u) * x,z) \ y) \ (u * x)). [para(12748(a,1),16747(a,1,2))]. 16749 L(K(x,y \ (((z \ u) * x) * z)),y,K(z,u * x)) = K(x,(K((z \ u) * x,z) \ y) \ (u * x)). [para(16748(a,1),11214(a,2))]. 16750 L(K(x,y \ ((z \ u) * (z * x))),y,K(z,u * x)) = K(x,(K((z \ u) * x,z) \ y) \ (u * x)). [para(16738(a,1),16749(a,1,1))]. 16751 L(K(x,y \ (T(z,u) * x)),y,K(u,z * x)) = K(x,(K((u \ z) * x,u) \ y) \ (z * x)). [para(16745(a,1),16750(a,1,1))]. 16752 K(x,(K((y \ z) * x,y) \ u) \ (z * x)) = K(x,u \ (T(z,y) * x)). [para(16751(a,1),15555(a,1))]. 16753 K(x,(K(y \ (z * x),y) \ u) \ (z * x)) = K(x,u \ (T(z,y) * x)). [para(12641(a,2),16752(a,1,2,1,1))]. 16755 K(x,y \ (K(z,z \ (u * x)) \ (u * x))) = K(x,y \ (T(u,z) * x)). [para(16753(a,1),15655(a,1)),flip(a)]. 16756 K(x,y \ ((z \ (u * x)) * z)) = K(x,y \ (T(u,z) * x)). [para(4536(a,1),16755(a,1,2,2))]. 16757 K(x,y \ T(z * x,u)) = K(x,y \ (T(z,u) * x)). [para(16756(a,1),14292(a,1)),flip(a)]. 16758 K(x,((y * x) / z) \ (T(y,u) * x)) = K(x,K(u,y * x) \ z). [para(16757(a,1),14580(a,1))]. 16759 K(x,K(y,z * x) \ u) = K(x,K(y,z) \ u). [para(16758(a,1),16184(a,1))]. 16760 K(x,y * K(x * z,u)) = K(x,K(u,z) \ y). [para(16759(a,1),15735(a,1)),flip(a)]. 16762 K(x,K(y,x * z) \ u) = K(x,K(y,z) \ u). [para(16760(a,1),14487(a,2))]. 16763 K(x,K(y,x * z) \ u) = K(x,K(z,y) \ u). [para(16762(a,2),14096(a,1))]. 16764 K(x,K(y,z) \ ((y / (x \ 1)) \ u)) = K(x,T(x * y,z) \ u). [para(16763(a,1),16452(a,1))]. 16765 K(x,(T(y,z) / (x \ 1)) \ u) = K(x,T(x * y,z) \ u). [para(16764(a,1),16337(a,1)),flip(a)]. 16766 K(x,T(x * y,z) \ u) = K(x,T(y,z) \ (x \ u)). [para(16765(a,1),9444(a,1))]. 16767 K(x,T(x \ y,z) \ (x \ u)) = K(x,T(y,z) \ u). [para(14(a,1),16766(a,1,2,1,1)),flip(a)]. 16768 K(x,T(y,z) \ (y * u)) = K(x,K(z,x \ y) \ u). [para(16767(a,1),16182(a,1))]. 16769 K(x,K(y,x \ z) \ u) = K(x,K(z,y) \ u). [para(4854(a,1),16768(a,1,2)),flip(a)]. 16770 K(x,y \ (K(z,x \ u) \ w)) = K(x,K(u,z) \ (y \ w)). [para(16769(a,1),16167(a,1)),flip(a)]. 16771 K((x \ 1) * L(x,y,z),x * (L(1 / (1 / x),y,z) \ u)) \ K(T(x,x \ 1),K(L(x,y,z),u)) = K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)). [para(11150(a,1),15953(a,1,1,1))]. 16772 K((x \ 1) * L(x,y,z),L(x,y,z) \ (((x \ 1) \ 1) * u)) \ K(T(x,x \ 1),K(L(x,y,z),u)) = K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)). [para(11889(a,2),16771(a,1,1,2))]. 16773 K((x \ 1) * L(x,y,z),L(x,y,z) \ (x * u)) \ K(T(x,x \ 1),K(L(x,y,z),u)) = K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)). [para(5327(a,1),16772(a,1,1))]. 16774 K(x \ L(x,y,z),L(x,y,z) \ (x * u)) \ K(T(x,x \ 1),K(L(x,y,z),u)) = K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)). [para(13455(a,1),16773(a,1,1))]. 16775 K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)) = K(u,a(z,y,x)) \ K(T(x,x \ 1),K(L(x,y,z),u)). [para(15768(a,1),16774(a,1,1)),flip(a)]. 16776 K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)) = K(u,a(z,y,x)) \ K(T(x,x \ 1),L(K(x,u),y,z)). [para(11250(a,2),16775(a,2,2,2))]. 16777 K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)) = K(u,a(z,y,x)) \ L(K(T(x,x \ 1),K(x,u)),y,z). [para(5495(a,2),16776(a,2,2))]. 16778 K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)) = K(u,a(z,y,x)) \ L(1,y,z). [para(2905(a,1),16777(a,2,2,1))]. 16779 K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)) = K(u,a(z,y,x)) \ 1. [para(265(a,1),16778(a,2,2))]. 16782 K(L(x,y,z) \ (u * T(x,x \ 1)),T(x,x \ 1) \ L(x,y,z)) = K(a(z,y,x),u). [para(16779(a,2),4796(a,1))]. 16783 K(L(x,y,z) \ (u * T(x,x \ 1)),x \ L(x,y,z)) = K(a(z,y,x),u). [para(16782(a,1),5092(a,1)),flip(a)]. 16784 T(x,T((y / (z * L(K(u,w),v5,v6))) * K(u,K(w,v7)),K(u,K(w,v7)) \ (z * L(K(u,w),v5,v6)))) = T(x,(z * L(K(u,T(w,v7)),v5,v6)) \ y). [para(15920(a,1),15937(a,2,2,1))]. 16786 T(x,T((y / (z * L(K(u,w),v5,v6))) * K(u,K(w,v7)),K(u,K(w,v7)) \ (z * L(K(u,w),v5,v6)))) = T(x,K(u,T(w,v7)) \ (z \ y)). [para(16784(a,2),16219(a,1))]. 16787 T(x,T((y / (z * L(K(u,w),v5,v6))) * K(u,K(w,v7)),K(u,K(w,v7)) \ (z * L(K(u,w),v5,v6)))) = T(x,K(w,u) \ (z \ y)). [para(16786(a,2),15008(a,1))]. 16789 T(x,T(K(y,K(z,u)) \ (w / (v5 * L(K(y,z),v6,v7))),K(y,K(z,u)) \ (v5 * L(K(y,z),v6,v7)))) = T(x,K(z,y) \ (v5 \ w)). [para(14450(a,2),16787(a,1,2,1))]. 16791 T(x,T(K(y,K(z,u)) \ (w / (v5 * L(K(y,z),v6,v7))),v5 * L(K(y,T(z,u)),v6,v7))) = T(x,K(z,y) \ (v5 \ w)). [para(15936(a,1),16789(a,1,2,2))]. 16792 T(x,T(K(y,K(z,u)) \ (w / (v5 * L(K(y,z),v6,v7))),K(T(z,u),y) \ v5)) = T(x,K(z,y) \ (v5 \ w)). [para(15784(a,1),16791(a,1,2))]. 16793 T(x,T(K(y,K(z,u)) \ (w / (v5 * L(K(y,z),v6,v7))),K(z,T(y,u)) \ v5)) = T(x,K(z,y) \ (v5 \ w)). [para(6573(a,1),16792(a,1,2,2,1))]. 16795 T(x,T(K(y,K(z,u)) \ (w / (v5 * L(K(y,z),v6,v7))),K(y,z) \ v5)) = T(x,K(z,y) \ (v5 \ w)). [para(15008(a,1),16793(a,1,2))]. 16796 T(x,K(y,K(z,u)) \ T(w / (v5 * L(K(y,z),v6,v7)),K(y,z) \ v5)) = T(x,K(z,y) \ (v5 \ w)). [para(14721(a,2),16795(a,1,2))]. 16798 T(x,T(y / (z * L(K(u,w),v5,v6)),K(u,w) \ z)) = T(x,K(w,u) \ (z \ y)). [para(16796(a,1),15132(a,1)),flip(a)]. 16799 T(x,T(y / (z * L(K(u,w),v5,v6)),z)) = T(x,K(w,u) \ (z \ y)). [para(16798(a,1),14841(a,1)),flip(a)]. 16802 T(x,y \ (L(K(z,u),w,v5) \ v6)) = T(x,K(u,z) \ (y \ v6)). [para(16799(a,1),16710(a,1)),flip(a)]. 16803 T(x,K(y,z) \ (u \ w)) = T(x,u \ (K(z,y) \ w)). [para(261(a,1),16802(a,1,2,2,1)),flip(a)]. 16804 T(x,K(y,z) \ (u \ (y * w))) = T(x,u \ (T(y,z) * w)). [para(6924(a,1),16802(a,1,2,2)),flip(a)]. 16806 T(x,K(y,z) \ (u \ w)) = T(x,u \ (K(y,z) \ w)). [para(16803(a,1),15010(a,1)),flip(a)]. 16807 T(x,K(y,z) \ (u \ (y * z))) = T(x,u \ (z * y)). [para(4534(a,1),16806(a,2,2,2))]. 16808 T(x,y \ (K(z,T(u,w)) \ v5)) = T(x,K(z,u) \ (y \ v5)). [para(16806(a,1),15013(a,1))]. 16809 T(x,y \ (T(z,u) * u)) = T(x,y \ (u * z)). [para(16804(a,1),16807(a,1))]. 16810 T(x,y \ (T(z,u) * T(u,w))) = T(x,y \ (T(u,w) * z)). [para(16809(a,1),15751(a,1)),flip(a)]. 16811 T(x,K(y,z) \ K(K(y,z) \ u,w)) = T(x,K(y,z) \ ((w * u) \ (u * w))). [para(16808(a,1),16504(a,2))]. 16812 T(x,y \ (T(z,u) * ((u \ w) \ w))) = T(x,y \ (T(u,u \ w) * z)). [para(110(a,1),16810(a,1,2,2,2))]. 16813 T(x,y \ (T(z,z \ u) * w)) = T(x,y \ (T(w,z) * T(z,u))). [para(16812(a,1),14323(a,1))]. 16814 T(x,y \ (T(z,z \ u) * w)) = T(x,y \ (T(z,u) * w)). [para(16813(a,2),16810(a,1))]. 16815 T(x,y \ (((z \ u) \ u) * w)) = T(x,y \ (T(z,u) * w)). [para(110(a,1),16814(a,1,2,2,1))]. 16816 K(x \ (((y \ z) \ z) * u),w) = w / T(w,x \ (T(y,z) * u)). [para(16815(a,1),4561(a,2,2))]. 16817 T(x,y \ (((y \ z) \ z) * u)) = T(x,K(z,y) \ u). [para(4964(a,1),16815(a,2,2))]. 16818 T(x,K(y,y \ z) \ u) = T(x,K(z,y) \ u). [para(16817(a,1),15019(a,1)),flip(a)]. 16819 T(x,K(y \ z,y) \ u) = T(x,K(z,y) \ u). [para(16818(a,1),15010(a,1)),flip(a)]. 16820 T(x,K(y,y \ z) \ u) = T(x,K(y,z) \ u). [para(16818(a,2),15010(a,1))]. 16821 T(x,(((y \ T(z,y)) \ z) \ z) / u) = T(x,K(z,y) \ ((T(y,z) \ z) / u)). [para(16818(a,1),16428(a,1)),flip(a)]. 16822 T(x,K(y * z,z) \ u) = T(x,K(y,z) \ u). [para(4749(a,1),16819(a,1,2,1)),flip(a)]. 16823 T(x,K(y * z,z \ 1) \ u) = T(x,K(y,z \ 1) \ u). [para(5564(a,1),16819(a,1,2,1))]. 16824 T(x,K(y \ z,y) \ u) = T(x,K(y,z) \ u). [para(16819(a,2),15010(a,1))]. 16825 T(x,K(y * z,z \ 1) \ u) = T(x,K(z * y,y) \ u). [para(5741(a,1),16820(a,1,2,1))]. 16826 K(x,(y \ z) \ (u * (z / y))) \ T(x,K(y,z) \ u) = T(x,K(u,y \ z)). [para(16824(a,1),16474(a,1,2))]. 16827 T(x,K(y * z,z) \ u) = T(x,K(z,y \ 1) \ u). [para(16825(a,1),16823(a,1))]. 16828 T(x,K(y,z \ 1) \ u) = T(x,K(z,y) \ u). [para(16827(a,1),16822(a,1))]. 16829 T(x,K(y \ 1,z) \ u) = T(x,K(z,y) \ u). [para(3165(a,1),16828(a,1,2,1)),flip(a)]. 16830 T(x,K(y * z,y) \ (u / ((z * y) \ z))) = T(x,u / ((((z * y) \ z) \ z) \ z)). [para(16829(a,1),15082(a,1))]. 16831 K(x \ (((y \ z) \ z) * u),w) = K(x \ (T(y,z) * u),w). [para(16816(a,2),4561(a,2)),flip(a)]. 16832 K(x \ (T(y,z) * T(u,y)),w) = K(x \ (u * T(y,y \ z)),w). [para(16831(a,1),15184(a,1))]. 16833 K(x \ (y * T(z,z \ u)),w) = K(x \ (y * T(z,u)),w). [para(16832(a,1),15162(a,1))]. 16834 K(L(x,y,z) \ (u * T(x,1)),x \ L(x,y,z)) = K(a(z,y,x),u). [para(16833(a,1),16783(a,1))]. 16835 K(L(x,y,z) \ (u * x),x \ L(x,y,z)) = K(a(z,y,x),u). [para(132(a,1),16834(a,1,1,2,2))]. 16836 K(a(x,y,z),u * L(z,y,x)) = K(z * u,z \ L(z,y,x)). [para(16835(a,1),14712(a,1))]. 16837 K(a(x,y,z),u * L(z,y,x)) = K(u,z \ L(z,y,x)). [para(16836(a,2),13709(a,1))]. 16838 K(a(x,y,z),L(z,y,x) * u) = K(u,z \ L(z,y,x)). [para(16837(a,1),15640(a,1)),flip(a)]. 16839 K(L(x,y,z) \ u,x \ L(x,y,z)) = K(a(z,y,x),u). [para(14(a,1),16838(a,1,2)),flip(a)]. 16840 K(a(x,y,z),u * z) = K(a(x,y,z),u). [para(16839(a,1),16835(a,1))]. 16842 K(L(x,y,z) \ x,(L(x,y,z) \ x) \ (u * (L(x,y,z) \ (x * x)))) = K(a(z,y,x),u). [para(16840(a,1),13199(a,2))]. 16843 T(x,K(y,z) \ K(K(y,z) \ u,w)) = T(x,K(y,z) \ K(u,w)). [para(26(a,2),16811(a,2,2,2))]. 16845 T(x,y \ T(K(z,u) \ y,w)) = T(x,K(z,u) \ K(y,w)). [para(16843(a,1),16196(a,1)),flip(a)]. 16846 (x \ T(x * K(y,z),u)) \ T(K(z,y) \ x,u) = T(T(x,K(z,y)),K(z,y) \ K(x,u)). [para(16845(a,1),16552(a,2))]. 16847 T(x,(((y \ T(z,y)) \ z) \ z) / u) = T(x,(y \ z) / u). [para(16821(a,2),16131(a,1))]. 16848 T(x,T(T(y,z) \ z,y) / u) = T(x,(y \ z) / u). [para(6943(a,1),16847(a,1,2,1))]. 16850 T(x,(y / T(z,y)) / u) = T(x,(z \ y) / u). [para(16848(a,1),16134(a,1)),flip(a)]. 16851 T(x,(y \ z) / T(u,y \ z)) = T(x,u \ (z / T(y,z))). [para(16850(a,1),14264(a,1))]. 16852 T(x,y \ (z / T(u,z))) = T(x,y \ (u \ z)). [para(16851(a,1),14260(a,1))]. 16853 K(x,y \ (z / T(u,z))) = (T(x,y \ (u \ z)) * R(x \ 1,x,w)) / ((w / (x * w)) * x). [para(16852(a,1),6251(a,1,1,1)),flip(a)]. 16854 K(x,y \ T(z * y,u)) \ T(x,K(u,y) \ z) = T(x,K(z,u \ y)). [para(16347(a,1),16826(a,1,1))]. 16855 T(x,K(y,z \ u)) = T(x,K(y,z * u)). [para(16854(a,1),16499(a,1))]. 16856 T(x,K(y,z \ (z \ u))) = T(x,K(y,u)). [para(14(a,1),16855(a,2,2,2))]. 16857 T(x,K(y,z \ u)) = T(x,K(y,u * z)). [para(16855(a,1),7764(a,1)),flip(a)]. 16858 T(x,K(y,z \ (u \ 1))) = T(x,K(y,z \ u)). [para(16857(a,2),12416(a,2))]. 16859 ((K(x,(y \ ((z / y) \ 1)) \ 1) \ T(y,K(x,z))) \ T(y,K(x,z))) \ T(y,K(x,z)) = T((z / y) \ T(z,x),K(x,y \ (z / y))). [para(16858(a,1),15390(a,2))]. 16860 T(x,K(y * z,z) \ (u / ((y * z) \ y))) = T(x,u / ((((y * z) \ y) \ y) \ y)). [para(5189(a,2),16830(a,1,2,1))]. 16861 T(x,K(y,z) \ (u / ((y * z) \ y))) = T(x,u / ((((y * z) \ y) \ y) \ y)). [para(16860(a,1),16822(a,1)),flip(a)]. 16862 T(x,K(y,z) \ (u / ((y * z) \ y))) = T(x,u / (y / (y * z))). [para(16861(a,2),16362(a,1))]. 16863 T(x,y / ((z * u) \ T(z,u))) = T(x,y / (z / (z * u))). [para(16862(a,1),16130(a,1)),flip(a)]. 16864 T(x,y / (z / (z * u))) = T(x,y / ((u * z) \ z)). [para(6048(a,1),16863(a,1,2,2)),flip(a)]. 16865 ((x / T(y \ z,u)) \ (T(x,1 / (((y / z) * z) \ z)) / T(y \ z,u))) * (x / T(y \ z,u)) = T(x,(z / (z * (y / z))) \ 1) / T(y \ z,u). [para(16864(a,1),16513(a,1,1,2,1))]. 16866 K(L(x,y,z) \ x,x \ (L(x,y,z) * (u * (L(x,y,z) \ (x * x))))) = K(a(z,y,x),u). [para(16842(a,1),10442(a,1)),flip(a)]. 16867 (x \ T(x * K(y,z),u)) \ T(K(z,y) \ x,u) = T(T(x,K(z,y) \ 1),K(z,y)). [para(16846(a,2),8018(a,1))]. 16868 (x \ T(x * K(y,z),u)) \ T(K(z,y) \ x,u) = T(T(x,K(y,z)),K(z,y)). [para(4796(a,1),16867(a,2,1,2))]. 16870 (x \ T(x * K(y,z),u)) \ T(K(z,y) \ x,u) = x. [para(16868(a,2),5378(a,1))]. 16871 (x * T(K(y,z) \ x,u)) / x = (x \ T(K(y,z) \ x,u)) * x. [para(16870(a,1),12864(a,1,2)),flip(a)]. 16872 (x \ T(K(y,z) \ x,u)) * x = T(x * K(z,y),u). [para(16871(a,1),12870(a,1))]. 16873 K(x,T(y,z \ u)) \ T(z,u) = T(z * K(y,x),u). [para(16872(a,1),16437(a,2))]. 16874 K(x,T(y,z \ u)) \ T(u,z) = T(u * K(y,x),z). [para(7860(a,1),16873(a,1,1))]. 16875 K(x,T(y,z)) \ T(u,z \ u) = T(u * K(y,x),z \ u). [para(14528(a,1),16873(a,1,1))]. 16876 K(x,T(y,L(T(z,z \ 1),z \ 1,u))) \ T(u,u * (z \ 1)) = T(u * K(y,x),u * (z \ 1)). [para(283(a,2),16874(a,1,1,2,2))]. 16877 K(x,y \ (z / T(u,z))) = K(x,y \ (u \ z)). [para(16853(a,2),6251(a,1))]. 16878 K(x,T(y,z \ u) \ (z \ u)) = K(x,(u / T(z,u)) / y). [para(16877(a,1),14263(a,1))]. 16879 K(x,(y / T(z,y)) / u) = K(x,(z \ y) / u). [para(16878(a,1),14141(a,1))]. 16880 K(x,(T(y,z) / z) / u) = K(x,(z \ y) / u). [para(3898(a,2),16879(a,1,2,1))]. 16881 K(x,(y \ z) / T(u,w)) \ K(x,K(y \ z,u)) = K(T(u,w) \ (T(z,y) / y),x). [para(16880(a,1),14642(a,1,1))]. 16882 K(T(x,y) \ (T(z,u) / u),w) = K(T(x,y) \ (u \ z),w). [para(16881(a,1),14423(a,1))]. 16883 K(T(x,y \ z) \ (y \ z),u) = K((T(z,y) / y) / x,u). [para(16882(a,1),14266(a,1))]. 16884 K((T(x,y) / y) / z,u) = K((y \ x) / z,u). [para(16883(a,1),14136(a,1))]. 16885 K((x \ y) / T(z,x \ y),u) = K(z \ (T(y,x) / x),u). [para(16884(a,1),14265(a,1))]. 16886 K(x \ (T(y,z) / z),u) = K(x \ (z \ y),u). [para(16885(a,1),12847(a,1))]. 16887 K(x \ (L(y,z,u) \ w),y) = K(y \ (x \ w),y). [para(16886(a,1),16572(a,2))]. 16888 L(K(x \ ((y \ x) \ z),x),y \ 1,y) = K(x \ (y * (L(x,u,w) \ z)),x). [para(16887(a,1),11302(a,1,1))]. 16889 K(x \ (y * (L(x,z,u) \ w)),x) = K(x \ (x \ (y * w)),x). [para(16888(a,1),16743(a,1))]. 16890 K(x \ (x \ (y * (z * x))),x) = K(y * (L(x,u,w) \ z),x). [para(16889(a,1),11374(a,1))]. 16891 K(x * (L(y,z,u) \ w),y) = K(y \ (x * w),y). [para(16890(a,1),11210(a,1))]. 16893 K(x,T(y,L(z,z \ 1,u))) \ T(u,u * (z \ 1)) = T(u * K(y,x),u * (z \ 1)). [para(9254(a,1),16876(a,1,1,2))]. 16894 K(x,T(y,z)) \ T(u,u * (z \ 1)) = T(u * K(y,x),u * (z \ 1)). [para(6021(a,1),16893(a,1,1,2))]. 16895 T(x * K(y,z),x * (u \ 1)) = K(z,T(y,u)) \ T(x,u \ x). [para(1645(a,1),16894(a,1,2)),flip(a)]. 16898 T(x * K(y,z),x * (u \ 1)) = T(x * K(y,z),u \ x). [para(16895(a,2),16875(a,1))]. 16899 T(x * (y / x),((x \ y) \ 1) * y) * K(z,u) = x * (T(y * K(z,u),(y / x) \ y) / x). [para(16898(a,1),16681(a,2,2,1))]. 16900 T(x * (y / x),((x \ y) \ 1) * y) * K(z,u) = x * (T(y * K(z,u),x) / x). [para(61(a,1),16899(a,2,2,1,2))]. 16901 T(x * (y / x),y * ((y / x) \ 1)) * K(z,u) = x * (T(y * K(z,u),x) / x). [para(12401(a,1),16900(a,1,1))]. 16902 (x * (T(y,y * ((y / x) \ 1)) / x)) * K(z,u) = x * (T(y * K(z,u),x) / x). [para(4343(a,1),16901(a,1,1))]. 16903 (x * (T(y,(y / x) \ y) / x)) * K(z,u) = x * (T(y * K(z,u),x) / x). [para(1645(a,1),16902(a,1,1,2,1))]. 16904 (x * (T(y,x) / x)) * K(z,u) = x * (T(y * K(z,u),x) / x). [para(61(a,1),16903(a,1,1,2,1,2))]. 16905 (x * (T((y * z) * K(z,u),x) / x)) / (y * T(z,u)) = a(x,x \ (y * z),x). [para(16904(a,1),14070(a,1,1))]. 16906 (x * (T(y * T(z,u),x) / x)) / (y * T(z,u)) = a(x,x \ (y * z),x). [para(5779(a,1),16905(a,1,1,2,1,1))]. 16907 (x * T(y,z)) \ (u * (T(x * T(y,z),u) / u)) = a(u,u \ (x * y),u). [para(16906(a,1),14668(a,1)),flip(a)]. 16908 a(x,x \ (y * T(z,u)),x) = a(x,x \ (y * z),x). [para(16907(a,1),12800(a,1)),flip(a)]. 16909 a(x,x \ (y * T(z,u)),x) = a(x,x \ (z * y),x). [para(16908(a,2),16466(a,1))]. 16910 a(x,x \ (1 \ (y * z)),x) = a(x,x \ (z * T(y,u)),x). [para(50(a,2),16909(a,2,2,2)),flip(a)]. 16911 a(x,x \ ((y \ 1) \ z),x) = a(x,x \ (z * T(y,u)),x). [para(16910(a,1),13096(a,2))]. 16912 a(x,x \ ((y \ 1) \ z),x) = a(x,x \ (z * y),x). [para(108(a,1),16911(a,2,2,2,2))]. 16913 a(x,x \ (y * (z \ 1)),x) = a(x,x \ (z \ y),x). [para(16912(a,1),16598(a,1))]. 16914 a(x,x \ ((y \ 1) * z),x) = a(x,x \ (y \ z),x). [para(16913(a,1),16466(a,1)),flip(a)]. 16915 a(x,x \ (((T(y,z) \ 1) \ 1) * ((y \ 1) * u)),x) = a(x,x \ (K(z,y) \ u),x). [para(11533(a,1),16914(a,2,2,2))]. 16916 a(x,x \ (T(y,z) * ((1 / y) * u)),x) = a(x,x \ (K(z,y) \ u),x). [para(5758(a,1),16915(a,1,2,2))]. 16917 ((K(x,(y \ ((z / y) \ 1)) \ 1) \ T(y,K(x,z))) \ T(y,K(x,z))) \ T(y,K(x,z)) = T((z / y) \ T(z,x),K(x,y \ (y \ z))). [para(16859(a,2),14922(a,1))]. 16918 ((K(x,(y \ ((z / y) \ 1)) \ 1) \ T(y,K(x,z))) \ T(y,K(x,z))) \ T(y,K(x,z)) = T((z / y) \ T(z,x),K(x,z)). [para(16917(a,2),16856(a,1))]. 16919 ((K(x,(y \ ((z / y) \ 1)) \ 1) \ T(y,K(x,z))) \ T(y,K(x,z))) \ T(y,K(x,z)) = T((z / y) \ T(z,x),K(z,x)). [para(16918(a,2),7431(a,1))]. 16921 ((K(x,(y \ ((z / y) \ 1)) \ 1) \ T(y,K(x,z))) \ T(y,K(x,z))) \ T(y,K(x,z)) = (z / T(y,K(z,x))) \ T(z,x). [para(16919(a,2),15861(a,2)),flip(a)]. 16922 ((K(x,(y \ ((z / y) \ 1)) \ 1) \ T(y,K(x,z))) \ T(y,K(x,z))) \ T(y,K(x,z)) = T(z,x) / (y \ z). [para(16921(a,2),15031(a,1))]. 16923 (((x / y) \ T(x,z)) \ T(y,K(z,x))) \ T(y,K(z,x)) = T(x,z) / (y \ x). [para(15080(a,1),16922(a,1,1,1))]. 16924 (((x / y) \ T(x,z)) \ y) \ y = T(x,z) / (y \ x). [para(16923(a,1),15681(a,1)),flip(a)]. 16925 K(x,((y / z) \ 1) \ z) \ z = T(y,x) / (z \ y). [para(7190(a,2),16924(a,1,1))]. 16927 (K(x,((y / z) \ 1) \ z) \ z) \ T(y,x) = z \ y. [para(16925(a,2),61(a,1,1))]. 16928 (1 / ((K(x,((y / z) \ 1) \ z) \ z) \ y)) \ K(y,x) = z \ y. [para(16927(a,1),11867(a,2))]. 16929 (1 / (((x \ ((1 / x) \ K(y,z))) \ u) \ z)) \ K(z,y) = u \ z. [para(13555(a,1),16928(a,1,1,2,1,1))]. 16931 (1 / ((1 / (x \ K(y,z))) \ z)) \ K(z,y) = x \ z. [para(13932(a,1),16929(a,1,1,2,1))]. 16932 (1 / (x \ K(y,z))) \ T(z,y) = x \ z. [para(16931(a,1),11867(a,1)),flip(a)]. 16933 (K(x,y) \ z) \ T(y,x) = z \ y. [para(13926(a,1),16932(a,1,1))]. 16936 (K(x,y) \ z) \ (y * x) = z \ (x * y). [para(16933(a,1),12966(a,1)),flip(a)]. 16937 (x * y) / (z \ (y * x)) = K(y,x) \ z. [para(16936(a,1),59(a,1,2))]. 16939 (x * y) / (y * T(x,T(z,y))) = K(y,x) \ K(z,x). [para(7213(a,1),16937(a,1,2))]. 16940 ((x / T(y \ z,u)) \ (T(x,1 / (y \ z)) / T(y \ z,u))) * (x / T(y \ z,u)) = T(x,(z / (z * (y / z))) \ 1) / T(y \ z,u). [para(16(a,1),16865(a,1,1,2,1,2,2,1))]. 16941 ((x / T(y \ z,u)) \ (T(x,z \ y) / T(y \ z,u))) * (x / T(y \ z,u)) = T(x,(z / (z * (y / z))) \ 1) / T(y \ z,u). [para(5947(a,1),16940(a,1,1,2,1))]. 16942 R(x,K(y,K(z,u)) \ w,T(K(y,T(z,u)),K(y,K(z,u)) \ w)) * (K(z,y) \ w) = (x * (K(y,T(z,u)) \ (K(z,y) \ w))) * ((K(y,T(z,u)) \ (K(z,y) \ w)) \ (K(z,y) \ w)). [para(16141(a,1),16142(a,1,1,3,2))]. 16943 (x * (K(y,T(z,u)) \ (K(z,y) \ w))) * ((K(y,T(z,u)) \ (K(z,y) \ w)) \ (K(z,y) \ w)) = R(x,K(y,K(z,u)) \ w,T(K(y,T(z,u)),w)) * (K(z,y) \ w). [para(15132(a,1),16942(a,1,1,3)),flip(a)]. 16944 (x * (K(y,T(z,u)) \ (K(z,y) \ w))) * ((K(y,T(z,u)) \ (K(z,y) \ w)) \ (K(z,y) \ w)) = R(x,K(y,K(z,u)) \ w,K(y,T(T(z,u),w))) * (K(z,y) \ w). [para(6535(a,2),16943(a,2,1,3))]. 16946 (x * (K(y,T(z,u)) \ (K(z,y) \ w))) * ((K(y,T(z,u)) \ (K(z,y) \ w)) \ (K(z,y) \ w)) = L(x,K(y,K(z,u)) \ w,K(y,T(T(z,u),w))) * (K(z,y) \ w). [para(14034(a,1),16944(a,2,1))]. 16947 (x * (K(y,T(z,u)) \ (K(z,y) \ w))) * ((K(y,T(z,u)) \ (K(z,y) \ w)) \ (K(z,y) \ w)) = L(x,K(y,K(z,u)) \ w,K(y,T(z,u))) * (K(z,y) \ w). [para(15968(a,1),16946(a,2,1))]. 16949 (x * (K(y,T(z,u)) \ (K(z,y) \ w))) * ((K(y,T(z,u)) \ (K(z,y) \ w)) \ (K(z,y) \ w)) = L(x,w,K(y,z)) * (K(z,y) \ w). [para(15969(a,1),16947(a,2,1))]. 16951 (x * (K(y,K(z,u)) \ w)) * ((K(y,T(z,u)) \ (K(z,y) \ w)) \ (K(z,y) \ w)) = L(x,w,K(y,z)) * (K(z,y) \ w). [para(16141(a,1),16949(a,1,1,2))]. 16952 (K(x,K(y,z)) \ (u * w)) * ((K(x,T(y,z)) \ (K(y,x) \ w)) \ (K(y,x) \ w)) = L(u,w,K(x,y)) * (K(y,x) \ w). [para(15687(a,2),16951(a,1,1))]. 16953 (K(x,K(y,z)) \ (u * w)) * ((K(x,K(y,z)) \ w) \ (K(y,x) \ w)) = L(u,w,K(x,y)) * (K(y,x) \ w). [para(16141(a,1),16952(a,1,2,1))]. 16954 (K(x,K(y,z)) \ (u * w)) * (w \ (K(x,K(y,z)) \ (K(y,x) \ w))) = L(u,w,K(x,y)) * (K(y,x) \ w). [para(15651(a,1),16953(a,1,2))]. 16955 (K(x,K(y,z)) \ (u * w)) * (w \ (K(y,T(x,z)) \ w)) = L(u,w,K(x,y)) * (K(y,x) \ w). [para(15728(a,1),16954(a,1,2,2))]. 16956 (K(x,K(y,z)) \ (u * w)) * K(T(x,z),T(y,w)) = L(u,w,K(x,y)) * (K(y,x) \ w). [para(6544(a,1),16955(a,1,2))]. 16957 (K(x,K(y,z)) \ (u * w)) * K(x,T(T(y,w),z)) = L(u,w,K(x,y)) * (K(y,x) \ w). [para(6573(a,1),16956(a,1,2))]. 16958 K(x,K(y,z)) \ ((u * w) * K(x,T(T(y,w),z))) = L(u,w,K(x,y)) * (K(y,x) \ w). [para(16957(a,1),15543(a,2))]. 16959 L(x,y,K(z,u)) * (K(u,z) \ y) = (x * y) * K(z,T(u,y)). [para(16958(a,1),15822(a,1))]. 16960 K((K(x,y) \ z) \ K(y,x),K(x,y) \ z) = K(y,x) \ (((z \ 1) * z) * K(y,T(x,z))). [para(16959(a,1),5404(a,1,2)),flip(a)]. 16961 K((K(x,y) \ z) \ K(y,x),K(x,y) \ z) = K(y,x) \ (L(L(z,u,w) \ L(L(z,u,w),L(z,u,w) \ 1,L(z,u,w)),v5,v6) * K(y,T(x,z))). [para(11463(a,2),16960(a,2,2,1))]. 16962 K((K(x,y) \ z) \ K(y,x),K(x,y) \ z) = K(y,x) \ (K(T(x,z),y) \ L(L(z,u,w) \ L(L(z,u,w),L(z,u,w) \ 1,L(z,u,w)),v5,v6)). [para(16396(a,2),16961(a,2,2))]. 16963 K((K(x,y) \ z) \ K(y,x),K(x,y) \ z) = K(y,x) \ (K(x,T(y,z)) \ L(L(z,u,w) \ L(L(z,u,w),L(z,u,w) \ 1,L(z,u,w)),v5,v6)). [para(6573(a,1),16962(a,2,2,1))]. 16964 K((K(x,y) \ z) \ K(y,x),K(x,y) \ z) = K(y,x) \ ((z \ K(y,x)) * z). [para(15773(a,1),16963(a,2,2))]. 16965 K((K(x,y) \ z) \ K(y,x),K(x,y) \ z) = K(z \ K(y,x),z). [para(16964(a,2),88(a,1))]. 16966 (K(x,y) \ z) * (K(y,x) / (K(x,y) \ z)) = K(z \ K(y,x),z) \ K(y,x). [para(16965(a,1),4822(a,1,1)),flip(a)]. 16967 (K(x,y) \ z) * (K(y,x) / (K(x,y) \ z)) = z * (K(y,x) / z). [para(16966(a,2),4822(a,1))]. 16968 (x * K(y,z)) * L(1 / x,x,K(y,z)) = x * (K(y,z) / x). [para(16967(a,1),16376(a,1)),flip(a)]. 16969 K(x,T(y,z)) \ (z * (1 / z)) = z * (K(y,x) / z). [para(16968(a,1),15769(a,1)),flip(a)]. 16970 L(L(x,y,z) \ L(L(x,y,z),L(x,y,z) \ 1,L(x,y,z)),u,w) \ K(T(v5,x),v6) = x * (K(v5,v6) / x). [para(16969(a,1),11469(a,2))]. 16971 L(L(x,y,z) \ L(L(x,y,z),L(x,y,z) \ 1,L(x,y,z)),u,w) \ K(v5,v6) = x * (K(v5,T(v6,x)) / x). [para(7478(a,1),16970(a,1,2))]. 16972 (K(x,y) \ z) * (L(L(z,u,w) \ L(L(z,u,w),L(z,u,w) \ 1,L(z,u,w)),v5,v6) \ K(x,y)) = T(z,z \ K(x,y)). [para(16971(a,2),6707(a,1,2))]. 16973 (x * y) / L(L(z,u,w) \ L(L(z,u,w),L(z,u,w) \ 1,L(z,u,w)),v5,v6) = x * (L(L(z,v7,v8) \ L(L(z,v7,v8),L(z,v7,v8) \ 1,L(z,v7,v8)),v9,v10) \ y). [para(10078(a,1),12311(a,1,2))]. 16974 L(L(x,y,z) \ L(L(x,y,z),L(x,y,z) \ 1,L(x,y,z)),u,w) \ (v5 * v6) = v5 * (L(L(x,v7,v8) \ L(L(x,v7,v8),L(x,v7,v8) \ 1,L(x,v7,v8)),v9,v10) \ v6). [para(16973(a,1),4483(a,1)),flip(a)]. 16976 L(L(x,y,z) \ L(L(x,y,z),L(x,y,z) \ 1,L(x,y,z)),u,w) \ ((K(v5,v6) \ x) * K(v5,v6)) = T(x,x \ K(v5,v6)). [para(16974(a,2),16972(a,1))]. 16977 L(L(x,y,z) \ L(L(x,y,z),L(x,y,z) \ 1,L(x,y,z)),u,w) \ T(x,K(v5,v6)) = T(x,x \ K(v5,v6)). [para(6703(a,1),16976(a,1,2))]. 16978 (x \ 1) \ K(x,K(y,z)) = T(x,x \ K(y,z)). [para(16977(a,1),11468(a,1)),flip(a)]. 16979 (x \ 1) \ K(y,K(x,z)) = T(x,x \ K(z,y)). [para(7378(a,1),16978(a,1,2))]. 16980 K(x,T(y,z)) / T(z,z \ K(y,x)) = K(x,y) / T(z,z \ 1). [para(16979(a,1),15087(a,1,2))]. 16981 K(x,y) / T(z,z \ 1) = z \ K(x,T(y,z)). [para(16980(a,1),15032(a,1))]. 16982 x \ K(y,T(z,x)) = K(y,z) / ((x \ 1) \ 1). [para(110(a,1),16981(a,1,2)),flip(a)]. 16983 (x \ T(K(y,T(z,x)),x \ 1)) / (x \ 1) = (x \ 1) \ (K(y,z) / T(x,x \ 1)). [para(16981(a,2),712(a,2,2))]. 16984 (x \ 1) \ (x \ K(y,T(z,x))) = (1 / x) \ (K(y,z) / x). [para(16982(a,2),2651(a,1,2))]. 16985 K(x,(y \ 1) \ (z / y)) = (1 / y) \ (K(x,z) / y). [para(16984(a,1),13563(a,2))]. 16987 (1 / T(x,y)) \ (K(z,u) / T(x,y)) = K(z,(x \ 1) \ (u / x)). [para(16985(a,1),15682(a,1))]. 16988 (1 / T(x,y)) \ (K(z,u) / T(x,y)) = (1 / x) \ (K(z,u) / x). [para(16987(a,2),16985(a,1))]. 16989 (x / T(y,z)) \ (T(x,u) / T(y,z)) = (1 / y) \ (K(x,u) / y). [para(16988(a,1),16207(a,1)),flip(a)]. 16990 ((1 / (x \ y)) \ (K(z,y \ x) / (x \ y))) * (z / T(x \ y,u)) = T(z,(y / (y * (x / y))) \ 1) / T(x \ y,u). [para(16989(a,1),16941(a,1,1))]. 16991 (x \ 1) \ (K(y,z) / T(x,x \ 1)) = (x \ K(y,T(T(z,x),x))) / (x \ 1). [para(7853(a,1),16983(a,1,1,2)),flip(a)]. 16992 (x \ 1) \ (K(y,z) / T(x,x \ 1)) = (x \ K(y,z)) / (x \ 1). [para(7477(a,1),16991(a,2,1,2))]. 16994 (x \ 1) \ (x \ K(y,T(z,x))) = (x \ K(y,z)) / (x \ 1). [para(16981(a,1),16992(a,1,2))]. 16995 (x \ K(y,z)) / (x \ 1) = (1 / x) \ (K(y,z) / x). [para(16994(a,1),16984(a,1))]. 16996 (1 / (x \ y)) \ (K(z,y \ x) / (x \ y)) = K(z,y \ x). [para(16995(a,1),13451(a,1))]. 16998 T(x,(y / (y * (z / y))) \ 1) / T(z \ y,u) = K(x,y \ z) * (x / T(z \ y,u)). [para(16996(a,1),16990(a,1,1)),flip(a)]. 16999 K(x \ y,z) \ (z / T(y \ x,u)) = T(z,(x / (x * (y / x))) \ 1) / T(y \ x,u). [para(16998(a,2),4906(a,2))]. 17000 K(x \ y,z) \ (z / T(y \ x,u)) = T(z,(x * (y / x)) / x) / T(y \ x,u). [para(3941(a,1),16999(a,2,1))]. 17001 K(x \ y,z) \ (z / T(y \ x,u)) = T(z,T(y / x,x)) / T(y \ x,u). [para(7691(a,1),17000(a,2,1))]. 17002 K(x \ y,z) \ (z / T(y \ x,u)) = T(z,x \ y) / T(y \ x,u). [para(111(a,1),17001(a,2,1,2))]. 17003 a(x,K(y,z \ (u * 1)) \ (w / (u \ z)),x) = a(x,T(w,z \ u) / T(u \ z,y),x). [para(17002(a,1),16674(a,1,2)),flip(a)]. 17004 a(x,K(y,z \ (u * 1)) \ (w / (u \ z)),x) = a(x,T(u \ z,y) \ T(w,z \ u),x). [para(17003(a,2),12789(a,1))]. 17005 a(x,K(y,z \ (u * 1)) \ (w / (u \ z)),x) = a(x,T(u \ z,y) \ w,x). [para(17004(a,2),16656(a,1))]. 17006 a(x,K(y,z \ u) \ (w / (u \ z)),x) = a(x,T(u \ z,y) \ w,x). [para(12(a,1),17005(a,1,2,1,2,2))]. 17007 a(x,(y \ z) \ (K(u,z \ y) \ w),x) = a(x,T(y \ z,u) \ w,x). [para(17006(a,1),13078(a,2))]. 17008 a(x,y \ (z * (K(u,y \ z) \ w)),x) = a(x,T(z \ y,u) \ w,x). [para(17007(a,1),13062(a,1)),flip(a)]. 17009 a(x,y \ (z * (K(u,y \ z) \ w)),x) = a(x,(z \ y) \ T(w,u),x). [para(17008(a,2),16665(a,1))]. 17010 a(x,y \ (z * (K(u,y \ z) \ w)),x) = a(x,y \ (z * T(w,u)),x). [para(17009(a,2),13062(a,1))]. 17011 a(x,y \ (K(z,y \ u) \ (u * w)),x) = a(x,y \ (u * T(w,z)),x). [para(17010(a,1),16597(a,2))]. 17012 L(K(x,K(y,x \ z) \ (z * u)),w,v5) \ L(K(x,x \ (K(y,x \ z) \ (z * u))),w,v5) = a(x,x \ (z * T(u,y)),x). [para(17011(a,1),13091(a,2))]. 17013 L(K(x,K(y,z) \ (y * u)),w,v5) \ L(K(x,x \ (K(z,x \ y) \ (y * u))),w,v5) = a(x,x \ (y * T(u,z)),x). [para(16769(a,1),17012(a,1,1,1))]. 17014 L(K(x,T(y,z) * u),w,v5) \ L(K(x,x \ (K(z,x \ y) \ (y * u))),w,v5) = a(x,x \ (y * T(u,z)),x). [para(14095(a,1),17013(a,1,1,1))]. 17015 L(K(x,T(y,z) * u),w,v5) \ L(K(x,K(y,z) \ (x \ (y * u))),w,v5) = a(x,x \ (y * T(u,z)),x). [para(16770(a,1),17014(a,1,2,1))]. 17016 L(K(x,T(y,z) * u),w,v5) \ L(K(x,x \ (T(y,z) * u)),w,v5) = a(x,x \ (y * T(u,z)),x). [para(16178(a,1),17015(a,1,2,1))]. 17017 a(x,x \ (T(y,z) * u),x) = a(x,x \ (y * T(u,z)),x). [para(17016(a,1),13091(a,1)),flip(a)]. 17018 a(x,x \ (y * T((1 / y) * z,u)),x) = a(x,x \ (K(u,y) \ z),x). [para(17017(a,1),16916(a,1))]. 17019 a(x,x \ (K(y,z) \ u),x) = a(x,x \ (z * ((1 / z) * u)),x). [para(17018(a,1),16908(a,1))]. 17020 a(x,x \ L(y,z \ 1,z),x) = a(x,x \ (K(u,z) \ y),x). [para(17019(a,2),13153(a,1)),flip(a)]. 17022 a(x,x \ (K(y,z) \ u),x) = a(x,x \ u,x). [para(17020(a,1),13094(a,1))]. 17024 a(x,y \ (K(z,u) \ w),x) = a(x,x \ ((x \ y) \ w),x). [para(17022(a,1),16604(a,1)),flip(a)]. 17025 a(x,y \ (K(z,u) \ w),x) = a(x,x \ (y \ (x * w)),x). [para(17024(a,2),13096(a,1))]. 17027 a(x,y \ T(z,x),x) = a(x,y \ (K(u,w) \ z),x). [para(17025(a,2),16666(a,1)),flip(a)]. 17028 a(x,y \ (K(z,u) \ w),x) = a(x,y \ w,x). [para(17027(a,1),8629(a,1))]. 17032 a(x,y \ (z / u),x) = a(x,y \ (u \ z),x). [para(4594(a,1),17028(a,1,2,2)),flip(a)]. 17033 a(x,K(y,z) \ u,x) = a(x,u,x). [para(4909(a,1),17028(a,1,2)),flip(a)]. 17035 a(x,y \ (T(z,u) \ w),x) = a(x,y \ (z \ w),x). [para(4903(a,1),17028(a,1,2,2))]. 17036 a(x,y \ (((z * u) * w) / (z * w)),x) = a(x,y \ R(u,z,w),x). [para(14372(a,1),17028(a,1,2,2))]. 17039 L(x,K(y,z) \ u,x) = a(x,u,x) \ x. [para(17033(a,1),8572(a,1,1)),flip(a)]. 17042 L(x,K(y,z) \ u,x) = L(x,u,x). [para(17039(a,2),8572(a,1))]. 17046 L(x,K(y,z) \ K(u,w),x) = x. [para(17042(a,2),12853(a,1))]. 17047 (x * y) / (y * T(x,T(z,y))) = (y * T(x,z)) \ (x * y). [para(17046(a,1),15222(a,1,1)),flip(a)]. 17048 a(x,y \ (z \ u),x) = a(x,z \ (y \ u),x). [para(17032(a,1),13078(a,2))]. 17049 a(x,y \ ((z * u) \ w),x) = a(x,u \ (z \ (y \ w)),x). [para(17048(a,1),13060(a,1))]. 17051 (x * T(y,z)) \ (y * x) = K(x,y) \ K(z,y). [para(17047(a,1),16939(a,1))]. 17053 a(x,y \ (z \ (u \ (z * (y * w)))),x) = a(x,u \ L(w,y,z),x). [para(28(a,2),17049(a,1,2,2)),flip(a)]. 17054 a(x,y \ ((z * u) \ w),x) = a(x,z \ (u \ (y \ w)),x). [para(17049(a,2),17048(a,1))]. 17055 a(x,y \ ((z * T(u,w)) \ v5),x) = a(x,z \ (u \ (y \ v5)),x). [para(17054(a,2),17035(a,1))]. 17056 a(x,y \ ((z * u) \ ((z * w) * u)),x) = a(x,y \ R(w,z,u),x). [para(17036(a,1),17032(a,1)),flip(a)]. 17057 a(x,y \ R(z,u,T(w,T(u * z,v5))),x) = a(x,y \ ((u * T(w,u * z)) \ (w * (u * z))),x). [para(15877(a,1),17056(a,1,2,2)),flip(a)]. 17058 a(x,y \ R(z,u,T(w,T(u * z,v5))),x) = a(x,u \ (w \ (y \ (w * (u * z)))),x). [para(17057(a,2),17055(a,1))]. 17060 a(x,y \ R(z,u,T(w,T(u * z,v5))),x) = a(x,y \ L(z,u,w),x). [para(17058(a,2),17053(a,1))]. 17061 a(x,y \ R(z,u,w),x) = a(x,y \ L(z,u,w),x). [para(17060(a,1),16427(a,1)),flip(a)]. 17062 a(x,y \ L(z,u,w),x) \ x = L(x,y \ R(z,u,w),x). [para(17061(a,1),8572(a,1,1))]. 17064 L(x,y \ R(z,u,w),x) = L(x,y \ L(z,u,w),x). [para(17062(a,1),8572(a,1))]. 17065 L(x,y \ L(y,z,u),x) = L(x,a(y,z,u),x). [para(17064(a,1),12984(a,1))]. 17066 L(x,y * L(y \ 1,z,u),x) = L(x,a(y \ 1,z,u),x). [para(4500(a,1),17065(a,1,2))]. 17067 T(x,K(T(x,y) * (z * L(z \ 1,u,w)),y)) = L(x,a(z \ 1,u,w),x). [para(17066(a,1),15616(a,2))]. 17068 L(x,a(y \ 1,z,u),x) = x. [para(17067(a,1),1924(a,1))]. 17069 L(x,a(y,z,u),x) = x. [para(61(a,1),17068(a,1,2,1))]. 17070 L(x,L(y,z,u) \ y,x) = x. [para(17069(a,1),13074(a,2))]. 17071 K((x * L(y,z,u)) \ (x * y),x * L(y,z,u)) = (L(y,z,u) * T(x,y)) \ (x * L(y,z,u)). [para(17070(a,1),13314(a,1,2)),flip(a)]. 17072 K((x * (y \ L(y,z,u))) \ x,x * (y \ L(y,z,u))) = ((y \ L(y,z,u)) * x) \ (x * (y \ L(y,z,u))). [para(17070(a,1),13319(a,1,2)),flip(a)]. 17073 K((x * L(y,z,u)) \ (x * y),x * L(y,z,u)) = K(L(y,z,u),x) \ K(y,x). [para(17071(a,2),17051(a,1))]. 17075 K((x * L(y,z,u)) \ (x * y),x * L(y,z,u)) = L(K(y,x),z,u) \ K(y,x). [para(11250(a,2),17073(a,2,1))]. 17076 K((x * L(y,z,u)) \ (x * y),x * L(y,z,u)) = a(K(x,y),z,u). [para(17075(a,2),13480(a,1))]. 17077 K(L(x,y,z) \ (u \ (u * x)),u * L(x,y,z)) = a(K(u,x),y,z). [para(17076(a,1),13623(a,1)),flip(a)]. 17078 K(L(x,y,z) \ x,u * L(x,y,z)) = a(K(u,x),y,z). [para(13(a,1),17077(a,1,1,2))]. 17079 K(a(x,y,z),u * L(z,y,x)) = a(K(u,z),y,x). [para(17078(a,1),13196(a,1)),flip(a)]. 17080 K(x,y \ L(y,z,u)) = a(K(x,y),z,u). [para(17079(a,1),16837(a,1)),flip(a)]. 17081 K((x * (y \ L(y,z,u))) \ x,x * (y \ L(y,z,u))) = K(x,y \ L(y,z,u)). [para(17072(a,2),26(a,2)),flip(a)]. 17083 K((x \ L(x,y,z)) \ 1,u * (x \ L(x,y,z))) = K(u,x \ L(x,y,z)). [para(17081(a,1),4832(a,1)),flip(a)]. 17084 K(L(x,y,z) \ x,u * (x \ L(x,y,z))) = K(u,x \ L(x,y,z)). [para(17083(a,1),5861(a,1)),flip(a)]. 17086 K(L(x,y,z) \ x,x \ (L(x,y,z) * u)) = K(u,x \ L(x,y,z)). [para(17084(a,1),13308(a,2))]. 17087 K(x * (L(y,z,u) \ (y * y)),y \ L(y,z,u)) = K(a(u,z,y),x). [para(17086(a,1),16866(a,1))]. 17088 a(K(x * (L(y,z,u) \ (y * y)),y),z,u) = K(a(u,z,y),x). [para(17087(a,1),17080(a,1)),flip(a)]. 17089 a(K(x \ (y * (x * x)),x),z,u) = K(a(u,z,x),y). [para(16891(a,1),17088(a,1,1))]. 17090 a(K(x * y,y),z,u) = K(a(u,z,y),x). [para(11162(a,1),17089(a,1,1))]. 17092 a(K(x,y),z,u) = K(a(u,z,y),x). [para(17090(a,1),12905(a,1)),flip(a)]. 17093 a(x,y,K(z,u)) = K(a(x,y,z),u). [para(17092(a,1),13436(a,1)),flip(a)]. 17094 $F # answer("Ka_eq_aK3"). [resolve(17093,a,48,a)]. ============================== end of proof ==========================