============================== prooftrans ============================ Prover9 (64) version 2017-09A, September 2017. Process 14050 was started by veroff on theorem, Sat Jan 4 14:07:16 2020 The command was "prover9 -f aK1_eq_aK3.in". ============================== end of head =========================== ============================== end of input ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 1 at 4309.99 (+ 122.81) seconds: "aK1_eq_aK3". % Length of proof is 13844. % Level of proof is 709. % Maximum clause weight is 73.000. % Given clauses 13986 (19.726 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 a(K(x,y),z,u) = a(x,z,K(u,y)) # label("aK1_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) # label("AIM-TT condition"). [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 a(K(c1,c2),c3,c4) != a(c1,c3,K(c4,c2)) # label("aK1_eq_aK3") # answer("aK1_eq_aK3"). [deny(10)]. 48 1 \ x = x. [para(11(a,1),13(a,1,2))]. 49 x \ x = 1. [para(12(a,1),13(a,1,2))]. 50 x \ (x * (y \ (y * z))) = z. [para(13(a,2),13(a,1))]. 51 x * (x \ (1 * y)) = y. [para(14(a,2),11(a,1))]. 52 x * (y * (y \ 1)) = x. [para(14(a,2),12(a,1,2))]. 53 x \ (y * (y \ (x * z))) = z. [para(14(a,2),13(a,1,2))]. 54 x * (y * (y \ (x \ z))) = z. [para(14(a,2),14(a,1,2))]. 55 x / x = 1. [para(11(a,1),15(a,1,1))]. 56 x / 1 = x. [para(12(a,1),15(a,1,1))]. 57 x / (y \ x) = y. [para(14(a,1),15(a,1,1))]. 58 ((1 / x) * x) * y = y. [para(16(a,2),11(a,1,1))]. 59 (x / y) \ x = y. [para(16(a,1),13(a,1,2))]. 60 (x \ (x * (y / z))) * z = y. [para(13(a,2),16(a,1,1))]. 61 ((x * (x \ y)) / z) * z = y. [para(16(a,2),14(a,1))]. 62 (((x * y) / z) * z) / y = x. [para(16(a,2),15(a,1,1))]. 63 (((x / y) / z) * z) * y = x. [para(16(a,2),16(a,1,1))]. 64 1 * x != y | x = y. [para(11(a,1),19(a,2))]. 65 x * y != x | 1 = y. [para(12(a,1),19(a,1)),flip(a)]. 66 (x * y) * 1 != x * z | z = y. [para(12(a,2),19(a,2)),flip(a)]. 67 x \ (x * (y * z)) != y * u | u = z. [para(13(a,2),19(a,2)),flip(a)]. 68 x * y != z | x \ z = y. [para(14(a,1),19(a,1)),flip(a)]. 69 x * (x \ (y * z)) != y * u | u = z. [para(14(a,2),19(a,2)),flip(a)]. 71 x * 1 != y | x = y. [para(12(a,1),20(a,2))]. 72 x * (y \ z) != z | x = y. [para(14(a,1),20(a,2))]. 73 ((x * y) * z) / z != u * y | u = x. [para(15(a,2),20(a,2)),flip(a)]. 74 x * y != z | z / y = x. [para(16(a,1),20(a,1)),flip(a)]. 76 x * (y * (y \ z)) = x * z. [hyper(21,a,14,a)]. 77 (x * (x \ y)) * z = y * z. [hyper(22,a,14,a)]. 78 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(24(a,2),14(a,1,2))]. 79 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(14(a,1),24(a,2,2,1)),flip(a)]. 80 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(16(a,1),24(a,2,1,2)),flip(a)]. 81 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(16(a,1),24(a,2,2,1)),flip(a)]. 82 (x * y) * K(y,x) = y * x. [para(26(a,2),14(a,1,2))]. 83 x \ ((y \ x) * y) = K(y \ x,y). [para(14(a,1),26(a,2,1)),flip(a)]. 84 ((x \ y) * x) \ y = K(x,x \ y). [para(14(a,1),26(a,2,2)),flip(a)]. 85 x \ (y * (x / y)) = K(y,x / y). [para(16(a,1),26(a,2,1)),flip(a)]. 86 (x * (y / x)) \ y = K(y / x,x). [para(16(a,1),26(a,2,2)),flip(a)]. 87 (x * 1) \ (x * y) = L(y,1,x). [para(11(a,1),28(a,2,2,2)),flip(a)]. 88 (x * y) \ (x * y) = L(1,y,x). [para(12(a,1),28(a,2,2,2)),flip(a)]. 89 (x * y) * L(z,y,x) = x * (y * z). [para(28(a,2),14(a,1,2))]. 90 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(14(a,1),28(a,2,1)),flip(a)]. 91 L(x \ y,x,z) = (z * x) \ (z * y). [para(14(a,1),28(a,2,2,2))]. 92 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(16(a,1),28(a,2,1)),flip(a)]. 93 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(16(a,1),28(a,2,2,2))]. 94 L(x,y,z / (y * x)) = ((z / (y * x)) * y) \ z. [para(16(a,1),28(a,2,2))]. 95 (x * y) / (x * y) = R(1,x,y). [para(11(a,1),30(a,2,1,1)),flip(a)]. 96 ((x * 1) * y) / y = R(x,1,y). [para(11(a,1),30(a,2,2)),flip(a)]. 97 (x * y) / (y * 1) = R(x,y,1). [para(12(a,1),30(a,2,1)),flip(a)]. 98 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(14(a,1),30(a,2,1,1))]. 99 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(14(a,1),30(a,2,1))]. 100 R(x,y,z) * (y * z) = (x * y) * z. [para(30(a,2),16(a,1,1))]. 101 R(x / y,y,z) = (x * z) / (y * z). [para(16(a,1),30(a,2,1,1))]. 102 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(16(a,1),30(a,2,2)),flip(a)]. 103 T(x,x) = x. [para(32(a,2),13(a,1))]. 104 x * T(y,x) = y * x. [para(32(a,2),14(a,1,2))]. 105 T(x,x \ y) = (x \ y) \ y. [para(14(a,1),32(a,2,2))]. 106 T(x / y,y) = y \ x. [para(16(a,1),32(a,2,2))]. 107 L(T(T(x,y),z),u,w) = T(L(T(x,z),u,w),y). [para(38(a,1),40(a,1,1))]. 108 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)]. 109 (x * (x \ 1)) \ y = y. [para(14(a,2),48(a,1,1))]. 110 K(x,x) = 1. [para(49(a,1),26(a,2))]. 111 x / (y * (y \ 1)) = x. [para(14(a,2),56(a,1,2))]. 112 x / ((1 / y) * y) = x. [para(16(a,2),56(a,1,2))]. 113 T(T(x,y),x) = T(x,y). [para(103(a,1),38(a,1,1)),flip(a)]. 114 (x / (y \ x)) * z = y * z. [hyper(22,a,57,a)]. 115 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(24(a,2),57(a,1,2))]. 116 (x * y) / K(x,y) = y * x. [para(26(a,2),57(a,1,2))]. 117 (x * (y * z)) / L(z,y,x) = x * y. [para(28(a,2),57(a,1,2))]. 118 (x * y) / T(x,y) = y. [para(32(a,2),57(a,1,2))]. 119 R(x,y,z) \ ((x * y) * z) = y * z. [para(30(a,2),59(a,1,1))]. 120 ((1 / x) * x) * y != z | y = z. [para(16(a,2),64(a,1,1))]. 121 x * (y * (y \ 1)) != z | x = z. [para(14(a,2),71(a,1,2))]. 122 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(52(a,1),24(a,2,1)),flip(a)]. 123 L(x \ 1,x,y) = (y * x) \ y. [para(52(a,1),28(a,2,2))]. 124 ((1 / x) * (x * y)) \ y = a(1 / x,x,y). [para(58(a,1),24(a,2,2)),flip(a)]. 125 R(1 / x,x,y) = y / (x * y). [para(58(a,1),30(a,2,1))]. 126 T((x * y) / x,x) = y. [hyper(17,a,16,a(flip),b,104,a)]. 127 (x * T(y,x)) / x = y. [hyper(18,a,16,a,b,104,a(flip)),flip(a)]. 128 x \ (y * T(x,y)) = y. [hyper(17,a,14,a,b,104,a(flip)),flip(a)]. 129 (x \ y) * T(x,x \ y) = y. [para(104(a,2),14(a,1))]. 130 x * (y * (y \ T(z,x))) = z * x. [para(14(a,2),104(a,1,2))]. 131 x * y != z * x | T(z,x) = y. [para(104(a,1),19(a,1)),flip(a)]. 132 x * T(y,x) != y * z | z = x. [para(104(a,2),19(a,2)),flip(a)]. 133 x * T(y,x) != z * x | z = y. [para(104(a,2),20(a,2)),flip(a)]. 134 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(104(a,1),24(a,2,1,2)),flip(a)]. 135 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(104(a,1),24(a,2,2,1)),flip(a)]. 136 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(104(a,1),24(a,2,2)),flip(a)]. 137 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(104(a,1),26(a,2,1)),flip(a)]. 138 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(104(a,1),28(a,2,1)),flip(a)]. 139 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(104(a,1),28(a,2,2,2)),flip(a)]. 140 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(104(a,1),30(a,2,1,1)),flip(a)]. 141 (x * (y * z)) / (z * T(x,y * z)) = R(y,z,T(x,y * z)). [para(104(a,1),30(a,2,1)),flip(a)]. 142 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(104(a,1),30(a,2,2)),flip(a)]. 143 T(x,y) \ (x * y) = T(y,T(x,y)). [para(104(a,1),32(a,2,2)),flip(a)]. 144 x * T(T(y,x),z) = T(y,z) * x. [para(38(a,1),104(a,1,2))]. 145 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(40(a,2),104(a,1,2))]. 146 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(42(a,2),104(a,1,2))]. 147 (x * y) \ ((z * x) * y) = T(R(z,x,y),x * y). [para(30(a,2),106(a,1,1)),flip(a)]. 148 T(T(x / y,z),y) = T(y \ x,z). [para(106(a,1),38(a,1,1)),flip(a)]. 149 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(106(a,1),40(a,1,1)),flip(a)]. 150 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(106(a,1),42(a,1,1)),flip(a)]. 151 T(x / (x / y),x / y) = y. [para(106(a,2),59(a,1))]. 152 K(x \ 1,x) = (x \ 1) * x. [para(109(a,1),26(a,2))]. 153 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(109(a,1),28(a,2)),flip(a)]. 154 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(111(a,1),30(a,2)),flip(a)]. 155 (x * (1 / y)) * y = R(x,1 / y,y). [para(112(a,1),30(a,2)),flip(a)]. 156 T(x,T(x,y)) = x. [hyper(35,a,113,a)]. 157 T(T(T(x,y),z),x) = T(T(x,y),z). [para(113(a,1),38(a,1,1)),flip(a)]. 158 T(x,y) * x = x * T(x,y). [para(113(a,1),104(a,1,2)),flip(a)]. 159 x / T(y,y \ x) = y \ x. [para(14(a,1),118(a,1,1))]. 160 (R(x,y,z) * u) / R(T(x,u),y,z) = u. [para(42(a,2),118(a,1,2))]. 161 T(T((x * y) / x,z),x) = T(y,z). [para(126(a,1),38(a,1,1)),flip(a)]. 162 T((x * y) / x,y) = (x * y) / x. [para(126(a,1),156(a,1,2))]. 163 (x * T(T(y,x),z)) / x = T(y,z). [para(38(a,1),127(a,1,1,2))]. 164 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(40(a,2),128(a,1,2,2))]. 165 x \ (y * (y \ x)) = 1. [para(12(a,1),53(a,1,2,2,2))]. 166 (x / y) \ (z * (z \ x)) = y. [para(16(a,1),53(a,1,2,2,2))]. 167 x \ ((x * y) * L(z,y,x)) = y * z. [para(28(a,2),53(a,1,2,2))]. 168 x * (x \ y) = y * 1. [para(165(a,1),14(a,1,2)),flip(a)]. 169 x * (x \ y) = y * (z * (z \ 1)). [para(14(a,2),168(a,2,2))]. 171 L(x \ (y \ z),x,y) = (y * x) \ z. [para(54(a,1),28(a,2,2))]. 172 x * (x \ (y * z)) = y * (u * (u \ z)). [para(53(a,1),54(a,1,2,2,2)),flip(a)]. 173 ((x * (x \ y)) / z) \ y = z. [hyper(68,a,61,a)]. 174 (x / y) * y = 1 * x. [para(51(a,1),61(a,1,1,1))]. 175 (x / y) * y = ((1 / z) * z) * x. [para(16(a,2),174(a,2,1))]. 176 1 * x != y * z | x / z = y. [para(174(a,1),20(a,1))]. 177 ((x / y) * y) / z = x / z. [para(16(a,1),62(a,1,1,1,1))]. 178 (R(x,y,z) * (y * z)) / z = x * y. [para(30(a,2),62(a,1,1,1))]. 179 R((x / y) / z,z,y) = x / (z * y). [para(63(a,1),30(a,2,1))]. 180 ((x * y) / z) * z = ((x / u) * u) * y. [para(62(a,1),63(a,1,1,1,1)),flip(a)]. 181 x \ (x * y) = z * (z \ y). [hyper(68,a,76,a)]. 182 (x / (y * (y \ z))) * z = x. [para(76(a,1),16(a,1))]. 184 K(x,1 / x) = x * (1 / x). [hyper(17,a,58,a,b,82,a)]. 185 x * K(y \ x,y) = (y \ x) * y. [para(14(a,1),82(a,1,1))]. 186 x * K(y,x / y) = y * (x / y). [para(16(a,1),82(a,1,1))]. 187 (x * y) * z != y * x | K(y,x) = z. [para(82(a,1),19(a,1)),flip(a)]. 189 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(82(a,1),28(a,2,2,2)),flip(a)]. 190 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(82(a,1),30(a,2,1)),flip(a)]. 191 K(x,y) \ (x * y) = T(y * x,K(x,y)). [para(82(a,1),32(a,2,2)),flip(a)]. 192 (x * y) / T(y * x,K(x,y)) = K(x,y). [para(82(a,1),118(a,1,1))]. 193 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(22,a,105,a)]. 194 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(21,a,105,a)]. 195 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(105(a,1),38(a,1,1)),flip(a)]. 196 T(x / y,(x / y) \ x) = y \ x. [para(59(a,1),105(a,2,1))]. 197 T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. [para(105(a,2),105(a,1,2))]. 198 (x * y) / y = z / (x \ z). [hyper(74,a,114,a)]. 199 x / (y \ x) = z / (y \ z). [hyper(18,a,114,a,b,114,a)]. 200 x / (y \ x) = z * (z \ y). [hyper(18,a,77,a,b,114,a)]. 201 x \ ((y / (x \ y)) * z) = z. [hyper(17,a,14,a(flip),b,114,a)]. 203 x / K(y,y \ x) = (y \ x) * y. [para(14(a,1),116(a,1,1))]. 204 (x \ y) * z != y | T(x,x \ y) = z. [para(129(a,1),19(a,1)),flip(a)]. 205 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(129(a,1),28(a,2,2,2))]. 206 T(x \ y,T(x,x \ y)) = T(x,x \ y) \ y. [para(129(a,1),32(a,2,2))]. 207 T(x / (x / y),(z / (x / y)) \ z) = y. [para(59(a,2),151(a,1,2))]. 208 (x \ 1) \ K(x \ 1,x) = x. [hyper(68,a,152,a(flip))]. 210 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(152(a,2),24(a,2,1,2)),flip(a)]. 211 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(152(a,2),30(a,2,1,1)),flip(a)]. 212 x \ K(x \ 1,x) = T(x \ 1,x). [para(152(a,2),32(a,2,2)),flip(a)]. 213 K((1 / x) \ 1,1 / x) = x * (1 / x). [para(59(a,1),152(a,2,1))]. 214 x / R(T(y,R(y,z,u) \ x),z,u) = R(y,z,u) \ x. [para(42(a,2),159(a,1,2))]. 215 (x / y) * y = z * (z \ x). [para(166(a,1),14(a,1,2))]. 216 x * (x \ y) != z * u | y / u = z. [para(166(a,1),72(a,1,2)),flip(a),flip(b)]. 217 x / (y \ ((x / z) * z)) = y. [para(177(a,1),57(a,1))]. 218 (x / y) \ x = z * (z \ y). [para(16(a,1),181(a,1,2))]. 220 (x \ y) \ y = z * (z \ T(x,x \ y)). [para(129(a,1),181(a,1,2))]. 221 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(30(a,2),182(a,1,1))]. 222 x \ K(x,1 / x) = 1 / x. [hyper(68,a,184,a(flip))]. 223 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(184(a,2),28(a,2,1)),flip(a)]. 224 x / (y \ x) != z * u | z \ y = u. [para(200(a,2),19(a,1))]. 225 (x * (x \ y)) \ z = y \ z. [para(200(a,1),59(a,1,1))]. 226 x / (y \ x) = (y / z) * z. [para(59(a,1),200(a,2,2))]. 228 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(28(a,2),217(a,1,2))]. 230 (x * y) / y = (x / z) * z. [para(13(a,1),226(a,1,2))]. 232 (x * y) / y != z * u | x / u = z. [para(230(a,2),20(a,1))]. 233 x * y != x * z | z = y. [para(12(a,1),66(a,1))]. 234 x \ (x * y) = L(y,1,x). [para(12(a,1),87(a,1,1))]. 235 L(x,1,y) = x. [para(234(a,1),13(a,1))]. 236 a(x,1,y) = 1. [hyper(34,a,235,a)]. 237 L(1,x,y) = 1. [para(88(a,1),49(a,1))]. 239 R(1,x,y) = 1. [para(95(a,1),55(a,1))]. 241 (x * y) / y = R(x,1,y). [para(12(a,1),96(a,1,1,1))]. 242 R(x,1,y) = x. [para(241(a,1),15(a,1))]. 243 (x * y) / y = R(x,y,1). [para(12(a,1),97(a,1,2))]. 244 R(x,y,1) = x. [para(243(a,1),15(a,1))]. 245 L(x \ 1,x,y) * z = ((y * x) \ y) * z. [hyper(22,a,123,a)]. 246 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(21,a,123,a)]. 247 (x * y) * L(y \ 1,y,x) = x. [para(123(a,2),14(a,1,2))]. 248 L((x \ y) \ 1,x \ y,x) = y \ x. [para(14(a,1),123(a,2,1))]. 249 L(x \ 1,x,y / x) = y \ (y / x). [para(16(a,1),123(a,2,1))]. 250 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(123(a,1),40(a,2,1)),flip(a)]. 251 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(123(a,1),44(a,1,1))]. 252 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(123(a,1),45(a,1,1)),flip(a)]. 253 x / L(y \ 1,y,x) = x * y. [para(123(a,2),57(a,1,2))]. 254 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(59(a,1),123(a,1,1))]. 255 K(x \ 1,x) \ (x \ 1) = L(x \ 1,x,x \ 1). [para(152(a,2),123(a,2,1)),flip(a)]. 256 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(22,a,125,a)]. 257 R(1 / x,x,x \ y) = (x \ y) / y. [para(14(a,1),125(a,2,2))]. 258 R(1 / (x / y),x / y,y) = y / x. [para(16(a,1),125(a,2,2))]. 259 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(125(a,1),42(a,2,1)),flip(a)]. 260 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(125(a,1),46(a,1,1)),flip(a)]. 261 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(57(a,1),125(a,1,1))]. 262 R(1 / x,x,y) \ y = x * y. [para(125(a,2),59(a,1,1))]. 263 R(1 / x,x,T(y,x)) = T(y,x) / (y * x). [para(104(a,1),125(a,2,2))]. 264 (1 / x) / K(x,1 / x) = R(1 / x,x,1 / x). [para(184(a,2),125(a,2,2)),flip(a)]. 265 x \ (x * (y * z)) != z * u | T(y,z) = u. [para(13(a,2),131(a,2)),flip(a)]. 267 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(38(a,1),133(a,1,2)),flip(b)]. 268 ((1 / x) * x) * y != z * u | y / u = z. [para(16(a,2),176(a,1,1))]. 269 L(x \ 1,x,1 / x) = 1 / x. [hyper(120,a,247,a)]. 270 (x * y) * z != x | L(y \ 1,y,x) = z. [para(247(a,1),19(a,1)),flip(a)]. 271 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(247(a,1),28(a,2,2,2))]. 272 x / L(y,1 / y,x) = x * (1 / y). [para(59(a,1),253(a,1,2,1))]. 273 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(57(a,1),262(a,1,1,1))]. 274 L(T(x \ 1,y),x,1 / x) = T(1 / x,y). [para(269(a,1),40(a,2,1))]. 275 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(13(a,1),83(a,2,1)),flip(a)]. 276 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(104(a,2),83(a,1,2))]. 277 T((x \ y) * x,K(x,x \ y)) = (((x \ y) * x) \ y) \ y. [para(84(a,1),105(a,1,2))]. 278 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(130(a,1),28(a,2,2))]. 279 x * T(x \ (y * x),z) = T(y,z) * x. [para(32(a,1),144(a,1,2,1))]. 280 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(38(a,1),144(a,1,2,1))]. 281 T(x / y,z) * y = y * T(y \ x,z). [para(106(a,1),144(a,1,2,1)),flip(a)]. 282 T(x,y) * T(x,z) = T(x,z) * T(x,y). [para(156(a,1),144(a,1,2,1))]. 283 T((x * y) / x,z) * x = x * T(y,z). [para(126(a,1),144(a,1,2,1)),flip(a)]. 284 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(105(a,1),144(a,1,2,1))]. 285 T(T(T(x / y,z),u),y) = T(T(y \ x,z),u). [para(148(a,1),38(a,1,1)),flip(a)]. 286 (x * T(x \ y,z)) / x = T(y / x,z). [para(148(a,1),127(a,1,1,2))]. 287 x * T(x \ y,z) != u * x | T(y / x,z) = u. [para(148(a,1),133(a,1,2)),flip(b)]. 288 T(T(x / y,z),u) * y = y * T(T(y \ x,z),u). [para(148(a,1),144(a,1,2,1)),flip(a)]. 289 T(x,T(T(x,y),z)) = x. [hyper(35,a,157,a)]. 290 (x * T(y,z)) / x = T((x * y) / x,z). [para(161(a,1),127(a,1,1,2))]. 291 T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). [para(105(a,1),161(a,1,1))]. 292 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(161(a,1),133(a,1,2)),flip(b)]. 293 T(x,(y * x) / y) = x. [hyper(35,a,162,a)]. 294 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(151(a,1),163(a,1,1,2,1))]. 295 x * (y * (y \ 1)) != z * u | z \ x = u. [para(169(a,1),19(a,1))]. 296 (x \ y) * x != y * z | K(x \ y,x) = z. [para(185(a,1),19(a,1))]. 297 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(185(a,1),28(a,2,2,2)),flip(a)]. 299 (x * y) * L(z,y,x) != x * u | y * z = u. [para(28(a,2),69(a,1,2)),flip(b)]. 300 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(120,a,89,a),flip(a)]. 301 L(x \ T(y * x,y),x,y) = y. [hyper(17,a,130,a(flip),b,89,a)]. 302 L(x \ (y \ ((y * x) * z)),x,y) = z. [hyper(17,a,54,a(flip),b,89,a)]. 303 L(x,y,1 / y) / (y * x) = 1 / y. [hyper(18,a,175,a,b,89,a(flip)),flip(a)]. 304 x * L(y,z \ x,z) = z * ((z \ x) * y). [para(14(a,1),89(a,1,1))]. 305 x * L(y,z,x / z) = (x / z) * (z * y). [para(16(a,1),89(a,1,1))]. 306 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(89(a,1),19(a,1)),flip(a)]. 307 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(89(a,1),28(a,2,1)),flip(a)]. 308 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(89(a,1),28(a,2,2,2)),flip(a)]. 309 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(89(a,1),30(a,2,1,1)),flip(a)]. 310 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(89(a,1),30(a,2,1)),flip(a)]. 311 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(40(a,1),89(a,1,2))]. 312 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(44(a,2),89(a,1,2))]. 313 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(45(a,1),89(a,1,2))]. 314 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(104(a,1),89(a,1,1))]. 315 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(152(a,2),89(a,1,1))]. 316 L((x \ y) \ z,x \ y,x) = y \ (x * z). [para(14(a,1),91(a,2,1))]. 317 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(16(a,1),91(a,2,1))]. 318 L(x \ y,x,z / y) = ((z / y) * x) \ z. [para(16(a,1),91(a,2,2))]. 319 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(24(a,2),91(a,1,1)),flip(a)]. 320 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(91(a,1),40(a,2,1)),flip(a)]. 321 (x * y) / L(z \ y,z,x) = x * z. [para(91(a,2),57(a,1,2))]. 322 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(104(a,1),91(a,2,1))]. 323 L((x \ 1) \ y,x \ 1,x) = x * y. [para(91(a,2),109(a,1))]. 324 x / L(y \ z,y,x / z) = (x / z) * y. [para(91(a,2),217(a,1,2))]. 325 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [para(91(a,2),85(a,1))]. 326 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(89(a,1),91(a,2,1))]. 327 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(17,a,169,a,b,100,a(flip)),flip(a)]. 328 R(x,y / z,z) * y = (x * (y / z)) * z. [para(16(a,1),100(a,1,2))]. 329 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(100(a,1),20(a,1))]. 330 ((x * y) * z) \ ((R(x,y,z) * y) * z) = a(R(x,y,z),y,z). [para(100(a,1),24(a,2,1)),flip(a)]. 331 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [para(100(a,1),28(a,2,2)),flip(a)]. 332 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(100(a,1),30(a,2,1,1)),flip(a)]. 333 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(100(a,1),30(a,2,2)),flip(a)]. 334 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(42(a,1),100(a,1,1))]. 335 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(44(a,1),100(a,1,1))]. 336 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(46(a,1),100(a,1,1))]. 337 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(104(a,1),100(a,1,2))]. 338 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(100(a,1),82(a,1,1))]. 339 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(82(a,1),100(a,1,2))]. 340 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(152(a,2),100(a,1,2))]. 341 ((x * y) * z) * L(u,y * z,R(x,y,z)) = R(x,y,z) * ((y * z) * u). [para(100(a,1),89(a,1,1))]. 342 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(14(a,1),101(a,2,1))]. 343 R(x / (y / z),y / z,z) = (x * z) / y. [para(16(a,1),101(a,2,2))]. 344 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(101(a,1),42(a,2,1)),flip(a)]. 345 R(x / y,y,z) \ (x * z) = y * z. [para(101(a,2),59(a,1,1))]. 346 R(x / y,y,y \ 1) = x * (y \ 1). [para(101(a,2),111(a,1))]. 347 R(x / (1 / y),1 / y,y) = x * y. [para(101(a,2),112(a,1))]. 348 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(158(a,1),101(a,2,2))]. 349 R(x / y,y,x \ z) \ z = y * (x \ z). [para(101(a,2),173(a,1,1))]. 350 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(100(a,1),101(a,2,1))]. 351 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(100(a,1),101(a,2,2))]. 352 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(101(a,2),101(a,1,1))]. 353 (x * y) / L(z,y / z,x) = x * (y / z). [para(16(a,1),117(a,1,1,2))]. 354 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(104(a,1),117(a,1,1,2))]. 355 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [para(14(a,1),119(a,1,2,1))]. 356 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(104(a,1),119(a,1,2,1))]. 357 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(82(a,1),119(a,1,2,1))]. 358 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(89(a,1),119(a,1,2,1))]. 359 L(x,y \ 1,y) / ((y \ 1) * x) = y. [hyper(74,a,153,a)]. 360 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(68,a,153,a)]. 361 L(x,y \ 1,y) != y * z | (y \ 1) * x = z. [para(153(a,1),19(a,1))]. 362 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [para(104(a,1),153(a,1,2)),flip(a)]. 363 x * K(x \ 1,x) = L(x,x \ 1,x). [para(152(a,2),153(a,1,2))]. 364 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(74,a,154,a)]. 365 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [para(154(a,1),32(a,2,2)),flip(a)]. 366 (x * (y \ 1)) * T(y,y \ 1) = R(x,y \ 1,(y \ 1) \ 1). [para(105(a,2),154(a,1,2))]. 367 R(R(x,y,z),y * z,(y * z) \ 1) = ((x * y) * z) * ((y * z) \ 1). [para(100(a,1),154(a,1,1)),flip(a)]. 368 R(x,1 / y,y) / y = x * (1 / y). [hyper(74,a,155,a)]. 369 (1 / x) \ L(y,x,1 / x) = x * y. [para(58(a,1),167(a,1,2))]. 370 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(171(a,1),40(a,2,1))]. 371 (x * y) / y != z * u | z \ x = u. [para(13(a,1),224(a,1,2))]. 372 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(249(a,1),40(a,2,1)),flip(a)]. 373 K(x,1 / x) \ x = L(x,1 / x,x). [para(184(a,2),254(a,2,1)),flip(a)]. 374 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(257(a,1),42(a,2,1)),flip(a)]. 375 R(x,x \ 1,(x \ 1) \ y) = ((x \ 1) \ y) / y. [para(57(a,1),257(a,1,1))]. 376 x / K(x \ 1,x) = R(x,x \ 1,x). [para(152(a,2),261(a,2,2)),flip(a)]. 377 L(x \ y,x,1 / x) = (1 / x) * y. [para(14(a,1),300(a,1,2)),flip(a)]. 378 L(x,y / x,1 / (y / x)) = (1 / (y / x)) * y. [para(16(a,1),300(a,1,2)),flip(a)]. 379 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(104(a,1),300(a,1,2)),flip(a)]. 380 ((x \ 1) * y) / L(x \ y,x,x \ 1) = K(x \ 1,x). [para(321(a,2),152(a,2)),flip(a)]. 381 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(323(a,1),40(a,2,1))]. 382 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(323(a,1),44(a,1,1)),flip(a)]. 383 R(x / y,y,T(z,x)) \ (z * x) = y * T(z,x). [para(104(a,1),345(a,1,2))]. 384 R(R(1 / x,x,y),x * y,z) \ (y * z) = (x * y) * z. [para(125(a,2),345(a,1,1,1))]. 385 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(346(a,1),42(a,2,1))]. 386 R(L(x / y,z,u),y,y \ 1) = L(x * (y \ 1),z,u). [para(346(a,1),44(a,2,1))]. 387 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(346(a,1),46(a,1,1)),flip(a)]. 388 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(347(a,1),42(a,2,1))]. 389 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [para(40(a,1),360(a,1,2))]. 390 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [para(45(a,1),360(a,1,2))]. 391 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [para(44(a,1),368(a,1,1))]. 392 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [para(46(a,1),368(a,1,1))]. 393 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [para(45(a,1),369(a,1,2))]. 394 K(x,1 / x) * L(x,1 / x,x) = x. [para(373(a,1),14(a,1,2))]. 395 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(377(a,1),40(a,2,1))]. 396 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(377(a,1),44(a,1,1)),flip(a)]. 397 L(L(x \ y,z,u),x,1 / x) = L((1 / x) * y,z,u). [para(377(a,1),45(a,1,1)),flip(a)]. 398 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(394(a,1),19(a,1)),flip(a)]. 400 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(145(a,1),24(a,2,1,2)),flip(a)]. 401 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(32(a,1),145(a,1,2,1))]. 402 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(42(a,2),145(a,1,2,1))]. 403 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(106(a,1),145(a,1,2,1)),flip(a)]. 404 L(T(x,y),z,u) * x = x * L(T(x,y),z,u). [para(113(a,1),145(a,1,2,1)),flip(a)]. 405 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(126(a,1),145(a,1,2,1)),flip(a)]. 406 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(105(a,1),145(a,1,2,1))]. 407 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [para(145(a,1),89(a,1)),flip(a)]. 408 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [para(145(a,1),167(a,1,2))]. 409 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(146(a,1),19(a,1))]. 410 ((x * y) * R(T(z,y),u,w)) / (R(z,u,w) * y) = R(x,y,R(T(z,y),u,w)). [para(146(a,1),30(a,2,2)),flip(a)]. 411 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(38(a,1),146(a,1,2,1))]. 412 x * R(R(T(y,x),z,u),w,v5) = R(R(y,z,u),w,v5) * x. [para(42(a,2),146(a,1,2,1))]. 413 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(106(a,1),146(a,1,2,1)),flip(a)]. 414 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(113(a,1),146(a,1,2,1)),flip(a)]. 415 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(126(a,1),146(a,1,2,1)),flip(a)]. 416 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(105(a,1),146(a,1,2,1))]. 417 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(151(a,1),146(a,1,2,1)),flip(a)]. 418 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(149(a,1),127(a,1,1,2))]. 419 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(150(a,1),127(a,1,1,2))]. 420 T(x / (y * x),y) = R(y \ 1,y,x). [para(125(a,1),150(a,1,1))]. 421 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(101(a,1),150(a,1,1))]. 422 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(179(a,1),150(a,1,1)),flip(a)]. 423 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(258(a,1),150(a,1,1)),flip(a)]. 424 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(346(a,1),150(a,1,1)),flip(a)]. 425 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(420(a,1),104(a,1,2)),flip(a)]. 426 ((x * y) * z) / R(T(x,y * z),y,z) = y * z. [para(100(a,1),160(a,1,1))]. 427 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(172(a,1),19(a,1))]. 428 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(180(a,1),20(a,1))]. 429 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(17,a,14,a(flip),b,193,a)]. 430 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(193(a,1),14(a,1))]. 431 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(193(a,2),26(a,2,1)),flip(a)]. 432 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [para(193(a,1),104(a,1))]. 433 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(18,a,16,a(flip),b,194,a)]. 434 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [para(194(a,2),16(a,1))]. 435 T(T(x,x \ y),z) = T((x \ y) \ y,z). [para(195(a,1),38(a,1)),flip(a)]. 436 (x \ y) * T(T((x \ y) \ y,z),u) = T(T(x,z),u) * (x \ y). [para(195(a,1),144(a,1,2,1))]. 437 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(68,a,220,a(flip)),flip(a)]. 438 (T(x,x \ y) / z) \ ((x \ y) \ y) = z. [para(220(a,2),166(a,1,2))]. 439 K(x \ (x * y),x) = K(y,x). [para(275(a,2),83(a,1)),flip(a)]. 440 K(x \ (x * y),z) = K(y,z). [para(50(a,1),439(a,1,1)),flip(a)]. 441 T(x / y,z) * y != y * u | T(y \ x,z) = u. [para(281(a,2),19(a,1))]. 442 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [para(105(a,1),283(a,1,1))]. 443 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(290(a,2),104(a,1,2))]. 444 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(106(a,1),290(a,1,1,2)),flip(a)]. 445 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(437(a,2),159(a,1,2,2))]. 446 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [hyper(120,a,78,a),flip(a)]. 447 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(14(a,1),78(a,1,1,2))]. 448 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(16(a,1),78(a,1,1,2))]. 449 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(104(a,1),78(a,1,1,2))]. 450 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(104(a,1),90(a,1,2,2)),flip(a)]. 451 T((x * y) / x,x * y) = L(y,x,(x * y) / x). [para(92(a,1),32(a,2))]. 452 L(x,y / x,z / y) = ((z / y) * (y / x)) \ z. [para(16(a,1),93(a,2,2))]. 453 x / L(y,z / y,x / z) = (x / z) * (z / y). [para(93(a,2),217(a,1,2))]. 454 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(98(a,2),173(a,1,1))]. 455 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(154(a,1),122(a,1,2))]. 456 x * a(x,y,y \ 1) = R(x,y,y \ 1). [para(455(a,1),14(a,1,2))]. 458 L(x,y,1 / y) \ x = a(1 / y,y,x). [para(300(a,1),124(a,1,1))]. 459 L(T(x,y),y,x) = T(x,x * y). [para(139(a,1),32(a,2)),flip(a)]. 460 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(100(a,1),139(a,1,2))]. 461 T(L(x,y,x),y) = T(x,x * y). [para(459(a,1),40(a,1)),flip(a)]. 462 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(459(a,1),40(a,2,1))]. 463 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(459(a,1),44(a,1,1)),flip(a)]. 464 x * T(y,y * x) = L(y,x,y) * x. [para(459(a,1),145(a,1,2))]. 465 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(459(a,2),146(a,1,2,1))]. 466 (x * T(y,y * x)) / x = L(y,x,y). [para(461(a,1),127(a,1,1,2))]. 467 x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. [para(461(a,1),145(a,1,2,1))]. 468 T((x * y) / x,y * x) = L(y,x,y). [hyper(18,a,283,a,b,464,a(flip)),flip(a)]. 469 T(x / y,(y \ x) * y) = L(y \ x,y,y \ x). [hyper(18,a,281,a,b,464,a(flip)),flip(a)]. 470 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(14(a,1),464(a,1,2,2)),flip(a)]. 472 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(104(a,1),464(a,1,2,2)),flip(a)]. 473 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(468(a,1),38(a,1,1)),flip(a)]. 474 (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(190(a,1),281(a,1,1,1)),flip(a)]. 475 R(x,y,z) * (y * z) = (x * y) * (y \ (y * z)). [para(13(a,1),221(a,1,1,3))]. 477 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [para(221(a,1),146(a,2))]. 478 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(245(a,2),14(a,1))]. 479 L(x \ 1,x,y) / ((y * x) \ y) = 1. [hyper(176,a,246,a)]. 480 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(250(a,2),89(a,1,2))]. 481 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [para(256(a,1),14(a,1))]. 482 R(1 / x,x,y) * z != u | (y / (x * y)) \ u = z. [para(256(a,2),68(a,1))]. 483 R(T(1 / x,x * y),x,y) = (x * y) \ y. [para(259(a,1),106(a,1))]. 484 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [para(274(a,1),369(a,1,2))]. 485 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(278(a,1),40(a,2,1))]. 486 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(304(a,1),19(a,1))]. 487 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(45(a,1),304(a,1,2))]. 488 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [para(45(a,1),305(a,1,2))]. 489 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [para(305(a,1),145(a,1))]. 490 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(316(a,1),40(a,2,1))]. 491 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(316(a,1),44(a,1,1)),flip(a)]. 492 L(x \ y,x,y / x) = T(y / x,y). [para(317(a,2),32(a,2)),flip(a)]. 493 T(((x / y) * z) \ x,u) = L(T(z \ y,u),z,x / y). [para(318(a,1),40(a,2,1)),flip(a)]. 494 (x * (y / z)) * z != u * y | R(x,y / z,z) = u. [para(328(a,1),20(a,1))]. 495 x * R(T(y,x),x / z,z) = (y * (x / z)) * z. [para(328(a,1),146(a,2))]. 496 R(T(x / (y / z),u),y / z,z) * y = ((y / z) * T((y / z) \ x,u)) * z. [para(281(a,1),328(a,2,1))]. 497 T(R(x / y,y,x \ z),u) * (y * (x \ z)) = (y * (x \ z)) * T((y * (x \ z)) \ z,u). [para(342(a,2),281(a,1,1,1))]. 498 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(343(a,1),42(a,2,1))]. 499 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(125(a,2),343(a,1,1,2))]. 500 R(x / (y / (z * y)),R(1 / z,z,y),z * y) = (x * (z * y)) / y. [para(125(a,2),343(a,1,2))]. 501 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(343(a,1),150(a,1,1)),flip(a)]. 502 T(x * (y / z),L(z,y / z,x)) = L(z,y / z,x) \ (x * y). [para(353(a,1),106(a,1,1))]. 503 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(16(a,1),355(a,1,2))]. 504 x * ((1 / x) * (y * x)) = L(y,x,1 / x) * x. [para(379(a,1),145(a,1,2))]. 505 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(13(a,1),421(a,2,1)),flip(a)]. 506 T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). [para(14(a,1),421(a,1,1,2))]. 507 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(422(a,1),221(a,1,1)),flip(a)]. 508 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(13(a,1),424(a,1,1)),flip(a)]. 509 ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). [para(424(a,1),154(a,2))]. 510 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(x,y / (x * y)). [para(425(a,1),26(a,2,1)),flip(a)]. 511 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. [hyper(68,a,478,a)]. 512 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(14(a,1),481(a,1,1,2))]. 513 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(505(a,2),104(a,1,2)),flip(a)]. 514 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(112(a,1),505(a,2,1)),flip(a)]. 515 R(x,y,x) * (y * x) = (y * x) * T(x,y). [para(505(a,2),283(a,1,1))]. 516 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [para(508(a,1),127(a,1,1,2))]. 517 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [para(511(a,2),32(a,2)),flip(a)]. 518 R(T(x,y * x),y,x) = T(x,y). [hyper(17,a,146,a,b,515,a(flip)),flip(a)]. 520 (x * y) * T(y,x) = (y * x) * y. [para(515(a,1),100(a,1))]. 521 R(T(x,y),y / x,x) = T(x,y / x). [para(16(a,1),518(a,1,1,2))]. 522 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(518(a,1),100(a,1,1)),flip(a)]. 523 T(x,1 / x) / x = x * (1 / x). [hyper(268,a,520,a)]. 524 (T(x,y) * (y * x)) \ ((x * y) * x) = K(y * x,T(x,y)). [para(520(a,1),26(a,2,2)),flip(a)]. 525 T(x,1 / x) / x = K(x,1 / x). [para(523(a,2),184(a,2)),flip(a)]. 526 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [para(108(a,2),42(a,2))]. 527 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(82(a,1),306(a,1,1)),flip(a)]. 530 T(x,L(T(x,y),z,u)) = x. [hyper(131,a,404,a)]. 531 T(x,L(x,y,z)) = x. [para(103(a,1),530(a,1,2,1))]. 532 T((x * y) / x,L(y,z,u)) = (x * y) / x. [para(126(a,1),530(a,1,2,1))]. 533 K(x,L(x,y,z)) = 1. [hyper(36,a,531,a)]. 534 T(T(x,y),L(x,z,u)) = T(x,y). [para(531(a,1),38(a,1,1)),flip(a)]. 535 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(248(a,1),531(a,1,2))]. 536 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(323(a,1),531(a,1,2))]. 537 T(x * y,(x \ 1) \ y) = x * y. [hyper(35,a,536,a)]. 538 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(74,a,405,a),flip(a)]. 539 R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w). [para(101(a,2),413(a,1,1,1))]. 540 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(413(a,1),154(a,1,1))]. 541 (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(190(a,1),413(a,1,1,1)),flip(a)]. 542 (x / y) * R((x / y) \ z,x / y,y) = ((z * y) / x) * (x / y). [para(343(a,1),413(a,1,1)),flip(a)]. 543 T(x,R(T(x,y),z,u)) = x. [hyper(131,a,414,a)]. 544 T(x,R(x,y,z)) = x. [para(103(a,1),543(a,1,2,1))]. 545 T(x / y,x * (y \ 1)) = x / y. [para(346(a,1),544(a,1,2))]. 546 T(x * (y \ 1),x / y) = x * (y \ 1). [hyper(35,a,545,a)]. 547 K(x * (y \ 1),x / y) = 1. [hyper(36,a,546,a)]. 548 T(x * ((y \ x) \ 1),y) = x * ((y \ x) \ 1). [para(57(a,1),546(a,1,2))]. 549 K(x * y,x / (1 / y)) = 1. [para(59(a,1),547(a,1,1,2))]. 550 K(x,(x / y) / (1 / y)) = 1. [para(16(a,1),549(a,1,1))]. 551 x * K(y,(y / z) / (1 / z)) = x. [para(550(a,2),12(a,1,2))]. 552 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(74,a,415,a),flip(a)]. 553 R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. [hyper(68,a,415,a)]. 554 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [para(415(a,1),178(a,1,1))]. 555 (((x * y) / x) * z) * (z \ x) = x * R(y,z,z \ x). [para(415(a,1),221(a,1)),flip(a)]. 556 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [para(123(a,1),418(a,1,1,2))]. 557 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(171(a,1),418(a,1,1,2)),flip(a)]. 558 ((x \ 1) * (x * y)) / (x \ 1) = L(y / (x \ 1),x \ 1,x). [para(323(a,1),418(a,1,1,2))]. 559 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(28(a,2),419(a,1,1,2,1))]. 560 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(59(a,1),419(a,1,1,2,1))]. 561 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(106(a,1),443(a,1,2,1,2)),flip(a)]. 562 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(444(a,1),127(a,1,1,2))]. 563 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(444(a,1),128(a,1,2,2))]. 564 L(x * T(x \ 1,y),1 / x,y) = (y * (1 / x)) \ ((1 / x) * y). [para(484(a,1),278(a,1,1))]. 565 (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). [para(185(a,2),509(a,1,1))]. 566 x \ (T(x,y) * (y * x)) = T(T(x,y * x) * y,x). [para(522(a,1),32(a,2,2)),flip(a)]. 567 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(106(a,1),526(a,1,1,1)),flip(a)]. 568 L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. [para(171(a,1),538(a,2,1,2))]. 569 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(249(a,1),538(a,2,1,2))]. 570 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(323(a,1),538(a,2,1,2))]. 571 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(377(a,1),538(a,2,1,2))]. 572 L((x * y) / x,z \ x,z) = (z * ((z \ x) * y)) / x. [para(304(a,1),538(a,2,1))]. 573 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(316(a,1),538(a,2,1,2))]. 574 T(x,y * ((x \ y) \ 1)) = x. [hyper(35,a,548,a)]. 575 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(125(a,1),552(a,2,1,2))]. 576 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(552(a,1),100(a,1,1))]. 577 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(179(a,1),552(a,2,1,2))]. 578 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(346(a,1),552(a,2,1,2))]. 579 (x * ((x \ 1) * y)) \ y = a(x,x \ 1,y). [para(11(a,1),79(a,1,2))]. 580 L(x,y \ 1,y) \ x = a(y,y \ 1,x). [para(153(a,1),579(a,1,1))]. 581 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(12(a,1),80(a,1,1))]. 582 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(155(a,1),581(a,1,2))]. 583 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [para(142(a,1),290(a,1)),flip(a)]. 584 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [para(147(a,2),42(a,2)),flip(a)]. 585 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(251(a,2),89(a,1,2))]. 586 R((x * y) \ x,y,y \ 1) = L(T(1 * (y \ 1),y),y,x). [para(424(a,1),251(a,2,1))]. 587 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(269(a,1),252(a,1,1)),flip(a)]. 588 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(252(a,1),89(a,1,2))]. 589 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [para(252(a,2),91(a,1))]. 590 (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). [para(587(a,1),300(a,2))]. 591 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(91(a,1),311(a,1,2,1))]. 592 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(171(a,1),311(a,1,2,1))]. 593 (x * y) * T(T((x * y) \ x,z),u) = x * (y * T(T(y \ 1,z),u)). [para(250(a,2),311(a,1,2,1))]. 594 (x * y) * T((y * T(x,y)) \ y,z) = y * (T(x,y) * T(T(x,y) \ 1,z)). [para(250(a,2),314(a,1,2))]. 595 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(104(a,1),320(a,1,1,1)),flip(a)]. 596 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(322(a,1),44(a,1,1)),flip(a)]. 597 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(322(a,1),45(a,1,1)),flip(a)]. 598 (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). [para(179(a,1),334(a,1,1,1)),flip(a)]. 599 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [para(344(a,1),106(a,1))]. 600 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(104(a,1),356(a,1,2))]. 601 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(372(a,2),305(a,1,2)),flip(a)]. 602 R(T(1 / x,y),x,x \ y) = y \ (x \ y). [para(374(a,1),106(a,1))]. 603 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(374(a,2),221(a,1,1))]. 604 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(381(a,1),360(a,1,2)),flip(a)]. 605 R(T(x,y),x \ z,(x \ z) \ 1) = T(z * ((x \ z) \ 1),y). [para(57(a,1),385(a,1,1,1))]. 606 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [para(385(a,1),364(a,1,1))]. 607 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [para(395(a,1),369(a,1,2))]. 608 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(250(a,1),395(a,1,1))]. 609 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [para(395(a,1),379(a,1)),flip(a)]. 610 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(123(a,1),407(a,2,1)),flip(a)]. 611 (x * y) * (y \ z) != z * u | R(T(x,z),y,y \ z) = u. [para(221(a,1),409(a,1))]. 612 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(446(a,1),327(a,1,1))]. 613 ((1 / x) * (x / y)) * y = a(1 / x,x / y,y). [hyper(120,a,448,a),flip(a)]. 614 L(x,y,(y * x) / y) * y = y * T(x,y * x). [para(451(a,1),283(a,1,1))]. 615 T(1 / x,K(x \ 1,x)) = L(x \ 1,x,x \ 1). [para(152(a,2),469(a,1,2))]. 618 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [para(473(a,2),40(a,2)),flip(a)]. 619 (x * y) * (y \ (y * z)) != u * (y * z) | R(x,y,z) = u. [para(475(a,1),20(a,1))]. 620 x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). [hyper(68,a,477,a)]. 621 x * R(L(T(y,x),z,u),w,w \ x) = (L(y,z,u) * w) * (w \ x). [para(40(a,2),477(a,1,2,1))]. 622 (x / y) \ (L(z,y,x / y) * x) = y * T(z,x). [hyper(68,a,489,a)]. 623 ((x * (y \ z)) / z) * y = y * R(y \ x,y,y \ z). [para(506(a,1),104(a,1,2)),flip(a)]. 624 R(x,1 / x,x) = T(x,1 / x). [para(58(a,1),514(a,1,1)),flip(a)]. 625 R(T(x,y),1 / x,x) = T(T(x,1 / x),y). [para(624(a,1),42(a,2,1))]. 626 T(T(x,1 / x),y) / x = T(x,y) * (1 / x). [para(625(a,1),368(a,1,1))]. 627 T(x,y) \ T(T(x,1 / x),y) = a(T(x,y),1 / x,x). [para(625(a,1),582(a,1,2))]. 628 L((x \ (y * x)) / y,y,x) = (y * K(y,x)) / y. [para(26(a,2),557(a,2,1,2))]. 629 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(137(a,1),557(a,2,1,2))]. 630 R(T(x,T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). [para(104(a,1),584(a,1,2,1)),flip(a)]. 631 R(T(x,y * L(z,y,x)),y,L(z,y,x)) = (y * L(z,y,x)) \ (x * (y * z)). [para(89(a,1),584(a,1,2)),flip(a)]. 632 x * T(y,x * y) != z * x | L(y,x,(x * y) / x) = z. [para(614(a,1),20(a,1))]. 633 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [para(16(a,1),620(a,1,2,1)),flip(a)]. 634 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(32(a,2),628(a,1,1,1))]. 635 T(x,((x \ y) \ y) \ z) * (x \ y) = (x \ y) * ((((x \ y) \ y) \ z) \ z). [para(105(a,1),284(a,1,2)),flip(a)]. 636 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [para(105(a,1),294(a,1,1,2))]. 637 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(101(a,2),561(a,1,1,1,2))]. 638 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [para(561(a,1),364(a,2))]. 639 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(13(a,1),562(a,1,1,2,1,2))]. 640 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(59(a,1),563(a,1,2,2,1,2))]. 641 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(101(a,1),567(a,1,1,1))]. 642 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(12(a,1),604(a,2,2,1))]. 643 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(14(a,1),604(a,2,2,1))]. 644 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [para(604(a,1),104(a,1))]. 645 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [para(604(a,1),279(a,1))]. 646 T(x,y) * (x \ 1) = x \ T(x,y). [para(642(a,1),284(a,1)),flip(a)]. 647 ((x \ 1) * T(x,y)) \ (x \ T(x,y)) = K(T(x,y),x \ 1). [para(646(a,1),26(a,2,2)),flip(a)]. 648 T(x,y) * R(T(x,y) \ 1,T(x,y),x \ 1) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(646(a,1),425(a,1,1,2)),flip(a)]. 649 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(646(a,1),138(a,1,2,2))]. 650 T(x \ 1,y) / (x \ 1) = T(1 / x,y) * x. [para(11(a,1),606(a,1,1,1))]. 651 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [para(606(a,2),281(a,1))]. 652 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [para(650(a,2),281(a,1))]. 653 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(14(a,1),607(a,1,2,1)),flip(a)]. 654 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(643(a,1),104(a,1)),flip(a)]. 655 (x \ T(y,x \ 1)) / (x \ 1) = (x \ 1) \ (x \ y). [para(643(a,1),127(a,1,1))]. 656 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [para(643(a,1),286(a,1,1))]. 657 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(16(a,1),644(a,1,2,1))]. 658 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(651(a,1),16(a,1,1))]. 659 x * T(x \ (y / (x \ 1)),z) = T(y,z) / (x \ 1). [para(16(a,1),651(a,1,1,1)),flip(a)]. 660 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [para(651(a,2),604(a,1))]. 661 (x \ ((1 / x) \ y)) * x = (1 / x) \ T(y,x). [para(653(a,1),104(a,1)),flip(a)]. 662 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(653(a,1),276(a,1,2))]. 663 (1 / x) \ T((y \ (1 / x)) * y,x) = (x \ K(y \ (1 / x),y)) * x. [para(83(a,1),661(a,1,1,2)),flip(a)]. 664 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = (x \ 1) \ (x \ R(y,z,u)). [para(42(a,2),655(a,1,1,2))]. 665 T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1). [para(13(a,1),658(a,1,1,2,1)),flip(a)]. 666 (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1). [para(659(a,1),104(a,1)),flip(a)]. 667 T((x * y) * (x \ 1),y) = (x * y) * (x \ 1). [para(103(a,1),665(a,2,1,2))]. 668 T(((1 / x) * y) * ((1 / x) \ 1),z) = ((1 / x) * T(y,z)) * x. [para(59(a,1),665(a,2,2))]. 669 K((x * y) * (x \ 1),y) = 1. [hyper(36,a,667,a)]. 670 K(((1 / x) * y) * x,y) = 1. [para(59(a,1),669(a,1,1,2))]. 671 K(x * y,(1 / y) \ x) = 1. [para(14(a,1),670(a,1,1,1))]. 672 T(x * y,(1 / y) \ x) = x * y. [hyper(37,a,671,a)]. 673 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(91(a,1),312(a,1,2,1))]. 674 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(171(a,1),312(a,1,2,1))]. 675 K(x \ 1,x) * L(L(y,x,x \ 1),z,u) = (x \ 1) * (x * L(y,z,u)). [para(152(a,2),313(a,1,1))]. 676 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(171(a,1),313(a,1,2,1))]. 677 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(459(a,1),313(a,1,2,1))]. 678 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [para(14(a,1),315(a,2,2))]. 679 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(101(a,1),335(a,1,1,1))]. 680 x \ ((L(y,z,x) * x) * z) = z * T(R(y,x,z),x * z). [para(335(a,1),408(a,1,2))]. 681 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(646(a,1),357(a,1,1,1))]. 682 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(382(a,1),360(a,1,2)),flip(a)]. 683 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(386(a,1),364(a,1,1))]. 684 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(323(a,1),390(a,1,2,1)),flip(a)]. 685 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(624(a,1),391(a,1,1,1))]. 686 R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. [para(347(a,1),392(a,1,1,1)),flip(a)]. 687 (1 / x) \ L(L(y,x,1 / x),z,u) != x * w | L(y,z,u) = w. [para(393(a,2),19(a,1))]. 688 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(269(a,1),393(a,1,2,1))]. 689 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(377(a,1),393(a,1,2,1))]. 690 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [para(396(a,1),300(a,2))]. 691 (1 / x) * (x * L(x \ y,z,u)) = L((1 / x) * y,z,u). [para(397(a,1),300(a,2))]. 692 L(T(T((x \ y) \ z,u),w),x \ y,x) = T(T(y \ (x * z),u),w). [para(490(a,1),40(a,2,1))]. 693 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(490(a,1),304(a,1,2)),flip(a)]. 694 x \ (y * (((y \ x) \ z) * (y \ x))) = T(x \ (y * z),y \ x). [para(490(a,1),450(a,1)),flip(a)]. 695 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(74,a,555,a)]. 696 (x \ y) \ (y * R(z,x,x \ y)) = T(((y * z) / y) * x,x \ y). [para(555(a,1),32(a,2,2)),flip(a)]. 697 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(575(a,1),100(a,1,1))]. 698 ((x / y) * (y / ((x / y) * y))) / (x / y) = (((x / y) * (1 / (x / y))) * y) / x. [para(575(a,1),343(a,1))]. 699 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(106(a,1),641(a,1,1)),flip(a)]. 700 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(678(a,1),19(a,1)),flip(a)]. 701 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(257(a,1),695(a,1,1,2))]. 702 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(11(a,1),699(a,2,1,2))]. 703 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(13(a,1),699(a,1,1,1)),flip(a)]. 704 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(463(a,1),402(a,1,2))]. 705 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(518(a,1),412(a,1,2,1)),flip(a)]. 706 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(17,a,146,a,b,416,a),flip(a)]. 707 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(11(a,1),586(a,2,1,1))]. 708 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(707(a,1),396(a,1,1))]. 709 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(68,a,601,a)]. 710 (x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y). [para(104(a,1),601(a,1,2))]. 711 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(152(a,2),710(a,1,2))]. 712 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [para(603(a,1),281(a,1))]. 713 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(296,a,610,a)]. 714 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [para(713(a,2),286(a,1,1))]. 715 x \ ((L(y,z,x) * x) * z) = z * R(T(y,x * z),x,z). [para(42(a,2),680(a,2,2))]. 716 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(12(a,1),682(a,2,2,1))]. 717 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(32(a,2),682(a,1,2,1)),flip(a)]. 718 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [para(716(a,1),416(a,1)),flip(a)]. 719 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(74,a,718,a)]. 720 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(68,a,718,a)]. 721 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(718(a,1),82(a,1,1))]. 722 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [para(718(a,1),160(a,1,1))]. 723 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(718(a,1),425(a,1,1,2)),flip(a)]. 724 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(718(a,1),444(a,2,1))]. 725 T(x,x \ y) \ R((x \ y) \ y,z,u) = R(T(x,x \ y),z,u) * (T(x,x \ y) \ 1). [para(706(a,1),718(a,2,2)),flip(a)]. 726 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [para(683(a,2),403(a,1))]. 727 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(12(a,1),684(a,2,2,1))]. 728 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(171(a,1),684(a,1,2)),flip(a)]. 729 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [para(727(a,1),406(a,1)),flip(a)]. 730 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(729(a,1),425(a,1,1,2)),flip(a)]. 731 (1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x. [para(686(a,1),413(a,1)),flip(a)]. 732 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(12(a,1),690(a,2,1))]. 733 (1 / x) * (((y * (x \ z)) / z) * x) = R((1 / x) * y,x,x \ z). [para(623(a,2),690(a,1,2))]. 734 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(68,a,732,a)]. 735 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(17,a,456,a,b,732,a)]. 736 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(425(a,2),732(a,1,2))]. 737 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [para(736(a,2),125(a,1))]. 738 (x / (y * x)) / ((x / (y * x)) * y) = 1 / y. [hyper(74,a,737,a)]. 739 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [para(737(a,1),32(a,2,2)),flip(a)]. 740 ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. [para(14(a,1),738(a,1,1,2))]. 741 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [para(258(a,1),734(a,1,2)),flip(a)]. 742 a(1 / x,y,y \ 1) / R(x \ 1,y,y \ 1) = z / (x \ z). [para(735(a,1),198(a,1,1))]. 743 L((1 / x) * (y * x),z,u) = (1 / x) * (L(y,z,u) * x). [para(401(a,1),691(a,1,2)),flip(a)]. 744 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [para(701(a,2),561(a,1))]. 745 K(x \ (x / y),x) = y * T(y \ 1,x). [para(709(a,1),276(a,1)),flip(a)]. 746 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(68,a,745,a(flip))]. 747 K(x \ (x / y),x) / y = T(1 / y,x). [para(745(a,2),286(a,1,1))]. 748 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [para(745(a,2),642(a,1))]. 749 (x \ y) \ K(y \ x,y) = T((x \ y) \ 1,y). [para(57(a,1),746(a,1,2,1,2))]. 750 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(106(a,1),748(a,2,2))]. 751 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(126(a,1),748(a,2,2))]. 752 L(K(x \ (x / (y \ 1)),x),y,x) = (x * y) \ (y * x). [para(748(a,2),278(a,1,1))]. 753 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [para(13(a,1),749(a,1,2,1)),flip(a)]. 754 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(720(a,1),750(a,2,2))]. 755 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [para(753(a,2),14(a,1,2)),flip(a)]. 756 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(123(a,2),753(a,1,1,1))]. 757 T(((x * y) \ x) \ 1,x) = L(y \ 1,y,x) \ K(y,x). [para(123(a,2),753(a,2,1))]. 758 L(K(x \ (x / (y \ 1)),x),y,x) = K(y,x). [para(752(a,2),26(a,2)),flip(a)]. 759 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(756(a,2),478(a,1,2)),flip(a)]. 760 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x). [para(756(a,1),652(a,1,1))]. 761 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [para(106(a,1),712(a,1,1,1))]. 762 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(281(a,1),712(a,1,1))]. 763 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(152(a,2),761(a,1,1))]. 764 x \ (y \ ((L(z,x,y) * y) * x)) = R(T(z,y * x),y,x). [hyper(68,a,715,a(flip))]. 765 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [para(11(a,1),726(a,1,1,1))]. 766 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(59(a,1),726(a,1,1,1,2))]. 767 (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). [para(765(a,1),16(a,1,1))]. 768 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(123(a,1),767(a,1,1,2))]. 769 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(768(a,1),26(a,2,1)),flip(a)]. 770 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [para(768(a,2),123(a,1))]. 771 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(770(a,1),187(a,1,1))]. 772 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [para(11(a,1),731(a,2,1,1))]. 773 (1 / x) * R(x,y,z) = R(x,y,z) / x. [para(59(a,1),772(a,1,2,1))]. 774 (R(x,y,z) / x) / R(x,y,z) = 1 / x. [hyper(74,a,773,a)]. 775 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [para(773(a,1),32(a,2,2)),flip(a)]. 776 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [para(57(a,1),773(a,1,1)),flip(a)]. 777 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(773(a,1),131(a,2)),flip(a)]. 778 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(773(a,1),91(a,2,1))]. 779 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(776(a,1),748(a,1,1,2))]. 780 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(775(a,1),503(a,1,1,2))]. 781 ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. [para(14(a,1),740(a,1,2,1,2))]. 782 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [para(781(a,1),59(a,1,1))]. 783 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(751(a,2),105(a,1,2))]. 784 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(294(a,1),751(a,1,1,2,2,1))]. 785 (x * T(x \ (y \ x),z)) / (y \ x) = y * T(y \ 1,z). [hyper(74,a,762,a)]. 786 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(642(a,1),762(a,1,1))]. 787 ((x \ 1) * L((x \ 1) \ y,z,u)) * T(x,x \ 1) = R(L(y / (x \ 1),z,u),x \ 1,(x \ 1) \ 1). [para(403(a,1),366(a,1,1))]. 788 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [para(465(a,1),312(a,1)),flip(a)]. 789 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(146(a,1),788(a,1,2)),flip(a)]. 790 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(427,a,789,a)]. 791 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(17,a,172,a,b,789,a),flip(a)]. 792 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(17,a,169,a,b,789,a)]. 793 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [para(14(a,1),789(a,1,2)),flip(a)]. 794 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(104(a,1),789(a,1,2)),flip(a)]. 795 (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). [para(789(a,1),139(a,1,2))]. 796 x \ (R(x,y,z) \ x) = R(x,y,z) \ 1. [hyper(68,a,792,a)]. 797 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(792(a,1),300(a,1,2)),flip(a)]. 798 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(792(a,1),645(a,1,2,1,2))]. 799 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [para(790(a,1),57(a,1,2))]. 800 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(100(a,1),790(a,1,2)),flip(a)]. 801 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(74,a,800,a),flip(a)]. 802 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [para(800(a,2),32(a,2)),flip(a)]. 803 R(x,y,x) * T(y,x) = T(x * y,x). [para(32(a,2),802(a,1,2))]. 804 T(x * y,x) / T(y,x) = R(x,y,x). [hyper(74,a,803,a)]. 805 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(68,a,803,a)]. 806 (x \ ((x * y) * (y \ z))) / (x \ z) = R(x,y,y \ z). [para(14(a,1),801(a,2,2,2)),flip(a)]. 807 (x \ ((x * y) * T(z,y))) / (x \ (z * y)) = R(x,y,y \ (z * y)). [para(32(a,2),806(a,1,1,2,2))]. 808 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(316(a,1),487(a,1,2,1)),flip(a)]. 809 (x / y) * (y * L(y \ 1,z,u)) = x * L(x \ (x / y),z,u). [para(249(a,1),488(a,1,2,1)),flip(a)]. 810 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(317(a,1),488(a,1,2,1)),flip(a)]. 811 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(491(a,1),304(a,1,2)),flip(a)]. 812 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(568(a,1),89(a,1,2))]. 813 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(569(a,1),305(a,1,2)),flip(a)]. 814 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [para(570(a,1),360(a,1,2)),flip(a)]. 815 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [para(571(a,1),369(a,1,2))]. 816 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [para(705(a,1),336(a,1))]. 817 (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). [para(100(a,1),308(a,1,2))]. 818 ((x * y) * (z * u)) / ((y * z) * L(u,z,x * y)) = R(R(x,y,z),y * z,L(u,z,x * y)). [para(89(a,1),332(a,1,1))]. 819 R(x * y,z,K(y * z,R(x,y,z))) \ ((y * z) * R(x,y,z)) = z * K(y * z,R(x,y,z)). [para(338(a,1),119(a,1,2))]. 820 x * L(T(T((y \ x) \ x,z),u),y \ x,y) = y * (T(T(y,z),u) * (y \ x)). [para(436(a,1),304(a,2,2))]. 821 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(442(a,2),19(a,1))]. 822 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(127(a,1),640(a,1,2,2))]. 823 T(((1 / x) * y) * x,z) = ((1 / x) * T(y,z)) * x. [para(59(a,1),668(a,1,1,2))]. 824 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(74,a,823,a(flip))]. 825 T(((1 / x) * y) * x,z) != u * x | (1 / x) * T(y,z) = u. [para(823(a,2),20(a,1))]. 826 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [para(14(a,1),824(a,1,1,1,1)),flip(a)]. 827 (1 / x) * T(x,y) = T(x,y) / x. [para(58(a,1),824(a,1,1,1)),flip(a)]. 828 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(68,a,827,a)]. 829 (T(x,y) / x) \ (T(x,y) * (1 / x)) = K(T(x,y),1 / x). [para(827(a,1),26(a,2,1)),flip(a)]. 830 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [para(827(a,1),32(a,2,2)),flip(a)]. 831 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [para(105(a,1),827(a,1,2)),flip(a)]. 832 L(T(x,y) \ z,T(x,y),1 / x) = (T(x,y) / x) \ ((1 / x) * z). [para(827(a,1),91(a,2,1))]. 833 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(827(a,1),468(a,1,2))]. 834 (T(x,y) / x) / (1 / x) = T(1 / (1 / x),y). [para(827(a,1),294(a,1,1))]. 835 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(827(a,1),223(a,1,2,2))]. 836 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [para(830(a,1),249(a,2))]. 837 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(830(a,1),745(a,1,1))]. 838 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(105(a,1),831(a,1,1)),flip(a)]. 839 ((x \ y) / (y / x)) / (1 / (y / x)) = T(1 / (1 / (y / x)),x). [para(106(a,1),834(a,1,1,1))]. 840 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(11(a,1),826(a,2,1,1))]. 841 (T(x * y,z) / y) / (1 / y) = T(x / (1 / y),z). [para(826(a,1),286(a,1,1))]. 842 K(x \ (x / (1 / y)),x) = T(y,x) / y. [para(840(a,1),745(a,2))]. 843 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(842(a,2),16(a,1,1)),flip(a)]. 844 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(420(a,1),842(a,2,1))]. 845 (T(x,y) / z) / (1 / z) = T((x / z) / (1 / z),y). [para(16(a,1),841(a,1,1,1,1))]. 846 (T(x,1 / y) / y) / (1 / y) = (1 / y) \ (x / y). [para(845(a,2),106(a,1))]. 847 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(846(a,1),16(a,1,1))]. 848 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(847(a,1),84(a,1,1)),flip(a)]. 849 (x * (T(y,z) / y)) \ (x * (T(y,z) * (1 / y))) = L(K(T(y,z),1 / y),T(y,z) / y,x). [para(829(a,1),91(a,1,1)),flip(a)]. 850 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [para(677(a,1),145(a,1))]. 851 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(145(a,1),850(a,1,2)),flip(a)]. 852 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(427,a,851,a)]. 853 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(17,a,172,a,b,851,a),flip(a)]. 854 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(17,a,169,a,b,851,a)]. 855 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [para(14(a,1),851(a,1,2)),flip(a)]. 856 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [para(851(a,1),26(a,2,2)),flip(a)]. 857 (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). [para(851(a,1),139(a,1,2))]. 858 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(68,a,854,a)]. 859 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(854(a,1),26(a,2,1)),flip(a)]. 860 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(854(a,1),300(a,1,2)),flip(a)]. 861 L(x,y,z) \ T(L(x,y,z) * (L(x,y,z) \ x),u) = T(x,u) * (L(x,y,z) \ 1). [para(854(a,1),645(a,1,2,1,2))]. 862 L(x,y \ 1,y) \ 1 = x \ a(y,y \ 1,x). [para(580(a,1),858(a,1,2)),flip(a)]. 863 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [para(14(a,1),852(a,1,2)),flip(a)]. 865 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(68,a,863,a)]. 866 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(68,a,693,a)]. 867 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(12(a,1),693(a,2,2,1,2))]. 868 x * T(x \ (y * x),z) = y * (T(y,z) * (y \ x)). [para(284(a,1),693(a,1,2)),flip(a)]. 869 x * (T(x,y) * (x \ z)) = T(x,y) * z. [para(868(a,1),279(a,1))]. 870 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(74,a,869,a)]. 871 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(68,a,869,a)]. 872 T(x,y) * (x * z) = x * (T(x,y) * z). [para(13(a,1),869(a,1,2,2)),flip(a)]. 873 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(869(a,1),19(a,1))]. 874 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(32(a,2),869(a,1,2,2))]. 875 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(59(a,1),869(a,1,2,2))]. 876 T(x,y) * K(x,1 / x) = x * (T(x,y) * (1 / x)). [para(222(a,1),869(a,1,2,2)),flip(a)]. 877 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [para(870(a,1),173(a,1,1)),flip(a)]. 878 x \ (T(x,x \ y) * z) = ((x \ y) \ y) * (x \ z). [para(105(a,1),871(a,2,1))]. 879 x \ (T(x,y) * T(x,z)) = T(x,z) * (x \ T(x,y)). [para(282(a,1),871(a,1,2))]. 880 T(T(x,y * x) * y,x) = T(x,y) * (x \ (y * x)). [para(871(a,1),566(a,1)),flip(a)]. 881 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(871(a,1),629(a,1,1,1))]. 882 T(x,y) \ (x * (T(x,y) * z)) = x * z. [hyper(68,a,872,a)]. 883 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(17,a,172,a,b,872,a),flip(a)]. 884 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(17,a,169,a,b,872,a)]. 885 T(x,y) * (x * (T(x,y) \ z)) = x * z. [para(14(a,1),872(a,2,2))]. 887 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(106(a,1),872(a,1,1)),flip(a)]. 888 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [para(144(a,2),872(a,2,2)),flip(a)]. 889 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(74,a,884,a)]. 890 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(68,a,884,a)]. 891 T(x,y) \ x != x * z | T(x,y) \ 1 = z. [para(884(a,1),19(a,1))]. 892 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [para(884(a,1),118(a,1,1))]. 893 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(884(a,1),300(a,1,2)),flip(a)]. 894 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(889(a,1),656(a,2,1))]. 895 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(68,a,877,a)]. 896 T(x,y) \ K(x,1 / x) = x * (T(x,y) \ (1 / x)). [para(184(a,2),883(a,1,2))]. 897 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [para(883(a,1),85(a,1))]. 898 x * (T(x,y) \ y) = T(y,T(x,y)). [para(883(a,1),143(a,1))]. 899 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [para(883(a,1),90(a,1))]. 900 x \ T(y,T(x,y)) = T(x,y) \ y. [hyper(68,a,898,a)]. 901 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(106(a,1),898(a,1,2,1))]. 902 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [para(885(a,1),32(a,2,2))]. 903 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(17,a,304,a,b,874,a)]. 906 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(894(a,1),16(a,1,1))]. 907 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(106(a,1),901(a,2,2))]. 908 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(13(a,1),907(a,1,2,1))]. 909 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(106(a,1),906(a,1,1)),flip(a)]. 910 T(x,y) = ((x * y) / x) * (y \ x). [para(13(a,1),908(a,2,2)),flip(a)]. 911 T(x,y) / (y \ x) = (x * y) / x. [hyper(74,a,910,a(flip))]. 912 ((x * y) / x) \ T(x,y) = y \ x. [hyper(68,a,910,a(flip))]. 913 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(16(a,1),910(a,2,1,1)),flip(a)]. 914 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [para(910(a,2),32(a,2,2))]. 915 ((x * (x / y)) / x) * y = T(x,x / y). [para(59(a,1),910(a,2,2)),flip(a)]. 916 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(273(a,1),910(a,2,2)),flip(a)]. 917 R(x \ ((y * z) / y),x,z \ y) = T(T(y,z) / (x * (z \ y)),x). [para(910(a,2),421(a,1,1,1)),flip(a)]. 918 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(13(a,1),911(a,1,2)),flip(a)]. 919 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(911(a,1),746(a,1,2,1,2))]. 920 x * ((y * (x \ y)) / y) = T(y,y / x). [para(915(a,1),561(a,1)),flip(a)]. 921 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(68,a,920,a)]. 922 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(59(a,1),920(a,1,2,1,2))]. 923 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(557(a,2),920(a,1,2))]. 924 (x / y) \ T(x,x / (x / y)) = (x * y) / x. [para(59(a,1),921(a,2,1,2))]. 925 T(x \ T(y,y / x),y) = x \ y. [para(921(a,2),126(a,1,1))]. 926 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(57(a,1),925(a,1,1,2,2))]. 927 T((x \ y) \ T(y,x),y) = T(x,x \ y). [para(926(a,2),105(a,2)),flip(a)]. 928 (x / (x / y)) * (y \ (x / y)) = y \ x. [para(913(a,2),106(a,1))]. 929 (x \ y) / (x \ (y / x)) = y / (y / x). [hyper(74,a,928,a)]. 930 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [para(13(a,1),929(a,1,1)),flip(a)]. 931 T((x \ y) \ T(y,x),x * y) = L(T(x,x \ y),y,x). [para(914(a,1),618(a,1,1))]. 932 T(T(x * y,x) / y,x * y) = x. [para(918(a,1),126(a,1,1))]. 933 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(918(a,1),583(a,1,1))]. 934 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(154(a,1),932(a,1,1,1,1))]. 935 x \ T(y * x,y) = R(y,x,T(y,x)). [para(933(a,1),106(a,1)),flip(a)]. 936 L(R(x,y,T(x,y)),y,x) = x. [para(935(a,1),301(a,1,1))]. 937 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(127(a,1),922(a,1,2)),flip(a)]. 938 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(281(a,1),875(a,1,2))]. 939 x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z). [para(105(a,1),878(a,1,2,1))]. 940 T(x,y) * (x \ T(x,z)) = T(x,z) * (x \ T(x,y)). [para(879(a,1),871(a,1))]. 941 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [para(32(a,2),880(a,2,2))]. 942 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(830(a,1),897(a,1,2))]. 943 x \ K(x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(68,a,942,a)]. 945 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(938(a,2),19(a,2))]. 946 x \ T(y,y / (x * y)) = y * ((x \ y) / y). [para(923(a,1),167(a,1,2))]. 947 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(68,a,867,a),flip(a)]. 948 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(745(a,2),867(a,1,2)),flip(a)]. 949 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(68,a,948,a(flip)),flip(a)]. 950 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(13(a,1),948(a,1,2,1)),flip(a)]. 951 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(26(a,2),948(a,2,2,1,2,2))]. 952 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(28(a,2),948(a,2,2,1,2,2))]. 953 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(55(a,1),948(a,2,2,1,2))]. 954 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [para(948(a,1),826(a,1)),flip(a)]. 955 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(15(a,1),949(a,1,1,2))]. 956 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(32(a,2),949(a,1,1,2,2))]. 957 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(59(a,1),949(a,2,2,2,1))]. 958 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(106(a,1),887(a,1,2,1))]. 959 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(126(a,1),887(a,1,2,1)),flip(a)]. 960 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(151(a,1),887(a,1,2,1)),flip(a)]. 961 (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). [hyper(427,a,958,a)]. 962 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(295,a,958,a),flip(a)]. 963 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(17,a,169,a,b,958,a)]. 964 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [para(962(a,1),838(a,1)),flip(a)]. 965 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(963(a,1),19(a,1))]. 966 (x / y) * ((y \ x) \ ((x / y) \ z)) = (y \ x) \ z. [para(14(a,1),961(a,1,2)),flip(a)]. 967 (x * y) * K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)) = x * T(y,L(y \ 1,y,x)). [para(479(a,1),950(a,1,2,1,2))]. 968 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(16(a,1),954(a,1,1,1)),flip(a)]. 969 (x * y) * L(T(T(x,y) \ x,x),T(x,y),y) = y * L(x,T(x,y) \ x,T(x,y)). [para(903(a,1),314(a,2,2))]. 970 (x * (y * z)) \ ((x * y) * ((((x * y) \ (x * (y * z))) \ z) * ((x * y) \ (x * (y * z))))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(24(a,2),694(a,2,1))]. 971 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [para(12(a,1),814(a,2,2,1,2))]. 972 (x \ ((y * (x * z)) / y)) / (x \ 1) = (y * (z / (x \ 1))) / y. [para(814(a,1),562(a,1,1))]. 973 x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). [para(814(a,1),920(a,1))]. 974 (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). [para(12(a,1),815(a,1,2,1,2))]. 975 (((x * y) \ y) / (y / (x * y))) / (1 / (y / (x * y))) = T(1 / (1 / R(1 / x,x,y)),x * y). [para(125(a,2),839(a,2,1,2,2))]. 976 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [para(104(a,1),866(a,1,2)),flip(a)]. 977 (x \ y) * T((x \ y) \ T(y,x),z) = x \ (y * T(x,z)). [para(128(a,1),866(a,1,2,2,1)),flip(a)]. 978 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * T(R(T(x,z),y,y \ z),u)). [para(620(a,1),866(a,1,2,2,1)),flip(a)]. 979 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(106(a,1),909(a,1,2)),flip(a)]. 980 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(57(a,1),979(a,1,2,1,1)),flip(a)]. 981 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(13(a,1),959(a,1,1)),flip(a)]. 982 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(427,a,981,a)]. 983 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(295,a,981,a),flip(a)]. 984 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(17,a,172,a,b,981,a),flip(a)]. 985 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(17,a,169,a,b,981,a)]. 986 (x \ ((y * x) / y)) / (x \ 1) = (y * x) / y. [hyper(74,a,983,a)]. 987 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(294(a,1),985(a,1,2,1)),flip(a)]. 988 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(982(a,1),90(a,1))]. 989 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [para(59(a,1),960(a,1,1)),flip(a)]. 990 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [hyper(295,a,989,a),flip(a)]. 991 (x / (x / y)) \ (y * z) = y * ((x / (x / y)) \ z). [hyper(17,a,172,a,b,989,a),flip(a)]. 992 (x * ((y / (y / x)) * z)) \ ((x * z) * (y / (y / x))) = K(x * z,y / (y / x)). [para(989(a,1),26(a,2,1)),flip(a)]. 993 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(407(a,1),136(a,1,1))]. 994 (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). [para(14(a,1),993(a,1,1,2))]. 995 (x * R(x \ y,z,u)) * (x \ 1) = R(y * (x \ 1),z,u). [para(540(a,2),387(a,1))]. 996 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(74,a,995,a)]. 997 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(16(a,1),996(a,1,1,1)),flip(a)]. 998 L(x * T(x \ 1,y),1 / x,y) = K(1 / x,y). [para(564(a,2),26(a,2)),flip(a)]. 999 L((1 / x) * T(x,y),1 / (1 / x),y) = K(1 / (1 / x),y). [para(59(a,1),998(a,1,1,2,1))]. 1000 L(T(x,y) / x,1 / (1 / x),y) = K(1 / (1 / x),y). [para(840(a,1),998(a,1,1))]. 1001 x * L(x \ T(x,y),1 / (1 / x),y) = K(1 / (1 / x),y) * x. [para(1000(a,1),403(a,1,1)),flip(a)]. 1002 x * L(x \ T(x,y),1 / (1 / x),y) = (1 / x) \ K(1 / (1 / x),y). [para(999(a,1),689(a,1,2)),flip(a)]. 1003 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(573(a,1),304(a,1,2)),flip(a)]. 1004 x * L(R(T(y,x),z,z \ x),u,w) = (L(y,u,w) * z) * (z \ x). [para(44(a,1),621(a,1,2))]. 1005 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((T(y,x) / y) * x). [para(910(a,2),733(a,1,2,1,1)),flip(a)]. 1006 (1 / (x / y)) \ (y / x) = ((1 * y) / x) * (x / y). [para(741(a,1),542(a,1))]. 1007 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [para(11(a,1),1006(a,2,1,1))]. 1008 (1 / (x / y)) * ((y / x) * (x / y)) = y / x. [para(1007(a,1),14(a,1,2))]. 1009 (1 / ((x \ y) / y)) * ((y / (x \ y)) * ((x \ y) / y)) = x. [para(1008(a,2),57(a,1))]. 1010 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(57(a,1),1009(a,1,2,1))]. 1012 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [para(1010(a,1),32(a,2,2))]. 1013 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [para(602(a,1),1004(a,1,2,1)),flip(a)]. 1014 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(403(a,1),1013(a,1,1))]. 1015 (x * L(x \ (y \ x),z,u)) / (y \ x) = y * L(y \ 1,z,u). [hyper(74,a,1014,a)]. 1016 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (R(x,y,z) \ ((x * y) * z)) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(119(a,1),1015(a,1,1,2,1,2))]. 1017 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(14(a,1),507(a,2,1,1,2))]. 1018 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [para(1017(a,2),281(a,1))]. 1019 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(15(a,1),1018(a,1,1,1,2))]. 1020 R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). [hyper(611,a,1019,a)]. 1021 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(152(a,2),674(a,1,1))]. 1022 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [para(679(a,1),403(a,1)),flip(a)]. 1023 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [para(679(a,1),405(a,1))]. 1024 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(405(a,1),1023(a,1,1))]. 1025 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(428,a,1024,a)]. 1026 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(268,a,1024,a),flip(a)]. 1027 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(68,a,1024,a)]. 1028 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(18,a,180,a,b,1024,a),flip(a)]. 1029 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(18,a,175,a,b,1024,a)]. 1030 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) = K(y,x * L(y,z,u)). [para(1024(a,1),26(a,2,1)),flip(a)]. 1031 (x * (y * L(x,z,u))) \ ((y * x) * L(x,z,u)) = K(y * L(x,z,u),x). [para(1024(a,1),26(a,2,2)),flip(a)]. 1032 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [para(1026(a,1),32(a,2,2))]. 1033 R(1 / L(x,y,z),x,x \ 1) = (x / L(x,y,z)) * (x \ 1). [para(1026(a,1),154(a,1,1)),flip(a)]. 1034 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1029(a,1),91(a,2,1))]. 1035 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [para(1025(a,1),59(a,1,1))]. 1036 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1027(a,1),703(a,1,1)),flip(a)]. 1037 T((x / y) * L(y,z,u),y) = y \ (x * L(y,z,u)). [para(1028(a,1),106(a,1,1))]. 1038 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(89(a,1),1028(a,1,1)),flip(a)]. 1039 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1032(a,1),148(a,1,1))]. 1040 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(117(a,1),1035(a,1,1,1)),flip(a)]. 1041 ((x * (y / z)) * z) \ ((x * y) * z) = L(z,y / z,x). [para(353(a,1),1035(a,1,1,1))]. 1042 ((x * y) * L(x,z,u)) / T(x,y) = y * L(x,z,u). [para(1036(a,1),426(a,1,2))]. 1043 ((x * (y * z)) / z) / L(z,y,x) = (x * y) / z. [hyper(74,a,1038,a)]. 1044 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(68,a,1038,a),flip(a)]. 1045 L(x,y,z) \ ((z * (y * x)) / x) = T((z * y) / x,L(x,y,z)). [para(1038(a,1),32(a,2,2)),flip(a)]. 1046 (x * y) / L(z,y,R(x,y,z)) = (R(x,y,z) * y) / z. [para(178(a,1),1043(a,1,1))]. 1047 ((x * (y / z)) / z) \ ((x * y) / z) = L(z,y / z,x). [para(16(a,1),1044(a,2,2,1,2)),flip(a)]. 1048 (x * L(y,z,u)) / T(y,y \ x) = (y \ x) * L(y,z,u). [para(14(a,1),1042(a,1,1,1))]. 1049 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1042(a,1),16(a,1,1))]. 1050 T(x,y) \ ((x * y) * L(x,z,u)) = T(y * L(x,z,u),T(x,y)). [para(1042(a,1),106(a,1,1)),flip(a)]. 1051 a(1 / x,x / y,y) \ (((1 / x) * x) * y) = L(y,x / y,1 / x). [para(613(a,1),1041(a,1,1))]. 1052 R(1 / L(x,y,z),x,x \ 1) != u * (x \ 1) | x / L(x,y,z) = u. [para(1033(a,2),20(a,1))]. 1053 ((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(100(a,1),697(a,1,2))]. 1054 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [para(717(a,2),146(a,1))]. 1055 x \ R(x * (x \ T(y,x \ 1)),z,u) = R((x \ 1) \ (x \ y),z,u) * (x \ 1). [para(654(a,1),1054(a,1,2,1,2))]. 1056 T(1 / x,(y / (x * y)) * x) = L(x \ 1,x,y / (x * y)). [para(739(a,1),123(a,2)),flip(a)]. 1057 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(59(a,1),766(a,1,2)),flip(a)]. 1058 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(11(a,1),1057(a,2,1,1))]. 1059 L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). [para(795(a,1),32(a,2)),flip(a)]. 1060 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(68,a,808,a)]. 1061 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(14(a,1),810(a,2,2,1,2))]. 1062 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(68,a,811,a)]. 1063 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(68,a,813,a)]. 1064 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [para(857(a,1),32(a,2)),flip(a)]. 1065 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1064(a,1),145(a,1,2))]. 1066 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [hyper(292,a,1065,a)]. 1067 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [para(916(a,1),576(a,1)),flip(a)]. 1068 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(983(a,1),1067(a,1,1))]. 1069 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(74,a,1068,a)]. 1070 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(127(a,1),1068(a,1,1,2)),flip(a)]. 1071 (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. [para(59(a,1),1069(a,1,1,2,2)),flip(a)]. 1072 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1069(a,1),836(a,1,3)),flip(a)]. 1073 T(x,R(T(y,x),T(y,x) \ 1,x)) \ 1 = x \ (((T(y,x) \ y) * x) \ x). [para(1070(a,1),890(a,1,2,1)),flip(a)]. 1074 T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). [para(1071(a,1),974(a,1))]. 1075 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(1074(a,1),16(a,1,1))]. 1076 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(884(a,1),1075(a,1,1,2,1))]. 1077 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(57(a,1),980(a,1,1,1)),flip(a)]. 1079 ((x \ y) \ y) * (x \ (T(x,z) \ 1)) = x \ (T(x,z) \ ((x \ y) \ y)). [para(1077(a,1),939(a,1,2)),flip(a)]. 1080 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [para(16(a,1),1022(a,1,2,1,2)),flip(a)]. 1081 a(1 / x,x / y,y) \ y = L(y,x / y,1 / x). [para(58(a,1),1051(a,1,2))]. 1082 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(12(a,1),1060(a,1,2,2,1,2)),flip(a)]. 1083 (x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)). [para(14(a,1),1060(a,1,2,2,1,2)),flip(a)]. 1084 (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),1082(a,1,1)),flip(a)]. 1085 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(12(a,1),1062(a,1,2,2,1,2)),flip(a)]. 1086 (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * R(((x * y) \ (x * (y * z))) \ 1,u,w). [para(28(a,2),1085(a,1,1)),flip(a)]. 1087 x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R((x \ (y * x)) \ 1,z,u). [para(32(a,2),1085(a,1,1)),flip(a)]. 1088 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(14(a,1),1063(a,1,2,2,1))]. 1089 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [para(1088(a,1),85(a,1)),flip(a)]. 1090 x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(774(a,1),1089(a,1,2)),flip(a)]. 1091 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(718(a,1),1090(a,1,2,1))]. 1092 (L((x / y) / z,u,w) * z) * y = z * (y * L(y \ (z \ x),u,w)). [para(1080(a,2),676(a,1))]. 1093 T(x,y) * L((y \ (x * y)) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)). [para(32(a,2),1083(a,1,1))]. 1094 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [para(403(a,1),1092(a,1,1))]. 1095 (x * (y * L(y \ (x \ z),u,w))) / y = x * L(x \ (z / y),u,w). [hyper(74,a,1094,a)]. 1096 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [para(15(a,1),1094(a,1,1,2,1,2)),flip(a)]. 1097 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y * L(y \ (z / x),u,w),x). [para(1094(a,1),32(a,2,2)),flip(a)]. 1098 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [para(55(a,1),1094(a,1,1,2,1,2)),flip(a)]. 1099 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [para(13(a,1),1098(a,1,2,2,1,2))]. 1100 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(1098(a,1),676(a,2))]. 1101 (x * (y * L(y \ (x \ x),z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [para(1095(a,2),809(a,2)),flip(a)]. 1102 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [para(1061(a,1),1095(a,1,1)),flip(a)]. 1103 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(131,a,1096,a),flip(a)]. 1104 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [para(49(a,1),1096(a,1,2,2,1,2)),flip(a)]. 1105 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(32(a,2),1103(a,1,2,1,2)),flip(a)]. 1106 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(68,a,1105,a(flip))]. 1107 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(13(a,1),1106(a,1,2,1,2,1)),flip(a)]. 1108 ((x * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = R(x,R(y,y \ z,u),(y \ z) * u). [para(14(a,1),333(a,1,2,1))]. 1109 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(578(a,1),638(a,1,1))]. 1110 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [para(11(a,1),1109(a,1,1,1,2))]. 1111 ((x * (y * ((1 / z) \ 1))) / x) / z = (1 / z) * ((x * ((1 / z) \ y)) / x). [para(59(a,1),1109(a,1,2))]. 1112 T(R(T(x,x * y),y,y \ 1) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(42(a,2),934(a,1,1,1))]. 1113 (1 / x) \ K(1 / (1 / x),y) = K(1 / (1 / x),y) * x. [para(1002(a,1),1001(a,1))]. 1114 x \ (((T(y,x) \ y) * x) \ x) = ((T(y,x) \ y) * x) \ 1. [para(1070(a,1),1073(a,1,1)),flip(a)]. 1115 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(348(a,1),1076(a,2,2))]. 1116 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(11(a,1),1115(a,2,2,1))]. 1117 T(T(x,x * y) * y,(x * y) * (y \ 1)) = x * y. [para(364(a,1),1112(a,1,1))]. 1118 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(154(a,1),1117(a,1,2))]. 1119 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1118(a,1),38(a,1,1)),flip(a)]. 1120 x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). [para(104(a,1),594(a,1,2,1,1)),flip(a)]. 1122 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(13(a,1),812(a,2,2,2,1,2,2))]. 1123 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(49(a,1),812(a,2,2,2,1,2,2))]. 1124 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [para(1123(a,1),920(a,1))]. 1125 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(68,a,1124,a)]. 1126 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1089(a,2),1124(a,1,2))]. 1127 x \ T(x,x / (x * y)) = K(x,(x / y) / x). [hyper(68,a,1126,a)]. 1128 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(57(a,1),1126(a,1,2,2,1)),flip(a)]. 1129 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(99(a,2),1128(a,1,2))]. 1130 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1125(a,2),1075(a,1,1)),flip(a)]. 1131 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(15(a,1),1129(a,2,2,2))]. 1132 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(26(a,2),951(a,1,2,1)),flip(a)]. 1133 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(745(a,1),1132(a,1,2))]. 1134 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(68,a,1133,a)]. 1135 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(68,a,1003,a)]. 1136 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1089(a,2),1003(a,1,2))]. 1137 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(12(a,1),1136(a,2,2,1,2,2))]. 1138 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(32(a,2),1137(a,1,2,2,1,2)),flip(a)]. 1139 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1100(a,1),1099(a,1,2)),flip(a)]. 1140 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(727(a,1),1139(a,1,1)),flip(a)]. 1141 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [para(49(a,1),1101(a,1,1,2,2,1,2))]. 1143 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(588(a,1),1104(a,1,1))]. 1144 (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. [para(59(a,1),1111(a,1,1,1,2,2)),flip(a)]. 1145 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [para(11(a,1),1144(a,2,1,1,2))]. 1146 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [para(1144(a,1),920(a,1))]. 1147 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(14(a,1),1146(a,1,1,1,2)),flip(a)]. 1148 R(T(x,x / (1 / y)),y,x) = (x * (x * y)) / (y * x). [para(1146(a,1),179(a,1,1))]. 1149 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(59(a,1),1145(a,1,2,1,2))]. 1150 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [para(12(a,1),1135(a,1,2,2,1,2,2)),flip(a)]. 1151 ((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * x. [para(498(a,1),496(a,1,1)),flip(a)]. 1152 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [para(1151(a,2),281(a,1))]. 1153 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(74,a,1152,a)]. 1154 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(11(a,1),1152(a,2,2,1,2))]. 1155 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(745(a,2),1154(a,1,1))]. 1156 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(74,a,1155,a),flip(a)]. 1157 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(55(a,1),1155(a,1,1,1,2))]. 1158 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(15(a,1),1156(a,1,1,2))]. 1159 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(30(a,2),1156(a,1,1,2,2))]. 1160 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(926(a,1),1156(a,2,1,2))]. 1161 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [para(1157(a,2),279(a,1))]. 1162 (x / y) * T((x / y) \ x,z) = (x * T(y,z)) / y. [para(13(a,1),1153(a,1,1,2,1)),flip(a)]. 1163 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(104(a,1),1153(a,1,1)),flip(a)]. 1164 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(591(a,1),1153(a,1,1)),flip(a)]. 1165 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(592(a,1),1153(a,1,1))]. 1166 (x * T(y,z)) / y = (x / y) * T(y,z). [para(59(a,1),1162(a,1,2,1)),flip(a)]. 1167 ((x / y) * T(y,z)) * y = x * T(y,z). [para(1166(a,1),16(a,1,1))]. 1168 ((x / T(y,z)) / y) * T(y,z) = x / y. [para(16(a,1),1166(a,1,1)),flip(a)]. 1169 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [para(1166(a,1),59(a,1,1))]. 1170 (x / y) * T(y,x) = (y * x) / y. [para(104(a,1),1166(a,1,1)),flip(a)]. 1171 T((x / y) * T(y,z),y) = y \ (x * T(y,z)). [para(1166(a,1),106(a,1,1))]. 1172 T(x,y) = (y / x) \ ((x * y) / x). [hyper(68,a,1170,a),flip(a)]. 1173 (x * (y * x)) / x = y * T(x,y * x). [para(15(a,1),1170(a,1,1)),flip(a)]. 1174 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [para(1170(a,1),32(a,2,2)),flip(a)]. 1175 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [para(57(a,1),1170(a,1,1)),flip(a)]. 1176 ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). [para(1170(a,1),118(a,1,1))]. 1177 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(253(a,1),1170(a,1,1)),flip(a)]. 1178 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(272(a,1),1170(a,1,1)),flip(a)]. 1179 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1170(a,1),957(a,2,2))]. 1180 x \ ((y * (x * y)) / y) = T(y,x * y). [para(15(a,1),1172(a,2,1)),flip(a)]. 1181 (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). [para(1172(a,2),1102(a,1,2,1)),flip(a)]. 1182 (x * T(y,z)) * y = (x * y) * T(y,z). [para(15(a,1),1167(a,1,1,1))]. 1184 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(118(a,1),1167(a,1,1,1))]. 1185 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [para(15(a,1),1169(a,1,1,1))]. 1186 ((x * (y * x)) / x) / T(x,y * x) = y. [hyper(74,a,1173,a(flip))]. 1187 (x * T(y,x * y)) * y = y * (x * y). [para(1173(a,1),16(a,1,1))]. 1188 T(x,x / (y \ 1)) = T(x,y * x). [para(1180(a,1),973(a,1)),flip(a)]. 1189 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(428,a,1182,a)]. 1190 (1 / T(x,y)) * x = x / T(x,y). [hyper(268,a,1182,a),flip(a)]. 1191 ((x / T(y,z)) * y) * T(y,z) = x * y. [para(16(a,1),1182(a,1,1)),flip(a)]. 1193 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(106(a,1),1182(a,1,1,2)),flip(a)]. 1194 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(68,a,1190,a)]. 1195 T(1 / T(x,y),x) = x \ (x / T(x,y)). [para(1190(a,1),32(a,2,2))]. 1196 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1190(a,1),822(a,1,2))]. 1197 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1194(a,1),847(a,1,1)),flip(a)]. 1198 ((x * ((y / T(y,z)) * ((1 / T(y,z)) \ 1))) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). [para(1194(a,1),1109(a,2,2,1,2))]. 1199 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1185(a,1),703(a,1,1)),flip(a)]. 1200 ((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(1185(a,1),1153(a,1,1,2,1)),flip(a)]. 1202 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(937(a,2),1191(a,1,1))]. 1203 T(x,y) * T(T(x,y) \ 1,x) = (x \ (x / T(x,y))) * T(x,y). [para(1195(a,1),281(a,1,1)),flip(a)]. 1204 K(x \ (x / (1 / (1 / T(x,y)))),x) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(1195(a,1),843(a,1)),flip(a)]. 1205 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(464(a,1),1199(a,1,1,2))]. 1206 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1174(a,1),919(a,1,2,1))]. 1207 T(x * T(x \ y,y),x \ y) = y. [para(1175(a,1),126(a,1,1))]. 1208 T(x,y * T(y \ x,x)) = x. [para(1175(a,1),293(a,1,2))]. 1209 T(x,x * (y * T(y \ 1,x))) = x. [para(480(a,1),1208(a,1,2))]. 1210 T(x,x * K(y,x)) = x. [para(755(a,2),1209(a,1,2,2))]. 1211 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(947(a,1),1209(a,1,2,2))]. 1212 T(x * K(y,x),x) = x * K(y,x). [hyper(35,a,1210,a)]. 1213 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(926(a,1),1211(a,1,2,2,2,2))]. 1214 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1202(a,1),874(a,1,2)),flip(a)]. 1215 T(x,x * (T(x,y) \ x)) = x. [para(14(a,1),1213(a,1,2,2,2))]. 1216 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1215(a,1),38(a,1,1)),flip(a)]. 1217 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [para(1216(a,1),902(a,1)),flip(a)]. 1218 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1217(a,1),57(a,1,2))]. 1219 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1070(a,1),1217(a,1,1,2,1))]. 1220 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1218(a,2),468(a,1,2))]. 1221 (x / T(x,y)) * x = x * (T(x,y) \ x). [para(1218(a,1),1189(a,1)),flip(a)]. 1222 T(x / T(x,y),x) = T(x,y) \ x. [hyper(131,a,1221,a(flip))]. 1223 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1222(a,1),281(a,1,1)),flip(a)]. 1224 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(74,a,1214,a),flip(a)]. 1225 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [para(1224(a,1),937(a,1))]. 1226 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1225(a,1),1148(a,2))]. 1227 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(144(a,1),1184(a,1,1))]. 1229 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(1227(a,2),104(a,1))]. 1230 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(131,a,1229,a(flip))]. 1231 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(1230(a,1),1119(a,1,1))]. 1232 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(16(a,1),1231(a,1,1)),flip(a)]. 1233 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(106(a,1),1193(a,1,2))]. 1234 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(126(a,1),1193(a,1,2)),flip(a)]. 1235 (x * ((y / z) \ y)) * (y / (y / z)) = (x * (y / (y / z))) * z. [para(151(a,1),1193(a,1,2)),flip(a)]. 1236 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(428,a,1233,a)]. 1237 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(268,a,1233,a),flip(a)]. 1238 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(18,a,180,a,b,1233,a),flip(a)]. 1240 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [para(1237(a,1),32(a,2,2)),flip(a)]. 1241 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [para(1237(a,1),990(a,1))]. 1242 (((x * y) / x) / (x / y)) * (y \ x) = T(x,y) / (x / y). [para(910(a,2),1236(a,1,1)),flip(a)]. 1243 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1240(a,1),842(a,1,1))]. 1244 (((x * y) / x) / (x / y)) * z != T(x,y) / (x / y) | y \ x = z. [para(1242(a,1),19(a,1)),flip(a)]. 1245 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(346(a,1),1232(a,2,2))]. 1246 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(16(a,1),1245(a,1,1))]. 1247 T(x,x * (y \ 1)) = T(x,y \ x). [para(106(a,1),1246(a,1,2)),flip(a)]. 1248 T(x,(1 / y) \ x) = T(x,x * y). [para(59(a,1),1247(a,1,2,2)),flip(a)]. 1249 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [para(401(a,1),1181(a,1,1)),flip(a)]. 1250 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(15(a,1),1249(a,1,1)),flip(a)]. 1251 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1250(a,1),106(a,1,1))]. 1252 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(13(a,1),1234(a,1,1,2)),flip(a)]. 1253 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(428,a,1252,a)]. 1254 (x * ((y * z) / y)) / z = (x / z) * ((y * z) / y). [hyper(18,a,180,a,b,1252,a),flip(a)]. 1255 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(922(a,1),1252(a,1,1)),flip(a)]. 1256 (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1))))) / y. [para(666(a,1),1254(a,1,1,2,1)),flip(a)]. 1257 T(x,x / (x / y)) * y = x * ((x * y) / x). [para(16(a,1),1255(a,1,1)),flip(a)]. 1258 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(873,a,1257,a)]. 1259 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(74,a,1258,a)]. 1261 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [para(1259(a,1),1147(a,2))]. 1262 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(13(a,1),1261(a,1,2,2,2)),flip(a)]. 1263 (x * (y / (y / z))) * z = (x * z) * (y / (y / z)). [para(59(a,1),1235(a,1,1,2)),flip(a)]. 1264 (x * y) / (z / (z / y)) = (x / (z / (z / y))) * y. [hyper(428,a,1263,a)]. 1265 (1 / (x / (x / y))) * y = y / (x / (x / y)). [hyper(268,a,1263,a),flip(a)]. 1266 ((x / y) / (z / (z / y))) * y = x / (z / (z / y)). [para(16(a,1),1264(a,1,1)),flip(a)]. 1267 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * (y \ (x * y)). [para(1251(a,2),852(a,1))]. 1268 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [para(32(a,2),1267(a,2,2))]. 1269 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(1206(a,1),14(a,1,2))]. 1270 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [para(1269(a,1),947(a,1))]. 1271 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(14(a,1),1160(a,2,1))]. 1272 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [para(539(a,1),336(a,1))]. 1273 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(413(a,1),1272(a,2,1))]. 1274 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(11(a,1),1273(a,1,2,1,2))]. 1275 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1273(a,1,2,1)),flip(a)]. 1276 ((x / y) * R((x / y) \ z,u,w)) * y = x * R(((x / y) * y) \ (z * y),u,w). [para(16(a,1),1273(a,1,1)),flip(a)]. 1277 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w). [para(460(a,1),1273(a,1,2,1)),flip(a)]. 1278 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [para(1273(a,1),674(a,1)),flip(a)]. 1279 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [para(1273(a,1),1062(a,1,2)),flip(a)]. 1280 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1275(a,1,1,2,1))]. 1281 (x * y) / R(y,z,u) = (x / R(y,z,u)) * y. [hyper(428,a,1280,a)]. 1282 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(268,a,1280,a),flip(a)]. 1283 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(68,a,1280,a)]. 1284 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(18,a,180,a,b,1280,a),flip(a)]. 1285 (x * T(y,x)) * R(T(y,x),z,u) = (R(y,z,u) * x) * T(y,x). [para(146(a,1),1280(a,1,1)),flip(a)]. 1286 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [para(1281(a,1),59(a,1,1))]. 1287 ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. [para(16(a,1),1283(a,1,2,1))]. 1288 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1283(a,1),703(a,1,1)),flip(a)]. 1289 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1288(a,1),146(a,1,2)),flip(a)]. 1290 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). [para(1288(a,1),599(a,1)),flip(a)]. 1291 (x * R(x \ 1,y,z)) * x = x * (x * R(x \ 1,y,z)). [para(1274(a,1),585(a,1))]. 1292 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [para(1274(a,1),673(a,1)),flip(a)]. 1293 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [para(1274(a,1),674(a,1)),flip(a)]. 1294 T(x,x * R(x \ 1,y,z)) = x. [hyper(131,a,1291,a)]. 1295 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [hyper(131,a,1291,a(flip))]. 1296 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(59(a,1),1294(a,1,2,2,1))]. 1297 T(x,(y / (x * y)) * x) = x. [para(425(a,2),1294(a,1,2))]. 1298 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(416(a,1),1294(a,1,2))]. 1299 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(716(a,1),1294(a,1,2))]. 1300 T(x,(x \ 1) * x) = x. [para(111(a,1),1297(a,1,2,1))]. 1301 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1297(a,1),941(a,1,1,1)),flip(a)]. 1302 T(x,K(x \ 1,x)) = x. [para(152(a,2),1300(a,1,2))]. 1303 R(x,x \ 1,x) = T(x,x \ 1). [para(1300(a,1),518(a,1,1))]. 1304 K(x \ 1,x) * x = x * K(x \ 1,x). [para(1302(a,1),104(a,1,2))]. 1305 R(T(x,y),x \ 1,x) = T(T(x,x \ 1),y). [para(1303(a,1),42(a,2,1))]. 1306 R(x,x \ 1,x) = (x \ 1) \ 1. [para(1303(a,2),105(a,1))]. 1307 T(x,x \ 1) \ x = (x \ 1) * x. [para(1303(a,1),273(a,1,1))]. 1308 x / K(x \ 1,x) = T(x,x \ 1). [para(1303(a,1),376(a,2))]. 1309 x / K(x \ 1,x) = (x \ 1) \ 1. [para(1306(a,1),376(a,2))]. 1310 T(x,x \ 1) \ x = x * T(x \ 1,x). [para(1307(a,2),104(a,2)),flip(a)]. 1311 T(x,x \ 1) * K(x \ 1,x) = x. [para(1308(a,1),16(a,1,1))]. 1312 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1309(a,1),16(a,1,1))]. 1313 T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). [hyper(35,a,1299,a)]. 1314 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1299(a,1),38(a,1,1)),flip(a)]. 1315 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(891,a,1310,a)]. 1316 1 / T(x \ 1,x) = T(x,x \ 1). [para(1315(a,1),57(a,1,2))]. 1317 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(105(a,1),1315(a,1,1)),flip(a)]. 1318 x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). [para(1315(a,1),253(a,1,2,1))]. 1319 T((1 / x) \ 1,1 / x) = (x \ 1) \ 1. [para(196(a,1),1315(a,1,1)),flip(a)]. 1320 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [para(1315(a,1),206(a,2))]. 1321 T((x \ 1) \ 1,x \ 1) = T(x \ 1,x) \ 1. [para(1317(a,2),1317(a,2,1))]. 1322 T(x,1 / x) = (x \ 1) \ 1. [para(59(a,1),1319(a,1,1))]. 1323 ((1 / x) * ((x \ 1) \ 1)) / (1 / x) = x. [para(1322(a,1),127(a,1,1,2))]. 1324 T(x,1 / x) = T(x,x \ 1). [para(1322(a,2),105(a,2)),flip(a)]. 1325 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1322(a,1),525(a,1,1))]. 1326 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1322(a,1),685(a,1,1,1))]. 1327 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1324(a,1),290(a,1,1,2))]. 1328 L(T(x,x \ 1),1 / x,x) = T(x,x * (1 / x)). [para(1324(a,1),459(a,1,1))]. 1329 T(x,x \ 1) / x = K(x,1 / x). [para(1324(a,1),525(a,1,1))]. 1330 R(x,1 / x,x) = T(x,x \ 1). [para(1324(a,1),624(a,2))]. 1331 T(T(x,x \ 1),y) / x = T(x,y) * (1 / x). [para(1324(a,1),626(a,1,1,1))]. 1332 T(x,y) \ T(T(x,x \ 1),y) = a(T(x,y),1 / x,x). [para(1324(a,1),627(a,1,2,1))]. 1333 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1330(a,1),46(a,1,1)),flip(a)]. 1334 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(59(a,1),1325(a,1,1,1)),flip(a)]. 1335 (x \ 1) \ (1 / x) = K(x,1 / x). [para(1325(a,1),964(a,1)),flip(a)]. 1336 (x \ 1) * K(x,1 / x) = 1 / x. [para(1335(a,1),14(a,1,2))]. 1337 (1 / x) / K(x,1 / x) = x \ 1. [para(1335(a,1),57(a,1,2))]. 1338 R(1 / x,x,1 / x) = x \ 1. [para(1337(a,1),264(a,1)),flip(a)]. 1339 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1338(a,1),260(a,1,1)),flip(a)]. 1340 T(1 / (1 / x),x \ 1) = x. [para(1323(a,1),636(a,1)),flip(a)]. 1341 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1340(a,1),38(a,1,1)),flip(a)]. 1342 T(1 / (1 / (1 / x)),x) = 1 / x. [para(59(a,1),1340(a,1,2))]. 1343 (1 / (1 / x)) * (x \ 1) = (x \ 1) * x. [para(1340(a,1),104(a,1,2)),flip(a)]. 1344 T((x * (1 / (1 / y))) / x,y \ 1) = (x * y) / x. [para(1340(a,1),290(a,1,1,2)),flip(a)]. 1345 T(T((x * (1 / (1 / y))) / x,y \ 1),(1 / (1 / y)) * x) = L(y,x,1 / (1 / y)). [para(1340(a,1),618(a,2,1))]. 1346 (x * (1 / x)) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). [para(1340(a,1),712(a,1,1,1))]. 1347 T(x,x \ 1) / x = K(x,x \ 1). [para(1340(a,1),1243(a,1,1)),flip(a)]. 1348 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(1342(a,1),104(a,1,2)),flip(a)]. 1349 K(x,x \ 1) * x = T(x,x \ 1). [para(1347(a,1),16(a,1,1))]. 1350 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(105(a,1),1347(a,1,1))]. 1351 K(x,1 / x) = K(x,x \ 1). [para(1347(a,1),1329(a,1)),flip(a)]. 1352 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(57(a,1),1351(a,1,2)),flip(a)]. 1353 K(x,x \ 1) = x * (1 / x). [para(1351(a,1),184(a,1))]. 1354 x \ K(x,x \ 1) = 1 / x. [para(1351(a,1),222(a,1,2))]. 1355 T(x,y) \ K(x,x \ 1) = x * (T(x,y) \ (1 / x)). [para(1351(a,1),896(a,1,2))]. 1356 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1351(a,1),1336(a,1,2))]. 1358 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1353(a,2),86(a,1,1))]. 1359 L(x \ (1 / y),x,y) = (y * x) \ K(y,y \ 1). [para(1353(a,2),91(a,2,2))]. 1360 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [para(1353(a,2),100(a,1,2))]. 1361 K((1 / x) \ 1,1 / x) = K(x,x \ 1). [para(1353(a,2),213(a,2))]. 1362 x \ ((x / y) * K(y,y \ 1)) = L(1 / y,y,x / y). [para(1353(a,2),92(a,1,2,2))]. 1363 K(x,x \ 1) * y != x * ((1 / x) * z) | L(z,1 / x,x) = y. [para(1353(a,2),306(a,1,1))]. 1365 T((x * y) \ (K(x,x \ 1) * y),x) = R(T(1 / x,x * y),x,y). [para(1353(a,2),703(a,1,1,2,1))]. 1366 (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / (y * (1 / y)),z) * K(y,y \ 1). [para(1353(a,2),598(a,2,2))]. 1367 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1353(a,2),851(a,1,2))]. 1368 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1353(a,2),853(a,1,2))]. 1369 T(x \ (K(y,y \ 1) * (y \ x)),y) = R(T(1 / y,x),y,y \ x). [para(1354(a,1),1020(a,1,1,1)),flip(a)]. 1370 ((x * K(y,y \ 1)) * y) / T(y,y \ 1) = R(x,K(y,y \ 1),y). [para(1349(a,1),30(a,2,2)),flip(a)]. 1371 K(x,x \ 1) * x = (x \ 1) \ 1. [para(1349(a,2),105(a,1))]. 1372 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(1349(a,1),89(a,1,1))]. 1373 T(x,x \ 1) \ (K(x,x \ 1) * y) = L(x \ y,x,K(x,x \ 1)). [para(1349(a,1),91(a,2,1)),flip(a)]. 1374 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1349(a,1),306(a,1,1))]. 1375 K(x,x \ 1) \ (L(y,x,((x \ 1) \ 1) / x) * ((x \ 1) \ 1)) = x * T(y,(x \ 1) \ 1). [para(1350(a,1),622(a,1,1))]. 1376 ((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y. [para(1371(a,1),321(a,1,1))]. 1377 (x \ 1) / (1 / x) = (x \ 1) * x. [para(1343(a,1),1237(a,1)),flip(a)]. 1378 (x \ 1) / (1 / x) = K(x \ 1,x). [para(1377(a,2),152(a,2)),flip(a)]. 1379 K(x \ 1,x) * (1 / x) = x \ 1. [para(1378(a,1),16(a,1,1))]. 1380 K(x \ 1,x) \ (x \ 1) = 1 / x. [para(1378(a,1),59(a,1,1))]. 1381 K(x \ 1,x) * ((1 / x) * T((1 / x) \ 1,y)) = (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y). [para(1378(a,1),601(a,1,1))]. 1382 x \ (1 / (1 / x)) = K(x \ 1,x). [para(1378(a,1),1241(a,1)),flip(a)]. 1383 x * (1 / y) != y \ 1 | K(y \ 1,y) = x. [para(1379(a,1),20(a,1)),flip(a)]. 1384 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1379(a,1),89(a,1,1))]. 1385 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1379(a,1),91(a,2,1))]. 1386 R(x,K(y \ 1,y),1 / y) * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). [para(1379(a,1),100(a,1,2))]. 1387 K(x \ 1,x) * y != (x \ 1) * L(z,1 / x,K(x \ 1,x)) | (1 / x) * z = y. [para(1379(a,1),299(a,1,1)),flip(a)]. 1388 L(x \ 1,x,x \ 1) = 1 / x. [para(1380(a,1),255(a,1)),flip(a)]. 1389 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1388(a,1),40(a,2,1))]. 1390 T(1 / x,K(x \ 1,x)) = 1 / x. [para(1388(a,1),615(a,2))]. 1391 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1388(a,1),1014(a,1,1,2)),flip(a)]. 1392 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1388(a,1),1098(a,2,1,2))]. 1393 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1388(a,1),675(a,1,2,1))]. 1394 x * K(x \ 1,x) = 1 / (1 / x). [para(1382(a,1),14(a,1,2))]. 1395 L(K(x \ 1,x),x,y) = (y * x) \ (y * (1 / (1 / x))). [para(1382(a,1),91(a,1,1))]. 1396 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ (1 / (1 / L(x \ 1,x,y))). [para(1382(a,1),511(a,1))]. 1397 L(1 / x,y,z) * K(x \ 1,x) = K(x \ 1,x) * L(1 / x,y,z). [para(1390(a,1),145(a,1,2,1)),flip(a)]. 1398 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) = R(x,K(x \ 1,x),y). [para(1394(a,1),30(a,2,1,1)),flip(a)]. 1399 L(x,x \ 1,x) = 1 / (1 / x). [para(1394(a,1),363(a,1)),flip(a)]. 1400 K(x \ 1,x) * x = 1 / (1 / x). [para(1394(a,1),1304(a,2))]. 1401 L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). [para(1399(a,1),40(a,2,1))]. 1402 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1399(a,1),44(a,1,1)),flip(a)]. 1403 (x * (y * (1 / (1 / x)))) \ ((y * x) * L(x,x \ 1,x)) = K(y * L(x,x \ 1,x),x). [para(1399(a,1),1031(a,1,1,2,2))]. 1404 (1 / (1 / x)) / (x * x) = R(x \ 1,x,x). [para(1400(a,1),211(a,1,1))]. 1405 x / (1 / (1 / x)) = x * (1 / x). [para(1348(a,1),1265(a,1)),flip(a)]. 1406 (1 / (1 / (1 / x))) * x = K(x,x \ 1). [para(1348(a,2),1353(a,2)),flip(a)]. 1407 x / (1 / (1 / x)) = K(x,1 / x). [para(1405(a,2),184(a,2)),flip(a)]. 1408 x / (1 / (1 / x)) = K(x,x \ 1). [para(1405(a,2),1353(a,2)),flip(a)]. 1409 K(x,1 / x) * (1 / (1 / x)) = x. [para(1407(a,1),16(a,1,1))]. 1410 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1408(a,1),16(a,1,1))]. 1411 K(x,x \ 1) \ x = 1 / (1 / x). [para(1408(a,1),59(a,1,1))]. 1412 L(x,1 / x,x) = 1 / (1 / x). [hyper(398,a,1409,a)]. 1413 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1412(a,1),40(a,2,1))]. 1414 T(L(x,1 / x,x),x \ 1) = x. [para(1412(a,2),1340(a,1,1))]. 1415 L(T(x,x \ 1),1 / x,x) = x. [para(1414(a,1),40(a,2))]. 1416 L(1 / (1 / x),K(x,x \ 1),y) = (y * K(x,x \ 1)) \ (y * x). [para(1410(a,1),28(a,2,2,2))]. 1417 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1410(a,1),89(a,1,1))]. 1418 L((1 / (1 / x)) \ y,1 / (1 / x),K(x,x \ 1)) = x \ (K(x,x \ 1) * y). [para(1410(a,1),91(a,2,1))]. 1419 (K(x,x \ 1) * y) / (x * y) = R(1 / (1 / (1 / x)),x,y). [para(1406(a,1),30(a,2,1,1)),flip(a)]. 1420 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1296(a,1),466(a,1,1,2))]. 1421 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1298(a,1),518(a,1,1))]. 1422 ((T(x,y) * (x \ 1)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(1305(a,1),341(a,1,2,3))]. 1423 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1389(a,1),315(a,1,2))]. 1424 T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. [para(1401(a,1),359(a,1,1))]. 1425 a(x,x \ 1,T(x,y)) = T(1 / (1 / x),y) \ T(x,y). [para(1401(a,1),580(a,1,1)),flip(a)]. 1426 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). [para(1404(a,1),403(a,1,1,1)),flip(a)]. 1427 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [para(1413(a,1),835(a,2))]. 1428 (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = T(T(x,y),R(1 / x,x,T(x,y))) / T(x,y). [para(1331(a,2),1071(a,1,2,1))]. 1429 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [para(1334(a,2),1378(a,1))]. 1430 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [para(1429(a,1),1351(a,1)),flip(a)]. 1431 K(1 / x,x) = K(x \ 1,x). [para(59(a,1),1430(a,1,2))]. 1432 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(57(a,1),1431(a,1,1)),flip(a)]. 1433 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(T(x,x \ 1),T(x \ 1,x)). [para(1316(a,1),1431(a,1,1)),flip(a)]. 1434 K(x,x \ 1) \ 1 = K(x \ 1,x). [para(1431(a,1),1358(a,2))]. 1435 x * K(1 / x,x) = 1 / (1 / x). [para(1431(a,2),1394(a,1,2))]. 1436 K(1 / (1 / x),1 / x) = K(x,x \ 1). [para(1431(a,2),1361(a,1))]. 1438 K((x \ 1) \ 1,x \ 1) = K(x,1 / x). [para(1432(a,2),1351(a,2)),flip(a)]. 1439 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,1 / (x \ 1)). [para(1317(a,2),1438(a,1,1))]. 1440 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1339(a,1),119(a,1,1))]. 1441 L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)). [para(184(a,2),1328(a,2,2))]. 1442 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1333(a,1),582(a,1,2))]. 1443 T(x,K(x,1 / x)) = x. [para(1441(a,1),1415(a,1))]. 1444 T(x,y) * K(x,1 / x) = K(x,1 / x) * T(x,y). [para(1443(a,1),144(a,1,2,1)),flip(a)]. 1445 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(59(a,1),1326(a,1,1,1,1)),flip(a)]. 1446 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1326(a,1),106(a,1,1))]. 1447 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [para(1327(a,1),290(a,1))]. 1448 K(x,1 / x) * T(x,y) = x * (T(x,y) * (1 / x)). [para(1444(a,1),876(a,1))]. 1449 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(127(a,1),1447(a,1,1)),flip(a)]. 1450 K(x,x \ 1) * T(x,y) = x * (T(x,y) * (1 / x)). [para(1351(a,1),1448(a,1,1))]. 1452 T(x,y) \ T(T(x,y),x \ 1) = a(T(x,y),1 / x,x). [para(38(a,1),1332(a,1,2))]. 1453 T(T(x,x \ 1),y) / T(T(x,y),a(T(x,y),1 / x,x)) = T(x,y) \ T(T(x,x \ 1),y). [para(1332(a,1),159(a,1,2,2))]. 1454 T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). [para(1421(a,1),805(a,1,1))]. 1455 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1427(a,1),14(a,1,2))]. 1456 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,x). [para(57(a,1),1439(a,2,2))]. 1458 K(T(x \ 1,x),T(x,x \ 1)) = K(x \ 1,x). [para(105(a,2),1456(a,1,2))]. 1459 K(T((x \ 1) \ 1,x \ 1),T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [para(1458(a,2),1432(a,1))]. 1460 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(127(a,1),1449(a,1,1)),flip(a)]. 1461 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1460(a,1),1197(a,1,1))]. 1462 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1461(a,1),1168(a,1,1,1))]. 1463 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1351(a,1),1455(a,1,1))]. 1464 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(1411(a,2),1463(a,1,2,1))]. 1465 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1353(a,2),1391(a,2,1))]. 1466 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1465(a,1),1392(a,1,2))]. 1467 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(17,a,12,a(flip),b,1466,a)]. 1468 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1353(a,2),1466(a,2,1))]. 1469 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1467(a,1),353(a,1,1))]. 1470 x \ (K(x,x \ 1) * y) = K(x,x \ 1) * (x \ y). [hyper(68,a,1468,a)]. 1471 K(x,x \ 1) * (x \ T(x,y)) = T(x,y) * (1 / x). [hyper(17,a,1450,a(flip),b,1468,a)]. 1472 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(13(a,1),1468(a,1,2,2)),flip(a)]. 1473 K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. [para(1468(a,1),19(a,1))]. 1474 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(32(a,2),1468(a,1,2,2))]. 1475 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1352(a,1),1468(a,1,2,1))]. 1477 (R(x,y,z) * u) * T(x,u) = (x * u) * R(T(x,u),y,z). [para(104(a,1),1285(a,1,1)),flip(a)]. 1478 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. [para(1290(a,2),106(a,1))]. 1479 (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). [para(1478(a,1),14(a,1,2))]. 1480 (x * (y / (x * y))) * (x \ 1) = 1 * R(1 / x,x,y). [para(125(a,1),1479(a,1,1,2))]. 1481 (x * (y / (x * y))) * (x \ 1) = R(1 / x,x,y). [hyper(64,a,1480,a(flip)),flip(a)]. 1482 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [para(14(a,1),1481(a,1,1,2,2))]. 1483 x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). [para(1423(a,1),407(a,1,2))]. 1484 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [para(1462(a,1),561(a,1)),flip(a)]. 1485 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(1464(a,1),658(a,1,1))]. 1486 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(884(a,1),1484(a,1,2,1))]. 1487 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1484(a,1),1124(a,1,2))]. 1488 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1486(a,1),1116(a,1,1))]. 1489 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [para(1488(a,1),16(a,1))]. 1490 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [para(1489(a,1),1487(a,2))]. 1491 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1486(a,2),1490(a,1,2))]. 1492 T((x * y) \ (K(x,x \ 1) * y),x) = (x * y) \ y. [para(1365(a,2),483(a,1))]. 1493 T(x \ (K(y,y \ 1) * (y \ x)),y) = x \ (y \ x). [para(1369(a,2),602(a,1))]. 1494 T(x \ (K(y \ 1,y) * ((y \ 1) \ x)),y \ 1) = x \ ((y \ 1) \ x). [para(1352(a,1),1493(a,1,1,2,1))]. 1495 ((x * K(y,y \ 1)) / T(y,y \ 1)) * y = R(x,K(y,y \ 1),y). [para(1370(a,1),1189(a,1)),flip(a)]. 1496 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). [para(1372(a,2),1472(a,1))]. 1497 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [para(1440(a,2),1353(a,2)),flip(a)]. 1498 T(x,x \ 1) * y != x * (K(x,x \ 1) * z) | L(z,x,K(x,x \ 1)) = y. [para(1496(a,1),19(a,1)),flip(a)]. 1499 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(131,a,1278,a),flip(a)]. 1500 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(32(a,2),1499(a,1,2,1,2)),flip(a)]. 1501 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(68,a,1500,a(flip))]. 1502 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [para(1500(a,2),419(a,1,1))]. 1503 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(13(a,1),1502(a,1,1,1,2,1)),flip(a)]. 1505 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1289(a,1),100(a,1))]. 1506 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(420(a,1),1301(a,1,2))]. 1507 K(x,x \ 1) * ((1 / x) \ y) = y * T(y \ ((1 / x) \ y),x \ 1). [para(1353(a,2),1346(a,1,1))]. 1508 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1397(a,2),1393(a,1))]. 1509 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1420(a,1),724(a,1,1))]. 1510 K(T(x \ 1,x) \ 1,T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [para(1321(a,1),1459(a,1,1))]. 1511 K(T(x \ 1,x) \ 1,((x \ 1) \ 1) \ 1) = K(x,x \ 1). [para(105(a,1),1510(a,1,2))]. 1512 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(x,x \ 1). [para(1317(a,2),1511(a,1,2))]. 1513 K(T(x,x \ 1),T(x \ 1,x)) = K(x,x \ 1). [para(1512(a,1),1433(a,1)),flip(a)]. 1514 K(T(x,x \ 1),T(x,x \ 1) \ 1) = K(x,x \ 1). [para(1315(a,2),1513(a,1,2))]. 1515 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(1514(a,1),1470(a,1,2,1)),flip(a)]. 1516 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [para(1509(a,1),149(a,1)),flip(a)]. 1517 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(700,a,1384,a(flip))]. 1518 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1274(a,1),1292(a,1,2)),flip(a)]. 1519 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(716(a,1),1518(a,1,1)),flip(a)]. 1520 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1352(a,1),1475(a,2,1))]. 1521 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(68,a,1520,a)]. 1522 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [para(1521(a,1),1385(a,2))]. 1523 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1434(a,1),1485(a,1,2))]. 1524 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1434(a,1),1523(a,2,1,2))]. 1525 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1394(a,1),1524(a,2,1))]. 1527 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(312(a,1),559(a,1,1)),flip(a)]. 1528 x * T(T(x \ (y * x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(692(a,1),820(a,1,2))]. 1529 x * T(T(T(y,x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(32(a,2),1528(a,1,2,1,1))]. 1530 x * (T(T(x,y),z) * (x \ u)) = T(T(x,y),z) * u. [para(1529(a,1),280(a,1))]. 1531 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [para(1177(a,2),311(a,1))]. 1532 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1531(a,1),983(a,1,1)),flip(a)]. 1533 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(1219(a,2),1070(a,1))]. 1534 (T(x,y) * (L(x,z,u) * y)) \ ((y * L(T(x,y),z,u)) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(1049(a,2),400(a,1,2))]. 1535 (((x / y) * (1 / (x / y))) * y) / x = ((x / y) * (y / x)) / (x / y). [para(16(a,1),698(a,1,1,2,2)),flip(a)]. 1536 (K(x / y,(x / y) \ 1) * y) / x = ((x / y) * (y / x)) / (x / y). [para(1353(a,2),1535(a,1,1,1))]. 1537 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(14(a,1),798(a,1,2,1)),flip(a)]. 1538 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(106(a,1),1537(a,1,1)),flip(a)]. 1539 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(106(a,1),1538(a,1,2)),flip(a)]. 1540 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(13(a,1),1539(a,1,1)),flip(a)]. 1541 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(13(a,1),1540(a,1,2)),flip(a)]. 1542 T(x,y) * (L(x,z,u) \ 1) = L(x,z,u) \ T(x,y). [para(14(a,1),861(a,1,2,1)),flip(a)]. 1543 L(x / y,z,u) \ T(x / y,y) = (y \ x) * (L(x / y,z,u) \ 1). [para(106(a,1),1542(a,1,1)),flip(a)]. 1544 (x \ y) * (L(y / x,z,u) \ 1) = L(y / x,z,u) \ (x \ y). [para(106(a,1),1543(a,1,2)),flip(a)]. 1545 L(x / (x / y),z,u) \ ((x / y) \ x) = y * (L(x / (x / y),z,u) \ 1). [para(59(a,1),1544(a,1,1)),flip(a)]. 1546 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(595(a,1),969(a,1,2))]. 1547 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(26(a,2),1546(a,1,2,1)),flip(a)]. 1548 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(294(a,1),987(a,1,1)),flip(a)]. 1549 a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). [para(14(a,1),994(a,1,2,2)),flip(a)]. 1550 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(14(a,1),1549(a,1,3,2)),flip(a)]. 1552 R((x \ 1) \ (x \ y),z,u) * (x \ 1) = x \ R(T(y,x \ 1),z,u). [para(14(a,1),1055(a,1,2,1)),flip(a)]. 1553 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = R((x \ 1) \ (x \ y),z,u). [hyper(74,a,1552,a)]. 1555 R((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ R(y,z,u)). [para(1553(a,1),664(a,1))]. 1556 x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R(T(y,x) \ 1,z,u). [para(32(a,2),1087(a,2,2,1,1))]. 1557 x \ ((y * R(y \ 1,z,u)) * x) = T(y,x) * R(T(y,x) \ 1,z,u). [para(1274(a,1),1556(a,1,2))]. 1558 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [para(1557(a,1),32(a,2)),flip(a)]. 1559 ((x / y) * R((x / y) \ z,u,w)) * y = x * R(x \ (z * y),u,w). [para(16(a,1),1276(a,2,2,1,1))]. 1560 (x * R(x \ (y * z),u,w)) / z = (x / z) * R((x / z) \ y,u,w). [hyper(74,a,1559,a)]. 1561 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [para(11(a,1),1560(a,1,1,2,1,2)),flip(a)]. 1562 (((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),1561(a,1,1)),flip(a)]. 1563 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [para(1279(a,2),32(a,2)),flip(a)]. 1564 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(416(a,1),1279(a,2,2,1))]. 1565 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1563(a,1,1))]. 1566 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1565(a,1,2,1,1))]. 1567 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),1566(a,2,1,2,1))]. 1568 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [para(637(a,1),576(a,1))]. 1569 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(16(a,1),1568(a,1,2,1,2,2)),flip(a)]. 1570 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(561(a,1),1568(a,2,1))]. 1571 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [para(16(a,1),1569(a,1,1)),flip(a)]. 1572 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [para(1571(a,1),920(a,1))]. 1573 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [para(1571(a,1),812(a,1)),flip(a)]. 1574 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [para(1572(a,1),32(a,2,2)),flip(a)]. 1575 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(342(a,2),1573(a,2,1,2,1)),flip(a)]. 1576 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(11(a,1),1570(a,1,2,1,2,2))]. 1577 (x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)). [para(51(a,1),1570(a,1,2,1)),flip(a)]. 1578 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [para(1570(a,1),812(a,1)),flip(a)]. 1579 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [para(1576(a,1),1123(a,1))]. 1580 (x * ((y * (x \ 1)) / y)) * z = z * K(y,(y / T(x,z)) / y). [para(1576(a,1),1138(a,1))]. 1581 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [para(1576(a,1),1122(a,1)),flip(a)]. 1582 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1576(a,1),1573(a,1,2)),flip(a)]. 1583 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1145(a,1),1579(a,1,1)),flip(a)]. 1584 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(131,a,1580,a(flip))]. 1585 T(x \ ((y * x) / y),z) = K(y,(y / T(x \ 1,z)) / y). [para(971(a,1),1584(a,1,1))]. 1586 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [para(1584(a,2),1089(a,1)),flip(a)]. 1587 T(x \ T(x,x / (x * y)),z) = K(x,(x / T(y,z)) / x). [para(1125(a,2),1584(a,1,1))]. 1588 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(14(a,1),1586(a,2,1,2,1))]. 1589 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(884(a,1),1588(a,1,2,1))]. 1590 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1353(a,2),1589(a,2,1))]. 1591 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(1590(a,1),1491(a,1,2))]. 1592 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(14(a,1),1578(a,1,2,2,1)),flip(a)]. 1593 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(91(a,2),1592(a,2,2,2,1))]. 1594 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1576(a,1),1581(a,1,2)),flip(a)]. 1595 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1089(a,2),1594(a,1,1))]. 1596 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1145(a,1),1583(a,1,2)),flip(a)]. 1597 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(74,a,1596,a)]. 1598 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(1597(a,1),577(a,1,1))]. 1599 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [para(1598(a,1),179(a,1))]. 1600 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(1599(a,1),444(a,1,1))]. 1601 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [para(1600(a,1),106(a,1))]. 1602 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(1601(a,2),26(a,2))]. 1603 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(26(a,2),1602(a,2,1,2)),flip(a)]. 1604 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(1603(a,1),16(a,1,1))]. 1605 K(x,y) \ ((1 / y) * K(x,y)) = 1 / y. [para(1603(a,1),59(a,1,1))]. 1606 (K(x,y) * (1 / y)) / K(x,y) = 1 / y. [para(1603(a,1),62(a,1,1,1))]. 1607 T(1 / x,K(y,x)) = 1 / x. [hyper(131,a,1604,a)]. 1608 (1 / x) * K(x \ 1,x) = x \ 1. [para(1604(a,1),1379(a,1))]. 1609 K(1 / x,K(y,x)) = 1. [hyper(36,a,1607,a)]. 1612 K(x,K(y,x \ 1)) = 1. [para(57(a,1),1609(a,1,1))]. 1613 T(x,K(y,x \ 1)) = x. [hyper(37,a,1612,a)]. 1614 K(x,1) = 1. [para(110(a,1),1612(a,1,2))]. 1615 T(x,1) = x. [hyper(37,a,1614,a)]. 1616 K(x,1) * y != z | y = z. [para(1614(a,2),64(a,1,1))]. 1617 T(1,x) = 1. [hyper(35,a,1615,a)]. 1619 T(x * L(x \ 1,y,z),x) = x * L(x \ 1,y,z). [para(1617(a,1),1105(a,2,2,1,2))]. 1620 T(T(x,y),K(z,x \ 1)) = T(x,y). [para(1613(a,1),38(a,1,1)),flip(a)]. 1621 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(1613(a,1),145(a,1,2,1)),flip(a)]. 1622 (1 / x) \ (x \ 1) = K(x \ 1,x). [hyper(68,a,1608,a)]. 1623 (x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [para(1608(a,1),28(a,2,1)),flip(a)]. 1624 (1 / x) * ((x \ 1) * x) = x \ 1. [para(152(a,1),1608(a,1,2))]. 1625 (x \ 1) * L(y,K(x \ 1,x),1 / x) = (1 / x) * (K(x \ 1,x) * y). [para(1608(a,1),89(a,1,1))]. 1626 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(213(a,1),1608(a,1,2))]. 1627 T(K(x,y \ 1),T(y,z)) = K(x,y \ 1). [hyper(35,a,1620,a)]. 1628 T(T(x,y),z \ T(z,x \ 1)) = T(x,y). [para(748(a,1),1620(a,1,2))]. 1629 (1 / x) * ((x \ 1) * L((x \ 1) \ K(x \ 1,x),y,z)) = ((1 / x) * L((1 / x) \ 1,y,z)) * (x \ 1). [para(1622(a,1),1098(a,1,2,2,1,2))]. 1630 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [para(1624(a,1),743(a,1,1)),flip(a)]. 1631 R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). [para(1606(a,1),553(a,1,1,1))]. 1632 T(T(x,y),a(T(x,z),1 / x,x)) = T(x,y). [para(1452(a,1),1628(a,1,2))]. 1633 (1 / (1 / x)) * (x * (1 / x)) = x. [para(1626(a,2),59(a,1))]. 1634 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1353(a,2),1633(a,1,2))]. 1635 x * L(y,K(x,x \ 1),1 / (1 / x)) = (1 / (1 / x)) * (K(x,x \ 1) * y). [para(1634(a,1),89(a,1,1))]. 1636 T(x,x * L(x \ 1,y,z)) = x. [hyper(35,a,1619,a)]. 1637 K(x,x * L(x \ 1,y,z)) = 1. [hyper(36,a,1636,a)]. 1638 T(x,x * ((y * x) \ y)) = x. [para(123(a,1),1636(a,1,2,2))]. 1639 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(248(a,1),1636(a,1,2,2))]. 1640 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(406(a,1),1636(a,1,2))]. 1641 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(727(a,1),1636(a,1,2))]. 1642 (((x * y) \ x) * y) / ((x * y) \ x) = L(y,(x * y) \ x,y). [para(1638(a,1),466(a,1,1,2))]. 1643 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(827(a,1),1638(a,1,2,2,1))]. 1644 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(1641(a,1),1558(a,1,2,1,1)),flip(a)]. 1645 T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). [para(59(a,1),1639(a,1,2,2))]. 1646 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1639(a,1),955(a,2,2,2))]. 1647 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1640(a,1),518(a,1,1))]. 1648 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(68,a,1630,a)]. 1649 (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). [para(1630(a,2),123(a,1)),flip(a)]. 1650 (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. [para(123(a,1),1649(a,2,2,1)),flip(a)]. 1651 (1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x. [hyper(68,a,1650,a)]. 1652 T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. [hyper(35,a,1645,a)]. 1653 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(248(a,1),1648(a,1,2)),flip(a)]. 1654 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [para(1621(a,1),1367(a,1))]. 1655 T(K(x,y),R(1 / y,z,u)) = K(x,y). [para(1631(a,1),32(a,2))]. 1656 T(K(x,y),z / (y * z)) = K(x,y). [para(125(a,1),1655(a,1,2))]. 1657 T(K(x,y),y \ 1) = K(x,y). [para(1338(a,1),1655(a,1,2))]. 1658 T(x \ 1,K(y,x)) = x \ 1. [hyper(35,a,1657,a)]. 1659 K(x,y) * (z / (y * z)) = (z / (y * z)) * K(x,y). [para(1656(a,1),104(a,1,2)),flip(a)]. 1660 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,1643,a)]. 1661 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(1473,a,1654,a)]. 1662 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1661(a,2),1445(a,1))]. 1663 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(248(a,1),1653(a,1,1)),flip(a)]. 1664 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1663(a,1),14(a,1,2))]. 1665 (1 / ((x * y) \ x)) * ((x \ (x * y)) * ((x * y) \ x)) = y. [para(1664(a,2),13(a,1))]. 1666 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [para(1664(a,1),32(a,2,2))]. 1667 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(13(a,1),1665(a,1,2,1))]. 1668 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [para(1623(a,1),961(a,1)),flip(a)]. 1669 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ ((y \ 1) * (y * x))). [para(315(a,1),1668(a,1,2,2)),flip(a)]. 1670 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [para(1646(a,2),165(a,1))]. 1672 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1670(a,1),714(a,1,1)),flip(a)]. 1673 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [para(1672(a,1),1666(a,1)),flip(a)]. 1674 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(13(a,1),1673(a,1,1,2))]. 1675 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(13(a,1),1674(a,2,2))]. 1676 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(1675(a,1),14(a,1,2))]. 1677 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(1675(a,1),57(a,1,2))]. 1678 L(x \ 1,x,(y * x) \ y) = 1 / x. [para(1675(a,1),123(a,2))]. 1679 L(x \ 1,x,y \ (y / x)) = 1 / x. [para(16(a,1),1678(a,1,3,1))]. 1680 L((x * y) \ x,y,(z * y) \ z) = L(1 / y,y,x). [para(1678(a,1),252(a,1,1)),flip(a)]. 1681 (x \ (x / y)) / (1 / y) = (x \ (x / y)) * y. [para(1679(a,1),253(a,1,2))]. 1682 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(123(a,2),1676(a,1,1,1)),flip(a)]. 1683 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1677(a,1),843(a,2,1,1,2)),flip(a)]. 1684 T(1 / T(x,y),x) / (1 / T(x,y)) = (x \ (x / T(x,y))) * T(x,y). [para(1195(a,2),1681(a,1,1))]. 1685 (L(x \ 1,x,y) * x) * (1 / x) = L(x \ 1,x,y). [para(1682(a,1),123(a,2)),flip(a)]. 1686 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(74,a,1685,a)]. 1687 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(13(a,1),1683(a,1,1,1))]. 1688 T(x,(y * x) \ y) / x = K(x,(y * x) \ y). [hyper(74,a,1687,a)]. 1690 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(648(a,1),1558(a,1)),flip(a)]. 1691 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [para(708(a,1),608(a,1))]. 1692 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(1691(a,1),612(a,1,2))]. 1693 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(769(a,1),853(a,1)),flip(a)]. 1694 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [para(1178(a,2),311(a,1))]. 1695 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(827(a,1),1694(a,2,2))]. 1696 (x \ ((L(y,1 / y,x) * x) / L(y,1 / y,x))) / (x \ 1) = x * (T(y,x) / y). [para(1695(a,1),986(a,2))]. 1697 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(1695(a,1),984(a,1,1)),flip(a)]. 1698 (x \ (x * (T(y,x) / y))) / (x \ 1) = x * (T(y,x) / y). [para(1695(a,1),1696(a,1,1,2))]. 1699 (T(x,y) / x) / (y \ 1) = y * (T(x,y) / x). [para(13(a,1),1698(a,1,1))]. 1701 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1175(a,1),1220(a,1,1))]. 1702 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(903(a,1),1701(a,1,1))]. 1703 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1218(a,1),1702(a,1,2))]. 1704 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1703(a,1),40(a,2))]. 1705 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1215(a,1),1704(a,1,1))]. 1706 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [para(1705(a,1),903(a,2))]. 1707 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(1705(a,1),1547(a,1,2))]. 1708 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1706(a,1),1223(a,1))]. 1709 T((x * y) / x,(1 / (1 / y)) * x) = L(y,x,1 / (1 / y)). [para(1344(a,1),1345(a,1,1))]. 1710 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. [para(1426(a,2),335(a,1))]. 1711 x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. [para(1710(a,1),676(a,1)),flip(a)]. 1712 x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(1382(a,1),1711(a,1,2,2,1,2))]. 1713 x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(212(a,1),1712(a,1,2,2,1))]. 1714 (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). [para(145(a,1),1713(a,1,2)),flip(a)]. 1715 T(x,L(x \ 1,y,z) * x) = x. [hyper(131,a,1714,a)]. 1716 T(x \ y,(y \ x) * (x \ y)) = x \ y. [para(248(a,1),1715(a,1,2,1))]. 1717 T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). [para(59(a,1),1716(a,1,2,1))]. 1718 R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). [para(1717(a,1),518(a,1,1))]. 1719 T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). [para(1718(a,1),805(a,1,1))]. 1720 T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). [para(1652(a,1),1719(a,1,2))]. 1721 T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). [para(1720(a,1),143(a,1)),flip(a)]. 1722 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). [para(775(a,1),1721(a,1,2,1)),flip(a)]. 1723 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). [para(148(a,1),1722(a,2,2))]. 1724 T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). [para(775(a,1),1723(a,1,2))]. 1725 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(517(a,1),1693(a,1,2)),flip(a)]. 1726 T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. [para(1725(a,2),1424(a,1,2))]. 1727 T(x,x \ y) \ R(T(x,x \ y),z,u) = T(x,x \ y) \ R((x \ y) \ y,z,u). [para(725(a,2),718(a,1)),flip(a)]. 1728 T(x,x \ y) \ R(T(x,x \ y),z,u) = ((x \ y) \ y) \ R((x \ y) \ y,z,u). [para(105(a,1),1727(a,2,1))]. 1729 x \ ((y * x) * L((y * x) \ z,u,w)) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(32(a,2),1093(a,1,2,1,1)),flip(a)]. 1730 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(676(a,1),1729(a,1,2))]. 1731 T(x,y) * L(T(x,y) \ (y \ z),u,w) = T(x * L(x \ (z / y),u,w),y). [para(1730(a,1),1097(a,1))]. 1732 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [para(13(a,1),1731(a,1,2,1,2)),flip(a)]. 1733 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [para(15(a,1),1732(a,1,1,2,1,2)),flip(a)]. 1734 T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). [para(127(a,1),1732(a,1,1,2,1,2)),flip(a)]. 1735 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [para(1617(a,1),1734(a,1,2,1,2))]. 1736 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(1735(a,1),19(a,1))]. 1737 T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). [para(316(a,1),1735(a,2,1,2))]. 1738 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ (y * 1)). [para(322(a,1),1735(a,1,2)),flip(a)]. 1739 T(x,y) * ((T(x,y) / x) \ ((1 / x) * 1)) = T(x * L(x \ 1,T(x,y),1 / x),y). [para(832(a,1),1735(a,1,2))]. 1740 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [para(12(a,1),1738(a,2,2,2))]. 1741 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(12(a,1),1739(a,1,2,2)),flip(a)]. 1742 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(727(a,1),1140(a,1,2,1)),flip(a)]. 1743 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(17,a,169,a,b,1742,a)]. 1744 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(1743(a,1),19(a,1))]. 1745 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(32(a,2),1165(a,1,1,2,2,1,2)),flip(a)]. 1746 (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / K(y,y \ 1),z) * K(y,y \ 1). [para(1353(a,2),1366(a,2,1,1,2))]. 1747 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * L(x,x \ 1,x),x). [para(1399(a,1),1403(a,1,2,2))]. 1748 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(716(a,1),1519(a,1,2,1)),flip(a)]. 1749 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(17,a,169,a,b,1748,a)]. 1750 (x \ 1) \ ((x \ R(x,y,z)) \ (x \ 1)) = (x \ R(x,y,z)) \ 1. [hyper(68,a,1749,a)]. 1751 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1531(a,1),1532(a,1,2)),flip(a)]. 1752 (x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)) = x \ 1. [hyper(17,a,181,a(flip),b,1751,a),flip(a)]. 1754 (x * K(y,x)) \ (L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x)) = x \ 1. [para(759(a,2),1752(a,1,1,2))]. 1755 (x * K(y,x)) \ K(y,x) = x \ 1. [para(759(a,2),1754(a,1,2))]. 1756 (x * K(y,x)) * (x \ 1) = K(y,x). [para(1755(a,1),14(a,1,2))]. 1757 K(x,y) / (y \ 1) = y * K(x,y). [para(1755(a,1),57(a,1,2))]. 1758 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,z)). [para(1757(a,1),601(a,1,1)),flip(a)]. 1759 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(842(a,2),1660(a,2,2,1))]. 1760 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1430(a,1),1662(a,1,1))]. 1761 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(688(a,1),1760(a,1,2))]. 1762 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * (y * x). [para(13(a,1),1669(a,2,2))]. 1764 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = L(x,y,1 / y). [para(1762(a,2),300(a,1))]. 1765 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(1695(a,1),1697(a,1,2,1)),flip(a)]. 1766 (T((x / (1 / y)) / y,z) * y) * (1 / y) = K(y,y \ 1) * T(K(y,y \ 1) \ x,z). [para(1746(a,2),281(a,1))]. 1767 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [para(474(a,2),334(a,1))]. 1768 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [para(1767(a,1),591(a,1)),flip(a)]. 1769 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(104(a,1),1768(a,1,2)),flip(a)]. 1770 T(R(x / y,y,x \ z),u) * (y * (x \ z)) = y * ((x \ z) * T((x \ z) \ (y \ z),u)). [para(497(a,2),592(a,1))]. 1771 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [para(952(a,1),591(a,1))]. 1772 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(480(a,1),1771(a,2,2))]. 1773 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(306,a,1772,a)]. 1774 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(55(a,1),1773(a,2,1,2))]. 1775 K(x \ (x / L(x,y,z)),x) = L((x \ 1) * x,y,z). [para(104(a,1),1773(a,1,1)),flip(a)]. 1776 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(642(a,1),1773(a,1,1))]. 1777 K(x \ (x / L(x,y,z)),x) = L(K(x \ 1,x),y,z). [para(152(a,2),1775(a,2,1))]. 1778 K(T(1 / L(x,y,z),x),x) = L(K(x \ 1,x),y,z). [para(1032(a,2),1777(a,1,1))]. 1779 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),1776(a,2,1,2))]. 1780 K(x,x \ 1) \ (L(y,x,K(x,x \ 1)) * ((x \ 1) \ 1)) = x * T(y,(x \ 1) \ 1). [para(1350(a,1),1375(a,1,2,1,3))]. 1781 T(T(x,x \ 1),y) / T(T(x,y),a(T(x,y),1 / x,x)) = a(T(x,y),1 / x,x). [para(1453(a,2),1332(a,1))]. 1782 T(T(x,x \ 1),y) / T(x,y) = a(T(x,y),1 / x,x). [para(1632(a,1),1781(a,1,2))]. 1784 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (T(y / x,u) * x) * (y \ z). [para(1770(a,1),334(a,1))]. 1785 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(281(a,1),1784(a,2,1))]. 1786 (x * T(x \ (y / z),u)) * ((y / z) \ y) = x * (z * T(((y / z) \ y) \ (x \ y),u)). [para(59(a,1),1785(a,1,2,1)),flip(a)]. 1787 (x * T(x \ (y / z),u)) * ((y / z) \ y) = x * (z * T(z \ (x \ y),u)). [para(59(a,1),1786(a,2,2,2,1,1))]. 1788 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(59(a,1),1787(a,1,2))]. 1789 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [para(15(a,1),1788(a,1,1,2,1,2)),flip(a)]. 1790 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [para(55(a,1),1788(a,1,1,2,1,2)),flip(a)]. 1791 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(104(a,1),1788(a,1,1)),flip(a)]. 1792 (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). [para(281(a,2),1788(a,1,1))]. 1793 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(604(a,1),1788(a,1,1)),flip(a)]. 1794 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(711(a,2),1788(a,1,1))]. 1795 (x * T(x \ 1,y)) * x = x * (x * T(x \ 1,y)). [para(49(a,1),1790(a,1,2,2,1,2)),flip(a)]. 1796 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(104(a,1),1790(a,1,2)),flip(a)]. 1797 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(1790(a,1),592(a,2))]. 1798 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = ((x \ 1) * T((x \ 1) \ 1,y)) * z. [para(786(a,2),1790(a,1,2))]. 1799 T(x,x * T(x \ 1,y)) = x. [hyper(131,a,1795,a)]. 1800 (R(x,y,z) * (x * T(x \ 1,u))) / R(x,y,z) = x * T(x \ 1,u). [para(1799(a,1),160(a,1,2,1))]. 1801 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1799(a,1),521(a,1,1))]. 1802 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(284(a,1),1799(a,1,2))]. 1803 T(x \ 1,x \ T(x,y)) = x \ 1. [para(642(a,1),1799(a,1,2))]. 1804 T(1 / x,T(x,y) / x) = 1 / x. [para(840(a,1),1799(a,1,2))]. 1805 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(35,a,1803,a)]. 1806 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1804(a,1),290(a,1,1,2)),flip(a)]. 1807 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1802(a,1),518(a,1,1))]. 1808 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1805(a,1),485(a,1,1)),flip(a)]. 1809 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1807(a,1),1690(a,1,1,2)),flip(a)]. 1810 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [para(1796(a,1),104(a,2))]. 1811 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y). [para(1651(a,1),1796(a,2,2,1,2)),flip(a)]. 1812 T((x * y) \ (y * x),y \ 1) = (x * y) \ (y * x). [para(1808(a,2),278(a,1))]. 1813 K(x,y) = T((y * x) \ (x * y),x \ 1). [para(1812(a,2),26(a,2))]. 1814 T(K(x,y),x \ 1) = K(x,y). [para(26(a,2),1813(a,2,1)),flip(a)]. 1815 T(x \ 1,K(x,y)) = x \ 1. [hyper(35,a,1814,a)]. 1816 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [para(1814(a,1),104(a,1,2)),flip(a)]. 1817 T(T(x \ 1,y),K(x,z)) = T(x \ 1,y). [para(1815(a,1),38(a,1,1)),flip(a)]. 1819 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1815(a,1),250(a,2,1))]. 1820 T((x * y) \ x,K(y,z)) = (x * y) \ x. [para(1819(a,2),123(a,1))]. 1821 T(K(x,y),(z * x) \ z) = K(x,y). [hyper(35,a,1820,a)]. 1822 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [para(13(a,1),1791(a,1,2,2,1,2)),flip(a)]. 1823 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(49(a,1),1791(a,1,2,2,1,2)),flip(a)]. 1824 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(763(a,2),1791(a,1,2)),flip(a)]. 1825 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [para(1791(a,1),592(a,2))]. 1826 ((x \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(125(a,2),1823(a,1,1,1,2))]. 1827 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1797(a,1),956(a,2,2))]. 1828 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [para(1806(a,1),833(a,1))]. 1829 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(127(a,1),1822(a,1,1,1,2)),flip(a)]. 1830 x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. [para(104(a,1),1829(a,1,2))]. 1831 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(131,a,1830,a)]. 1832 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(74,a,1831,a(flip))]. 1833 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [para(1831(a,2),83(a,1,2))]. 1834 T(x * y,y) / y = y \ T(y * x,y). [para(13(a,1),1832(a,1,1,1,1))]. 1835 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1832(a,2),14(a,1,2))]. 1836 x \ T(x * (y / x),x) = T(y,x) / x. [para(60(a,1),1832(a,1,1,1)),flip(a)]. 1837 x * (T(y * x,x) / x) = T(x * y,x). [para(1834(a,2),14(a,1,2))]. 1838 T(x * (y / x),x) = x * (T(y,x) / x). [para(60(a,1),1835(a,1,2,1,1)),flip(a)]. 1839 T(x,y) \ T(T(x * ((T(x,y) * (x \ 1)) / T(x,y)),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). [para(1586(a,1),1836(a,1,2,1))]. 1840 (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(718(a,1),1837(a,1,2,1,1))]. 1841 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(824(a,1),1837(a,1,2)),flip(a)]. 1842 x * ((1 / x) * T((1 / x) \ y,x)) = T(x * y,x). [para(826(a,2),1837(a,1,2))]. 1843 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1295(a,1),1838(a,2,2,1))]. 1844 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(13(a,1),1833(a,1,2,1,1))]. 1845 T(x * (y * (1 / x)),x) = x * (T(y,x) * (1 / x)). [para(279(a,1),1842(a,1,2)),flip(a)]. 1846 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(55(a,1),1824(a,1,1,1,2)),flip(a)]. 1848 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(152(a,2),1846(a,2,1))]. 1849 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(13(a,1),1848(a,1,2,2)),flip(a)]. 1850 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(32(a,2),1848(a,1,2,2))]. 1851 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1432(a,1),1848(a,1,2,1))]. 1852 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1849(a,1),139(a,1,2))]. 1853 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(1827(a,2),14(a,1,2)),flip(a)]. 1854 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [para(1827(a,2),32(a,2))]. 1855 K(x \ (x / T(x,y)),x) = T((x \ 1) * x,y). [para(104(a,1),1854(a,1,1)),flip(a)]. 1856 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(642(a,1),1854(a,1,1))]. 1857 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [para(1854(a,2),745(a,1)),flip(a)]. 1858 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [para(1854(a,2),746(a,1,2))]. 1859 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(759(a,2),1854(a,1,1)),flip(a)]. 1860 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(152(a,2),1855(a,2,1))]. 1861 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1320(a,1),1856(a,2,1,2,2))]. 1862 T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). [para(105(a,1),1859(a,1,1,2,2)),flip(a)]. 1863 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [para(1857(a,1),104(a,1))]. 1865 (x \ (x / T(x,y))) * T(x,y) = T(x * T(x \ 1,x),y). [para(1857(a,1),1203(a,1)),flip(a)]. 1866 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(1658(a,1),1857(a,1,1)),flip(a)]. 1867 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1803(a,1),1858(a,1,2,1,2)),flip(a)]. 1868 (x \ (x / T(x,y))) * T(x,y) = T((x \ 1) * x,y). [para(104(a,1),1865(a,2,1))]. 1869 (x \ (x / T(x,y))) * T(x,y) = T(K(x \ 1,x),y). [para(152(a,2),1868(a,2,1))]. 1870 T(1 / T(x,y),x) / (1 / T(x,y)) = T(K(x \ 1,x),y). [para(1869(a,1),1684(a,2))]. 1871 K(x \ (x / (1 / (1 / T(x,y)))),x) = T(K(x \ 1,x),y). [para(1870(a,1),842(a,2))]. 1872 T(K(x \ 1,x),y) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(1871(a,1),1204(a,1,1))]. 1874 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1828(a,1),444(a,1,1))]. 1876 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(131,a,1789,a),flip(a)]. 1877 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [para(49(a,1),1789(a,1,2,2,1,2)),flip(a)]. 1878 (x \ 1) * (y * T(y \ ((x \ 1) \ (K(x \ 1,x) * y)),z)) = ((x \ 1) * T(x,z)) * y. [para(208(a,1),1789(a,2,1,2,1))]. 1879 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(91(a,2),1789(a,1,2,2,1,2)),flip(a)]. 1880 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(1789(a,1),592(a,2))]. 1881 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [para(1789(a,1),1841(a,2))]. 1882 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(32(a,2),1876(a,1,2,1,2)),flip(a)]. 1883 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(68,a,1882,a(flip))]. 1884 (x \ 1) * T((x \ 1) \ T(K(x \ 1,x),x \ 1),y) = T((x \ 1) * T(x,y),x \ 1). [para(208(a,1),1882(a,1,1,2,1)),flip(a)]. 1885 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(13(a,1),1883(a,1,2,1,2,1))]. 1886 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1792(a,1),1766(a,1)),flip(a)]. 1887 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(49(a,1),1794(a,2,2,2,1,2))]. 1889 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(104(a,1),1887(a,2,2))]. 1890 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(152(a,2),1889(a,2,2))]. 1891 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(556(a,1),1890(a,1,1,1))]. 1892 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [para(1861(a,2),1856(a,2)),flip(a)]. 1893 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(1892(a,1),485(a,1,1)),flip(a)]. 1894 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(14(a,1),1867(a,2,2,1))]. 1896 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(1617(a,1),1894(a,2,2))]. 1897 T(x \ T(x,y),T(x,z) \ 1) = x \ T(x,y). [hyper(35,a,1896,a)]. 1899 K(x \ T(x,y),T(x,z) \ 1) = 1. [hyper(36,a,1897,a)]. 1900 (x * T(x \ (x * y),z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(1283(a,1),1880(a,1,2,1)),flip(a)]. 1901 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1880(a,1),1159(a,2,1))]. 1902 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(286(a,1),1801(a,1,2)),flip(a)]. 1903 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(286(a,1),1902(a,1,2)),flip(a)]. 1904 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1903(a,1),46(a,1,1)),flip(a)]. 1905 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1903(a,1),803(a,1,1))]. 1906 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [para(1874(a,1),149(a,1))]. 1907 L(x \ 1,T(x,y),1 / x) = (x \ T(x,y)) / T(x,y). [para(646(a,1),1906(a,1,1)),flip(a)]. 1908 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [para(1893(a,2),485(a,1))]. 1909 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(26(a,2),1908(a,2,1))]. 1910 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(26(a,2),1909(a,1,1))]. 1911 (x * (R(x,y,z) * T(x \ 1,u))) / R(x,y,z) = x * T(x \ 1,u). [para(789(a,1),1800(a,1,1))]. 1912 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(18,a,1863,a(flip),b,1809,a)]. 1913 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1912(a,1),106(a,1,1))]. 1914 K(x \ T(x,y),(x \ 1) / (x \ T(x,z))) = 1. [para(1912(a,2),1899(a,1,2))]. 1915 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [para(1913(a,1),1896(a,1))]. 1916 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(484(a,1),1915(a,1,1))]. 1918 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(59(a,1),1916(a,1,2))]. 1919 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(1918(a,1),57(a,1,2))]. 1920 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(745(a,2),1918(a,1,1))]. 1921 (x * T(y,z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(13(a,1),1900(a,1,1,2,1))]. 1922 (x * T(y,z)) / R(y,u,w) = (x / R(y,u,w)) * T(y,z). [hyper(18,a,180,a,b,1921,a),flip(a)]. 1923 (x / R(y,z,u)) * T(y,x) = (y * x) / R(y,z,u). [para(104(a,1),1922(a,1,1)),flip(a)]. 1924 T(x,y) \ ((x * y) / R(x,z,u)) = T(y / R(x,z,u),T(x,y)). [para(1923(a,1),32(a,2,2)),flip(a)]. 1925 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(148(a,1),1905(a,1,2))]. 1926 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(104(a,1),1911(a,1,1,2))]. 1927 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(153(a,1),1926(a,1,1))]. 1928 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1402(a,1),1927(a,1,1))]. 1929 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(419(a,1),1843(a,2,2))]. 1930 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(419(a,1),1929(a,1,1,2))]. 1931 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(125(a,1),1930(a,1,1,2))]. 1932 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(125(a,1),1931(a,2,2))]. 1933 T(x,x * (y / (x * y))) = x. [hyper(35,a,1932,a)]. 1934 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [para(1932(a,1),1506(a,2))]. 1935 T(x,x * ((x \ y) / y)) = x. [para(14(a,1),1933(a,1,2,2,2))]. 1936 T(x / y,(x / y) * (y / x)) = x / y. [para(16(a,1),1933(a,1,2,2,2))]. 1937 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1935(a,1),195(a,1,1)),flip(a)]. 1938 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1936(a,1),148(a,1,1)),flip(a)]. 1939 T(x \ y,(y / x) * (x / y)) = x \ y. [para(1938(a,2),106(a,1))]. 1940 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1939(a,1),1158(a,2,1,2))]. 1941 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1937(a,1),1158(a,2,1,2))]. 1942 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1432(a,1),1851(a,2,1))]. 1943 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(68,a,1942,a)]. 1945 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(14(a,1),1940(a,2,1))]. 1946 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [para(1945(a,2),55(a,1))]. 1948 L(T(x,y),y,K(x \ 1,x)) = T(x,K(x \ 1,x) * y). [para(1852(a,1),32(a,2)),flip(a)]. 1949 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(1508(a,1),1891(a,1,1))]. 1950 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1797(a,1),1901(a,2,1,1))]. 1951 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [para(1950(a,2),30(a,2))]. 1952 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(55(a,1),1951(a,2,1,2))]. 1953 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(722(a,1),1951(a,2,1,2))]. 1954 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [para(1951(a,2),745(a,1)),flip(a)]. 1955 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. [para(1952(a,1),100(a,1,1))]. 1957 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(1949(a,1),1143(a,1)),flip(a)]. 1958 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(152(a,2),1957(a,1,1))]. 1959 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [para(1958(a,1),1761(a,1))]. 1960 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [para(1959(a,2),1686(a,1))]. 1961 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(18,a,1949,a,b,1960,a(flip)),flip(a)]. 1962 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [para(1961(a,2),123(a,1)),flip(a)]. 1963 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(123(a,1),1962(a,2,2,2)),flip(a)]. 1964 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(68,a,1963,a)]. 1965 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [para(1964(a,1),168(a,1,2))]. 1966 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(1964(a,1),171(a,1,1))]. 1967 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(771,a,1965,a(flip))]. 1968 T(1 / (1 / x),(y * x) \ y) / 1 = x. [para(1967(a,1),1726(a,1,2))]. 1969 T(1 / (1 / x),(y * x) \ y) = x. [para(1968(a,1),56(a,1)),flip(a)]. 1971 (((x * y) \ x) * y) / ((x * y) \ x) = 1 / (1 / y). [para(1969(a,1),127(a,1,1,2))]. 1972 T(x,(y * x) \ y) = T(x,x \ 1). [para(1969(a,1),1341(a,1,1)),flip(a)]. 1973 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(82(a,1),1972(a,1,2,1))]. 1974 T(x,(y * x) \ y) = (x \ 1) \ 1. [para(1972(a,2),105(a,1))]. 1975 T(x,L(x \ 1,x,y)) = T(x,x \ 1). [para(123(a,2),1972(a,1,2))]. 1976 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(14(a,1),1974(a,1,2,1))]. 1977 T(x,L(x \ 1,x,y)) = (x \ 1) \ 1. [para(123(a,2),1974(a,1,2))]. 1978 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [para(1974(a,1),1688(a,1,1)),flip(a)]. 1979 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(59(a,1),1976(a,1,2))]. 1980 (x \ y) * (((y \ x) \ 1) \ 1) = (y \ x) * (x \ y). [para(1976(a,1),104(a,1,2))]. 1981 T(x * y,x \ (1 / y)) / y = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(1976(a,1),826(a,1,2)),flip(a)]. 1982 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(1976(a,1),953(a,1,2)),flip(a)]. 1983 T(x \ y,y \ x) \ 1 = T((x \ y) \ 1,x \ y). [para(1976(a,2),1317(a,2,1)),flip(a)]. 1984 K(x,(y * x) \ y) = K(x,x \ 1). [para(1978(a,2),1350(a,1))]. 1986 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(14(a,1),1984(a,1,2,1)),flip(a)]. 1987 K(T(x,y),T(x,y) \ 1) = K(T(x,y),(x * y) \ y). [para(104(a,1),1984(a,1,2,1)),flip(a)]. 1988 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(910(a,2),1984(a,1,2,1))]. 1989 x * (((y \ (y / x)) \ 1) \ 1) = (y \ (y / x)) * x. [para(1979(a,1),104(a,1,2))]. 1990 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * (y * T(y \ (x \ x),y)). [para(1979(a,1),1788(a,1,1,2))]. 1991 (x \ y) \ K(x \ y,y \ x) = 1 / (x \ y). [para(1986(a,1),1354(a,1,2))]. 1992 L(x,(y * x) \ y,x) = 1 / (1 / x). [para(1971(a,1),1642(a,1)),flip(a)]. 1993 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [para(14(a,1),1992(a,1,2,1))]. 1995 L((x * y) \ x,y,(x * y) \ x) = 1 / (1 / ((x * y) \ x)). [para(13(a,1),1993(a,1,2))]. 1996 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(26(a,2),1973(a,1,2)),flip(a)]. 1997 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [para(1996(a,1),105(a,1))]. 1998 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(1995(a,1),1680(a,1)),flip(a)]. 1999 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(14(a,1),1998(a,2,2,2,1))]. 2000 L(1 / x,x,y / x) = 1 / (1 / (y \ (y / x))). [para(16(a,1),1998(a,2,2,2,1))]. 2001 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(57(a,1),1998(a,1,1))]. 2002 L(1 / x,x,y) \ 1 = 1 / ((y * x) \ y). [para(1998(a,2),59(a,1,1))]. 2003 1 / (1 / L(x \ 1,x,y)) = L(1 / x,x,y). [para(123(a,2),1998(a,2,2,2)),flip(a)]. 2005 1 / L(x \ 1,x,y) = L(1 / x,x,y) \ 1. [para(123(a,2),2002(a,2,2)),flip(a)]. 2006 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ L(1 / x,x,y). [para(2003(a,1),1396(a,2,2))]. 2007 (L(1 / x,x,y) \ 1) \ 1 = L(x \ 1,x,y). [para(2005(a,1),59(a,1,1))]. 2008 L(T(x,x \ 1) \ 1,T(x,x \ 1),y) = (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1. [para(159(a,1),2007(a,1,1,1,1)),flip(a)]. 2009 x * ((x \ y) * (1 / (x \ y))) = y * (1 / (1 / (y \ x))). [para(1999(a,1),304(a,1,2)),flip(a)]. 2010 x \ ((x / y) * K(y,y \ 1)) = 1 / (1 / (x \ (x / y))). [para(2000(a,1),1362(a,2))]. 2011 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(1353(a,2),2009(a,1,2))]. 2012 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2010(a,1),14(a,1,2)),flip(a)]. 2013 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(1986(a,1),2011(a,1,2))]. 2014 x \ (y * K(y \ x,x \ y)) = 1 / (1 / (x \ y)). [hyper(68,a,2013,a(flip))]. 2016 L(x \ (1 / (1 / (y \ (y * x)))),x,y) = K((y * x) \ y,y \ (y * x)). [para(2014(a,1),302(a,1,1,2))]. 2017 K((x / y) \ x,x \ (x / y)) = K(y,y \ 1). [hyper(17,a,2013,a,b,2012,a),flip(a)]. 2018 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(1174(a,1),1988(a,1,2))]. 2019 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [para(2018(a,2),1986(a,1))]. 2020 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(154(a,1),1966(a,2,1))]. 2021 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * (y * T(y \ 1,y)). [para(49(a,1),1990(a,2,2,2,1,2))]. 2023 L(x \ (1 / (1 / x)),x,y) = K((y * x) \ y,y \ (y * x)). [para(13(a,1),2016(a,1,1,2,2,2))]. 2024 L(K(x \ 1,x),x,y) = K((y * x) \ y,y \ (y * x)). [para(1382(a,1),2023(a,1,1))]. 2025 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(642(a,1),1798(a,2,1))]. 2026 (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). [hyper(17,a,186,a,b,2025,a)]. 2027 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(129(a,1),1941(a,2,1))]. 2028 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [para(2027(a,2),55(a,1))]. 2030 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(2028(a,1),714(a,1,1)),flip(a)]. 2031 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [para(2030(a,1),1012(a,1)),flip(a)]. 2032 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(59(a,1),2031(a,1,1,2,1))]. 2033 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(59(a,1),2032(a,2,2,1))]. 2034 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(2033(a,1),14(a,1,2))]. 2035 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(2033(a,1),1946(a,1,1))]. 2036 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(15(a,1),2035(a,1,1,2))]. 2037 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(18,a,230,a(flip),b,2034,a)]. 2038 K(1 / x,(y / (x * y)) * x) = 1. [para(15(a,1),2036(a,1,2,2))]. 2039 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(37,a,2038,a)]. 2040 L(x \ 1,x,y / (x * y)) = 1 / x. [para(2039(a,1),1056(a,1)),flip(a)]. 2041 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(125(a,2),2040(a,1,3))]. 2042 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(2040(a,1),247(a,1,2))]. 2044 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(2041(a,1),253(a,1,2))]. 2045 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(2042(a,1),1497(a,1,2))]. 2046 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(2045(a,1),14(a,1,2)),flip(a)]. 2048 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(777,a,2044,a)]. 2049 T(1 / (1 / (x / y)),y / x) = x / y. [para(258(a,1),2048(a,1,2))]. 2050 T(x,R(1 / x,x,y)) = T(x,x \ 1). [para(2048(a,1),1341(a,1,1)),flip(a)]. 2051 T(T(x,y),R(1 / x,x,z)) = T(T(x,x \ 1),y). [para(2050(a,1),38(a,1,1)),flip(a)]. 2052 T(x,y / (x * y)) = T(x,x \ 1). [para(125(a,1),2050(a,1,2))]. 2053 T(x,(x \ y) / y) = T(x,x \ 1). [para(257(a,1),2050(a,1,2))]. 2054 x * K(x,1 / x) = T(x,x \ 1). [para(2050(a,1),1131(a,1)),flip(a)]. 2055 T(x,y / (x * y)) = (x \ 1) \ 1. [para(2052(a,2),105(a,1))]. 2056 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(2052(a,1),1161(a,2,1))]. 2057 ((x \ y) / y) * T(x,x \ 1) = x * ((x \ y) / y). [para(2053(a,1),104(a,1,2))]. 2058 x \ T(x,x \ 1) = K(x,1 / x). [hyper(68,a,2054,a)]. 2059 x * K(x,1 / x) = (x \ 1) \ 1. [para(2054(a,2),105(a,1))]. 2060 x * K(x,x \ 1) = T(x,x \ 1). [para(1351(a,1),2054(a,1,2))]. 2061 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(16(a,1),2055(a,1,2,2))]. 2062 x \ ((x \ 1) \ 1) = K(x,1 / x). [para(105(a,1),2058(a,1,2))]. 2063 x \ T(x,x \ 1) = K(x,x \ 1). [para(2058(a,2),1351(a,1))]. 2064 x * K(x,x \ 1) = (x \ 1) \ 1. [para(1351(a,1),2059(a,1,2))]. 2065 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = R(x,K(x,x \ 1),y). [para(2060(a,1),30(a,2,1,1)),flip(a)]. 2066 T(x,x \ 1) * L(y,K(x,x \ 1),x) = x * (K(x,x \ 1) * y). [para(2060(a,1),89(a,1,1))]. 2067 x \ (x \ ((x \ 1) \ 1)) = 1 / x. [para(2062(a,2),222(a,1,2))]. 2068 x \ (T(x,y) \ ((x \ 1) \ 1)) = T(x,y) \ K(x,1 / x). [para(2062(a,1),895(a,1,2)),flip(a)]. 2069 x \ ((x \ 1) \ 1) = K(x,x \ 1). [para(2062(a,2),1351(a,1))]. 2070 x \ T(x,y / (x * y)) = K(x,x \ 1). [para(2052(a,2),2063(a,1,2))]. 2072 ((x / y) * (y / x)) / (x / y) = 1 / (1 / (y / x)). [para(2049(a,1),127(a,1,1,2))]. 2073 (x / y) * (((y / x) \ 1) \ 1) = (y / x) * (x / y). [para(2061(a,1),104(a,1,2))]. 2074 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(2061(a,1),283(a,1,1))]. 2075 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(15(a,1),2037(a,1,1)),flip(a)]. 2076 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(2075(a,1),844(a,1,1,2))]. 2077 x \ (T(x,y) \ ((x \ 1) \ 1)) = x * (T(x,y) \ (1 / x)). [para(2068(a,2),896(a,1))]. 2078 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(821,a,2074,a)]. 2079 ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) = x * (T(x,y) \ (1 / x)). [para(2077(a,1),1079(a,2))]. 2080 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(1498,a,2066,a),flip(a)]. 2081 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(1 / y,y),1 / y). [para(59(a,1),2080(a,1,2,2)),flip(a)]. 2082 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(1430(a,1),2080(a,1,2)),flip(a)]. 2083 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [para(13(a,1),2076(a,1,1)),flip(a)]. 2085 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [para(2083(a,1),16(a,1,1))]. 2088 L(x,1 / (1 / y),K(1 / (1 / y),(1 / (1 / y)) \ 1)) = L(x,K(y,y \ 1),1 / (1 / y)). [para(1436(a,1),2081(a,2,2))]. 2089 L(x,K(y \ 1,y),1 / y) = L(x,1 / y,K(y \ 1,y)). [para(1430(a,1),2082(a,1,3)),flip(a)]. 2090 L(L(x,y,y \ 1),1 / y,K(y \ 1,y)) = L(x,y,1 / y). [para(2089(a,1),1764(a,1))]. 2091 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,T(x,x \ 1),y) \ 1) \ 1. [para(1315(a,1),2008(a,1,1))]. 2092 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(480(a,1),1879(a,1,1)),flip(a)]. 2093 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,u))) * z. [para(1756(a,1),2092(a,1,1))]. 2094 (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1313(a,1),1840(a,1,2,1))]. 2095 T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). [para(719(a,1),2094(a,1,2)),flip(a)]. 2096 T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). [para(2095(a,1),1454(a,1,2))]. 2097 T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). [para(2096(a,1),143(a,1)),flip(a)]. 2098 R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). [para(2097(a,1),42(a,2))]. 2099 R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(2098(a,2),42(a,2)),flip(a)]. 2100 R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(1724(a,2),2099(a,1,1))]. 2101 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(1658(a,1),1866(a,2,2,1,1))]. 2102 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [para(2101(a,2),642(a,1))]. 2104 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(642(a,1),2102(a,1,1))]. 2105 T(K(x,y),y \ T(y,z)) = K(x,y). [hyper(35,a,2104,a)]. 2106 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [para(2104(a,1),485(a,1,1)),flip(a)]. 2107 K(K(x,y),y \ T(y,z)) = 1. [hyper(36,a,2105,a)]. 2108 K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. [para(1070(a,1),2107(a,1,2,2))]. 2109 K(K(x,y),T(T(z,y) \ z,y)) = 1. [para(32(a,2),2108(a,1,2))]. 2110 T((x * y) \ (y * x),K(z,y)) = (x * y) \ (y * x). [para(2106(a,2),278(a,1))]. 2111 T((x * y) \ (y * x),K(z,y)) = K(y,x). [para(2110(a,2),26(a,2)),flip(a)]. 2112 T(K(x,y),K(z,x)) = K(x,y). [para(26(a,2),2111(a,1,1))]. 2113 T(K(x,y),K(y,z)) = K(x,y). [hyper(35,a,2112,a)]. 2114 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2112(a,1),104(a,1,2)),flip(a)]. 2115 K(x,y) * K(y,z) != u * K(x,y) | K(y,z) = u. [para(2112(a,1),133(a,1,2)),flip(b)]. 2116 T(K(x,y),z) * K(u,x) = K(u,x) * T(K(x,y),z). [para(2112(a,1),144(a,1,2,1)),flip(a)]. 2117 L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). [para(2112(a,1),145(a,1,2,1)),flip(a)]. 2118 R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). [para(2112(a,1),146(a,1,2,1)),flip(a)]. 2119 (K(x,y) \ 1) \ 1 = K(x,y). [para(2112(a,1),1997(a,1)),flip(a)]. 2121 T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). [para(2113(a,1),144(a,1,2,1)),flip(a)]. 2122 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2113(a,1),145(a,1,2,1)),flip(a)]. 2123 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2113(a,1),146(a,1,2,1)),flip(a)]. 2124 1 / K(x,y) = K(x,y) \ 1. [para(2119(a,1),57(a,1,2))]. 2127 1 / (1 / K(x,y)) = K(x,y). [para(2124(a,2),57(a,1,2))]. 2128 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(2114(a,1),408(a,1,2,2))]. 2129 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(54(a,1),1881(a,1,1)),flip(a)]. 2130 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(104(a,1),2129(a,1,1))]. 2132 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(13(a,1),2130(a,1,1,1)),flip(a)]. 2133 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2130(a,1),20(a,1))]. 2134 T(x * (1 / (y \ 1)),y \ 1) = (((y \ 1) \ x) * (y \ 1)) * y. [para(57(a,1),2130(a,1,2)),flip(a)]. 2135 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2132(a,2),20(a,1))]. 2136 (((x \ 1) \ y) * (x \ 1)) * x = T(y * x,x \ 1). [para(57(a,1),2134(a,1,1,2)),flip(a)]. 2138 T(((x \ 1) \ y) * (x \ 1),x) = x \ T(y * x,x \ 1). [para(2136(a,1),32(a,2,2))]. 2139 T((x \ y) * x,x \ 1) = (x \ T(y,x \ 1)) * x. [para(654(a,1),2136(a,1,1)),flip(a)]. 2140 (x \ T(y / (x \ 1),x \ 1)) * x = T(T(y,x) / (x \ 1),x \ 1). [para(666(a,1),2139(a,1,1)),flip(a)]. 2141 T(T(x,y) / (y \ 1),y \ 1) = (y \ ((y \ 1) \ x)) * y. [para(106(a,1),2140(a,1,1,2)),flip(a)]. 2142 (x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x). [para(2141(a,1),106(a,1))]. 2143 (x \ 1) \ T((x \ 1) * y,x) = (x \ y) * x. [para(13(a,1),2142(a,1,1,2)),flip(a)]. 2144 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(2143(a,1),14(a,1,2))]. 2145 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(13(a,1),2144(a,1,2,1)),flip(a)]. 2146 T(((x / y) \ 1) * x,x / y) = ((x / y) \ 1) * (y * (x / y)). [para(59(a,1),2144(a,1,2,1)),flip(a)]. 2147 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(83(a,1),2144(a,1,2,1)),flip(a)]. 2148 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(2144(a,1),297(a,1,2))]. 2149 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(2145(a,1),104(a,1,2)),flip(a)]. 2150 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [para(2149(a,2),153(a,1))]. 2151 L(x * y,y \ 1,y) / y = (y \ 1) * (y * x). [hyper(74,a,2150,a)]. 2152 (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. [para(16(a,1),2151(a,1,1,1)),flip(a)]. 2153 L(R(x,1 / y,y),y \ 1,y) / y = (y \ 1) * (y * (x * (1 / y))). [para(155(a,1),2151(a,1,1,1))]. 2154 (x \ 1) * (x * (y * (1 / x))) = L(y,x \ 1,x) * (1 / x). [para(2153(a,1),391(a,1))]. 2155 (x \ 1) * (x * (y * (1 / x))) != z * (1 / x) | L(y,x \ 1,x) = z. [para(2154(a,2),20(a,1))]. 2156 (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = T((x \ 1) * T(x,y),x \ 1). [para(1657(a,1),1884(a,1,2,1,2))]. 2157 T((x \ 1) * T(x,y),x \ 1) = (x \ 1) * T(x,y). [para(208(a,1),2156(a,1,2,1)),flip(a)]. 2158 T(x \ 1,(x \ 1) * T(x,y)) = x \ 1. [hyper(35,a,2157,a)]. 2159 T((1 / x) \ 1,((1 / x) \ 1) * T(1 / x,y)) = x. [para(2158(a,2),59(a,1))]. 2160 T(x,((1 / x) \ 1) * T(1 / x,y)) = x. [para(59(a,1),2159(a,1,1))]. 2161 T(x,x * T(1 / x,y)) = x. [para(59(a,1),2160(a,1,2,1))]. 2162 T(x * T(1 / x,y),x) = x * T(1 / x,y). [hyper(35,a,2161,a)]. 2163 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [para(2162(a,1),1925(a,2))]. 2164 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(826(a,1),1886(a,2,2))]. 2165 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [para(2164(a,2),1835(a,1))]. 2166 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(13(a,1),2165(a,1,2,1)),flip(a)]. 2167 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [para(2165(a,1),279(a,1))]. 2168 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2166(a,2),1474(a,1,2))]. 2169 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [hyper(825,a,2167,a),flip(a)]. 2170 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(106(a,1),2167(a,2,1))]. 2171 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [para(2168(a,1),104(a,1)),flip(a)]. 2172 L(x,y,K(x,x \ 1)) = x. [hyper(306,a,2171,a)]. 2173 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1430(a,1),2172(a,1,3))]. 2174 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2173(a,1),40(a,2,1))]. 2175 (1 / K(x,x \ 1)) * T(y,x) = T(((x \ 1) * x) * y,x). [para(203(a,1),2169(a,1,1,1)),flip(a)]. 2176 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(152(a,2),2175(a,2,1,1))]. 2177 T(K(x \ 1,x) * y,x) = ((x \ 1) * x) * T(y,x). [para(203(a,1),2176(a,1,1)),flip(a)]. 2178 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(152(a,2),2177(a,2,1))]. 2179 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2178(a,2),1850(a,1,2))]. 2180 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [para(2179(a,1),104(a,1)),flip(a)]. 2181 L(x,y,K(x \ 1,x)) = x. [hyper(306,a,2180,a)]. 2182 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2181(a,1),40(a,2,1))]. 2183 L(K(x \ 1,x),y,K(x \ 1,x)) = K(T(1 / x,x),x). [para(2181(a,1),1778(a,1,1,1,2)),flip(a)]. 2184 T(x,K(x \ 1,x) * y) = T(x,y). [para(2182(a,1),1948(a,1)),flip(a)]. 2185 T(x,K(x \ 1,x) \ y) = T(x,y). [para(14(a,1),2184(a,1,2)),flip(a)]. 2186 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(678(a,1),2184(a,1,2)),flip(a)]. 2188 T(K(x \ 1,x),K(x \ 1,x) \ y) = K(x \ (x / T(x,y)),x). [para(2185(a,1),1860(a,1,1,2,2)),flip(a)]. 2189 L(K(x \ 1,x),y,K(x \ 1,x)) = K(x \ 1,x). [para(106(a,1),2183(a,2,1))]. 2190 (K(x \ 1,x) * y) * K(x \ 1,x) = K(x \ 1,x) * (y * K(x \ 1,x)). [para(2189(a,1),89(a,1,2))]. 2191 T(K(x \ 1,x),K(x \ 1,x) \ y) = T(K(x \ 1,x),y). [para(2188(a,2),1860(a,1))]. 2192 (K(x \ 1,x) \ y) \ y = T(K(x \ 1,x),y). [para(2191(a,1),105(a,1)),flip(a)]. 2193 T(K((1 / x) \ 1,1 / x),y) = (K(x,x \ 1) \ y) \ y. [para(1361(a,1),2192(a,1,1,1)),flip(a)]. 2194 (K(x,x \ 1) \ y) \ y = T(K(x,x \ 1),y). [para(1361(a,1),2193(a,1,1)),flip(a)]. 2195 (K(x,x \ 1) \ y) * ((y * T(K(x,x \ 1),y)) / y) = T(y,y / (K(x,x \ 1) \ y)). [para(2194(a,1),920(a,1,2,1,2))]. 2196 T(K(x \ 1,x) * y,K(x \ 1,x)) = y * K(x \ 1,x). [hyper(131,a,2190,a(flip))]. 2197 T(x,x / (K(y,y \ 1) \ x)) = (K(y,y \ 1) \ x) * K(y,y \ 1). [para(127(a,1),2195(a,1,2)),flip(a)]. 2199 (K(x,x \ 1) \ y) * K(x,x \ 1) = T(y,K(x,x \ 1)). [para(57(a,1),2197(a,1,2)),flip(a)]. 2202 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),779(a,1,1))]. 2203 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(1904(a,1),780(a,1,1))]. 2204 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2100(a,1),2203(a,1,1))]. 2205 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(775(a,1),2204(a,2,1))]. 2206 R(T(x,x \ 1),y,z) \ R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(2205(a,2),281(a,1))]. 2207 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(152(a,2),1021(a,1,2,1,1))]. 2208 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(83(a,1),1564(a,1,1))]. 2209 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(83(a,1),2208(a,1,2,1,1))]. 2210 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [para(2207(a,2),1278(a,1))]. 2211 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(682(a,1),2210(a,2,1))]. 2212 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [para(541(a,2),336(a,1))]. 2213 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [para(2212(a,1),673(a,1)),flip(a)]. 2214 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1303(a,1),2213(a,2,1,1))]. 2215 T(1 / (1 / R(1 / x,x,y)),x * y) = T(1 / (1 / (y / (x * y))),x * y). [para(975(a,1),839(a,1))]. 2216 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * R(T(T(x,z),u),y,y \ z)). [para(42(a,2),978(a,2,2,2))]. 2217 (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = T(T(x,x \ 1),y) / T(x,y). [para(2051(a,1),1428(a,2,1))]. 2218 (1 / x) \ ((T(T(x,x \ 1),y) / x) / T(x,y)) = a(T(x,y),1 / x,x). [para(2217(a,2),1782(a,1))]. 2220 (1 / x) \ ((T(x,y) * (1 / x)) / T(x,y)) = a(T(x,y),1 / x,x). [para(1331(a,1),2218(a,1,2,1))]. 2221 (1 / x) \ L(1 / x,T(x,y),1 / x) = a(T(x,y),1 / x,x). [para(1828(a,1),2220(a,1,2))]. 2222 x * L(x \ 1,T(x,y),1 / x) = a(T(x,y),1 / x,x). [para(2221(a,1),688(a,1)),flip(a)]. 2223 x * ((x \ T(x,y)) / T(x,y)) = a(T(x,y),1 / x,x). [para(1907(a,1),2222(a,1,2))]. 2224 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (R(T(x,u),y,y \ z) * z). [para(411(a,1),2216(a,2,2))]. 2225 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ ((T(x,u) * y) * (y \ z)). [para(221(a,1),2224(a,2,2))]. 2226 (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y) = K(x \ 1,x) * (T(x,y) / x). [para(840(a,1),1381(a,1,2)),flip(a)]. 2227 (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = K(x \ 1,x) * (T(x,y) / x). [para(1378(a,1),2226(a,1,2,1,2))]. 2228 K(x \ 1,x) * (T(x,y) / x) = (x \ 1) * T(x,y). [para(208(a,1),2227(a,1,2,1)),flip(a)]. 2229 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * ((T(x,y) / x) * z)) = L(z,T(x,y) / x,K(x \ 1,x)). [para(2228(a,1),28(a,2,1)),flip(a)]. 2230 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * (T(x,y) * (1 / x))) = L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)). [para(2228(a,1),849(a,1,1))]. 2231 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [para(1515(a,2),1373(a,1))]. 2232 K(x,x \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [para(1514(a,1),2231(a,1,1))]. 2233 L(x \ y,x,K(x,x \ 1)) = K(x,x \ 1) * (((x \ 1) \ 1) \ y). [para(105(a,1),2232(a,1,2,1)),flip(a)]. 2234 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(642(a,1),1758(a,2,2))]. 2235 K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(1757(a,1),2234(a,1,2,1,2))]. 2236 K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(32(a,2),2235(a,1,2,1))]. 2237 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(1759(a,1),1660(a,1))]. 2238 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(1920(a,1),2237(a,1,2))]. 2239 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [para(2238(a,1),1548(a,1))]. 2240 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1636(a,1),1779(a,1,1,2)),flip(a)]. 2241 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(49(a,1),2240(a,2,1))]. 2243 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [para(2241(a,2),237(a,1))]. 2245 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2243(a,1),185(a,1,2)),flip(a)]. 2246 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(71,a,2245,a(flip)),flip(a)]. 2247 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2246(a,1),20(a,1)),flip(a)]. 2248 K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)). [para(1912(a,1),2026(a,1,2,2)),flip(a)]. 2249 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(2248(a,1),1914(a,1))]. 2250 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(68,a,2249,a),flip(a)]. 2252 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = K(y,x). [para(760(a,2),759(a,2)),flip(a)]. 2253 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [para(123(a,1),2252(a,1,2,1))]. 2254 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),((x * y) \ x) \ 1). [para(2253(a,1),106(a,1,1)),flip(a)]. 2255 R(L(x / (y \ 1),z,u),y \ 1,(y \ 1) \ 1) = (y \ L(y * x,z,u)) * T(y,y \ 1). [para(684(a,1),787(a,1,1)),flip(a)]. 2256 (x \ L(x * y,z,u)) * T(x,x \ 1) = L(y * ((x \ 1) \ 1),z,u). [para(2255(a,1),386(a,1))]. 2257 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(1919(a,1),784(a,1,1,2))]. 2258 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(840(a,1),2257(a,1,1,2)),flip(a)]. 2259 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(828(a,1),2258(a,2,1))]. 2260 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(294(a,1),2259(a,1,1))]. 2261 a(x,x \ 1,T(x,y)) = K(T(x,y),1 / x). [para(2260(a,1),1425(a,2))]. 2262 T(x,y) \ K(T(x,y),1 / x) = L(T(x,y),x \ 1,x) \ 1. [para(2261(a,1),862(a,2,2)),flip(a)]. 2263 T(x,y) \ K(T(x,y),1 / x) = T(1 / (1 / x),y) \ 1. [para(1401(a,1),2262(a,2,1))]. 2264 ((x * ((y / T(y,z)) * T(y,z))) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). [para(59(a,1),1198(a,1,1,1,2,2))]. 2265 ((x * y) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). [para(16(a,1),2264(a,1,1,1,2))]. 2267 (1 / T(x,y)) * ((z * x) / z) = ((z * x) / z) / T(x,y). [para(59(a,1),2265(a,1,2)),flip(a)]. 2269 ((x * T(y,x)) / x) / T(T(y,x),z) = (1 / T(T(y,x),z)) * y. [para(127(a,1),2267(a,1,2)),flip(a)]. 2270 (1 / T(T(x,y),z)) * x = x / T(T(x,y),z). [para(127(a,1),2269(a,1,1)),flip(a)]. 2271 (x / T(T(x,y),z)) / x = 1 / T(T(x,y),z). [hyper(74,a,2270,a)]. 2272 1 / T(T(x,y),T(x,y) \ x) = (T(x,y) \ x) / x. [para(159(a,1),2271(a,1,1)),flip(a)]. 2273 1 / ((T(x,y) \ x) \ x) = (T(x,y) \ x) / x. [para(105(a,1),2272(a,1,2))]. 2274 (T(x,y) * (L(x,z,u) * y)) \ ((L(x,z,u) * y) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(145(a,1),1534(a,1,2,1))]. 2275 ((1 / x) * L((1 / x) \ 1,y,z)) * (x \ 1) = (1 / x) * ((x \ 1) * L(x,y,z)). [para(208(a,1),1629(a,1,2,2,1)),flip(a)]. 2276 ((1 / x) * L((1 / x) \ 1,y,z)) * (x \ 1) = (x \ 1) * ((1 / x) * L(x,y,z)). [para(2275(a,2),958(a,1))]. 2277 T((1 / x) * L((1 / x) \ 1,y,z),x \ 1) = (1 / x) * L(x,y,z). [hyper(131,a,2276,a(flip))]. 2278 T((1 / x) * L((1 / x) \ 1,y,z),x \ 1) = L(x,y,z) / x. [para(2277(a,2),1029(a,1))]. 2279 T(L(x,y,z) / x,x \ 1) = L(x,y,z) / x. [para(1058(a,1),2278(a,1,1))]. 2280 T((x \ 1) * ((L(x,y,z) / x) * (1 / (x \ 1))),x \ 1) = (x \ 1) * ((L(x,y,z) / x) * (1 / (x \ 1))). [para(2279(a,1),1845(a,2,2,1))]. 2281 T((x \ 1) * ((L(x,y,z) / x) * (1 / (x \ 1))),x \ 1) = (x \ 1) * ((L(x,y,z) / x) * x). [para(57(a,1),2280(a,2,2,2))]. 2284 T((x \ 1) * ((L(x,y,z) / x) * (1 / (x \ 1))),x \ 1) = (x \ 1) * L(x,y,z). [para(16(a,1),2281(a,2,2))]. 2287 T((x \ 1) * ((L(x,y,z) / x) * x),x \ 1) = (x \ 1) * L(x,y,z). [para(57(a,1),2284(a,1,1,2,2))]. 2289 T((x \ 1) * L(x,y,z),x \ 1) = (x \ 1) * L(x,y,z). [para(16(a,1),2287(a,1,1,2))]. 2290 T(x \ 1,(x \ 1) * L(x,y,z)) = x \ 1. [hyper(35,a,2289,a)]. 2292 L(x \ 1,L(x,y,z),x \ 1) * L(x,y,z) = L(x,y,z) * (x \ 1). [para(2290(a,1),464(a,1,2)),flip(a)]. 2294 (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(1277(a,2),312(a,1))]. 2295 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(146(a,1),2294(a,2,2))]. 2296 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),1200(a,1,1))]. 2297 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). [para(15(a,1),2296(a,1,2,1,1)),flip(a)]. 2298 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). [para(13(a,1),2297(a,2,2,1))]. 2299 (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(y,z). [para(16(a,1),2298(a,1,1,1))]. 2300 (1 / T(x,y)) * T(x,z) = T(x,z) / T(x,y). [para(58(a,1),2298(a,1,1)),flip(a)]. 2301 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [para(2300(a,1),32(a,2,2)),flip(a)]. 2302 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(2301(a,1),747(a,1,1,1))]. 2303 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1641(a,1),1644(a,2,1))]. 2304 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(2303(a,2),716(a,1))]. 2306 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(716(a,1),2304(a,1,1))]. 2307 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(35,a,2306,a)]. 2308 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(1575(a,2),1573(a,1))]. 2309 ((x \ T(x,y)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(646(a,1),1422(a,1,1,1))]. 2310 ((x \ T(x,y)) * x) * L(z,K(x \ 1,x),T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(152(a,2),2309(a,1,2,2))]. 2311 T(x,y) \ T(T(x * ((x \ T(x,y)) / T(x,y)),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). [para(646(a,1),1839(a,1,2,1,1,2,1))]. 2312 T(x,y) \ T(T(a(T(x,y),1 / x,x),y),T(x,y)) = T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y). [para(2223(a,1),2311(a,1,2,1,1))]. 2313 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(1315(a,1),1953(a,1,1,2,1))]. 2314 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(1314(a,1),2313(a,1,1,2)),flip(a)]. 2316 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(100(a,1),1053(a,1,1,1,2,2)),flip(a)]. 2317 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [para(2316(a,2),561(a,1))]. 2318 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [para(2317(a,2),1570(a,1))]. 2319 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(561(a,1),2318(a,1,1))]. 2320 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1576(a,1),2319(a,2,1))]. 2321 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(18,a,100,a,b,2320,a)]. 2322 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),2321(a,1,2,1)),flip(a)]. 2323 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [para(2321(a,1),1089(a,2)),flip(a)]. 2324 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(2322(a,2),1353(a,2)),flip(a)]. 2325 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(718(a,1),2324(a,1,1,2,1))]. 2326 (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),1084(a,2,2,1,1))]. 2327 (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(676(a,1),2326(a,1,2))]. 2328 (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),2327(a,1,2,2,2,1,2))]. 2329 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(588(a,1),2328(a,1,2,2))]. 2330 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [para(2329(a,1),28(a,2)),flip(a)]. 2331 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(1034(a,1),2330(a,1,2))]. 2332 L(x,y,z) * L(L(x,y,z) \ 1,(x \ 1) \ 1,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(1399(a,1),2330(a,2,1,2))]. 2334 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),2331(a,1,2,2)),flip(a)]. 2335 (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [para(28(a,2),1086(a,2,2,1,1))]. 2336 (x * y) \ (x * ((y * z) * R((y * z) \ y,u,w))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [para(673(a,1),2335(a,1,2))]. 2337 (x * y) \ (x * (y * (z * R(z \ 1,u,w)))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [para(585(a,1),2336(a,1,2,2))]. 2338 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [para(2337(a,1),28(a,2)),flip(a)]. 2339 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(2338(a,1),730(a,1))]. 2340 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1647(a,1),2339(a,1,1,2)),flip(a)]. 2341 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(2340(a,2),1774(a,1))]. 2342 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(18,a,152,a(flip),b,2341,a)]. 2343 (L(x,y,z) \ 1) \ (x \ 1) = x \ L(x,y,z). [para(2342(a,1),59(a,1,1))]. 2344 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(59(a,1),2342(a,1,1))]. 2345 R(x,y,z) \ L(R(x,y,z),x \ 1,x) = (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1). [para(1402(a,1),2343(a,1,1,1)),flip(a)]. 2346 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(688(a,1),2344(a,1,2))]. 2347 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(2346(a,1),16(a,1,1))]. 2348 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2247,a,2347,a)]. 2349 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1058(a,1),2348(a,1,1)),flip(a)]. 2350 (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ R(1 / (1 / x),y,z). [para(1402(a,1),2345(a,1,2)),flip(a)]. 2351 (((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),1562(a,2,2,1,1))]. 2352 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1273(a,1),2351(a,1,1))]. 2353 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1274(a,1),2352(a,1,1,1))]. 2354 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [para(2353(a,1),30(a,2)),flip(a)]. 2355 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(2354(a,1),723(a,1))]. 2356 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1421(a,1),2355(a,1,1,2)),flip(a)]. 2357 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(2356(a,2),1952(a,1))]. 2358 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(18,a,152,a(flip),b,2357,a)]. 2359 ((x * y) * (z * L(z \ ((x * y) \ (y * z)),u,w))) / (R(x,y,z) \ ((x * y) * z)) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(676(a,1),1016(a,1,1))]. 2360 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * (y \ T(y,u))) * z. [para(642(a,1),2093(a,2,1,2))]. 2361 (((x * y) * L((x * y) \ y,z,u)) * w) / (R(x,y,w) \ ((x * y) * w)) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1096(a,1),2359(a,1,1))]. 2362 (((x * L(x \ 1,y,z)) * u) * w) / (R(x,u,w) \ ((x * u) * w)) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1100(a,1),2361(a,1,1,1))]. 2363 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(119(a,1),2362(a,1,2))]. 2364 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [para(2363(a,1),30(a,2)),flip(a)]. 2366 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(492(a,1),2364(a,2,1,2))]. 2367 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(778(a,1),2364(a,1,2))]. 2368 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(797(a,1),2366(a,1,2))]. 2369 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(1615(a,1),2368(a,2,1,2))]. 2370 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1353(a,2),2369(a,2,1))]. 2371 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),2367(a,1,2,2)),flip(a)]. 2372 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). [para(840(a,1),1811(a,2,1))]. 2373 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = (1 / x) * (x * ((y * x) \ y)). [para(13(a,1),2372(a,1,2,1)),flip(a)]. 2374 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = L(1 / x,x,y). [para(2373(a,2),590(a,1))]. 2375 K(x,(y * x) \ y) * ((y * x) \ y) = L(1 / x,x,y). [para(1688(a,1),2374(a,1,1))]. 2376 K(x,x \ 1) * ((y * x) \ y) = L(1 / x,x,y). [para(1984(a,1),2375(a,1,1))]. 2377 ((x * y) \ x) * T(K(y,y \ 1),(x * y) \ x) = L(1 / y,y,x). [para(2376(a,1),104(a,2))]. 2379 ((x * y) \ x) * K(y,y \ 1) = L(1 / y,y,x). [para(1821(a,1),2377(a,1,2))]. 2380 ((x * y) \ x) \ L(1 / y,y,x) = K(y,y \ 1). [hyper(68,a,2379,a)]. 2382 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = K(x,x \ 1). [para(2380(a,1),2006(a,2))]. 2383 x * T(y,L(y \ 1,y,x)) = (x * y) * K(y,y \ 1). [para(2382(a,1),967(a,1,2)),flip(a)]. 2385 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(1975(a,1),2383(a,1,2)),flip(a)]. 2386 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(1977(a,1),2383(a,1,2)),flip(a)]. 2388 (x * K(y,y \ 1)) / T(y,y \ 1) = x / y. [hyper(428,a,2385,a)]. 2389 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [para(16(a,1),2385(a,1,1)),flip(a)]. 2391 (x * y) \ (x * ((y \ 1) \ 1)) = K(y,y \ 1). [hyper(68,a,2386,a)]. 2392 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [para(16(a,1),2386(a,1,1)),flip(a)]. 2393 K(x,x \ 1) \ (y * ((x \ 1) \ 1)) = T(y * x,K(x,x \ 1)). [para(2386(a,1),32(a,2,2)),flip(a)]. 2394 R(x,K(y,y \ 1),y) = (x / y) * y. [para(2388(a,1),1495(a,1,1)),flip(a)]. 2395 R(x,K(y,y \ 1),y) = x. [para(2394(a,2),16(a,1))]. 2396 (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). [para(2395(a,1),100(a,1,1)),flip(a)]. 2397 R(x,K(y \ 1,y),1 / y) = x. [para(1430(a,1),2395(a,1,2))]. 2398 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2397(a,1),1386(a,1,1)),flip(a)]. 2399 (x * K(y,y \ 1)) * y = x * T(y,y \ 1). [para(2389(a,1),1167(a,1,1))]. 2400 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [para(2389(a,1),1168(a,1))]. 2401 (x * K(y,y \ 1)) \ (x * T(y,y \ 1)) = y. [para(2389(a,1),1169(a,1,1))]. 2402 (x / ((y \ 1) \ 1)) * y = x / K(y,y \ 1). [para(2391(a,1),217(a,1,2)),flip(a)]. 2403 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(74,a,2398,a)]. 2404 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [hyper(18,a,1233,a(flip),b,2398,a)]. 2405 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [para(105(a,1),2399(a,2,2))]. 2406 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(2399(a,2),2385(a,2)),flip(a)]. 2407 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [para(2385(a,2),2401(a,1,2))]. 2408 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [para(16(a,1),2403(a,1,1)),flip(a)]. 2409 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(428,a,2404,a)]. 2410 (x * (y \ 1)) / K(y \ 1,y) = x * (1 / y). [hyper(74,a,2404,a)]. 2411 L(x,K(x,x \ 1),y) = x. [hyper(306,a,2396,a)]. 2412 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1430(a,1),2411(a,1,2))]. 2413 (x / K(y \ 1,y)) \ ((1 / y) * x) = K(y \ 1,y) * T(1 / y,x). [para(2412(a,1),622(a,1,2,1))]. 2414 L(1 / (1 / x),K(x,x \ 1),y) = 1 / (1 / x). [para(1361(a,1),2412(a,1,2))]. 2415 (x * K(y,y \ 1)) \ (x * y) = 1 / (1 / y). [para(2414(a,1),1416(a,1)),flip(a)]. 2416 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [para(2415(a,1),217(a,1,2)),flip(a)]. 2418 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [para(2416(a,1),2010(a,1,2)),flip(a)]. 2419 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [para(2416(a,1),2012(a,1)),flip(a)]. 2420 x \ ((y * x) * K(x,x \ 1)) = T(y * K(x,x \ 1),x). [para(2406(a,1),32(a,2,2)),flip(a)]. 2421 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(2407(a,1),703(a,1,1)),flip(a)]. 2422 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2418(a,1),59(a,1,1))]. 2423 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(57(a,1),2419(a,1,2,2,2,2)),flip(a)]. 2424 1 / (x \ (x / (y \ 1))) = (x \ (x / (1 / y))) \ 1. [para(57(a,1),2422(a,1,1,2,2,2)),flip(a)]. 2425 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(13(a,1),2423(a,2,2,2,2))]. 2426 ((x \ (x / (1 / y))) \ 1) \ 1 = x \ (x / (y \ 1)). [para(2424(a,1),59(a,1,1))]. 2427 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2001(a,2),2425(a,1,2))]. 2428 x / L(y,y \ 1,x) = x * (1 / y). [para(57(a,1),2427(a,2,2,2))]. 2430 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(2428(a,1),59(a,1,1)),flip(a)]. 2431 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2428(a,2),440(a,1,1,2))]. 2432 L(x,1 / x,y) = L(x,x \ 1,y). [para(2430(a,2),254(a,2))]. 2433 L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). [para(57(a,1),2432(a,1,2)),flip(a)]. 2434 L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). [para(105(a,2),2433(a,1,2))]. 2435 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. [para(2434(a,1),2091(a,2,1,1))]. 2436 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [para(2431(a,1),1773(a,2))]. 2437 L(x \ T(x,y),(x \ 1) \ 1,y) = K(1 / (x \ 1),y). [para(2431(a,1),1776(a,2))]. 2438 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(59(a,1),2436(a,1,2))]. 2439 x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). [para(2436(a,1),92(a,2))]. 2440 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(57(a,1),2426(a,1,1,1,2,2))]. 2441 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [para(2440(a,1),1979(a,2))]. 2442 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2440(a,1),1989(a,1,2))]. 2443 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2441(a,2),14(a,1,2))]. 2444 x * T(x \ (x / y),y) = x / T(y,y \ 1). [para(105(a,2),2443(a,2,2))]. 2445 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [para(2443(a,1),711(a,2))]. 2446 (x / y) * K(y \ 1,y) = x / T(y,y \ 1). [para(2444(a,1),711(a,2))]. 2447 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(15(a,1),2445(a,1,1)),flip(a)]. 2448 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2445(a,1),1890(a,1,1))]. 2449 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [para(2446(a,1),1890(a,1,1))]. 2450 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [para(2447(a,1),16(a,1,1))]. 2451 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(15(a,1),2448(a,1,1)),flip(a)]. 2452 x * K(y \ 1,y) != z * y | x / ((y \ 1) \ 1) = z. [para(2448(a,1),20(a,1))]. 2453 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(433(a,1),2448(a,1,1)),flip(a)]. 2454 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(660(a,1),2448(a,1,1)),flip(a)]. 2455 x / K(y,y \ 1) = x * K(y \ 1,y). [para(2448(a,1),2402(a,1)),flip(a)]. 2456 (x * K(y,y \ 1)) \ x = K(y \ 1,y). [hyper(371,a,2455,a)]. 2457 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(232,a,2455,a)]. 2458 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(73,a,2455,a)]. 2459 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [para(2455(a,1),230(a,1)),flip(a)]. 2460 T((K(x \ 1,x) * y) * K(x,x \ 1),K(x \ 1,x)) = y. [para(2457(a,1),126(a,1,1))]. 2461 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [para(2457(a,1),2410(a,1))]. 2462 (x / (y * x)) * K(y \ 1,y) = R(y \ 1,y,x). [hyper(18,a,2046,a(flip),b,2458,a)]. 2463 x * K(y,y \ 1) != z | z * K(y \ 1,y) = x. [para(2458(a,1),20(a,1)),flip(a)]. 2464 (x * K(y \ 1,y)) / y = x / T(y,y \ 1). [para(2458(a,1),2388(a,1,1)),flip(a)]. 2465 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [para(2408(a,1),2458(a,1,1))]. 2466 (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. [para(2404(a,1),2450(a,1,1))]. 2467 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(18,a,340,a,b,2451,a)]. 2468 (x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2451(a,1),2398(a,1,1)),flip(a)]. 2469 L(x * ((y \ 1) \ 1),z,u) * K(y \ 1,y) = (y \ L(y * x,z,u)) * y. [para(2256(a,1),2453(a,1,1))]. 2470 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2453(a,1),2398(a,1,1)),flip(a)]. 2471 (x * y) * (y \ 1) = R(x,y,1 / y). [hyper(18,a,1360,a,b,2461,a)]. 2472 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [para(16(a,1),2461(a,1,1)),flip(a)]. 2473 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [para(729(a,1),2461(a,1,1))]. 2474 ((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(2461(a,1),332(a,1,1))]. 2475 R(x,y,1 / y) = R(x,y,y \ 1). [para(2471(a,1),154(a,1))]. 2476 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [para(57(a,1),2475(a,1,3)),flip(a)]. 2477 (R(x,y,y \ 1) / (1 / y)) * K(y,y \ 1) = x * y. [para(2465(a,2),364(a,1))]. 2478 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [para(2476(a,1),455(a,1,2)),flip(a)]. 2479 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [para(2462(a,1),1659(a,2))]. 2480 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(2061(a,2),2467(a,1,2))]. 2481 K(x / (y * x),y) = K(y \ 1,y). [hyper(18,a,2085,a,b,2479,a),flip(a)]. 2482 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [para(2479(a,1),2184(a,1,2))]. 2483 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(16(a,1),2481(a,1,1,2)),flip(a)]. 2485 (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(2482(a,1),137(a,1,2,1))]. 2486 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2482(a,1),2202(a,2,2))]. 2487 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(15(a,1),2483(a,2,1))]. 2489 (x * (1 / y)) * y = R(x,y \ 1,y). [para(2466(a,1),2467(a,1))]. 2490 R(x,y \ 1,y) / y = x * (1 / y). [hyper(74,a,2489,a)]. 2491 R(x / (1 / y),y \ 1,y) = x * y. [para(16(a,1),2489(a,1,1)),flip(a)]. 2492 R(x,1 / y,y) = R(x,y \ 1,y). [para(2489(a,1),155(a,1)),flip(a)]. 2493 x \ R(x,y \ 1,y) = a(x,1 / y,y). [para(2489(a,1),581(a,1,2))]. 2494 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(1604(a,1),2489(a,1,1))]. 2495 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2398(a,1),2489(a,1,1)),flip(a)]. 2496 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(57(a,1),2492(a,1,2)),flip(a)]. 2497 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [para(2492(a,1),388(a,1))]. 2498 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [para(2492(a,2),2476(a,2))]. 2499 R(x,(1 / y) \ 1,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). [para(1394(a,2),2490(a,2,2))]. 2500 ((1 / x) * (y * x)) \ (y * R(y / (1 / x),x \ 1,x)) = (1 / x) \ y. [para(2491(a,1),1478(a,1,1,2))]. 2501 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1317(a,2),2498(a,1,3))]. 2502 ((x / y) * (y / x)) * ((x / y) \ 1) = ((y / x) * (x / y)) * (1 / (x / y)). [para(2073(a,1),2468(a,1,1))]. 2503 a(x,y \ 1,(y \ 1) \ 1) = a(x,1 / y,y). [para(2478(a,2),2493(a,1))]. 2504 K(x,y) = L(x \ T(x,y),(x \ 1) \ 1,y). [para(57(a,1),2437(a,2,1)),flip(a)]. 2506 K(x,y) = L(T(x,y) * (x \ 1),(x \ 1) \ 1,y). [para(646(a,2),2504(a,2,1))]. 2507 L(T(x,y) * (x \ 1),(x \ 1) \ 1,y) / (x \ 1) = x * K(x,y). [para(2504(a,2),726(a,2,2))]. 2508 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1823(a,1),2495(a,2,1))]. 2509 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(16(a,1),2420(a,1,2,1)),flip(a)]. 2510 T((K(x \ 1,x) * (y * z)) * K(x,x \ 1),K(x \ 1,x)) != u * z | u = y. [para(2460(a,2),20(a,2)),flip(a)]. 2511 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [para(2509(a,1),2170(a,1))]. 2512 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2511(a,1),14(a,1,2))]. 2513 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(13(a,1),2512(a,1,2,1)),flip(a)]. 2514 R(x,y,K(x,x \ 1)) = x. [hyper(329,a,2513,a)]. 2515 L(K(x,x \ 1),y,x) = K(x,x \ 1). [hyper(306,a,2513,a)]. 2516 K(x,x \ 1) \ (x * (y * K(x,x \ 1))) = T(x * y,K(x,x \ 1)). [para(2513(a,1),32(a,2,2)),flip(a)]. 2517 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2514(a,1),42(a,2,1))]. 2518 R(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1430(a,1),2514(a,1,3))]. 2519 (x * y) / K(x,x \ 1) = x * (y / K(x,x \ 1)). [para(2515(a,1),353(a,1,2))]. 2520 T(x,y * K(x,x \ 1)) = T(x,y). [para(2517(a,1),2421(a,1))]. 2521 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1352(a,1),2520(a,1,2,2))]. 2522 T(x,y * K(x \ 1,x)) = T(x,y). [para(2458(a,1),2520(a,1,2)),flip(a)]. 2524 T(x \ 1,y * K(x,x \ 1)) = T(x \ 1,y). [para(1432(a,1),2522(a,1,2,2))]. 2525 ((1 / x) * y) * K(x \ 1,x) = (1 / x) * (y * K(x \ 1,x)). [para(2518(a,1),100(a,1,1)),flip(a)]. 2526 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2521(a,1),1483(a,1,2,2,2)),flip(a)]. 2527 (x * y) * K(x \ 1,x) = x * (y / K(x,x \ 1)). [para(2519(a,1),2455(a,1)),flip(a)]. 2528 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(2455(a,1),2527(a,2,2))]. 2529 R(x,y,K(x \ 1,x)) = x. [hyper(329,a,2528,a)]. 2530 R(1 / x,y,K(x,x \ 1)) = 1 / x. [para(1361(a,1),2529(a,1,3))]. 2531 R(x \ 1,y,K(x,x \ 1)) = x \ 1. [para(1432(a,1),2529(a,1,3))]. 2532 R(R(1 / x,y,z),u,K(x,x \ 1)) = R(1 / x,y,z). [para(2530(a,1),46(a,1,1)),flip(a)]. 2533 ((x \ 1) * y) * K(x,x \ 1) = (x \ 1) * (y * K(x,x \ 1)). [para(2531(a,1),100(a,1,1)),flip(a)]. 2534 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(840(a,1),2438(a,1,1))]. 2535 K(1 / (1 / x),y) = (x * K(x,y)) / x. [para(2534(a,1),634(a,1))]. 2536 K(1 / (1 / x),y) * x = x * K(x,y). [para(2535(a,2),16(a,1,1))]. 2537 T(K(1 / (1 / x),y),x) = K(x,y). [para(2535(a,2),126(a,1,1))]. 2538 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(159(a,1),2537(a,1,1,1,2))]. 2539 (x \ ((1 / x) \ K(1 / (1 / x),y))) * x = (1 / x) \ K(x,y). [para(2537(a,1),661(a,2,2))]. 2540 (1 / x) \ K(1 / (1 / x),y) = x * K(x,y). [para(2536(a,1),1113(a,2))]. 2541 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(57(a,1),2538(a,1,1,1))]. 2543 K(T(x,x \ 1),y) = T(K(x,y),x). [para(2541(a,1),1910(a,1))]. 2544 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(105(a,1),2543(a,1,1)),flip(a)]. 2545 x * K((x \ 1) \ 1,y) = K(x,y) * x. [para(2544(a,1),104(a,1,2))]. 2546 K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). [para(59(a,1),2545(a,1,2,1,1)),flip(a)]. 2547 x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). [para(2435(a,1),1318(a,1,2))]. 2548 T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). [para(2547(a,1),1862(a,2,1,2))]. 2549 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(57(a,1),2501(a,2,2))]. 2551 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(105(a,2),2549(a,1,2))]. 2552 (x \ (x * K(x,y))) * x = (1 / x) \ K(x,y). [para(2540(a,1),2539(a,1,1,2))]. 2553 (1 / x) \ K(x,y) = K(x,y) * x. [para(13(a,1),2552(a,1,1)),flip(a)]. 2555 R(x,y,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). [para(59(a,1),2499(a,1,1,2))]. 2556 R(x,y,y \ 1) / (1 / y) = x * (y * K(y \ 1,y)). [para(2475(a,1),2555(a,1,1))]. 2557 R(x,y,y \ 1) / (1 / y) = x * (1 / (1 / y)). [para(1394(a,1),2556(a,2,2))]. 2558 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2557(a,1),2477(a,1,1))]. 2559 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [hyper(2463,a,2558,a)]. 2560 (x / (1 / (1 / y))) * y = x * K(y,y \ 1). [para(16(a,1),2558(a,1,1)),flip(a)]. 2561 (x * y) \ (x * (1 / (1 / y))) = K(y \ 1,y). [para(2558(a,1),2456(a,1,1))]. 2562 R(T(x / (1 / (1 / y)),y * z),y,z) = (y * z) \ ((x * K(y,y \ 1)) * z). [para(2560(a,1),584(a,1,2,1)),flip(a)]. 2563 L(K(x \ 1,x),x,y) = K(x \ 1,x). [para(2561(a,1),1395(a,2))]. 2564 K((x * y) \ x,x \ (x * y)) = K(y \ 1,y). [para(2563(a,1),2024(a,1)),flip(a)]. 2566 K((x * y) \ x,y) = K(y \ 1,y). [para(13(a,1),2564(a,1,2))]. 2568 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [para(14(a,1),2566(a,1,1,1)),flip(a)]. 2569 K(x \ (x / y),y) = K(y \ 1,y). [para(16(a,1),2566(a,1,1,1))]. 2570 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(104(a,1),2566(a,1,1,1)),flip(a)]. 2571 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(1176(a,1),2569(a,1,1,2)),flip(a)]. 2572 ((x \ y) \ 1) \ K(y \ x,x \ y) = x \ y. [para(2568(a,1),208(a,1,2))]. 2573 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [para(2568(a,1),1394(a,1,2))]. 2574 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2568(a,1),1982(a,1,2))]. 2575 K(x,y) / (x \ 1) = x * K(x,y). [para(2506(a,2),2507(a,1,1))]. 2576 (x * K(x,y)) * (x \ 1) = K(x,y). [para(2575(a,1),16(a,1,1))]. 2577 T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). [para(13(a,1),2548(a,2,1))]. 2579 T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). [para(105(a,1),2577(a,2,1))]. 2580 T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). [para(123(a,1),2579(a,1,2,1))]. 2581 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K((y \ 1) \ 1,x). [para(2580(a,1),2254(a,2))]. 2582 (x * K(y,y \ 1)) \ ((1 / y) * x) = K(y \ 1,y) * T(1 / y,x). [para(2457(a,1),2413(a,1,1))]. 2583 (x * K(y,y \ 1)) \ ((1 / y) * x) = (y \ 1) * (y * T(y \ 1,x)). [para(2582(a,2),1423(a,1))]. 2584 ((1 / x) * (y * x)) \ (y * (y * x)) = (1 / x) \ y. [para(2491(a,1),2500(a,1,2,2))]. 2585 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [para(2502(a,2),2034(a,1))]. 2586 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [hyper(18,a,226,a(flip),b,2585,a)]. 2587 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(57(a,1),2586(a,1,2)),flip(a)]. 2589 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(2587(a,1),997(a,1,2,1,2))]. 2590 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2412(a,1),2526(a,1,1)),flip(a)]. 2592 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(912(a,1),2571(a,2,1))]. 2593 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [para(2592(a,2),2019(a,1))]. 2594 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(13(a,1),2589(a,1,2,1)),flip(a)]. 2595 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(2594(a,1),754(a,1,1,2))]. 2596 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2461(a,1),2474(a,1,2)),flip(a)]. 2597 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [para(2596(a,2),30(a,2)),flip(a)]. 2598 R(1 / x,y,1 / x) = R(1 / x,y,x \ 1). [para(2597(a,1),2532(a,1))]. 2599 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1934(a,1),2485(a,1,2))]. 2600 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [para(2599(a,1),510(a,1))]. 2601 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [para(2600(a,1),2486(a,1)),flip(a)]. 2602 K(x,y / (x * y)) = K(x,x \ 1). [para(2601(a,1),2070(a,1))]. 2603 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(16(a,1),2602(a,1,2,2)),flip(a)]. 2605 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [para(2602(a,1),2487(a,2))]. 2606 K(x / (y * x),(x / (y * x)) \ 1) = K(x / (y * x),y). [para(15(a,1),2603(a,2,2))]. 2607 (K(x / y,y / x) * y) / x = ((x / y) * (y / x)) / (x / y). [para(2603(a,1),1536(a,1,1,1))]. 2608 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2605(a,1),2056(a,1,1))]. 2609 K((x * y) / y,y / (x * y)) = K(x,x \ 1). [para(2605(a,1),2483(a,1)),flip(a)]. 2611 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(427,a,2608,a)]. 2612 L(x,y,K(y,y \ 1)) = x. [hyper(1374,a,2608,a(flip))]. 2613 T(x,x \ 1) * (x \ y) = K(x,x \ 1) * y. [para(14(a,1),2608(a,1,2)),flip(a)]. 2615 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [para(105(a,1),2608(a,2,1))]. 2616 K(x,x \ 1) * L(y,x \ 1,x) = T(x,x \ 1) * ((x \ 1) * y). [para(153(a,1),2608(a,1,2))]. 2617 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [para(2608(a,1),1472(a,1)),flip(a)]. 2619 L(x,1 / y,K(1 / y,y)) = x. [para(59(a,1),2612(a,1,3,2))]. 2620 L(x,1 / y,K(y \ 1,y)) = x. [para(1430(a,1),2612(a,1,3))]. 2621 K(x,x \ 1) \ (y * ((x \ 1) \ 1)) = x * T(y,(x \ 1) \ 1). [para(2612(a,1),1780(a,1,2,1))]. 2622 L(x,K(y \ 1,y),1 / y) = x. [para(2612(a,1),2082(a,1)),flip(a)]. 2623 L(x,K(y,y \ 1),1 / (1 / y)) = x. [para(2612(a,1),2088(a,1)),flip(a)]. 2624 K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. [para(2612(a,1),2232(a,2))]. 2625 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [para(2612(a,1),2233(a,1)),flip(a)]. 2626 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1436(a,1),2619(a,1,3))]. 2627 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2620(a,1),1384(a,1,2)),flip(a)]. 2628 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2620(a,1),1517(a,1,1,2))]. 2629 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [para(2620(a,1),1385(a,1)),flip(a)]. 2630 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [para(2620(a,1),1522(a,1)),flip(a)]. 2631 K(x \ 1,x) * y != (x \ 1) * z | (1 / x) * z = y. [para(2620(a,1),1387(a,2,2))]. 2632 L(x,y,1 / y) = L(x,y,y \ 1). [para(2620(a,1),2090(a,1)),flip(a)]. 2633 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(2622(a,1),1625(a,1,2)),flip(a)]. 2634 (1 / x) * (x * y) = L(y,x,x \ 1). [para(2622(a,1),1762(a,1)),flip(a)]. 2635 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(57(a,1),2632(a,1,3)),flip(a)]. 2636 L(x,y,y \ 1) / (y * x) = 1 / y. [para(2632(a,1),303(a,1,1))]. 2637 (1 / x) \ L(y,x,x \ 1) = x * y. [para(2632(a,1),369(a,1,2))]. 2638 L(x,y,y \ 1) \ x = a(1 / y,y,x). [para(2632(a,1),458(a,1,1))]. 2639 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(2632(a,1),379(a,1))]. 2640 L(x,y / x,(y / x) \ 1) = (1 / (y / x)) * y. [para(2632(a,1),378(a,1))]. 2641 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2632(a,1),504(a,2,1))]. 2642 L(L(x \ y,z,u),x,x \ 1) = L((1 / x) * y,z,u). [para(2632(a,1),397(a,1))]. 2643 L(L(x,y,z) \ 1,x,x \ 1) = (1 / x) * (L(x,y,z) \ x). [para(2632(a,1),860(a,1))]. 2644 (1 / x) \ L(L(y,x,x \ 1),z,u) != x * w | L(y,z,u) = w. [para(2632(a,1),687(a,1,2,1))]. 2645 L(T(x,y) \ 1,x,x \ 1) = (1 / x) * (T(x,y) \ x). [para(2632(a,1),893(a,1))]. 2646 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [para(2623(a,1),1635(a,1,2)),flip(a)]. 2647 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2626(a,1),1417(a,1,2)),flip(a)]. 2648 x \ (K(x,x \ 1) * y) = (1 / (1 / x)) \ y. [para(2626(a,1),1418(a,1)),flip(a)]. 2649 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(360(a,1),2628(a,1,1))]. 2650 ((x \ 1) * y) / ((1 / x) * y) = K(x \ 1,x). [para(2628(a,1),380(a,1,2))]. 2651 T(x,y) * L(T(x,y) \ 1,x,x \ 1) = T(x * ((1 / x) * 1),y). [para(2628(a,1),1735(a,2,1,2))]. 2652 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2628(a,1),2186(a,1,2))]. 2653 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2634(a,1),189(a,1,1))]. 2654 (K(x,y) \ 1) \ L(z,K(x,y),K(x,y) \ 1) = K(x,y) * z. [para(2124(a,1),2637(a,1,1))]. 2655 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(57(a,1),2652(a,1,2,1)),flip(a)]. 2656 ((x \ 1) \ 1) \ (K(x,x \ 1) * y) = x \ y. [para(105(a,1),2611(a,1,1))]. 2657 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [para(2611(a,1),430(a,1,2))]. 2658 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [para(2613(a,1),870(a,1,2))]. 2660 K(x * y,(x * y) \ 1) * (y * x) = (((x * y) \ 1) \ 1) * K(y,x). [para(82(a,1),2615(a,1,2))]. 2661 x * (K(x,x \ 1) * y) = ((x \ 1) \ 1) * y. [para(2615(a,1),1472(a,1)),flip(a)]. 2663 K(x / y,(x / y) \ 1) \ y = (((x / y) \ 1) \ 1) \ x. [hyper(17,a,218,a(flip),b,2625,a),flip(a)]. 2665 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(14(a,1),2627(a,1,2)),flip(a)]. 2666 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2627(a,1),30(a,2,2)),flip(a)]. 2667 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2627(a,1),354(a,1,1))]. 2668 ((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(2627(a,1),308(a,1,1))]. 2669 T((x \ 1) * y,K(x \ 1,x)) = ((1 / x) * y) * K(x \ 1,x). [para(2627(a,1),2196(a,1,1))]. 2670 (x \ 1) * (y * T(y \ ((1 / x) \ y),z)) = ((x \ 1) * T(x,z)) * y. [para(2629(a,1),1878(a,1,2,2,1,2))]. 2671 (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. [para(13(a,1),2630(a,1,2)),flip(a)]. 2673 K(x \ 1,x) * K(y \ (x \ 1),y) = (1 / x) \ ((y \ (x \ 1)) * y). [para(83(a,1),2630(a,1,2))]. 2674 T(x \ ((1 / y) \ x),y \ 1) = x \ ((y \ 1) \ x). [para(2630(a,1),1494(a,1,1,2))]. 2675 (x \ 1) * (K(x \ 1,x) \ y) = (1 / x) * y. [para(14(a,1),2633(a,1,2)),flip(a)]. 2678 (1 / (1 / x)) * (y * K(x,x \ 1)) = x * T(y,K(x,x \ 1)). [para(104(a,1),2646(a,1,2))]. 2679 K(x,x \ 1) \ (x * y) = (1 / (1 / x)) * y. [hyper(68,a,2647,a)]. 2680 x * ((1 / (1 / x)) \ y) = K(x,x \ 1) * y. [para(14(a,1),2647(a,1,2)),flip(a)]. 2682 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(185(a,1),2647(a,1,2))]. 2683 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [para(2648(a,1),1470(a,1)),flip(a)]. 2684 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / (((1 / x) * T((1 / x) \ 1,z)) * y) = K(x \ 1,x). [para(1790(a,1),2650(a,1,2))]. 2685 K(x,x \ 1) * (T(x,y) \ 1) = x * (T(x,y) \ (1 / x)). [para(2657(a,1),2079(a,1))]. 2686 R(x,K(x,x \ 1),y) = x. [para(2658(a,1),2065(a,1)),flip(a)]. 2687 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1430(a,1),2686(a,1,2))]. 2688 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(2687(a,1),1954(a,1,1)),flip(a)]. 2689 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(815(a,1),2665(a,1,2)),flip(a)]. 2690 (x \ 1) * y != (1 / x) * z | K(x \ 1,x) \ z = y. [para(2675(a,1),19(a,1)),flip(a)]. 2691 (1 / (1 / x)) * (y * K(x,x \ 1)) = T(x * y,K(x,x \ 1)). [para(2679(a,1),2516(a,1))]. 2692 K(x,x \ 1) * y != x * z | (1 / (1 / x)) \ y = z. [para(2680(a,1),19(a,1))]. 2694 x * T(x \ ((1 / y) \ x),y \ 1) = (y \ 1) \ x. [para(2674(a,2),14(a,1,2))]. 2695 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [para(2694(a,1),1507(a,2))]. 2696 (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. [hyper(17,a,1943,a(flip),b,2695,a)]. 2697 (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) = y. [hyper(17,a,13,a(flip),b,2695,a)]. 2698 K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). [para(782(a,1),2695(a,1,2))]. 2699 (1 / (1 / x)) \ ((1 / x) \ y) = x \ ((x \ 1) \ y). [para(2695(a,1),2648(a,1,2)),flip(a)]. 2700 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [para(2695(a,1),2656(a,1,2))]. 2701 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [para(2696(a,1),14(a,1,2))]. 2702 (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)) = (x \ T(x,y)) \ 1. [para(2696(a,2),2250(a,1))]. 2703 (x \ 1) \ (((x \ 1) \ 1) \ y) = (1 / x) \ (x \ y). [para(2625(a,1),2696(a,1,2)),flip(a)]. 2704 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(17,a,2671,a(flip),b,2697,a(flip)),flip(a)]. 2705 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2697(a,1),14(a,1,2)),flip(a)]. 2706 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [para(2697(a,1),2671(a,1)),flip(a)]. 2707 K(x,x \ 1) \ y = K(x \ 1,x) * y. [hyper(68,a,2704,a)]. 2708 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(17,a,2683,a,b,2704,a)]. 2709 K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. [hyper(17,a,2647,a,b,2704,a)]. 2710 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(17,a,2625,a,b,2704,a)]. 2711 K(x \ 1,x) * (x \ y) = T(x,x \ 1) \ y. [hyper(17,a,2624,a,b,2704,a)]. 2712 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [hyper(17,a,2615,a,b,2704,a)]. 2713 K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. [hyper(17,a,2608,a,b,2704,a)]. 2714 K(x \ 1,x) * (T(x,y) * (1 / x)) = x \ T(x,y). [hyper(17,a,1471,a,b,2704,a)]. 2715 K(x \ 1,x) \ y = K(x,x \ 1) * y. [para(14(a,1),2704(a,1,2)),flip(a)]. 2716 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2704(a,1),19(a,1)),flip(a)]. 2717 x \ (K(x \ 1,x) * y) = T(x,x \ 1) \ y. [para(2704(a,1),2611(a,1,2)),flip(a)]. 2718 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [para(2704(a,1),2617(a,1,2)),flip(a)]. 2719 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [para(2627(a,1),2704(a,1,2))]. 2720 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(2704(a,1),2646(a,1,2)),flip(a)]. 2721 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [para(2704(a,1),2656(a,1,2)),flip(a)]. 2722 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [para(2704(a,1),2661(a,1,2)),flip(a)]. 2723 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2706(a,1),19(a,1)),flip(a)]. 2724 T(x,K(x,x \ 1) * y) = T(x,y). [para(2706(a,1),2184(a,1,2)),flip(a)]. 2725 T(x,T(x,x \ 1) \ y) = T(x,x \ y). [para(2624(a,1),2724(a,1,2)),flip(a)]. 2726 T(x,(1 / (1 / x)) * y) = T(x,x * y). [para(2647(a,1),2724(a,1,2)),flip(a)]. 2727 T(x,(1 / (1 / x)) \ y) = T(x,x \ y). [para(2683(a,1),2724(a,1,2))]. 2728 K(x,x \ 1) \ ((1 / x) * y) = (x \ 1) * y. [para(2707(a,2),2627(a,1))]. 2729 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2715(a,1),2211(a,1,2,1))]. 2730 K(x \ 1,x) \ (x * y) = ((x \ 1) \ 1) * y. [para(2715(a,2),2615(a,1))]. 2731 T(1 / (1 / x),(1 / (1 / x)) \ y) = T(1 / (1 / x),x \ y). [para(207(a,1),2725(a,1,2,1)),flip(a)]. 2732 T((x * y) / x,(1 / (1 / y)) * z) = (x * T(y,y * z)) / x. [para(2726(a,1),290(a,1,1,2)),flip(a)]. 2733 (x \ 1) * (K(x,x \ 1) * L((1 / x) \ y,z,u)) = L(y * x,z,u) / x. [para(2705(a,2),1057(a,1))]. 2734 K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). [para(2553(a,1),2708(a,1,2))]. 2735 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(17,a,215,a(flip),b,2709,a),flip(a)]. 2736 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [para(14(a,1),2709(a,1,2)),flip(a)]. 2737 ((x \ 1) \ 1) \ (x * y) = K(x \ 1,x) * y. [para(13(a,1),2710(a,1,2)),flip(a)]. 2738 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [para(2710(a,1),763(a,1)),flip(a)]. 2739 T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = K(R(x,y,z) \ 1,R(x,y,z)) * (y * z). [para(119(a,1),2711(a,1,2)),flip(a)]. 2740 K(x \ 1,x) * y != x * z | ((x \ 1) \ 1) * z = y. [para(2712(a,1),19(a,1)),flip(a)]. 2741 K(x \ 1,x) * y != x * z | T(x,x \ 1) * z = y. [para(2713(a,1),19(a,1)),flip(a)]. 2742 x * (T(T(x,x \ 1),y) * (T(x,x \ 1) \ z)) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [para(869(a,1),2713(a,1,2)),flip(a)]. 2743 x * (T(T(x,y),z) * (T(x,x \ 1) \ u)) = T(T(x,y),z) * (K(x \ 1,x) * u). [para(2717(a,1),1530(a,1,2,2))]. 2744 T(x,x \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(2627(a,1),2718(a,1,2))]. 2745 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) = L((y \ 1) * z,K(y,y \ 1),x). [para(2719(a,1),28(a,2,2,2)),flip(a)]. 2746 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2719(a,1),117(a,1,1,2))]. 2747 ((x \ 1) \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(2719(a,1),2661(a,1,2)),flip(a)]. 2748 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) = x. [hyper(74,a,2720,a)]. 2749 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1432(a,1),2721(a,1,2,1))]. 2750 T((1 / x) * y,K(x,x \ 1)) = ((x \ 1) * y) * K(x,x \ 1). [para(2728(a,1),2199(a,1,1)),flip(a)]. 2751 T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). [hyper(68,a,2738,a),flip(a)]. 2752 R(x,K(x \ 1,x),y) = x. [para(2748(a,1),1398(a,1)),flip(a)]. 2753 (T(x,y) * K(x \ 1,x)) * z = T(x,y) * (K(x \ 1,x) * z). [para(2752(a,1),334(a,1,1,1)),flip(a)]. 2754 T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). [para(59(a,1),2751(a,2,2,1,1))]. 2755 T(x,x \ ((1 / x) \ y)) = T(x,x \ ((x \ 1) \ y)). [para(2699(a,1),2727(a,1,2)),flip(a)]. 2756 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) = ((x \ 1) * T(x,y)) \ (x \ T(x,y)). [para(2714(a,1),2230(a,1,2)),flip(a)]. 2757 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [para(2606(a,2),2481(a,1))]. 2758 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(2757(a,1),1371(a,1,1))]. 2760 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(2649(a,2),1732(a,1,1))]. 2761 K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. [para(2757(a,1),2663(a,1,1))]. 2762 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [para(2758(a,1),2479(a,1)),flip(a)]. 2763 (R(1 / x,x,y) \ 1) \ 1 = R(x \ 1,x,y). [para(125(a,2),2762(a,2,1,1)),flip(a)]. 2764 R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). [para(2762(a,2),2761(a,2,1)),flip(a)]. 2765 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [para(2764(a,2),2730(a,1))]. 2766 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [para(2765(a,1),57(a,1,2)),flip(a)]. 2767 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(59(a,1),2765(a,1,1,1))]. 2768 R(x \ 1,x,y) \ y = T(x,x \ 1) * y. [para(105(a,2),2765(a,2,1))]. 2769 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(2766(a,2),106(a,1,1))]. 2770 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [para(105(a,2),2766(a,2,2,1)),flip(a)]. 2771 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [para(2766(a,2),261(a,2))]. 2772 (((x / (y * x)) \ 1) \ 1) \ x = T(y,y \ 1) * x. [para(2762(a,1),2768(a,1,1))]. 2773 R(x,1 / x,y) \ y = (x \ 1) * y. [para(59(a,1),2767(a,2,1,1))]. 2774 R(x,1 / x,y) = y / ((x \ 1) * y). [para(2773(a,1),57(a,1,2)),flip(a)]. 2775 R(x,1 / x,y) = R(x,x \ 1,y). [para(2774(a,2),261(a,2)),flip(a)]. 2776 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(2775(a,1),1402(a,1,1))]. 2777 T(x / y,(x / y) \ 1) * y = (((y / x) \ 1) \ 1) \ y. [para(16(a,1),2772(a,1,1,1,1,2)),flip(a)]. 2778 (((x / y) \ 1) \ 1) \ x = (((y / x) \ 1) \ 1) * x. [para(105(a,1),2777(a,1,1)),flip(a)]. 2779 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [para(2776(a,1),1402(a,1))]. 2780 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [para(2779(a,1),257(a,1))]. 2781 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(2780(a,2),85(a,1,2,2))]. 2782 (K(x / y,y / x) * y) / x = 1 / (1 / (y / x)). [para(2607(a,2),2072(a,1))]. 2783 (K((x * y) / y,y / (x * y)) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). [para(125(a,2),2782(a,2,2,2))]. 2784 T(x * y,K(y,y \ 1)) = y * T(x,(y \ 1) \ 1). [para(2621(a,1),2393(a,1)),flip(a)]. 2785 x * T(y / x,(x \ 1) \ 1) = T(y,K(x,x \ 1)). [para(16(a,1),2784(a,1,1)),flip(a)]. 2786 T(x,K(y,y \ 1)) != y * z | T(x / y,(y \ 1) \ 1) = z. [para(2785(a,1),19(a,1))]. 2787 T((x \ 1) * y,K(x \ 1,x)) = (1 / x) * (y * K(x \ 1,x)). [para(2669(a,2),2525(a,1))]. 2788 T(x * y,K(x,x \ 1)) = x * T(y,K(x,x \ 1)). [para(2691(a,1),2678(a,1))]. 2789 T((x * y) / x,(x \ 1) \ 1) = T(y,K(x,x \ 1)). [hyper(2786,a,2788,a)]. 2790 T(T(x,y),K(y,y \ 1)) = T(x,(y \ 1) \ 1). [para(127(a,1),2789(a,1,1)),flip(a)]. 2791 (1 / x) \ (x * (T(x,y) \ (1 / x))) = (x \ T(x,y)) \ 1. [para(2685(a,1),2702(a,1,2))]. 2792 T((x * y) / x,(1 / (1 / y)) * x) = L(y,x,y). [para(2732(a,2),466(a,1))]. 2793 L(x,y,1 / (1 / x)) = L(x,y,x). [para(2792(a,1),1709(a,1)),flip(a)]. 2794 L(x \ 1,y,1 / x) = L(x \ 1,y,x \ 1). [para(57(a,1),2793(a,1,3,2))]. 2795 L(x * L(x \ 1,L(x,y,z),x \ 1),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(2794(a,1),2334(a,1,1,2))]. 2796 K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). [para(2546(a,1),2734(a,1,2))]. 2797 T((1 / x) * y,K(x,x \ 1)) = (x \ 1) * (y * K(x,x \ 1)). [para(2750(a,2),2533(a,1))]. 2798 L(x,K(y \ 1,y),T(y,z)) = x. [hyper(306,a,2753,a)]. 2799 T((x \ 1) * (y / (x \ 1)),K(x \ 1,x)) = (1 / x) * (y / (1 / x)). [para(2408(a,1),2787(a,2,2))]. 2800 x * ((y \ 1) * (y * T(y \ 1,x))) = T((y \ 1) * x,K(y \ 1,y)). [para(2787(a,2),2590(a,2))]. 2801 (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). [para(2796(a,1),2627(a,1)),flip(a)]. 2802 (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). [para(2801(a,1),2576(a,1,1))]. 2803 (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(85(a,2),2802(a,1,1,2))]. 2804 (x * K(y,y \ 1)) \ T((1 / y) * x,K(y,y \ 1)) = T(y \ 1,x * K(y,y \ 1)). [para(2797(a,2),32(a,2,2)),flip(a)]. 2805 K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). [para(2616(a,2),2744(a,1))]. 2806 (1 / (1 / x)) \ L(y,x \ 1,x) = (1 / x) * y. [hyper(2692,a,2805,a)]. 2807 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1363,a,2805,a)]. 2808 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(57(a,1),2807(a,1,2)),flip(a)]. 2809 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [para(2808(a,1),323(a,1))]. 2810 L(x,y,z) * L(L(x,y,z) \ 1,x,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2808(a,1),2332(a,1,2))]. 2811 L(x,1 / y,(1 / y) \ 1) = L(x,y \ 1,y). [hyper(2644,a,2806,a),flip(a)]. 2812 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * ((1 / x) * 1),y). [para(2645(a,1),2651(a,1,2))]. 2813 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(12(a,1),2812(a,2,1,2))]. 2814 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). [para(1353(a,2),2813(a,2,1))]. 2815 T(x,y) \ T(K(x,x \ 1),y) = (1 / x) * (T(x,y) \ x). [hyper(68,a,2814,a)]. 2816 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(2769(a,1),42(a,2))]. 2817 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(2655(a,1),2816(a,1,1))]. 2818 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [para(2817(a,1),702(a,1)),flip(a)]. 2819 T(((1 / x) * y) \ y,1 / x) = ((x \ 1) * y) \ y. [para(59(a,1),2818(a,2,1,1,1))]. 2820 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(105(a,2),2818(a,2,1,1)),flip(a)]. 2821 x \ T((y \ 1) * (x / (y \ 1)),K(y \ 1,y)) = K(1 / y,x / (y \ 1)). [para(2800(a,1),2439(a,1,2))]. 2822 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2174(a,1),2667(a,1,2))]. 2823 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(2822(a,1),1853(a,2,2,1,2)),flip(a)]. 2825 x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). [para(2799(a,1),2821(a,1,2))]. 2826 (K(x,x \ 1) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). [para(2609(a,1),2783(a,1,1,1))]. 2827 R(1 / (1 / (1 / x)),x,y) = 1 / (1 / R(1 / x,x,y)). [para(2826(a,1),1419(a,1)),flip(a)]. 2829 T(R(1 / (1 / (1 / x)),x,y),x * y) = T(1 / (1 / (y / (x * y))),x * y). [para(2827(a,2),2215(a,1,1))]. 2830 T(1 / (1 / (x / (y * x))),y * x) = R(T(1 / (1 / (1 / y)),y * x),y,x). [para(2829(a,1),42(a,2)),flip(a)]. 2831 T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ ((1 * K(y,y \ 1)) * x). [para(2830(a,2),2562(a,1))]. 2832 T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ (K(y,y \ 1) * x). [para(11(a,1),2831(a,2,2,1))]. 2833 (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(2825(a,1),2803(a,1,1,2))]. 2834 K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). [para(2833(a,1),2802(a,1))]. 2835 K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). [para(15(a,1),2834(a,1,2)),flip(a)]. 2836 K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). [para(1238(a,1),2835(a,1,2))]. 2837 K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). [para(2472(a,1),2836(a,1,2))]. 2839 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2643(a,1),2810(a,1,2))]. 2840 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(57(a,1),2839(a,2,1,2,2))]. 2842 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1353(a,2),2840(a,2,1))]. 2843 (x * K(y,y \ 1)) \ T((1 / y) * x,K(y,y \ 1)) = T(y \ 1,x). [para(2804(a,2),2524(a,1))]. 2844 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) = K(T(x,y),x \ 1). [para(2756(a,2),647(a,1))]. 2845 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [para(2742(a,1),2743(a,1)),flip(a)]. 2846 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / ((T(x,z) / x) * y) = K(x \ 1,x). [para(840(a,1),2684(a,1,2,1))]. 2847 (((x \ 1) * T(x,y)) * z) / ((T(x,y) / x) * z) = K(x \ 1,x). [para(2670(a,1),2846(a,1,1))]. 2848 K(x \ 1,x) * ((T(x,y) / x) * z) = ((x \ 1) * T(x,y)) * z. [para(2847(a,1),16(a,1,1))]. 2849 ((x \ 1) * T(x,y)) \ (((x \ 1) * T(x,y)) * z) = L(z,T(x,y) / x,K(x \ 1,x)). [para(2848(a,1),2229(a,1,2))]. 2850 L(x,T(y,z) / y,K(y \ 1,y)) = x. [para(2849(a,1),13(a,1))]. 2851 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [para(2850(a,1),2844(a,1))]. 2852 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),x \ 1). [para(2851(a,1),2260(a,2))]. 2853 T(x,y) \ K(T(x,y),x \ 1) = T(1 / (1 / x),y) \ 1. [para(2851(a,1),2263(a,1,2))]. 2854 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),x \ 1). [para(2852(a,1),2239(a,2))]. 2856 T(x * L(x \ 1,T(x,y),1 / x),y) = K(T(x,y),x \ 1). [para(2854(a,1),1741(a,2))]. 2857 T(a(T(x,y),1 / x,x),y) = K(T(x,y),x \ 1). [para(2222(a,1),2856(a,1,1))]. 2858 T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(x,y) \ T(K(T(x,y),x \ 1),T(x,y)). [para(2857(a,1),2312(a,1,2,1)),flip(a)]. 2859 T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(x,y) \ K(T(x,y),x \ 1). [para(1627(a,1),2858(a,2,2))]. 2861 T(T(x,y) * (T(x,y) \ 1),T(x,y)) / T(x,y) = T(1 / (1 / x),y) \ 1. [para(2859(a,2),2853(a,1))]. 2862 T(1 / (1 / x),y) \ 1 = T(1,T(x,y)) / T(x,y). [para(14(a,1),2861(a,1,1,1)),flip(a)]. 2864 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(1617(a,1),2862(a,2,1))]. 2865 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2864(a,1),57(a,1,2))]. 2866 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(57(a,1),2864(a,1,1,1,2)),flip(a)]. 2868 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(106(a,1),2865(a,1,2,2)),flip(a)]. 2869 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2865(a,1),1196(a,1,1,1,2))]. 2870 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [para(2865(a,1),1394(a,2))]. 2871 K((1 / T(x,y)) \ 1,1 / T(x,y)) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2865(a,1),2630(a,2,1))]. 2872 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(57(a,1),2866(a,2,1,1))]. 2873 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(2866(a,1),59(a,1,1))]. 2874 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [para(2872(a,1),59(a,1,1))]. 2875 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(106(a,1),2874(a,1,1,1)),flip(a)]. 2876 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(105(a,2),2874(a,2,1)),flip(a)]. 2877 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ z) = T(x,y) \ ((1 / T(x,y)) \ z). [para(2874(a,1),2700(a,1,1))]. 2878 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). [para(2876(a,2),2447(a,1,2))]. 2879 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [para(2868(a,1),104(a,1,2)),flip(a)]. 2880 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [para(2868(a,1),127(a,1,1,2))]. 2881 (x * y) \ (K(x,x \ 1) * y) = 1 / (1 / ((x * y) \ y)). [para(2868(a,1),2832(a,1)),flip(a)]. 2882 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(2875(a,1),104(a,1,2)),flip(a)]. 2883 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2875(a,1),127(a,1,1,2))]. 2884 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [para(2875(a,1),291(a,1)),flip(a)]. 2885 (1 / (1 / ((x * y) / (x * z)))) * (x * z) = (x * z) * (1 / (1 / L(z \ y,z,x))). [para(91(a,2),2879(a,2,2,2,2))]. 2886 (x \ y) * ((((x \ y) \ y) \ 1) \ 1) = ((x \ 1) \ 1) * (x \ y). [para(57(a,1),2882(a,1,1,1,1)),flip(a)]. 2887 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(101(a,2),2882(a,1,1,1,1))]. 2888 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(2882(a,1),2778(a,2))]. 2889 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(13(a,1),2883(a,1,1,2,1,1))]. 2890 (x * K(y \ x,x \ y)) / y = ((x / y) \ 1) \ 1. [para(2574(a,2),2883(a,1,1))]. 2891 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(13(a,1),2884(a,2,1,1))]. 2892 T(x,((y * x) / y) \ 1) = T(x,x \ 1). [para(2891(a,2),105(a,2)),flip(a)]. 2893 T(x,y / (y * x)) = T(x,x \ 1). [para(2892(a,1),2078(a,1)),flip(a)]. 2894 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2893(a,1),104(a,1,2))]. 2896 (((x / y) \ 1) \ 1) * (x * (((x \ y) \ 1) \ 1)) = x. [para(2888(a,1),14(a,1,2))]. 2897 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(30(a,2),2888(a,1,1,1,1)),flip(a)]. 2898 x * (((x \ T(y,y \ x)) \ 1) \ 1) = (((y \ x) \ 1) \ 1) \ x. [para(159(a,1),2888(a,1,1,1,1)),flip(a)]. 2899 ((x / y) \ 1) \ (x * (((x \ y) \ 1) \ 1)) = (1 / (x / y)) \ ((x / y) \ x). [para(2888(a,1),2703(a,1,2))]. 2900 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2894(a,1),2470(a,1,1)),flip(a)]. 2901 (x * y) * (1 / (1 / ((x * y) \ y))) = K(x,x \ 1) * y. [para(2881(a,1),14(a,1,2))]. 2902 T(1 / (1 / ((x * y) \ y)),x) = (x * y) \ y. [para(2881(a,1),1492(a,1,1))]. 2903 (1 / (1 / ((x * y) \ y))) * x = x * ((x * y) \ y). [para(2902(a,1),104(a,1,2)),flip(a)]. 2904 1 / T((x * y) \ y,x) = ((x * y) \ y) \ 1. [para(2902(a,1),2864(a,1,1)),flip(a)]. 2905 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [para(2904(a,1),59(a,1,1)),flip(a)]. 2906 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [para(2905(a,1),2819(a,1))]. 2907 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(2634(a,1),2906(a,1,1,1,1))]. 2909 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(127(a,1),2869(a,1,1))]. 2911 K(x \ 1,x) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(2909(a,1),2708(a,1,2))]. 2912 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(18,a,1872,a,b,2911,a),flip(a)]. 2913 T(x,K(y \ 1,y)) = x. [hyper(35,a,2912,a)]. 2914 K(x \ 1,x) * y = y * K(x \ 1,x). [para(2912(a,1),104(a,1,2)),flip(a)]. 2915 T((x \ 1) * x,y) = K(x \ 1,x). [para(152(a,1),2912(a,1,1))]. 2916 K(x \ 1,x) * y != z * K(x \ 1,x) | y = z. [para(2912(a,1),132(a,1,2)),flip(a)]. 2917 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [para(2912(a,1),1860(a,2))]. 2921 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2510,a,2913,a)]. 2926 T(x,K(y,y \ 1)) = x. [para(1361(a,1),2913(a,1,2))]. 2927 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [para(2913(a,1),2460(a,1))]. 2928 T(x,K(y \ z,z \ y)) = x. [para(2568(a,1),2913(a,1,2))]. 2929 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [para(2913(a,1),2669(a,1)),flip(a)]. 2930 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [para(2913(a,1),2787(a,1)),flip(a)]. 2931 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(2913(a,1),2799(a,1)),flip(a)]. 2932 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(2135,a,2926,a),flip(a)]. 2933 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(35,a,2926,a)]. 2934 x * T(y,(x \ 1) \ 1) = y * x. [para(2926(a,1),2784(a,1)),flip(a)]. 2935 T(x,(y \ 1) \ 1) = T(x,y). [para(2926(a,1),2790(a,1)),flip(a)]. 2936 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [para(2926(a,1),2750(a,1)),flip(a)]. 2937 (x \ 1) * (y * K(x,x \ 1)) = (1 / x) * y. [para(2926(a,1),2797(a,1)),flip(a)]. 2938 (x * K(y,y \ 1)) \ ((1 / y) * x) = T(y \ 1,x). [para(2926(a,1),2843(a,1,2))]. 2939 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2135,a,2928,a),flip(a)]. 2940 T(x,1 / y) = T(x,y \ 1). [para(59(a,1),2935(a,1,2,1)),flip(a)]. 2941 T(x,T(y,y \ 1)) = T(x,y). [para(105(a,2),2935(a,1,2))]. 2942 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1317(a,2),2935(a,1,2))]. 2943 T(x,T(y \ z,z \ y)) = T(x,y \ z). [para(1976(a,2),2935(a,1,2))]. 2945 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(2762(a,2),2935(a,1,2))]. 2946 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(2763(a,1),2935(a,1,2)),flip(a)]. 2947 T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). [para(2873(a,1),2935(a,1,2)),flip(a)]. 2948 T(x,T((y \ 1) \ 1,z)) = T(x,T(y,z)). [para(2874(a,1),2935(a,1,2))]. 2949 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(2940(a,1),104(a,1,2))]. 2950 T(x / (1 / y),y \ 1) = (1 / y) \ x. [para(2940(a,1),106(a,1))]. 2953 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [para(2940(a,1),514(a,1))]. 2954 ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. [para(2940(a,1),847(a,2,1))]. 2955 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(2941(a,1),104(a,1,2))]. 2957 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(2941(a,1),432(a,1,2))]. 2959 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,T(K(z,z \ 1),y)). [para(2933(a,1),142(a,1,1,2))]. 2960 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [para(2933(a,1),1591(a,1,2)),flip(a)]. 2962 T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). [para(2933(a,1),2815(a,1,2))]. 2963 K(x \ 1,y) * x = x * K(x \ 1,y). [para(1814(a,1),2934(a,1,2)),flip(a)]. 2964 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2723,a,2914,a)]. 2965 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(21,a,2914,a)]. 2966 L(x \ 1,x,K(y \ 1,y)) = (x * K(y \ 1,y)) \ K(y \ 1,y). [para(2914(a,1),123(a,2,1))]. 2967 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2914(a,1),89(a,1,1))]. 2968 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2914(a,2),355(a,1,2))]. 2969 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [para(2914(a,2),711(a,1))]. 2970 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2914(a,2),210(a,1,1))]. 2971 ((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(2914(a,1),319(a,1,1))]. 2972 T(x * K(y \ 1,y),y) = K(y \ 1,y) * T(x,y). [para(2914(a,1),2178(a,1,1))]. 2973 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [para(2914(a,2),2404(a,1))]. 2974 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [para(2914(a,2),2408(a,1))]. 2975 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [para(2914(a,2),2445(a,1))]. 2976 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [para(2914(a,2),2453(a,1))]. 2977 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [para(2914(a,1),2630(a,1))]. 2978 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [para(2914(a,1),2665(a,2))]. 2979 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [para(2914(a,1),2706(a,1))]. 2980 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [para(2914(a,1),2709(a,1))]. 2981 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2914(a,1),2717(a,1,2))]. 2982 ((x \ 1) \ 1) * (y * K(x \ 1,x)) = x * y. [para(2914(a,1),2722(a,1,2))]. 2983 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [para(2914(a,1),2737(a,2))]. 2984 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2914(a,1),2723(a,1))]. 2987 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. [para(2914(a,1),2740(a,1))]. 2988 x * T(K(y \ 1,y),z) = K(y \ 1,y) * x. [para(2912(a,2),2914(a,2,2)),flip(a)]. 2989 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2917(a,1),747(a,1,1))]. 2992 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2741,a,2921,a),flip(a)]. 2993 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(2740,a,2921,a),flip(a)]. 2994 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(17,a,2630,a,b,2921,a)]. 2995 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2921(a,1),19(a,1)),flip(a)]. 2996 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2921(a,1),91(a,2,1))]. 2997 x * K(y,y \ 1) != z | K(y \ 1,y) * z = x. [para(2927(a,1),20(a,1)),flip(a)]. 2998 K(x \ 1,K(x \ 1,x) * y) = K(x \ 1,y). [para(2927(a,1),2837(a,1,2)),flip(a)]. 2999 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2932(a,2),355(a,1,2))]. 3000 (x * K(y,y \ 1)) \ ((T(x,K(y,y \ 1)) * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [para(2932(a,1),138(a,1,2))]. 3001 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [para(2932(a,2),2385(a,1))]. 3002 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [para(2932(a,2),2386(a,1))]. 3003 (x / y) * ((y \ 1) \ 1) = K(y,y \ 1) * x. [para(2932(a,2),2392(a,2))]. 3004 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [para(2932(a,2),2399(a,1,1))]. 3005 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [para(2932(a,2),2405(a,1,1))]. 3006 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2932(a,2),2461(a,1))]. 3007 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2932(a,2),2465(a,1))]. 3008 K(x,x \ 1) * (y * (1 / (1 / x))) = y * x. [para(2932(a,2),2558(a,1))]. 3009 (x / (1 / (1 / y))) * y = K(y,y \ 1) * x. [para(2932(a,2),2560(a,2))]. 3011 (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). [para(48(a,2),2949(a,2,2))]. 3012 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(59(a,1),2949(a,1,2,2))]. 3013 T(x,T(x,y) \ 1) = T(x,x \ 1). [para(2960(a,2),2060(a,1))]. 3014 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [para(2960(a,2),2064(a,1))]. 3016 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(3014(a,1),892(a,1,2))]. 3017 T(x,K(x \ 1,y)) = x. [hyper(131,a,2963,a)]. 3018 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2979(a,1),101(a,2,1))]. 3019 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [para(2979(a,1),2398(a,1,1)),flip(a)]. 3021 ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). [para(2929(a,1),2409(a,1,1)),flip(a)]. 3022 ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. [para(2929(a,1),2450(a,1,1))]. 3023 (1 / x) * ((y * (x \ 1)) * x) = (x \ 1) * R(y,x \ 1,x). [para(340(a,1),2930(a,1,2))]. 3024 T(x,R(y \ 1,(y \ 1) \ 1,z)) = T(x,R(1 / y,y,z)). [para(2771(a,2),2946(a,2,2)),flip(a)]. 3025 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(2955(a,1),2314(a,2,1))]. 3026 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(2957(a,2),365(a,2,1))]. 3027 ((x \ 1) \ 1) * (y * (x \ 1)) = x * (y * (1 / x)). [para(2973(a,1),2722(a,1,2))]. 3028 ((x \ 1) \ 1) * (y / ((x \ 1) \ 1)) = x * (y / x). [para(2975(a,1),2722(a,1,2))]. 3029 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(2977(a,1),2398(a,1,1))]. 3030 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2980(a,1),2398(a,1,1))]. 3031 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2568(a,1),2980(a,1,2))]. 3032 (((x \ y) \ 1) \ 1) * (y * (((y \ x) \ 1) \ 1)) = (x \ y) * x. [para(1982(a,1),2982(a,1,2))]. 3033 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2983(a,1),2809(a,1,1))]. 3034 K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). [para(2993(a,1),2837(a,1,2))]. 3035 K(x,x \ 1) * (((x \ y) / y) * x) = x * ((x \ y) / y). [para(3001(a,2),2057(a,1))]. 3036 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(3001(a,1),2729(a,1,2,1))]. 3037 K(x,x \ 1) * y != (z / x) * ((x \ 1) \ 1) | y = z. [para(3003(a,2),19(a,2))]. 3038 L(K(x,x \ 1) * y,z,u) * K(x \ 1,x) = (x \ L(x * (y / x),z,u)) * x. [para(3003(a,1),2469(a,1,1,1))]. 3039 ((x \ 1) \ 1) * (x \ y) = (y / x) * ((x \ 1) \ 1). [para(3003(a,2),2657(a,2))]. 3040 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2625(a,1),3005(a,1,1)),flip(a)]. 3041 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(2683(a,1),3005(a,1,1))]. 3042 (1 / (1 / x)) * ((y / (1 / (1 / x))) * x) = x * y. [para(3009(a,2),2646(a,1,2))]. 3043 (1 / (1 / x)) * y != z * (1 / (1 / x)) | T(z,x) = y. [para(3012(a,1),19(a,1)),flip(a)]. 3044 (1 / (1 / x)) * (x \ y) = (y / x) * (1 / (1 / x)). [para(106(a,1),3012(a,1,2))]. 3045 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [para(3016(a,1),434(a,1,1))]. 3047 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(2682(a,1),3019(a,1,1))]. 3048 (x * K(y,y \ 1)) * (y \ 1) = x * (1 / y). [para(2932(a,1),3019(a,1,1))]. 3049 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(2701(a,1),2953(a,1,1,1))]. 3050 (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). [para(2938(a,1),2583(a,1)),flip(a)]. 3052 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(68,a,3050,a)]. 3053 K(x \ (x / y),x) = (y \ 1) \ T(y \ 1,x). [para(3052(a,2),745(a,2))]. 3054 K(x \ (x / ((y \ 1) \ 1)),x) = K(x \ (x / y),x). [para(3053(a,2),748(a,2))]. 3055 K(x \ y,y \ x) * x = y * (1 / (1 / (y \ x))). [para(2939(a,2),2013(a,1))]. 3056 K(x \ y,y \ x) * y = x * (((x \ y) \ 1) \ 1). [para(2939(a,2),2574(a,1))]. 3057 T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(57(a,1),2954(a,1,1,2)),flip(a)]. 3059 (x * (y * (z * K(u \ 1,u)))) \ ((x * y) * (K(u \ 1,u) * z)) = a(x,y,z * K(u \ 1,u)). [para(2965(a,2),24(a,2,2)),flip(a)]. 3061 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1039(a,1),2969(a,2,2))]. 3062 T((K(x \ 1,x) / y) * T(y,x),y) = y \ T(y * K(x \ 1,x),x). [para(2972(a,2),1171(a,2,2))]. 3063 ((x \ 1) * (x * y)) / (x \ 1) = L(y,x,x \ 1) / (1 / x). [para(2634(a,1),3021(a,1,1)),flip(a)]. 3064 ((1 / x) * K(y,x \ 1)) * x = K(y,x \ 1). [para(3022(a,1),1756(a,1))]. 3065 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [hyper(74,a,3064,a),flip(a)]. 3066 (((x \ y) \ 1) \ 1) * (y / (((x \ y) \ 1) \ 1)) = (x \ y) * x. [para(57(a,1),3028(a,2,2))]. 3069 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) != y * z | K(x \ y,x) = z. [para(3040(a,2),296(a,1))]. 3070 (1 / (1 / x)) * (y / (1 / (1 / x))) = x * (y / x). [para(1266(a,1),3042(a,1,2))]. 3071 L(K(x \ (x / y),x),y \ 1,x) = K(y \ 1,x). [para(3054(a,1),758(a,1,1))]. 3072 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(745(a,1),3071(a,1,1))]. 3073 K(1 / x,y) = K(x \ 1,y). [para(3072(a,1),2436(a,1)),flip(a)]. 3074 K((x \ 1) \ 1,y) = K(x,y). [para(57(a,1),3073(a,1,1)),flip(a)]. 3075 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(3073(a,1),848(a,1))]. 3077 (x \ 1) * K(x \ 1,y) = x \ K(x \ 1,y). [para(3073(a,1),2801(a,2,2))]. 3078 K(T(x,x \ 1),y) = K(x,y). [para(105(a,2),3074(a,1,1))]. 3079 K(T(x \ y,y \ x),z) = K(x \ y,z). [para(1976(a,2),3074(a,1,1))]. 3081 T(K(x,y),x) = K(x,y). [para(3074(a,1),2544(a,2))]. 3082 K(x,y) * x = x * K(x,y). [para(3074(a,1),2545(a,1,2)),flip(a)]. 3083 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [para(3074(a,1),2581(a,2))]. 3084 K(T((x \ 1) \ 1,y),z) = K(T(x,y),z). [para(2874(a,1),3074(a,1,1))]. 3085 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(2906(a,1),3074(a,1,1)),flip(a)]. 3086 T(x,K(x,y)) = x. [hyper(35,a,3081,a)]. 3088 T(K(x,y),z) * x = x * T(K(x,y),z). [para(3081(a,1),144(a,1,2,1)),flip(a)]. 3089 L(K(x,y),z,u) * x = x * L(K(x,y),z,u). [para(3081(a,1),145(a,1,2,1)),flip(a)]. 3090 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3081(a,1),146(a,1,2,1)),flip(a)]. 3091 K(x,K(x,y)) = 1. [hyper(36,a,3086,a)]. 3092 T(T(x,y),K(x,z)) = T(x,y). [para(3086(a,1),38(a,1,1)),flip(a)]. 3093 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3086(a,1),144(a,1,2,1)),flip(a)]. 3094 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3086(a,1),145(a,1,2,1)),flip(a)]. 3095 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3086(a,1),146(a,1,2,1)),flip(a)]. 3096 T((x * y) / x,K(y,z)) = (x * y) / x. [para(3086(a,1),290(a,1,1,2)),flip(a)]. 3097 (x * K(y,z)) \ (x * (y * K(y,z))) = L(y,K(y,z),x). [para(3086(a,1),139(a,2,1))]. 3100 T(K(x,y),T(x,z)) = K(x,y). [hyper(35,a,3092,a)]. 3101 T(x,y) * z != K(x,u) * T(x,y) | K(x,u) = z. [para(3092(a,1),132(a,1,2)),flip(a),flip(b)]. 3102 T(T(K(x,y),z),T(x,u)) = T(K(x,y),z). [para(3100(a,1),38(a,1,1)),flip(a)]. 3105 K(T(T(x,y),x \ 1),z) = K(T(x,y),z). [para(195(a,2),3084(a,1,1))]. 3106 T(x,T(K(x,y),z)) = x. [hyper(131,a,3088,a)]. 3107 T(K(x,y),(z * x) / z) = K(x,y). [hyper(35,a,3096,a)]. 3108 T(K(x \ y,z),y / x) = K(x \ y,z). [para(14(a,1),3107(a,1,2,1))]. 3110 T(K(x \ y,z),u) * (y / x) = (y / x) * T(K(x \ y,z),u). [para(3108(a,1),144(a,1,2,1)),flip(a)]. 3111 T(x,L(K(x,y),z,u)) = x. [hyper(131,a,3089,a)]. 3112 R(L(K(x,y),z,u),x,1 / x) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(3089(a,1),1360(a,2,1))]. 3113 T(x,R(K(x,y),z,u)) = x. [hyper(131,a,3090,a)]. 3114 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(3090(a,1),337(a,1))]. 3115 K(x,R(K(x,y),z,u)) = 1. [hyper(36,a,3113,a)]. 3116 L(x,y,z) * K(x,u) != w * L(x,y,z) | K(x,u) = w. [para(3094(a,2),20(a,1))]. 3117 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(131,a,3095,a)]. 3118 K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). [hyper(18,a,2901,a(flip),b,3055,a)]. 3119 K(T(x,y),(x * y) \ y) = K(x,x \ 1). [para(32(a,2),3118(a,1,1))]. 3120 ((x * y) \ y) * K(x,x \ 1) = 1 / (1 / ((x * y) \ y)). [para(3118(a,1),2573(a,1,2))]. 3121 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [para(3119(a,1),1987(a,2))]. 3122 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [para(3121(a,1),1354(a,1,2))]. 3123 (T(x,y) \ 1) * K(x,x \ 1) = 1 / T(x,y). [para(3121(a,1),1356(a,1,2))]. 3126 K(T(x / y,z),T(x / y,z) \ 1) = K(x / y,y / x). [para(3121(a,2),2603(a,1))]. 3128 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [para(3122(a,1),1355(a,1)),flip(a)]. 3129 (1 / x) * (T(x,y) \ x) = 1 / T(x,y). [para(3122(a,1),2962(a,1)),flip(a)]. 3130 (1 / x) \ (1 / T(x,y)) = (x \ T(x,y)) \ 1. [para(3128(a,1),2791(a,1,2))]. 3131 (1 / x) \ (1 / T(x,y)) = T(x,y) \ x. [hyper(68,a,3129,a)]. 3132 K(x \ 1,x) * (1 / T(x,y)) = T(x,y) \ 1. [hyper(2997,a,3123,a)]. 3133 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [hyper(2463,a,3123,a)]. 3134 (x \ T(x,y)) \ 1 = T(x,y) \ x. [para(3130(a,1),3131(a,1))]. 3135 (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),3134(a,1,1,2))]. 3136 x * ((y \ T(y,z)) * (T(y,z) \ y)) = x. [para(3134(a,1),52(a,1,2,2))]. 3137 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(106(a,1),3134(a,1,1,2)),flip(a)]. 3138 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1131(a,1),3134(a,1,1,2)),flip(a)]. 3139 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [para(3134(a,1),2250(a,2))]. 3140 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3052(a,1),3134(a,1,1))]. 3141 (x * (y \ T(y,z))) * (T(y,z) \ y) = R(x,y \ T(y,z),T(y,z) \ y). [hyper(18,a,100,a,b,3136,a)]. 3142 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [para(3139(a,1),14(a,1,2))]. 3143 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(1383,a,3132,a)]. 3144 x \ (x / T(x,y)) = T(x,y) \ 1. [para(3132(a,1),2911(a,1)),flip(a)]. 3145 x * (T(x,y) \ 1) = x / T(x,y). [para(3144(a,1),14(a,1,2))]. 3146 T(1 / T(x,y),x) = T(x,y) \ 1. [para(3144(a,1),1195(a,2))]. 3147 x / T(x,y) = T(x,y) \ x. [para(3145(a,1),884(a,1))]. 3148 (T(x,y) \ x) * T(x,y) = x. [para(3147(a,1),16(a,1,1))]. 3149 (T(x,y) \ x) \ x = T(x,y). [para(3147(a,1),59(a,1,1))]. 3150 (1 / T(x,y)) * x = T(x,y) \ x. [para(3147(a,1),1190(a,2))]. 3151 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(3147(a,1),1221(a,1,1))]. 3152 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [para(3147(a,1),1271(a,2))]. 3153 L(x,T(x,y) \ x,x) = x. [para(3148(a,1),1708(a,2))]. 3154 (x * y) * T(K(y,x),x) = y * x. [para(3153(a,1),1707(a,1,2)),flip(a)]. 3155 (T(x,y) \ x) / x = 1 / T(x,y). [para(3149(a,1),2273(a,1,2)),flip(a)]. 3156 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [para(3146(a,1),2989(a,2))]. 3157 T(K(x,y),y) = K(x,y). [hyper(187,a,3154,a),flip(a)]. 3158 T(x,K(y,x)) = x. [hyper(35,a,3157,a)]. 3159 K(x,y) * y = y * K(x,y). [para(3157(a,1),104(a,1,2)),flip(a)]. 3160 (x * K(y,x)) / x = K(y,x). [para(3157(a,1),127(a,1,1,2))]. 3161 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(3157(a,1),145(a,1,2,1)),flip(a)]. 3162 x * R(K(y,x),z,z \ x) = (K(y,x) * z) * (z \ x). [para(3157(a,1),477(a,1,2,1))]. 3163 T(T(x,y),K(z,x)) = T(x,y). [para(3158(a,1),38(a,1,1)),flip(a)]. 3164 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(3158(a,1),144(a,1,2,1)),flip(a)]. 3165 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(3158(a,1),145(a,1,2,1)),flip(a)]. 3166 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(3158(a,1),146(a,1,2,1)),flip(a)]. 3167 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(3158(a,1),280(a,1,2,1,1)),flip(a)]. 3168 R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). [para(3158(a,1),411(a,1,2,1,1)),flip(a)]. 3169 T(x,y * T(y \ 1,x)) = x. [para(745(a,1),3158(a,1,2))]. 3170 T(x,y \ T(y,x)) = x. [para(748(a,1),3158(a,1,2))]. 3171 T(x,x \ ((y * x) / y)) = x. [para(1179(a,1),3158(a,1,2))]. 3172 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(3158(a,1),1769(a,1,1,1)),flip(a)]. 3173 (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). [para(3158(a,1),2236(a,1,2,1)),flip(a)]. 3174 T(x \ T(x,y),y) = x \ T(x,y). [hyper(35,a,3170,a)]. 3175 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(3170(a,1),104(a,1,2))]. 3176 T(x,y) * (z \ T(z,x)) = (z \ T(z,x)) * T(x,y). [para(3170(a,1),144(a,1,2,1)),flip(a)]. 3177 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(3159(a,1),100(a,1,2))]. 3178 (((x / y) * K(z,x / y)) * y) / x = R(K(z,x / y),x / y,y). [para(3159(a,1),102(a,1,1,1))]. 3179 (x * y) \ ((x * K(z,x)) * y) = R(T(K(z,x),x * y),x,y). [para(3159(a,1),584(a,1,2,1))]. 3180 R(K(x,y),y,T(z,y * K(x,y))) \ (z * (y * K(x,y))) = y * T(z,y * K(x,y)). [para(3160(a,1),383(a,1,1,1))]. 3181 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [para(3160(a,1),881(a,2))]. 3182 T(K(x,y),T(y,z)) = K(x,y). [hyper(35,a,3163,a)]. 3183 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(35,a,3169,a)]. 3184 ((x * y) / x) / y = y \ ((x * y) / x). [para(3171(a,1),159(a,1,2))]. 3185 K(K(x,y),T(y,z)) = 1. [hyper(36,a,3182,a)]. 3186 T(x,y) * K(z,x) != u * T(x,y) | K(z,x) = u. [para(3182(a,1),133(a,1,2)),flip(b)]. 3187 T((T(x,y) \ K(z,x)) * T(x,y),T(x,y)) = (T(x,y) \ K(z,x)) * T(x,y). [para(3182(a,1),1831(a,2,1,2))]. 3188 K(x \ T(x,y),T(y,z)) = 1. [para(748(a,1),3185(a,1,1))]. 3189 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(37,a,3188,a)]. 3190 K(T(x \ 1,y) \ 1,T(x \ 1,y)) = K(x,x \ 1). [para(3143(a,2),1432(a,1))]. 3191 K((x * y) \ y,T(x,y)) = K(x \ 1,x). [para(3143(a,1),2570(a,1)),flip(a)]. 3192 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [para(3143(a,1),2593(a,1))]. 3193 L(x,K(y \ 1,y),T(T(y,z),u)) = x. [para(3143(a,1),2798(a,1,2))]. 3194 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3143(a,1),2870(a,1,2))]. 3195 R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(3193(a,1),2310(a,1,2)),flip(a)]. 3196 (x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z) = L(x \ z,x,T(x,y) \ x). [para(3151(a,1),91(a,2,1)),flip(a)]. 3197 x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). [para(3175(a,1),899(a,1,2,2))]. 3198 x * (((y * x) / y) / x) = (y * x) / y. [para(3184(a,2),14(a,1,2))]. 3199 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(560(a,1),3184(a,1,1)),flip(a)]. 3200 (1 / x) * ((y * x) / y) = x \ ((y * x) / y). [para(3184(a,1),1149(a,2))]. 3201 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [para(32(a,1),3191(a,1,2))]. 3204 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1110(a,1),3198(a,1,2))]. 3205 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(3133(a,2),884(a,1,2))]. 3206 T(x,L(K(y,x),z,u)) = x. [hyper(131,a,3161,a)]. 3207 T(K(x,y),L(y,z,u)) = K(x,y). [hyper(131,a,3165,a)]. 3208 ((x * L(y,z,u)) * K(w,y)) / (K(w,y) * L(y,z,u)) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [para(3207(a,1),142(a,1,1,2))]. 3209 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(3166(a,1),19(a,1)),flip(a)]. 3210 (x * (R(y,z,u) * K(w,y))) / (K(w,y) * L(R(y,z,u),K(w,y),x)) = R(x,K(w,y),L(R(y,z,u),K(w,y),x)). [para(3166(a,2),310(a,1,1,2))]. 3211 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(3183(a,1),1810(a,1,2)),flip(a)]. 3212 K(x / y,y / x) = K(y \ x,x \ y). [para(3192(a,1),2483(a,1)),flip(a)]. 3213 K(T(x / y,z) \ 1,T(x / y,z)) = K(x \ y,y \ x). [para(3192(a,1),3143(a,2))]. 3214 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [para(3212(a,1),2603(a,2))]. 3215 x * (T(x,y) / x) = T(x,y). [hyper(18,a,1525,a,b,3194,a),flip(a)]. 3217 T(x,y) / x = x \ T(x,y). [hyper(68,a,3215,a),flip(a)]. 3218 (x \ T(x,y)) * x = T(x,y). [para(3215(a,1),60(a,1,1,2))]. 3219 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3217(a,1),101(a,1,1))]. 3220 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3217(a,1),343(a,1,1))]. 3221 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [para(3217(a,1),840(a,2))]. 3222 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [para(3217(a,1),1069(a,1))]. 3223 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((y \ T(y,x)) * x). [para(3217(a,1),1005(a,2,2,1))]. 3224 (x \ T(x,y)) / (y \ 1) = y * (T(x,y) / x). [para(3217(a,1),1699(a,1,1))]. 3225 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3217(a,1),1765(a,1,1,2))]. 3226 T(x,x \ T(x,y)) = x. [hyper(204,a,3218,a)]. 3227 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3218(a,1),28(a,2,1)),flip(a)]. 3228 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(105(a,1),3218(a,1,1,2))]. 3229 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3218(a,1),89(a,1,1))]. 3230 T(x,y) = K(y \ (y / (x \ 1)),y) * x. [para(748(a,2),3218(a,1,1)),flip(a)]. 3231 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [para(3218(a,1),1130(a,2))]. 3232 K(x,x \ T(x,y)) = 1. [hyper(36,a,3226,a)]. 3233 T(x,y) * (x \ T(x,z)) = (x \ T(x,z)) * T(x,y). [para(3226(a,1),144(a,1,2,1)),flip(a)]. 3234 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(748(a,2),3226(a,1,2))]. 3235 K(x,T(x,y) / x) = 1. [para(3217(a,2),3232(a,1,2))]. 3236 T(1 / x,T(x,y)) = x \ 1. [para(3235(a,1),943(a,1,2)),flip(a)]. 3237 T(x,T(x \ 1,y)) = (x \ 1) \ 1. [para(57(a,1),3236(a,1,1))]. 3238 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3236(a,1),148(a,1,1)),flip(a)]. 3239 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3236(a,1),259(a,2,1))]. 3240 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3236(a,1),837(a,1,1)),flip(a)]. 3241 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [para(3236(a,1),1072(a,1)),flip(a)]. 3243 (((x * y) / x) \ y) \ y = (x * y) / x. [para(3234(a,1),783(a,1)),flip(a)]. 3244 T(x,T(x \ 1,y)) = T(x,x \ 1). [para(3237(a,2),105(a,2)),flip(a)]. 3246 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(3238(a,1),1854(a,1,1,2)),flip(a)]. 3249 T(x,T(1 / x,y)) = T(x,x \ 1). [para(3244(a,1),2947(a,2))]. 3250 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3249(a,1),2163(a,1,1))]. 3253 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(3230(a,2),408(a,1,2,2))]. 3254 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(3243(a,1),14(a,1,2))]. 3255 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(718(a,1),3243(a,1,1,1,1))]. 3256 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2641(a,1),3254(a,1,1,1,1))]. 3257 T(x,x / (y * x)) = T(x,x / (x * y)). [para(125(a,1),3231(a,1,2))]. 3258 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [para(3231(a,1),2946(a,1)),flip(a)]. 3259 x \ T(x,x / (y * x)) = K(x,(x / y) / x). [para(3257(a,2),1127(a,1,2))]. 3260 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(127(a,1),3241(a,1,3,2))]. 3262 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(3214(a,1),1371(a,1,1))]. 3263 K(x / (x / y),(x / (x / y)) \ 1) = K(y,y \ 1). [para(3214(a,2),2017(a,1))]. 3264 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(3214(a,2),2574(a,1,2))]. 3265 (x \ T(x,y)) / (y \ 1) = y * (x \ T(x,y)). [para(3217(a,1),3224(a,2,2))]. 3267 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3238(a,1),3240(a,1,2)),flip(a)]. 3268 K(x \ 1,T(x,y)) = (x \ 1) * x. [para(3267(a,2),104(a,1))]. 3270 K(x \ 1,T(x,y)) = K(x \ 1,x). [para(3268(a,2),152(a,2)),flip(a)]. 3272 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3270(a,1),681(a,1,1,2))]. 3273 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [para(3265(a,1),16(a,1,1))]. 3274 R(x,y,z) \ T(R(x,y,z),R(x \ 1,(x \ 1) \ 1,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(718(a,1),3222(a,2,2,1))]. 3275 T(x,y \ ((x * y) / x)) = x. [para(3222(a,1),3226(a,1,2))]. 3276 T(x,T(y,x) \ y) = x. [para(127(a,1),3275(a,1,2,2))]. 3277 T(T(x,y) \ x,y) = T(x,y) \ x. [hyper(35,a,3276,a)]. 3278 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3276(a,1),104(a,1,2))]. 3279 K(K(x,y),T(z,y) \ z) = 1. [para(3277(a,1),2109(a,1,2))]. 3280 K(x \ T(x,y),T(z,y) \ z) = 1. [para(748(a,1),3279(a,1,1))]. 3281 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(3280(a,1),1991(a,1,2)),flip(a)]. 3282 ((T(x,y) \ x) \ 1) \ 1 = T(x,y) \ x. [para(3280(a,1),2572(a,1,2))]. 3283 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [para(3278(a,1),1070(a,2))]. 3284 x \ ((x * (T(y,x) \ y)) \ x) = ((T(y,x) \ y) * x) \ 1. [para(3278(a,1),1114(a,1,2,1))]. 3285 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3278(a,1),1533(a,1,1,2,1))]. 3286 1 / (x \ T(x,y)) = T(x,y) \ x. [para(3281(a,2),3134(a,1))]. 3287 (T(x,y) \ x) \ 1 = x \ T(x,y). [para(3286(a,1),59(a,1,1))]. 3288 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3222(a,1),3286(a,1,2)),flip(a)]. 3289 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(3287(a,2),14(a,1,2))]. 3290 R(x,T(y,z) \ y,(T(y,z) \ y) \ 1) = (x * (T(y,z) \ y)) * (y \ T(y,z)). [para(3287(a,1),154(a,1,2)),flip(a)]. 3291 1 / T(T(x,y) \ x,z) = T(T(x,y) \ x,z) \ 1. [para(3282(a,1),2872(a,1,2,1))]. 3292 x * (((x \ y) \ 1) \ 1) != z * y | K(x \ y,y \ x) = z. [para(3056(a,1),20(a,1))]. 3293 (x * y) * ((((x * y) \ y) \ 1) \ 1) = K(x \ 1,x) * y. [para(3201(a,1),3056(a,1,1)),flip(a)]. 3294 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(106(a,1),3137(a,1,1)),flip(a)]. 3295 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(13(a,1),3294(a,1,1,2)),flip(a)]. 3296 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(759(a,2),3140(a,1,1)),flip(a)]. 3297 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(947(a,1),3140(a,1,1)),flip(a)]. 3298 T(x \ 1,T(x,y) \ x) = x \ 1. [para(3152(a,1),1658(a,1,2))]. 3299 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3152(a,1),2494(a,1,1,2)),flip(a)]. 3300 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(35,a,3298,a)]. 3301 (T(x,y) \ x) * (x \ 1) = (x \ 1) * (T(x,y) \ x). [para(3298(a,1),104(a,1,2))]. 3302 (K(x,y) \ y) * K(x,y) = y. [hyper(17,a,82,a(flip),b,3172,a)]. 3303 x / K(y,x) = K(y,x) \ x. [hyper(74,a,3302,a)]. 3304 R(K(x,y) \ y,K(x,y),z) = (y * z) / (K(x,y) * z). [para(3302(a,1),30(a,2,1,1))]. 3305 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = (K(x,y) * T(y,u)) * z. [para(3173(a,1),2360(a,2,1))]. 3308 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [para(3205(a,1),2528(a,2))]. 3309 (x \ T(x,y)) * T(x,z) = T(x,y) * (x \ T(x,z)). [para(3233(a,1),940(a,1))]. 3310 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(105(a,1),3250(a,1,1))]. 3312 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(584(a,1),3262(a,1,1,2))]. 3316 K(x,x \ 1) * (y * (z / (z / x))) = y * (((z / (z / x)) \ 1) \ 1). [para(3263(a,1),3002(a,1,1))]. 3317 (T(x,y) \ x) * (x \ 1) = T(x,y) \ 1. [para(3301(a,2),3142(a,1))]. 3318 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3308(a,1),2930(a,1,2)),flip(a)]. 3319 (T(x,y) * T(x,z)) / ((x \ T(x,y)) * T(x,z)) = x. [para(3309(a,2),870(a,1,2))]. 3320 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3310(a,1),28(a,2,1)),flip(a)]. 3321 R(x,x \ T(x,y),T(x,z)) = x. [para(3319(a,1),98(a,2))]. 3322 L(x,x \ T(x,y),x) = x. [para(3321(a,1),936(a,1,1))]. 3323 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2978(a,2),3033(a,1,1))]. 3324 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(3024(a,2),1075(a,2)),flip(a)]. 3325 (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). [para(3035(a,1),2698(a,1)),flip(a)]. 3326 (((x * y) \ y) * K(x,x \ 1)) * x = x * ((x * y) \ y). [para(3120(a,2),2903(a,1,1))]. 3327 (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. [hyper(22,a,3168,a)]. 3330 (x * (((x \ y) \ 1) \ 1)) * ((y / x) \ 1) = y * (1 / (y / x)). [para(3264(a,1),3048(a,1,1))]. 3331 x \ ((x * (T(y,x) \ y)) \ x) = (x * (T(y,x) \ y)) \ 1. [para(3278(a,1),3284(a,2,1))]. 3332 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(13(a,1),3295(a,1,1)),flip(a)]. 3333 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(3332(a,1),57(a,1,2))]. 3334 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [para(3333(a,1),3288(a,2))]. 3335 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(127(a,1),3334(a,2,1))]. 3336 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [para(3334(a,1),890(a,1,2)),flip(a)]. 3337 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [para(3335(a,1),3155(a,1,1)),flip(a)]. 3338 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3283(a,1),3335(a,1,1))]. 3339 (x * (T(y,x) \ y)) * (y \ T(y,x)) = x. [para(3338(a,1),14(a,1,2))]. 3340 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(3338(a,1),57(a,1,2))]. 3341 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(753(a,1),3340(a,1,2,2))]. 3342 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(3336(a,1),3013(a,1,2))]. 3343 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(127(a,1),3342(a,1,2,2,1))]. 3344 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(753(a,1),3343(a,1,2,2,2))]. 3345 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3318(a,1),2150(a,1,1)),flip(a)]. 3346 ((x * y) \ y) * ((x \ 1) \ 1) = x * ((x * y) \ y). [para(3326(a,1),2405(a,1)),flip(a)]. 3347 T(x,(x * y) \ y) = (x \ 1) \ 1. [hyper(131,a,3346,a)]. 3348 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [para(16(a,1),3347(a,1,2,1))]. 3349 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(3348(a,1),2497(a,1,1)),flip(a)]. 3350 (x * (T(y,x) \ y)) \ 1 = x \ (y \ T(y,x)). [para(3338(a,1),3331(a,1,2)),flip(a)]. 3351 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2970(a,1),171(a,2))]. 3352 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(2690,a,3023,a(flip))]. 3353 L(x / (y \ 1),y \ 1,y) = L(x,y,y \ 1) / (1 / y). [para(3063(a,1),558(a,1)),flip(a)]. 3354 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(13(a,1),3138(a,2,1))]. 3356 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3227(a,1),899(a,1,2)),flip(a)]. 3357 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(14(a,1),3356(a,1,1)),flip(a)]. 3358 L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. [para(3356(a,2),19(a,1))]. 3359 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [para(3229(a,1),1732(a,2))]. 3360 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(3283(a,1),3337(a,1,2))]. 3361 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(3052(a,1),3360(a,2,1))]. 3362 (x \ y) * ((((x \ y) \ y) \ 1) \ 1) = K(x,x \ 1) * y. [para(2886(a,2),2657(a,1))]. 3363 K((x \ y) \ y,y \ (x \ y)) = K(x,x \ 1). [hyper(3292,a,3362,a)]. 3364 (x * K(y,y \ 1)) / (y \ x) = ((x / (y \ x)) \ 1) \ 1. [para(3363(a,1),2890(a,1,1,2))]. 3365 ((x / (y \ x)) \ 1) \ 1 = (z * K(y,y \ 1)) / (y \ z). [para(199(a,1),3364(a,2,1,1)),flip(a)]. 3366 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(18,a,3030,a,b,2900,a),flip(a)]. 3367 T(1 / (1 / x),y / (y * x)) = x. [hyper(131,a,3366,a(flip))]. 3368 T(1 / (1 / x),(y / x) / y) = x. [para(16(a,1),3367(a,1,2,2))]. 3369 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(3368(a,1),128(a,1,2,2))]. 3370 (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(1141(a,2),3369(a,1,2))]. 3371 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2017(a,1),3031(a,1,2))]. 3373 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(17,a,3032,a,b,3066,a)]. 3374 (x * (((x \ y) \ 1) \ 1)) \ x = ((y \ x) \ 1) \ 1. [para(3373(a,1),59(a,1,1))]. 3375 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(2940(a,1),3075(a,2,1,1))]. 3376 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3217(a,1),3225(a,2,2,1,2))]. 3377 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [para(3285(a,2),3278(a,1))]. 3379 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3338(a,1),3377(a,1,1,2))]. 3380 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(17,a,3376,a(flip),b,3379,a(flip)),flip(a)]. 3381 (x * (y \ T(y,x))) * (T(y,x) \ y) = x. [para(3380(a,1),14(a,1,2))]. 3382 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(3004(a,1),3049(a,1,1))]. 3383 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(281(a,1),3220(a,2,1))]. 3384 T(x,R((y \ z) \ 1,((y \ z) \ 1) \ 1,x)) = (y \ (z * ((x * (z \ y)) / x))) * x. [para(1150(a,1),3324(a,2,1))]. 3385 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(3150(a,1),3345(a,1,1)),flip(a)]. 3386 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). [para(3143(a,1),2878(a,2,2))]. 3387 (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). [para(105(a,1),3386(a,1,2,1))]. 3389 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). [para(3387(a,1),16(a,1,1))]. 3390 (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),3135(a,2,1))]. 3391 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(2301(a,1),3246(a,1,1))]. 3392 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(104(a,1),3391(a,2,1))]. 3393 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [para(3392(a,2),2915(a,1))]. 3394 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(3393(a,1),2302(a,1,1)),flip(a)]. 3396 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [para(3394(a,2),3156(a,1))]. 3398 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(3396(a,1),3393(a,1,1))]. 3406 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3296(a,1),3260(a,1,3))]. 3407 T(x,K(y,x) \ 1) = x. [para(3296(a,1),3276(a,1,2))]. 3408 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3407(a,1),104(a,1,2))]. 3409 (K(x,y) \ y) / (K(x,y) \ 1) = (K(x,y) \ 1) \ (K(x,y) \ y). [para(3407(a,1),655(a,1,1,2))]. 3410 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3408(a,1),123(a,2,1)),flip(a)]. 3411 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [para(3410(a,2),3406(a,1))]. 3413 (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. [para(3327(a,1),65(a,1))]. 3414 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1352(a,1),3371(a,1,2))]. 3415 R(T(x,x \ 1),y,z) \ R(x,y,z) = a(R(x,y,z),1 / x,x) \ 1. [para(1442(a,1),3390(a,1,1)),flip(a)]. 3416 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(104(a,2),3114(a,2,1,1,1))]. 3417 R(x,y \ T(y,x),T(y,x) \ y) = x. [para(3141(a,1),3381(a,1))]. 3418 R(x,(((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)),T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x. [para(753(a,1),3417(a,1,2,2))]. 3419 T(T(x,x \ 1),y) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(1305(a,1),3195(a,1,1))]. 3420 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = ((x \ T(x,y)) * x) * z. [para(152(a,2),3419(a,1,2,1))]. 3421 K(x \ 1,x) * (T(T(x,x \ 1),y) * z) = ((x \ T(x,y)) * x) * z. [para(3420(a,1),2845(a,1)),flip(a)]. 3422 T(x,x \ 1) * (((x \ T(x,y)) * x) * z) = x * (T(T(x,x \ 1),y) * z). [para(3421(a,1),2718(a,1,2))]. 3423 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * (x * (y \ T(y,x))). [para(3175(a,1),3223(a,2,2))]. 3424 R((1 / x) * ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). [para(3423(a,2),300(a,1))]. 3425 R(x \ ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). [para(3200(a,1),3424(a,1,1))]. 3426 T(T(x,y) / (y * (y \ x)),y) = L(x \ T(x,y),y,1 / y). [para(3425(a,1),917(a,1)),flip(a)]. 3427 L(x \ T(x,y),y,1 / y) = T(T(x,y) / x,y). [para(14(a,1),3426(a,1,1,2)),flip(a)]. 3428 L(x \ T(x,y),y,1 / y) = T(x \ T(x,y),y). [para(3217(a,1),3427(a,2,1))]. 3429 L(x \ T(x,y),y,1 / y) = x \ T(x,y). [para(3428(a,2),3174(a,1))]. 3430 (x \ T(x,y)) / (y * (x \ T(x,y))) = 1 / y. [para(3429(a,1),303(a,1,1))]. 3431 R(1 / x,x,y \ T(y,x)) = 1 / x. [para(3430(a,1),125(a,2))]. 3432 R(1 / x,x,y * T(y \ 1,x)) = 1 / x. [para(484(a,1),3431(a,1,3))]. 3433 R(1 / x,x,K(y,x)) = 1 / x. [para(755(a,2),3432(a,1,3))]. 3434 K(x,y) / (y * K(x,y)) = 1 / y. [para(3433(a,1),125(a,1)),flip(a)]. 3435 (1 / x) \ K(y,x) = x * K(y,x). [para(3433(a,1),262(a,1,1))]. 3436 (1 / x) * (x * K(y,x)) = K(y,x). [para(3434(a,1),16(a,1,1))]. 3437 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [para(57(a,1),3435(a,1,1)),flip(a)]. 3438 K(x \ 1,x) * K(y,x) = (x \ 1) * (x * K(y,x)). [para(3435(a,1),2665(a,1,2)),flip(a)]. 3439 ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). [para(3435(a,1),2977(a,2))]. 3440 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [hyper(2987,a,3439,a)]. 3441 ((x \ 1) \ 1) \ ((x \ 1) \ K(y,x)) = K(y,x). [hyper(68,a,3440,a)]. 3442 ((x / y) \ 1) \ (x * (((x \ y) \ 1) \ 1)) = (1 / (x / y)) \ y. [para(59(a,1),2899(a,2,2))]. 3443 T(x,x \ K(y,x)) = T(x,x \ 1). [para(3083(a,1),3344(a,1,2,2))]. 3444 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(3443(a,1),159(a,1,2))]. 3445 T(x,x \ K(y,x)) = x * K(x,x \ 1). [para(3443(a,2),2060(a,2)),flip(a)]. 3446 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(3444(a,1),2400(a,1,1))]. 3447 K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. [para(3444(a,1),2449(a,1,1)),flip(a)]. 3448 T(x,x \ K(y,x)) != x * z | K(x,x \ 1) = z. [para(3445(a,2),19(a,1))]. 3449 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(3446(a,1),2512(a,1,2)),flip(a)]. 3450 (x \ 1) * (x * (K(y,x) / x)) = (1 / x) * K(y,x). [para(3449(a,1),2937(a,1,2))]. 3451 L(K(x,y),y \ 1,y) / y = (1 / y) * K(x,y). [para(3450(a,1),2152(a,1)),flip(a)]. 3452 T(x,x \ 1) * (T(x,y) * z) = x * (T(T(x,x \ 1),y) * z). [para(3218(a,1),3422(a,1,2,1))]. 3453 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(105(a,1),3452(a,2,2,1,1))]. 3454 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(196(a,1),3453(a,1,1)),flip(a)]. 3455 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(59(a,1),3454(a,1,2,1,1,1))]. 3456 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(17,a,2633,a,b,3455,a),flip(a)]. 3457 K(x \ 1,x) * ((x \ 1) * y) = T(x \ 1,x) * y. [para(106(a,1),3456(a,1,2,1))]. 3458 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3456(a,1),2722(a,1,2))]. 3459 ((x \ 1) * y) * K(x \ 1,x) = T(x \ 1,x) * y. [para(3457(a,1),2914(a,1)),flip(a)]. 3460 (x * (T(y,z) \ y)) * (y \ T(y,z)) = R(x,T(y,z) \ y,y \ T(y,z)). [para(3287(a,1),3290(a,1,3)),flip(a)]. 3461 R(x,T(y,x) \ y,y \ T(y,x)) = x. [para(3460(a,1),3339(a,1))]. 3462 R((x * y) / x,T(z,y) \ z,z \ T(z,y)) = (x * y) / x. [para(3461(a,1),552(a,2,1,2))]. 3463 (((x * y) / x) * (T(z,y) \ z)) * (z \ T(z,y)) = (x * y) / x. [para(3462(a,1),3460(a,2))]. 3465 K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x. [para(3038(a,1),2914(a,2))]. 3466 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(3047(a,2),364(a,2))]. 3467 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(3352(a,1),3351(a,1,1,2))]. 3468 L(a(x,1 / y,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2493(a,1),3467(a,1,1))]. 3469 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / ((x \ (x / (1 / y))) \ 1)) * z. [para(2424(a,1),3414(a,2,1,2))]. 3470 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2932(a,1),3465(a,1,2,1))]. 3471 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(57(a,1),3469(a,2,1))]. 3473 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3471(a,1),2508(a,1,1))]. 3474 (x * y) * (1 / (1 / L(y \ z,y,x))) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [para(2885(a,1),2879(a,1))]. 3475 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(129(a,1),3025(a,2,1))]. 3477 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [para(3475(a,2),239(a,1))]. 3479 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3477(a,1),185(a,1,2)),flip(a)]. 3480 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(71,a,3479,a(flip)),flip(a)]. 3481 (x \ 1) / (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (x \ 1). [hyper(74,a,3480,a)]. 3482 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [para(3481(a,1),2358(a,1))]. 3483 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(59(a,1),3482(a,1,2))]. 3484 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [para(3482(a,1),1750(a,1,2))]. 3485 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(734(a,1),3483(a,1,1))]. 3486 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(772(a,1),3485(a,1,1)),flip(a)]. 3487 L(R(K(x,y),x,1 / x),z,u) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(44(a,1),3112(a,1,1))]. 3488 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(3299(a,2),3385(a,1))]. 3489 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(3152(a,1),3488(a,1,1))]. 3490 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = (y \ (x * (y / x))) * x. [para(14(a,1),3384(a,2,1,2,2,1))]. 3491 T(x,R((y \ z) \ 1,((y \ z) \ 1) \ 1,x)) != u * x | y \ (z * ((x * (z \ y)) / x)) = u. [para(3384(a,2),20(a,1))]. 3492 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(85(a,1),3490(a,2,1))]. 3493 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = x * K(x,y / x). [para(3492(a,2),3082(a,1))]. 3494 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(642(a,1),3473(a,2,1,2))]. 3495 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(560(a,1),3199(a,1,2)),flip(a)]. 3496 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [para(3495(a,1),1928(a,1))]. 3498 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3357(a,1),3359(a,1,1))]. 3499 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3498(a,1),149(a,1)),flip(a)]. 3500 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(13(a,1),3499(a,1,1)),flip(a)]. 3501 (x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). [para(898(a,1),3500(a,1,2))]. 3502 (x \ T(x,y)) * (x * (T(x,y) \ x)) = x. [para(3500(a,2),3322(a,1))]. 3503 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(68,a,3502,a)]. 3504 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1131(a,1),3503(a,1,1,2)),flip(a)]. 3505 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3222(a,1),3503(a,1,1)),flip(a)]. 3506 T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). [para(3501(a,1),3176(a,2))]. 3507 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3334(a,1),3505(a,1,2)),flip(a)]. 3508 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(127(a,1),3507(a,1,1,2)),flip(a)]. 3509 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(127(a,1),3508(a,1,2,1)),flip(a)]. 3510 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(3509(a,1),14(a,1,2))]. 3511 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(13(a,1),3504(a,2,1))]. 3513 x * (K(x,y) \ 1) = K(x,y) \ x. [para(3354(a,1),3511(a,1,2))]. 3514 x \ (K(x,y) \ x) = K(x,y) \ 1. [hyper(68,a,3513,a)]. 3515 K(T(x,y),T(x,y) \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(1361(a,1),2871(a,1,1))]. 3516 K(x,x \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(3121(a,1),3515(a,1,1))]. 3517 K(x,x \ 1) * (T(x,y) \ z) = T(1 / (1 / x),y) \ z. [para(59(a,1),3516(a,1,2,1))]. 3520 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [para(3517(a,1),2932(a,1)),flip(a)]. 3521 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1352(a,1),3520(a,1,2))]. 3522 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(57(a,1),3521(a,2,1,1,2))]. 3524 K(x \ 1,x) * (T(x \ 1,y) \ z) = T(1 / x,y) \ z. [para(3522(a,1),2914(a,2))]. 3525 T(1 / x,y) \ (T(x \ 1,y) * z) = K(x \ 1,x) * z. [para(13(a,1),3524(a,1,2)),flip(a)]. 3526 T(1 / x,y) * (K(x \ 1,x) * z) = T(x \ 1,y) * z. [para(3525(a,1),14(a,1,2))]. 3527 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2630(a,1),3526(a,1,2))]. 3528 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3527(a,1),869(a,1,2))]. 3529 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2696(a,1),3527(a,1,2)),flip(a)]. 3530 (x \ 1) * (T(1 / x,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3528(a,1),3455(a,1)),flip(a)]. 3531 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(74,a,3530,a)]. 3532 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2749(a,1),3529(a,1,2))]. 3533 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(105(a,2),3532(a,1,2,1))]. 3534 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(718(a,1),3255(a,2,1))]. 3535 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3458(a,1),3320(a,1,2))]. 3536 L(x,T(y \ 1,z),(y \ 1) \ 1) = L(x,T(1 / y,z),y). [para(3535(a,1),28(a,2)),flip(a)]. 3537 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2627(a,1),2668(a,1,2)),flip(a)]. 3538 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = L(x,y,z \ 1). [para(3537(a,2),28(a,2)),flip(a)]. 3539 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2687(a,1),2688(a,2,2,1,1))]. 3541 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [para(3539(a,2),3221(a,1))]. 3542 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3221(a,1),3541(a,1,1))]. 3543 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3542(a,1),3272(a,1,1))]. 3544 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3270(a,1),3543(a,2,1))]. 3546 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3544(a,1),14(a,1,2))]. 3548 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [para(2914(a,1),3546(a,1,2))]. 3549 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [para(2926(a,1),3000(a,1,2,1,1))]. 3550 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(15(a,1),3256(a,1,1,1))]. 3552 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3550(a,1),20(a,1)),flip(a)]. 3553 R(x,K(y,x),T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x. [para(3083(a,1),3418(a,1,2))]. 3554 R(x,K(y,x),((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x. [para(3297(a,1),3553(a,1,3))]. 3555 R(x,K(y,x),((x * y) \ (x * T(y,x))) \ 1) = x. [para(13(a,1),3554(a,1,3,1,2,2,1))]. 3556 R(x,K(y,x),((x * y) \ (y * x)) \ 1) = x. [para(104(a,1),3555(a,1,3,1,2))]. 3557 R(x,K(y,x),K(y,x) \ 1) = x. [para(26(a,2),3556(a,1,3,1))]. 3558 (x * K(y,x)) \ x = K(y,x) \ 1. [para(3557(a,1),327(a,1,2))]. 3559 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3323(a,1),2760(a,1,1))]. 3560 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3221(a,1),2823(a,2,1))]. 3561 R(x,y,z) \ T(R(x,y,z),R(1 / x,x,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(3024(a,1),3274(a,1,2))]. 3562 R(x,y,z) \ R(T(x,R(1 / x,x,R(x,y,z))),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(42(a,2),3561(a,1,2))]. 3563 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = R(x,y,z) \ R(T(x,x \ 1),y,z). [para(2050(a,1),3562(a,1,2,1)),flip(a)]. 3564 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [para(3563(a,2),1442(a,1))]. 3566 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [para(3564(a,1),3325(a,1)),flip(a)]. 3567 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1516(a,2),3566(a,1,2))]. 3568 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3567(a,1),2371(a,1,1)),flip(a)]. 3569 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3083(a,1),3341(a,1,2)),flip(a)]. 3570 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [para(3569(a,2),3303(a,1))]. 3571 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(3297(a,1),3569(a,1,2))]. 3572 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(13(a,1),3571(a,1,2,1,2,2,1))]. 3573 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(104(a,1),3572(a,1,2,1,2))]. 3574 x * (K(y,x) \ 1) = x / K(y,x). [para(26(a,2),3573(a,1,2,1))]. 3575 x * (K(y,x) \ 1) = K(y,x) \ x. [para(3574(a,2),3303(a,1))]. 3576 (K(x,y) \ y) / (K(x,y) \ 1) = y. [hyper(74,a,3575,a)]. 3577 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(68,a,3575,a)]. 3578 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3575(a,1),19(a,1))]. 3579 R(x,K(y,x) \ 1,z) \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(3575(a,1),119(a,1,2,1))]. 3580 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3575(a,1),3411(a,1,1))]. 3581 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [para(3576(a,1),3409(a,1)),flip(a)]. 3582 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3581(a,1),643(a,1,2,1))]. 3583 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3580(a,1),14(a,1,2))]. 3584 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3583(a,1),2467(a,1,1)),flip(a)]. 3585 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [para(105(a,1),3582(a,1,2)),flip(a)]. 3586 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [para(105(a,1),3585(a,1,2)),flip(a)]. 3587 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [para(3584(a,2),3586(a,1))]. 3588 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3587(a,1),2214(a,1,2,2))]. 3589 x \ ((((x * y) \ x) \ 1) \ T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3570(a,1),3350(a,1,1)),flip(a)]. 3590 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(3570(a,1),3361(a,1,2)),flip(a)]. 3591 1 / (K(x,y) \ y) = K(x,y) / y. [para(755(a,2),3590(a,1,1)),flip(a)]. 3592 x * (1 / (K(y,z) \ z)) = x * (K(y,z) / z). [hyper(21,a,3591,a)]. 3593 (K(x,y) / y) \ 1 = K(x,y) \ y. [para(3591(a,1),59(a,1,1))]. 3594 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(427,a,3588,a),flip(a)]. 3596 K(x,(y \ 1) \ 1) = K(x,y). [para(3594(a,2),431(a,1)),flip(a)]. 3597 K(x,1 / y) = K(x,y \ 1). [para(59(a,1),3596(a,1,2,1)),flip(a)]. 3598 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = y * K(((x \ 1) \ 1) \ y,x). [para(3596(a,1),185(a,1,2)),flip(a)]. 3599 K(x,R(y / z,z,y \ 1)) = K(x,(z * (y \ 1)) \ 1). [para(349(a,1),3596(a,1,2,1)),flip(a)]. 3600 K(x,T(y \ z,z \ y)) = K(x,y \ z). [para(1976(a,2),3596(a,1,2))]. 3601 K(x,T(y / z,z / y)) = K(x,y / z). [para(2061(a,2),3596(a,1,2))]. 3602 K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). [para(2873(a,1),3596(a,1,2)),flip(a)]. 3603 K(x,T((y \ 1) \ 1,z)) = K(x,T(y,z)). [para(2874(a,1),3596(a,1,2))]. 3604 K(x,T(y / z,y \ z)) = K(x,y / z). [para(3348(a,2),3596(a,1,2))]. 3605 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3596(a,1),3437(a,2,2))]. 3606 K(x,1 / (1 / y)) = K(x,y). [para(59(a,1),3597(a,2,2))]. 3607 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(3597(a,1),1091(a,2))]. 3610 (x * ((1 / (1 / x)) * y)) \ ((x * y) * (1 / (1 / x))) = K(x * y,x). [para(3606(a,1),992(a,2))]. 3612 K(x,T(T(y,z),y \ 1)) = K(x,T(y,z)). [para(195(a,2),3603(a,1,2))]. 3613 K(x,T(((1 / y) * z) \ z,u)) = K(x,T(((y \ 1) * z) \ z,u)). [para(2906(a,1),3603(a,1,2,1)),flip(a)]. 3614 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3607(a,1),2325(a,1,1))]. 3615 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [para(3607(a,1),3566(a,1)),flip(a)]. 3616 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3615(a,1),3568(a,2,1))]. 3617 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(3069,a,3598,a),flip(a)]. 3618 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(2700(a,1),3617(a,1,1))]. 3619 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [para(3618(a,1),662(a,2))]. 3620 (x * (y * (1 / (1 / x)))) \ ((x * T(y,1 / (1 / x))) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(104(a,1),3610(a,1,1,2))]. 3621 x \ (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) = (K(y,x) \ x) \ 1. [para(3052(a,1),3589(a,1,2))]. 3622 (K(x,y) \ y) \ 1 = y \ K(x,y). [para(755(a,2),3621(a,1,2)),flip(a)]. 3623 1 / (x \ K(y,x)) = K(y,x) \ x. [para(3622(a,1),57(a,1,2))]. 3624 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [para(3616(a,2),3614(a,1))]. 3625 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(17,a,1353,a(flip),b,3624,a)]. 3626 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [para(3625(a,1),3486(a,2))]. 3627 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3626(a,1),57(a,1,2)),flip(a)]. 3628 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. [para(57(a,1),3626(a,1,1,1,2)),flip(a)]. 3629 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2865(a,1),3626(a,1,1,1))]. 3630 R(1 / (1 / (x / (y / z))),y / z,z) = 1 / (1 / ((x * z) / y)). [para(343(a,1),3627(a,2,2,2))]. 3631 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3628(a,1),59(a,1,1))]. 3632 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(57(a,1),3631(a,1,1,1,1)),flip(a)]. 3634 K(R(1 / x,y,z),u) = K(R(x \ 1,y,z),u). [para(3631(a,1),3074(a,1,1)),flip(a)]. 3635 R(T(x,x \ 1),y,z) = (R(x,y,z) \ 1) \ 1. [para(105(a,2),3632(a,1,1))]. 3636 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2491(a,1),3632(a,2,1,1))]. 3637 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3632(a,2),2887(a,1,1))]. 3638 K(x,R(T(y,y \ 1),z,u)) = K(x,R(y,z,u)). [para(3635(a,2),3596(a,1,2))]. 3639 1 / R(T(x \ 1,y),z,u) = R(T(1 / x,y),z,u) \ 1. [para(57(a,1),3629(a,1,1,1,1,2)),flip(a)]. 3640 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(483(a,1),3629(a,1,1)),flip(a)]. 3641 1 / R(T(x \ 1,y),x,x \ y) = (y \ (1 * (x \ y))) \ 1. [para(633(a,1),3639(a,2,1))]. 3642 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [para(3636(a,1),3349(a,2))]. 3643 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = (((y * x) \ 1) \ 1) / x. [para(3642(a,1),1981(a,1,1)),flip(a)]. 3644 1 / T(x \ (1 * (y \ x)),y) = (x \ (1 * (y \ x))) \ 1. [para(1020(a,1),3641(a,1,2))]. 3645 (x \ (1 * (y \ x))) \ 1 = 1 / T(x \ (y \ x),y). [para(11(a,1),3644(a,1,2,1,2)),flip(a)]. 3646 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. [para(11(a,1),3645(a,1,1,2)),flip(a)]. 3647 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(3646(a,1),59(a,1,1)),flip(a)]. 3648 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. [para(2754(a,1),3646(a,1,2))]. 3649 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(3647(a,2),2935(a,1,2))]. 3650 (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). [para(59(a,1),3648(a,1,2,2,1)),flip(a)]. 3651 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). [para(3650(a,1),57(a,1,2))]. 3652 x * (1 / (1 / (x \ (y \ x)))) = (1 / (1 / y)) \ x. [para(3651(a,2),14(a,1,2))]. 3653 (1 / (1 / (x / y))) \ x = x * (1 / (1 / (x \ y))). [para(59(a,1),3652(a,1,2,2,2,2)),flip(a)]. 3654 ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). [para(3652(a,1),2880(a,1,1))]. 3655 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. [para(57(a,1),3654(a,1,1,1,2)),flip(a)]. 3656 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3655(a,1),3606(a,1,2))]. 3657 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [para(3656(a,1),2781(a,2))]. 3658 ((1 / x) * ((((1 / x) \ y) \ 1) \ 1)) * x = ((y * x) \ 1) \ 1. [para(3643(a,2),16(a,1,1))]. 3659 (1 / (1 / (x / (1 / y)))) * (1 / y) = (1 / (1 / ((x * y) / 1))) / y. [para(3630(a,1),368(a,1,1)),flip(a)]. 3660 (1 / (1 / (x / (1 / y)))) * (1 / y) = (1 / (1 / (x * y))) / y. [para(56(a,1),3659(a,2,1,2,2))]. 3661 (1 / x) * (1 / (1 / ((1 / x) \ y))) = (1 / (1 / (y * x))) / x. [para(3660(a,1),2879(a,1)),flip(a)]. 3662 x * K(x \ (1 / y),(1 / y) \ x) = (1 / (1 / (x * y))) / y. [para(3661(a,1),2013(a,2))]. 3663 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [para(3637(a,1),100(a,1))]. 3664 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2882(a,1),3663(a,2,1))]. 3665 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(3664(a,1),2897(a,1)),flip(a)]. 3666 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,x) * y) * z. [para(3293(a,1),3665(a,2,1))]. 3667 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) != u * z | K(x \ 1,x) * y = u. [para(3666(a,2),20(a,1))]. 3668 (x * (y * (1 / (1 / x)))) \ ((x * T(y,(1 / x) \ 1)) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(2940(a,1),3620(a,1,2,1,2))]. 3669 (x * (y * (1 / (1 / x)))) \ ((x * T(y,x)) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(59(a,1),3668(a,1,2,1,2,2))]. 3670 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(104(a,1),3669(a,1,2,1))]. 3671 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,(1 / x) \ 1),x). [para(2940(a,1),3670(a,2,1,2))]. 3672 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,x),x). [para(59(a,1),3671(a,2,1,2,2))]. 3673 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * x,x). [para(104(a,1),3672(a,2,1))]. 3674 K(x * L(y,y \ 1,y),y) = K(x * y,y). [para(3673(a,1),1747(a,1)),flip(a)]. 3675 K(x * (1 / (1 / y)),y) = K(x * y,y). [para(1399(a,1),3674(a,1,1,2))]. 3676 K(x * (1 / y),y \ 1) = K(x * (y \ 1),y \ 1). [para(57(a,1),3675(a,1,1,2,2))]. 3677 K((1 / (1 / x)) * (x \ y),x) = K((y / x) * x,x). [para(3044(a,2),3675(a,1,1))]. 3678 K((1 / (1 / x)) * (x \ y),x) = K(y,x). [para(16(a,1),3677(a,2,1))]. 3679 K(K(x \ 1,x) * y,x) = K(y,x). [para(2736(a,1),3678(a,1,1))]. 3680 K(K(x,x \ 1) * y,x \ 1) = K(y,x \ 1). [para(1432(a,1),3679(a,1,1,1))]. 3681 K((1 / x) * y,x) = K((x \ 1) * y,x). [para(2627(a,1),3679(a,1,1)),flip(a)]. 3682 K(K(x,x \ 1) * y,x) = K(y,x). [para(2706(a,1),3679(a,1,1)),flip(a)]. 3683 K(x * (1 / y),y) = K(x * (y \ 1),y). [para(2973(a,1),3679(a,1,1)),flip(a)]. 3684 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2166(a,2),3682(a,1,1))]. 3685 K(((x \ 1) \ 1) \ y,x \ 1) = K(x \ y,x \ 1). [para(2625(a,1),3680(a,1,1)),flip(a)]. 3686 K((1 / (1 / x)) * y,x \ 1) = K(x * y,x \ 1). [para(2647(a,1),3680(a,1,1)),flip(a)]. 3687 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(2719(a,1),3684(a,1,1,1))]. 3688 K((1 / (1 / x)) * y,1 / x) = K(x * y,x \ 1). [para(3686(a,1),3597(a,2))]. 3689 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1315(a,1),3026(a,1,1))]. 3690 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1315(a,1),3689(a,1,2,3))]. 3691 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2551(a,1),3690(a,1,2)),flip(a)]. 3692 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(2957(a,1),3691(a,1,1))]. 3693 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1315(a,1),3692(a,1,2))]. 3694 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(3045(a,1),3692(a,1,1)),flip(a)]. 3695 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [para(3693(a,1),2942(a,1))]. 3696 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(3695(a,2),3382(a,1))]. 3697 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [para(3696(a,2),2492(a,1))]. 3698 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(3694(a,1),3697(a,1)),flip(a)]. 3699 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1315(a,1),3698(a,2,2))]. 3700 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [para(3699(a,2),2942(a,1))]. 3701 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [para(3700(a,2),3300(a,1))]. 3702 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(3139(a,1),3701(a,1,1))]. 3703 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(3702(a,1),3489(a,1)),flip(a)]. 3704 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3703(a,1),597(a,1,1))]. 3705 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [para(3704(a,1),322(a,1))]. 3706 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [para(3705(a,2),26(a,2))]. 3707 L(K(x,y),y \ 1,y) = K(x,y). [para(26(a,2),3706(a,2,1)),flip(a)]. 3708 (1 / x) * K(y,x) = K(y,x) / x. [para(3707(a,1),3451(a,1,1)),flip(a)]. 3710 K(x,y) \ (K(x,y) / y) = 1 / y. [para(3708(a,1),1605(a,1,2))]. 3711 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(59(a,1),3466(a,1,1,3))]. 3712 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2492(a,1),3711(a,1,1))]. 3713 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),2595(a,1,1,2))]. 3715 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(720(a,1),3713(a,1,1)),flip(a)]. 3717 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3715(a,1),3534(a,1,1))]. 3718 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3717(a,1),3514(a,1,2))]. 3719 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3718(a,1),3325(a,1)),flip(a)]. 3720 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [para(3719(a,1),3607(a,1))]. 3721 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3720(a,1),2119(a,1,1))]. 3722 a(R(x,y,z),1 / x,x) \ 1 = K(x \ 1,R(x,y,z)). [para(3615(a,2),3721(a,1,1))]. 3723 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(x \ 1,R(x,y,z)). [para(3722(a,1),3415(a,2))]. 3724 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [para(3723(a,1),2206(a,1)),flip(a)]. 3725 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3724(a,1),1955(a,2,1,1))]. 3726 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [para(3724(a,1),3496(a,2))]. 3727 (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1) = K(x \ 1,R(x,y,z)). [para(3726(a,1),2350(a,2))]. 3728 (1 / R(x,y,z)) \ (R(x,y,z) \ 1) = K(x \ 1,R(x,y,z)). [para(3626(a,1),3727(a,1,1))]. 3729 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [para(3728(a,1),1622(a,1)),flip(a)]. 3730 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,R((x / y) / z,z,y)). [para(179(a,1),3729(a,1,1,1)),flip(a)]. 3731 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3729(a,1),2735(a,1,1)),flip(a)]. 3732 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(3731(a,2),3720(a,1))]. 3733 R(x,y,z) \ K(R(x,y,z),x \ 1) = 1 / R(x,y,z). [hyper(68,a,3732,a)]. 3734 T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3725(a,1),2739(a,2))]. 3735 (K(x \ 1,R(x,y,z)) * y) * z = K(x \ 1,R(x,y,z)) * (y * z). [para(3729(a,1),3725(a,1,1)),flip(a)]. 3736 L(x,y,K(z \ 1,R(z,y,x))) = x. [hyper(306,a,3735,a)]. 3737 L(x,y,K(z,R(z \ 1,y,x))) = x. [para(3074(a,1),3736(a,1,3))]. 3738 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(105(a,1),3734(a,1,1))]. 3739 K(x \ 1,R(x,y,z)) * y = K(x \ 1,x) * y. [hyper(3667,a,3738,a),flip(a)]. 3740 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(20,a,3739,a)]. 3743 K(((x / y) / z) \ 1,(x / y) / z) = K(((x / y) / z) \ 1,x / (z * y)). [para(179(a,1),3740(a,1,2)),flip(a)]. 3744 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3740(a,1),721(a,1,2))]. 3746 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [para(3740(a,1),3729(a,2))]. 3747 L(x,y,K(z \ 1,z)) = x. [para(3740(a,1),3736(a,1,3))]. 3748 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3747(a,1),89(a,1,2))]. 3749 K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y. [para(3747(a,1),272(a,1,2)),flip(a)]. 3750 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3747(a,1),353(a,1,2))]. 3751 K(x \ 1,x) * y != (K(x \ 1,x) * z) * u | z * u = y. [para(3747(a,1),299(a,1,2)),flip(a)]. 3752 L(x,y,K(z,z \ 1)) = x. [para(1361(a,1),3747(a,1,3))]. 3756 L(x,y,K(z \ u,u \ z)) = x. [para(2568(a,1),3747(a,1,3))]. 3762 (x * K(y \ 1,y)) \ K(y \ 1,y) = x \ 1. [para(3747(a,1),2966(a,1)),flip(a)]. 3763 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3747(a,1),2967(a,1,2))]. 3764 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [para(3747(a,1),3467(a,1))]. 3765 a(x,1 / y,y) = a(x,y \ 1,y). [para(3747(a,1),3468(a,1))]. 3766 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [para(3747(a,1),2996(a,1))]. 3767 L(x,y,1 / z) = L(x,y,z \ 1). [para(3747(a,1),3538(a,1))]. 3770 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3752(a,1),89(a,1,2))]. 3771 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [para(3752(a,1),91(a,1)),flip(a)]. 3772 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3752(a,1),272(a,1,2)),flip(a)]. 3773 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3752(a,1),353(a,1,2))]. 3774 ((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y. [para(3752(a,1),1376(a,1,2))]. 3775 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3752(a,1),1469(a,1,2)),flip(a)]. 3780 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = z. [para(3752(a,1),3549(a,2))]. 3781 K(x \ y,y \ x) * (1 / z) = K(x \ y,y \ x) / z. [para(3756(a,1),272(a,1,2)),flip(a)]. 3782 (K(x \ y,y \ x) * z) / u = K(x \ y,y \ x) * (z / u). [para(3756(a,1),353(a,1,2))]. 3783 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [para(3765(a,1),2503(a,2))]. 3784 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(57(a,1),3767(a,1,3)),flip(a)]. 3786 ((1 / x) * y) * L(z,y,x \ 1) = (1 / x) * (y * z). [para(3767(a,1),89(a,1,2))]. 3787 L(x \ y,x,y \ 1) = ((1 / y) * x) \ 1. [para(3767(a,1),318(a,1))]. 3788 1 / L(x,y / x,y \ 1) = (1 / y) * (y / x). [para(3767(a,1),453(a,1,2))]. 3789 a(1 / x,x / y,y) \ y = L(y,x / y,x \ 1). [para(3767(a,1),1081(a,2))]. 3790 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [para(3767(a,1),2653(a,2))]. 3791 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [para(3784(a,1),3536(a,1)),flip(a)]. 3793 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [para(3749(a,1),2914(a,1)),flip(a)]. 3794 (K(x,x \ 1) * y) \ 1 = y \ K(x \ 1,x). [para(2979(a,1),3762(a,1,1)),flip(a)]. 3795 (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. [para(3772(a,1),2932(a,1)),flip(a)]. 3796 ((x \ 1) \ 1) / (y \ x) = y * K(x,x \ 1). [para(3774(a,2),2932(a,1))]. 3798 K(x \ 1,x) * ((1 / x) / y) = (x \ 1) / y. [hyper(2716,a,3775,a)]. 3799 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [para(3775(a,1),2932(a,1)),flip(a)]. 3800 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [para(3791(a,1),91(a,1))]. 3801 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [para(59(a,1),3796(a,1,2)),flip(a)]. 3802 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [para(57(a,1),3799(a,1,1)),flip(a)]. 3803 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(445(a,1),3799(a,1,1)),flip(a)]. 3804 K(x \ 1,x) * (((x \ 1) \ 1) / y) = x / y. [hyper(2997,a,3801,a)]. 3805 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(3802(a,1),59(a,1,1))]. 3806 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3748(a,1),30(a,2,1,1)),flip(a)]. 3808 K(x \ 1,x) * ((x \ y) * z) = (((x \ 1) \ 1) \ y) * z. [para(2710(a,1),3748(a,1,1)),flip(a)]. 3809 K(x \ 1,x) * ((y * (1 / x)) * z) = (y * (x \ 1)) * z. [para(2973(a,1),3748(a,1,1)),flip(a)]. 3810 K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. [para(2974(a,1),3748(a,1,1)),flip(a)]. 3812 K(x \ 1,x) * ((1 / y) * z) = (K(x \ 1,x) / y) * z. [para(3749(a,1),3748(a,1,1)),flip(a)]. 3813 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3750(a,1),106(a,1,1))]. 3814 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(1400(a,1),3750(a,1,1)),flip(a)]. 3815 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(159(a,1),3814(a,1,2)),flip(a)]. 3816 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3763(a,1),24(a,2,1)),flip(a)]. 3817 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3763(a,1),28(a,2,1)),flip(a)]. 3818 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y * K(z \ 1,z),x). [para(3763(a,1),28(a,2,2,2)),flip(a)]. 3819 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3763(a,1),2666(a,1,1))]. 3820 (x * K(y \ 1,y)) * z = (x * z) * K(y \ 1,y). [para(3763(a,2),2914(a,1))]. 3821 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) = L((y \ 1) * z,K(y,y \ 1),x). [para(3766(a,1),2745(a,1))]. 3822 (K(x,x \ 1) * y) \ z = y \ (K(x \ 1,x) * z). [para(2932(a,2),3766(a,1,1))]. 3823 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(2936(a,1),3766(a,1,1)),flip(a)]. 3824 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(329,a,3770,a)]. 3826 x \ (K(y,y \ 1) * (z * x)) = T(K(y,y \ 1) * z,x). [para(3770(a,1),32(a,2,2)),flip(a)]. 3828 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [para(2719(a,1),3770(a,1,1)),flip(a)]. 3829 (K(x,x \ 1) * y) * z = (y * z) * K(x,x \ 1). [para(3770(a,2),2932(a,1))]. 3830 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(2932(a,1),3770(a,1,1))]. 3831 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [para(3824(a,1),2370(a,2))]. 3833 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2964(a,1),3771(a,1,1)),flip(a)]. 3834 (x * y) \ (K(y,y \ 1) * z) = (x * (1 / (1 / y))) \ z. [para(3008(a,1),3771(a,1,1))]. 3835 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [para(2932(a,1),3773(a,1,1))]. 3836 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3773(a,1),3018(a,1,1))]. 3837 (x * K(y,y \ 1)) * z = (x * z) * K(y,y \ 1). [para(3780(a,1),14(a,1,2))]. 3838 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [para(3780(a,1),703(a,1,1)),flip(a)]. 3840 ((x * y) * z) * K(x \ 1,x) = ((1 / (1 / x)) * y) * z. [para(2980(a,1),3820(a,1,1)),flip(a)]. 3841 (((x \ 1) * y) * z) * K(x,x \ 1) = ((1 / x) * y) * z. [para(2719(a,1),3829(a,1,1)),flip(a)]. 3842 K(x,x \ 1) * y != (z * K(x,x \ 1)) * u | z * u = y. [para(3830(a,2),19(a,1)),flip(a)]. 3843 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [para(3830(a,1),30(a,2,1)),flip(a)]. 3844 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(12(a,1),3833(a,2,2))]. 3845 ((1 / (1 / x)) * y) \ 1 = (x * y) \ K(x,x \ 1). [para(2980(a,1),3844(a,1,1))]. 3846 (K(x \ 1,x) / y) \ 1 = (1 / y) \ K(x,x \ 1). [para(3793(a,1),3844(a,1,1))]. 3847 (x * K(y,y \ 1)) / z != K(y,y \ 1) * u | x / z = u. [para(3835(a,2),19(a,1))]. 3848 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,z,T(K(x,x \ 1),z)). [para(3835(a,1),2959(a,1))]. 3850 (K(x \ 1,x) / y) * ((1 / y) \ K(x,x \ 1)) = 1. [para(3846(a,1),14(a,1,2))]. 3851 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(18,a,2929,a,b,3744,a),flip(a)]. 3853 R(x,y,z) / x = x \ R(x,y,z). [para(3851(a,1),773(a,1)),flip(a)]. 3854 (x \ R(x,y,z)) * x = R(x,y,z). [para(3853(a,1),16(a,1,1))]. 3855 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3853(a,1),350(a,1,1))]. 3856 T(x,x \ R(x,y,z)) = x. [hyper(204,a,3854,a)]. 3857 K(x \ 1,x) * y != (K(x \ 1,x) / z) * u | (1 / z) * u = y. [para(3812(a,1),19(a,1)),flip(a)]. 3858 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(2689(a,1),3813(a,1,1))]. 3859 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3823(a,1),3560(a,1,2,1)),flip(a)]. 3860 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,T(x,y)). [para(104(a,1),3826(a,1,2,2))]. 3863 (x * (1 / (1 / y))) \ (y * z) = (x * y) \ (((y \ 1) \ 1) * z). [para(2615(a,1),3834(a,1,2)),flip(a)]. 3864 (K(x \ y,y \ x) * z) / u != K(x \ y,y \ x) * w | z / u = w. [para(3782(a,2),19(a,1))]. 3865 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3748(a,1),3806(a,1,1))]. 3866 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,K(x,x \ 1),z). [para(3843(a,1),3773(a,1)),flip(a)]. 3867 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [para(3865(a,1),3750(a,1)),flip(a)]. 3868 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(30(a,2),3867(a,1,2)),flip(a)]. 3869 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2723,a,3868,a(flip))]. 3870 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [para(3868(a,2),3036(a,1))]. 3871 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1379(a,1),3869(a,1,2,1))]. 3872 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3085(a,1),3859(a,2,2))]. 3873 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2976(a,1),3870(a,1,1)),flip(a)]. 3874 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(74,a,3873,a)]. 3875 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(14(a,1),3873(a,1,1,2,1)),flip(a)]. 3876 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(16(a,1),3874(a,1,1,1)),flip(a)]. 3877 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(346(a,1),3875(a,2,1,2))]. 3878 R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(3875(a,2),1826(a,1,1))]. 3879 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2491(a,1),3875(a,2,1,2))]. 3880 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(3876(a,1),14(a,1,2)),flip(a)]. 3881 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3880(a,2),2308(a,1,1))]. 3882 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [para(3879(a,1),3494(a,1))]. 3883 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3879(a,1),3712(a,1,1)),flip(a)]. 3884 (x * (y \ T(y,x))) * y = y * x. [para(13(a,1),3882(a,1,1)),flip(a)]. 3885 x * (y \ T(y,x)) = (y * x) / y. [hyper(74,a,3884,a),flip(a)]. 3886 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(18,a,215,a,b,3884,a)]. 3887 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(18,a,104,a(flip),b,3884,a)]. 3888 x \ ((y * x) / y) = y \ T(y,x). [hyper(68,a,3885,a)]. 3889 ((x * y) / x) * (T(x,y) \ x) = y. [hyper(18,a,3463,a,b,3885,a),flip(a)]. 3890 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(17,a,3204,a,b,3885,a),flip(a)]. 3891 ((x * y) / x) / y = x \ T(x,y). [hyper(17,a,3198,a,b,3885,a),flip(a)]. 3892 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3885(a,1),649(a,1,2))]. 3893 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3052(a,1),3885(a,1,2)),flip(a)]. 3894 (x \ T(x,y)) * y = (x * y) / x. [para(3885(a,1),3175(a,2))]. 3895 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3885(a,1),3273(a,1,1))]. 3896 ((x * y) / x) \ y = T(x,y) \ x. [para(3885(a,1),3380(a,1,1))]. 3897 (T(x,y) \ x) * ((x * y) / x) = y. [para(3885(a,1),3510(a,1,2))]. 3898 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(68,a,3887,a)]. 3899 T(x,T(y,x)) \ x = y \ T(y,x). [para(3887(a,1),3380(a,1,1)),flip(a)]. 3900 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [para(16(a,1),3888(a,1,2,1)),flip(a)]. 3901 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3888(a,1),325(a,1,1))]. 3902 R(x,y,y \ 1) \ ((y * x) * (y \ 1)) = y \ T(y,R(x,y,y \ 1)). [para(516(a,1),3888(a,1,2))]. 3903 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(3888(a,1),1068(a,1,1)),flip(a)]. 3904 K(x,(x / T(y \ 1,z)) / x) = T(x \ T(x,y),z). [para(3888(a,1),1585(a,1,1)),flip(a)]. 3905 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3891(a,1),345(a,1,1,1))]. 3906 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3891(a,1),349(a,1,1,1))]. 3907 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(14(a,1),3896(a,1,1,1)),flip(a)]. 3908 ((x * y) * (x \ 1)) \ R(y,x,x \ 1) = T(x,R(y,x,x \ 1)) \ x. [para(516(a,1),3896(a,1,1))]. 3909 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3896(a,1),988(a,1,2,2,1))]. 3910 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3552,a,3897,a)]. 3911 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3898(a,2),3219(a,1,1))]. 3912 T(x,T(y,x)) * (y \ T(y,x)) = x. [para(3899(a,1),14(a,1,2))]. 3913 x * (y \ T(y,z)) != z | T(z,T(y,z)) = x. [para(3899(a,1),72(a,1,2)),flip(b)]. 3914 K(x \ (x / (y \ 1)),x) = T(x,T(y,x)) \ x. [para(3899(a,2),748(a,2))]. 3915 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3899(a,1),3149(a,1,1))]. 3916 (x * (T(x,T(y,x)) \ x)) * y = y * x. [para(3899(a,2),3884(a,1,1,2))]. 3917 L(x,y \ T(y,x),y) = x. [para(3912(a,1),3506(a,1)),flip(a)]. 3918 x * (T(x,y) \ (y * (x \ T(x,y)))) = y. [para(3917(a,1),3197(a,2))]. 3919 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3052(a,1),3915(a,1,1))]. 3920 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(105(a,1),3886(a,1,2,2))]. 3921 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) = L(z,y \ 1,(x * y) / x). [para(3895(a,1),28(a,2,1)),flip(a)]. 3922 T(x * (T(x,T(y,x)) \ x),y) = x. [hyper(131,a,3916,a(flip))]. 3923 T(x,y) \ (y * (x \ T(x,y))) = x \ y. [hyper(68,a,3918,a),flip(a)]. 3924 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(68,a,3920,a)]. 3925 T(x,y) \ ((x * y) / x) = x \ y. [para(3885(a,1),3923(a,1,2))]. 3926 T(x,x \ y) \ (y / x) = x \ (x \ y). [para(3886(a,1),3923(a,1,2))]. 3927 T(x,x * y) \ ((x * (x * y)) / x) = y. [para(3925(a,2),13(a,1))]. 3928 T(x,y) * (x \ y) = (x * y) / x. [para(3925(a,1),14(a,1,2))]. 3929 T(x / y,T(y,x)) = y \ x. [para(3925(a,1),1174(a,1)),flip(a)]. 3930 T(x \ y,T(x,y)) = T(x \ y,x). [para(3929(a,1),148(a,1,1)),flip(a)]. 3931 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(3929(a,1),1270(a,1,1)),flip(a)]. 3932 T(x,x / (x / y)) = T(x,y). [hyper(18,a,1258,a,b,3928,a),flip(a)]. 3933 (x * (x * y)) / x = T(x,x * y) * y. [para(13(a,1),3928(a,1,2)),flip(a)]. 3934 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) = L(z,x \ y,T(x,y)). [para(3928(a,1),28(a,2,1)),flip(a)]. 3935 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(83(a,1),3928(a,1,2))]. 3936 ((x * y) / x) \ R(T(x,y),x \ y,(x \ y) \ 1) = (x \ y) \ 1. [para(3928(a,1),327(a,1,1))]. 3937 T(x,y) * y = x * ((x * y) / x). [para(3928(a,1),869(a,1,2)),flip(a)]. 3938 x \ (T(x,y) * y) = (x * y) / x. [para(3928(a,1),871(a,2))]. 3939 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3928(a,1),3181(a,1,1,1))]. 3940 T(x,x / y) = T(x,y \ x). [para(57(a,1),3932(a,1,2,2))]. 3941 T(x,y) = (x / y) * ((x * y) / x). [para(3932(a,1),922(a,2)),flip(a)]. 3942 (x / y) \ T(x,y) = (x * y) / x. [para(3932(a,1),924(a,1,2))]. 3943 (x / T(y,x)) * y = T(x,T(y,x)). [para(3932(a,1),937(a,1)),flip(a)]. 3944 T(x,T(y,x)) * (y * x) = x * (x * y). [para(3932(a,1),1214(a,1,1))]. 3945 T(x,x / (1 / y)) = T(x,x * y). [para(3932(a,1),1262(a,1)),flip(a)]. 3946 T(x,(y \ x) \ x) = T(x,y). [para(57(a,1),3940(a,1,2)),flip(a)]. 3947 x * ((y * (x \ y)) / y) = T(y,x \ y). [para(3940(a,1),920(a,2))]. 3948 T(x \ T(y,x \ y),y) = x \ y. [para(3940(a,1),925(a,1,1,2))]. 3949 T(x,(y \ 1) \ x) = T(x,y * x). [para(3940(a,1),1188(a,1))]. 3950 T(x,T(y,y \ x)) = T(x,y). [para(105(a,2),3946(a,1,2))]. 3951 T(x * y,T(x,y)) = T(x * y,x). [para(13(a,1),3950(a,1,2,2))]. 3952 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(3930(a,1),104(a,1,2))]. 3953 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(3930(a,2),276(a,1,2,2))]. 3954 T(x,y) \ (x * ((x * y) / x)) = y. [hyper(68,a,3937,a)]. 3955 T(x,x \ y) * (x \ y) = x * (y / x). [para(14(a,1),3937(a,2,2,1))]. 3956 T(x,T(x \ y,z)) * T(x \ y,z) = x * T(y / x,z). [para(286(a,1),3937(a,2,2))]. 3957 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,(x * y) / x,x). [para(3937(a,2),1047(a,1,1,1))]. 3958 (((x * y) / x) / (x / y)) * T(x / y,(x * y) / x) = T(x,y) / (x / y). [para(3941(a,2),1170(a,2,1))]. 3959 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(15(a,1),3942(a,1,1)),flip(a)]. 3960 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3945(a,1),1226(a,1,1))]. 3961 T(x,(1 / y) * x) = T(x,y \ x). [para(59(a,1),3949(a,1,2,1)),flip(a)]. 3962 T(x,x \ y) \ (x * (y / x)) = x \ y. [para(14(a,1),3954(a,1,2,2,1))]. 3963 x * (x * T(T(x,x \ (y * x)) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. [para(3926(a,2),1789(a,1,2,2,1))]. 3964 (x * (x * y)) / x != z * y | T(x,x * y) = z. [para(3927(a,1),72(a,1,2)),flip(a),flip(b)]. 3965 T(T(x,x * y) * y,x) = x * y. [para(3933(a,1),126(a,1,1))]. 3967 T(x,x \ y) * (x \ y) != x * z | y / x = z. [para(3955(a,2),19(a,1))]. 3968 ((x \ y) \ y) * (x \ y) = x * (y / x). [para(105(a,1),3955(a,1,1))]. 3969 T(x,x \ y) * y = x * (x * (y / x)). [para(3955(a,1),869(a,1,2)),flip(a)]. 3971 ((x \ y) \ y) * y = x * (x * (y / x)). [para(105(a,1),3969(a,1,1))]. 3972 (x * (x * (T(y,z) / x))) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [para(3969(a,1),1166(a,1,1))]. 3973 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(127(a,1),3901(a,2,2)),flip(a)]. 3974 x \ (y * ((z * (y \ x)) / z)) = z \ T(z,(x \ y) \ 1). [hyper(3491,a,3903,a)]. 3975 T(x,R(y,y \ 1,x)) = T(x,y). [para(3903(a,2),3218(a,1))]. 3976 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(2771(a,1),3975(a,1,2))]. 3977 T(x,(y \ x) \ 1) = x * K(x,y / x). [para(3975(a,1),3493(a,1))]. 3978 T(x,x / (y * x)) = T(x,y \ 1). [para(3976(a,1),2945(a,1)),flip(a)]. 3979 T(x,x / (x * y)) = T(x,y \ 1). [para(3976(a,1),3258(a,1)),flip(a)]. 3980 x \ T(y,x \ 1) = y * ((x \ y) / y). [para(3978(a,1),946(a,1,2))]. 3981 K(x,(x / y) / x) = x \ T(x,y \ 1). [para(3978(a,1),3259(a,1,2)),flip(a)]. 3982 (x * ((x / y) / x)) * y = T(x,y \ 1). [para(3979(a,1),1572(a,2))]. 3983 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3979(a,1),1574(a,1,2)),flip(a)]. 3984 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3979(a,1),1587(a,1,1,2))]. 3986 T(x,(x * y) \ x) = T(x,y \ 1). [para(3979(a,1),3940(a,1)),flip(a)]. 3987 T(x,(x \ y) \ 1) = T(x,y \ x). [para(14(a,1),3986(a,1,2,1)),flip(a)]. 3988 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(105(a,2),3977(a,1,2,1))]. 3989 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(68,a,3980,a(flip))]. 3990 x * (y * ((x \ y) / y)) = T(y,x \ 1). [para(3980(a,1),14(a,1,2))]. 3991 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(59(a,1),3980(a,2,2,1))]. 3992 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(257(a,2),3980(a,2,2)),flip(a)]. 3993 (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). [para(3980(a,1),644(a,1))]. 3994 L(x,y,y \ 1) \ T(x,L(x,y,y \ 1) \ 1) = x * (a(1 / y,y,x) / x). [para(2638(a,1),3980(a,2,2,1))]. 3995 (x \ 1) \ T(y,x) = y * (((x \ 1) \ y) / y). [para(2935(a,1),3980(a,1,2))]. 3996 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(3980(a,2),3962(a,1,2))]. 3997 K(x,(x / y) / x) \ 1 = T(x,y \ 1) \ x. [para(3981(a,2),3134(a,1,1))]. 3998 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(74,a,3982,a)]. 3999 (x * y) * ((y * x) * (K(y,x) / (y * x))) = T(y * x,(x * y) \ 1). [para(26(a,2),3990(a,1,2,2,1))]. 4000 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3998(a,2),123(a,2,1))]. 4001 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3891(a,1),3939(a,1,1))]. 4002 K(T(x,y),y) = K(x,(x * y) / x). [para(4001(a,1),3901(a,1))]. 4003 K(T(x,y),y) * z = K(x,(x * y) / x) * z. [hyper(22,a,4002,a)]. 4004 K(T(x,x \ y),x \ y) = K(x,y / x). [para(14(a,1),4002(a,2,2,1))]. 4005 K(T(x,T(y,x)),T(y,x)) = K(x,y). [para(127(a,1),4002(a,2,2))]. 4007 R(T(x,x * y),y,x) = T(x,T(y,x)). [para(3960(a,2),3943(a,1))]. 4008 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(4007(a,1),146(a,1,2))]. 4009 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(4007(a,1),704(a,1,2)),flip(a)]. 4010 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [para(3890(a,1),744(a,2))]. 4011 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3890(a,1),1595(a,2,2,1))]. 4012 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3890(a,1),1582(a,2,2,1))]. 4013 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3890(a,1),2323(a,1,1))]. 4014 x * ((y * (x \ 1)) / y) = T(y,x \ 1) / y. [para(3890(a,2),3217(a,2)),flip(a)]. 4015 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(106(a,1),3900(a,1,2))]. 4016 x * ((y / x) \ (x \ y)) = y / (y / x). [para(4015(a,2),14(a,1,2))]. 4017 T(x,x \ y) \ x = x \ (y / (y / x)). [para(4015(a,1),3907(a,2))]. 4018 x / (x / y) = y * (T(y,y \ x) \ y). [para(3907(a,2),4016(a,1,2)),flip(a)]. 4019 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(13(a,1),4018(a,2,2,1,2))]. 4020 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [para(759(a,2),3919(a,1,1)),flip(a)]. 4022 T(x \ T(x * y,y),x) = R(y,x,y). [para(3959(a,1),505(a,2,1)),flip(a)]. 4023 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3959(a,1),513(a,1,1))]. 4024 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(4023(a,1),84(a,1,1))]. 4025 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3983(a,1),2454(a,2,1,2))]. 4026 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [para(3991(a,1),657(a,1)),flip(a)]. 4027 K(x,(x * y) / x) * (K(T(x,y),y) \ z) = z. [para(4003(a,1),14(a,1))]. 4028 K(T(x,y),y) * (K(x,(x * y) / x) \ z) = z. [para(4003(a,2),14(a,1))]. 4029 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(18,a,283,a,b,4009,a),flip(a)]. 4030 ((x * (1 / y)) / x) * y = T(x,y \ 1) / x. [para(4014(a,1),561(a,2))]. 4031 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [para(4019(a,1),930(a,1)),flip(a)]. 4032 x * (((x * y) / ((x * y) / x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). [para(4019(a,1),991(a,1,1)),flip(a)]. 4033 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3959(a,1),4029(a,1,1))]. 4034 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(4031(a,1),948(a,2,2,1,2))]. 4035 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(59(a,1),3992(a,2,2,2))]. 4036 T(x,((x * y) \ x) \ K(y,x)) = K(y,x) \ x. [para(756(a,1),4020(a,1,2))]. 4037 ((L(x \ 1,x,y) \ 1) * y) / (L(x \ 1,x,y) \ 1) = y * K(x,y). [para(759(a,2),3893(a,2,2))]. 4038 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1825(a,1),3893(a,2,2))]. 4039 T(x,T(y \ 1,z) \ 1) \ x = T(x \ T(x,y),z) \ 1. [para(3904(a,1),3997(a,1,1)),flip(a)]. 4040 K(x \ y,T(x,y)) = K(x \ y,x). [para(3931(a,1),3953(a,1))]. 4041 K(x \ (x * y),x) = K(y,T(x,x * y)). [para(13(a,1),4040(a,1,1)),flip(a)]. 4042 K(x,T(y,y * x)) = K(x,y). [para(13(a,1),4041(a,1,1)),flip(a)]. 4044 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [para(3984(a,2),3981(a,1)),flip(a)]. 4045 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3988(a,2),19(a,1))]. 4046 K(((x / y) \ 1) \ y,(x / y) \ 1) = y \ (x * (y / x)). [para(4026(a,1),83(a,1,2)),flip(a)]. 4047 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3239(a,1),4044(a,1,2,2,1)),flip(a)]. 4048 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3911(a,1),596(a,1,1))]. 4049 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [para(4013(a,2),3981(a,1))]. 4050 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(3935(a,1),20(a,1))]. 4051 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [para(13(a,1),3993(a,1,2,1)),flip(a)]. 4052 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [para(4051(a,1),3040(a,1))]. 4053 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(261(a,2),4052(a,1,2))]. 4054 x * ((x * (((x \ y) \ 1) \ 1)) / ((((x / y) \ 1) \ 1) * (x * (((x \ y) \ 1) \ 1)))) = (((x / y) \ 1) \ (x * (((x \ y) \ 1) \ 1))) * ((x / y) \ 1). [para(2896(a,1),4052(a,1,1))]. 4055 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [para(4053(a,1),554(a,1,1)),flip(a)]. 4056 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3981(a,1),4011(a,1,1))]. 4057 ((x * y) / x) \ T(y * ((x \ y) \ 1),y) = (x \ y) \ 1. [para(605(a,1),3936(a,1,2))]. 4058 T(x * ((y \ x) \ 1),x) = ((y * x) / y) * ((y \ x) \ 1). [para(4057(a,1),14(a,1,2)),flip(a)]. 4059 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(2779(a,1),4035(a,1,2))]. 4060 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(4059(a,1),3657(a,1,2)),flip(a)]. 4061 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [para(4060(a,2),3619(a,1)),flip(a)]. 4062 (x * (T(x,y) \ x)) \ (x * z) = x * ((x * (T(x,y) \ x)) \ z). [para(4019(a,1),4032(a,1,2,1)),flip(a)]. 4063 x * ((x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,x). [para(4062(a,1),28(a,2)),flip(a)]. 4064 T(K(x,y),x * K(z,x)) = K(x,y). [para(4037(a,1),3107(a,1,2))]. 4065 T(x * K(y,x),K(x,z)) = x * K(y,x). [hyper(35,a,4064,a)]. 4066 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(4038(a,2),19(a,1))]. 4067 ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [para(4038(a,1),3021(a,2))]. 4068 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [para(4055(a,1),3895(a,1)),flip(a)]. 4069 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [para(4068(a,1),2148(a,1)),flip(a)]. 4070 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(13(a,1),4069(a,1,1,1)),flip(a)]. 4071 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(13(a,1),4070(a,1,1,1)),flip(a)]. 4072 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [para(3910(a,1),3790(a,1)),flip(a)]. 4073 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2652(a,1),4072(a,2,1))]. 4074 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [para(4073(a,1),4071(a,1))]. 4075 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(4074(a,1),3289(a,1,2,1))]. 4076 x * L(x \ y,x,T(x,z) \ x) = L(y,T(x,z) \ x,x). [para(3196(a,1),4063(a,1,2))]. 4077 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [para(3872(a,2),185(a,1)),flip(a)]. 4078 T(x / y,(x * y) / x) = y \ x. [hyper(1244,a,3958,a),flip(a)]. 4079 T(x / T(y,x),y) = T(y,x) \ x. [para(127(a,1),4078(a,1,2))]. 4080 T(x / T(y,x),z) * y = y * T(T(y,x) \ x,z). [para(4079(a,1),144(a,1,2,1)),flip(a)]. 4081 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(26(a,2),4048(a,2,1))]. 4082 R(x,y,T(K(z,z \ 1),y)) = R(x,K(z,z \ 1),y). [para(3848(a,1),3866(a,1))]. 4083 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [para(2933(a,1),4082(a,1,3)),flip(a)]. 4084 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1352(a,1),4083(a,1,2)),flip(a)]. 4086 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1352(a,1),4084(a,1,3)),flip(a)]. 4087 x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. [para(3878(a,1),100(a,1))]. 4088 x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. [para(592(a,1),4087(a,1,2))]. 4089 (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). [para(104(a,1),4088(a,1,2,2)),flip(a)]. 4090 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [para(4047(a,2),4049(a,2)),flip(a)]. 4091 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(2935(a,1),4090(a,2,1,2))]. 4092 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(11(a,1),3883(a,2,1,1,2))]. 4093 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(59(a,1),4092(a,2,2))]. 4094 x * (x * T(T(x,T(y,x)) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. [para(32(a,2),3963(a,1,2,2,1,1,2))]. 4095 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [para(4034(a,1),1164(a,1))]. 4096 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(104(a,1),4095(a,2,1,2))]. 4097 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3896(a,1),3909(a,2,2))]. 4098 ((x * y) / x) \ L(z,T(x,y) \ x,(x * y) / x) = y \ ((T(x,y) \ x) * z). [hyper(68,a,4097,a)]. 4099 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = L((x \ 1) * z,K(x,x \ 1),y). [para(3858(a,2),3821(a,1))]. 4100 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2392(a,1),4025(a,1,1,1))]. 4101 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3801(a,1),4100(a,1,1,1))]. 4102 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(106(a,1),4101(a,1,1))]. 4103 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3989(a,1),4102(a,2,1))]. 4104 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(18,a,2459,a(flip),b,4103,a),flip(a)]. 4105 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [para(4103(a,2),16(a,1))]. 4106 K(x \ 1,x) * (y \ ((x \ 1) \ 1)) = y \ x. [hyper(2997,a,4104,a)]. 4107 (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). [para(105(a,2),4104(a,2,2))]. 4108 x \ (((y * (y \ z)) \ 1) \ 1) = (x \ z) * K(z,z \ 1). [para(225(a,2),4104(a,2,2,1)),flip(a)]. 4110 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(4104(a,1),3048(a,1,1))]. 4111 K(x,x \ 1) * (y \ x) = y \ T(x,x \ 1). [para(4107(a,1),2932(a,2))]. 4112 K(x,x \ 1) * ((y \ x) * z) = (y \ T(x,x \ 1)) * z. [para(4107(a,1),3830(a,1,1)),flip(a)]. 4114 (x \ 1) * ((y \ T(x,x \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(4112(a,1),2705(a,1,2))]. 4115 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(105(a,1),4114(a,1,2,1,2))]. 4116 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(4115(a,1),153(a,1,2)),flip(a)]. 4117 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3763(a,1),3817(a,1,2))]. 4118 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [para(3819(a,1),3750(a,1)),flip(a)]. 4119 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [para(4117(a,1),308(a,1)),flip(a)]. 4120 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [para(4119(a,1),3747(a,1))]. 4121 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2914(a,2),4120(a,1,3))]. 4122 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,x / (z * y)). [para(179(a,1),3730(a,2,2))]. 4123 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K(x \ (z * y),(z * y) \ x). [para(4122(a,2),3192(a,1))]. 4124 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),(z * y) \ x). [para(179(a,1),4123(a,1,2))]. 4126 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1352(a,1),3803(a,2,2))]. 4127 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(57(a,1),4126(a,1,1))]. 4129 x / T(y,y \ T(x,x \ 1)) = y \ x. [para(4127(a,2),4105(a,1))]. 4130 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(207(a,1),4129(a,1,2,2,2))]. 4131 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [para(4130(a,1),3815(a,1)),flip(a)]. 4132 (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. [hyper(2995,a,4131,a)]. 4133 (x \ y) * K(y \ 1,y) = x \ (1 / (1 / y)). [para(4131(a,1),2914(a,1)),flip(a)]. 4134 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(4132(a,1),3830(a,1,1)),flip(a)]. 4135 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ (1 / (1 / T(y \ 1,z))). [para(3190(a,1),4133(a,1,2))]. 4136 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [para(4134(a,1),2682(a,1)),flip(a)]. 4137 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(4136(a,1),4093(a,1,1))]. 4138 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4137(a,1),19(a,1))]. 4139 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ (1 / (T(1 / y,z) \ 1)). [para(2866(a,1),4135(a,2,2,2))]. 4140 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ T(1 / y,z). [para(57(a,1),4139(a,2,2))]. 4142 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3763(a,1),3816(a,1,2,1))]. 4143 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3748(a,1),4142(a,1,2))]. 4144 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [para(4143(a,1),319(a,1)),flip(a)]. 4145 a(x * K(y \ 1,y),z,u) = a(x,z,u). [para(4144(a,1),3747(a,1))]. 4146 a(1 / x,y,z) = a(x \ 1,y,z). [para(1608(a,1),4145(a,1,1)),flip(a)]. 4147 a(x * (1 / y),z,u) = a(x * (y \ 1),z,u). [para(2404(a,1),4145(a,1,1)),flip(a)]. 4148 ((1 / (x * y)) * x) * y = a((x * y) \ 1,x,y). [para(4146(a,1),446(a,2))]. 4149 ((1 / x) * (x / y)) * y = a(x \ 1,x / y,y). [para(4146(a,1),613(a,2))]. 4150 L(x,y,y \ 1) \ x = a(y \ 1,y,x). [para(4146(a,1),2638(a,2))]. 4151 a(x \ 1,x / y,y) \ y = L(y,x / y,x \ 1). [para(4146(a,1),3789(a,1,1))]. 4152 a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. [hyper(74,a,4148,a)]. 4153 a(x \ 1,x / y,y) / y = (1 / x) * (x / y). [hyper(74,a,4149,a)]. 4154 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. [para(4152(a,2),3894(a,2,1)),flip(a)]. 4155 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [para(4152(a,2),4067(a,1,1))]. 4156 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) != x * z | ((x \ (1 / y)) * x) * y = z. [para(4155(a,2),19(a,1))]. 4157 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. [para(484(a,1),4154(a,2,1))]. 4158 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. [para(1825(a,1),4157(a,2,1))]. 4159 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). [para(4158(a,2),4089(a,1))]. 4160 ((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x). [hyper(4156,a,4159,a)]. 4161 (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1). [para(57(a,1),4160(a,1,1,1,2)),flip(a)]. 4162 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [para(4161(a,1),4115(a,1))]. 4163 T(1 / x,(y \ x) * y) = x \ 1. [hyper(131,a,4162,a)]. 4164 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [para(4162(a,1),4137(a,1))]. 4165 T(1 / (x * y),y * x) = (x * y) \ 1. [para(13(a,1),4163(a,1,2,1))]. 4166 (1 / (x * y)) * (y * x) = (y * x) * ((x * y) \ 1). [para(4165(a,1),104(a,1,2)),flip(a)]. 4167 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [para(3881(a,1),100(a,1))]. 4168 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [para(4167(a,1),4012(a,1))]. 4169 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3982(a,1),4168(a,1,1)),flip(a)]. 4170 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(2935(a,1),4169(a,1,2,1,2)),flip(a)]. 4171 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(2935(a,1),4170(a,1,1)),flip(a)]. 4172 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(13(a,1),4171(a,1,2,2)),flip(a)]. 4173 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(13(a,1),4172(a,1,2)),flip(a)]. 4174 L(x,y \ T(y,z),y) = x. [hyper(486,a,4173,a)]. 4175 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(74,a,4173,a)]. 4176 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(17,a,869,a,b,4173,a)]. 4177 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(17,a,3969,a(flip),b,4173,a)]. 4179 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(17,a,872,a(flip),b,4173,a)]. 4181 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3898(a,2),4173(a,1,2,1))]. 4183 L(x,y,y \ T(y,z)) = x. [hyper(3358,a,4174,a)]. 4184 L(x,T(y,T(z,y)) \ y,z) = x. [para(3899(a,2),4174(a,1,2))]. 4187 L(x,y,T(z,T(y,z)) \ z) = x. [para(3899(a,2),4183(a,1,3))]. 4188 L(x,T(y,z) \ y,(y * z) / y) = x. [para(126(a,1),4184(a,1,2,1,2))]. 4189 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [para(4188(a,1),4098(a,1,2)),flip(a)]. 4190 R(x,x \ T(x,y),z) = x. [para(4175(a,1),98(a,2))]. 4192 R(x,x \ (K(y,x) \ x),z) = x. [para(4020(a,1),4190(a,1,2,2))]. 4193 R(x,K(y,x) \ 1,z) = x. [para(3577(a,1),4192(a,1,2))]. 4194 x \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(4193(a,1),3579(a,1,1))]. 4195 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [para(4176(a,1),3548(a,1))]. 4196 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [para(4176(a,1),4056(a,1))]. 4197 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(74,a,4179,a)]. 4198 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [hyper(68,a,4179,a)]. 4199 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [para(4197(a,1),173(a,1,1))]. 4200 R(x \ T(x,y),x,z) = x \ T(x,y). [para(4197(a,1),3219(a,2))]. 4201 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(4197(a,1),4081(a,1,1)),flip(a)]. 4202 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [para(4200(a,1),3383(a,1)),flip(a)]. 4206 (T(x,y) \ x) * (x * y) = y * x. [hyper(17,a,3944,a(flip),b,4181,a)]. 4207 (x * y) / (y * x) = T(y,x) \ y. [hyper(74,a,4206,a)]. 4208 T(T(x,y) \ x,x * y) = (x * y) \ (y * x). [para(4206(a,1),32(a,2,2))]. 4209 T(x,y / x) \ x = y / (x * (y / x)). [para(16(a,1),4207(a,1,1)),flip(a)]. 4210 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(16(a,1),4207(a,1,2)),flip(a)]. 4211 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(4207(a,2),3289(a,1,2,1)),flip(a)]. 4212 T(x,(x \ 1) * (y * x)) = T(x,y). [para(4211(a,2),4075(a,1)),flip(a)]. 4213 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(2144(a,1),4212(a,1,2))]. 4214 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(4189(a,1),14(a,1,2))]. 4215 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(3151(a,1),4189(a,1,2))]. 4216 x * ((K(y,x) \ 1) * z) = (K(y,x) \ x) * z. [para(4194(a,1),14(a,1,2))]. 4217 K(x,y) = T(T(y,x) \ y,y * x). [para(4208(a,2),26(a,2))]. 4218 T(T(x,x \ y) \ x,y) = K(x \ y,x). [para(14(a,1),4217(a,2,2)),flip(a)]. 4219 T(x \ (y / (y / x)),y) = K(x \ y,x). [para(4017(a,1),4218(a,1,1))]. 4220 (x * (y / x)) / y = (x \ y) \ (y / x). [para(106(a,1),4210(a,1,1)),flip(a)]. 4221 (x * (y / x)) / y = x \ ((x \ y) \ y). [para(4220(a,2),3924(a,1))]. 4222 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [para(4221(a,1),4010(a,1))]. 4223 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [para(4214(a,1),3906(a,2))]. 4224 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(4215(a,1),4096(a,1,2,1))]. 4225 (K(x,y) \ y) * z != y * u | (K(x,y) \ 1) * z = u. [para(4216(a,1),19(a,1))]. 4226 R(K(x,y),x,z) = K(x,y). [para(4201(a,2),3973(a,2)),flip(a)]. 4228 (K(x,y) * x) * z = K(x,y) * (x * z). [para(4226(a,1),100(a,1,1)),flip(a)]. 4229 (x * L(K(x,y),z,u)) * (1 / x) = L(K(x,y),z,u) * K(x,x \ 1). [para(4226(a,1),3487(a,1,1,1)),flip(a)]. 4230 L(x,y,K(y,z)) = x. [hyper(306,a,4228,a)]. 4232 (x * K(x,y)) * z = K(x,y) * (x * z). [para(3082(a,1),4228(a,1,1))]. 4237 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [para(4202(a,1),785(a,1))]. 4239 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(4222(a,1),3228(a,1,1))]. 4240 T(x,x \ (y \ x)) = T(x,y \ 1). [para(4239(a,1),3218(a,1))]. 4241 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(13(a,1),4240(a,1,2,2))]. 4242 T(x,(x / y) \ 1) = T(x,x \ y). [para(59(a,1),4240(a,1,2,2)),flip(a)]. 4243 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(4240(a,1),129(a,1,2))]. 4244 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(4240(a,1),159(a,1,2))]. 4246 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4240(a,1),4017(a,1,1)),flip(a)]. 4247 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4240(a,1),3996(a,1,1))]. 4248 (x / y) \ T(x,x \ y) = x * (y / x). [para(4242(a,1),3991(a,1,2))]. 4249 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(59(a,1),4243(a,1,2,2))]. 4250 (x \ ((y \ 1) \ x)) * T(x,y) = (y \ 1) \ x. [para(2935(a,1),4243(a,1,2))]. 4251 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(2935(a,1),4244(a,1,2))]. 4252 (x / y) \ ((x \ y) \ y) = x * (y / x). [para(105(a,1),4248(a,1,2))]. 4253 (x * T(x \ (T(x,x \ y) * y),z)) / y = (x / y) * T(x * (y / x),z). [para(4248(a,1),1153(a,2,2,1))]. 4254 ((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(4248(a,1),1482(a,1,1,2,1))]. 4255 T(x * y,x \ 1) = ((x * y) \ y) \ y. [para(4241(a,1),105(a,1))]. 4256 x / T(y * x,y \ 1) = (y * x) \ x. [para(4241(a,1),159(a,1,2))]. 4257 T((1 / x) * y,x) = (((1 / x) * y) \ y) \ y. [para(59(a,1),4255(a,1,2))]. 4258 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [para(4255(a,1),2935(a,1)),flip(a)]. 4259 (((x \ 1) * y) \ y) * T((x \ 1) * y,x) = y. [para(4258(a,2),14(a,1,2))]. 4260 ((((x / y) \ 1) * x) \ x) \ x = ((x / y) \ 1) * (y * (x / y)). [para(4258(a,1),2146(a,1))]. 4261 T(((x \ 1) * y) \ y,T((x \ 1) * y,x)) = T((x \ 1) * y,x) \ y. [para(4259(a,1),32(a,2,2))]. 4262 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(2637(a,1),4247(a,2,2))]. 4263 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4237(a,1),3915(a,1,1)),flip(a)]. 4264 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [para(4237(a,1),3900(a,1)),flip(a)]. 4265 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [para(4263(a,2),3919(a,1))]. 4266 T(x,y \ 1) \ x = y * T(y \ 1,x). [para(4264(a,1),4246(a,1)),flip(a)]. 4267 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(4266(a,2),28(a,2,1)),flip(a)]. 4269 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [para(4266(a,2),642(a,1))]. 4270 K(x \ (x / y),x) = T(x,y \ 1) \ x. [para(4266(a,2),745(a,2))]. 4271 K(x,y) = T(y,((y * x) \ y) \ 1) \ y. [para(4266(a,2),755(a,2))]. 4272 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(4266(a,2),1854(a,1,1))]. 4273 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(4266(a,2),3211(a,2,2)),flip(a)]. 4274 T(x,y) \ x = y \ T(y,x). [para(2935(a,1),4269(a,1,1))]. 4275 T(x,y) * (y \ T(y,x)) = x. [para(4274(a,1),14(a,1,2))]. 4276 (x * y) / x = y * (T(y,x) \ y). [para(4274(a,2),3885(a,1,2)),flip(a)]. 4277 T(x,y / x) \ x = x \ (y / (y / x)). [para(4274(a,2),3900(a,1))]. 4278 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4274(a,2),4173(a,1,2,1))]. 4279 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4274(a,2),4176(a,1,1)),flip(a)]. 4280 K(x,y) = T(x \ T(x,y),y * x). [para(4274(a,1),4217(a,2,1))]. 4281 T(x,T(y,x)) = T(x,y). [hyper(3913,a,4275,a)]. 4282 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(4281(a,1),38(a,1,1)),flip(a)]. 4283 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(38(a,1),4281(a,1,2))]. 4285 T(x,y / x) = T(x,x \ y). [para(106(a,1),4281(a,1,2)),flip(a)]. 4286 T(x,y) \ (x * y) = T(y,x). [para(4281(a,1),143(a,2))]. 4287 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4281(a,1),144(a,1,2,1))]. 4289 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4281(a,1),145(a,1,2,1))]. 4290 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4281(a,1),146(a,1,2,1))]. 4291 T((x \ y) \ y,T(z,x)) = T(T(x,z),x \ y). [para(4281(a,1),195(a,1,1)),flip(a)]. 4292 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(461(a,1),4281(a,1,2))]. 4293 T(x,(x * y) * (x \ 1)) = T(x,R(y,x,x \ 1)). [para(508(a,1),4281(a,1,2)),flip(a)]. 4294 T(x \ y,x) = ((x \ y) \ y) \ y. [para(4281(a,1),197(a,1))]. 4295 T(x,x \ y) \ y = T(x \ y,x). [para(4281(a,1),206(a,1)),flip(a)]. 4296 T(x,y) * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * T(x,y). [para(4281(a,1),411(a,1,2,1,1))]. 4297 x * (T(x,y) \ y) = T(y,x). [para(4281(a,1),898(a,2))]. 4298 T(x,y) \ y = x \ T(y,x). [para(4281(a,1),900(a,1,2)),flip(a)]. 4300 T(x * (T(x,y) \ x),y) = x. [para(4281(a,1),3922(a,1,1,2,1))]. 4301 (x / T(y,x)) * y = T(x,y). [para(4281(a,1),3943(a,2))]. 4302 T(x,y) * (y * x) = x * (x * y). [para(4281(a,1),3944(a,1,1))]. 4304 R(T(x,x * y),y,x) = T(x,y). [para(4281(a,1),4007(a,2))]. 4305 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(4281(a,1),4008(a,1,2)),flip(a)]. 4306 x * (x * T(T(x,y) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. [para(4281(a,1),4094(a,1,2,2,1,1))]. 4307 T(x,(x \ 1) * y) = T(x,x \ y). [para(4281(a,1),4213(a,1))]. 4308 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [para(4281(a,1),4265(a,1)),flip(a)]. 4309 (x / y) * T(y,y \ x) = y * (x / y). [para(4285(a,1),104(a,1,2))]. 4310 (x * (y / x)) / T(x,x \ y) = y / x. [para(4285(a,1),118(a,1,2))]. 4312 x / T(y,x / y) = y \ x. [para(4285(a,2),159(a,1,2))]. 4315 R(T(x,y),y / x,x) = T(x,x \ y). [para(4285(a,1),521(a,2))]. 4316 T(x,y) * T(y,x) = x * y. [para(4286(a,1),14(a,1,2))]. 4317 (x * y) / T(y,x) = T(x,y). [para(4286(a,1),57(a,1,2))]. 4318 x * T(y,z) != z * y | T(z,y) = x. [para(4286(a,1),72(a,1,2)),flip(b)]. 4319 K(x \ 1,x) * T(y,(x \ 1) \ 1) = x * (T((x \ 1) \ 1,y) \ y). [para(4297(a,1),2712(a,1,2))]. 4320 T(x,y) * (x \ T(y,x)) = y. [para(4298(a,1),14(a,1,2))]. 4321 x / (y \ T(x,y)) = T(y,x). [para(4298(a,1),57(a,1,2))]. 4322 T(x / T(y,x),z) * T(y,x) = T(y,x) * T(y \ T(x,y),z). [para(4298(a,1),281(a,2,2,1))]. 4323 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4298(a,1),79(a,1,1,2,1))]. 4324 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(4298(a,1),1567(a,1,2,1))]. 4325 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(4298(a,1),1733(a,1,2,1))]. 4326 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(4298(a,2),1831(a,2,1))]. 4327 T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z) = x * T(T(y,x) / x,z). [para(4298(a,2),3956(a,1,1,2,1))]. 4328 T(x / T(y,x),y) = y \ T(x,y). [para(4298(a,1),4079(a,2))]. 4329 T(x / (x / y),y \ x) = y. [para(4018(a,2),4300(a,1,1))]. 4330 T(x,y) / y = x / T(y,x). [hyper(74,a,4301,a)]. 4331 (x / T(y,x)) \ T(x,y) = y. [hyper(68,a,4301,a)]. 4332 T(x,y) = (x * (x * y)) / (y * x). [para(4301(a,1),1225(a,2)),flip(a)]. 4333 x / T(y \ x,y) = (y \ x) \ x. [para(57(a,1),4312(a,1,2,2))]. 4335 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4316(a,1),24(a,2,1,2)),flip(a)]. 4336 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4316(a,1),24(a,2,2,1)),flip(a)]. 4337 (x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,T(y,x),T(x,y)). [para(4316(a,1),28(a,2,1)),flip(a)]. 4338 T(x,y) \ (y * x) = T(T(y,x),T(x,y)). [para(4316(a,1),32(a,2,2)),flip(a)]. 4340 L(T(x,y) \ z,T(x,y),T(y,x)) = (y * x) \ (T(y,x) * z). [para(4316(a,1),91(a,2,1))]. 4341 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(4316(a,1),100(a,1,2))]. 4342 (x * T(y,z)) * T(z,y) != u * (y * z) | R(x,T(y,z),T(z,y)) = u. [para(4316(a,1),329(a,2,2))]. 4343 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(42(a,2),4317(a,1,2))]. 4344 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4317(a,1),1170(a,1,1)),flip(a)]. 4345 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ T(1,y),(y \ T(1,y)) \ 1) / T(y,1). [para(4321(a,1),3353(a,2,2))]. 4346 T(T(x / (x / y),z),y \ x) = T(y,z). [para(4329(a,1),38(a,1,1)),flip(a)]. 4347 T(x / (x / (x / y)),y) = x / y. [para(59(a,1),4329(a,1,2))]. 4348 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(4329(a,1),104(a,1,2)),flip(a)]. 4349 ((x \ y) * x) / (x \ y) = y / (y / x). [para(4329(a,1),127(a,1,1,2))]. 4350 T(x / (x / y),z) * (y \ x) = (y \ x) * T(y,z). [para(4329(a,1),144(a,1,2,1)),flip(a)]. 4354 (T(x,y) / y) \ x = T(y,x). [para(4330(a,2),59(a,1,1))]. 4355 T(x * (y / x),x) = x * (y / T(x,y)). [para(4330(a,1),1838(a,2,2))]. 4356 T(x,y) / T(y,x) = x / T(T(y,x),x). [para(4281(a,1),4330(a,1,1))]. 4357 (x / T(T(y,x),z)) \ T(x,T(y,z)) = T(y,z). [para(38(a,1),4331(a,1,1,2))]. 4358 (T(x,y) / y) \ ((x / T(y,x)) * z) = z. [para(4354(a,1),201(a,1,2,1,2))]. 4359 R(T(x,y),x \ y,x) = T(x,x \ y). [para(14(a,1),4304(a,1,1,2))]. 4360 T(R(x,y,x),x * y) = T(x,y). [para(4304(a,1),42(a,1)),flip(a)]. 4361 ((x * y) * T(x,y)) / (x * y) = R(x,y,x). [para(4360(a,1),127(a,1,1,2))]. 4363 T((T(x,y) * y) / T(x,y),x) = y. [para(4276(a,2),3922(a,1,1))]. 4364 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4276(a,2),4215(a,1,2)),flip(a)]. 4365 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [para(4280(a,2),4044(a,2))]. 4366 T(x,T(T(y,x),z \ T(y,x))) = T(x,T(y,T(y,x) * (z \ 1))). [para(1247(a,1),4283(a,1,2))]. 4368 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(4294(a,1),490(a,1,1))]. 4369 (((x \ y) \ y) / y) \ (T(x \ y,x) \ y) = ((x \ y) \ y) * (y / ((x \ y) \ y)). [para(4294(a,2),4252(a,1,2,1))]. 4370 T(((1 / x) * y) \ y,(1 / x) * y) = T((1 / x) * y,x) \ y. [para(4257(a,2),4294(a,2,1))]. 4371 T(((x \ 1) * y) \ y,(x \ 1) * y) = T((x \ 1) * y,x) \ y. [para(4258(a,2),4294(a,2,1))]. 4373 T((1 / (1 / x)) \ y,1 / (1 / x)) = T(1 / (1 / x),x \ y) \ y. [para(2731(a,1),4295(a,1,1)),flip(a)]. 4374 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [para(4295(a,2),4022(a,1))]. 4375 (x * (x * y)) \ ((x * y) * x) = K(y * x,T(x,y)). [para(4302(a,1),524(a,1,1))]. 4376 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,T(x,y)). [para(4302(a,1),1044(a,2,2,1)),flip(a)]. 4377 T(x,x \ ((x \ 1) \ y)) = T(x,y). [para(14(a,1),4307(a,1,2)),flip(a)]. 4378 T(x,(1 / x) * y) = T(x,x \ y). [para(4307(a,1),2652(a,2))]. 4379 T(x \ 1,(x \ 1) \ y) = T(x \ 1,x * y). [para(4307(a,1),2655(a,1))]. 4380 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4307(a,1),4077(a,2,1,2))]. 4381 ((x / y) * x) / (y * (x / y)) = T(x / y,y). [para(16(a,1),4332(a,2,1,2)),flip(a)]. 4383 (x * (y / x)) / x = y / (y / (y / x)). [para(4347(a,1),127(a,1,1,2))]. 4384 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(4347(a,1),498(a,1,1))]. 4385 T(x,x \ ((1 / x) \ y)) = T(x,y). [para(4377(a,1),2755(a,2))]. 4386 T((x \ 1) \ y,T(x,y)) = T((x \ 1) \ y,x). [para(4377(a,1),3950(a,1,2))]. 4387 x / T(y,(1 / y) * x) = y \ x. [para(4378(a,2),159(a,1,2))]. 4388 (x \ ((1 / x) \ y)) * T(x,y) = (1 / x) \ y. [para(4385(a,1),129(a,1,2))]. 4389 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(57(a,1),4387(a,1,2,2,1))]. 4390 (x * (y / x)) * x = y * T(x,x \ y). [para(4315(a,1),495(a,1,2)),flip(a)]. 4391 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4270(a,2),3149(a,1,1))]. 4392 x / (y * (x / y)) = y \ (x / (x / y)). [para(4277(a,1),4209(a,1)),flip(a)]. 4393 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(17,a,938,a,b,4278,a)]. 4394 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [para(4279(a,2),4214(a,2))]. 4395 T(x,(y \ z) / z) = T(x,y \ 1). [para(4308(a,1),4281(a,1))]. 4397 T(x,(y / z) \ 1) = T(x,z / y). [para(59(a,1),4395(a,1,2,1)),flip(a)]. 4399 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4397(a,1),4091(a,1,1,2))]. 4400 (x * T(y,y \ x)) / y = y * (x / y). [para(4309(a,1),1166(a,2))]. 4401 (x / T(y,x)) * T(y,y \ T(x,y)) = y * (T(x,y) / y). [para(4330(a,1),4309(a,1,1))]. 4402 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4326(a,2),4332(a,2,2)),flip(a)]. 4403 T(x,y) \ (y * x) = T(T(y,x),x). [para(4338(a,2),4282(a,1))]. 4404 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),4403(a,1,1))]. 4405 (x * (y \ x)) / (x / y) = (y \ x) * y. [para(4348(a,1),1236(a,2))]. 4406 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [para(4389(a,1),59(a,1,1)),flip(a)]. 4407 (x * (y / x)) * x = y * ((x \ y) \ y). [para(105(a,1),4390(a,2,2))]. 4408 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(4390(a,1),80(a,1,2))]. 4409 (x * T(y,y \ x)) / T(y,z) = ((y * (x / y)) / T(y,z)) * y. [para(4390(a,1),1189(a,1,1))]. 4410 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(57(a,1),4391(a,1,1,1,2)),flip(a)]. 4411 (x * (y \ x)) / (x / y) = (x / y) * (x / (x / y)). [para(196(a,1),4400(a,1,1,2))]. 4412 ((x \ y) * x) * (y / x) = y * (x \ y). [para(4405(a,1),16(a,1,1))]. 4413 ((x \ 1) \ (x \ y)) \ (x \ y) = T(x \ 1,y). [para(14(a,1),4406(a,1,2)),flip(a)]. 4414 (x * y) * (((x \ 1) \ y) \ y) = (x \ 1) * (x * y). [para(4406(a,1),104(a,1,2))]. 4415 (x * ((y \ x) \ x)) * K(y,y * (x / y)) = y * (y * (x / y)). [para(4407(a,1),82(a,1,1))]. 4416 K(x \ y,x) \ x = x * K(x,y / x). [para(4410(a,1),3977(a,1))]. 4417 (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). [para(59(a,1),4412(a,1,1,1))]. 4418 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3578,a,4416,a)]. 4419 K(x,(x * y) / x) = K(y,x) \ 1. [para(13(a,1),4418(a,1,1,1)),flip(a)]. 4420 K(T(x,y),y) \ 1 = K(y,x). [para(127(a,1),4419(a,1,2)),flip(a)]. 4421 K(T(x,y),y) = K(y,x) \ 1. [para(4419(a,1),4002(a,2))]. 4422 (K(x,y) \ 1) * (K(T(y,x),x) \ z) = z. [para(4419(a,1),4027(a,1,1))]. 4423 K(T(x,y),y) * ((K(y,x) \ 1) \ z) = z. [para(4419(a,1),4028(a,1,2,1))]. 4425 K(T(x,y),y) * K(y,x) = 1. [para(4420(a,1),14(a,1,2))]. 4426 R(x,K(x,y),z) = x. [para(4420(a,1),4193(a,1,2))]. 4427 R(T(x,y),K(x,z),u) = T(x,y). [para(4426(a,1),42(a,2,1))]. 4428 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4426(a,1),335(a,1,1,1)),flip(a)]. 4429 (R(x,y,z) * K(x,u)) * w = R(x,y,z) * (K(x,u) * w). [para(4426(a,1),336(a,1,1,1)),flip(a)]. 4431 (x * K(x,y)) * y = x * (y * K(x,y)). [para(4426(a,1),3177(a,1,1)),flip(a)]. 4432 (K(x,y) \ 1) \ L(z,K(x,y),K(T(y,x),x)) = K(x,y) * z. [para(4421(a,2),2654(a,1,2,3))]. 4433 x * K(T(y,x),x) = K(x,y) \ x. [para(4421(a,2),3513(a,1,2))]. 4434 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4427(a,1),336(a,1,1,1)),flip(a)]. 4435 (K(x,y) \ 1) * z != u | K(T(y,x),x) \ u = z. [para(4422(a,1),19(a,1)),flip(a)]. 4436 K(x,y) * (x * y) = x * (y * K(x,y)). [para(4431(a,1),4232(a,1)),flip(a)]. 4437 K(x,y) \ (x * (y * K(x,y))) != y * z | T(x,y) = z. [para(4436(a,1),265(a,1,2))]. 4438 R(x,y,T(x,y)) = R(x,y,x). [hyper(18,a,337,a,b,4305,a),flip(a)]. 4439 x \ T(y * x,y) = R(y,x,y). [para(4438(a,1),935(a,2))]. 4440 L(R(x,y,x),y,x) = x. [para(4438(a,1),936(a,1,1))]. 4441 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(4281(a,1),4438(a,1,3))]. 4442 R(L(x,y,x),y,x) = x. [para(4440(a,1),44(a,2))]. 4443 (L(x,y,x) * y) * x = x * (y * x). [para(4440(a,1),335(a,1,1)),flip(a)]. 4444 T(x \ T(x * y,y),T(x * y,y)) = y. [para(4440(a,1),4033(a,2))]. 4445 (x * (y * x)) / x = L(x,y,x) * y. [para(4442(a,1),178(a,1,1,1))]. 4446 x * R(y,x,y) = T(y * x,y). [para(4439(a,1),14(a,1,2))]. 4447 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(14(a,1),4439(a,1,2,1)),flip(a)]. 4448 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4439(a,1),91(a,1,1)),flip(a)]. 4449 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4446(a,1),1505(a,1,1))]. 4450 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4446(a,1),2338(a,2,1))]. 4451 (x \ T(x * y,y)) * x = T(y * x,y). [para(4446(a,1),4023(a,2))]. 4452 x * T(y,x * y) = L(y,x,y) * x. [hyper(18,a,1187,a,b,4443,a),flip(a)]. 4453 T(L(x,y,x) * y,x) = y * x. [hyper(131,a,4443,a(flip))]. 4454 T(L(x,y,x) * y,z) * x = x * T(y * x,z). [para(4453(a,1),144(a,1,2,1)),flip(a)]. 4455 T(x,L(x,y,x) * y) = T(x,y * x). [para(4453(a,1),4281(a,1,2)),flip(a)]. 4456 ((x * (y * x)) / x) / y = L(x,y,x). [hyper(74,a,4445,a(flip))]. 4457 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(68,a,4445,a(flip))]. 4458 (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). [para(4445(a,2),470(a,1))]. 4459 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(4080(a,1),4445(a,1,1,2)),flip(a)]. 4460 L(x,y,(y * x) / y) = L(x,y,x). [hyper(632,a,4452,a)]. 4461 T((x * y) / x,x * y) = L(y,x,y). [hyper(292,a,4452,a)]. 4462 T(x,y * x) = T(x,x * y). [hyper(17,a,464,a,b,4452,a)]. 4463 L(T(x,y),y,x) = T(x,y * x). [hyper(17,a,145,a,b,4452,a),flip(a)]. 4464 T(x,(x \ y) * x) = T(x,y). [hyper(17,a,470,a(flip),b,4452,a)]. 4465 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(4080(a,1),4452(a,1,2,2))]. 4466 T(x,x * (y / x)) = T(x,y). [para(16(a,1),4462(a,1,2)),flip(a)]. 4467 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4462(a,1),38(a,1,1))]. 4468 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [para(4462(a,1),42(a,2))]. 4469 T(x,x * T(y / x,z)) = T(x,x * T(x \ y,z)). [para(281(a,1),4462(a,1,2)),flip(a)]. 4470 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(4462(a,2),467(a,1,2,1))]. 4471 ((x * (y * x)) / x) / T(x,x * y) = y. [para(4462(a,1),1186(a,1,2))]. 4472 T(x,x * (1 / y)) = T(x,y \ x). [para(4462(a,1),3961(a,1))]. 4473 K(x,T(y,x * y)) = K(x,y). [para(4462(a,2),4042(a,1,2))]. 4474 ((x \ y) * x) * T(x,y) = x * ((x \ y) * x). [para(4464(a,1),104(a,1,2))]. 4475 T(x \ y,x * (y / x)) = T(x \ y,y). [para(3968(a,1),4464(a,1,2))]. 4476 (x * (x * (y / x))) / x = T(x,y) * (y / x). [para(4466(a,1),3933(a,2,1))]. 4477 ((x * (y / x)) / T(x,y)) * x = T(x * (y / x),x). [para(4466(a,1),4301(a,1,1,2))]. 4478 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4466(a,1),4320(a,1,1))]. 4479 K(x,T(x \ y,y)) = K(x,x \ y). [para(14(a,1),4473(a,1,2,2))]. 4480 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(470(a,1),4455(a,1,2))]. 4481 T(x,L(x,y,x) * y) = T(x,x * y). [para(4455(a,2),4462(a,1))]. 4482 T((x * y) / x,L(x,y,x)) = y. [para(4457(a,1),1045(a,1)),flip(a)]. 4483 T(x,L(y,x,y)) = T(x,y). [para(4482(a,1),161(a,1,1)),flip(a)]. 4484 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4483(a,1),104(a,1,2))]. 4485 T(x,T(y,y * x)) = T(x,y). [para(4483(a,1),4292(a,2))]. 4486 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(4485(a,1),145(a,1,2,1))]. 4487 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(4485(a,1),146(a,1,2,1))]. 4488 T(x \ 1,T(y,x \ y)) = T(x \ 1,y). [para(1247(a,1),4485(a,1,2))]. 4489 T(x,T(y,x * y)) = T(x,y). [para(4462(a,2),4485(a,1,2))]. 4490 T(x,T(x \ y,y)) = T(x,x \ y). [para(14(a,1),4489(a,1,2,2))]. 4491 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4481(a,1),1205(a,1,1))]. 4492 K(x,x \ T(x * y,y)) = K(x,y). [para(4444(a,1),4479(a,1,2)),flip(a)]. 4493 T(x,x \ T(x * y,y)) = T(x,y). [para(4444(a,1),4490(a,1,2)),flip(a)]. 4494 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [para(4492(a,1),4024(a,2)),flip(a)]. 4495 T(T(x,y),z * x) = T(T(x,y),x * z). [para(4467(a,1),38(a,1))]. 4496 T(T(x,y),(z \ 1) * x) = T(T(x,z \ x),y). [para(1247(a,1),4467(a,1,1)),flip(a)]. 4497 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(4484(a,1),20(a,1)),flip(a)]. 4498 T(x,T(y,(1 / x) \ y)) = T((1 / x) \ 1,y). [para(59(a,1),4488(a,1,1))]. 4499 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4446(a,1),4494(a,2,1))]. 4500 K(x \ T(x * y,x),x) = K(y,x). [para(4499(a,2),1844(a,1)),flip(a)]. 4501 K(x \ T(y,x),x) = K(x \ y,x). [para(14(a,1),4500(a,1,1,2,1))]. 4502 K(T(x \ T(y,x),z),x) = K(T(x \ y,z),x). [para(1883(a,1),4500(a,1,1))]. 4503 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(126(a,1),4501(a,1,1,2)),flip(a)]. 4504 K(T(x,y) \ y,x) = K(x \ y,x). [para(4298(a,2),4501(a,1,1))]. 4505 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(4364(a,2),4503(a,1,1))]. 4506 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4505(a,1),4224(a,1,2)),flip(a)]. 4507 (x / T(T(y,x),z \ T(y,x))) \ T(x,T(y,T(y,x) * (z \ 1))) = T(y,T(y,x) * (z \ 1)). [para(1247(a,1),4357(a,1,1,2))]. 4508 ((x / y) * x) / (y * (x / y)) = y \ x. [para(4381(a,2),106(a,1))]. 4509 (x * (y / x)) \ ((y / x) * y) = T(x \ y,x * (y / x)). [para(4508(a,1),106(a,1,1)),flip(a)]. 4510 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [para(4393(a,2),948(a,1)),flip(a)]. 4512 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [para(4394(a,1),984(a,2))]. 4513 T(x,(x \ y) * T(x,y)) = T(x,y). [para(4480(a,2),4464(a,1))]. 4514 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4513(a,1),1199(a,1,1))]. 4515 T(T(x,y),(z \ 1) * x) = T(T(x,y),z \ x). [para(4496(a,2),38(a,1))]. 4516 T((1 / x) \ 1,y) = T(x,T(y,y * x)). [para(1248(a,1),4498(a,1,2)),flip(a)]. 4517 T((1 / (1 / x)) \ 1,y) = T(1 / x,T(y,x \ y)). [para(4472(a,1),4516(a,2,2))]. 4518 T(x,(y \ x) * y) = x. [hyper(4050,a,4506,a)]. 4519 T((x \ y) * x,y) = (x \ y) * x. [hyper(35,a,4518,a)]. 4520 T(x,y * (x / y)) = x. [para(59(a,1),4518(a,1,2,1))]. 4521 T(x * (y / x),y) = x * (y / x). [para(60(a,1),4518(a,1,2))]. 4522 T(T(x,y),z * (x / z)) = T(x,y). [para(4520(a,1),38(a,1,1)),flip(a)]. 4523 T(x,T(y,z) \ 1) \ x = T(T(x,y \ 1) \ x,z). [para(4272(a,2),4270(a,1)),flip(a)]. 4524 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(459(a,1),4289(a,1,2))]. 4525 T(x,y) * T(y,y * x) = x * L(y,x,y). [para(4524(a,2),4484(a,1))]. 4527 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4462(a,2),4525(a,1,2))]. 4529 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [para(4527(a,1),472(a,2))]. 4530 L(x,T(y,x),x) = L(x,y,x). [hyper(4497,a,4529,a),flip(a)]. 4531 T(x * L(y,x,y),y) = T(x,y) * y. [para(4529(a,1),4453(a,1,1))]. 4532 L(x,y / x,x) = L(x,x \ y,x). [para(106(a,1),4530(a,1,2)),flip(a)]. 4533 L(x,T(y,y * x),x) = L(x,L(y,x,y),x). [para(461(a,1),4530(a,1,2))]. 4534 ((x * (y * x)) / x) / y = L(x,T(y,x),x). [para(4530(a,2),4456(a,2))]. 4535 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,x \ (x * y),x). [para(4532(a,1),3957(a,2))]. 4536 (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(4290(a,1),135(a,1,1,2))]. 4537 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4304(a,1),4290(a,1,2)),flip(a)]. 4538 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4315(a,1),4290(a,1,2)),flip(a)]. 4539 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4359(a,1),4290(a,1,2)),flip(a)]. 4540 T(x / (x / y),x) = L(y,y \ x,y). [hyper(18,a,470,a,b,4350,a)]. 4541 T(T(x / (x / y),z),x) = T(L(y,y \ x,y),z). [para(4540(a,1),38(a,1,1)),flip(a)]. 4542 R(T(x / (x / y),x),z,u) = L(R(y,z,u),y \ x,y). [para(4540(a,2),44(a,1,1))]. 4543 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(4540(a,2),304(a,1,2))]. 4544 (x * ((x \ y) * x)) / y = y / (y / x). [para(4543(a,1),127(a,1,1))]. 4545 L((x * y) / x,y \ x,y) = x / (x / y). [para(4544(a,1),572(a,2))]. 4546 T(T(x / (x / y),z),x) = L(T(y,z),y \ x,y). [para(4541(a,2),40(a,2)),flip(a)]. 4547 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4307(a,1),4365(a,1,2,2,1))]. 4548 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4547(a,1),14(a,1,2)),flip(a)]. 4549 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(4045,a,4548,a)]. 4550 (x \ y) * K(y,x \ 1) = y * ((x \ y) / y). [para(4549(a,1),186(a,1,2))]. 4551 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [para(4549(a,1),4061(a,2))]. 4552 (x \ y) * K(y,x \ 1) != y * z | (x \ y) / y = z. [para(4550(a,2),19(a,1))]. 4553 K(x \ ((x \ 1) \ y),x) = K(y,x). [para(4551(a,2),3596(a,1))]. 4554 K((x \ 1) * y,x) = K(x \ y,x). [para(13(a,1),4553(a,1,1,2)),flip(a)]. 4555 K(x \ ((1 / x) \ y),x) = K(y,x). [para(4553(a,1),3618(a,2))]. 4556 K((1 / x) * y,x) = K(x \ y,x). [para(4554(a,1),3681(a,2))]. 4557 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(32(a,2),4556(a,2,1))]. 4558 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(57(a,1),4556(a,1,1,1)),flip(a)]. 4559 K((1 / x) \ y,1 / x) = K(x * y,x \ 1). [para(4556(a,1),3688(a,1))]. 4560 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(609(a,1),4557(a,1,1))]. 4561 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [para(4560(a,1),3687(a,1)),flip(a)]. 4562 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4561(a,1),4420(a,1,1))]. 4563 K(x,(x \ 1) * y) = K(x,x \ y). [para(4562(a,1),4420(a,1))]. 4564 K(x,x \ ((x \ 1) \ y)) = K(x,y). [para(14(a,1),4563(a,1,2)),flip(a)]. 4565 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(2762(a,2),4563(a,1,2,1)),flip(a)]. 4566 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [para(4563(a,1),3034(a,1))]. 4567 K(x * y,T(y,x)) = K(y * x,y). [para(4375(a,1),26(a,2)),flip(a)]. 4568 (x / y) * (x / (x / y)) = (y \ x) * y. [para(4411(a,1),4405(a,1))]. 4569 K(x,x \ 1) * ((x \ y) * x) = (y / x) * (((y / (y / x)) \ 1) \ 1). [para(4568(a,1),3316(a,1,2))]. 4571 (x * (y / x)) * (y / (y / x)) = y * x. [para(59(a,1),4417(a,2,2))]. 4572 (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. [para(15(a,1),4571(a,1,1,2))]. 4573 T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(T(y,x) / x,z)). [para(4298(a,2),4469(a,2,2,2,1)),flip(a)]. 4574 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1836(a,1),4478(a,1,2))]. 4575 T(x,y) * z != x * (y / x) | T(y,x) / x = z. [para(4574(a,1),19(a,1)),flip(a)]. 4576 T(x,y) * (y / T(x,y)) = x * (y / x). [para(4330(a,1),4574(a,1,2))]. 4577 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4576(a,1),19(a,1)),flip(a)]. 4578 T((1 / (1 / (x \ y))) \ 1,y) = T(1 / (x \ y),T(y,x)). [para(3946(a,1),4517(a,2,2))]. 4579 T(T(x,(y \ 1) \ 1) \ x,z) = T(x \ T(x,y),z) \ 1. [para(4523(a,1),4039(a,1))]. 4580 (x * y) * ((y * x) / y) = (y * x) * x. [para(15(a,1),4572(a,1,2,2))]. 4581 x * (((y \ x) * y) / (y \ x)) = ((y \ x) * y) * y. [para(14(a,1),4580(a,1,1))]. 4582 ((x \ y) * x) * x = y * (y / (y / x)). [para(4349(a,1),4581(a,1,2)),flip(a)]. 4583 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(4298(a,1),4582(a,1,1,1))]. 4584 (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(1212(a,1),4343(a,1,2,1))]. 4585 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4493(a,1),4374(a,1,1))]. 4586 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(32(a,1),4585(a,1,1))]. 4587 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(4470(a,1),1268(a,1,1))]. 4588 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [para(4537(a,2),4449(a,1))]. 4589 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4588(a,1),4448(a,1,2))]. 4591 R(x,y / x,x) = R(x,x \ y,x). [hyper(18,a,4538,a,b,4539,a),flip(a)]. 4592 R(x,x \ y,x) * y = (x * (y / x)) * x. [para(4591(a,1),328(a,1,1))]. 4594 (L(x,y,L(x,y,x)) * T(y,x)) * L(x,y,x) = L(x,y,x) * T(y * L(x,y,x),x). [para(4587(a,1),4454(a,1,1))]. 4596 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3094(a,1),4428(a,1,1))]. 4597 (x * (y / x)) \ ((y / x) * y) = T(x \ y,y). [para(4509(a,2),4475(a,1))]. 4598 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [para(4510(a,1),968(a,1))]. 4599 T(1 / (x \ y),T(y,x)) = T(1 / (x \ y),y). [para(59(a,1),4578(a,1,1)),flip(a)]. 4601 T(x \ T(x,y),z) \ 1 = T(T(x,y) \ x,z). [para(2935(a,1),4579(a,1,1,1)),flip(a)]. 4602 1 / T(T(x,y) \ x,z) = T(x \ T(x,y),z). [para(4601(a,1),57(a,1,2))]. 4603 T(T(x,y) \ x,z) \ 1 = T(x \ T(x,y),z). [para(4602(a,1),3291(a,1)),flip(a)]. 4604 T(((x * y) * (x \ 1)) \ T((x * y) * (x \ 1),x),z) = T(R(y,x,x \ 1) \ ((x * y) * (x \ 1)),z) \ 1. [para(508(a,1),4603(a,1,1,1,1)),flip(a)]. 4605 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [para(4384(a,2),444(a,1))]. 4606 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(4383(a,2),4605(a,1,2))]. 4607 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(15(a,1),4399(a,1,1,2,2))]. 4608 R(x \ T(x,y),y,z) = x \ T(x,y). [para(4607(a,1),3189(a,1))]. 4609 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4608(a,1),3905(a,1,1))]. 4610 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(61(a,1),4609(a,1,2))]. 4611 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [para(4609(a,1),3921(a,1)),flip(a)]. 4613 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(105(a,1),4610(a,1,1,2))]. 4614 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(4613(a,1),57(a,1,2))]. 4615 (x * (y / x)) / y = y / ((x \ y) * x). [para(4614(a,2),4221(a,2))]. 4616 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4521(a,2),4615(a,1,1))]. 4617 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(4052(a,1),4616(a,1,1,1)),flip(a)]. 4618 L(x,y \ 1,(z * y) / z) = L(x,y \ 1,y). [para(4611(a,2),153(a,1))]. 4620 L(x,y \ 1,y * K(z,y)) = L(x,y \ 1,y). [para(4037(a,1),4618(a,1,3))]. 4621 L((x \ 1) \ y,x \ 1,x * K(z,x)) = x * y. [para(4620(a,2),323(a,1))]. 4622 K(x,y) * (z * T(z \ (y * z),u)) = (K(x,y) * T(y,u)) * z. [para(4621(a,1),3305(a,1,2,2,1,2))]. 4623 K(T(x,y),y) * (K(y,x) * z) = L(z,K(y,x),K(T(x,y),y)). [para(4432(a,1),4423(a,1,2))]. 4624 L(K(x,y) \ z,K(x,y),K(T(y,x),x)) = K(T(y,x),x) * z. [para(14(a,1),4623(a,1,2)),flip(a)]. 4625 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2981(a,1),4195(a,1,2))]. 4626 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [para(4625(a,1),3533(a,1))]. 4627 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(4176(a,1),4196(a,2,2))]. 4628 T(T(x,y) \ y,z) = T(x \ T(y,x),z). [hyper(441,a,4322,a)]. 4629 (T(x,y) * (y * x)) / T(x,y) = T(x,y * x) * T(y,x). [para(4344(a,2),4287(a,1))]. 4630 T(x,T(y,T(y,x) * (z \ 1))) = T(x,T(y,z \ T(y,x))). [para(4366(a,1),4283(a,1))]. 4631 K(x,T(((y \ 1) * z) \ z,(1 / y) * z)) = K(x,T((1 / y) * z,y) \ z). [para(4370(a,1),3613(a,1,2)),flip(a)]. 4632 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [para(4380(a,2),4177(a,1))]. 4633 ((x * (y / x)) / T(x,z)) * x = (y / T(x,z)) * T(x,x \ y). [para(4409(a,1),2299(a,1))]. 4634 x * T(y,z) != z * (z / (z / T(y,z))) | (y \ T(z,y)) * T(y,z) = x. [para(4583(a,1),20(a,1)),flip(a)]. 4635 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(279(a,1),4622(a,1,2)),flip(a)]. 4637 R(K(x,y),T(y,z),u) = K(x,y). [hyper(329,a,4635,a)]. 4638 L(x,T(y,z),K(u,y)) = x. [hyper(306,a,4635,a)]. 4639 L(x,y,K(z,y)) = x. [para(103(a,1),4638(a,1,2))]. 4640 K(x,y) / (T(y,z) \ 1) = K(x,y) * T(y,z). [para(4638(a,1),253(a,1,2))]. 4641 a(K(x,y),y,z) = 1. [hyper(34,a,4639,a)]. 4642 (K(x,y) * y) * z = K(x,y) * (y * z). [para(4639(a,1),89(a,1,2))]. 4643 L(x,y,T(y,z) \ y) = x. [para(3152(a,1),4639(a,1,3))]. 4644 L(x,T(y,z) \ y,y) = y * (y \ x). [para(4643(a,1),4076(a,1,2)),flip(a)]. 4645 R(K(x,y),y,z) = K(x,y). [para(103(a,1),4637(a,1,2))]. 4646 K(x,y) \ (z * (y * K(x,y))) = y * T(z,y * K(x,y)). [para(4645(a,1),3180(a,1,1))]. 4647 L(x,T(y,z) \ y,y) = x. [para(4644(a,2),14(a,1))]. 4649 L(x,K(y,z),z) = x. [para(4271(a,2),4647(a,1,2))]. 4650 (x * K(y,x)) * z = x * (K(y,x) * z). [para(4649(a,1),89(a,1,2))]. 4651 (x * (K(y,x) * z)) / z = x * K(y,x). [para(4649(a,1),117(a,1,2))]. 4652 x \ ((x * K(y,x)) * z) = K(y,x) * z. [para(4649(a,1),167(a,1,2,2))]. 4653 (x * K(y,x)) * z = K(y,x) * (x * z). [para(3159(a,1),4642(a,1,1))]. 4654 R(x,K(y,x),z) = x. [hyper(329,a,4650,a)]. 4655 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(4650(a,1),28(a,2,1)),flip(a)]. 4656 R(T(x,y),K(z,x),u) = T(x,y). [para(4654(a,1),42(a,2,1))]. 4657 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(4654(a,1),334(a,1,1,1)),flip(a)]. 4658 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(4654(a,1),336(a,1,1,1)),flip(a)]. 4661 R(T(x,((x * y) \ x) \ K(y,x)),K(z,x),u) = K(y,x) \ x. [para(4656(a,2),4036(a,1))]. 4662 (x * K(y,x)) * (x \ z) = K(y,x) * z. [para(14(a,1),4653(a,2,2))]. 4663 K(x,y) * (y * z) = y * (K(x,y) * z). [para(4653(a,1),4650(a,1))]. 4664 x * (K(y,x) * (x \ z)) = K(y,x) * z. [para(4662(a,1),4650(a,1)),flip(a)]. 4665 x \ (K(y,x) * z) = K(y,x) * (x \ z). [para(4662(a,1),4652(a,1,2))]. 4666 (x * (K(y,x) * z)) / (x * z) = K(y,x). [hyper(74,a,4663,a)]. 4669 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) = K(u,R(x,y,z)) * ((x * y) * z). [para(100(a,1),4663(a,1,2)),flip(a)]. 4671 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4663(a,1),308(a,1,1))]. 4675 L(x,K(y,z),T(z,u)) = x. [hyper(306,a,4657,a)]. 4676 T(x,y * K(x,y)) = T(x,y). [hyper(4437,a,4646,a),flip(a)]. 4678 T(L(L(x * K(y,x),y,x * K(y,x)),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(4676(a,1),4587(a,2,2))]. 4679 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(3166(a,1),4658(a,1,1))]. 4680 R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. [para(4679(a,1),329(a,1))]. 4681 R(K(x,y) \ y,K(z,y),u) = K(x,y) \ y. [para(4036(a,1),4661(a,1,1))]. 4682 (x * y) / (K(z,x) * y) = K(z,x) \ x. [para(4681(a,1),3304(a,1)),flip(a)]. 4683 (K(x,y) \ y) * (K(x,y) * z) = y * z. [para(4682(a,1),16(a,1,1))]. 4685 (K(x,y) \ 1) * (K(x,y) * z) = z. [hyper(4225,a,4683,a)]. 4686 K(T(x,y),y) \ z = K(y,x) * z. [hyper(4435,a,4685,a)]. 4687 L(x,K(y,z) \ 1,K(y,z)) = x. [hyper(2155,a,4685,a)]. 4688 (K(x,y) \ 1) \ z = K(x,y) * z. [hyper(68,a,4685,a)]. 4690 (K(x,y) \ 1) * (z * K(x,y)) = T(z,K(x,y)). [para(104(a,1),4685(a,1,2))]. 4692 L(x,K(y,z),K(T(z,y),y)) = x. [para(4420(a,1),4687(a,1,2))]. 4693 K(T(x,y),y) * z = K(y,x) \ z. [para(4692(a,1),4624(a,1)),flip(a)]. 4695 (K(x,y) \ 1) \ y = y * K(x,y). [para(4688(a,2),3159(a,1))]. 4696 x / (x * K(y,x)) = K(y,x) \ 1. [para(4695(a,1),57(a,1,2))]. 4697 (x / T(y,x)) * T(y,y \ x) = T(y * (x / y),y). [para(4633(a,1),4477(a,1))]. 4698 (x / T(y,x)) * T(y,y \ x) = y * (T(x,y) / y). [para(4697(a,2),1838(a,1))]. 4699 T(x,x \ T(y,x)) = T(x,x \ y). [hyper(17,a,4401,a,b,4698,a),flip(a)]. 4700 T(x,y) / T(y,y \ x) = y \ T(x,y). [para(4699(a,1),159(a,1,2))]. 4701 T(x,T(x,y) \ y) = T(x,x \ y). [para(4298(a,2),4699(a,1,2))]. 4702 T(x * y,x) / T(x,y) = x \ T(x * y,x). [para(13(a,1),4700(a,1,2,2))]. 4703 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4608(a,1),4223(a,1,1))]. 4704 (T(x,y) \ x) * (T(x,y) * z) = x * z. [para(4703(a,1),4198(a,1))]. 4705 (T(x,y) \ x) * z = x * (T(x,y) \ z). [para(4703(a,1),4199(a,1))]. 4706 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [para(4703(a,2),4279(a,2)),flip(a)]. 4708 T(x,T(y,x)) * (T(y,x) * z) = x * (y * z). [para(4704(a,1),4181(a,1,2)),flip(a)]. 4709 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [para(4704(a,1),4189(a,1,2)),flip(a)]. 4710 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4704(a,1),4278(a,1,2)),flip(a)]. 4711 T(x,y) * (x \ (T(y,x) * z)) = y * z. [para(4704(a,1),4279(a,2))]. 4715 x * T(x \ y,z) = z * (T(z,y / x) \ y). [para(4705(a,1),4393(a,1)),flip(a)]. 4716 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [para(4705(a,1),4598(a,1))]. 4717 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [para(4274(a,2),4706(a,1,1))]. 4718 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [para(4710(a,1),4337(a,1,2))]. 4719 ((x * y) / x) \ (T(x,y) * y) = T(x,y). [para(4709(a,2),32(a,2)),flip(a)]. 4720 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [para(4709(a,1),3934(a,1))]. 4721 ((x * y) / x) * T(x,y) = T(x,y) * y. [para(4719(a,1),14(a,1,2))]. 4722 x \ ((x * y) * T(x,y)) = T(T(x,y) * y,x). [para(4721(a,1),1171(a,1,1)),flip(a)]. 4723 x \ T(x * y,z) = z * (T(z,y / (x \ 1)) \ y). [para(4715(a,1),604(a,1)),flip(a)]. 4724 T(T(x,y) * y,x) / (x \ (x * y)) = R(x,y,y \ (x * y)). [para(4722(a,1),807(a,1,1))]. 4725 L(x,T(y,z),T(z,y)) = L(x,y,z). [para(4718(a,1),28(a,2)),flip(a)]. 4726 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(106(a,1),4725(a,1,2))]. 4727 (x * y) \ (T(x,y) * z) = L(T(y,x) \ z,y,x). [para(4725(a,1),4340(a,1)),flip(a)]. 4728 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [para(4720(a,1),90(a,1))]. 4729 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [para(12(a,1),4727(a,1,2)),flip(a)]. 4730 (x * (y / x)) \ (T(x,y / x) * z) = L((x \ y) \ z,y / x,x). [para(106(a,1),4727(a,2,1,1))]. 4731 T(T(x,y) * y,x) / y = R(x,y,y \ (x * y)). [para(13(a,1),4724(a,1,2))]. 4732 T(T(x,y) * y,x) / y = R(x,y,T(x,y)). [para(32(a,2),4731(a,2,3))]. 4733 R(x,y,T(x,y)) * y = T(T(x,y) * y,x). [para(4732(a,1),16(a,1,1))]. 4734 T(T(x,y) * y,x) = R(x,y,x) * y. [para(4438(a,1),4733(a,1,1)),flip(a)]. 4735 T(x * ((x * y) / x),x) = R(x,y,x) * y. [para(3937(a,1),4734(a,1,1))]. 4736 R(x,T(x \ y,z),x) * T(x \ y,z) = T(x * T(y / x,z),x). [para(3956(a,1),4734(a,1,1)),flip(a)]. 4737 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4710(a,1),4336(a,1,1))]. 4738 a(T(x,y),T(y,x),z) = a(x,y,z). [para(4737(a,1),24(a,2)),flip(a)]. 4739 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,x). [para(13(a,1),4535(a,2,2))]. 4740 L(x,y,T(x,y)) = L(x,y,x). [para(4739(a,1),4376(a,1)),flip(a)]. 4741 (x * (y / x)) \ (T(x,x \ y) * z) = L((x \ y) \ z,y / x,x). [para(4285(a,1),4730(a,1,2,1))]. 4743 x * (x * T(T(x,y) \ y,z)) = (x * T(x \ y,z)) * x. [para(15(a,1),4306(a,1,2,2,1,2))]. 4744 K(x \ 1,x) * T(y,x) = x * (T((x \ 1) \ 1,y) \ y). [para(2935(a,1),4319(a,1,2))]. 4745 T(x * K(y \ 1,y),y) = y * (T((y \ 1) \ 1,x) \ x). [para(4744(a,1),2972(a,2))]. 4746 ((T((x \ 1) \ 1,y) \ x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(4745(a,2),1019(a,2,2,1,2))]. 4747 T((1 / (1 / x)) \ y,(1 / x) \ 1) = T(1 / (1 / x),x \ y) \ y. [para(4373(a,1),2940(a,1)),flip(a)]. 4748 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4297(a,1),4402(a,1,1,2))]. 4749 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(104(a,1),4748(a,1,1))]. 4750 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [para(4749(a,2),4701(a,1))]. 4751 (x / y) * (((x / (x / y)) \ 1) \ 1) = (y \ x) * ((y \ 1) \ 1). [para(4569(a,1),3002(a,1))]. 4752 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4632(a,1),4617(a,1,2)),flip(a)]. 4753 ((x \ y) * x) / y = y / (x * (y / x)). [para(4519(a,1),4752(a,1,1))]. 4754 ((x \ y) * x) / y = x \ (y / (y / x)). [para(4753(a,2),4392(a,1))]. 4755 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [para(4754(a,1),4164(a,2))]. 4756 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4755(a,1),4116(a,2,2))]. 4757 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3310(a,1),4626(a,1,1)),flip(a)]. 4758 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4757(a,1),3531(a,1,2))]. 4759 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4758(a,1),182(a,1,1)),flip(a)]. 4760 T(1 / (1 / x),x \ y) \ y = T((1 / (1 / x)) \ y,x). [para(59(a,1),4747(a,1,2)),flip(a)]. 4761 T((1 / (1 / (x / y))) \ x,x / y) = T(1 / (1 / (x / y)),y) \ x. [para(59(a,1),4760(a,1,1,2)),flip(a)]. 4762 T((1 / (1 / (x / y))) \ x,x / y) = (1 / (1 / (y \ x))) \ x. [para(2868(a,1),4761(a,2,1))]. 4763 T(x * (1 / (1 / (x \ y))),x / y) = (1 / (1 / (y \ x))) \ x. [para(3653(a,1),4762(a,1,1))]. 4764 a((1 / (1 / (x \ y))) \ y,T(y / x,y * (1 / (1 / (y \ x)))),z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(4763(a,1),4738(a,1,1))]. 4765 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [para(4267(a,1),4717(a,1)),flip(a)]. 4766 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(4650(a,1),4655(a,1,2))]. 4767 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [para(4765(a,1),4627(a,1)),flip(a)]. 4768 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4711(a,1),4767(a,1,2)),flip(a)]. 4769 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [para(4768(a,2),153(a,1))]. 4771 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [para(4769(a,1),3800(a,1))]. 4772 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4771(a,1),3559(a,2,2))]. 4774 (x * T(T(x,x \ y) * (x \ y),z)) / y = (x / y) * T(x * (y / x),z). [para(871(a,1),4253(a,1,1,2,1))]. 4775 (x * T(x * (y / x),z)) / y = (x / y) * T(x * (y / x),z). [para(3955(a,1),4774(a,1,1,2,1))]. 4776 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(59(a,1),4606(a,2,1,2))]. 4777 (((x \ y) \ y) / y) \ (T(x \ y,x) \ y) = ((x \ y) \ y) * (x \ y). [para(57(a,1),4369(a,2,2))]. 4779 (((x \ y) \ y) / y) \ (T(x \ y,x) \ y) = x * (y / x). [para(4777(a,2),3968(a,1))]. 4780 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [para(4450(a,1),735(a,1))]. 4781 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2915(a,1),4780(a,1,1)),flip(a)]. 4782 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = u / (L(x,y,z) \ u). [para(4781(a,1),742(a,1,1))]. 4784 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4663(a,1),4671(a,1,2))]. 4785 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(4782(a,2),57(a,1))]. 4786 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [para(4784(a,1),4766(a,1))]. 4787 T(x,R(x * K(y,x),z,u)) = x. [para(4584(a,1),15(a,1))]. 4788 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [para(4772(a,2),4759(a,1))]. 4789 T((x \ 1) * (x * y),z) = (x \ 1) * (x * T(y,z)). [para(127(a,1),4788(a,1,1,2,2))]. 4790 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [para(4788(a,1),4099(a,1)),flip(a)]. 4792 T((x \ 1) * (x * y),z) != (x \ 1) * u | x * T(y,z) = u. [para(4789(a,2),19(a,1))]. 4793 ((x \ 1) \ 1) * ((x \ 1) * T(y,z)) = T(x * ((1 / x) * y),z). [para(2747(a,1),4789(a,1,1)),flip(a)]. 4794 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [para(14(a,1),4790(a,2,2))]. 4797 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4794(a,1),2746(a,1,2))]. 4798 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4797(a,1),4118(a,1,2)),flip(a)]. 4800 T(x * ((1 / x) * y),z) = x * ((1 / x) * T(y,z)). [para(4793(a,1),2747(a,1))]. 4802 T(x * ((1 / x) * y),y * (z \ 1)) = x * ((1 / x) * T(y,z \ y)). [para(1247(a,1),4800(a,2,2,2))]. 4804 T(x * ((1 / x) * y),y * (z \ 1)) = T(x * ((1 / x) * y),z \ y). [para(4802(a,2),4800(a,2)),flip(a)]. 4806 R(x,K(y \ 1,y),(1 / y) * z) = x. [para(4798(a,2),2921(a,1))]. 4808 R(x,K(y \ 1,y),z) = x. [para(14(a,1),4806(a,1,3))]. 4809 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4808(a,1),100(a,1,1)),flip(a)]. 4816 R(x,y,K(z \ 1,z)) = x. [para(4808(a,1),4086(a,1)),flip(a)]. 4817 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4816(a,1),100(a,1,1)),flip(a)]. 4818 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4816(a,1),355(a,1,1))]. 4819 (x * y) \ ((x * (y * z)) * K(u \ 1,u)) = L(z,y,x) * K(u \ 1,u). [para(4816(a,1),358(a,1,1))]. 4820 R(x,y,K(z,z \ 1)) = x. [para(1361(a,1),4816(a,1,3))]. 4821 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4816(a,1),2968(a,1,1))]. 4822 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [para(4816(a,1),3836(a,1)),flip(a)]. 4823 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4820(a,1),100(a,1,1)),flip(a)]. 4826 R(x,y,1 / z) = R(x,y,z \ 1). [para(4820(a,1),2597(a,1)),flip(a)]. 4827 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4820(a,1),2999(a,1,1))]. 4828 T(x,y * K(z,z \ 1)) = T(x,y). [para(4820(a,1),3838(a,1))]. 4829 R(x,y,(z \ 1) \ 1) = R(x,y,z). [para(57(a,1),4826(a,1,3)),flip(a)]. 4830 R(x,y,1 / (1 / z)) = R(x,y,z). [para(59(a,1),4826(a,2,3))]. 4832 T(x,y * (1 / (1 / (y \ z)))) = T(x,z). [para(2011(a,1),4828(a,1,2))]. 4833 T(x,y * (1 / z)) = T(x,y * (z \ 1)). [para(2461(a,1),4828(a,1,2))]. 4834 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [para(2465(a,1),4828(a,1,2)),flip(a)]. 4835 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2473(a,1),4828(a,1,2))]. 4838 T(x,K(y \ 1,y) * z) = T(x,z). [para(2927(a,1),4828(a,1,2)),flip(a)]. 4839 T(x,K(y,y \ 1) * z) = T(x,z). [para(2932(a,2),4828(a,1,2))]. 4840 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(2936(a,1),4828(a,1,2))]. 4841 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(2992(a,1),4828(a,1,2))]. 4843 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(2994(a,1),4828(a,1,2)),flip(a)]. 4844 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(3264(a,1),4828(a,1,2))]. 4845 T(x,((1 / y) * z) * u) = T(x,((y \ 1) * z) * u). [para(3841(a,1),4828(a,1,2))]. 4846 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4829(a,1),100(a,1,1))]. 4847 R((x \ 1) / y,y,x) \ 1 = y * ((x \ 1) \ 1). [para(4829(a,1),349(a,1,1))]. 4848 R(x,1 / y,1 / (1 / y)) = R(x,y \ 1,y). [para(4830(a,2),2492(a,1))]. 4853 T(x,(1 / (1 / y)) * z) = T(x,y * z). [para(2709(a,1),4838(a,1,2))]. 4854 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(2710(a,1),4838(a,1,2))]. 4856 T(K(x,x \ 1) * y,T(z,y)) = T(K(x,x \ 1) * y,z). [para(4839(a,1),4281(a,1,2))]. 4857 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4834(a,1),4716(a,1,2,1))]. 4858 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3437(a,1),4840(a,2,2))]. 4859 T(((1 / x) * y) \ y,(x \ 1) * y) = T((1 / x) * y,x) \ y. [para(4840(a,1),4370(a,1))]. 4860 T(((x \ 1) * y) \ y,(1 / x) * y) = T((x \ 1) * y,x) \ y. [para(4840(a,2),4371(a,1))]. 4862 x / T(1 / y,y * x) = (1 / y) \ x. [para(4853(a,1),4387(a,1,2))]. 4863 T((x \ 1) * y,x \ y) = (x \ 1) * y. [para(4854(a,1),537(a,1))]. 4865 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(2762(a,2),4854(a,1,2,1))]. 4866 T(1 / x,x * y) = ((1 / x) \ y) \ y. [para(4862(a,1),59(a,1,1)),flip(a)]. 4867 K((x \ 1) * y,x \ y) = 1. [hyper(36,a,4863,a)]. 4868 R(((1 / x) \ y) \ y,x,y) = (x * y) \ y. [para(4866(a,1),483(a,1,1))]. 4869 R(x,1 / y,(1 / y) \ 1) = R(x,y \ 1,y). [para(4848(a,1),2475(a,1)),flip(a)]. 4871 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [para(4809(a,1),3763(a,1)),flip(a)]. 4872 (x * y) * K(z \ 1,z) = x * (K(z \ 1,z) * y). [para(4809(a,1),3820(a,1)),flip(a)]. 4873 K(x,x \ 1) * (y * (z * K(x \ 1,x))) = y * z. [hyper(2984,a,4817,a)]. 4875 (x * y) * z != x * (y * K(u \ 1,u)) | K(u \ 1,u) = z. [para(4817(a,1),19(a,1)),flip(a)]. 4877 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [para(4817(a,1),2914(a,2))]. 4878 K(x \ 1,x) * y != z * (u * K(x \ 1,x)) | z * u = y. [para(4817(a,1),2916(a,2)),flip(b)]. 4879 (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(4817(a,1),2971(a,1,1))]. 4880 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4817(a,1),3763(a,1,1))]. 4881 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4817(a,1),3833(a,1,1))]. 4882 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(1608(a,1),4818(a,1,2)),flip(a)]. 4883 (x \ (y * ((z \ 1) \ 1))) * K(z \ 1,z) = x \ (y * z). [para(2451(a,1),4818(a,1,2)),flip(a)]. 4884 K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). [hyper(2984,a,4882,a)]. 4885 K(x \ 1,x) * (y \ (1 / x)) = y \ (x \ 1). [para(4882(a,1),2914(a,2))]. 4886 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(3746(a,1),4882(a,1,2))]. 4887 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4884(a,1),4839(a,1,2))]. 4888 (x \ (1 / y)) * T(z,x \ (y \ 1)) = z * (x \ (1 / y)). [para(4887(a,1),104(a,1,2))]. 4889 T(x,x \ (y \ 1)) * (x \ (1 / y)) = x * ((1 / y) / x). [para(4887(a,1),3955(a,1,1))]. 4890 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [para(4821(a,2),2914(a,2)),flip(a)]. 4891 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [para(4821(a,1),3822(a,2))]. 4892 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(3847,a,4822,a),flip(a)]. 4893 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2914(a,2),4822(a,1,2))]. 4894 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4817(a,1),4822(a,1,2))]. 4895 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(306,a,4823,a)]. 4898 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(4823(a,1),4828(a,1,2))]. 4900 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [para(4895(a,1),2842(a,2))]. 4901 T(x,y * ((1 / z) \ u)) = T(x,y * ((z \ 1) \ u)). [para(2994(a,1),4898(a,1,2,2)),flip(a)]. 4902 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [para(4827(a,2),2932(a,2)),flip(a)]. 4903 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2723,a,4871,a)]. 4904 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(295,a,4871,a),flip(a)]. 4909 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4871(a,1),4821(a,1,2))]. 4910 K(x \ 1,x) * ((y \ 1) * z) = (y \ K(x \ 1,x)) * z. [para(4904(a,1),3748(a,1,1)),flip(a)]. 4911 L(x,y,z \ K(u \ 1,u)) = L(x,y,z \ 1). [para(4904(a,1),4121(a,1,3))]. 4912 K(x \ 1,x) * (y * (z \ 1)) = y * (z \ K(x \ 1,x)). [para(4904(a,1),4871(a,2,2))]. 4913 (x * (K(y \ 1,y) * z)) * u = (x * z) * (K(y \ 1,y) * u). [para(4872(a,1),4809(a,1,1))]. 4914 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2404(a,1),4873(a,1,2,2))]. 4915 K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). [para(2408(a,1),4873(a,1,2,2))]. 4916 K(x,x \ 1) * (y * (z / ((x \ 1) \ 1))) = y * (z / x). [para(2445(a,1),4873(a,1,2,2))]. 4917 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(2979(a,1),4873(a,1,2,2))]. 4918 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(2977(a,1),4873(a,1,2,2))]. 4919 K(x \ 1,x) * (y \ (z / (x \ 1))) = y \ (z / (1 / x)). [para(2974(a,1),4890(a,1,2)),flip(a)]. 4920 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [para(4890(a,1),3822(a,2))]. 4921 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [para(4890(a,1),3823(a,1))]. 4922 (((1 / x) \ y) \ z) * K(x \ 1,x) = ((x \ 1) \ y) \ z. [para(2695(a,1),4891(a,1,1)),flip(a)]. 4923 ((x / (1 / y)) \ z) * K(y \ 1,y) = (x / (y \ 1)) \ z. [para(3007(a,1),4891(a,1,1)),flip(a)]. 4924 ((1 / x) \ y) * K(z \ 1,z) = (K(z,z \ 1) / x) \ y. [para(3772(a,1),4891(a,1,1)),flip(a)]. 4925 T(x,y * (((z \ 1) \ 1) \ u)) = T(x,y * (z \ u)). [para(57(a,1),4901(a,1,2,2,1)),flip(a)]. 4926 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,K(y \ 1,y) * (z * ((1 / u) \ w))). [para(3748(a,1),4901(a,1,2)),flip(a)]. 4927 K(x,x \ 1) * (y \ 1) = y \ K(x,x \ 1). [para(12(a,1),4902(a,1,2)),flip(a)]. 4931 x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y). [para(2932(a,1),4902(a,1,2))]. 4933 (1 / x) \ K(y,y \ 1) = K(y,y \ 1) * x. [para(59(a,1),4927(a,1,2)),flip(a)]. 4934 (K(x \ 1,x) / y) \ 1 = K(x,x \ 1) * y. [para(4933(a,1),3846(a,2))]. 4935 (K(x \ 1,x) / y) * (K(x,x \ 1) * y) = 1. [para(4933(a,1),3850(a,1,2))]. 4936 ((K(x \ 1,x) / y) \ 1) \ 1 = y \ K(x \ 1,x). [para(4934(a,2),3794(a,1,1))]. 4937 (K(x \ 1,x) / (y * x)) * (y * ((x \ 1) \ 1)) = 1. [para(3002(a,1),4935(a,1,2))]. 4938 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [hyper(3842,a,4917,a),flip(a)]. 4940 K(x \ 1,x) * ((x * y) \ z) = (((x \ 1) \ 1) * y) \ z. [para(2615(a,1),4920(a,1,1)),flip(a)]. 4941 K(x \ 1,x) * ((y * x) \ z) = (y * ((x \ 1) \ 1)) \ z. [para(3002(a,1),4920(a,1,1)),flip(a)]. 4942 K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. [para(3871(a,1),4920(a,1,1)),flip(a)]. 4943 (x * y) \ ((x * (y * z)) * K(u,u \ 1)) = K(u,u \ 1) * L(z,y,x). [para(28(a,2),4931(a,2,2))]. 4944 L(x,y,K(z \ 1,z) / u) = L(x,y,u \ K(z \ 1,z)). [para(4936(a,1),3784(a,1,3)),flip(a)]. 4945 L(x,(y * ((z \ 1) \ 1)) / x,K(z \ 1,z) / (y * z)) = ((K(z \ 1,z) / (y * z)) * ((y * ((z \ 1) \ 1)) / x)) \ 1. [para(4937(a,1),93(a,2,2))]. 4946 L(x,K(y,y \ 1),z) = x. [hyper(306,a,4938,a)]. 4947 a(x,K(y,y \ 1),z) = 1. [hyper(34,a,4946,a)]. 4951 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,x). [para(4856(a,1),3860(a,2))]. 4952 x \ T(x * (y / x),z) = T(y,z) / x. [para(4857(a,1),4723(a,2))]. 4953 T(x * (y / x),z) = x * (T(y,z) / x). [para(4952(a,1),14(a,1,2)),flip(a)]. 4954 T(x * y,z) / y = y \ T(y * x,z). [para(15(a,1),4952(a,1,2,1,2)),flip(a)]. 4955 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(57(a,1),4952(a,1,2,1,2))]. 4957 x \ T(T(x,y) * y,z) = T(x * y,z) / x. [para(3937(a,2),4952(a,1,2,1))]. 4958 T(x,y) \ T(x * (y / x),z) = T(y,z) / T(x,y). [para(4576(a,1),4952(a,1,2,1))]. 4960 (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). [para(57(a,1),4953(a,1,1,2)),flip(a)]. 4961 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(106(a,1),4953(a,2,2,1))]. 4964 x * (T(R(y,x \ 1,x),z) / x) = T(x * (y * (1 / x)),z). [para(2490(a,1),4953(a,1,1,2)),flip(a)]. 4965 T(x * (y / x),K(y,z)) = x * (y / x). [para(3086(a,1),4953(a,2,2,1))]. 4966 T(x * (y / x),K(z,y)) = x * (y / x). [para(3158(a,1),4953(a,2,2,1))]. 4967 (x * T(x * (y / x),z)) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [para(4953(a,2),3972(a,1,1,2))]. 4968 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(4285(a,1),4953(a,2,2,1))]. 4969 T((x \ y) * x,z) / x = x \ T(y,z). [para(14(a,1),4954(a,2,2,1))]. 4970 (x \ T(x * y,z)) * x = T(y * x,z). [para(4954(a,1),16(a,1,1))]. 4971 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4954(a,1),106(a,1,1))]. 4972 (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,z). [para(4954(a,1),826(a,2))]. 4973 T(K(x,y),z * (x / z)) = K(x,y). [hyper(35,a,4965,a)]. 4974 T(K(x * y,z),y * x) = K(x * y,z). [para(15(a,1),4973(a,1,2,2))]. 4975 T(x * ((1 / (1 / y)) / x),K(z,y)) = x * ((1 / (1 / y)) / x). [para(3606(a,1),4966(a,1,2))]. 4977 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(4969(a,1),16(a,1,1)),flip(a)]. 4980 T((x * (y \ 1)) * y,z) = (T(x,z) * (y \ 1)) * y. [para(645(a,1),4970(a,1,1)),flip(a)]. 4981 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(4970(a,1),4464(a,1,2))]. 4982 K(x * y,z) * (y * x) = (y * x) * K(x * y,z). [para(4974(a,1),104(a,1,2)),flip(a)]. 4983 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4977(a,2),20(a,1))]. 4984 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(4977(a,1),104(a,1,2))]. 4985 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(106(a,1),4977(a,2,1,2))]. 4987 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(4977(a,2),84(a,1,1))]. 4990 K(x,x \ 1) * ((y \ x) * y) = T((y \ x) * y,x \ 1). [para(4977(a,2),4112(a,2))]. 4991 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(4961(a,1),104(a,1,2)),flip(a)]. 4993 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(106(a,1),4984(a,1,2,1,2)),flip(a)]. 4994 (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). [para(105(a,1),4984(a,1,2,1,2))]. 4995 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(4985(a,1),127(a,1,1,2))]. 4996 (1 / x) \ ((y \ (x \ 1)) * y) = (x \ K(y \ (1 / x),y)) * x. [para(4985(a,1),663(a,1,2))]. 4997 T(x,y) \ T(T(x,y) * ((z * (x / z)) / T(x,y)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(4522(a,1),4958(a,1,1))]. 4998 T((x \ y) * x,x) = (x \ y) * ((y * x) / y). [para(911(a,1),4960(a,1,2)),flip(a)]. 4999 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [para(4968(a,2),4953(a,2)),flip(a)]. 5000 ((1 / x) / y) * T(((1 / x) / y) \ z,u) = (x \ T(x * (z * y),u)) / y. [para(4972(a,1),1153(a,1,1)),flip(a)]. 5002 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(13(a,1),4991(a,2,2,2,1))]. 5003 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(123(a,2),4991(a,2,2,2,1))]. 5004 x * (y * T(y \ (x \ z),y)) = ((y \ (z / x)) * y) * x. [para(104(a,2),4993(a,2,2)),flip(a)]. 5005 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(125(a,2),4993(a,1,1,1,2))]. 5006 R((x \ (y / z)) * x,z,z \ 1) / (z \ 1) = z * ((x \ (z \ y)) * x). [para(4993(a,1),364(a,2))]. 5007 x * ((y \ (x \ (y * z))) * y) = y * (x * T(x \ z,y)). [para(4993(a,1),1822(a,1))]. 5008 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(13(a,1),4995(a,1,1,2,1,2))]. 5009 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [para(4999(a,1),4397(a,2))]. 5010 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [para(5008(a,1),4458(a,1))]. 5011 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(3065(a,1),4858(a,1,2))]. 5013 (x \ K(y \ 1,y)) * ((x \ 1) \ 1) = K(y \ 1,y). [hyper(121,a,4910,a),flip(a)]. 5014 (K(x \ 1,x) / y) * (z \ 1) = (1 / y) * (z \ K(x \ 1,x)). [hyper(3857,a,4912,a),flip(a)]. 5015 (x / y) * ((1 / y) \ 1) = x. [hyper(3037,a,4918,a)]. 5016 x * ((1 / y) \ 1) != z | z / y = x. [para(5015(a,1),20(a,1)),flip(a)]. 5017 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [hyper(2984,a,4922,a)]. 5018 a((x / (1 / y)) \ z,u,w) = a((x / (y \ 1)) \ z,u,w). [para(4923(a,1),4145(a,1,1)),flip(a)]. 5019 K(x \ 1,x) * (y * ((1 / z) \ u)) = y * ((K(x,x \ 1) / z) \ u). [para(4924(a,1),4877(a,2,2))]. 5020 T(x,y * (((((1 / z) \ 1) * K(u \ 1,u)) \ 1) \ w)) = T(x,y * ((K(u,u \ 1) / z) \ w)). [para(4924(a,2),4925(a,1,2,2,1,1))]. 5021 T(x,(y * ((z \ 1) \ 1)) \ u) = T(x,(y * z) \ u). [para(4941(a,1),4838(a,1,2))]. 5022 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(59(a,1),5021(a,1,2,1,2,1)),flip(a)]. 5023 L(x,y,K(z \ 1,z) / u) = L(x,y,u \ 1). [para(4944(a,2),4911(a,1))]. 5025 T((x \ y) * x,y \ 1) != z * ((x \ y) * x) | K(y,y \ 1) = z. [para(4990(a,1),20(a,1))]. 5026 (x * y) * T((x * y) \ z,y) = ((y \ (z / x)) * y) * x. [para(5004(a,1),592(a,2))]. 5027 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4846(a,1),20(a,1))]. 5028 x * (R(T(y,z),x \ 1,x) / x) = T(x * (y * (1 / x)),z). [para(42(a,2),4964(a,1,2,1))]. 5029 T(x * (y * (1 / x)),z) = x * (T(y,z) * (1 / x)). [para(2490(a,1),5028(a,1,2)),flip(a)]. 5030 T((x \ 1) * (y * (1 / (x \ 1))),z) = (x \ 1) * (T(y,z) * x). [para(57(a,1),5029(a,2,2,2))]. 5032 K(x,T((1 / y) * z,y) \ z) = K(x,T((y \ 1) * z,y) \ z). [para(4860(a,1),4631(a,1,2)),flip(a)]. 5033 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [para(4880(a,1),30(a,2,1)),flip(a)]. 5034 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [para(4881(a,1),3818(a,1))]. 5035 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(18,a,2977,a,b,4886,a)]. 5036 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [para(5035(a,2),3484(a,1))]. 5037 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(2716,a,4894,a(flip))]. 5038 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) = a(x,y,z * K(u \ 1,u)). [para(4909(a,1),3059(a,1))]. 5039 (x * y) * (K(z \ 1,z) * u) != w * u | x * (K(z \ 1,z) * y) = w. [para(4913(a,1),20(a,1))]. 5040 (T(x,y) \ (x * y)) * K(z,z \ 1) = T(K(z,z \ 1) * y,x). [para(4951(a,1),4827(a,1)),flip(a)]. 5041 T((x \ 1) * (y * x),z) = (x \ 1) * (T(y,z) * x). [para(57(a,1),5030(a,1,1,2,2))]. 5044 T((x \ 1) * (y * x),z) != (x \ 1) * u | T(y,z) * x = u. [para(5041(a,2),19(a,1))]. 5045 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [para(2964(a,1),5037(a,1,2,2)),flip(a)]. 5046 x / (y * K(z,z \ 1)) = K(z \ 1,z) * (x / y). [para(2932(a,1),5045(a,1,2))]. 5047 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [para(4286(a,1),5040(a,1,1)),flip(a)]. 5048 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [para(5047(a,2),2932(a,2)),flip(a)]. 5052 T(K(x,x \ 1) * y,z) != K(x,x \ 1) * u | T(y,z) = u. [para(5048(a,2),19(a,1))]. 5054 (T(x,x \ T(y,z)) / y) * T(y,z) = (x / y) * T(x * (y / x),z). [para(4967(a,1),4775(a,1))]. 5055 (x * y) \ (x * ((y * z) * K(u \ 1,u))) = L(z,y,x) * K(u \ 1,u). [para(4817(a,1),4819(a,1,2))]. 5056 (x * y) \ (x * ((y * z) * K(u,u \ 1))) = K(u,u \ 1) * L(z,y,x). [para(4823(a,1),4943(a,1,2))]. 5057 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [para(3877(a,1),5006(a,1,1))]. 5058 (x * y) \ (x * (y * (z * K(u \ 1,u)))) = L(z,y,x) * K(u \ 1,u). [para(4817(a,1),5055(a,1,2,2))]. 5059 (x * y) \ (x * (y * (z * K(u,u \ 1)))) = K(u,u \ 1) * L(z,y,x). [para(4823(a,1),5056(a,1,2,2))]. 5060 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [para(5058(a,1),28(a,2))]. 5062 L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). [para(5060(a,2),2914(a,2)),flip(a)]. 5063 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [para(2914(a,2),5062(a,1,1))]. 5064 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [para(5059(a,1),28(a,2))]. 5065 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(2060(a,1),5064(a,1,1)),flip(a)]. 5066 (x \ 1) * L(((1 / x) \ y) * K(x,x \ 1),z,u) = L(y * x,z,u) / x. [para(5064(a,2),2733(a,1,2))]. 5067 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [para(5064(a,2),2932(a,1))]. 5069 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [para(5065(a,1),1654(a,1)),flip(a)]. 5070 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(105(a,1),5069(a,2,1))]. 5071 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(68,a,5070,a)]. 5072 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [para(5071(a,1),1446(a,2))]. 5073 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2133,a,5072,a)]. 5074 L(x,y,z) / x = x \ L(x,y,z). [hyper(74,a,5073,a)]. 5075 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(68,a,5073,a)]. 5077 R(x \ L(x,y,z),x,u) = (L(x,y,z) * u) / (x * u). [para(5073(a,1),30(a,2,1,1))]. 5078 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(5075(a,1),284(a,1,2,1)),flip(a)]. 5079 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1356(a,1),5067(a,1,1)),flip(a)]. 5080 L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(1986(a,1),5067(a,2,2))]. 5081 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(5079(a,1),3805(a,1,1))]. 5082 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [para(5078(a,1),871(a,1,2))]. 5083 ((1 / x) / y) * T(((1 / x) / y) \ (y \ 1),z) = (x \ T(x * K(y \ 1,y),z)) / y. [para(152(a,2),5000(a,2,1,2,1,2))]. 5084 (x \ 1) * L((x \ 1) \ y,z,u) = L(y * x,z,u) / x. [para(2994(a,1),5066(a,1,2,1))]. 5085 L(x * y,z,u) / y = y \ L(y * x,z,u). [para(5084(a,1),684(a,1))]. 5086 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(5085(a,1),16(a,1,1))]. 5087 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [para(16(a,1),5085(a,1,1,1)),flip(a)]. 5088 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(14(a,1),5086(a,1,1,2,1)),flip(a)]. 5089 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(5087(a,1),14(a,1,2)),flip(a)]. 5090 L(T((x \ y) * x,z),u,w) = T((x \ L(y,u,w)) * x,z). [para(5088(a,1),40(a,2,1))]. 5091 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(323(a,1),5088(a,2,1,2))]. 5092 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(316(a,1),5088(a,2,1,2))]. 5093 L(x * (y / x),y \ 1,y) = x * ((1 / (1 / y)) / x). [para(1399(a,1),5089(a,2,2,1))]. 5094 T(x * ((1 / (1 / y)) / x),K(z,y)) = L(x * (y / x),y \ 1,y). [para(5093(a,2),4975(a,2))]. 5095 L((x \ ((y \ 1) \ (y \ z))) * x,y \ 1,y) = (x \ z) * x. [para(14(a,1),5091(a,2,1,2))]. 5096 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [para(5092(a,1),4756(a,1))]. 5097 x * (y \ (x / (x / y))) = (y \ (1 \ x)) * y. [para(12(a,1),5096(a,1,1,2,2)),flip(a)]. 5098 x * (y \ (x / (x / y))) = (y \ x) * y. [para(48(a,1),5097(a,2,1,2))]. 5099 x \ (y / (y / x)) = K(x \ y,x). [hyper(17,a,185,a,b,5098,a)]. 5100 x / (x / y) = y * K(y \ x,y). [para(5099(a,1),14(a,1,2)),flip(a)]. 5103 (x / y) \ (y \ x) = K(y \ x,y). [para(5099(a,1),4015(a,2))]. 5104 T(K(x \ y,x),y) = K(x \ y,x). [para(5099(a,1),4219(a,1,1))]. 5105 x / (y * (x / y)) = K(y \ x,y). [para(5099(a,1),4392(a,2))]. 5106 ((x \ y) * x) / y = K(x \ y,x). [para(5099(a,1),4754(a,2))]. 5107 (1 / x) * ((y \ x) * y) = K(y \ x,y). [para(5099(a,1),4755(a,2))]. 5108 (x * y) / ((x * y) / x) = x * K(y,x). [para(13(a,1),5100(a,2,2,1))]. 5109 (x * K(x \ y,x)) * (y / x) = y. [para(5100(a,1),16(a,1,1))]. 5111 (x \ y) * K((x \ y) \ y,x \ y) = y / x. [para(57(a,1),5100(a,1,2)),flip(a)]. 5112 (x * K(x \ y,x)) \ y = y / x. [para(5100(a,1),59(a,1,1))]. 5113 (x * y) * K((x * y) \ y,x * y) = y / R(1 / x,x,y). [para(125(a,2),5100(a,1,2)),flip(a)]. 5114 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K((y \ 1) * x,y). [para(360(a,1),5100(a,2,2,1))]. 5115 R(x * K(x \ y,x),z,u) * (y / x) = (y / x) * R(x,z,u). [para(5100(a,1),417(a,1,1,1))]. 5117 x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). [para(5100(a,2),3437(a,1)),flip(a)]. 5118 ((x / y) / x) \ T(x / y,(x / y) \ x) = (x / y) * (y * K(y \ x,y)). [para(5100(a,1),4248(a,2,2))]. 5119 T(x,y) * K(T(x,y) \ y,T(x,y)) = y / (T(y,x) / x). [para(4330(a,2),5100(a,1,2)),flip(a)]. 5120 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4501(a,1),5100(a,2,2))]. 5121 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(5100(a,1),4540(a,1,1))]. 5122 (x * ((x \ y) * x)) / y = x * K(x \ y,x). [para(5100(a,1),4544(a,2))]. 5123 (x / y) * (y * K(y \ x,y)) = (y \ x) * y. [para(5100(a,1),4568(a,1,2))]. 5124 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(5100(a,2),4650(a,1,1))]. 5127 (x / y) * K(y \ x,y) = y \ x. [para(5103(a,1),14(a,1,2))]. 5129 T(x,K(y \ x,y)) = x. [hyper(35,a,5104,a)]. 5130 T(x * y,K(y,x)) = x * y. [para(13(a,1),5129(a,1,2,1))]. 5131 K(x,y) \ (x * y) = y * x. [para(5130(a,1),191(a,2))]. 5132 K(x,y) = (x * y) / (y * x). [para(5130(a,1),192(a,1,2)),flip(a)]. 5133 (((x \ y) * x) \ y) \ y = (x \ y) * x. [para(5130(a,1),277(a,1)),flip(a)]. 5134 K(x,y) * (y * x) = x * y. [para(5131(a,1),14(a,1,2))]. 5135 x * (y * z) != z * y | K(z,y) = x. [para(5131(a,1),72(a,1,2)),flip(b)]. 5136 K(x,y) * (y * x) = (x * y) * 1. [para(5131(a,1),168(a,1,2))]. 5137 x / ((y \ x) * y) = K(y,y \ x). [para(14(a,1),5132(a,2,1)),flip(a)]. 5138 K(x \ y,x) * y = (x \ y) * x. [para(5132(a,2),182(a,1,1))]. 5139 R(T(K(x,y),(y * x) * z),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(5132(a,2),599(a,1,1,1))]. 5140 ((x * y) * (K(x,y) / (x * y))) * (y * x) = T(x * y,(y * x) \ 1). [para(5132(a,2),3982(a,1,1,2,1))]. 5141 K(x,y) = T(y,x) \ y. [para(5132(a,2),4207(a,1))]. 5142 (x * y) \ T((x * y) * K(y,x),z) = T(y * x,z) / (x * y). [para(5132(a,2),4952(a,1,2,1,2))]. 5143 T(x,y) * K(y,x) = x. [para(5141(a,2),14(a,1,2))]. 5144 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(42(a,2),5141(a,2,1)),flip(a)]. 5145 T(x,y) = x / K(y,x). [para(5141(a,2),57(a,1,2)),flip(a)]. 5147 x * K(y,z) != z | T(z,y) = x. [para(5141(a,2),72(a,1,2)),flip(b)]. 5148 L(K(x,y),T(y,x),z) = (z * T(y,x)) \ (z * y). [para(5141(a,2),91(a,1,1))]. 5149 ((x \ y) \ y) * K(x \ y,x) = x. [para(5141(a,2),430(a,1,2))]. 5150 K(x,y) = y * (T(y,x) \ 1). [para(5141(a,2),884(a,2)),flip(a)]. 5151 T(x,y) \ 1 = x \ K(y,x). [para(5141(a,2),890(a,1,2)),flip(a)]. 5152 T(x,y) = (x * K(y,x)) \ (x * x). [para(5141(a,2),1217(a,1,1,2)),flip(a)]. 5153 K(x,y) = (T(y,x) \ 1) * T(y,y \ 1). [para(5141(a,2),3045(a,2)),flip(a)]. 5154 (1 / x) * K(y,x) = 1 / T(x,y). [para(5141(a,2),3129(a,1,2))]. 5155 K(x,y) = (y \ 1) \ (T(y,x) \ 1). [para(5141(a,2),3139(a,2)),flip(a)]. 5156 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(5141(a,2),3142(a,1,2))]. 5157 K(x,y) = y / T(y,x). [para(5141(a,2),3147(a,2)),flip(a)]. 5158 K(x,y) * T(y,x) = y. [para(5141(a,2),3148(a,1,1))]. 5159 T(x,y) = K(y,x) \ x. [para(5141(a,2),3149(a,1,1)),flip(a)]. 5160 K(x,y) / y = 1 / T(y,x). [para(5141(a,2),3155(a,1,1))]. 5161 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [para(5141(a,2),3140(a,2))]. 5162 K(x,y) * (y \ 1) = T(y,x) \ 1. [para(5141(a,2),3317(a,1,1))]. 5163 ((x * y) / x) * K(y,x) = y. [para(5141(a,2),3889(a,1,2))]. 5164 K(x,y) = ((y * x) / y) \ x. [para(5141(a,2),3896(a,2)),flip(a)]. 5165 K(x,y) * ((y * x) / y) = x. [para(5141(a,2),3897(a,1,1))]. 5166 K(T(x,y),y) = x \ T(x,y). [para(5141(a,2),3899(a,1))]. 5167 ((x * y) / x) \ x = y \ (x * K(y,x)). [para(5141(a,2),4215(a,1,2,2)),flip(a)]. 5168 x * T(x \ 1,y) = K(x \ 1,y). [para(5141(a,2),4266(a,1)),flip(a)]. 5169 K(x,y) = x \ T(x,y). [para(5141(a,2),4274(a,1))]. 5170 K(x,y) = T(y,T(x,y)) \ y. [para(4281(a,2),5141(a,2,1))]. 5171 T(x * K(y,x),y) = x. [para(5141(a,2),4300(a,1,1,2))]. 5172 (x * y) / x = y * K(x,y). [para(5141(a,2),4276(a,2,2))]. 5173 K(x \ (x / y),x) = K(y \ 1,x). [para(5141(a,2),4270(a,2))]. 5174 x * (K(x,y) * z) = T(x,y) * z. [para(5141(a,2),4278(a,1,2,1))]. 5175 T(x,y) * (x \ z) = K(x,y) * z. [para(5141(a,2),4279(a,2,1))]. 5177 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(5141(a,2),4273(a,1,2)),flip(a)]. 5178 K(x,y) * (T(y,x) * z) = y * z. [para(5141(a,2),4704(a,1,1))]. 5179 x * (T(x,y) \ z) = K(y,x) * z. [para(5141(a,2),4705(a,1,1)),flip(a)]. 5181 x * K(R(x,y,z),x) = x. [para(544(a,1),5143(a,1,1))]. 5182 L(x,y,(y * x) / y) * K(y * x,(y * x) / y) = (y * x) / y. [para(451(a,1),5143(a,1,1))]. 5183 (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T(((T(x,y) * K(y,x)) \ u) \ (K(y,x) \ u),z). [para(5143(a,1),2225(a,1,1,1)),flip(a)]. 5184 x * T(y,z) != y | K(z,y) = x. [para(5143(a,1),3186(a,1)),flip(a)]. 5185 T(x,y) * (K(y,x) * z) = x * z. [para(5143(a,1),4657(a,1,1)),flip(a)]. 5186 x * (y * K(x,y)) = T(x,y) * y. [para(5143(a,1),4710(a,1,2)),flip(a)]. 5189 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). [para(5145(a,2),1163(a,1,1)),flip(a)]. 5190 T(x,y) / T(T(x,z),y) = K(z,T(x,y)). [para(38(a,1),5157(a,2,2)),flip(a)]. 5191 L(x,y,z) / L(T(x,u),y,z) = K(u,L(x,y,z)). [para(40(a,2),5157(a,2,2)),flip(a)]. 5192 R(x,y,z) / R(T(x,u),y,z) = K(u,R(x,y,z)). [para(42(a,2),5157(a,2,2)),flip(a)]. 5193 ((x \ (y * T(x,z))) * x) / T(x,z) = K(z,x) * T((x / T(x,z)) \ y,x). [para(5157(a,2),1163(a,1,1)),flip(a)]. 5194 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(5159(a,2),2209(a,1,2,1))]. 5195 T(x,y) = (K(y,x) / x) \ 1. [para(5159(a,2),3593(a,2)),flip(a)]. 5196 x * (K(y,z) / z) = x * (1 / T(z,y)). [para(5159(a,2),3592(a,1,2,2)),flip(a)]. 5197 T(x,y) = 1 / (x \ K(y,x)). [para(5159(a,2),3623(a,2)),flip(a)]. 5198 T(x,(y \ x) \ 1) = T(x,x \ y). [para(5159(a,2),4410(a,2))]. 5200 T(x,y) = x * K(x,y). [para(5169(a,2),14(a,1,2)),flip(a)]. 5201 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(40(a,2),5169(a,2,2)),flip(a)]. 5202 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(42(a,2),5169(a,2,2)),flip(a)]. 5204 (x * y) \ (x * T(y,z)) = L(K(y,z),y,x). [para(5169(a,2),91(a,1,1)),flip(a)]. 5206 x \ L(T(x,y),y,x) = K(x,x * y). [para(459(a,2),5169(a,2,2)),flip(a)]. 5207 K(x,y) = T(x,y) * (x \ 1). [para(5169(a,2),646(a,2)),flip(a)]. 5208 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(5169(a,2),786(a,1,1))]. 5209 K(x,x \ 1) * K(x,y) = T(x,y) * (1 / x). [para(5169(a,2),1471(a,1,2))]. 5210 T(T(x,y) \ 1,K(x,z)) = T(x,y) \ 1. [para(5169(a,2),1896(a,1,2))]. 5211 (x \ 1) / K(x,y) = T(x,y) \ 1. [para(5169(a,2),1912(a,1,2))]. 5213 K(x,y) = T(x,y) / x. [para(5169(a,2),3217(a,2)),flip(a)]. 5214 T(x,y) = K(x,y) * x. [para(5169(a,2),3218(a,1,1)),flip(a)]. 5215 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [para(5169(a,2),3221(a,2)),flip(a)]. 5216 (x * K(y,x)) * y = y * x. [para(5169(a,2),3884(a,1,1,2))]. 5217 T(x,y) * K(y,T(x,y)) = x. [para(5169(a,2),3887(a,1,2))]. 5218 K(x,y) = y \ ((x * y) / x). [para(5169(a,2),3888(a,2)),flip(a)]. 5219 K(x,y) = ((x * y) / x) / y. [para(5169(a,2),3891(a,2)),flip(a)]. 5220 (x * y) / x = K(x,y) * y. [para(5169(a,2),3894(a,1,1)),flip(a)]. 5221 (x \ y) * K(x,x \ y) = y / x. [para(5169(a,2),3886(a,1,2))]. 5222 K(x,y) = ((x * y) / x) * (y \ 1). [para(5169(a,2),3895(a,2)),flip(a)]. 5223 T(x,y) \ (y * K(x,y)) = x \ y. [para(5169(a,2),3923(a,1,2,2))]. 5224 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [para(5169(a,2),3890(a,2))]. 5225 x \ (y * ((z * (y \ x)) / z)) = K(z,(x \ y) \ 1). [para(5169(a,2),3974(a,2))]. 5227 K(x,x \ y) * y = x * (y / x). [para(5169(a,2),4177(a,1,1))]. 5228 K(x,y) * (x * z) = T(x,y) * z. [para(5169(a,2),4179(a,1,1))]. 5230 (x / (x / y)) \ L(y,y \ x,y) = K(x / (x / y),x). [para(4540(a,1),5169(a,2,2)),flip(a)]. 5231 T(T(x * K(y,x),z),y) = T(x,z). [para(5171(a,1),38(a,1,1)),flip(a)]. 5233 T(x * K(y,x),z) * y = y * T(x,z). [para(5171(a,1),144(a,1,2,1)),flip(a)]. 5234 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(5171(a,1),163(a,1,1,2,1)),flip(a)]. 5235 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(5171(a,1),145(a,1,2,1)),flip(a)]. 5236 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(5171(a,1),146(a,1,2,1)),flip(a)]. 5237 T(x * K(y,x),(x * K(y,x)) * y) = L(x,y,x * K(y,x)). [para(5171(a,1),459(a,1,1)),flip(a)]. 5239 T(T(x * K(y,x),z),u) * y = y * T(T(x,z),u). [para(5171(a,1),280(a,1,2,1,1)),flip(a)]. 5240 R(T(x * K(y,x),z),u,w) * y = y * R(T(x,z),u,w). [para(5171(a,1),411(a,1,2,1,1)),flip(a)]. 5241 T(x * (y * K(x,y)),x) / y = R(x,y * K(x,y),x). [para(5171(a,1),804(a,1,2))]. 5242 T(x * K(y,x),R(x * K(y,x),z,u) * y) = L(x,y,R(x * K(y,x),z,u)). [para(5171(a,1),1059(a,1,1)),flip(a)]. 5243 T(x \ K(y,x \ 1),y) = x \ 1. [para(3437(a,1),5171(a,1,1))]. 5244 L(x * K(y,x),y,x * K(y,x)) = L(x * K(y,x),y,x). [para(5171(a,1),4740(a,1,3)),flip(a)]. 5245 ((x \ (y * K(z,y))) * x) * z = z * ((x \ y) * x). [para(5171(a,1),4984(a,1,2,1,2)),flip(a)]. 5246 K(x,x \ K(y,x)) = K(x,x \ 1). [hyper(3448,a,5200,a),flip(a)]. 5247 T(x,y) != x * z | K(x,y) = z. [para(5200(a,2),19(a,1))]. 5249 T(x,y) * K(T(x,y),z) = T(T(x,z),y). [para(5200(a,1),38(a,1))]. 5251 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(5200(a,2),101(a,2,1))]. 5252 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [para(5200(a,2),115(a,1,1))]. 5253 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(5200(a,2),329(a,2,2))]. 5254 (x \ 1) * L((x \ 1) \ K(x,y),z,u) = x \ L(T(x,y),z,u). [para(5200(a,2),684(a,2,2,1))]. 5255 x * (R(x,y,z) \ K(x,u)) = R(x,y,z) \ T(x,u). [para(5200(a,2),791(a,1,2)),flip(a)]. 5256 x * (L(x,y,z) \ K(x,u)) = L(x,y,z) \ T(x,u). [para(5200(a,2),853(a,1,2)),flip(a)]. 5258 T(x,T((y \ 1) \ 1,z)) = T(x,y * K(y,z)). [para(5200(a,1),2948(a,2,2))]. 5259 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(3073(a,1),5200(a,2,2)),flip(a)]. 5261 x \ K(x \ 1,y) = T(x \ 1,y). [para(5200(a,2),3077(a,1)),flip(a)]. 5262 (x * K(y,z)) \ (x * T(y,z)) = L(y,K(y,z),x). [para(5200(a,2),3097(a,1,2,2))]. 5263 x * K(x,(x * y) * (x \ 1)) = T(x,R(y,x,x \ 1)). [para(5200(a,1),4293(a,1))]. 5264 T(x,T(y,y \ x) \ 1) = T(x,y \ 1). [para(5200(a,2),4548(a,2))]. 5265 R(T(x,y),z,u) / R(x,z,u) = K(R(x,z,u),y). [para(42(a,2),5213(a,2,1)),flip(a)]. 5267 T(1 / x,y) * x = K(x \ 1,y). [para(5213(a,2),650(a,1)),flip(a)]. 5268 K(x,y) = (1 / x) * T(x,y). [para(5213(a,2),827(a,2)),flip(a)]. 5269 T(x,y) = (1 / x) \ K(x,y). [para(5213(a,2),828(a,1,2)),flip(a)]. 5270 T(1 / (1 / x),y) = K(x,y) / (1 / x). [para(5213(a,2),834(a,1,1)),flip(a)]. 5272 ((x * (1 / y)) / x) * y = K(x,y \ 1). [para(5213(a,2),4030(a,2))]. 5274 K((x \ y) * x,y \ 1) = K(y,y \ 1). [hyper(5025,a,5214,a),flip(a)]. 5276 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [para(5214(a,1),38(a,1))]. 5277 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [para(5214(a,1),40(a,2)),flip(a)]. 5278 x * (K(y,x) * y) = y * x. [para(5214(a,1),104(a,1,2))]. 5279 K(x / y,y) * (x / y) = y \ x. [para(5214(a,1),106(a,1))]. 5283 L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z). [para(5214(a,2),91(a,2,2))]. 5285 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(5214(a,2),139(a,1,1))]. 5286 T(x,y) / L(z,x / z,K(x,y)) = K(x,y) * (x / z). [para(5214(a,2),353(a,1,1))]. 5288 (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. [para(5214(a,2),329(a,2,2))]. 5289 T(x,y) * a(K(x,y),z,z \ x) = (K(x,y) * z) * (z \ x). [para(5214(a,2),447(a,1,1))]. 5290 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(5214(a,2),449(a,1,1))]. 5291 (1 / x) * L((1 / x) \ K(x,y),z,u) = L(T(x,y),z,u) / x. [para(5214(a,2),1057(a,2,1,1))]. 5292 (K(x,y) / R(x,z,u)) * x = T(x,y) / R(x,z,u). [para(5214(a,2),1281(a,1,1)),flip(a)]. 5293 K(x,x \ y) * x = T(x,y / x). [para(5214(a,1),4285(a,2)),flip(a)]. 5294 T(x,y) = (y * K(x,y)) * (y \ x). [para(5214(a,2),4662(a,2)),flip(a)]. 5295 K(x,y) * (y \ x) = y \ T(x,y). [para(5214(a,2),4665(a,1,2)),flip(a)]. 5296 K(R(x,y,z),x) = 1. [hyper(65,a,5181,a),flip(a)]. 5298 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(89(a,1),5134(a,1,2))]. 5299 (x * (y * x)) / (x * y) = x * K(y,x). [para(5134(a,1),4651(a,1,1,2))]. 5300 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(5150(a,2),90(a,1,2,2)),flip(a)]. 5301 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [para(105(a,1),5151(a,1,1))]. 5302 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(5151(a,1),1735(a,1,2,1))]. 5303 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(5151(a,2),3447(a,2,1))]. 5304 T(1 / (1 / x),y) = 1 / (K(y,x) / x). [para(5160(a,2),2865(a,1,2)),flip(a)]. 5305 K(x,y) \ (1 / T(y,x)) = 1 / y. [para(5160(a,1),3710(a,1,2))]. 5306 ((x * y) / x) * z != y | K(y,x) = z. [para(5163(a,1),19(a,1)),flip(a)]. 5308 L((x * y) / x,z,u) \ L(y,z,u) = K(L(y,z,u),x). [para(538(a,2),5164(a,2,1)),flip(a)]. 5310 K(x,y) = x * (((y * x) / y) \ 1). [para(5164(a,2),985(a,2)),flip(a)]. 5311 (x * T(x \ y,y)) \ y = K(y,x \ y). [para(1175(a,1),5164(a,2,1)),flip(a)]. 5312 (x \ T(x * y,y)) \ y = K(y,x * y). [para(3959(a,1),5164(a,2,1)),flip(a)]. 5315 K(L(x,y,z),z * y) * ((z * (y * x)) / (z * y)) = L(x,y,z). [para(89(a,1),5165(a,1,2,1))]. 5316 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(78(a,1),5165(a,1,2,1))]. 5317 K(x,x \ y) * (y / (y / x)) = x. [para(4349(a,1),5165(a,1,2))]. 5321 K(T(x,y),y) = K(x,y). [para(5166(a,2),5169(a,2)),flip(a)]. 5322 K(x / y,y) = K(y \ x,y). [para(106(a,1),5321(a,1,1)),flip(a)]. 5323 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(105(a,1),5321(a,1,1))]. 5324 K(T(x,x * y),y) = K(L(x,y,x),y). [para(461(a,1),5321(a,1,1))]. 5325 K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). [para(421(a,1),5321(a,1,1))]. 5326 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(508(a,1),5321(a,1,1)),flip(a)]. 5327 K((x * y) \ ((x * z) * y),x) = K(R(T(z,x * y),x,y),x). [para(703(a,1),5321(a,1,1)),flip(a)]. 5328 K(x \ (y * L(x,z,u)),x) = K((y / x) * L(x,z,u),x). [para(1037(a,1),5321(a,1,1))]. 5330 K(x,T(y,x)) = K(x,y). [para(5321(a,1),4005(a,1))]. 5331 K(x,y / x) = K(x,x \ y). [para(5321(a,1),4004(a,1)),flip(a)]. 5332 K(x,y) \ 1 = K(y,x). [para(5321(a,1),4420(a,1,1))]. 5333 K(x,y) * K(y,x) = 1. [para(5321(a,1),4425(a,1,1))]. 5334 K(x,y) \ x = x * K(y,x). [para(5321(a,1),4433(a,1,2)),flip(a)]. 5335 L(x,K(y,z),K(z,y)) = x. [para(5321(a,1),4692(a,1,3))]. 5336 K(x,y) \ z = K(y,x) * z. [para(5321(a,1),4686(a,1,1))]. 5337 K(x * K(y,x),y) = K(x,y). [para(5171(a,1),5321(a,1,1)),flip(a)]. 5338 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(40(a,2),5330(a,1,2))]. 5339 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(105(a,1),5330(a,1,2))]. 5340 K(x,T(y / x,z)) = K(x,T(x \ y,z)). [para(148(a,1),5330(a,1,2)),flip(a)]. 5341 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(150(a,1),5330(a,1,2)),flip(a)]. 5343 K(x,y * K(x,y)) = K(x,y). [para(5171(a,1),5330(a,1,2)),flip(a)]. 5344 1 / K(x,y) = K(y,x). [para(5332(a,1),57(a,1,2))]. 5345 x * K(y,z) != 1 | K(z,y) = x. [para(5332(a,1),72(a,1,2)),flip(b)]. 5346 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5332(a,1),1134(a,2,2,1))]. 5347 (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) / K(y,z). [para(5332(a,1),1141(a,1,1,2,2,1)),flip(a)]. 5348 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(5332(a,1),1558(a,2,1,2,1))]. 5351 (x * K(y,x)) \ x = K(x,y). [para(5332(a,1),3558(a,2))]. 5352 K(x,y) * (K(y,x) * z) = z. [para(5332(a,1),4685(a,1,1))]. 5353 x / (x * K(y,x)) = K(x,y). [para(5332(a,1),4696(a,2))]. 5354 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [para(5332(a,1),4690(a,1,1))]. 5355 K(x,y) * z != 1 | K(y,x) = z. [para(5333(a,1),19(a,1)),flip(a)]. 5356 1 \ (K(x,y) * (K(y,x) * z)) = L(z,K(y,x),K(x,y)). [para(5333(a,1),28(a,2,1)),flip(a)]. 5357 ((x * K(y,z)) * K(z,y)) / 1 = R(x,K(y,z),K(z,y)). [para(5333(a,1),30(a,2,2)),flip(a)]. 5358 K(x,y) * (y \ K(y,x)) = y \ 1. [para(5333(a,1),4665(a,1,2)),flip(a)]. 5359 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(5170(a,2),4276(a,2,2))]. 5360 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(4066,a,5172,a)]. 5361 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(21,a,5172,a)]. 5362 ((x * y) / x) / K(x,y) = y. [hyper(74,a,5172,a(flip))]. 5363 x / (x / y) = y * K(x / y,y). [para(16(a,1),5172(a,1,1))]. 5364 (x * y) / x != y * z | K(x,y) = z. [para(5172(a,2),19(a,1))]. 5365 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(100(a,1),5172(a,1,1))]. 5366 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(5172(a,1),101(a,1,1))]. 5367 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(5172(a,2),345(a,1,2))]. 5368 R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). [para(5172(a,1),346(a,1,1))]. 5369 T((x * y) / x,z) = T(y,z) * K(x,T(y,z)). [para(5172(a,1),290(a,1)),flip(a)]. 5370 T(x * K(y,x),x * y) = L(x,y,x). [para(5172(a,1),468(a,1,1))]. 5371 (x * (y * z)) / L(y,z * K(y,z),x) = x * ((y * z) / y). [para(5172(a,1),353(a,1,2,2))]. 5372 T(x * K(y * x,x),y) = R(x,y,x). [para(5172(a,1),505(a,2,1)),flip(a)]. 5373 T((x / y) * K(z,x / y),y) = (z * (y \ x)) / z. [para(5172(a,1),444(a,1,1))]. 5374 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(5172(a,1),538(a,1,1))]. 5375 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(5172(a,1),552(a,1,1))]. 5376 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(5172(a,2),81(a,1,2))]. 5377 (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(y \ (x / (y \ 1)),y). [para(666(a,1),5172(a,1,1))]. 5378 L(x * K(y,x),z \ y,z) = (z * ((z \ y) * x)) / y. [para(5172(a,1),572(a,1,1))]. 5379 T(x,y) / (y \ x) = y * K(x,y). [para(5172(a,1),911(a,2))]. 5380 T(x * K(y,x),x \ y) = (x \ y) \ T(y,x). [para(5172(a,1),914(a,1,1))]. 5381 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1024(a,1),5172(a,1,1))]. 5382 ((x * (y * x)) / x) / L(x,y,x) = y * K(x,y). [para(5172(a,1),1043(a,2))]. 5383 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(5172(a,1),1044(a,2,1)),flip(a)]. 5384 T(x * K(y,x),L(x,z,u) * y) = L(x,y,L(x,z,u)). [para(5172(a,1),1066(a,1,1))]. 5385 ((x * y) * T(y,z)) / (x * T(y,z)) = y * K(x * T(y,z),y). [para(1182(a,1),5172(a,1,1))]. 5386 x * T(x \ y,y) = y * K(x \ y,y). [para(5172(a,1),1175(a,1)),flip(a)]. 5387 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(5172(a,1),1253(a,2,1,2))]. 5388 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1280(a,1),5172(a,1,1))]. 5389 ((x * y) * R(T(x,y),z,u)) / (R(x,z,u) * y) = T(x,y) * K(R(x,z,u) * y,T(x,y)). [para(1477(a,1),5172(a,1,1))]. 5390 R(K(x,y / z),y / z,z) = (((x * (y / z)) / x) * z) / y. [para(5172(a,2),3178(a,1,1,1)),flip(a)]. 5391 x \ K(y,x \ 1) = (y * (x \ 1)) / y. [para(5172(a,2),3437(a,1)),flip(a)]. 5392 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [para(5172(a,2),3605(a,1)),flip(a)]. 5393 x \ (T(x,y) * y) = y * K(x,y). [para(5172(a,1),3938(a,2))]. 5394 x \ T(x * y,y) = y * K(x * y,y). [para(5172(a,1),3959(a,1)),flip(a)]. 5395 L(x,y,x * K(y,x)) = L(x,y,x). [para(5172(a,1),4460(a,1,3))]. 5396 T(x * K(y,x),y * x) = L(x,y,x). [para(5172(a,1),4461(a,1,1))]. 5397 T(x,y) * K(x * y,T(x,y)) = R(x,y,x). [para(5172(a,1),4361(a,1))]. 5398 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [para(5172(a,1),4629(a,1))]. 5399 ((x \ 1) * y) * K(((x \ 1) * y) \ y,(x \ 1) * y) = (x * (y / x)) / (((x \ 1) * y) \ y). [para(4632(a,1),5172(a,1,1)),flip(a)]. 5400 ((x * y) / x) * z = y * (K(x,y) * z). [para(5172(a,2),4650(a,1,1))]. 5401 (x \ y) * (x * K(y,x)) = T((x \ y) * x,x). [para(5172(a,1),4998(a,2,2)),flip(a)]. 5402 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(5172(a,1),5010(a,1,1,2))]. 5403 T(x,y) \ K(x,y) = x \ 1. [hyper(68,a,5207,a(flip))]. 5404 (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). [para(5207(a,2),32(a,2,2)),flip(a)]. 5405 K(x \ 1,y) * K(x \ 1,x) = T(x \ 1,y) * x. [para(5207(a,2),2451(a,1,1))]. 5406 K(x \ 1,x) * ((T(x,y) * (1 / x)) * z) = K(x,y) * z. [para(5207(a,2),3809(a,2,1))]. 5407 T(x,y * x) * (x \ 1) = K(x,x * y). [para(4462(a,2),5207(a,2,1)),flip(a)]. 5408 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5332(a,1),5207(a,2,2)),flip(a)]. 5409 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(18,a,1289,a,b,5216,a)]. 5410 T(x,y) * K(y * x,T(x,y)) = R(x,y,x). [hyper(18,a,515,a,b,5216,a)]. 5411 (x \ y) * K((x \ 1) \ 1,x \ y) = y / x. [hyper(18,a,3039,a(flip),b,5216,a)]. 5412 (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x,z * K(y,z),y). [para(5216(a,1),24(a,2,1,2)),flip(a)]. 5413 (x \ K(y,x \ 1)) * y = y * (x \ 1). [para(3437(a,1),5216(a,1,1))]. 5414 (x \ y) \ (y / x) = K(x,x \ y). [para(14(a,1),5218(a,2,2,1)),flip(a)]. 5416 ((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y). [para(5218(a,2),1019(a,1,2)),flip(a)]. 5417 x \ (y \ T(y * x,x)) = K(y * x,x). [para(3959(a,1),5218(a,2,2)),flip(a)]. 5418 K(x,y) \ ((x * y) / x) = y. [para(5219(a,2),59(a,1,1))]. 5419 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(639(a,1),5219(a,2,1)),flip(a)]. 5420 (x \ T(x * y,y)) / y = K(x * y,y). [para(3959(a,1),5219(a,2,1)),flip(a)]. 5422 (x * K(y,z)) \ (x * ((y * z) / y)) = L(z,K(y,z),x). [para(5220(a,2),28(a,2,2,2)),flip(a)]. 5423 K(x,y) / T(x,y) = 1 / x. [hyper(74,a,5268,a(flip))]. 5424 K(x,y) * T(K(y,x),z) = K(K(y,x),z). [para(5344(a,1),5268(a,2,1)),flip(a)]. 5425 (x * y) \ (y * (K(x,y) * (x * z))) = L(z,x,y * K(x,y)). [para(5278(a,1),4766(a,1,1))]. 5426 (x * (y / x)) \ y = K(x \ y,x). [para(5322(a,1),86(a,2))]. 5431 x \ (y * (x / y)) = K(y,y \ x). [para(5331(a,1),85(a,2))]. 5432 x * K(y,y \ x) = y * (x / y). [para(5331(a,1),186(a,1,2))]. 5434 K(x,x \ (y \ x)) = K(x,y \ 1). [para(5331(a,1),4549(a,1))]. 5435 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(5334(a,1),91(a,1,1))]. 5437 x \ (K(y,z) \ x) = T(K(z,y),x). [para(5336(a,2),32(a,2,2)),flip(a)]. 5438 x / (K(y,z) * x) = K(z,y). [para(5336(a,1),57(a,1,2))]. 5440 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5336(a,1),171(a,1,1))]. 5441 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [para(5336(a,1),455(a,1))]. 5442 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5336(a,1),221(a,1,1,3))]. 5443 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5336(a,1),535(a,1,2))]. 5444 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(5336(a,1),2128(a,1))]. 5445 (x \ K(y,z)) * K(K(z,y) * x,x \ K(y,z)) = 1 / (1 / (x \ K(y,z))). [para(5336(a,1),2573(a,1,2,1))]. 5446 K(x,y \ 1) \ y = y * K(y \ 1,x). [para(5336(a,2),2963(a,1))]. 5447 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [para(5336(a,2),3167(a,2)),flip(a)]. 5448 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [para(5336(a,1),3764(a,1))]. 5449 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(5336(a,1),3855(a,1,1))]. 5450 K(x,y) * ((z * K(y,x)) / z) = K(z,K(y,x)). [para(5336(a,1),5218(a,2)),flip(a)]. 5451 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(17,a,2114,a(flip),b,5352,a)]. 5452 K(x,y) * z != u | K(y,x) * u = z. [para(5352(a,1),19(a,1)),flip(a)]. 5453 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5352(a,1),100(a,1,2))]. 5454 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(5352(a,1),308(a,1,1)),flip(a)]. 5456 T(x,y) \ K(T(x,y),y) = x \ 1. [para(5321(a,2),5403(a,1,2))]. 5457 K(x,R(y,x,x \ 1)) \ ((x * y) * (x \ 1)) = R(y,x,x \ 1). [para(516(a,1),5418(a,1,2))]. 5458 K(x * y,x \ (1 / y)) / (((x * y) \ 1) \ 1) = 1 / (x * y). [para(3642(a,1),5423(a,1,2))]. 5459 T(x,y) / (T(x,y) * K(z,x)) = K(x,z). [para(3164(a,2),5438(a,1,2))]. 5460 x / (K(y,z) * ((x \ 1) \ 1)) = K(x \ 1,x) * K(z,y). [para(5438(a,1),3804(a,1,2)),flip(a)]. 5462 K(x \ y,x) * (x * (y / x)) = y. [para(5105(a,1),16(a,1,1))]. 5464 K(x \ 1,x) * K(y \ (1 / x),y) = (x \ 1) / (y * ((1 / x) / y)). [para(5105(a,1),3798(a,1,2))]. 5465 K(x \ y,x) * ((y \ 1) \ 1) = K(y,y \ 1) * ((x \ y) * x). [para(5106(a,1),3003(a,1,1))]. 5466 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [para(5106(a,1),4137(a,2))]. 5467 ((x \ y) * x) / y = T(K(x \ y,x),y). [para(5106(a,2),5104(a,2)),flip(a)]. 5468 (((x \ 1) \ 1) * K(((x \ 1) \ 1) \ y,x)) * (y / ((x \ 1) \ 1)) = y. [para(3596(a,1),5109(a,1,1,2))]. 5471 (x / (1 / y)) * K(y * x,y \ 1) = (1 / y) \ x. [para(4559(a,1),5127(a,1,2))]. 5472 K(x,y) * (y * x) = (x * y) * a(K(z,u),u,w). [para(4641(a,2),5136(a,2,2))]. 5473 (x * (y / x)) / y = K(x,x \ y). [para(5137(a,1),4615(a,2))]. 5474 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,y \ x). [para(5095(a,2),5137(a,1,2))]. 5475 (x * ((y \ z) * y)) * a(x,K(y \ z,y),z) = (x * K(y \ z,y)) * z. [para(5138(a,1),78(a,1,1,2))]. 5476 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(5138(a,1),2147(a,2,2))]. 5477 K((x \ 1) * y,x) * y = (x \ y) * x. [para(4554(a,2),5138(a,1,1))]. 5478 (T(x,y) \ 1) / K(y,x) = x \ 1. [para(5155(a,2),57(a,1,2))]. 5479 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = L(K(z,y),y \ 1,x). [para(5155(a,2),91(a,1,1)),flip(a)]. 5482 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(5168(a,1),610(a,2,2))]. 5483 K((x * y) \ x,x * y) = K(y \ 1,x * y). [para(5168(a,1),713(a,2))]. 5485 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [para(5168(a,1),592(a,1)),flip(a)]. 5486 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(5168(a,1),867(a,1,2)),flip(a)]. 5487 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [para(5168(a,1),947(a,1)),flip(a)]. 5488 (x * y) * T((x * y) \ y,z) = y * K(T(x,y) \ 1,z). [para(5168(a,1),1120(a,1,2)),flip(a)]. 5489 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(5168(a,1),1154(a,1,1))]. 5491 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(5168(a,1),1790(a,2,1))]. 5492 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(5168(a,1),1797(a,2,1))]. 5493 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * K(y \ 1,z). [para(5168(a,1),1877(a,2,2))]. 5494 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(5168(a,1),1954(a,1)),flip(a)]. 5495 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * K(y \ 1,y). [para(5168(a,1),2021(a,2,2))]. 5496 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(5168(a,1),2092(a,2,1,2))]. 5498 (x * y) * K(((x * y) \ x) \ 1,z) = x * T(y,z). [para(5173(a,1),950(a,1,2))]. 5499 T(x * y,z) / y = x * K((x \ (1 / y)) \ 1,z). [para(5173(a,1),954(a,2,2))]. 5500 (x / y) * K(((x / y) \ (1 / y)) \ 1,z) = T(x,z) / y. [para(5173(a,1),968(a,1,2))]. 5501 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [para(5173(a,1),1156(a,1)),flip(a)]. 5502 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * (z * T(z \ 1,u))). [para(5173(a,1),1772(a,1,2))]. 5504 x \ (T(x,y) * z) = K(x,y) * z. [hyper(68,a,5174,a)]. 5505 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(17,a,4394,a,b,5174,a),flip(a)]. 5506 K(x,y) * (x * z) = z * T(T(x,z),y). [hyper(17,a,888,a,b,5174,a)]. 5507 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(17,a,874,a,b,5174,a)]. 5508 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(17,a,4527,a(flip),b,5174,a)]. 5509 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(17,a,4525,a(flip),b,5174,a)]. 5510 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(5174(a,1),24(a,2,2,1)),flip(a)]. 5512 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2114(a,1),5174(a,1,2))]. 5513 (K(x,y) * z) / (x \ z) = T(x,y). [hyper(74,a,5175,a)]. 5514 T(x,y) \ (K(x,y) * z) = x \ z. [hyper(68,a,5175,a)]. 5515 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(28(a,2),5175(a,1,2)),flip(a)]. 5519 (x * y) \ (y * (K(x,y) * z)) = L(x \ z,T(x,y),y). [para(5175(a,1),138(a,1,2,2))]. 5520 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [para(5175(a,1),284(a,2))]. 5521 K(x,y) * (T(x,y) \ z) = x \ z. [para(5175(a,1),877(a,1))]. 5522 K(x \ y,z) * K(x \ y,y \ x) = T(x \ y,z) * (1 / (x \ y)). [para(1991(a,1),5175(a,1,2)),flip(a)]. 5523 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [para(5175(a,2),3095(a,2)),flip(a)]. 5524 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [para(5175(a,1),5078(a,1)),flip(a)]. 5525 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(5169(a,2),5175(a,1,2)),flip(a)]. 5526 x * (K(x,y) * (x \ z)) = K(x,y) * z. [para(5175(a,1),5174(a,2))]. 5527 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(427,a,5178,a)]. 5528 (x * y) / (T(x,z) * y) = K(z,x). [hyper(74,a,5178,a)]. 5532 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(5200(a,2),5178(a,1,2))]. 5534 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(17,a,4664,a,b,5179,a),flip(a)]. 5535 T(x,y) \ (x * z) = K(y,x) * z. [hyper(17,a,4663,a(flip),b,5179,a)]. 5536 x * (T(x,y) \ K(x,z)) = K(x,z) * K(y,x). [para(5179(a,2),2114(a,2)),flip(a)]. 5537 (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,x / T(y,x)) * z. [para(4328(a,1),5179(a,1,2,1))]. 5538 x * (K(y,x) * (T(x,z) \ u)) = K(y,x) * (K(z,x) * u). [para(5179(a,1),4663(a,1,2)),flip(a)]. 5539 K(x,y) * (x / y) = x / T(y,x). [hyper(4577,a,5185,a),flip(a)]. 5540 K(x,y) * (x / y) = T(x,y) / y. [hyper(4575,a,5185,a),flip(a)]. 5541 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(945,a,5185,a)]. 5542 T(x,y) * z != x * u | K(y,x) * u = z. [para(5185(a,1),19(a,1)),flip(a)]. 5545 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(5186(a,1),30(a,2,2)),flip(a)]. 5546 T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(5198(a,1),3057(a,1,1))]. 5547 K(x,y) = (T(x,y) \ 1) \ (x \ 1). [para(5211(a,1),59(a,1,1)),flip(a)]. 5549 R((x \ y) / z,z,K(x,x \ y)) = (y / x) / (z * K(x,x \ y)). [para(5221(a,1),101(a,2,1))]. 5550 K(x,x \ y) / (y / x) = 1 / (x \ y). [para(5221(a,1),3434(a,1,2))]. 5551 (1 / (x \ y)) * (y / x) = K(x,x \ y). [para(5221(a,1),3436(a,1,2))]. 5552 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(5221(a,1),4650(a,1,1)),flip(a)]. 5553 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(5221(a,1),4653(a,1,1)),flip(a)]. 5554 (x / y) * ((y \ x) \ z) = K(y,y \ x) * z. [para(5221(a,1),4662(a,1,1))]. 5555 T(x \ y,R(y / x,z,u)) = x \ y. [para(5221(a,1),4787(a,1,2,1))]. 5558 ((x * R(y / z,z,y \ 1)) / x) * (z * (y \ 1)) = K(x,R(y / z,z,y \ 1)). [para(349(a,1),5222(a,2,2)),flip(a)]. 5559 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(1175(a,1),5222(a,2,1)),flip(a)]. 5560 T(x,y * x) \ ((y * x) * K(x,y * x)) = T(y,x). [para(5223(a,2),32(a,2)),flip(a)]. 5561 T(T(x,y),z) \ (y * K(T(x,z),y)) = T(x,z) \ y. [para(38(a,1),5223(a,1,1))]. 5562 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = L(z,y,K(x,x \ y)). [para(5227(a,1),28(a,2,1)),flip(a)]. 5563 (x * K(y,y \ z)) * z != u * (y * (z / y)) | R(x,K(y,y \ z),z) = u. [para(5227(a,1),329(a,2,2))]. 5564 R(T(K(x,x \ y),z),y,y \ z) = z \ ((x * (y / x)) * (y \ z)). [para(5227(a,1),620(a,1,2,1)),flip(a)]. 5565 K(x,(x \ 1) * y) * y = x * (y / x). [para(4563(a,2),5227(a,1,1))]. 5566 K(x,y) * ((x \ 1) \ y) = x * (((x \ 1) \ y) / x). [para(4564(a,1),5227(a,1,1))]. 5568 ((T(x,y) * z) * u) / ((x * z) * u) = R(K(x,y),x * z,u). [para(5228(a,1),30(a,2,1,1)),flip(a)]. 5570 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(145(a,1),5228(a,1,2))]. 5571 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(146(a,1),5228(a,1,2))]. 5572 K(x,y) * (x * z) = z * T(z \ (x * z),y). [para(5228(a,2),279(a,2)),flip(a)]. 5574 K(x,y) * (x * z) = x * (K(x,y) * z). [para(5228(a,2),5174(a,2)),flip(a)]. 5575 K(x,y) * (K(z,x) * u) = T(x,y) * (T(x,z) \ u). [para(5179(a,1),5228(a,1,2))]. 5576 T(x \ K(y,x \ 1),z) * y = y * T(x \ 1,z). [para(5243(a,1),144(a,1,2,1)),flip(a)]. 5577 (x * T(x \ (K((x / y) \ 1,z) * y),u)) / y = (x / y) * T(T((x / y) \ 1,z),u). [para(5261(a,1),1153(a,2,2,1))]. 5578 K(x \ 1,(1 / x) \ y) = (((1 / x) \ y) \ y) * x. [para(105(a,1),5267(a,1,1)),flip(a)]. 5579 K(x \ 1,x) * K(x \ 1,y) = T(x \ 1,y) * x. [para(5267(a,1),3456(a,1,2))]. 5581 (x \ y) * T((x \ y) \ T(y,x),z) = T(x * K(y,x),z) * (x \ y). [para(5294(a,2),279(a,1,2,1,2))]. 5582 K(x,y) = (y \ T(x,y)) / (y \ x). [hyper(74,a,5295,a),flip(a)]. 5583 K(x,y * K(x,y)) \ (1 / y) = 1 / (y * K(x,y)). [para(5171(a,1),5305(a,1,2,2))]. 5584 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(68,a,5310,a(flip)),flip(a)]. 5585 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(5310(a,2),789(a,2,2))]. 5589 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(74,a,5358,a)]. 5590 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(17,a,5352,a,b,5358,a),flip(a)]. 5593 T(x * y,y) / T(x,y) = y * K(x * y,y). [para(32(a,2),5379(a,1,2))]. 5594 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y * K(x,y),x). [para(5393(a,1),5100(a,2,2,1))]. 5595 (x \ y) * K(x,x \ y) = (y / x) * 1. [para(5414(a,1),168(a,1,2))]. 5596 (x * (y / x)) * K(x \ y,x) = y. [para(5426(a,1),14(a,1,2))]. 5597 T(x * (y / x),z) \ T(y,z) = K(x \ T(y,z),x). [para(4953(a,2),5426(a,1,1))]. 5598 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [para(5431(a,1),4046(a,2))]. 5599 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [para(4953(a,2),5431(a,1,2))]. 5600 x * (y / x) != y * z | K(x,x \ y) = z. [para(5432(a,1),19(a,1))]. 5601 L(K(x,x \ y) \ z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5432(a,1),91(a,2,1))]. 5602 R(x,x \ y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). [para(5432(a,1),355(a,1,2))]. 5603 (x \ 1) * (y * K(x,x \ y)) = L(y,x \ 1,x) / x. [para(5432(a,2),2152(a,1,2))]. 5604 x * (K(x \ 1,x) * K(y,y \ (1 / (1 / x)))) = y * ((1 / (1 / x)) / y). [para(5432(a,1),2720(a,2))]. 5605 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,x * y). [para(4566(a,1),5432(a,1,2)),flip(a)]. 5606 T(x,y) * (K(y,x) * K(z,z \ x)) = z * (x / z). [para(5432(a,1),5185(a,2))]. 5607 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(5434(a,1),5227(a,1,1))]. 5608 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5437(a,1),1098(a,1,2,2,1))]. 5609 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5437(a,1),1293(a,1,2,2,1))]. 5610 ((x * (y / x)) \ T((x * (y / x)) * K(x \ y,x),z)) * (x * (y / x)) = T(y,z). [para(5462(a,1),4970(a,2,1))]. 5611 (T(1 / x,y) \ 1) / K(y,1 / x) = x. [para(5478(a,2),59(a,1))]. 5612 x \ (K(x,y) * z) = K(x,y) * (x \ z). [para(5175(a,1),5504(a,1,2))]. 5613 T(x,y) \ (y \ T(x,y)) = x \ (y \ x). [para(5295(a,1),5514(a,1,2))]. 5614 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(74,a,5521,a)]. 5615 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5521(a,1),19(a,1))]. 5620 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(42(a,2),5528(a,1,2,1))]. 5622 K(x,y) * ((y \ z) * u) != (T(y,x) \ z) * w | L(u,y \ z,K(x,y)) = w. [para(5534(a,1),306(a,1,1)),flip(a)]. 5624 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(5169(a,2),5534(a,1,2)),flip(a)]. 5625 K(x,y) * (T(y,x) \ z) = T(T(y,x),x) \ z. [para(5330(a,1),5534(a,1,1))]. 5626 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5539(a,1),89(a,1,1))]. 5627 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5539(a,1),119(a,1,2,1))]. 5628 (x \ K(y,x)) \ (x \ 1) = K(x,y). [para(5151(a,1),5547(a,2,1)),flip(a)]. 5629 (x \ T(x * y,x)) / y = K(x * y,x). [para(13(a,1),5582(a,2,2)),flip(a)]. 5630 (x \ y) \ K(x \ y,x) = (y / x) \ 1. [para(14(a,1),5584(a,1,1,1)),flip(a)]. 5632 ((x * (1 / y)) / x) \ 1 = (1 / y) \ K(y \ 1,x). [para(3073(a,1),5584(a,2,2))]. 5633 (x / (x / y)) \ 1 = y \ K(y,y \ x). [para(4349(a,1),5584(a,1,1))]. 5634 (x * K(y,x)) \ 1 = x \ K(x,y). [para(5172(a,1),5584(a,1,1))]. 5635 (x \ K(x,y)) * L(z,x \ 1,K(x,y)) = K(x,y) * ((x \ 1) * z). [para(5590(a,1),89(a,1,1))]. 5636 (x \ 1) * K(x,y) = x \ K(x,y). [para(5590(a,1),1816(a,1)),flip(a)]. 5637 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(40(a,2),5614(a,1,2,1))]. 5638 1 / (x \ K(x,y)) = x * K(y,x). [para(5634(a,1),57(a,1,2))]. 5639 T(x * K(y,x),z) * (x \ K(x,y)) = K(x * K(y,x),z). [para(5634(a,1),5207(a,2,2)),flip(a)]. 5641 ((x * (y * x)) / x) / L(x,y,x) != y * z | K(L(x,y,x),y) = z. [para(4445(a,2),5364(a,1,1))]. 5643 L(x,y * K(x * y,y),x) = L(x,R(y,x,y),x). [para(5372(a,1),4530(a,1,2)),flip(a)]. 5644 T(x,x * y) * K(y,x) = L(x,y,x). [para(5509(a,1),3164(a,2))]. 5645 K(x,y) * (T(y,y * x) * z) = L(y,x,y) * z. [para(5509(a,1),4635(a,1,1)),flip(a)]. 5646 K(x,x * y) * K(y,x) = x \ L(x,y,x). [para(5644(a,1),5504(a,1,2)),flip(a)]. 5647 (1 / x) \ K(y \ x,y) = (y \ x) * y. [hyper(68,a,5107,a)]. 5648 K(x \ y,x) \ (((1 / y) * (x \ y)) * x) = a(1 / y,x \ y,x). [para(5107(a,1),24(a,2,1)),flip(a)]. 5649 ((1 / x) * (y \ x)) \ K(y \ x,y) = L(y,y \ x,1 / x). [para(5107(a,1),28(a,2,2)),flip(a)]. 5650 x \ K(y \ (x \ 1),y) = (y \ (x \ 1)) * y. [para(5107(a,1),201(a,1,2))]. 5651 ((1 / x) * y) \ K(y \ x,y) = L(T(y \ x,y),y,1 / x). [para(5107(a,1),139(a,1,2))]. 5652 (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). [hyper(68,a,5153,a(flip))]. 5653 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [para(5153(a,2),2976(a,1,2))]. 5654 x * ((T(y,x) \ 1) * T(y,y \ 1)) = T(x,y). [para(5153(a,1),5200(a,2,2)),flip(a)]. 5655 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(5161(a,1),2354(a,2,1,2,1))]. 5656 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(5172(a,1),5167(a,1,1))]. 5657 T(x,y) / T(T(x,z \ x),y) = K(x / z,T(x,y)). [para(3940(a,1),5190(a,1,2,1))]. 5658 (K(x,y) / y) / (K(z,u) * (1 / T(y,x))) = K(u,z). [para(5196(a,1),5438(a,1,2))]. 5659 K(x,y) * (T(x,z) \ 1) = (T(x,z) \ 1) * K(x,y). [para(5210(a,1),104(a,1,2))]. 5660 K(x,y) * ((1 / x) \ z) = z * T(z \ ((1 / x) \ z),y). [para(5215(a,2),762(a,1,1))]. 5661 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(5215(a,2),1797(a,2,1))]. 5662 ((x * y) * ((z * (y \ 1)) / z)) / K(z,y \ 1) = R(x,y,(z * (y \ 1)) / z). [para(5224(a,1),30(a,2,2)),flip(a)]. 5663 K(x,y \ 1) / y = (x * (1 / y)) / x. [para(5224(a,1),562(a,1,1))]. 5664 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [para(5224(a,1),812(a,1)),flip(a)]. 5665 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(5224(a,1),1123(a,2,2))]. 5666 (x * ((1 / y) / x)) * y = K(x,(x * y) \ 1). [para(5224(a,1),1571(a,1)),flip(a)]. 5667 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(5224(a,1),1576(a,2,1))]. 5668 K(x * y,x \ 1) * y = (x * y) * (y / (x * y)). [para(5224(a,1),1577(a,1,1))]. 5672 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(18,a,5216,a,b,5233,a),flip(a)]. 5673 T(x * K(x * y,x),y) = R(x,y,x). [hyper(18,a,4305,a,b,5233,a)]. 5674 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(18,a,1289,a,b,5233,a)]. 5675 (x * K(x * y,x)) * y = y * R(x,y,x). [para(5673(a,1),104(a,1,2)),flip(a)]. 5677 T(x,T(y,z)) * T(y,z) = x * T(y * K(x,y),z). [para(5234(a,2),3937(a,2,2))]. 5678 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(5234(a,2),5164(a,2,1)),flip(a)]. 5679 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [para(5234(a,2),5218(a,2,2)),flip(a)]. 5680 T(x * K(y,x),z) / T(x,z) = K(y,T(x,z)). [para(5234(a,2),5219(a,2,1)),flip(a)]. 5681 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [para(5234(a,2),5220(a,1)),flip(a)]. 5682 T(x * K(y,x),z) \ 1 = T(x,z) \ K(T(x,z),y). [para(5234(a,2),5584(a,1,1))]. 5683 T(T(x,y),z) \ T(T(x,u),y) = K(z,T(x,y)) * K(T(x,y),u). [para(5249(a,1),5535(a,1,2))]. 5684 T(T(1 / x,y) * x,z) / x = (1 / x) * T(K(x \ 1,y),z). [para(5259(a,1),824(a,1,1,1,1))]. 5685 T(x * y,T(x,y) \ 1) = T(x * y,x \ 1). [para(13(a,1),5264(a,1,2,1,2))]. 5687 K(x \ y,z) * T(x \ y,y \ x) = T(T(x \ y,z),y \ x). [para(3079(a,1),5276(a,1,1))]. 5688 K(x,y) / (1 / x) = 1 / (K(y,x) / x). [para(5304(a,1),5270(a,1)),flip(a)]. 5689 ((x * (y * T(y \ z,x))) / z) \ x = K(x,((x * y) / z) \ x). [para(1164(a,1),5311(a,1,1))]. 5690 (x * T(x \ y,y)) \ y = K(y,(1 / x) * y). [para(607(a,1),5312(a,1,1))]. 5692 T(x,K(y,y \ x)) = x. [para(5323(a,1),5129(a,1,2))]. 5693 K(x,K(y,y \ x)) = 1. [hyper(36,a,5692,a)]. 5694 T(K(x,x \ y),y) = K(x,x \ y). [hyper(35,a,5692,a)]. 5695 T(K(x,(x \ 1) * y),y) = K(x,x \ y). [para(4563(a,2),5694(a,1,1))]. 5696 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(2639(a,1),5338(a,1,2))]. 5697 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(5359(a,1),405(a,1,1,1))]. 5698 x * ((T(y,(z \ x) \ u) * (x \ (z * u))) / T(y,(z \ x) \ u)) = z * ((z \ x) * (((z \ x) \ u) * K(y,(z \ x) \ u))). [para(5359(a,1),1003(a,1,2,2)),flip(a)]. 5699 ((T(x,(1 / y) \ z) * (z * y)) / T(x,(1 / y) \ z)) / y = (1 / y) * (((1 / y) \ z) * K(x,(1 / y) \ z)). [para(5359(a,1),1144(a,1,2)),flip(a)]. 5700 (x / ((y * z) / y)) * (z * K(y,z)) = x. [para(5361(a,1),16(a,1))]. 5701 R(T(K(x \ y,y),y * z),y,z) = (y * z) \ ((x * T(x \ y,y)) * z). [para(5386(a,2),3179(a,1,2,1)),flip(a)]. 5702 R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. [para(5386(a,2),3178(a,1,1,1)),flip(a)]. 5703 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [para(854(a,1),5391(a,2,1))]. 5704 x * (y * K(x * y,y)) = T(x * y,y). [para(5394(a,1),14(a,1,2))]. 5705 T(T(x * y,y) / (T(x * y,y) / x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(5394(a,1),4540(a,2,2))]. 5706 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(5228(a,1),5400(a,2,2))]. 5707 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [para(5534(a,1),5400(a,2,2))]. 5708 T(x,y) * (K(z,T(x,y)) * u) = T(x * K(z,x),y) * u. [para(5234(a,2),5400(a,1,1)),flip(a)]. 5709 K(x,y * x) = K(x,x * y). [para(5407(a,1),5207(a,2))]. 5710 K(x,x * (y / x)) = K(x,y). [para(16(a,1),5709(a,1,2)),flip(a)]. 5711 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(78(a,1),5709(a,2,2))]. 5712 (x * ((y \ x) \ x)) * K(y,x) = y * (y * (x / y)). [para(5710(a,1),4415(a,1,2))]. 5713 K(x,T(x * (y / x),z)) = K(x,T(y,z)). [para(4953(a,2),5710(a,1,2))]. 5714 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,z)). [para(4960(a,1),5710(a,1,2))]. 5715 K(x,L(x * (y / x),z,u)) = K(x,L(y,z,u)). [para(5089(a,2),5710(a,1,2))]. 5716 L(x \ 1,L(x,y,z),x \ 1) = x \ K(L(x,y,z),x \ 1). [hyper(18,a,2292,a,b,5413,a),flip(a)]. 5717 x \ (y * T(y \ x,x)) = K((1 / y) * x,x). [para(607(a,1),5417(a,1,2))]. 5718 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(5420(a,1),500(a,1,1))]. 5719 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). [para(5459(a,2),3074(a,1))]. 5720 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(13(a,1),5466(a,1,1,1)),flip(a)]. 5721 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(14(a,1),5505(a,1,1,1)),flip(a)]. 5722 R(x / ((y * z) / y),(y * z) / y,((y * z) / y) \ 1) = x * (K(z,y) * (z \ 1)). [para(5505(a,1),346(a,2,2))]. 5724 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(5172(a,1),5505(a,1,1))]. 5725 K(x,y) * (x * T(K(x,z),u)) = T(K(x,z),u) * T(x,y). [para(3106(a,1),5506(a,2,2,1))]. 5726 T(x,y) * T(T(y,x),z) = K(y,z) * (x * y). [para(5507(a,2),4287(a,2))]. 5728 K(x,y) * T(x,z) = K(x,z) * T(x,y). [para(5525(a,2),3093(a,1))]. 5729 x * (K(x,y) * K(x,z)) = K(x,y) * T(x,z). [para(5525(a,2),5174(a,2))]. 5730 K(x,y) * z != x * u | K(x,y) * (x \ z) = u. [para(5526(a,1),19(a,1))]. 5733 x / (y * T(y \ x,z)) = K(z,x / y). [hyper(74,a,5541,a)]. 5734 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [para(604(a,1),5541(a,1,2))]. 5735 T(x,(((y \ z) \ 1) * (z / y)) * u) = T(x,K(y,y \ z) * u). [para(5551(a,1),4845(a,1,2,1)),flip(a)]. 5738 (T(1 / x,y) \ 1) / K(y,x \ 1) = x. [para(3597(a,1),5611(a,1,2))]. 5739 (x * T(y,x)) * T((x * T(y,x)) \ T(y,x),z) = x * (T(y,x) * T(y \ (x \ y),z)). [para(5613(a,1),592(a,2,2,2,1))]. 5740 T(x,y) / (K(z,x) * K(x,y)) = T(x,z). [para(5624(a,1),57(a,1,2))]. 5741 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x * K(y,x)). [para(5171(a,1),5652(a,1,1,1)),flip(a)]. 5742 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5663(a,2),505(a,2,1)),flip(a)]. 5743 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(15(a,1),5713(a,1,2,1,2)),flip(a)]. 5744 K(x \ y,T(T((x \ y) * x,z),u)) = K(x \ y,T(T(y,z),u)). [para(4960(a,1),5713(a,1,2,1))]. 5745 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5728(a,1),19(a,1))]. 5746 R(x,K(y,z),T(y,u)) * (K(y,u) * T(y,z)) = (x * K(y,z)) * T(y,u). [para(5728(a,1),100(a,1,2))]. 5747 x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). [para(592(a,1),5733(a,1,2))]. 5748 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1163(a,1),5733(a,1,2))]. 5749 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(5738(a,1),16(a,1,1)),flip(a)]. 5750 x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(5171(a,1),5740(a,1,1))]. 5751 T(x,y) * K(x * y,x) = R(x,y,x). [para(4567(a,1),5410(a,1,2))]. 5752 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(5410(a,1),5337(a,1,1))]. 5753 K(x * y,T(x,y)) = K(x * y,x). [hyper(17,a,5397,a,b,5751,a),flip(a)]. 5754 K(x,y) * K(x * y,x) = x \ R(x,y,x). [para(5751(a,1),5504(a,1,2)),flip(a)]. 5755 ((x \ 1) \ y) * (x \ 1) != y * z | K(x * y,(x * y) \ y) = z. [para(4051(a,2),5600(a,1))]. 5760 (x * K(y \ 1,x)) / ((x \ (y \ x)) * x) = y. [hyper(74,a,5177,a)]. 5761 K(x \ y,y \ x) * K(x \ y,z) = T(x \ y,z) * (1 / (x \ y)). [para(1986(a,1),5209(a,1,1))]. 5762 (x * K(y,y \ 1)) * K(y,z) = x * (T(y,z) * (1 / y)). [para(5209(a,1),4938(a,2,2))]. 5763 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(18,a,5216,a,b,5235,a),flip(a)]. 5764 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),5235(a,2,2))]. 5765 L(L(x,y,z) * 1,u,w) * x = x * L(L(x,y,z),u,w). [para(533(a,1),5235(a,1,1,1,2))]. 5766 R(x * K(y,x),y,x) = x * K(x * y,x). [hyper(18,a,5675,a,b,5236,a)]. 5767 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(18,a,5216,a,b,5236,a),flip(a)]. 5769 R(T(x * K(y,x),z),y,x) = T(x * K(x * y,x),z). [para(5766(a,1),42(a,2,1))]. 5770 T(x,y * K(y,z)) = T(x,T(y,z)). [para(5258(a,1),2948(a,1))]. 5771 ((T(x,y) \ 1) * x) * T((x \ 1) \ 1,z) = K(y,x) * T(x,z). [para(5303(a,1),3389(a,1,1))]. 5772 K(x,y) * (K(y \ 1,y) * z) = ((T(y,x) \ 1) * y) * z. [para(5303(a,1),4809(a,1,1)),flip(a)]. 5773 (x * K(y,y \ 1)) / K(z,y) = x / ((T(y,z) \ 1) * y). [para(5303(a,1),4892(a,2,2))]. 5774 K(x,y) * T((z * y) / z,x) = y * K(z,T(y,x)). [para(5369(a,2),5178(a,1,2))]. 5775 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(89(a,1),5374(a,2,1))]. 5776 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5374(a,2),5164(a,2,1)),flip(a)]. 5777 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [para(5374(a,2),5219(a,2,1)),flip(a)]. 5778 L(x * K(y,x),z,u) != L(x,z,u) * w | K(y,L(x,z,u)) = w. [para(5374(a,2),5364(a,1))]. 5779 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(5375(a,2),4364(a,1,1))]. 5780 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(5375(a,2),5164(a,2,1)),flip(a)]. 5781 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [para(5375(a,2),5218(a,2,2)),flip(a)]. 5782 R(x,y,z) \ K(R(x,y,z),u) = R(x * K(u,x),y,z) \ 1. [para(5375(a,2),5584(a,1,1)),flip(a)]. 5783 R(x,y,z) * (K(u,R(x,y,z)) * w) = R(x * K(u,x),y,z) * w. [para(5375(a,2),5400(a,1,1)),flip(a)]. 5784 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [para(5392(a,2),2889(a,1)),flip(a)]. 5787 (((x * y) \ x) \ x) * K(y \ 1,x * y) = x * y. [para(5483(a,1),5149(a,1,2))]. 5788 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [para(5486(a,1),279(a,1))]. 5789 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [para(5486(a,1),286(a,1,1))]. 5790 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [para(5486(a,1),604(a,1)),flip(a)]. 5791 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(5486(a,1),643(a,1))]. 5792 T(x,y) * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),y). [para(5486(a,1),1882(a,2)),flip(a)]. 5793 ((x * y) * z) \ ((x * z) * R(T(y,x * z),x,z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(703(a,1),5487(a,1,2,2))]. 5794 (x * y) \ ((z * T(z \ x,u)) * y) = K(((x * y) \ (z * y)) \ 1,u). [para(1880(a,1),5487(a,1,2))]. 5795 K((x / y) \ 1,z) \ (x * T(x \ y,z)) = y. [hyper(68,a,5489,a)]. 5796 x \ (K((x / y) \ 1,z) * y) = T(x \ y,z). [hyper(68,a,5489,a(flip))]. 5797 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(13(a,1),5489(a,2,2,1))]. 5799 T(K((x / y) \ 1,z),y) = y \ (x * T(x \ y,z)). [para(5489(a,1),32(a,2,2))]. 5801 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [para(5489(a,2),643(a,1))]. 5802 T(x * y,z) / y = K(((1 / y) / x) \ 1,z) * x. [para(5489(a,2),826(a,1)),flip(a)]. 5803 K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). [para(5489(a,2),5486(a,1))]. 5804 K((x / y) \ 1,x) = ((x \ y) * x) / y. [para(104(a,1),5501(a,1,1)),flip(a)]. 5805 K(((x \ 1) / y) \ 1,z) = (x \ T(x * y,z)) / y. [para(604(a,1),5501(a,1,1)),flip(a)]. 5806 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [para(591(a,1),5501(a,1,1))]. 5807 (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). [para(592(a,1),5501(a,1,1))]. 5808 K((x / y) \ 1,x) = K(x \ y,x). [para(5804(a,2),5106(a,1))]. 5809 T(K(x \ y,x),y) = K((x / y) \ 1,x). [para(5804(a,2),5467(a,1)),flip(a)]. 5810 K((x * y) \ y,x * y) = K(x \ 1,x * y). [para(15(a,1),5808(a,1,1,1)),flip(a)]. 5811 K(x \ (y \ x),x) = K(y \ 1,x). [para(57(a,1),5808(a,1,1,1)),flip(a)]. 5812 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [para(5808(a,2),4555(a,1))]. 5813 (x * K(y \ 1,x)) \ (y \ x) = (y \ x) / x. [para(5811(a,1),5112(a,1,1,2))]. 5814 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [para(5512(a,1),4650(a,2))]. 5815 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [para(5532(a,1),3167(a,2))]. 5816 K(x,y) * (x \ K(z,x)) = T(x,z) \ K(x,y). [hyper(17,a,5526,a,b,5536,a),flip(a)]. 5820 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(5228(a,1),5552(a,1,2))]. 5821 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [hyper(5452,a,5553,a)]. 5828 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [para(5554(a,1),966(a,1))]. 5829 K((x / (y * x)) \ 1,z) = K(y,z). [hyper(18,a,5489,a,b,5572,a),flip(a)]. 5830 K((x / y) \ 1,z) = K(y / x,z). [para(16(a,1),5829(a,1,1,1,2))]. 5833 K(x / (y * x),z) = K(y \ 1,z). [para(15(a,1),5830(a,1,1,1)),flip(a)]. 5834 K((x \ y) / y,z) = K(x \ 1,z). [para(57(a,1),5830(a,1,1,1)),flip(a)]. 5835 K(L(x \ y,x,z) / (z * y),u) = K((z * x) \ 1,u). [para(321(a,1),5830(a,1,1,1)),flip(a)]. 5836 K(x,(y / z) \ 1) = K(z / y,x) \ 1. [para(5830(a,1),5332(a,1,1)),flip(a)]. 5837 K(((x \ 1) \ y) / y,z) = K(x,z). [para(5834(a,2),3074(a,1))]. 5838 K(x,(y / z) \ 1) = K(x,z / y). [para(5836(a,2),5332(a,1))]. 5839 K(x,(y / z) \ 1) = K(x,z / y) * 1. [para(5836(a,2),5336(a,1))]. 5840 K(x,y / (z * y)) = K(x,z \ 1). [para(15(a,1),5838(a,1,2,1)),flip(a)]. 5843 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(101(a,2),5838(a,1,2,1))]. 5844 R(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). [para(5838(a,2),4645(a,2))]. 5845 ((x / y) \ 1) \ K(z,y / x) = T((x / y) \ 1,z) \ 1. [para(5838(a,1),5151(a,2,2)),flip(a)]. 5846 R(K(x,y / (z * y)),y / (z * y),u) = K(x,z \ 1). [para(5840(a,1),4645(a,2))]. 5849 K(x,(y / z) \ 1) != u * 1 | K(x,z / y) = u. [para(5839(a,2),20(a,1))]. 5850 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [para(5607(a,2),3980(a,2)),flip(a)]. 5851 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [para(5653(a,1),3438(a,1)),flip(a)]. 5852 x * (K(y,y \ 1) * ((T(y,x) \ 1) * y)) = T(x,y). [para(3001(a,2),5654(a,1,2))]. 5853 (x * y) \ (y * T(x * K(z,x),y)) = L(K(z,T(x,y)),T(x,y),y). [para(5672(a,1),138(a,1,2,2))]. 5854 T(x,y) * K(z,T(x,x * (y / x))) = T(x * K(z,x),x * (y / x)). [para(4466(a,1),5672(a,1,1))]. 5855 T(x,y) * T(y * K(z,y),x) = x * (y * K(z,T(y,x))). [para(5672(a,1),4710(a,1,2))]. 5856 T(x * K(T(x,y) \ z,x),y) \ z = z / T(x,y). [para(5672(a,1),5112(a,1,1))]. 5859 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5672(a,1),5678(a,1,1,1))]. 5860 T(x \ 1,y) \ T(x \ K(z,x \ 1),y) = K(z,T(x \ 1,y)). [para(3437(a,1),5679(a,1,2,1))]. 5861 T(x \ T(x * y,y),z) / T(y,z) = K(x * y,T(y,z)). [para(5394(a,2),5680(a,1,1,1))]. 5862 T(R(x,y,x),z) / T(T(x,y),z) = K(x * y,T(T(x,y),z)). [para(5397(a,1),5680(a,1,1,1))]. 5863 T(T(x * K(y,x),z),u) / T(T(x,z),u) = K(y,T(T(x,z),u)). [para(5672(a,1),5680(a,1,1,1))]. 5864 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(5685(a,2),4256(a,1,2))]. 5865 K(x,(1 / y) * x) = K(x,y \ x). [para(5690(a,1),5311(a,1))]. 5866 K(x,(y \ 1) \ x) = K(x,y * x). [para(57(a,1),5865(a,1,2,1)),flip(a)]. 5867 K(x,(y \ 1) \ x) = K(x,x * y). [para(5866(a,2),5709(a,1))]. 5868 a((x * y) / x,x,z) = (y * (T(x,y) * z)) \ ((x * y) * z). [para(5706(a,1),81(a,1,1)),flip(a)]. 5869 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [para(5707(a,1),982(a,2))]. 5870 K(x,y) = (x * y) * ((y * x) \ 1). [para(13(a,1),5720(a,1,1))]. 5871 (x * y) \ K(x,y) = (y * x) \ 1. [hyper(68,a,5870,a(flip))]. 5872 ((x * y) \ 1) \ K(y,x) = T(y * x,(x * y) \ 1). [para(5870(a,2),32(a,2,2)),flip(a)]. 5874 (x * y) * ((y * x) * (1 / (x * y))) = (((x * y) \ 1) \ 1) * K(y,x). [para(5870(a,2),3027(a,1,2)),flip(a)]. 5875 K(x,y) = (1 / (y * x)) * (x * y). [para(5870(a,2),4166(a,2)),flip(a)]. 5876 ((x \ y) * x) \ 1 = y \ K(x,x \ y). [para(14(a,1),5871(a,1,1)),flip(a)]. 5877 K(x,y) / (x * y) = 1 / (y * x). [hyper(74,a,5875,a(flip))]. 5878 (1 / ((x \ y) * x)) * y = K(x,x \ y). [para(14(a,1),5875(a,2,2)),flip(a)]. 5879 ((K(x,y) / (x * y)) * x) \ K(x,y) = L(y,x,1 / (y * x)). [para(5877(a,1),94(a,1,3)),flip(a)]. 5880 (x * y) * ((y * x) * (1 / (x * y))) = T(y * x,(x * y) \ 1). [para(5877(a,1),3999(a,1,2,2))]. 5881 K(x \ (1 / y),T(x,x \ (y \ 1))) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(4889(a,1),5877(a,2,2))]. 5885 K(x \ y,x) * K(x \ y,z) = (y / x) \ T(x \ y,z). [para(5169(a,2),5721(a,1,2))]. 5887 (x \ y) \ (K(x \ y,x) * z) = (y / x) \ z. [para(5721(a,1),5612(a,2))]. 5888 K(x,y) * T(x,z) != x * u | K(x,y) * K(x,z) = u. [para(5729(a,1),19(a,1))]. 5889 K(x,y / ((y \ z) \ 1)) * (T(z,x) / (y \ z)) = y. [para(4955(a,1),5734(a,1,2))]. 5890 (x \ T(x * y,z)) / y = K(y / (x \ 1),z). [para(5734(a,1),5438(a,1,2))]. 5891 (x * K((x / y) \ 1,x)) / ((x \ y) * x) = x / y. [para(59(a,1),5760(a,1,2,1,2))]. 5892 K((x \ 1) \ K(y,x),z) = K((y * x) / y,z). [para(5784(a,1),3074(a,1,1))]. 5893 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [para(15(a,1),5796(a,1,2,1,1,1))]. 5894 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(5810(a,1),185(a,1,2)),flip(a)]. 5895 ((x \ 1) \ (x \ y)) / (x \ y) = (y / x) \ ((x \ 1) \ (x \ y)). [para(5411(a,1),5813(a,1,1)),flip(a)]. 5900 (x / (x / y)) * ((x / y) * z) = y * ((y \ x) * z). [para(5821(a,1),5124(a,2,2))]. 5901 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(74,a,5850,a)]. 5902 (x \ y) / (x \ T(y,x \ 1)) = K(x \ 1,y). [para(5850(a,1),5438(a,1,2))]. 5903 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [para(5172(a,2),5851(a,1,2))]. 5904 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [para(5869(a,2),883(a,2)),flip(a)]. 5905 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [para(4952(a,1),5890(a,1,1)),flip(a)]. 5906 K(x / ((x \ y) \ 1),z) = (T(y,z) / (x \ y)) / x. [para(4955(a,1),5890(a,1,1)),flip(a)]. 5907 K(x / (y \ 1),y) = K(y * x,y). [para(5890(a,1),5629(a,1))]. 5908 ((x * L(y,x,z)) \ (z * (x * y))) \ R(z,x,L(y,x,z)) = K(x * L(y,x,z),R(z,x,L(y,x,z))). [para(631(a,1),5144(a,1,1))]. 5909 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(3856(a,1),5144(a,1,1,1)),flip(a)]. 5911 K(x * (y / x),L(x,z,u)) = L(x,z,u) / L(T(x,y),z,u). [para(4466(a,1),5191(a,1,2,1)),flip(a)]. 5912 R(T(x,y),z,u) / R(T(T(x,w),y),z,u) = K(w,R(T(x,y),z,u)). [para(38(a,1),5192(a,1,2,1))]. 5913 (x * (y * z)) \ ((x * y) * L(T(z,u),y,x)) = L(K(L(z,y,x),u),L(z,y,x),x * y). [para(5201(a,1),326(a,1,1)),flip(a)]. 5914 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(3856(a,1),5202(a,1,2,1)),flip(a)]. 5915 (R(T(x,y),z,u) * (z * u)) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). [para(5265(a,1),351(a,1,1)),flip(a)]. 5916 K(L(x,y,z),x \ 1) = K(x,x \ 1). [hyper(18,a,5065,a,b,5277,a)]. 5917 (x * y) * K(L(z,u,w),z \ 1) = x * (y * K(z,z \ 1)). [para(5916(a,2),4823(a,1,2))]. 5918 K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). [para(4568(a,1),5325(a,2,1,1))]. 5919 R(x * K(y,x),y,x) = x * K(y * x,x). [para(5366(a,2),5172(a,1))]. 5920 K(x * y,y) = K(y * x,y). [hyper(17,a,5766,a(flip),b,5919,a(flip))]. 5921 ((x * K(y,x)) * y) / L(x,y,x * K(y * x,x)) = (R(x * K(y,x),y,x) * y) / x. [para(5919(a,1),1046(a,1,2,3))]. 5922 R(x / (x / y),y \ x,y) = y * K((y \ x) * y,y). [para(5100(a,2),5919(a,1,1))]. 5923 K(x * (y / x),x) = K(y,x). [para(16(a,1),5920(a,1,1)),flip(a)]. 5924 K(x * y,T(y,x)) = K(x * y,y). [para(5920(a,2),4567(a,2))]. 5925 T(x * K(x * y,x),y * x) = x. [para(5920(a,1),5171(a,1,1,2))]. 5926 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5920(a,2),5754(a,1,2))]. 5927 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5920(a,1),5679(a,1,2,1,2))]. 5928 K(x / (y \ 1),y) = K(x * y,y). [para(5920(a,2),5907(a,2))]. 5929 K(T(x,y) * y,x) = K(x * y,x). [para(3937(a,2),5923(a,1,1))]. 5930 K(T(x * (y / x),z),x) = K(T(y,z),x). [para(4953(a,2),5923(a,1,1))]. 5931 (x * y) * K(x * y,T(y,x)) = T(x * y,y). [para(5924(a,2),5200(a,2,2)),flip(a)]. 5932 K(T(T(x,y) * y,z),x) = K(T(x * y,z),x). [para(3937(a,2),5930(a,1,1,1))]. 5933 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(5926(a,1),2114(a,1)),flip(a)]. 5934 T(x * y,T(y,x)) = T(x * y,y). [para(5931(a,1),5200(a,2))]. 5935 T(x,T(T(x,y) * y,z)) = K(T(x * y,z),x) \ x. [para(5932(a,1),5159(a,2,1))]. 5936 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(5383(a,2),4457(a,1,1))]. 5937 x \ K(x * y,x \ 1) = y / (y / (x \ 1)). [para(4558(a,1),5117(a,1,2))]. 5938 (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). [para(5937(a,2),59(a,1,1))]. 5939 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(5225(a,1),14(a,1,2))]. 5940 ((x \ y) * x) * K(z,(x \ y) * x) = (x \ (y * K(z,y))) * x. [hyper(18,a,5216,a,b,5245,a),flip(a)]. 5941 T((x / y) * K(z,x / y),y) = (y \ x) * K(z,y \ x). [para(5373(a,2),5172(a,1))]. 5942 T((x / (y * K(z,y))) * y,(z * y) / z) = ((z * y) / z) \ (x * y). [para(5387(a,1),106(a,1,1))]. 5943 K(x \ 1,y) * (K(x \ 1,x) * z) = (T(x \ 1,y) * x) * z. [para(5405(a,1),4809(a,1,1)),flip(a)]. 5944 K(x \ 1,x) * (y * K(x \ 1,z)) = y * (T(x \ 1,z) * x). [para(5405(a,1),4877(a,2,2))]. 5945 x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). [hyper(68,a,5485,a)]. 5946 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(59(a,1),5485(a,1,2,2,1,2))]. 5947 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(104(a,1),5485(a,1,2))]. 5948 x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). [para(604(a,1),5485(a,1,2))]. 5949 x * (y * (z * T(z \ (y \ (x \ 1)),u))) = K((x * (y * z)) \ 1,u). [para(592(a,1),5485(a,1,2))]. 5950 x * (y \ ((z \ (y * (x \ 1))) * z)) = K((x * (y \ z)) \ 1,z). [para(976(a,1),5485(a,1,2))]. 5951 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [para(5485(a,1),1785(a,1)),flip(a)]. 5952 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(604(a,1),5491(a,1,2))]. 5953 x * (T(y,x) * T(y \ (x \ y),z)) = K(x \ 1,z) * T(y,x). [para(5613(a,1),5491(a,1,2,2,1))]. 5955 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(5168(a,1),5494(a,1,1))]. 5956 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(5955(a,1),100(a,1,1))]. 5957 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(101(a,1),5955(a,2,1,1))]. 5958 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3074(a,1),5955(a,1,1)),flip(a)]. 5959 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [para(5955(a,1),4645(a,1))]. 5960 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(499(a,1),5959(a,1,1,1))]. 5961 K(x,R(y \ 1,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(5958(a,1),5332(a,1,1)),flip(a)]. 5962 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(5958(a,1),5336(a,1,1)),flip(a)]. 5963 (x * y) * z != x * T(y,u) | K(((x * y) \ x) \ 1,u) = z. [para(5498(a,1),19(a,1)),flip(a)]. 5965 T(x,y) / (z \ x) = z * K((z \ (1 / (z \ x))) \ 1,y). [para(14(a,1),5499(a,1,1,1))]. 5966 T(x,y) * z != R(x,u,w) * K(x,y) | x \ R(x,u,w) = z. [para(5523(a,1),19(a,1)),flip(a)]. 5967 T(x,x * y) \ ((y * x) * K(x,y * x)) = T(y,x). [para(4462(a,1),5560(a,1,1))]. 5968 T(T(x,y),z) * (T(x,z) \ y) = y * K(T(x,z),y). [para(5561(a,1),14(a,1,2))]. 5969 K(x \ y,y \ x) * K((y \ x) \ 1,z) = T((y \ x) \ 1,z) * (y \ x). [para(2568(a,1),5579(a,1,1))]. 5970 1 / (x * K(y,x)) = K(y,x) \ (1 / x). [para(5343(a,1),5583(a,1,1)),flip(a)]. 5971 (x \ 1) * (y / (x \ 1)) != y * z | K(x \ 1,x * y) = z. [para(5605(a,2),19(a,1))]. 5972 x * (y * K(x \ 1,x * y)) = L(y / (x \ 1),x \ 1,x). [para(5605(a,1),153(a,1,2))]. 5973 (K(x,y \ 1) / y) \ 1 = (1 / y) \ K(y \ 1,x). [para(5663(a,2),5632(a,1,1))]. 5974 K(x / y,T(x,z)) = K(y \ x,T(x,z)). [para(5657(a,1),5190(a,1))]. 5975 K((x \ y) \ y,T(y,z)) = K(x,T(y,z)). [para(57(a,1),5974(a,1,1)),flip(a)]. 5976 K(T(x \ y,x),T(y,z)) = K(x \ y,T(y,z)). [para(4294(a,2),5975(a,1,1))]. 5977 (K(x,y) / y) / (K(z \ 1,z) / T(y,x)) = K(z,z \ 1). [para(3749(a,1),5658(a,1,2))]. 5978 (K(x,y) / y) / (K(z \ u,u \ z) / T(y,x)) = K(u \ z,z \ u). [para(3781(a,1),5658(a,1,2))]. 5979 K(x,y) * (x \ K(z,x)) = (T(x,z) \ 1) * K(x,y). [para(5151(a,1),5659(a,1,2))]. 5980 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [hyper(5730,a,5668,a)]. 5982 (x * ((y \ x) \ x)) * K(y,x) = ((y \ x) \ x) * x. [para(5712(a,2),3971(a,2)),flip(a)]. 5983 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,T(z,y))). [para(4281(a,2),5714(a,2,2))]. 5984 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(5057(a,1),5748(a,1,2))]. 5985 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(5147,a,5787,a)]. 5986 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [para(123(a,2),5985(a,2,1)),flip(a)]. 5987 T(x * (y \ 1),y) = ((x * (y \ 1)) \ x) \ x. [para(5985(a,1),2935(a,1)),flip(a)]. 5988 x / T(x * y,y \ 1) = L(y \ 1,y,x). [para(5986(a,1),57(a,1,2))]. 5989 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(5009(a,1),5988(a,1,2))]. 5990 T(x * (((x \ y) \ 1) \ 1),(x \ y) \ 1) = (((y \ x) \ 1) \ 1) \ x. [para(3374(a,1),5987(a,2,1))]. 5991 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(5790(a,1),14(a,1,2))]. 5992 x \ (((x * y) \ z) \ z) = y * K((y \ (x \ 1)) \ 1,(x * y) \ z). [para(105(a,1),5790(a,1,2))]. 5993 T(x * R(x \ (x * y),z,u),x) = x * R(y * K((y \ (x \ 1)) \ 1,x),z,u). [para(5790(a,1),1500(a,2,2,1))]. 5994 x \ (((y * x) / y) * ((y \ x) \ 1)) = ((y \ x) \ 1) * K((((y \ x) \ 1) \ (x \ 1)) \ 1,x). [para(4058(a,1),5790(a,1,2))]. 5995 T(x \ T(x * y,y),z) / T(y,z) = K((y \ (x \ 1)) \ 1,T(y,z)). [para(5790(a,2),5680(a,1,1,1))]. 5996 x \ (y * T(y \ x,x)) = K((y / x) \ 1,x). [para(5799(a,1),3157(a,1))]. 5997 K((x / y) \ 1,y) = K((1 / x) * y,y). [para(5996(a,1),5717(a,1))]. 5998 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [para(16(a,1),5802(a,1,1,1)),flip(a)]. 6000 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [para(4952(a,1),5805(a,2,1))]. 6001 (x * K(x \ y,x)) / ((x \ y) * x) = x / y. [para(5808(a,1),5891(a,1,1,2))]. 6002 (x / (x / y)) / ((y \ x) * y) = y / x. [para(5100(a,2),6001(a,1,1))]. 6003 (x / y) \ (y / (y / x)) = (x \ y) * x. [para(6002(a,1),59(a,1,1))]. 6004 T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). [para(3270(a,1),5893(a,1,2,1)),flip(a)]. 6005 (((x \ 1) * y) \ y) * (x \ L(y,x \ 1,x)) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(360(a,2),5894(a,1,2))]. 6006 (((x * (y * x)) / x) / y) * ((((x * (y * x)) / x) / T(x,x * y)) * z) = T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z). [para(4471(a,1),5900(a,1,1,2))]. 6007 T(x,T(T(x,y) * y,z)) = T(x,T(x * y,z)). [para(5935(a,2),5159(a,2)),flip(a)]. 6008 K(R(x,y,z),T(T(x,u) * u,w)) = R(T(x,T(x * u,w)),y,z) / R(x,y,z). [para(6007(a,1),5265(a,1,1,1)),flip(a)]. 6009 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [para(5172(a,1),5939(a,2,2)),flip(a)]. 6010 (x \ y) * T((x \ y) \ (x \ 1),z) = x \ K(y \ 1,z). [para(14(a,1),5945(a,1,2,1,1)),flip(a)]. 6011 x \ T(x * (y \ 1),z) = y \ K((y * (x \ 1)) \ 1,z). [para(5945(a,2),604(a,1)),flip(a)]. 6012 (x \ 1) * K(((x \ 1) \ y) \ 1,z) = x \ K((x * y) \ 1,z). [para(5945(a,2),5486(a,1)),flip(a)]. 6013 T(x,x * y) \ ((x * (y * x)) / x) = T(y,x). [para(5172(a,2),5967(a,1,2))]. 6014 (T(x,y) \ 1) * K(x,z) = T(x,y) \ K(x,z). [para(5979(a,1),5816(a,1))]. 6016 K((x \ y) \ y,y) = K(x,y). [hyper(187,a,5982,a)]. 6017 K(x / y,x) = K(y \ x,x). [para(59(a,1),6016(a,1,1,1)),flip(a)]. 6018 K((x / y) \ 1,y) = K(x \ y,y). [para(6017(a,1),5830(a,2))]. 6019 K(x \ (y \ x),y \ x) = K(y \ 1,y \ x). [para(6017(a,1),5834(a,1))]. 6020 K((1 / x) * y,y) = K(x \ y,y). [para(6018(a,1),5997(a,1)),flip(a)]. 6021 K((x \ 1) \ y,y) = K(x * y,y). [para(57(a,1),6020(a,1,1,1)),flip(a)]. 6022 K((x \ 1) \ y,y) = K(y * x,y). [para(6021(a,2),5920(a,1))]. 6023 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5332(a,1),5991(a,1,2,2,1,1,2))]. 6024 (x / (x / y)) \ L(y,y \ x,y) = K((x / y) \ x,x). [para(5230(a,2),6017(a,1))]. 6025 R(x,y * K(x,y),x) = T(T(x,y) * y,x) / y. [para(5186(a,1),5241(a,1,1,1)),flip(a)]. 6026 R(x,y * K(x,y),x) = R(x,y,T(x,y)). [para(6025(a,2),4732(a,1))]. 6027 R(x,y * K(x,y),x) = R(x,y,x). [para(6026(a,2),4438(a,1))]. 6028 R(x,T(y,x),x) = R(x,y,x). [para(5217(a,1),6027(a,1,2)),flip(a)]. 6029 R(x,T(y,x),T(x,y)) = R(x,y,x). [para(6028(a,1),4441(a,2))]. 6030 R(T(x,y),T(z,x),T(x,z)) = T(R(x,z,x),y). [para(6029(a,1),42(a,2,1))]. 6031 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(6029(a,1),46(a,1,1)),flip(a)]. 6032 R(T(x,y),T(z,x),T(x,z)) = R(T(x,y),z,x). [para(6030(a,2),42(a,2)),flip(a)]. 6033 R(T(T(x,y),z),T(u,x),T(x,u)) = T(R(T(x,y),u,x),z). [para(6032(a,1),42(a,2,1))]. 6034 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(6031(a,1),4341(a,1,1)),flip(a)]. 6035 K(x,y) * (K(y,x) * z) = L(z,K(y,x),K(x,y)). [para(5356(a,1),48(a,1)),flip(a)]. 6036 (x * K(y,z)) * K(z,y) = R(x,K(y,z),K(z,y)). [para(5357(a,1),56(a,1)),flip(a)]. 6037 R(x,K(y,z),K(z,y)) / K(z,y) = x * K(y,z). [hyper(74,a,6036,a)]. 6038 R(x / K(y,z),K(y,z),K(z,y)) = x * K(z,y). [para(16(a,1),6036(a,1,1)),flip(a)]. 6039 R(x * y,K(y,x),K(x,y)) = (y * x) * K(x,y). [para(82(a,1),6036(a,1,1)),flip(a)]. 6040 R(T(x / K(y,z),u),K(y,z),K(z,y)) = T(x * K(z,y),u). [para(6038(a,1),42(a,2,1))]. 6041 R(x * y,K(y,x),K(x,y)) = x * y. [para(6039(a,2),82(a,1))]. 6042 R(T(x * y,z),K(y,x),K(x,y)) = T(x * y,z). [para(6041(a,1),42(a,2,1))]. 6043 T(x * y,z) / K(x,y) = T(x * y,z) * K(y,x). [para(6042(a,1),6037(a,1,1))]. 6044 T(x * T(y,x),z) * K(T(y,x),x) = T(y * x,z) / K(x,T(y,x)). [para(104(a,1),6043(a,1,1,1)),flip(a)]. 6045 L(x * K(y,x),x \ y,x) = x * K(x \ y,x). [para(5378(a,2),5122(a,1))]. 6046 (x * K(y,y \ z)) \ (x * (z / y)) = L(y \ z,K(y,y \ z),x). [para(14(a,1),5422(a,1,2,2,1))]. 6047 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(5337(a,2),5435(a,1,2))]. 6048 (T(x,y) * K(z,x)) \ u = K(x,z) * (T(x,y) \ u). [para(5440(a,1),4675(a,1))]. 6049 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5336(a,1),5440(a,1,1,2))]. 6050 K(x,x * y) * (T(x,y) \ z) = R(x,y,x) \ z. [para(5751(a,1),6048(a,1,1)),flip(a)]. 6051 (R(x,y,x) \ z) / (T(x,y) \ z) = K(x,x * y). [hyper(74,a,6050,a)]. 6052 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(125(a,1),5674(a,2,3))]. 6053 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(17,a,5060,a(flip),b,5763,a)]. 6054 L(x,x \ y,x) * K(y,L(x,x \ y,x)) = x * K(x \ y,x). [para(5763(a,2),6045(a,1))]. 6055 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). [para(6053(a,2),4817(a,1,2))]. 6056 R(x,y,z) / R(x * K(u,x),y,z) = K(R(x,y,z),u). [para(5767(a,1),5353(a,1,2))]. 6058 R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). [para(125(a,2),5846(a,1,2))]. 6059 (x \ y) * R(y / (y / x),x \ y,x) = T((x \ y) * x,x). [para(5922(a,2),5704(a,1,2))]. 6060 K(x,y) = (y / (y / x)) \ L(x,x \ y,x). [para(59(a,1),6024(a,2,1)),flip(a)]. 6061 K(x,y) = L((y * x) / y,x \ y,x) \ L(x,x \ y,x). [para(4545(a,2),6060(a,2,1))]. 6062 K(R(x,y,z),T(x,u) * u) = R(x,y,z) / R(x * K(x * u,x),y,z). [para(5929(a,1),6056(a,1,2,1,2)),flip(a)]. 6063 T(x * K(T(x,y) \ y,x),y) = y / (T(y,x) / x). [para(5119(a,1),5672(a,1)),flip(a)]. 6064 T(x * K(x \ y,x),y) = y / (T(y,x) / x). [para(4504(a,1),6063(a,1,1,2))]. 6065 T(x / (x / y),x) = x / (T(x,y) / y). [para(5100(a,2),6064(a,1,1))]. 6066 L(x,x \ y,x) = y / (T(y,x) / x). [para(6064(a,1),5121(a,1)),flip(a)]. 6067 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ ((T(z,y) / y) \ z)) * x. [para(6066(a,2),4985(a,1,1,1,2))]. 6068 x / (x / T(y,x)) = T(x / (x / y),x). [para(4330(a,1),6065(a,2,2)),flip(a)]. 6069 T(x / (x / y),x) \ x = x / T(y,x). [para(6068(a,1),59(a,1,1))]. 6070 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [para(6068(a,2),4543(a,1,2))]. 6071 L(x,x \ y,x) \ y = y / T(x,y). [para(4540(a,1),6069(a,1,1))]. 6072 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [para(6070(a,2),4474(a,2))]. 6073 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [hyper(4634,a,6072,a)]. 6075 (x \ (((y * x) / y) * ((y \ x) \ 1))) * T(x,x * ((y \ x) \ 1)) = (x \ (x * ((y \ x) \ 1))) * x. [para(4058(a,1),6073(a,1,1,2))]. 6076 K(x,y) * ((x \ 1) \ y) = (y \ ((x \ 1) \ y)) * y. [para(5208(a,2),104(a,1))]. 6077 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(5208(a,2),5491(a,1,2))]. 6078 T(x * K(x * y,x),z) * y = y * R(T(x,z),y,x). [para(5769(a,1),5240(a,1,1))]. 6079 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(131,a,6078,a(flip))]. 6080 T(T(x * K(y * x,x),z),y) = R(T(x,z),y,x). [para(5920(a,2),6079(a,1,1,1,2))]. 6081 R(T(x,y),z,x) * (z * x) = (z * x) * T(T(x,y),z). [para(6080(a,1),5239(a,1,1))]. 6082 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(409,a,6081,a)]. 6084 (T(x,y) * (1 / x)) * (z * K(x \ 1,x)) = K(x,y) * z. [hyper(4878,a,5406,a),flip(a)]. 6085 x * K(T(y,x) \ 1,z) = K(y \ 1,z) * x. [para(5488(a,1),5492(a,1))]. 6086 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(131,a,6085,a),flip(a)]. 6088 x * K(T(y,x) \ 1,z) != u * x | K(y \ 1,z) = u. [para(6085(a,2),20(a,1))]. 6089 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(59(a,1),6086(a,2,1,1))]. 6090 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3074(a,1),6086(a,2,1))]. 6092 K(x * K(y,x \ 1),z) = T(K(x,z),y). [para(5749(a,1),6089(a,1,1))]. 6093 K(x,y * K(z,y \ 1)) = T(K(y,x),z) \ 1. [para(6092(a,1),5332(a,1,1)),flip(a)]. 6094 K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). [para(5625(a,1),5538(a,1,2)),flip(a)]. 6095 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [para(5570(a,2),4486(a,1))]. 6096 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [para(5571(a,2),4487(a,1))]. 6097 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(5660(a,2),5491(a,1,2))]. 6098 x * (y \ ((z * (y * (x \ 1))) / z)) = K(z,(x * (y \ 1)) \ 1). [para(814(a,1),5664(a,1,2))]. 6099 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [para(5665(a,1),1570(a,1)),flip(a)]. 6100 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(5665(a,1),1593(a,1,1)),flip(a)]. 6101 x * (y * ((z * (y \ (x \ y))) / z)) = K(z,x \ 1) * y. [para(5667(a,1),812(a,1)),flip(a)]. 6102 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = (K(x,y \ 1) * z) * u. [para(5667(a,1),2318(a,2,1))]. 6103 (T(x * K(y,x),z) * u) / (T(x,z) * u) = K(y,T(x,z)). [para(5708(a,1),4666(a,1,1))]. 6104 x / (y * (z * (u * T(u \ (z \ (y \ x)),w)))) = K(w,x / (y * (z * u))). [para(592(a,1),5747(a,1,2,2))]. 6105 x / (y * (((z \ ((y \ x) * u)) * z) / u)) = K(z,x / (y * (z / u))). [para(1163(a,1),5747(a,1,2,2))]. 6106 ((x * y) * z) / (x * (z * T(z \ (x \ ((x * y) * z)),u))) = K(u,R(y * K(x,y),x,z)). [para(5366(a,2),5747(a,2,2))]. 6107 L(L(x,y,z),u,w) * x = x * L(L(x,y,z),u,w). [para(12(a,1),5765(a,1,1,1))]. 6108 T(x,L(L(x,y,z),u,w)) = x. [hyper(131,a,6107,a)]. 6109 (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),5791(a,2,2))]. 6110 (1 / x) \ T(x \ 1,y) = T(x \ 1,y) * x. [para(5885(a,1),5579(a,1))]. 6111 x * T(x \ (T(x \ 1,y) * x),z) = (1 / x) \ T(T(x \ 1,y),z). [para(6110(a,1),653(a,1,2,1,2))]. 6112 K(x \ R(x,y,z),R(x,u,w)) = 1. [para(5909(a,2),49(a,1))]. 6114 K(R(x,y,z),x \ R(x,u,w)) = 1. [para(5914(a,2),49(a,1))]. 6116 K(x * y,T(y,z)) = K(y * x,T(y,z)). [para(5927(a,1),5679(a,1))]. 6117 ((x / y) * K(z,x / y)) * y = y * ((y \ x) * K(z,y \ x)). [para(5941(a,1),104(a,1,2)),flip(a)]. 6118 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(604(a,1),5946(a,1,2)),flip(a)]. 6119 K(((x \ 1) * (y \ 1)) \ 1,z) = (x \ T(x * y,z)) * (y \ 1). [para(604(a,1),5951(a,1,1)),flip(a)]. 6120 (x * (y * T(y \ (x \ z),u))) * (z \ 1) = K(((x * y) * (z \ 1)) \ 1,u). [para(592(a,1),5951(a,1,1))]. 6121 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5486(a,1),5951(a,1,1))]. 6122 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [para(5951(a,1),5559(a,1))]. 6123 K(T(x / y,z),T(x / y,z) \ 1) = (K(u,w) / w) / (K(x \ y,y \ x) / T(w,u)). [para(3213(a,1),5977(a,1,2,1)),flip(a)]. 6124 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(74,a,5998,a),flip(a)]. 6125 K(((x \ 1) / (y / x)) \ 1,z) \ (T(y,z) / x) = y / x. [para(6000(a,2),59(a,1,1))]. 6126 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [para(6004(a,2),5893(a,1))]. 6127 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [hyper(486,a,6009,a)]. 6128 K(((x \ 1) \ (x \ y)) \ 1,z) = (x \ 1) \ (x \ K(y \ 1,z)). [para(6010(a,1),5487(a,1,2)),flip(a)]. 6129 K(((x \ y) * ((x \ 1) \ 1)) \ 1,z) = (x \ K(y \ 1,z)) * ((x \ 1) \ 1). [para(6010(a,1),5951(a,1,1)),flip(a)]. 6130 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [para(6011(a,1),14(a,1,2))]. 6131 R(T(T(x,y),z),T(u,x),T(x,u)) = R(T(T(x,y),z),u,x). [para(6033(a,2),42(a,2)),flip(a)]. 6132 K(L(x,x \ y,x),y) = K(x,y). [para(6061(a,2),5308(a,1)),flip(a)]. 6133 T(x,L(y,y \ x,y)) = K(y,x) \ x. [para(6132(a,1),5159(a,2,1))]. 6134 T(x,L(y,y \ x,y)) = T(x,y). [para(6133(a,2),5159(a,2)),flip(a)]. 6135 (T(x,y) * (1 / x)) * (T(x \ 1,x) * z) = K(x,y) * ((x \ 1) * z). [para(3459(a,1),6084(a,1,2))]. 6136 K(x,((y \ 1) / (z / y)) \ 1) * (T(z,x) / y) = z / y. [para(6125(a,1),5336(a,1)),flip(a)]. 6137 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6122(a,1),6130(a,1,2,2))]. 6138 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6137(a,1),1109(a,2,2,1))]. 6139 (x * y) * K(x \ 1,x * y) = y / R(1 / x,x,y). [para(5810(a,1),5113(a,1,2))]. 6140 (x * y) * K(x \ 1,(x \ 1) \ y) = y / R(1 / x,x,y). [para(4566(a,2),6139(a,1,2))]. 6141 ((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(5289(a,1),118(a,1,1))]. 6142 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). [para(5300(a,1),1737(a,1,2))]. 6143 ((1 / (x * y)) * (x * y)) / L(x,y * K(x,y),1 / (x * y)) = a((x * y) \ 1,(x * y) / x,x) / x. [para(5371(a,2),4153(a,2)),flip(a)]. 6144 R(K(x,y / z),y / z,z) = (z * ((x * (z \ y)) / x)) / y. [para(561(a,1),5390(a,2,1))]. 6145 (x * y) \ (y * (T(x,y) * z)) = L(z,x,y * K(x,y)). [para(5228(a,1),5425(a,1,2,2))]. 6146 L(x,y,z * K(y,z)) = L(x,T(y,z),z). [para(6145(a,1),138(a,1))]. 6147 (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(5515(a,1),319(a,1,1))]. 6148 ((1 / x) * (y \ x)) \ K(y \ x,y) = L(y,y \ x,x \ 1). [para(5649(a,2),3767(a,1))]. 6149 ((1 / x) * y) \ K(y \ x,y) = T(((1 / x) * y) \ 1,y). [para(5651(a,2),493(a,2)),flip(a)]. 6150 L(x * (x \ K(L(x,y,z),x \ 1)),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(5716(a,1),2795(a,1,1,2))]. 6151 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(3676(a,1),5742(a,1,1,1))]. 6152 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(T(x,z),y)). [para(42(a,2),5862(a,1,1))]. 6153 a((x * y) / x,x,z) = a(y,T(x,y),z). [para(5868(a,2),135(a,1))]. 6154 a(x * K(y,x),y,z) = a(x,T(y,x),z). [para(5172(a,1),6153(a,1,1))]. 6155 ((K(x,y) / (x * y)) * x) \ K(x,y) = L(y,x,(y * x) \ 1). [para(5879(a,2),3767(a,1))]. 6156 K(x * (y / x),L(x,z,u)) = K(y,L(x,z,u)). [para(5911(a,2),5191(a,1))]. 6159 K(((x * y) / (z * y)) \ 1,u) * (z * y) = (K((x / z) \ 1,u) * z) * y. [para(101(a,1),5956(a,1,1,1,1))]. 6160 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(5808(a,1),5957(a,1,1))]. 6161 R(K(x,y),y * x,z) = K(((y * z) / ((y * x) * z)) \ 1,y). [para(13(a,1),6160(a,1,1,1))]. 6162 (L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ 1) \ (x * K((y \ 1) \ 1,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(5972(a,1),4259(a,1,1,1))]. 6163 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(59(a,1),5989(a,1,2,2)),flip(a)]. 6164 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). [para(6053(a,2),6055(a,2,2,2))]. 6165 R(x / (x / y),y \ x,y) = y * K(x,y). [hyper(17,a,5401,a,b,6059,a)]. 6166 x / R(1 / y,y,x) != (y * x) * z | K(y \ 1,(y \ 1) \ x) = z. [para(6140(a,1),19(a,1))]. 6167 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [para(6144(a,1),5844(a,1))]. 6168 K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). [para(6167(a,1),16(a,1,1))]. 6170 K(x,y \ 1) * (y \ z) = z * ((x * (z \ (y \ z))) / x). [para(57(a,1),6168(a,1,1,2,1))]. 6172 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(6168(a,2),5939(a,2)),flip(a)]. 6173 x * (K(y,x \ 1) * (x \ z)) = K(y,x \ 1) * z. [para(6170(a,2),6101(a,1,2))]. 6175 K(x,y \ 1) * (y * z) = y * (K(x,y \ 1) * z). [para(13(a,1),6173(a,1,2,2)),flip(a)]. 6179 (x \ 1) * (K(y,(x \ 1) \ 1) * z) = K(y,x) * ((x \ 1) * z). [para(3596(a,1),6175(a,1,1)),flip(a)]. 6180 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [para(6151(a,2),2598(a,1))]. 6181 ((1 / (x * y)) * y) \ K(y,x) = L(x,y,(x * y) \ 1). [para(5877(a,1),6155(a,1,1,1))]. 6182 (1 / L(x,y,(x * y) \ 1)) * ((K(y,x) \ ((1 / (x * y)) * y)) * (((1 / (x * y)) * y) \ K(y,x))) = K(y,x) \ ((1 / (x * y)) * y). [para(6181(a,1),1664(a,1,1,2))]. 6183 x * K(((x * ((x * y) \ x)) / ((x * y) * ((x * y) \ x))) \ 1,x) = (K(y,x) * (x * y)) * ((x * y) \ x). [para(6161(a,1),3162(a,1,2))]. 6184 R(T(x,y) * K(T(y * L(x,z,u),T(x,y)),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1050(a,1),5115(a,1,1,1,2,1))]. 6185 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(82(a,1),5142(a,1,2,1)),flip(a)]. 6186 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(6185(a,1),16(a,1,1))]. 6188 (x \ 1) * L(T(T(x,y),x \ 1),z,u) = x \ L(T(x,y),z,u). [para(5404(a,1),5254(a,1,2,1))]. 6189 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(5269(a,2),5291(a,1,2,1))]. 6190 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(5171(a,1),6189(a,1,2,1)),flip(a)]. 6191 x * (K(x,y) * L(x \ K(y,x),z,u)) = T(x * L(x \ 1,z,u),y). [para(5302(a,1),5174(a,2))]. 6192 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [para(5365(a,1),1281(a,1))]. 6193 T(T(x * K(y * T(x,z),x),u),y) = R(T(y \ (y * x),u),y,T(x,z)). [para(5385(a,1),641(a,1,1,1))]. 6194 K(x \ y,x) * ((y \ 1) \ 1) = T((x \ y) * x,y \ 1). [para(5465(a,2),4990(a,1))]. 6195 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(480(a,1),5493(a,1,1))]. 6196 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(5168(a,1),6195(a,1,1,2))]. 6197 (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). [hyper(18,a,180,a,b,6196,a),flip(a)]. 6199 ((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y). [para(6196(a,1),30(a,2,1)),flip(a)]. 6200 x \ ((y * x) * K(x \ 1,z)) = T(y * K(x \ 1,z),x). [para(6196(a,1),32(a,2,2)),flip(a)]. 6201 T((x / y) * K(y \ 1,z),y) = y \ (x * K(y \ 1,z)). [para(6197(a,1),106(a,1,1))]. 6202 (T(x,y \ 1) / y) * K(y \ 1,x) = x / y. [para(5143(a,1),6197(a,1,1)),flip(a)]. 6203 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(68,a,6202,a)]. 6204 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [para(6203(a,1),3375(a,2))]. 6205 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(15(a,1),6204(a,1,2,2))]. 6206 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [para(6205(a,1),3073(a,2))]. 6207 (((1 / x) \ y) \ y) * x = K(x \ 1,y * x). [para(6205(a,1),5578(a,1)),flip(a)]. 6208 ((1 / x) \ y) * K(x \ 1,y * x) = y / (1 / x). [para(6206(a,1),5221(a,1,2))]. 6209 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(6206(a,1),5432(a,1,2)),flip(a)]. 6210 T(1 / x,y * x) = ((1 / x) \ y) \ y. [hyper(18,a,5267,a,b,6207,a),flip(a)]. 6211 R(T(1 / x,y * x),x,y) = (x * y) \ y. [para(6210(a,2),4868(a,1,1))]. 6212 T(R(1 / x,x,y),y * x) = (x * y) \ y. [para(6211(a,1),42(a,1)),flip(a)]. 6213 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [para(6209(a,1),2931(a,1)),flip(a)]. 6214 x * K((1 / y) \ 1,x * (1 / y)) = y * (x / y). [para(6209(a,1),3070(a,1))]. 6215 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(5971,a,6213,a),flip(a)]. 6216 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [hyper(5600,a,6213,a)]. 6217 x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / y). [para(6213(a,1),3028(a,1))]. 6218 ((x * y) \ x) * (x * y) = x * K(y \ 1,y * x). [para(6215(a,1),5482(a,2,2))]. 6219 ((1 / x) \ y) * K(x \ 1,x * y) = y / (1 / x). [para(6215(a,1),6208(a,1,2))]. 6220 x * K(y,x * (1 / y)) = y * (x / y). [para(59(a,1),6214(a,1,2,1))]. 6221 K(x,y * (1 / x)) = K(x,x \ y). [hyper(17,a,5432,a,b,6220,a)]. 6222 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(6221(a,1),5344(a,1,2)),flip(a)]. 6223 K(x * (1 / y),y) = K(y \ x,y). [para(6222(a,2),5344(a,1))]. 6224 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(57(a,1),6223(a,1,1,2)),flip(a)]. 6225 K(x * (y \ 1),y) = K(y \ x,y). [para(6223(a,1),3683(a,1)),flip(a)]. 6226 K(x \ (y / (x \ 1)),x) = K(y,x). [para(16(a,1),6225(a,1,1)),flip(a)]. 6227 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [para(6225(a,1),5326(a,1)),flip(a)]. 6228 K(R(x,y,y \ 1),y) = K(x,y). [para(13(a,1),6227(a,2,1))]. 6230 K(x,y) = T(y,R(x,y,y \ 1)) \ y. [para(6228(a,1),5141(a,1))]. 6231 K(x,y) = ((y * x) * (y \ 1)) \ R(x,y,y \ 1). [para(6230(a,2),3908(a,2)),flip(a)]. 6232 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(6224(a,1),185(a,1,2)),flip(a)]. 6233 K(x * y,y \ 1) = K(y * x,y \ 1). [para(6224(a,1),4558(a,1))]. 6234 T(x \ K(x * y,x \ 1),y * x) = x \ 1. [para(6233(a,1),5243(a,1,1,2))]. 6235 (x * y) * T(x \ 1,y * x) = (x \ 1) * (x * y). [para(6234(a,1),5576(a,1,1)),flip(a)]. 6236 x * K(y,x * (y \ 1)) = y * (x / y). [para(3074(a,1),6217(a,1,2))]. 6237 ((x * (y \ 1)) \ x) * (x * (y \ 1)) = y * (x / y). [para(6217(a,1),5482(a,2))]. 6238 K(x,y * (x \ 1)) = K(x,x \ y). [hyper(17,a,5432,a,b,6236,a)]. 6239 (x / (y \ 1)) * K(y,x) = y * ((x / (y \ 1)) / y). [para(16(a,1),6236(a,1,2,2))]. 6240 x * K(x,x \ (x * y)) = T(x,R(y,x,x \ 1)). [para(6238(a,1),5263(a,1,2))]. 6241 T(x,R(y,x,x \ 1)) = x * K(x,y). [para(13(a,1),6240(a,1,2,2)),flip(a)]. 6242 K(x,R(y,x,x \ 1)) = K(x,y). [hyper(5247,a,6241,a)]. 6243 K(x,y) = x \ T(x,R(y,x,x \ 1)). [hyper(68,a,6241,a(flip)),flip(a)]. 6244 T(x,R(y,x,x \ 1)) = T(x,y). [para(6241(a,2),5200(a,2)),flip(a)]. 6245 K(x,y) \ ((x * y) * (x \ 1)) = R(y,x,x \ 1). [para(6242(a,1),5457(a,1,1))]. 6246 T(x,y * (x \ 1)) = T(x,y / x). [para(346(a,1),6244(a,1,2))]. 6247 T(x,y * (x \ 1)) = T(x,x \ y). [para(6246(a,2),4285(a,1))]. 6248 T(x,x \ (y / (x \ 1))) = T(x,y). [para(16(a,1),6247(a,1,2)),flip(a)]. 6249 T(x,y) = (x \ (y / (x \ 1))) \ (y / (x \ 1)). [para(6248(a,1),105(a,1))]. 6250 K(x,y) = R(y,x,x \ 1) \ ((x * y) * (x \ 1)). [para(6243(a,2),3902(a,2)),flip(a)]. 6251 K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). [para(6245(a,1),5336(a,1)),flip(a)]. 6252 ((1 / ((1 / x) * (x / y))) \ y) * K(((1 / x) * (x / y)) \ 1,a(1 / x,x / y,y)) = y / (1 / ((1 / x) * (x / y))). [para(613(a,1),6219(a,1,2,2))]. 6253 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). [para(14(a,1),6232(a,2,2,1))]. 6254 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(131,a,6235,a),flip(a)]. 6255 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(17,a,4414,a,b,6235,a)]. 6256 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(6254(a,1),1735(a,1,2,1,1))]. 6257 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(6254(a,2),1735(a,1,1))]. 6258 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(14(a,1),6255(a,1,2))]. 6259 x / T((x \ y) \ 1,y) = ((x \ y) \ 1) \ x. [para(6258(a,2),57(a,1,2))]. 6260 T(((x \ y) \ 1) \ x,(x \ y) \ 1) = T((x \ y) \ 1,y) \ x. [para(6258(a,2),4294(a,2,1))]. 6261 x \ ((y * x) * K(x \ 1,x)) = x * (T((x \ 1) \ 1,y) \ y). [para(6200(a,2),4745(a,1))]. 6262 T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). [para(5546(a,2),3029(a,1))]. 6263 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y,x). [para(5337(a,1),5594(a,2,2))]. 6264 T(T(x,y),z) \ T(T(x,u),z) = K(y,T(x,z)) * K(T(x,z),u). [para(38(a,1),5683(a,1,1))]. 6265 (1 / x) * T(K(x \ 1,y),z) = T(K(x \ 1,y),z) / x. [para(5267(a,1),5684(a,1,1,1)),flip(a)]. 6266 T(K(x \ 1,y),z) * (1 / x) = T(K(x \ 1,y),z) / x. [para(6265(a,1),3110(a,2))]. 6267 T(K(x \ 1,y),z) \ (T(K(x \ 1,y),z) / x) = 1 / x. [hyper(68,a,6266,a)]. 6268 (T(K(x \ 1,y),z) * (((1 / x) \ 1) \ 1)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(6267(a,1),5495(a,1,1,2,1,1))]. 6269 K(x \ y,y \ x) * T(x \ y,z) = T(T(x \ y,z),y \ x). [para(5687(a,1),5728(a,1)),flip(a)]. 6270 (((x * y) * L(T(T(x,y) \ z,y),T(x,y),y)) / z) \ y = K(y,((y * T(x,y)) / z) \ y). [para(314(a,2),5689(a,1,1,1))]. 6271 ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). [para(1793(a,1),5807(a,1,1))]. 6272 R(T(x,y),z,x) / T(T(x,y),z) = K(z * x,T(T(x,y),z)). [para(6080(a,1),5863(a,1,1))]. 6273 R(x,x \ 1,(x \ 1) \ (x \ y)) = (y / x) \ ((x \ 1) \ (x \ y)). [para(5895(a,1),375(a,2))]. 6275 ((T(x \ 1,y) * x) * z) \ ((K(x \ 1,x) * z) * K(x \ 1,y)) = K(K(x \ 1,x) * z,K(x \ 1,y)). [para(5943(a,1),26(a,2,1)),flip(a)]. 6276 ((K(x \ 1,x) * y) * K(x \ 1,z)) \ ((T(x \ 1,z) * x) * y) = K(K(x \ 1,z),K(x \ 1,x) * y). [para(5943(a,1),26(a,2,2)),flip(a)]. 6277 (K(x \ 1,x) * y) * K(x \ 1,z) = y * (T(x \ 1,z) * x). [hyper(3751,a,5944,a),flip(a)]. 6278 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5486(a,2),6023(a,1,2))]. 6279 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(5788(a,1),6023(a,1,2)),flip(a)]. 6280 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3074(a,1),6077(a,2,1))]. 6282 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(32(a,2),6280(a,1,2,2))]. 6285 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(4446(a,1),6095(a,1,2))]. 6286 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(4446(a,1),6096(a,1,2))]. 6287 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(59(a,1),6097(a,2,1,1))]. 6288 (1 / x) \ (K(x,y) * z) = K(x,y) * ((1 / x) \ z). [hyper(68,a,6287,a)]. 6289 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(13(a,1),6287(a,1,2,2)),flip(a)]. 6290 (1 / x) \ (y * K(x,y)) = K(x,y) * ((1 / x) \ y). [para(3159(a,1),6288(a,1,2))]. 6291 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(74,a,6289,a(flip))]. 6292 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [para(6289(a,2),32(a,2,2)),flip(a)]. 6293 K(x \ 1,y) * ((1 / (x \ 1)) \ y) = x \ (y * K(x \ 1,y)). [para(57(a,1),6290(a,1,1)),flip(a)]. 6294 ((x / y) * K(z,x / y)) * y = x * K(z,(x \ y) \ 1). [para(6117(a,2),6009(a,1))]. 6295 (x * K(y,(x \ z) \ 1)) / z = (x / z) * K(y,x / z). [hyper(74,a,6294,a)]. 6296 K((((x / y) \ 1) * (y \ 1)) \ 1,z) = ((x / y) \ T(x,z)) * (y \ 1). [para(16(a,1),6119(a,2,1,2,1))]. 6297 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(5016,a,6121,a)]. 6298 K((((x \ 1) \ 1) \ ((x \ 1) \ y)) \ 1,x) = K(y \ 1,x). [para(6128(a,2),3441(a,1))]. 6299 K((x \ ((1 / x) \ y)) \ 1,x) = K(y \ 1,x). [para(2700(a,1),6298(a,1,1,1))]. 6300 K(x,y) * ((y \ 1) * z) = (y \ 1) * (K(x,y) * z). [para(3596(a,1),6179(a,1,2,1)),flip(a)]. 6303 K(x,y) * ((y \ 1) * (z * K(y,x))) = (y \ 1) * T(z,K(y,x)). [para(5354(a,1),6300(a,2,2))]. 6304 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(6188(a,1),145(a,1)),flip(a)]. 6305 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5752(a,1),6192(a,1,2)),flip(a)]. 6306 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [para(6305(a,2),5398(a,1))]. 6307 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(14(a,1),6306(a,1,1,1)),flip(a)]. 6308 x * (T((x \ 1) \ 1,y) \ y) = x \ (y * (1 / (1 / x))). [para(2559(a,1),6261(a,1,2)),flip(a)]. 6309 K(T(x \ y,z),y \ x) = K(x \ y,y \ x). [hyper(18,a,5214,a(flip),b,6269,a),flip(a)]. 6310 (x \ y) * K(T(y \ x,z),x \ y) = 1 / (1 / (x \ y)). [para(6309(a,2),2573(a,1,2))]. 6311 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(68,a,6278,a)]. 6312 T(x * K(y \ 1,y),z) = T(x,z) * K(y \ 1,y). [hyper(5052,a,6279,a)]. 6313 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6279(a,2),19(a,1))]. 6316 x \ T(y * K(z \ 1,z),u) = (x \ T(y,u)) * K(z \ 1,z). [para(6312(a,2),4818(a,1,2))]. 6318 K((x \ 1) \ 1,y) * ((1 / ((x \ 1) \ 1)) \ y) = (x \ 1) \ (y * K(x,y)). [para(3074(a,1),6293(a,2,2,2))]. 6319 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6311(a,1),4970(a,1,1))]. 6320 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(13(a,1),6319(a,1,1,2,1)),flip(a)]. 6321 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6320(a,2),20(a,1))]. 6322 T(x * ((1 / (1 / y)) / x),K(z,y)) != y * u | (y \ 1) * (x * (y / x)) = u. [para(5094(a,2),361(a,1))]. 6323 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(5168(a,1),5502(a,2,2,2))]. 6324 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(4875,a,6323,a),flip(a)]. 6325 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(306,a,6323,a)]. 6326 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,(x \ 1) \ 1). [hyper(17,a,5917,a,b,6323,a),flip(a)]. 6327 (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. [para(6323(a,1),19(a,1)),flip(a)]. 6328 (x * y) * K(((x * y) \ z) \ 1,u) = x * (y * K((y \ (x \ z)) \ 1,u)). [para(171(a,1),6323(a,1,2,1,1))]. 6329 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [para(6324(a,1),859(a,2))]. 6330 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1637(a,1),6325(a,1,1)),flip(a)]. 6331 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(3073(a,2),6325(a,1,1))]. 6332 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3074(a,1),6325(a,1,1)),flip(a)]. 6333 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(6325(a,1),4785(a,1,1))]. 6334 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(5332(a,1),6325(a,1,1,1)),flip(a)]. 6335 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6089(a,1),6325(a,1,1)),flip(a)]. 6336 K(L(T(x \ 1,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6090(a,1),6325(a,1,1)),flip(a)]. 6337 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(6332(a,1),5332(a,1,1)),flip(a)]. 6338 K(x,x \ L(K(y,x),z,u)) = K(x,x \ 1). [para(6332(a,1),5246(a,1,2,2))]. 6339 K(x,L(y \ 1,z,u) \ 1) / (1 / x) = 1 / (L(K(y,x),z,u) / x). [para(6332(a,1),5688(a,2,2,1))]. 6340 T(x * K(L(y \ 1,z,u) \ 1,x),w) = T(x,w) * L(K(y,T(x,w)),z,u). [para(6332(a,1),5672(a,1,2)),flip(a)]. 6341 K(x,x \ 1) / (L(K(y,x),z,u) / x) = 1 / (x \ L(K(y,x),z,u)). [para(6338(a,1),5550(a,1,1))]. 6342 L(x,K(L(y \ 1,z,u) \ 1,w),L(K(y,w),z,u) \ 1) = x. [para(6337(a,1),5335(a,1,3))]. 6343 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(6329(a,1),14(a,1,2))]. 6345 K(x,L(T(y \ 1,z),u,w) \ 1) * v5 = L(T(K(y,x),z),u,w) \ v5. [para(6336(a,1),5336(a,1,1)),flip(a)]. 6346 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(6343(a,1),2398(a,1,1))]. 6347 L(x,L(K(y,z),u,w),L(K(y,z),u,w) \ 1) = x. [para(6332(a,1),6342(a,1,2))]. 6348 1 / L(K(x,y),z,u) = L(K(x,y),z,u) \ 1. [para(6347(a,1),1388(a,1)),flip(a)]. 6349 x / (L(K(y,z),u,w) * x) = 1 / L(K(y,z),u,w). [para(6347(a,1),2636(a,1,1))]. 6350 (L(K(x,y),z,u) \ 1) \ 1 = L(K(x,y),z,u). [para(6348(a,1),59(a,1,1))]. 6351 x / (L(K(y,z),u,w) * x) = L(K(y,z),u,w) \ 1. [para(6349(a,2),6348(a,1))]. 6352 (L(K(x,y),z,u) \ 1) \ w = L(K(x,y),z,u) * w. [para(6351(a,1),59(a,1,1))]. 6354 R((x \ 1) / (y \ T(x \ 1,z)),y \ T(x \ 1,z),K(x,x \ 1)) = (1 / x) / (y \ T(1 / x,z)). [para(4140(a,1),5549(a,2,2))]. 6355 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5336(a,1),5601(a,1,1))]. 6356 K(L(x,y,x),y) = K(x,y). [hyper(5641,a,5382,a)]. 6357 K(T(x,x * y),y) = K(x,y). [para(6356(a,1),5324(a,2))]. 6358 K(T(x,y * x),y) = K(x,y). [para(4462(a,2),6357(a,1,1))]. 6359 T(x * K(y,x),T(y,y * x)) = x. [para(6357(a,1),5171(a,1,1,2))]. 6360 K(x,x \ y) * (((1 / y) * (x \ y)) * x) = a(1 / y,x \ y,x). [para(5648(a,1),5336(a,1)),flip(a)]. 6361 K(x * y,(x * y) \ y) = K(y * x,x \ 1). [hyper(5755,a,6232,a)]. 6362 R(x * K(y,x),z,u) * (z * u) = K(y,R(x,z,u)) * ((x * z) * u). [para(5783(a,1),4669(a,1))]. 6363 L(K(x,T(y,z)),T(y,z),z) = (y * z) \ ((y * K(x,y)) * z). [para(104(a,1),5853(a,1,2)),flip(a)]. 6364 R(T(K(x,y),y * z),y,z) = L(K(x,T(y,z)),T(y,z),z). [para(6363(a,2),3179(a,1)),flip(a)]. 6365 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [para(6034(a,2),336(a,1))]. 6366 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(803(a,1),6365(a,1,1))]. 6368 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [para(6366(a,1),4449(a,1))]. 6369 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = x. [hyper(68,a,6368,a)]. 6370 L(R(x,y,x),y,R(x,y,x)) = x. [para(6369(a,1),4589(a,1)),flip(a)]. 6371 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(5089(a,2),6100(a,1,2))]. 6372 R((x \ y) * x,((x \ y) * x) \ 1,(((x \ y) * x) \ 1) \ K(x,x \ y)) = (y / ((x \ y) * x)) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)). [para(84(a,1),6273(a,1,3,2))]. 6373 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4464(a,1),6307(a,1,1)),flip(a)]. 6374 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [para(6373(a,2),3952(a,1))]. 6375 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(18,a,5402,a,b,6374,a)]. 6377 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [para(6375(a,2),5656(a,2)),flip(a)]. 6378 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4447(a,1),6377(a,1,2))]. 6379 x / R(y,y \ x,y) = K(y,x) * (y \ x). [para(6377(a,2),5724(a,1))]. 6380 x / ((y \ x) \ T(x,y)) = K(y,x) * (y \ x). [para(4447(a,1),6379(a,1,2))]. 6381 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(6378(a,1),59(a,1,1))]. 6382 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5656(a,1),6381(a,1,1))]. 6383 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(5172(a,2),6382(a,1,1,2))]. 6384 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [para(6330(a,2),237(a,1))]. 6386 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(727(a,1),6384(a,1,2))]. 6387 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(37,a,6386,a)]. 6388 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(35,a,6387,a)]. 6389 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(729(a,2),6388(a,1,1))]. 6390 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(6389(a,1),4256(a,1,2)),flip(a)]. 6391 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [para(6390(a,2),2342(a,1))]. 6392 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(729(a,1),6391(a,1,1))]. 6393 K(x,x \ y) * (((1 / y) * (x \ y)) * x) = a(y \ 1,x \ y,x). [para(6360(a,2),4146(a,1))]. 6394 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [para(6371(a,1),89(a,1)),flip(a)]. 6395 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(3990(a,1),6394(a,1,2)),flip(a)]. 6401 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(3596(a,1),6395(a,1,1,2))]. 6403 (x * K(y,z)) * y = x * T(y,z). [para(2935(a,1),6401(a,2,2))]. 6404 R(x,K(y,z),y) = x. [hyper(5288,a,6403,a)]. 6405 (x * T(y,z)) / y = x * K(y,z). [hyper(74,a,6403,a)]. 6406 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(68,a,6403,a)]. 6407 x / R(y,y \ x,y) = (y \ x) * K(y,x). [hyper(18,a,6374,a,b,6403,a),flip(a)]. 6408 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(18,a,1227,a,b,6403,a)]. 6409 (x * y) * K(y,z) = x * T(y,z). [hyper(18,a,1182,a,b,6403,a)]. 6410 (x / y) * T(y,z) = x * K(y,z). [hyper(18,a,1167,a,b,6403,a),flip(a)]. 6411 T(x * y,x) * K(x,y) = R(x,y,x) * y. [hyper(18,a,6366,a(flip),b,6403,a)]. 6412 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(18,a,6073,a(flip),b,6403,a)]. 6413 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6403(a,1),24(a,2,1,2)),flip(a)]. 6414 x * T(y * K(x,z),x) = y * T(x,z). [para(6403(a,1),104(a,2))]. 6417 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [para(6403(a,2),3164(a,2)),flip(a)]. 6419 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(5156(a,1),6403(a,1,1))]. 6420 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6403(a,1),5926(a,1,2,1))]. 6423 (x / T(y,z)) * K(y,z) = x / y. [para(16(a,1),6405(a,1,1)),flip(a)]. 6425 L(x,K(x,y),z) = x. [para(6406(a,1),5262(a,1)),flip(a)]. 6426 (x * K(y,z)) * R(y,u,w) = x * (K(y,z) * R(y,u,w)). [para(6425(a,1),312(a,1,2,1))]. 6427 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6425(a,1),313(a,1,2,1))]. 6431 (x * K(y,z)) \ (x * y) = y * K(z,y). [para(6425(a,1),6047(a,1)),flip(a)]. 6432 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(5963,a,6409,a)]. 6433 R(x,y,K(y,z)) = x. [hyper(5253,a,6409,a)]. 6434 (x * K(y,z)) / T(y,z) = x / y. [hyper(428,a,6409,a)]. 6435 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(68,a,6409,a)]. 6436 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(17,a,215,a(flip),b,6409,a),flip(a)]. 6437 x * T(x \ y,z) = y * K(x \ y,z). [para(14(a,1),6409(a,1,1)),flip(a)]. 6438 (x * y) * K(y,z) != x * u | T(y,z) = u. [para(6409(a,2),19(a,1))]. 6440 (x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x). [para(6409(a,1),28(a,2,2,2)),flip(a)]. 6441 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [para(6409(a,1),32(a,2,2)),flip(a)]. 6443 (T(x,y) * y) * K(y,x) = x * y. [para(6409(a,2),4316(a,1))]. 6444 (K(x,x \ 1) * y) * K(y,z) = T(K(x,x \ 1) * y,z). [para(6409(a,2),5048(a,2)),flip(a)]. 6445 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(5134(a,1),6409(a,1,1)),flip(a)]. 6446 ((x * y) / x) * K(y,z) = K(x,y) * T(y,z). [para(5220(a,2),6409(a,1,1))]. 6450 (x * R(R(x,y,K(y,z)) \ (x * y),u,w)) * K(y,z) = R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)). [para(6433(a,1),2295(a,1,1,1))]. 6451 (L(x,y,z) * K(x,u)) / (x * K(x,u)) = x \ L(x,y,z). [para(6433(a,1),5077(a,1)),flip(a)]. 6452 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(68,a,6410,a)]. 6453 T(x,y) \ (z * K(x,y)) = T(z / x,T(x,y)). [para(6410(a,1),32(a,2,2)),flip(a)]. 6455 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6410(a,1),644(a,1,2,1))]. 6456 x \ T(x * K(y \ 1,y),y) = T(K(y \ 1,y) * K(x,y),x). [para(6410(a,1),3062(a,1,1)),flip(a)]. 6457 T(x,x \ T(y,z)) * K(y,z) = (x / y) * T(x * (y / x),z). [para(6410(a,1),5054(a,1))]. 6458 (x * K(y,z)) / y = (x / y) * K(y,z). [para(6410(a,1),6405(a,1,1))]. 6459 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(68,a,6412,a),flip(a)]. 6460 x * K(y,z) != y \ z | y \ T(z,y) = x. [para(6412(a,1),20(a,1)),flip(a)]. 6462 (x \ T(x * y,x)) * K(x,y) = T(x * y,x) / x. [para(4702(a,1),6423(a,1,1))]. 6463 (x / (R(y,z,y) * z)) * K(T(y,z) * z,y) = x / (T(y,z) * z). [para(4734(a,1),6423(a,1,1,2))]. 6464 K((x \ y) \ 1,z) = K(y \ x,z). [para(14(a,1),6432(a,1,1,1,1))]. 6468 (x * K(y,L(z,z \ y,z))) / T(y,z) = x / y. [para(6134(a,1),6434(a,1,2))]. 6469 x \ (y * T(y \ x,z)) = K(y \ x,z). [para(14(a,1),6435(a,1,1))]. 6472 L(K(x,y),x,z) = K(x,y). [para(6435(a,1),5204(a,1)),flip(a)]. 6473 L(R(K(x,y),z,u),x,w) = R(K(x,y),z,u). [para(6472(a,1),44(a,1,1)),flip(a)]. 6474 (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). [para(6472(a,1),311(a,1,2,1))]. 6475 (x \ 1) * T(K(x \ 1,y),z) = x \ T(K(x \ 1,y),z). [para(6472(a,1),389(a,1,2,1)),flip(a)]. 6476 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6472(a,1),393(a,1,2,1))]. 6477 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * (z * K(z,u))) / ((y * z) * K(z,u)). [para(6472(a,1),818(a,1,2,2)),flip(a)]. 6481 (x * y) / K(y,x) = T(x,y) * y. [hyper(74,a,6443,a)]. 6482 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6452(a,1),5901(a,1,2))]. 6483 T(x,y) / ((z / x) \ T(z * K(x,y),(z / x) \ 1)) = K((z / x) \ 1,z * K(x,y)). [para(6452(a,1),5902(a,1,1))]. 6484 K((x * y) \ x,z) = K(y \ 1,z). [para(13(a,1),6464(a,1,1,1)),flip(a)]. 6485 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(32(a,2),6464(a,1,1,1))]. 6489 K(((x / y) * x) \ (y * (x / y)),z) = K(T(y \ x,x) \ 1,z). [para(4597(a,1),6464(a,1,1,1)),flip(a)]. 6491 ((x * ((y \ z) \ 1)) / x) * K(z \ y,x) = (y \ z) \ 1. [para(6464(a,1),5163(a,1,2))]. 6492 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [para(6464(a,1),5332(a,1,1)),flip(a)]. 6493 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5336(a,1),6464(a,1,1,1))]. 6495 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [para(6464(a,1),5790(a,2,2))]. 6496 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(6464(a,1),5791(a,1,2))]. 6497 K(((1 / x) \ y) \ x,x) = K(y \ 1,x). [para(6464(a,1),6299(a,1))]. 6501 K(((x * y) / x) \ 1,x) = K(y \ 1,x). [para(6484(a,1),6018(a,2))]. 6503 (x * K(x \ y,z)) \ y = (x \ y) * K(z,x \ y). [para(14(a,1),6431(a,1,2))]. 6504 (x * y) / (y * K(z,y)) = x * K(y,z). [para(6431(a,1),57(a,1,2))]. 6505 x / (y * K(z,y)) = (x / y) * K(y,z). [para(6431(a,1),217(a,1,2))]. 6506 ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = (x * K(y,z)) * (y * L(y \ (y * K(z,y)),u,w)). [para(6431(a,1),1096(a,1,2,2,1,2)),flip(a)]. 6507 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(((x * K(y,z)) \ (x * y)) \ y,u,w). [para(6431(a,1),1279(a,1,1)),flip(a)]. 6514 x \ (y \ T(y * x,z)) = K((y \ 1) \ x,z). [para(604(a,1),6469(a,1,2))]. 6515 K((x \ 1) \ (x \ y),z) = (x \ y) \ (x \ T(y,z)). [para(643(a,1),6469(a,1,2)),flip(a)]. 6518 K((x * y) \ y,T(x,z)) = K(x \ 1,x). [para(6485(a,1),3398(a,1))]. 6519 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [para(6485(a,1),6090(a,1))]. 6520 K(x,(y \ z) \ 1) = K(x,z \ y). [para(6492(a,2),5332(a,1))]. 6521 K(x,(y * z) \ y) = K(x,z \ 1). [para(13(a,1),6520(a,1,2,1)),flip(a)]. 6522 K(x,((y * z) \ y) \ 1) = K(x,z). [para(13(a,1),6520(a,2,2))]. 6524 K(x,y \ (y / z)) = K(x,z \ 1). [para(59(a,1),6520(a,1,2,1)),flip(a)]. 6525 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(455(a,1),6520(a,1,2,1)),flip(a)]. 6526 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). [para(871(a,1),6520(a,1,2,1))]. 6528 K(x,1 / (y \ z)) = K(x,z \ y). [para(6520(a,1),3597(a,2))]. 6530 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5336(a,1),6520(a,1,2,1))]. 6531 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6520(a,1),5939(a,1,2))]. 6532 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(6520(a,1),6172(a,2,2))]. 6533 (x * K(y,z \ x)) / z = (x / z) * K(y,x / z). [para(6520(a,1),6295(a,1,1,2))]. 6534 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). [para(6520(a,1),6253(a,2,2))]. 6535 (((x * y) \ x) * (x * y)) \ 1 = x \ K(x * y,y \ 1). [para(6521(a,1),5876(a,2,2))]. 6536 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [para(6522(a,1),6224(a,2))]. 6537 K(((1 / x) * y) \ 1,x) = K(y \ x,x). [para(13(a,1),6497(a,1,1,1)),flip(a)]. 6538 (x * y) / ((z * y) / z) = x * K(y,z). [para(5172(a,2),6504(a,1,2))]. 6541 x / ((y * z) / y) = (x / z) * K(z,y). [para(5172(a,2),6505(a,1,2))]. 6542 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(5221(a,1),6505(a,1,2)),flip(a)]. 6544 K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(100(a,1),6518(a,1,1,1))]. 6547 K(((x \ 1) * y) \ y,(x \ 1) * y) = K(x,x \ y). [para(6519(a,2),5695(a,1))]. 6549 (x / (y * K(z,y))) * y = x * K(y,z). [para(6538(a,1),5387(a,1)),flip(a)]. 6550 1 / (x * K(y,x)) = K(x,y) / x. [hyper(18,a,174,a,b,6549,a)]. 6552 (x / (y / z)) * (z \ y) = x * K(z \ y,z). [para(5221(a,1),6549(a,1,1,2))]. 6553 (K(x,y) / x) \ 1 = x * K(y,x). [para(6550(a,1),59(a,1,1))]. 6554 K(x,y) / x = 1 / ((y * x) / y). [para(5172(a,2),6550(a,1,2)),flip(a)]. 6555 (K(x,y) / x) * T(x * K(y,x),z) = K(x * K(y,x),z). [para(6550(a,1),5268(a,2,1)),flip(a)]. 6556 K(x,y) \ (1 / y) = K(y,x) / y. [para(6550(a,1),5970(a,1)),flip(a)]. 6557 T(1 / ((x * y) / x),y) = y \ K(y,x). [para(6554(a,1),106(a,1,1))]. 6558 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(516(a,1),6554(a,2,2))]. 6559 K(1 / x,y) / (1 / x) = 1 / (K(y,x \ 1) / x). [para(5663(a,2),6554(a,2,2))]. 6560 K(x \ 1,y) / (x \ 1) = K(y,x \ 1) \ x. [para(57(a,1),6556(a,1,2)),flip(a)]. 6561 K(x,y) * (1 / x) = K(x,y) / x. [para(6556(a,1),5336(a,1)),flip(a)]. 6562 ((x * y) / x) * T(T(((x * y) / x) \ 1,y),z) = T(y \ K(y,x),z) * ((x * y) / x). [para(6557(a,1),288(a,1,1,1)),flip(a)]. 6563 K(x,y) * (x \ y) = (x \ y) * K(x,y). [para(6407(a,1),6379(a,1)),flip(a)]. 6565 K(x,y) * z != (x * y) * K(y * x,u) | T(y * x,u) = z. [para(5134(a,1),6438(a,1,1)),flip(a)]. 6566 (x / y) * (y * R(K(y,z),u,w)) = x * R(K(y,z),u,w). [para(6473(a,1),305(a,1,2)),flip(a)]. 6567 T(x,x \ 1) * K(y,x) = (x * (K(y,x) / x)) * x. [para(3449(a,1),6417(a,1,1)),flip(a)]. 6569 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6493(a,1),6086(a,2,1))]. 6570 x \ T(x * y,z) != y * u | K((x \ 1) \ y,z) = u. [para(6495(a,2),19(a,1))]. 6571 T(x * L(x \ (x * y),z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). [para(6495(a,1),1105(a,2,2,1))]. 6572 (x / y) * K((y \ 1) \ (x / y),z) = T(x,z) / y. [para(6495(a,1),4952(a,1))]. 6573 (x * K((y \ 1) \ x,z)) * y = T(x * y,z). [para(6495(a,1),4970(a,1,1))]. 6574 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6495(a,1),4971(a,1,1))]. 6575 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [para(6495(a,1),4955(a,1)),flip(a)]. 6576 K(((x / y) \ 1) \ y,z) = y \ ((x / y) \ T(x,z)). [para(16(a,1),6514(a,1,2,2,1)),flip(a)]. 6577 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,u \ K(z,y)). [para(5175(a,2),6530(a,1,2,1))]. 6578 x * ((y * (x \ z)) / y) != z * u | K(y,x \ z) = u. [para(6531(a,1),19(a,1))]. 6579 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [para(6531(a,2),1571(a,1)),flip(a)]. 6581 K(x,y / z) * y = y * K(x,z \ y). [para(5838(a,1),6532(a,1,1))]. 6582 K(x,x / y) = K(x,y \ x). [hyper(18,a,3082,a,b,6581,a)]. 6583 K(x,L(x,y,z) / u) = K(x,u \ L(x,y,z)). [hyper(18,a,3094,a(flip),b,6581,a)]. 6584 x * K(y,z \ x) != u * x | K(y,x / z) = u. [para(6581(a,1),20(a,1))]. 6585 K(x,(y \ x) \ x) = K(x,y). [para(57(a,1),6582(a,1,2)),flip(a)]. 6586 K(x,x / (x / y)) = K(x,y). [para(59(a,1),6582(a,2,2))]. 6589 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [para(15(a,1),6552(a,1,1)),flip(a)]. 6591 x * K(y \ z,y) != u * (y \ z) | u * (z / y) = x. [para(6589(a,1),20(a,1)),flip(a)]. 6592 (x * K(x \ y,x)) / T(y,x) = L(x,x \ y,x) / y. [para(6054(a,1),6468(a,1,1))]. 6593 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(6474(a,1),5346(a,1,2))]. 6594 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = ((x * L(K(x,y),z,u)) * (1 / x)) / L(K(x,y),z,u). [para(6476(a,1),5467(a,1,1,1)),flip(a)]. 6595 (L(K(x,y),z,u) / (1 / x)) * K(x * L(K(x,y),z,u),x \ 1) = x * L(K(x,y),z,u). [para(6476(a,1),5471(a,2))]. 6596 L(K((x \ 1) \ (x \ y),z),x \ y,(x \ y) \ 1) / (x \ T(y,z)) = 1 / (x \ y). [para(6496(a,1),2636(a,1,2))]. 6597 ((x \ y) \ (x \ T(y,z))) * K(z,(x \ 1) \ (x \ y)) = 1. [para(6515(a,1),5333(a,1,1))]. 6598 x / R(1 / (y \ 1),y \ 1,x) = ((y \ 1) * x) * K(y,y \ x). [para(6547(a,1),5113(a,1,2)),flip(a)]. 6599 R(x,x \ K(y,x),x) = T(x,x \ 1). [hyper(18,a,4592,a,b,6567,a),flip(a)]. 6600 R(x,T(x,y) \ 1,x) = T(x,x \ 1). [para(5151(a,2),6599(a,1,2))]. 6601 R(T(x,y),T(x,z) \ 1,x) = T(T(x,x \ 1),y). [para(6600(a,1),42(a,2,1))]. 6602 T(T(x,x \ 1),y) \ x = (T(x,y) \ 1) * x. [para(6601(a,1),273(a,1,1))]. 6603 T((x \ 1) \ 1,y) \ x = (T(x,y) \ 1) * x. [para(105(a,1),6602(a,1,1,1))]. 6604 (T(x,y) / z) / K((z \ 1) \ (x / z),y) = x / z. [hyper(74,a,6572,a)]. 6605 T((x / y) * K((L(y,z,u) \ 1) \ (x / y),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(1037(a,1),6574(a,2,2))]. 6606 K(x,((y \ z) \ 1) \ y) * ((T(z,x) / (y \ z)) / y) = K(y,K(((y \ z) \ 1) \ y,x)). [para(6575(a,2),5450(a,1,2,1))]. 6607 (T(K(((x \ y) \ 1) \ x,z),x) \ 1) * K(((x \ y) \ 1) \ x,z) = (K(((x \ y) \ 1) \ x,z) \ 1) * ((T(y,z) / (x \ y)) / x). [para(6575(a,2),5903(a,1,2,1)),flip(a)]. 6608 T(x * K(((x \ y) \ 1) \ x,z),K(((x \ y) \ 1) \ x,z) \ 1) = ((T(y,z) / (x \ y)) \ x) \ x. [para(6575(a,2),5985(a,2,1,1))]. 6609 (K(x,x \ (y / z)) * (y / z)) * z = y * K(x,(x * z) \ y). [para(5227(a,2),6579(a,1,1))]. 6610 K(K(x,x \ 1) * y,z) = K(y,z). [hyper(17,a,5200,a(flip),b,6444,a),flip(a)]. 6611 K(K(x \ 1,x) * y,z) = K(y,z). [para(1352(a,1),6610(a,1,1,1))]. 6613 K(((x \ 1) \ 1) * y,z) = K(x * y,z). [para(2615(a,1),6610(a,1,1))]. 6614 K(T(x,x \ 1) \ y,z) = K(x \ y,z). [para(2624(a,1),6610(a,1,1)),flip(a)]. 6615 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(2625(a,1),6610(a,1,1)),flip(a)]. 6617 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(2695(a,1),6610(a,1,1)),flip(a)]. 6618 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(2719(a,1),6610(a,1,1))]. 6619 K(x * K(y \ 1,y),z) = K(x,z). [para(2964(a,1),6610(a,1,1)),flip(a)]. 6620 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(3002(a,1),6610(a,1,1))]. 6621 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(3006(a,1),6610(a,1,1))]. 6623 K(((1 / x) * y) * z,u) = K(((x \ 1) * y) * z,u). [para(3828(a,1),6610(a,1,1))]. 6624 K(x \ T(y,y \ 1),z) = K(x \ y,z). [para(4111(a,1),6610(a,1,1))]. 6625 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4884(a,1),6610(a,1,1))]. 6626 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4902(a,2),6610(a,1,1))]. 6627 K(x * (y * (1 / z)),u) = K(x * (y * (z \ 1)),u). [para(4914(a,1),6610(a,1,1))]. 6629 K((x \ 1) * (x * y),z) = K(L(y,x,x \ 1),z). [para(315(a,1),6611(a,1,1))]. 6631 K((x / (1 / y)) * z,u) = K((x / (y \ 1)) * z,u). [para(3810(a,1),6611(a,1,1))]. 6632 K(x \ K(y \ 1,y),z) = K(x \ 1,z). [para(4904(a,1),6611(a,1,1))]. 6633 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4920(a,2),6611(a,1,1))]. 6634 K((x \ K(y \ 1,y)) * z,u) = K((x \ 1) * z,u). [para(4910(a,1),6611(a,1,1))]. 6635 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(4921(a,1),6611(a,1,1))]. 6636 K((((x \ 1) \ 1) * y) \ z,u) = K((x * y) \ z,u). [para(4940(a,1),6611(a,1,1))]. 6637 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(4941(a,1),6611(a,1,1))]. 6638 K(x / (K(y,y \ 1) * z),u) = K(x / z,u). [para(5045(a,2),6611(a,1,1))]. 6639 K(x * (((x \ y) \ 1) \ 1),z) = K(y,z). [para(1982(a,1),6619(a,1,1))]. 6640 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(4883(a,1),6619(a,1,1)),flip(a)]. 6641 K(x * K(L(y,z,u) \ 1,y),w) = K(x,w). [para(6324(a,2),6619(a,1,1,2))]. 6643 K(R(T(x,x \ 1),y,z) \ u,w) = K(R(x,y,z) \ u,w). [para(3635(a,2),6615(a,1,1,1))]. 6644 K((x \ 1) * y,y) = K(x \ y,y). [para(6615(a,1),6021(a,1)),flip(a)]. 6645 K(x * (y \ 1),x) = K(y \ x,x). [para(6615(a,1),6022(a,1)),flip(a)]. 6646 K((1 / x) \ y,y) = K(x * y,y). [para(59(a,1),6644(a,1,1,1)),flip(a)]. 6647 K((1 / x) \ y,y) = K(y * x,y). [para(59(a,1),6645(a,1,1,2)),flip(a)]. 6648 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(5584(a,1),6645(a,1,1,2)),flip(a)]. 6649 R(x * K(y \ x,x),z,u) \ R(x,z,u) = K(R(x,z,u),x * (y \ 1)). [para(6645(a,1),5780(a,1,1,1,2))]. 6650 K(x * ((1 / x) * y),(1 / x) * y) = K(y,(1 / x) * y). [para(13(a,1),6646(a,1,1)),flip(a)]. 6651 K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). [para(2905(a,2),6620(a,1,1,2))]. 6652 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3631(a,1),6620(a,1,1,2)),flip(a)]. 6653 K((T(x,x \ 1) \ y) \ 1,z) = K(y \ x,z). [para(6624(a,1),6464(a,2))]. 6654 (1 / x) * K(y \ (x \ 1),y) = (y \ (1 / x)) * y. [para(6625(a,1),185(a,1,2))]. 6655 (1 / x) \ ((y \ (x \ 1)) * y) = (x \ K(y \ (x \ 1),y)) * x. [para(6625(a,1),4996(a,2,1,2))]. 6656 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(6625(a,1),6575(a,2,2))]. 6657 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(152(a,1),6632(a,1,1,2))]. 6659 K(x \ ((1 / y) * z),u) = K(x \ ((y \ 1) * z),u). [para(2719(a,1),6626(a,1,1,2))]. 6660 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(3871(a,1),6626(a,1,1,2))]. 6661 K(((1 / (1 / x)) * y) \ z,u) = K((x * y) \ z,u). [para(2647(a,1),6633(a,1,1,1)),flip(a)]. 6662 K(((1 / x) / y) \ z,u) = K(((x \ 1) / y) \ z,u). [para(3775(a,1),6633(a,1,1,1))]. 6663 K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). [para(4917(a,1),6633(a,1,1,1))]. 6664 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(5017(a,1),6633(a,1,1,1))]. 6665 K(x / ((1 / y) * z),u) = K(x / ((y \ 1) * z),u). [para(2719(a,1),6638(a,1,1,2))]. 6666 K(L(K((x \ (1 / (x \ y))) \ 1,z),x,x \ 1),u) = K((x \ 1) * (T(y,z) / (x \ y)),u). [para(5965(a,2),6629(a,1,1,2)),flip(a)]. 6667 K((x \ K(y \ z,z \ y)) * u,w) = K((x \ 1) * u,w). [para(2568(a,1),6634(a,1,1,1,2))]. 6668 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(2634(a,1),6635(a,1,1,1)),flip(a)]. 6669 (1 / x) * (y * T(y \ x,z)) = K(((x \ 1) * y) \ 1,z). [para(6635(a,1),5946(a,2))]. 6670 K(((x \ 1) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(6635(a,1),6118(a,1))]. 6671 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(14(a,1),6640(a,2,1,2))]. 6673 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2020(a,2),6525(a,1,2))]. 6674 K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). [para(6526(a,1),6577(a,1))]. 6675 K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). [para(14(a,1),6674(a,1,2,1)),flip(a)]. 6676 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). [para(6534(a,2),5432(a,1))]. 6677 T(x,x \ y) / (y \ x) = x * (y / x). [para(6676(a,1),6262(a,2))]. 6678 (x * (y / x)) * (y \ x) = T(x,x \ y). [para(6677(a,1),16(a,1,1))]. 6679 (x \ y) / (y \ (y / x)) = (y / x) * (y / (y / x)). [para(196(a,1),6677(a,1,1))]. 6680 (x \ y) / (y \ (y / x)) = (x \ y) * x. [para(6679(a,2),4568(a,1))]. 6681 ((x \ y) * x) \ (x \ y) = y \ (y / x). [para(6680(a,1),59(a,1,1))]. 6682 L(x \ 1,x,x \ y) = y \ (y / x). [para(6681(a,1),123(a,2))]. 6683 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [para(13(a,1),6682(a,1,3)),flip(a)]. 6684 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [para(6683(a,1),3892(a,1)),flip(a)]. 6685 ((x \ y) * x) \ (y / (y / x)) = L((x \ y) \ 1,x \ y,x). [para(4349(a,1),6683(a,1,2))]. 6686 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(6684(a,1),1740(a,1,1,2))]. 6687 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(1736,a,6686,a)]. 6688 (x * y) \ T(x,y) = (y * x) \ x. [para(6687(a,1),4729(a,1)),flip(a)]. 6689 ((x \ y) * x) \ x = y \ T(x,x \ y). [para(14(a,1),6688(a,1,1)),flip(a)]. 6690 (x * y) \ (y \ (x * y)) = (y * x) \ x. [para(32(a,1),6688(a,1,2))]. 6691 T(x,y) / ((y * x) \ x) = x * y. [para(6688(a,1),57(a,1,2))]. 6692 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(446(a,1),6688(a,1,1))]. 6693 T(R(1 / x,x,y),y * x) = (y * x) \ T(y,x). [para(6688(a,2),6212(a,2))]. 6694 ((x * y) \ y) \ T(y,x) = T(y * x,(x * y) \ y). [para(6691(a,1),106(a,1,1)),flip(a)]. 6695 T(x * y,(y * x) \ x) = T(x * y,y \ 1). [para(6690(a,1),4240(a,1,2))]. 6696 (x * y) * T(R(1 / y,y,x),x * y) = T(x,y). [para(6693(a,2),14(a,1,2))]. 6697 (x * y) * T((x * y) \ T(x,y),z) = T(R(1 / y,y,x),z) * (x * y). [para(6693(a,1),144(a,1,2,1))]. 6698 T(x,y) = R(1 / y,y,x) * (x * y). [para(6696(a,1),104(a,1))]. 6699 T(x,y) / (x * y) = R(1 / y,y,x). [para(6696(a,1),127(a,1,1))]. 6700 R(1 / x,x,y) \ T(y,x) = y * x. [para(6696(a,1),128(a,1,2))]. 6701 (x / (y * x)) \ T(x,y) = x * y. [hyper(482,a,6698,a(flip))]. 6702 T(x,y) = (x / (y * x)) * (x * y). [para(125(a,1),6698(a,2,1))]. 6703 T(x,y) / (x * y) = x / (y * x). [para(6701(a,1),57(a,1,2))]. 6704 ((x \ 1) / (y * (x \ 1))) \ T(1 / x,y) = ((x \ 1) * y) * K(x,x \ 1). [para(6701(a,1),4140(a,1,1)),flip(a)]. 6705 (x / (y * x)) * T(x * y,z) = T(x,y) * K(x * y,z). [para(6702(a,2),6409(a,1,1)),flip(a)]. 6706 T(x,x \ y) / y = x / ((x \ y) * x). [para(14(a,1),6703(a,1,2))]. 6707 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [para(6699(a,1),263(a,2))]. 6708 (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(6699(a,1),1561(a,1,1)),flip(a)]. 6709 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4240(a,1),6706(a,1,1))]. 6710 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(106(a,1),6707(a,1,3)),flip(a)]. 6711 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(6710(a,1),262(a,1,1))]. 6712 ((x \ y) / y) * (x * (y / x)) = y / x. [para(6711(a,1),512(a,1,2))]. 6713 ((x * y) \ y) \ T(y,x) = T(y * x,x \ 1). [para(6694(a,2),6695(a,1))]. 6714 ((x * y) \ y) * T(y * x,x \ 1) = T(y,x). [para(6713(a,1),14(a,1,2))]. 6715 (x \ (T(y,z) / (x \ y))) * T((T(y,z) / (x \ y)) * K(z,x / ((x \ y) \ 1)),K(z,x / ((x \ y) \ 1)) \ 1) = T(T(y,z) / (x \ y),K(z,x / ((x \ y) \ 1))). [para(5889(a,1),6714(a,1,1,1))]. 6716 T(x,y) / ((y \ 1) \ x) = x / ((x \ ((y \ 1) \ x)) * x). [para(2935(a,1),6709(a,1,1))]. 6717 T(x,x \ y) / ((y \ x) \ x) = x / ((x \ ((y \ x) \ x)) * x). [para(5198(a,1),6709(a,1,1))]. 6718 x \ K(x * (y \ 1),(y \ 1) \ 1) = (y * (x / y)) \ 1. [para(6237(a,1),6535(a,1,1)),flip(a)]. 6719 K(x * ((1 / x) * y),(1 / x) * y) = K(y,x \ y). [para(6650(a,2),5865(a,1))]. 6720 K(((1 / x) * y) * x,(1 / x) * y) = K(y,x \ y). [para(6719(a,1),5920(a,1)),flip(a)]. 6721 K((x * ((1 / y) / z)) \ u,w) = K((x * ((y \ 1) / z)) \ u,w). [para(3775(a,1),6663(a,1,1,1,2))]. 6722 K((x * ((T(y,x) \ 1) * y)) \ z,u) = K(T(x,y) \ z,u). [para(5852(a,1),6663(a,1,1,1)),flip(a)]. 6723 K(((x \ 1) * (y \ x)) \ 1,z) = (1 / x) * (K(y,z) * x). [para(5520(a,1),6669(a,1,2)),flip(a)]. 6724 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [para(6716(a,2),59(a,1,1))]. 6725 x \ K(x * (y \ 1),y) = (y * (x / y)) \ 1. [para(3596(a,1),6718(a,1,2))]. 6726 (x * (y / x)) \ 1 = y \ K(x \ y,x). [para(6225(a,1),6725(a,1,2)),flip(a)]. 6727 x * ((y * (x / y)) \ 1) = K(y \ x,y). [para(6726(a,2),14(a,1,2))]. 6728 ((x \ y) * x) \ (y / (y / x)) = y \ x. [para(6685(a,2),248(a,1))]. 6729 x \ T(x * K(y \ 1,y),y) = T((T(y,x) \ 1) * y,x). [para(5653(a,1),6456(a,2,1))]. 6730 (K(x,x \ (y / z)) * (y / z)) * z = K(x,((x * z) / y) \ 1) * y. [para(6609(a,2),6532(a,2)),flip(a)]. 6731 (1 / x) \ ((y \ (x \ 1)) * y) = ((y \ (x \ 1)) * y) * x. [para(5650(a,1),6655(a,2,1))]. 6732 K(x \ 1,x) * K(y \ (x \ 1),y) = ((y \ (x \ 1)) * y) * x. [para(6731(a,1),2673(a,2))]. 6733 (x / (R(y,z,y) * z)) * K(y * z,y) = x / (T(y,z) * z). [para(5929(a,1),6463(a,1,2))]. 6734 ((x \ 1) * y) * K(x,x \ y) = y / R(x,x \ 1,y). [para(57(a,1),6598(a,1,2,1)),flip(a)]. 6735 x / R(y / (z \ y),z \ 1,x) = ((z \ 1) * x) * K(z,z \ x). [para(199(a,1),6598(a,1,2,1))]. 6736 (x * y) / R(z / (y \ z),y \ 1,x * y) = ((y \ 1) * (x * y)) * K(y,T(x,y)). [para(32(a,2),6735(a,2,2,2))]. 6737 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K(y \ x,y). [para(4554(a,1),5114(a,2,2))]. 6738 ((x * y) * (1 / (y * x))) * (y * x) = T(x * y,(y * x) \ 1). [para(5877(a,1),5140(a,1,1,2))]. 6739 K(x \ 1,x) * K(y \ (x \ 1),y) = (x \ 1) / (y * ((1 / x) / y)). [para(6625(a,1),5464(a,1,2))]. 6740 (((x \ 1) \ 1) * K(x \ y,x)) * (y / ((x \ 1) \ 1)) = y. [para(3617(a,1),5468(a,1,1,2))]. 6741 (((x \ 1) \ 1) * K(x \ y,x)) \ y = y / ((x \ 1) \ 1). [hyper(68,a,6740,a)]. 6742 ((x \ 1) \ K(x \ y,x)) \ y = y / ((x \ 1) \ 1). [para(3440(a,1),6741(a,1,1))]. 6743 T(x * K(y,x),z) * (x \ y) = x \ (y * T(x,z)). [para(5581(a,1),977(a,1))]. 6744 T(T(x,y) * K(x * y,T(x,y)),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(1227(a,2),6743(a,2,2))]. 6745 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x). [para(5343(a,1),5741(a,2,2))]. 6746 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [para(5634(a,1),6745(a,1,2))]. 6747 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = T(x * K(y,x),z) * (x \ K(x,y)). [para(6746(a,1),144(a,1,2,1))]. 6748 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [para(5806(a,2),5830(a,1))]. 6749 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(6291(a,1),5806(a,2,1,1))]. 6750 (x * (y \ T(y * z,u))) / (x * z) = K((x * z) / (x * (y \ 1)),u). [para(604(a,1),6748(a,1,1,2))]. 6751 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5520(a,1),6748(a,1,1,2)),flip(a)]. 6752 T(x * K(y,x),x * (z / x)) = T(x,z) * K(y,T(x,z)). [para(4466(a,1),5854(a,1,2,2)),flip(a)]. 6753 T(x * K(y,x),x * (z / x)) = T(x * K(y,x),z). [para(6752(a,2),5672(a,1))]. 6754 T(x * K(y,x),z * x) = T(x * K(y,x),x * z). [para(15(a,1),6753(a,1,2,2)),flip(a)]. 6755 T(x * K(y,x),(x \ z) * x) = T(x * K(y,x),z). [para(14(a,1),6754(a,2,2))]. 6756 T(x * K(y,x),T(z * x,z)) = T(x * K(y,x),T(x * z,z)). [para(4451(a,1),6755(a,1,2))]. 6758 x * (y * ((z \ (y \ (x \ 1))) * z)) = K((x * (y * z)) \ 1,z). [para(104(a,1),5949(a,1,2,2))]. 6759 (1 / x) * (y * ((z \ (y \ x)) * z)) = K(((1 / x) * (y * z)) \ 1,z). [para(59(a,1),6758(a,1,2,2,1,2,2))]. 6760 K((x \ (y \ 1)) \ 1,T(x,z)) = K(y * x,T(x,z)). [para(5995(a,1),5861(a,1))]. 6761 K((x \ 1) \ y,T(y,z)) = K(x * y,T(y,z)). [para(6760(a,1),6464(a,1)),flip(a)]. 6762 K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) = K(x * R(y,z,u),T(R(y,z,u),w)). [para(42(a,2),6761(a,1,2))]. 6763 T(x * T(y,x),z) * K(T(y,x),x) = T(y * x,z) / K(x,y). [para(5330(a,1),6044(a,2,2))]. 6764 T(x * y,z) * K(T(x,y),y) = T(x * y,z) / K(y,x). [para(104(a,1),6763(a,1,1,1))]. 6765 T(x * y,z) / K(y,x) = T(x * y,z) * K(x,y). [para(5321(a,1),6764(a,1,2)),flip(a)]. 6766 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5665(a,1),6099(a,1,1))]. 6769 (x * K(y,(z \ 1) \ 1)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3596(a,1),6766(a,2,2))]. 6770 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3596(a,1),6769(a,1,1,2))]. 6771 (x * (y \ 1)) \ ((x * K(z,y)) * (y \ 1)) = K(z,y). [hyper(68,a,6770,a(flip))]. 6772 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (u / (z \ 1)))). [para(5057(a,1),6105(a,1,2,2))]. 6773 (1 / x) \ T(T(x \ 1,y),z) = T(T(x \ 1,y),z) * x. [para(6111(a,1),279(a,1))]. 6774 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(17,a,6323,a,b,6164,a),flip(a)]. 6775 K(((x * y) \ z) \ 1,L(y \ (x \ z),u,w)) = K((y \ (x \ z)) \ 1,L(y \ (x \ z),v5,v6)). [para(171(a,1),6774(a,1,1,1))]. 6776 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(6774(a,1),2975(a,1,1))]. 6777 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(6774(a,1),3061(a,1,1))]. 6778 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [para(6774(a,2),5333(a,1,1))]. 6779 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(5355,a,6778,a)]. 6780 L(x,y,z) \ K(L(x,u,w),x \ 1) = 1 / L(x,y,z). [para(6779(a,1),1354(a,1,2))]. 6781 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [para(235(a,1),6780(a,1,2,1))]. 6782 x * (L(x,y,z) \ (1 / x)) = 1 / L(x,y,z). [para(6781(a,1),1368(a,1)),flip(a)]. 6783 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(68,a,6782,a),flip(a)]. 6784 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [para(6292(a,1),139(a,1)),flip(a)]. 6785 L(T(1 / x,T(y,K(x,z))),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(104(a,1),6784(a,2,2))]. 6786 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6784(a,1),6335(a,1,1,1)),flip(a)]. 6787 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [para(6786(a,2),6089(a,1))]. 6788 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),K(x,y) * (K(x,y) \ z)),w,v5). [para(6787(a,1),487(a,1,2,1)),flip(a)]. 6789 (1 / (x / y)) * (y \ T(y * (x / y),z)) = ((x / y) \ T(x,z)) * (y \ 1). [para(6296(a,1),6670(a,1)),flip(a)]. 6790 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,x). [para(6326(a,2),3596(a,1))]. 6791 K(L(x \ 1,y,z),x) = K(L(x,u,w) \ 1,x). [para(6790(a,1),3596(a,1)),flip(a)]. 6792 K(x,L(x,y,z) \ 1) = K(L(x \ 1,u,w),x) \ 1. [para(6791(a,2),5332(a,1,1)),flip(a)]. 6793 K(x,L(x \ 1,y,z)) = K(x,L(x,u,w) \ 1). [para(6792(a,2),5332(a,1)),flip(a)]. 6794 K(x,R(y,z,u)) * ((y * z) * u) = ((y * K(x,y)) * z) * u. [para(6362(a,1),100(a,1))]. 6795 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(4650(a,1),6794(a,2,1))]. 6796 (x * (K(y,x) * z)) * u != w * ((x * z) * u) | K(y,R(x,z,u)) = w. [para(6795(a,1),20(a,1))]. 6797 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(6228(a,1),6558(a,1,1))]. 6798 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [para(6797(a,1),6333(a,1))]. 6799 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(854(a,1),6798(a,1,2,1))]. 6800 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(6799(a,1),59(a,1,1)),flip(a)]. 6801 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(5016,a,6800,a)]. 6802 R(K(x,x \ (y / z)),y / z,z) = K(x,((x * z) / y) \ 1). [hyper(494,a,6730,a)]. 6803 (x \ 1) / (y * ((1 / x) / y)) = ((y \ (x \ 1)) * y) * x. [para(6739(a,1),6732(a,1))]. 6804 (1 / x) * (y * ((z \ (y \ x)) * z)) = K(((x \ 1) * (y * z)) \ 1,z). [para(6759(a,2),6635(a,1))]. 6805 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5381(a,1),505(a,2,1)),flip(a)]. 6806 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,L(x,z,u)). [para(5381(a,1),641(a,1,1,1))]. 6807 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [para(5381(a,1),5366(a,2))]. 6808 T(R(x,y,z) * K(u * R(1 / (1 / x),y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(1402(a,1),6805(a,1,1,2,1,2))]. 6809 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [para(6805(a,1),5672(a,2))]. 6810 T(T(x * K(y * L(T(x,z),u,w),x),z),y) = R(T(x,z),y,L(T(x,z),u,w)). [para(5672(a,1),6805(a,1,1))]. 6811 (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(6807(a,1),1284(a,1,1,2)),flip(a)]. 6812 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(5388(a,1),641(a,1,1,1))]. 6813 (x * (((y \ z) * y) * (1 / z))) * a(x,K((1 / z) \ K(y \ z,y),1 / z),K(y \ z,y)) = (x * K((1 / z) \ K(y \ z,y),1 / z)) * K(y \ z,y). [para(5647(a,1),5475(a,1,1,2,1))]. 6814 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(604(a,1),5496(a,1,2))]. 6815 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(552(a,2),5585(a,1,2,2,1))]. 6816 R(T(K(x \ y,y),y * z),y,z) = K(((y * z) \ (x * z)) \ 1,y). [para(5701(a,2),5794(a,1))]. 6817 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(5763(a,1),5764(a,1,1,1))]. 6818 K(R(x,y,z),T(x,u) * u) = K(R(x,y,z),x * u). [para(6062(a,2),6056(a,1))]. 6819 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3983(a,1),6163(a,2,2))]. 6820 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [para(6819(a,1),4000(a,1))]. 6821 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(2935(a,1),6820(a,1,2,2)),flip(a)]. 6822 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(2935(a,1),6821(a,1,1,1)),flip(a)]. 6823 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [para(6822(a,1),59(a,1,1))]. 6824 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(106(a,1),6823(a,1,1,1,1))]. 6825 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(106(a,1),6824(a,2,2))]. 6826 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,T(x,z)). [para(13(a,1),6193(a,2,1,1))]. 6827 ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). [para(2963(a,1),6199(a,1,2))]. 6828 K(R(x,y,z),x * (u \ 1)) = K(R(x,y,z),u \ x). [para(6649(a,1),5780(a,1))]. 6829 K(L(R(x,y,z),u,w),L(x,u,w) * (v5 \ 1)) = K(R(L(x,u,w),y,z),v5 \ L(x,u,w)). [para(44(a,1),6828(a,1,1))]. 6830 K(R(x / (x / y),y \ x,y),z \ (x / (x / y))) = K(y * K(x,y),(x / (x / y)) * (z \ 1)). [para(6165(a,1),6828(a,1,1)),flip(a)]. 6831 (x * y) * T((x * y) \ T(x,y),z) = R(T(1 / y,z),y,x) * (x * y). [para(42(a,2),6697(a,2,1))]. 6832 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [para(6777(a,2),104(a,1))]. 6834 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(1541(a,1),6815(a,1,2))]. 6835 R(x,K(y \ 1,z),y) = R(x,y,K(y \ 1,z)). [para(6827(a,1),30(a,2)),flip(a)]. 6836 R(T(1 / x,y),x,z) * (z * x) = (z * x) * T((x * z) \ z,y). [para(6688(a,1),6831(a,1,2,1)),flip(a)]. 6837 L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(1986(a,1),5080(a,1,1,2))]. 6838 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(5778,a,6837,a)]. 6839 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). [para(323(a,1),6838(a,1,2)),flip(a)]. 6840 K(x \ (y \ z),(y \ z) \ x) = K(x \ (y \ z),z \ (y * x)). [para(316(a,1),6838(a,1,2)),flip(a)]. 6841 L(x,y,K(z \ (u \ 1),u * z)) = x. [para(6839(a,1),3756(a,1,3))]. 6842 K(x \ (y \ 1),y * x) * (1 / z) = K(x \ (y \ 1),y * x) / z. [para(6841(a,1),272(a,1,2)),flip(a)]. 6843 K(x \ ((y * z) \ (y * (z * x))),((y * z) \ (y * (z * x))) \ x) = K(x \ ((y * z) \ (y * (z * x))),a(y,z,x)). [para(24(a,2),6840(a,2,2))]. 6844 ((x / y) / x) \ (y \ x) = (x / y) * (y * K(y \ x,y)). [para(196(a,1),5118(a,1,2))]. 6845 ((x / y) / x) \ (y \ x) = (y \ x) * y. [para(6844(a,2),5123(a,1))]. 6846 ((x / y) / x) * ((y \ x) * y) = y \ x. [para(6845(a,1),14(a,1,2))]. 6847 ((x / (x / y)) / x) * (y * (x / y)) = (x / y) \ x. [para(59(a,1),6846(a,1,2,1))]. 6848 ((x / (x / y)) / x) * (y * (x / y)) = y. [para(6847(a,2),59(a,1))]. 6849 (x / (x / y)) / x = y / (y * (x / y)). [hyper(74,a,6848,a),flip(a)]. 6850 (x * K(x \ y,x)) / T(y,x) = x / (x * (T(y,x) / x)). [para(5120(a,1),6849(a,1,1))]. 6851 (x * K(x \ y,x)) / T(y,x) = x / (x * (y / T(x,y))). [para(4330(a,1),6850(a,2,2,2))]. 6852 x / (x * (y / T(x,y))) = L(x,x \ y,x) / y. [para(6851(a,1),6592(a,1))]. 6853 L(x,x \ y,x) / y = x / T(x * (y / x),x). [para(4355(a,2),6852(a,1,2)),flip(a)]. 6854 L(x,x \ (x * y),x) / (x * y) = x / (R(x,y,x) * y). [para(4735(a,1),6853(a,2,2))]. 6855 L(x,y,x) / (x * y) = x / (R(x,y,x) * y). [para(13(a,1),6854(a,1,1,2))]. 6856 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(5145(a,2),5189(a,2,2,1,1))]. 6857 ((x \ (y * T(x,z))) * x) / T(x,z) = K(z,x) * T(K(z,x) \ y,x). [para(5157(a,2),5193(a,2,2,1,1))]. 6858 (K(x,y) * T(K(x,y) \ z,y)) * T(y,x) = (y \ (z * T(y,x))) * y. [para(6857(a,1),16(a,1,1))]. 6859 (x \ (y * T(x,z))) * x != u * T(x,z) | K(z,x) * T(K(z,x) \ y,x) = u. [para(6858(a,1),20(a,1))]. 6860 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [para(5194(a,1),5527(a,1,2)),flip(a)]. 6861 (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(x,y). [para(6226(a,1),5377(a,2,2))]. 6862 (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. [para(6861(a,1),1256(a,2,1,2))]. 6863 K(1 / (x \ K(y,z)),x \ K(y,z)) = K(K(z,y) * x,x \ K(y,z)). [hyper(17,a,1435,a,b,5445,a),flip(a)]. 6865 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). [para(3596(a,1),5719(a,1,2,2))]. 6866 K(x \ y,y \ x) * K(x \ y,z) = T((y \ x) \ 1,z) * (y \ x). [para(6464(a,1),5969(a,1,2))]. 6867 T((x \ y) \ 1,z) * (x \ y) = T(y \ x,z) * (1 / (y \ x)). [para(6866(a,1),5761(a,1))]. 6868 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (z * u))). [para(104(a,1),6104(a,1,2,2,2))]. 6869 x / (y * (T(z \ 1,u) * ((z \ (T(z \ 1,u) \ (y \ x))) * z))) = K(z,x / (y * ((1 / z) \ T(z \ 1,u)))). [para(6110(a,2),6868(a,2,2,2,2))]. 6870 (x * ((y \ (x \ z)) * y)) * (z \ 1) = K(((x * y) * (z \ 1)) \ 1,y). [para(104(a,1),6120(a,1,1,2))]. 6871 ((x * y) * ((z \ L(y \ (1 / x),y,x)) * z)) * (K(x,x \ 1) \ 1) = K((((x * y) * z) * (K(x,x \ 1) \ 1)) \ 1,z). [para(1359(a,2),6870(a,1,1,2,1,2))]. 6872 (x \ K(y \ 1,z)) * ((x \ 1) \ 1) = K(((x \ y) * x) \ 1,z). [para(6129(a,1),6637(a,1))]. 6873 K(((x \ y) * x) \ 1,y) = K(y \ 1,y). [para(6872(a,1),5013(a,1))]. 6874 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(12(a,1),6142(a,2,1,2,2))]. 6875 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (K((z / x) \ 1,u) * x) * y. [para(6159(a,1),5803(a,1)),flip(a)]. 6876 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(59(a,1),6297(a,1,1,1,1,2)),flip(a)]. 6877 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6464(a,1),6876(a,1,2))]. 6878 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(6625(a,1),6877(a,1,2))]. 6879 K((x * y) \ 1,y) = K(x \ (y \ 1),y). [hyper(17,a,3708,a,b,6878,a),flip(a)]. 6880 L(K(x \ (y \ 1),y),z,u) = K(L(x * y,z,u) \ 1,y). [para(6879(a,1),6325(a,1,1))]. 6882 K(x,y) * ((1 / ((x \ 1) \ 1)) \ y) = (x \ 1) \ (y * K(x,y)). [para(3074(a,1),6318(a,1,1))]. 6883 (x \ 1) \ (y * K(x,y)) = K(x,y) * ((x \ 1) \ y). [para(57(a,1),6882(a,1,2,1)),flip(a)]. 6885 K(x,x \ y) * ((x \ 1) \ (x \ y)) = (x \ 1) \ (y / x). [para(5221(a,1),6883(a,1,2)),flip(a)]. 6886 ((x \ y) \ ((x \ 1) \ (x \ y))) * (x \ y) = (x \ 1) \ (y / x). [para(6885(a,1),6076(a,1)),flip(a)]. 6887 T(x \ y,x) / ((x \ 1) \ (x \ y)) = (x \ y) / ((x \ 1) \ (y / x)). [para(6886(a,1),6716(a,2,2))]. 6888 T(x,y) * L(K(z,T(x,y)),u,w) = T(x * L(K(z,x),u,w),y). [para(6332(a,1),6340(a,1,1,2)),flip(a)]. 6889 T(x * L(K(y,x),z,u),y) = T(x,y) * L(K(y,x),z,u). [para(5330(a,1),6888(a,1,2,1)),flip(a)]. 6890 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [para(6536(a,1),6522(a,1)),flip(a)]. 6892 x * L(y * K((x \ 1) \ y,x),z,u) = T(x * L(y,z,u),x). [para(13(a,1),6571(a,1,1,2,1)),flip(a)]. 6893 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(6664(a,1),6656(a,2,2))]. 6894 ((x \ 1) / (y * (x \ 1))) \ T(1 / x,y) = (1 / x) * y. [para(6704(a,2),2936(a,1))]. 6895 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,x / (z * (y / ((z \ 1) \ 1)))). [para(153(a,1),6772(a,1,2))]. 6896 K(x,y / (z * (x / (u \ 1)))) = K(x,y / (z * (u * x))). [para(6772(a,1),6868(a,1))]. 6897 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (x * K((x \ z) \ 1,u)) * y. [para(5803(a,1),6875(a,2,1))]. 6898 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [para(6893(a,2),6878(a,1))]. 6899 x * (y * K((y \ (x \ (z * y))) \ 1,u)) = (x * K((x \ z) \ 1,u)) * y. [para(6897(a,1),6328(a,1)),flip(a)]. 6900 x * K((x \ (x \ (y * x))) \ 1,z) = T(x * K((x \ y) \ 1,z),x). [hyper(131,a,6899,a),flip(a)]. 6901 T(x * K((x \ y) \ 1,z),x) = x * K((x \ T(y,x)) \ 1,z). [para(32(a,2),6900(a,1,2,1,1,2)),flip(a)]. 6902 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [para(6901(a,2),5486(a,2)),flip(a)]. 6903 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6464(a,1),6902(a,1,1,2)),flip(a)]. 6904 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [para(6903(a,1),6469(a,1,2))]. 6905 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(59(a,1),6904(a,1,2,1,2,1)),flip(a)]. 6906 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [para(5003(a,1),4991(a,1))]. 6907 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3875(a,2),5005(a,1,1))]. 6908 T(x * K(y,x),y * R(x,z,u)) = L(x,y,R(x * K(y,x),z,u)). [para(5236(a,1),5242(a,1,2))]. 6909 T(x * K(y,x),y * R(x,y,x)) = L(x,y,x * K(y * x,x)). [para(5919(a,1),6908(a,2,3))]. 6910 T(x * K(y,x),T(x * y,x)) = L(x,y,x * K(y * x,x)). [para(4446(a,1),6909(a,1,2))]. 6911 K(R(x,y,z),T(T(x,u) * u,w)) = K(R(x,y,z),T(x * u,w)). [para(6008(a,2),5265(a,1))]. 6912 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ T(y,z)) * x. [para(4354(a,1),6067(a,2,1,2))]. 6913 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = T((x \ y) * x,z). [para(6912(a,2),4977(a,2)),flip(a)]. 6914 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),6544(a,1,2))]. 6915 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(x,z,u)). [para(13(a,1),6806(a,2,1,1))]. 6916 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),6812(a,2,1,1))]. 6917 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5089(a,2),6906(a,1,2))]. 6918 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [para(6907(a,1),100(a,1))]. 6919 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). [para(6914(a,2),3746(a,1))]. 6921 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [para(6917(a,1),89(a,1))]. 6922 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(5352(a,1),5454(a,2,2))]. 6923 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = x. [para(6922(a,2),13(a,1))]. 6925 (((x * (y / z)) / x) * z) * (y \ 1) = K(x,R(y / z,z,y \ 1)). [para(5558(a,1),576(a,1)),flip(a)]. 6926 (x * ((y * (x \ z)) / y)) * (z \ 1) = K(y,R(z / x,x,z \ 1)). [para(561(a,1),6925(a,1,1))]. 6927 (x * ((y * (x \ z)) / y)) * (z \ 1) = K(y,(x * (z \ 1)) \ 1). [para(6926(a,2),3599(a,1))]. 6928 ((x * y) * L((x \ z) / y,y,x)) * (z \ 1) = K(y,((x * y) * (z \ 1)) \ 1). [para(557(a,2),6927(a,1,1,2))]. 6929 (x * (y * ((x \ z) / y))) * (z \ 1) = K(y,((x * y) * (z \ 1)) \ 1). [para(89(a,1),6928(a,1,1))]. 6930 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(145(a,1),5608(a,1,2)),flip(a)]. 6931 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5332(a,1),6930(a,1,1,2,1))]. 6932 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(146(a,1),5609(a,1,2)),flip(a)]. 6933 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5332(a,1),6932(a,1,1,2,1))]. 6934 ((x * (y / x)) \ T(y,z)) * (x * (y / x)) = T(y,z). [para(5596(a,1),5610(a,1,1,2,1))]. 6935 T(x,y) / (z * (x / z)) = (z * (x / z)) \ T(x,y). [hyper(74,a,6934,a)]. 6936 T(x,y) / (T(x,y) / (z * (x / z))) = z * (x / z). [para(6935(a,2),57(a,1,2))]. 6937 x * R(y * K((y \ (x \ 1)) \ 1,x),z,u) = T(x * R(y,z,u),x). [para(13(a,1),5993(a,1,1,2,1)),flip(a)]. 6938 x * R(y * K((x \ 1) \ y,x),z,u) = T(x * R(y,z,u),x). [para(6464(a,1),6937(a,1,2,1,2))]. 6939 T((1 / x) * K(y * R(1 / x,x,z),x \ 1),y) = R(1 / x,y,z / (x * z)). [para(3597(a,1),6052(a,1,1,2))]. 6940 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(5272(a,1),6102(a,1,1))]. 6941 K(R(x,y,z) \ 1,u \ 1) = K(x \ 1,R(u,y,z) \ 1). [hyper(18,a,5956,a,b,6940,a),flip(a)]. 6942 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(18,a,100,a,b,6940,a),flip(a)]. 6943 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(18,a,4228,a(flip),b,6940,a)]. 6944 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(18,a,3770,a(flip),b,6940,a)]. 6945 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(46(a,1),6943(a,1,2,1))]. 6946 K(x,R(1 / y,z,u) \ 1) = R(K(x,y),z,u). [para(59(a,1),6942(a,1,1,2)),flip(a)]. 6947 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3596(a,1),6942(a,1,1)),flip(a)]. 6949 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5838(a,1),6942(a,1,1)),flip(a)]. 6950 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6520(a,1),6942(a,1,1)),flip(a)]. 6951 R(x,R(K(y,z),u,w),y) = x. [para(6946(a,1),6404(a,1,2))]. 6952 (x * R(K(y,z),u,w)) * y = x * (R(K(y,z),u,w) * y). [para(6951(a,1),100(a,1,1)),flip(a)]. 6953 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [para(6947(a,1),5961(a,1)),flip(a)]. 6954 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6947(a,1),5962(a,1,1)),flip(a)]. 6955 (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(6953(a,1),5938(a,1,1,2,2))]. 6956 R(K(x,y),z,u) * (R(K(y,x),z,u) * w) = w. [hyper(67,a,6954,a)]. 6957 x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w). [para(6954(a,1),57(a,1,2))]. 6958 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(6954(a,1),5627(a,1))]. 6959 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [para(100(a,1),6957(a,1,2))]. 6960 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [para(6959(a,1),111(a,1))]. 6961 (x * y) / (((z \ x) * z) * y) = R(K(z,z \ x),x,y). [para(5138(a,1),6959(a,1,2,1))]. 6962 (x * y) / ((z * (x / z)) * y) = R(K(z \ x,z),x,y). [para(5227(a,1),6959(a,1,2,1))]. 6963 R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). [para(346(a,1),6949(a,1,2,1)),flip(a)]. 6964 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(349(a,1),6949(a,1,2)),flip(a)]. 6965 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [para(6949(a,1),5843(a,1))]. 6966 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(16(a,1),6965(a,2,2,1))]. 6967 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(16(a,1),6965(a,2,2,2))]. 6968 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(57(a,1),6965(a,1,1,2)),flip(a)]. 6969 R(K(x,(y / z) \ L(x,u,w)),L(x,u,w),z) = K(x,(L(x,u,w) * z) / y). [para(6583(a,1),6967(a,1,1))]. 6970 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(98(a,2),6968(a,1,2))]. 6971 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(13(a,1),6970(a,1,2,2)),flip(a)]. 6972 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(119(a,1),6970(a,1,2,2)),flip(a)]. 6973 K(x,R(y,K(y,z) * (y \ u),w)) = R(K(x,y),K(y,z) * u,w). [para(5612(a,1),6970(a,1,2,2))]. 6974 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6971(a,1),42(a,2,1))]. 6975 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [para(6971(a,1),5955(a,1)),flip(a)]. 6976 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(352(a,1),6945(a,1,2,1)),flip(a)]. 6977 R(K(x,x \ (y / z)),y / z,z) = y / (((x \ (y / z)) * x) * z). [para(16(a,1),6961(a,1,1)),flip(a)]. 6978 K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). [para(57(a,1),6963(a,1,1,2)),flip(a)]. 6979 (x * R(K(y,z),u,w)) * y = x * (y * R(K(y,z),u,w)). [para(3090(a,1),6952(a,2,2))]. 6980 x / (R(K(y,z),u,(K(y,z) * u) \ 1) * x) = u * ((K(y,z) * u) \ 1). [para(6960(a,1),6957(a,2))]. 6981 x / (((y \ (x / z)) * y) * z) = K(y,((y * z) / x) \ 1). [para(6977(a,1),6802(a,1))]. 6982 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [para(4993(a,1),6981(a,1,2))]. 6983 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(6982(a,2),5838(a,1))]. 6984 x / (((y \ z) * y) * (z \ x)) = K(y,x / (y * (z \ x))). [para(4994(a,1),6983(a,1,2))]. 6985 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [para(6983(a,1),5984(a,1)),flip(a)]. 6986 (x * y) / (((z \ R(R(1 / u,u,x),u * x,y)) * z) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(384(a,1),6984(a,1,2,2))]. 6987 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [para(6976(a,2),5838(a,1))]. 6988 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(6987(a,1),6949(a,1)),flip(a)]. 6989 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(6582(a,1),6988(a,1,1))]. 6990 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(6550(a,1),6190(a,2,1))]. 6991 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(5171(a,1),6990(a,1,1,1))]. 6992 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [para(6991(a,1),59(a,1,1))]. 6993 ((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(4440(a,1),6992(a,1,1,2))]. 6994 K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) = K(x * R(y,z,u),R(T(y,w),z,u)). [para(42(a,2),6762(a,2,2))]. 6995 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [para(6860(a,1),1728(a,1)),flip(a)]. 6996 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(3065(a,1),6939(a,1,1))]. 6997 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(6652(a,1),6996(a,1,1,1))]. 6998 ((x * T(x \ (y / z),y / z)) * z) / y = K(x \ (y / z),(z / y) \ 1). [para(5702(a,1),5844(a,1))]. 6999 (x * (y * T(y \ (x \ z),z / y))) / z = K(x \ (z / y),(y / z) \ 1). [para(1788(a,1),6998(a,1,1))]. 7001 K(((x * y) / z) \ 1,z / y) = K(x \ (z / y),(y / z) \ 1). [para(6999(a,1),5807(a,1)),flip(a)]. 7002 (((x \ 1) * y) \ y) * T(L(y,x \ 1,x) / x,x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(106(a,2),6005(a,1,2))]. 7003 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3482(a,1),6109(a,1,2,1,1))]. 7004 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3074(a,1),7003(a,1,2))]. 7005 (x * y) / R(z / (y \ z),y \ 1,x * y) = ((y \ 1) * (x * y)) * K(y,x). [para(5330(a,1),6736(a,2,2))]. 7006 K((x \ 1) \ 1,((x \ 1) \ 1) \ (y * x)) = K(x,y). [hyper(6166,a,7005,a)]. 7007 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1107(a,2),6814(a,1,2))]. 7008 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [para(7007(a,1),89(a,1)),flip(a)]. 7009 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(5952(a,1),7008(a,1,2)),flip(a)]. 7010 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5162(a,1),7009(a,2,2))]. 7011 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(59(a,1),7010(a,1,1,2,1))]. 7012 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(59(a,1),7011(a,2,2,1,2))]. 7013 x * (T(y,y \ x) \ 1) = T(x * (y \ 1),y). [para(7012(a,1),565(a,1))]. 7015 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [para(7012(a,1),6771(a,1,2))]. 7016 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(68,a,7013,a)]. 7017 x * K(y,z) != u * (T(z,y) \ 1) | u * (z \ 1) = x. [para(7015(a,1),72(a,1,2)),flip(b)]. 7018 L(K(x,y),y \ 1,z) = K(x,y). [para(7015(a,1),5479(a,1)),flip(a)]. 7020 K(L(x,y \ 1,z) \ 1,y) = K(x \ 1,y). [para(7018(a,1),6325(a,1)),flip(a)]. 7022 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [para(105(a,1),7016(a,2,1))]. 7023 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(7022(a,1),4970(a,1,1)),flip(a)]. 7024 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [para(7023(a,1),4258(a,1)),flip(a)]. 7025 ((((x / y) \ 1) * x) \ x) \ x = ((y \ x) \ 1) * x. [para(59(a,1),7024(a,2,1,1,1))]. 7026 ((x / y) \ 1) * (y * (x / y)) = ((y \ x) \ 1) * x. [para(7025(a,1),4260(a,1)),flip(a)]. 7027 ((x \ (y * x)) \ 1) * (y * x) = (y \ 1) * (x * ((y * x) / x)). [para(15(a,1),7026(a,1,1,1)),flip(a)]. 7028 ((x \ (y * x)) \ 1) * (y * x) = (y \ 1) * (x * y). [para(15(a,1),7027(a,2,2,2))]. 7029 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((K(y,y \ 1) / u) \ w)). [para(5019(a,1),4926(a,2,2))]. 7030 x \ K((x * ((1 / y) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [para(5083(a,1),5945(a,2))]. 7031 x \ K((x * ((y \ 1) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [para(6721(a,1),7030(a,1,2))]. 7032 x \ K((x * ((y \ 1) / x)) \ 1,z) = ((y \ T(y,z)) * K(x \ 1,x)) / x. [para(6316(a,1),7031(a,2,1))]. 7033 x \ K((x * ((y \ 1) / x)) \ 1,z) = (K(y,z) * K(x \ 1,x)) / x. [para(5169(a,2),7032(a,2,1,1))]. 7034 x \ K((x * ((y \ 1) / x)) \ 1,z) = K(y,z) / T(x,x \ 1). [para(7033(a,2),2464(a,1))]. 7035 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / T(x,x \ 1)). [para(7034(a,1),14(a,1,2)),flip(a)]. 7036 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / ((x \ 1) \ 1)). [para(105(a,1),7035(a,2,2,2))]. 7037 (x / y) * T(T((x / y) \ 1,z),u) = (x * T(T(x \ y,z),u)) / y. [para(5796(a,1),5577(a,1,1,2,1)),flip(a)]. 7038 (x * y) * T((y * T(x,y)) \ T(x,y),z) = y * (T(x,y) * T(x \ (y \ x),z)). [para(104(a,1),5739(a,1,1))]. 7039 (x * y) * T((x * y) \ T(x,y),z) = y * (T(x,y) * T(x \ (y \ x),z)). [para(104(a,1),7038(a,1,2,1,1))]. 7040 x * (T(y,x) * T(y \ (x \ y),z)) = (y * x) * T((x * y) \ y,z). [para(6688(a,1),7039(a,1,2,1)),flip(a)]. 7041 (x * y) * T((y * x) \ x,z) = K(y \ 1,z) * T(x,y). [para(7040(a,1),5953(a,1))]. 7042 R(T(1 / x,y),x,z) * (z * x) = K(x \ 1,y) * T(z,x). [para(7041(a,1),6836(a,2))]. 7043 R(T(1 / x,y),x,K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * (x \ K(x \ 1,y)). [para(7042(a,2),1019(a,2)),flip(a)]. 7044 L(K(L(x,y,z),u),L(x,y,z),z * y) = (z * (y * x)) \ (z * (y * T(x,u))). [para(89(a,1),5913(a,1,2)),flip(a)]. 7045 L(K(L(x,x \ 1,y),z),L(x,1 / x,y),y * (1 / x)) = (y * ((1 / x) * x)) \ (y * ((1 / x) * T(x,z))). [para(2432(a,1),7044(a,1,1,1))]. 7046 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [para(7044(a,1),6472(a,1))]. 7048 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(7046(a,1),6440(a,1)),flip(a)]. 7049 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(14(a,1),7048(a,1,2))]. 7050 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(16(a,1),7048(a,1,2)),flip(a)]. 7051 K(L(x,y / T(x,y),z),u) = L(K(x,u),T(y,x),z). [para(4301(a,1),7048(a,1,2)),flip(a)]. 7052 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [para(7050(a,1),5332(a,1,1)),flip(a)]. 7053 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [para(91(a,1),7049(a,2,1))]. 7054 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(171(a,1),7049(a,2,1))]. 7055 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(278(a,1),7049(a,2,1))]. 7056 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(316(a,1),7049(a,2,1))]. 7057 K(L(x \ y,x,K(y,z)),u) = K(x \ y,u). [para(7049(a,1),4230(a,1))]. 7058 K(x \ y,K(y,z) * x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(7057(a,1),5298(a,1,1))]. 7059 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [para(7053(a,2),6657(a,1))]. 7060 L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u). [para(24(a,2),7056(a,2,1))]. 7061 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [para(7056(a,1),89(a,1,2))]. 7062 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [para(7054(a,1),3707(a,1))]. 7063 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [para(7062(a,1),5360(a,2))]. 7064 K(x / ((y * z) * x),y) = K(z \ (y \ 1),y). [para(7062(a,1),5833(a,2))]. 7065 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(7063(a,1),6918(a,2,1))]. 7066 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) / (x \ T(y,z)) = 1 / (x \ y). [para(7059(a,1),6596(a,1,1))]. 7067 (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. [para(7061(a,1),19(a,1)),flip(a)]. 7068 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(7065(a,1),5984(a,1,2)),flip(a)]. 7069 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [para(7068(a,2),5438(a,1))]. 7071 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [para(7069(a,1),6586(a,1)),flip(a)]. 7072 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [para(7069(a,1),6985(a,1)),flip(a)]. 7073 R(K(x,y \ (x \ 1)),z,u) = K(x,R(y * x,z,u) \ 1). [para(7071(a,1),6942(a,1,1))]. 7074 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u,y,z) \ (x \ 1)). [para(100(a,1),7072(a,1,2,2,2))]. 7075 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(28(a,2),7060(a,1,1,1,1))]. 7076 R(K(R(x,y,z),u),R(x,y,z),y * z) = ((T(x,u) * y) * z) / ((x * y) * z). [para(100(a,1),5915(a,1,1)),flip(a)]. 7077 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [para(7076(a,1),4226(a,1))]. 7079 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(7077(a,1),5568(a,1)),flip(a)]. 7080 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(14(a,1),7079(a,1,2)),flip(a)]. 7081 K(R(x,y,z),x \ 1) = K(x,x \ 1). [para(7079(a,1),3824(a,1))]. 7082 R(K(x,y),K(z,x) * u,w) = K(R(x,T(x,z) \ u,w),y). [para(5179(a,1),7079(a,1,2))]. 7083 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5526(a,1),7079(a,1,2)),flip(a)]. 7084 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [para(7079(a,1),6989(a,1)),flip(a)]. 7085 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [para(7081(a,1),3732(a,2))]. 7086 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [para(7081(a,1),3733(a,1,2))]. 7087 K(R(x,x \ 1,y),z) = K(x,z). [para(7080(a,2),242(a,1))]. 7088 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(98(a,1),7080(a,1,1))]. 7089 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(17,a,3831,a,b,7085,a),flip(a)]. 7091 R(x,y,z) \ T(x,x \ 1) = x * (1 / R(x,y,z)). [para(7086(a,1),5255(a,1,2)),flip(a)]. 7093 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(68,a,7089,a)]. 7094 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [para(7093(a,1),5036(a,1)),flip(a)]. 7095 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(7094(a,1),5867(a,1,2,1))]. 7096 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(59(a,1),7088(a,1,1,2,1)),flip(a)]. 7097 R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). [para(16(a,1),7096(a,2,1,1))]. 7098 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(16(a,1),7096(a,2,1,2))]. 7099 (R(x,y,z) \ x) * K(x,x \ 1) = x * (1 / R(x,y,z)). [para(7091(a,1),4107(a,2))]. 7100 R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). [para(6017(a,1),7097(a,1,1))]. 7101 (R(x,y,z) \ x) * K(x,R(x,u,w) \ 1) = x * (1 / R(x,y,z)). [para(6944(a,2),7099(a,1,2))]. 7102 K(L(x,y,x),(((x * (y * x)) / x) * z) / ((u * y) * z)) = K(R(L(x,y,x),y,z),u \ L(x,y,x)). [para(4445(a,2),7084(a,1,2,1,1))]. 7103 (R(x,y,z) \ x) / x = 1 / R(x,y,z). [hyper(4552,a,7101,a)]. 7104 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [para(7103(a,1),16(a,1,1))]. 7105 x / R(x,y,z) = R(x,y,z) \ x. [para(7104(a,1),1282(a,1)),flip(a)]. 7106 (x / R(x,y,z)) * u = (R(x,y,z) \ x) * u. [hyper(22,a,7105,a)]. 7107 (R(x,y,z) \ x) * R(x,y,z) = x. [para(7105(a,1),16(a,1,1))]. 7108 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(7105(a,1),6965(a,1,1,2))]. 7109 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(7105(a,2),7095(a,1,2,1))]. 7110 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(7107(a,1),4969(a,1,1,1))]. 7111 K(R(x,y,z),R(x,y,z) \ x) = 1. [hyper(17,a,5595,a(flip),b,7106,a)]. 7112 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [para(7110(a,1),5292(a,2))]. 7113 (x * y) / L(y,x,y * K(x * y,y)) = (R(y * K(x,y),x,y) * x) / y. [para(5216(a,1),5921(a,1,1))]. 7114 (x / L(y,x,y * K(x * y,y))) * y = (R(y * K(x,y),x,y) * x) / y. [para(7113(a,1),1025(a,1)),flip(a)]. 7115 (x / L(y,x,y * K(x * y,y))) * y = (x * R(y,x,y)) / y. [para(5236(a,1),7114(a,2,1))]. 7116 (x / L(y,x,y * K(x * y,y))) * y = T(y * x,y) / y. [para(4446(a,1),7115(a,2,1))]. 7117 (T(K(x \ 1,y),z) * (x \ 1)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(59(a,1),6268(a,1,1,2,1))]. 7118 ((x \ 1) * T(K(x \ 1,y),z)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(3088(a,1),7117(a,1,1))]. 7119 T(K(x \ 1,y),z) * K(x \ 1,x) = (x \ T(K(x \ 1,y),z)) * x. [para(6475(a,1),7118(a,1,1)),flip(a)]. 7120 K(T(x,y) \ 1,z) * K(x \ 1,x) = (x \ T(K(x \ 1,z),y)) * x. [para(6086(a,2),7119(a,1,1))]. 7121 K(T(x,y) \ 1,z) * K(x \ 1,x) = (x \ K(T(x,y) \ 1,z)) * x. [para(6086(a,2),7120(a,2,1,2))]. 7122 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [para(6455(a,2),4977(a,2))]. 7123 ((x * y) * T(T((x * y) \ x,y),z)) / x = T(y \ K(y,x),z) * ((x * y) / x). [para(6562(a,1),7037(a,1)),flip(a)]. 7124 (x * (y * T(T(y \ 1,y),z))) / x = T(y \ K(y,x),z) * ((x * y) / x). [para(593(a,1),7123(a,1,1))]. 7125 T(x \ K(x,y),z) * ((y * x) / y) = (y * (T(x \ 1,z) * x)) / y. [para(144(a,1),7124(a,1,1,2)),flip(a)]. 7126 (x / y) * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. [para(666(a,1),6862(a,1,2,1))]. 7127 (x * (y * K(z,y))) / y = (x / y) * (y * K(z,y)). [para(6861(a,1),7126(a,1,2)),flip(a)]. 7128 ((x / y) * (y * K(z,y))) \ (x * (y * K(z,y))) = y. [para(7127(a,1),59(a,1,1))]. 7129 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(4026(a,1),7122(a,1,1)),flip(a)]. 7130 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(7129(a,1),6482(a,1,1)),flip(a)]. 7131 K((x / y) \ 1,x * K(y,z)) = T(y,z) / T(x * (y / x),z). [para(7129(a,1),6483(a,1,2)),flip(a)]. 7132 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = ((x * T(x \ y,z)) * x) / x. [para(4743(a,1),4459(a,2,1))]. 7133 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = x * T(x \ y,z). [para(7132(a,2),15(a,1))]. 7134 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3763(a,1),5033(a,1,2))]. 7135 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4903(a,1),5034(a,1,2)),flip(a)]. 7136 L(x,y * K(z \ 1,z),u) = L(x,y,u). [para(7135(a,2),28(a,2)),flip(a)]. 7138 L(x,T(y,y \ 1),z) = L(x,y,z). [para(1311(a,1),7136(a,1,2)),flip(a)]. 7139 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1312(a,1),7136(a,1,2)),flip(a)]. 7141 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [para(7138(a,1),89(a,1,2))]. 7143 L(K(x,y \ 1),y,z) = K(x,y \ 1). [para(7139(a,1),7018(a,1))]. 7144 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [para(7143(a,1),89(a,1,2))]. 7145 R(x,y,K(z,y \ 1)) = x. [hyper(329,a,7144,a)]. 7146 R(x,y \ 1,K(z,y)) = x. [para(3596(a,1),7145(a,1,3))]. 7147 R(x,y \ z,K(u,z \ y)) = x. [para(6520(a,1),7145(a,1,3))]. 7148 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [para(7146(a,1),5251(a,1)),flip(a)]. 7149 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(7147(a,1),355(a,1,1))]. 7150 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(5156(a,1),7148(a,1,2))]. 7151 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [para(7150(a,1),59(a,1,1))]. 7152 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(7149(a,1),6874(a,1,2))]. 7153 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(7141(a,1),19(a,1)),flip(a)]. 7154 T(x,y) * K(R(x,z,u) * y,T(x,y)) = R(x,y,R(T(x,y),z,u)). [para(5389(a,1),410(a,1))]. 7155 T(x * K(R(x,y,z) * u,x),u) = R(x,u,R(T(x,u),y,z)). [para(7154(a,1),5672(a,1)),flip(a)]. 7156 ((x * y) * z) \ (R(y,x,z) * (x * z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(146(a,1),5793(a,1,2))]. 7157 K((((x * y) * z) \ (x * z)) \ 1,x) = ((x * y) * z) \ ((y * x) * z). [para(100(a,1),7156(a,1,2)),flip(a)]. 7158 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [para(5960(a,1),5840(a,1))]. 7159 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [para(7158(a,2),5830(a,1))]. 7161 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [para(7159(a,1),5840(a,1)),flip(a)]. 7162 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [para(7161(a,1),5830(a,1)),flip(a)]. 7164 ((x * y) * z) / ((x * T(x \ (x * y),u)) * z) = K(u,R(y * K(x,y),x,z)). [para(1789(a,1),6106(a,1,2))]. 7165 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(y * K(x,y),x,z)). [para(13(a,1),7164(a,1,2,1,2,1))]. 7166 (((x * y) * T((x * y) \ (y * z),y)) / z) \ y = K(y,((y * T(x,y)) / z) \ y). [para(595(a,1),6270(a,1,1,1,2))]. 7167 ((x * (y * T(y \ (x \ (y * z)),y))) / z) \ y = K(y,((y * T(x,y)) / z) \ y). [para(592(a,1),7166(a,1,1,1))]. 7168 ((x * ((y \ (x \ (y * z))) * y)) / z) \ y = K(y,((y * T(x,y)) / z) \ y). [para(104(a,1),7167(a,1,1,1,2))]. 7169 ((x * ((y \ (x \ (y * z))) * y)) / z) \ y = K(y,((x * y) / z) \ y). [para(104(a,1),7168(a,2,2,1,1))]. 7170 ((x * (y * T(y \ z,x))) / z) \ x = K(x,((y * x) / z) \ x). [para(5007(a,1),7169(a,1,1,1))]. 7171 K(x,((y * x) / z) \ x) = K(x,((x * y) / z) \ x). [para(7170(a,1),5689(a,1))]. 7172 K(K(L(x \ (1 / (x \ y)),x,x \ 1) \ 1,z),u) = K((x \ 1) * (T(y,z) / (x \ y)),u). [para(6325(a,1),6666(a,1,1))]. 7173 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,x \ y). [para(6895(a,1),5474(a,1))]. 7175 K(x,y / (z * ((z \ 1) * x))) = K(x,x \ y). [para(7173(a,1),6896(a,1)),flip(a)]. 7176 K(x,y / L(x,z \ 1,z)) = K(x,x \ y). [para(153(a,1),7175(a,1,2,2))]. 7177 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K(x,x \ y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(5603(a,2),7002(a,1,2,1))]. 7178 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [para(7134(a,1),4893(a,1)),flip(a)]. 7179 K(K(((1 / x) * (1 / (x \ y))) \ 1,z),u) = K((x \ 1) * (T(y,z) / (x \ y)),u). [para(2628(a,1),7172(a,1,1,1,1))]. 7180 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(3865(a,1),7178(a,1,2))]. 7181 R(x,y * K(z \ 1,z),u) = R(x,y,u). [para(7180(a,1),3869(a,1))]. 7183 R(x,1 / y,z) = R(x,y \ 1,z). [para(1608(a,1),7181(a,1,2)),flip(a)]. 7186 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(7183(a,1),3640(a,1,2))]. 7189 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(2652(a,1),7186(a,1,2,1))]. 7190 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4212(a,1),7189(a,1,2,1)),flip(a)]. 7191 (x / T(T(y,x),z \ T(y,x))) \ T(x,T(y,z \ T(y,x))) = T(y,T(y,x) * (z \ 1)). [para(4630(a,1),4507(a,1,2))]. 7192 T(x,T(x,y) * (z \ 1)) = T(x,z \ T(x,y)). [para(7191(a,1),4357(a,1))]. 7195 T(x,T(x,y) * (1 / z)) = T(x,z \ T(x,y)). [para(7192(a,1),4833(a,2))]. 7196 (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(794(a,1),4536(a,1,1))]. 7197 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(816(a,1),7196(a,1,2))]. 7198 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(7197(a,1),24(a,2)),flip(a)]. 7199 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(7198(a,1),4738(a,2))]. 7200 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4281(a,1),7199(a,1,1))]. 7201 T(x,y * (((z * K(u \ 1,u)) \ 1) \ w)) = T(x,y * ((K(u,u \ 1) / z) \ w)). [para(59(a,1),5020(a,1,2,2,1,1,1))]. 7202 T(x,y * ((K(z,z \ 1) / u) \ w)) = T(x,y * ((u \ K(z,z \ 1)) \ w)). [para(3844(a,1),7201(a,1,2,2,1)),flip(a)]. 7203 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [para(7202(a,1),7029(a,2))]. 7204 T(x,K(y \ 1,y) * (z * ((u \ 1) \ w))) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [para(3748(a,1),7203(a,1,2))]. 7205 T(x,y * ((z \ K(u,u \ 1)) \ w)) = T(x,y * ((z \ 1) \ w)). [para(7204(a,1),4838(a,1))]. 7207 K(x,y * ((z \ K(u,u \ 1)) \ w)) = x \ T(x,y * ((z \ 1) \ w)). [para(7205(a,1),5169(a,2,2))]. 7208 K(x,y * ((z \ K(u,u \ 1)) \ w)) = K(x,y * ((z \ 1) \ w)). [para(7207(a,2),5169(a,2)),flip(a)]. 7209 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(1354(a,1),7208(a,1,2,2,1))]. 7210 K(x,(y \ 1) * ((1 / y) \ z)) = K(x,z). [para(14(a,1),7209(a,2,2))]. 7211 K(x,y * (((z \ 1) \ 1) \ u)) = K(x,y * (z \ u)). [para(57(a,1),7209(a,1,2,2,1)),flip(a)]. 7212 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(59(a,1),7209(a,1,2,2)),flip(a)]. 7213 K(x,y * (((1 / z) * (u * z)) \ (u * (u * z)))) = K(x,y * ((z \ 1) \ u)). [para(2584(a,2),7209(a,1,2,2))]. 7214 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(13(a,1),7210(a,1,2,2)),flip(a)]. 7215 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2637(a,1),7210(a,1,2,2))]. 7216 K(x,K(y \ 1,y) * z) = K(x,z). [para(2665(a,1),7210(a,1,2))]. 7217 K(x,K(y,y \ 1) * z) = K(x,z). [para(1361(a,1),7216(a,1,2,1))]. 7218 K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). [para(2630(a,1),7216(a,1,2))]. 7219 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2710(a,1),7216(a,1,2))]. 7222 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2973(a,1),7216(a,1,2)),flip(a)]. 7224 K(x,(y \ L(y * (z / y),u,w)) * y) = K(x,L(z * K(y,y \ 1),u,w)). [para(3470(a,1),7216(a,1,2))]. 7225 K(x,(K(y \ 1,y) * z) / u) = K(x,z / u). [para(3750(a,2),7216(a,1,2))]. 7226 K(x,y \ ((z \ 1) \ 1)) = K(x,y \ z). [para(4106(a,1),7216(a,1,2)),flip(a)]. 7227 K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). [para(4885(a,1),7216(a,1,2)),flip(a)]. 7228 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4920(a,2),7216(a,1,2))]. 7229 K(x,y \ (z / (1 / u))) = K(x,y \ (z / (u \ 1))). [para(4919(a,1),7216(a,1,2))]. 7230 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(4921(a,1),7216(a,1,2))]. 7231 K(x,(y * ((z \ 1) \ 1)) \ u) = K(x,(y * z) \ u). [para(4941(a,1),7216(a,1,2))]. 7232 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(4942(a,1),7216(a,1,2))]. 7233 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(5045(a,2),7216(a,1,2))]. 7234 K(x,y / (z * K(u,u \ 1))) = K(x,y / z). [para(5046(a,2),7216(a,1,2))]. 7235 K(x,y * ((1 / y) * z)) = K(x,L(z,y \ 1,y)). [para(2805(a,1),7217(a,1,2))]. 7236 K(x,y / (K(z \ 1,z) * u)) = K(x,y / u). [para(4893(a,2),7217(a,1,2))]. 7237 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(4902(a,2),7217(a,1,2))]. 7238 K(x,((1 / y) \ z) \ u) = K(x,((y \ 1) \ z) \ u). [para(5017(a,1),7217(a,1,2))]. 7239 K(x,(1 / x) * y) * y = x * (y / x). [para(7214(a,2),5565(a,1,1))]. 7240 x * K(x \ (1 / y),(y \ 1) \ x) = (1 / (1 / (x * y))) / y. [para(7218(a,1),3662(a,1,2))]. 7241 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(2762(a,2),7219(a,1,2,1))]. 7243 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = R(K(x \ 1,y \ x),z,u). [para(7226(a,1),7073(a,1,1)),flip(a)]. 7244 (x \ (1 / y)) * K(x,x \ (y \ 1)) = (1 / y) / x. [para(7227(a,1),5221(a,1,2))]. 7245 (1 / x) * K(y,y \ (x \ 1)) = y * ((1 / x) / y). [para(7227(a,1),5432(a,1,2))]. 7246 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5696(a,1),7239(a,1,1))]. 7248 K(x,(y * (1 / z)) / u) = K(x,(y * (z \ 1)) / u). [para(2973(a,1),7225(a,1,2,1)),flip(a)]. 7249 K(x,(T(y \ 1,y) * z) / u) = K(x,((y \ 1) * z) / u). [para(3457(a,1),7225(a,1,2,1))]. 7250 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(1352(a,1),7228(a,1,2,1,1))]. 7251 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(3006(a,1),7228(a,1,2,1))]. 7252 K(x,y / (((z \ 1) \ 1) * u)) = K(x,y / (z * u)). [para(2615(a,1),7233(a,1,2,2))]. 7253 K(x,y / ((1 / z) * u)) = K(x,y / ((z \ 1) * u)). [para(2719(a,1),7233(a,1,2,2))]. 7254 K(x,y / (z * (u / ((w \ 1) \ 1)))) = K(x,y / (z * (u / w))). [para(4916(a,1),7233(a,1,2,2)),flip(a)]. 7255 K(x,y / (T(z \ 1,z) * u)) = K(x,y / ((z \ 1) * u)). [para(5178(a,1),7233(a,1,2,2)),flip(a)]. 7256 K(x,y / (z * (1 / (1 / (z \ u))))) = K(x,y / u). [para(2011(a,1),7234(a,1,2,2))]. 7257 K(x,y / ((((z \ 1) \ 1) \ u) * w)) = K(x,y / ((z \ u) * w)). [para(3808(a,1),7236(a,1,2,2))]. 7258 K(x,y / ((z / (1 / u)) * w)) = K(x,y / ((z / (u \ 1)) * w)). [para(3810(a,1),7236(a,1,2,2))]. 7259 K(x,y / ((((z \ 1) \ 1) * u) \ w)) = K(x,y / ((z * u) \ w)). [para(4940(a,1),7236(a,1,2,2))]. 7260 K(x,y / (z * (T(u \ 1,w) * u))) = K(x,y / (z * K(u \ 1,w))). [para(5944(a,1),7236(a,1,2,2))]. 7261 K(x,y \ (((z \ 1) \ 1) * u)) = K(x,y \ (z * u)). [para(2615(a,1),7237(a,1,2,2))]. 7262 K(x,y \ ((1 / z) * u)) = K(x,y \ ((z \ 1) * u)). [para(2719(a,1),7237(a,1,2,2))]. 7263 K(x,y \ (z * T(u,u \ 1))) = K(x,y \ (z * u)). [para(3001(a,1),7237(a,1,2,2))]. 7264 K(x,((((y \ 1) \ 1) * z) \ u) \ w) = K(x,((y * z) \ u) \ w). [para(4940(a,1),7250(a,1,2,1))]. 7265 K(x,L(K(y \ 1,y) * z,u,w) \ v5) = K(x,L(z,u,w) \ v5). [para(5063(a,2),7250(a,1,2,1))]. 7266 K(x,T(y * ((1 / y) * z),u)) = K(x,L(T(z,u),y \ 1,y)). [para(4800(a,2),7235(a,1,2))]. 7267 x * (K(x \ 1,x) * K(y,y \ (1 / (x \ 1)))) = y * ((1 / (1 / x)) / y). [para(7229(a,1),5604(a,1,2,2))]. 7269 K(x,(y * ((z \ 1) \ 1)) / u) = K(x,(y * z) / u). [para(57(a,1),7248(a,1,2,1,2)),flip(a)]. 7270 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(15(a,1),7246(a,2,2))]. 7271 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(5135,a,7270,a),flip(a)]. 7272 K(x,L((1 / x) * y,z,u)) = K(x,L(x \ y,z,u)). [para(2642(a,1),7271(a,1,2))]. 7273 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [para(7271(a,1),7087(a,2))]. 7274 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(K(x,x \ 1) * y,z,u)). [para(2701(a,1),7272(a,1,2,1)),flip(a)]. 7275 x * K(x \ (y \ 1),(y \ 1) \ x) = (1 / (1 / (x * y))) / y. [para(6625(a,1),7240(a,1,2))]. 7276 K(x,y / (z * ((u \ 1) * x))) = K(x,y / (z * (x / u))). [para(7254(a,1),6896(a,1)),flip(a)]. 7277 K(x,y / ((z / ((u \ 1) \ 1)) * w)) = K(x,y / ((z / u) * w)). [para(57(a,1),7258(a,1,2,2,1,2)),flip(a)]. 7278 K(x,L((1 / y) * z,u,w) \ v5) = K(x,L((y \ 1) * z,u,w) \ v5). [para(2627(a,1),7265(a,1,2,1,1)),flip(a)]. 7279 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = K(R(x,z,u) \ 1,y \ x). [para(7243(a,2),5955(a,1))]. 7280 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(6094(a,1),7213(a,1,2,2,2))]. 7281 K(x,x * (x \ L(x * (y / x),z,u))) = K(x,L(y * K(x,x \ 1),z,u)). [para(7224(a,1),5709(a,1)),flip(a)]. 7282 x * (K(x \ 1,x) * K(y,y \ x)) = y * ((1 / (1 / x)) / y). [para(57(a,1),7267(a,1,2,2,2,2))]. 7284 T(x * ((1 / (1 / y)) / x),K(z,y)) = y * (K(y \ 1,y) * K(x,x \ y)). [para(7282(a,2),4975(a,2))]. 7285 K(x,L(y * K(x,x \ 1),z,u)) = K(x,L(x * (y / x),z,u)). [para(14(a,1),7281(a,1,2)),flip(a)]. 7287 K(x,L(K(x,x \ 1) * y,z,u)) = K(x,L(x * (y / x),z,u)). [para(2932(a,2),7285(a,1,2,1))]. 7288 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(x * (y / x),z,u)). [para(7287(a,1),7274(a,2))]. 7289 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(y,z,u)). [para(7288(a,2),5715(a,1))]. 7290 K(x \ 1,x) * K(y,y \ x) = (x \ 1) * (y * (x / y)). [hyper(6322,a,7284,a),flip(a)]. 7291 (1 / x) * (y * (x / y)) = K(y,y \ x). [hyper(2631,a,7290,a)]. 7292 K(x,x \ y) * K(y \ 1,y) = (y \ 1) * (x * (y / x)). [para(7290(a,1),2914(a,1)),flip(a)]. 7293 x / (K(y \ x,y) * ((x \ 1) \ 1)) = (x \ 1) * (y * (x / y)). [para(7290(a,1),5460(a,2))]. 7294 x * (y * ((x \ 1) / y)) = K(y,y \ (x \ 1)). [para(57(a,1),7291(a,1,1))]. 7295 (x * ((1 / y) / x)) * y = K(x,x \ (y \ 1)). [para(7294(a,1),4991(a,2))]. 7296 K(x,(x * y) \ 1) = K(x,x \ (y \ 1)). [para(7295(a,1),5666(a,1)),flip(a)]. 7297 (x * K(y,y \ 1)) / K(z,z \ y) = x / ((y \ 1) * (z * (y / z))). [para(7292(a,1),4892(a,2,2))]. 7298 x / T((y \ x) * y,x \ 1) = (x \ 1) * (y * (x / y)). [para(6194(a,1),7293(a,1,2))]. 7299 (x * (y / x)) / (((x \ 1) * y) \ y) = ((x \ 1) * y) * K(x,x \ y). [para(6547(a,1),5399(a,1,2)),flip(a)]. 7300 (x * (y / x)) / (((x \ 1) * y) \ y) = y / R(x,x \ 1,y). [para(7299(a,2),6734(a,1))]. 7301 ((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y). [para(5218(a,2),5416(a,1,2,1,2,2))]. 7302 (x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y). [para(7301(a,1),1745(a,1)),flip(a)]. 7303 (x * ((y \ T(z * K(x,y),x)) * y)) / x = ((y \ z) * y) * K(x,y). [para(104(a,1),7302(a,1,1,2))]. 7304 (((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x). [para(4984(a,1),7303(a,1,1))]. 7305 (x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x). [para(7304(a,1),15(a,1)),flip(a)]. 7306 (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(7305(a,1),6856(a,1,1))]. 7307 T(x,y) \ ((x \ z) * x) = T(T(x,y) \ z,x). [hyper(371,a,7306,a)]. 7308 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [para(7306(a,1),15(a,1))]. 7309 T(T(x,y) \ (x * z),x) = T(x,y) \ (z * x). [para(13(a,1),7307(a,1,2,1)),flip(a)]. 7310 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [para(7308(a,1),279(a,1))]. 7311 x * K(T(y,z) \ x,y) = (y \ x) * y. [para(7308(a,1),6437(a,1)),flip(a)]. 7312 K(T(x,y) \ z,x) = K(x \ z,x). [hyper(17,a,185,a,b,7311,a)]. 7313 K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. [para(5403(a,1),7311(a,1,2,1))]. 7314 K((x / y) \ z,x / y) = K((y \ x) \ z,x / y). [para(106(a,1),7312(a,1,1,1)),flip(a)]. 7316 K(x \ K(x,y),x) = K(x \ 1,x). [para(5403(a,1),7312(a,1,1)),flip(a)]. 7317 T(x * K(x \ y,x),z) \ y = y / T(x,z). [para(7312(a,1),5856(a,1,1,1,2))]. 7319 K(x,y) / (K(x,y) / x) = x * K(x \ 1,x). [para(7316(a,1),5100(a,2,2))]. 7320 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6859,a,7310,a)]. 7321 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(13(a,1),7320(a,1,2,1)),flip(a)]. 7322 T(x * K(y,z),z) = T(x,z) * K(y,z). [para(7320(a,1),279(a,1))]. 7323 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(7320(a,1),1788(a,1,1)),flip(a)]. 7324 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(7320(a,1),6278(a,1,2)),flip(a)]. 7325 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(7320(a,1),6319(a,1,1)),flip(a)]. 7327 T(K(x,y) * z,y) / T(z,y) = K(x,y). [hyper(74,a,7321,a(flip))]. 7330 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5754(a,1),7321(a,1,1)),flip(a)]. 7331 K(x,T(K(y,z) * u,z) \ 1) = K(x,T(u,z) \ K(z,y)). [para(7321(a,2),6530(a,1,2,1))]. 7333 T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). [para(38(a,1),7324(a,2,2))]. 7334 x \ T(K(y,z) * (K(y,z) \ (x * u)),y) = (x \ K(y,z)) * T((x \ K(y,z)) \ u,y). [para(7324(a,2),866(a,1,2))]. 7335 T(K(x,y) * K(z \ 1,z),x) = K(z \ 1,z) * K(x,y). [para(7324(a,2),2988(a,1))]. 7336 T(K(x,y) * (K(x,y) \ ((z \ 1) \ K(x,y))),x) = K(z,x) * ((z \ 1) \ K(x,y)). [para(7324(a,2),5208(a,2)),flip(a)]. 7338 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [para(7325(a,2),5504(a,1,2))]. 7339 T(x * y,x) / T(T(x,z) * y,x) = K(z,x). [para(5178(a,1),7327(a,1,1,1))]. 7340 K(x,y) / ((x \ 1) \ 1) = x \ K(x,y). [hyper(2452,a,7313,a)]. 7341 (x * y) \ K(x * y,x \ (1 / y)) = 1 / (x * y). [para(7340(a,1),5458(a,1))]. 7342 T(x / (x / y),z) \ x = x / T(y,z). [para(5100(a,2),7317(a,1,1,1))]. 7343 x / T(y \ x,z) = T(x / y,z) \ x. [para(5111(a,1),7317(a,1,1,1)),flip(a)]. 7344 x / T(y,L(y,z,u) * (y \ x)) = L(y,y \ x,L(y,z,u)) \ x. [para(5384(a,1),7317(a,1,1)),flip(a)]. 7346 x / (x / T(y,z)) = T(x / (x / y),z). [para(7342(a,1),57(a,1,2))]. 7347 T(x,y) / T(z * (x / z),u) = T(z * (x / z),u) \ T(x,y). [para(6936(a,1),7342(a,1,1,1)),flip(a)]. 7349 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(7343(a,1),59(a,1,1))]. 7353 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [para(57(a,1),7349(a,1,1,1,1))]. 7354 (T(x,y) \ z) * T((x \ z) \ z,y) = z. [para(7353(a,1),14(a,1,2))]. 7355 T(((x / y) \ z) \ z,y) = ((y \ x) \ z) \ z. [para(106(a,1),7353(a,1,1,1)),flip(a)]. 7357 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [para(7353(a,2),195(a,2))]. 7358 (T((x \ y) * x,z) \ y) * T((x \ y) * x,z) = y. [para(5133(a,1),7354(a,1,2,1))]. 7359 x / T(T(y,z),y \ x) = T(y,z) \ x. [para(7357(a,2),57(a,1,2))]. 7360 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(38(a,1),7359(a,1,2))]. 7361 K(x,y) / (K(x,y) / x) = 1 / (1 / x). [para(7319(a,2),1394(a,1))]. 7362 (1 / (1 / x)) \ K(x,y) = K(x,y) / x. [para(7361(a,1),59(a,1,1))]. 7363 K(x \ 1,y) / (x \ 1) = (1 / x) \ K(x \ 1,y). [para(57(a,1),7362(a,1,1,2)),flip(a)]. 7364 x \ T(y * (x / y),y) = K(x,y) * K(y,y \ x). [para(5432(a,1),7338(a,1,2,1))]. 7365 (((x / y) \ z) \ z) * y = y * (((y \ x) \ z) \ z). [para(7355(a,1),104(a,1,2)),flip(a)]. 7368 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [para(7333(a,2),5532(a,1))]. 7369 (x * K(y,z)) \ K(x * K(y,z),x \ K(z,y)) = 1 / (x * K(y,z)). [para(5344(a,1),7341(a,1,2,2,2))]. 7370 x / T((y \ x) * y,z) = T((y \ x) * y,z) \ x. [hyper(74,a,7358,a)]. 7371 (1 / x) \ K(x \ 1,y) = K(y,x \ 1) \ x. [para(7363(a,1),6560(a,1))]. 7372 K(x,y \ 1) \ y = ((x * (1 / y)) / x) \ 1. [para(7371(a,1),5632(a,2)),flip(a)]. 7373 (K(x,y \ 1) / y) \ 1 = K(x,y \ 1) \ y. [para(7371(a,1),5973(a,2))]. 7374 (x \ y) * ((((x \ y) \ y) \ z) \ z) = ((x \ z) \ z) * (x \ y). [para(57(a,1),7365(a,1,1,1,1)),flip(a)]. 7376 T((x \ y) * x,y \ 1) \ y = (y \ 1) * (x * (y / x)). [para(7370(a,1),7298(a,1))]. 7377 T((T(x,y) \ 1) * x,y) = K(x \ 1,x) * K(y,x). [para(5303(a,1),7335(a,1,1))]. 7378 T((T(x,y) \ 1) * x,y) = (T(x,y) \ 1) * x. [para(7377(a,2),5653(a,1))]. 7379 x \ T(x * K(y \ 1,y),y) = (T(y,x) \ 1) * y. [para(7378(a,1),6729(a,2))]. 7380 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [para(7323(a,2),281(a,1))]. 7381 K((x / y) \ 1,x * K(y,z)) = T(x * (y / x),z) \ T(y,z). [para(7347(a,1),7131(a,2))]. 7382 T(x,x \ y) * (x \ z) = (x \ z) * ((((x \ z) \ z) \ y) \ y). [para(105(a,2),7374(a,2,1)),flip(a)]. 7383 K((x / y) \ 1,x * K(y,z)) = K(x \ T(y,z),x). [para(7381(a,2),5597(a,1))]. 7384 T(x,((x \ y) \ y) \ z) = T(x,x \ z). [hyper(18,a,635,a,b,7382,a),flip(a)]. 7387 T(x,T(x,y) \ z) = T(x,x \ z). [para(6249(a,2),7384(a,1,2,1))]. 7389 T(x,x \ (T(x,y) * z)) = T(x,z). [para(13(a,1),7387(a,1,2)),flip(a)]. 7394 T(T(x,y) * z,T(x,z)) = T(T(x,y) * z,x). [para(7389(a,1),3950(a,1,2))]. 7395 T(x,K(x,y) * z) = T(x,z). [para(5504(a,1),7389(a,1,2))]. 7396 L(x,y,K(x,z)) * (K(x,z) * y) = K(x,z) * (y * T(x,y)). [para(7395(a,1),407(a,1,2,2)),flip(a)]. 7398 T(x,K(y,x) * z) = T(x,z). [para(5352(a,1),7395(a,1,2)),flip(a)]. 7399 T(x,T(y,x) * z) = T(x,y * z). [para(5178(a,1),7395(a,1,2)),flip(a)]. 7400 T(x,T(x,y) * z) = T(x,x * z). [para(5228(a,1),7395(a,1,2))]. 7401 T(x,T(y,x) \ z) = T(x,y \ z). [para(5534(a,1),7395(a,1,2))]. 7404 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7395(a,1),5672(a,1,1))]. 7405 T(x,(y / x) \ z) = T(x,(x \ y) \ z). [para(5828(a,1),7395(a,1,2)),flip(a)]. 7406 T(x,K(y,x) * T(x,z)) = x. [para(7398(a,2),156(a,1))]. 7408 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7398(a,1),4728(a,1,3))]. 7409 T(x,x * (T(x,y) \ z)) = T(x,z). [para(5179(a,2),7398(a,1,2))]. 7410 T(x,y * T(z,x)) = T(x,y * z). [para(5797(a,1),7398(a,1,2))]. 7411 T(x,y \ T(z,x)) = T(x,y \ z). [para(5801(a,1),7398(a,1,2))]. 7413 (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). [para(7399(a,1),630(a,1,1)),flip(a)]. 7414 T(x,y \ T(x,z)) = T(x,x * (1 / y)). [para(7400(a,1),7195(a,1)),flip(a)]. 7415 T(x,T(y,x) \ z) = x * K(x,y \ z). [para(7401(a,2),5200(a,1))]. 7416 T(x,(T(x,y) \ z) * x) = T(x,z). [para(7409(a,1),4462(a,2))]. 7418 T(x,y \ (z / x)) = T(x,y \ (x \ z)). [para(106(a,1),7411(a,1,2,2)),flip(a)]. 7419 T(x,y \ T(x,z)) = T(x,y \ x). [para(7414(a,2),4472(a,1))]. 7421 K(x,T(y,x) \ z) = K(x,y \ z). [hyper(5247,a,7415,a)]. 7424 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [para(106(a,1),7421(a,1,2,1)),flip(a)]. 7425 K(x,(x \ T(y * x,x \ 1)) \ z) = K(x,(((x \ 1) \ y) * (x \ 1)) \ z). [para(2138(a,1),7421(a,1,2,1))]. 7426 L(x,y,K(x,z)) * (K(x,z) * y) = K(x,z) * (x * y). [para(104(a,1),7396(a,2,2))]. 7427 L(x,y,K(x,z)) = x. [hyper(18,a,5574,a(flip),b,7426,a)]. 7428 L(T(x,y),z,K(x,u)) = T(x,y). [para(7427(a,1),40(a,2,1))]. 7429 L(L(x,y,z),u,K(x,w)) = L(x,y,z). [para(7427(a,1),45(a,1,1)),flip(a)]. 7430 (K(x,y) * z) * x = K(x,y) * (z * x). [para(7427(a,1),89(a,1,2))]. 7431 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(7427(a,1),312(a,1,2,1))]. 7432 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(7427(a,1),313(a,1,2,1))]. 7435 L(x,y,R(K(x,z),u,w)) = x. [para(6946(a,1),7427(a,1,3))]. 7436 L(K(x,y),z,K(x,u)) = K(x,y). [para(7427(a,1),7050(a,1,1)),flip(a)]. 7437 L(x,y,K(R(x,z,u),w)) = x. [para(7079(a,1),7435(a,1,3))]. 7438 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). [para(7437(a,1),310(a,1,2,2)),flip(a)]. 7439 (K(x,y) * (x \ z)) \ (K(x,y) * z) = T(x,x \ z). [para(7428(a,1),205(a,1)),flip(a)]. 7442 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(7436(a,1),40(a,2,1))]. 7443 L(R(K(x,y),z,u),w,K(x,v5)) = R(K(x,y),z,u). [para(7436(a,1),44(a,1,1)),flip(a)]. 7444 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(7436(a,1),89(a,1,2))]. 7445 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(7436(a,1),4453(a,1,1,1))]. 7446 T(x / (x / K(y,z)),x) = K(y,z). [para(7436(a,1),4540(a,2))]. 7448 T((T(x,y) / z) / (x / z),T(x,y) / z) = K((z \ 1) \ (x / z),y). [para(6604(a,1),7446(a,1,1,2))]. 7449 L(x,y,K(z,x)) = x. [para(7429(a,1),6923(a,1))]. 7451 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(7449(a,1),45(a,1,1)),flip(a)]. 7452 (K(x,y) * z) * y = K(x,y) * (z * y). [para(7449(a,1),89(a,1,2))]. 7453 K(x,y) * (T(z,K(x,y)) * y) = (z * K(x,y)) * y. [para(7449(a,1),314(a,1,2)),flip(a)]. 7454 (K(x,y) * z) * L(y,u,w) = K(x,y) * (z * L(y,u,w)). [para(7449(a,1),313(a,1,2,1))]. 7458 L(K(x,y),z,K(u,x)) = K(x,y). [para(7449(a,1),7050(a,1,1)),flip(a)]. 7459 (K(x,y) * z) / L(y,u,w) = K(x,y) * (z / L(y,u,w)). [para(7451(a,1),353(a,1,2))]. 7462 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(4663(a,1),7430(a,1,1))]. 7463 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(14(a,1),7445(a,1,1)),flip(a)]. 7464 T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). [para(7445(a,1),38(a,1,1)),flip(a)]. 7465 T(K(x,y) \ z,K(y,x)) = z * K(y,x). [para(5336(a,2),7445(a,1,1))]. 7466 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(5352(a,1),7445(a,1,1)),flip(a)]. 7467 T(T(x,y) * z,K(x,y)) = (x * z) * K(x,y). [para(5228(a,1),7445(a,1,1))]. 7468 (T(x,y) \ z) * K(x,y) = T(x \ z,K(x,y)). [para(5521(a,1),7445(a,1,1)),flip(a)]. 7471 R(K(x,y),z,y) = K(x,y). [hyper(329,a,7452,a)]. 7473 K(x,R(y,z,y)) = K(x,y). [para(7471(a,1),6971(a,1)),flip(a)]. 7474 K(R(x,y,z),z) = K(x,z). [para(7471(a,1),7079(a,1)),flip(a)]. 7475 K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1). [para(1647(a,1),7473(a,1,2))]. 7476 K(x,T(y,y * z)) = K(x,T(y,z)). [para(4491(a,1),7473(a,1,2)),flip(a)]. 7477 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4514(a,1),7473(a,1,2))]. 7478 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(7473(a,1),5767(a,1,2)),flip(a)]. 7479 K(T(x / (y * z),y),z) = K(y \ (x / z),z). [para(422(a,1),7474(a,1,1))]. 7480 K(x,T(y * z,y * (z * u))) = K(x,T(y * z,L(u,z,y))). [para(89(a,1),7476(a,1,2,2))]. 7481 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(1247(a,1),7476(a,1,2)),flip(a)]. 7482 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,T(((y \ 1) * z) \ z,z)). [para(4259(a,1),7476(a,1,2,2)),flip(a)]. 7483 K(x,T(y,z * y)) = K(x,T(y,z)). [para(4462(a,2),7476(a,1,2))]. 7484 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(105(a,1),7477(a,1,2))]. 7485 K(x,T(y / z,y)) = K(x,z \ y). [para(196(a,1),7477(a,1,2)),flip(a)]. 7486 K(x,T(y * z,y \ 1)) = K(x,T(y * z,z)). [para(4241(a,1),7477(a,1,2))]. 7487 T(x,x \ y) * K(z,T(x,y)) = T(x * K(z,x),x \ y). [para(7477(a,1),5672(a,1,2))]. 7488 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,y)). [para(7484(a,1),431(a,2))]. 7489 K(x,(L(y,z,u) * (y \ w)) \ (L(y,z,u) * w)) = K(x,T(y,L(y,z,u) * w)). [para(852(a,1),7484(a,1,2,1))]. 7490 K(x,T(y \ 1,y \ z)) = K(x,T(y \ 1,z)). [para(4413(a,1),7484(a,1,2)),flip(a)]. 7491 K(x,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). [para(344(a,1),7485(a,1,2))]. 7493 (x \ K(y,z)) * K(x * K(z,y),x \ K(y,z)) = 1 / (1 / (x \ K(y,z))). [para(7465(a,1),6310(a,1,2,1))]. 7494 (K(x,y) * z) \ T(z,K(y,x)) = K(y,x). [hyper(68,a,7466,a)]. 7495 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [para(7442(a,1),6787(a,1)),flip(a)]. 7497 T(K(x,y),T(z,x)) = T(K(x,y),z). [para(5158(a,1),7495(a,1,2)),flip(a)]. 7498 T(K(x,y),z * x) = T(K(x,y),x * z). [para(5134(a,1),7495(a,1,2)),flip(a)]. 7499 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(5352(a,1),7495(a,1,2)),flip(a)]. 7501 T(K(x \ T(y,z),u),T(y,x \ y)) = T(K(x \ T(y,z),u),y). [para(7419(a,1),7497(a,1,2))]. 7502 T(K(x,y),(x \ z) * x) = T(K(x,y),z). [para(14(a,1),7498(a,2,2))]. 7503 T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). [para(5958(a,1),7499(a,1,2,1))]. 7504 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [para(7478(a,2),3166(a,1))]. 7505 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5958(a,1),7478(a,2,2))]. 7506 K(x,y) * T(K(x,z) * u,K(x,y)) = K(x,z) * (u * K(x,y)). [para(7444(a,1),104(a,2))]. 7508 K(x,R(y,z,x)) = K(x,y). [hyper(6796,a,7462,a)]. 7509 T(x,R(y,z,x)) = x * K(x,y). [para(7508(a,1),5200(a,2,2))]. 7510 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(6971(a,1),7508(a,1,2))]. 7511 T(x,R(y,z,x)) = T(x,y). [para(7509(a,2),5200(a,2)),flip(a)]. 7512 T(x,T(y / (z * x),z)) = T(x,z \ (y / x)). [para(422(a,1),7511(a,1,2))]. 7513 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(498(a,1),7511(a,1,2))]. 7520 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(501(a,1),7510(a,1,2,2))]. 7521 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(329,a,7431,a)]. 7522 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(5134(a,1),7431(a,1,1)),flip(a)]. 7523 (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(7431(a,1),5510(a,1,1,2))]. 7524 K(x,R(y,z,R(x,u,w))) = K(x,y). [para(7521(a,1),6971(a,1)),flip(a)]. 7525 K(R(x,y,R(x,z,u)),w) = K(x,w). [para(7521(a,1),7079(a,1)),flip(a)]. 7526 K(x,T((y * R(x,z,u)) / w,w / R(x,z,u))) = K(x,(w / R(x,z,u)) \ y). [para(501(a,1),7524(a,1,2))]. 7527 K(R(x,y,x),z) = K(x,z). [para(242(a,1),7525(a,1,1,3))]. 7528 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(7525(a,1),5214(a,2,1)),flip(a)]. 7529 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(7525(a,1),6553(a,1,1,1)),flip(a)]. 7530 K((x \ y) \ T(y,x),z) = K(x,z). [para(4447(a,1),7527(a,1,1))]. 7531 K(T(x,x * y),z) = K(T(x,y),z). [para(4491(a,1),7527(a,1,1)),flip(a)]. 7532 K(T(x,x \ y),z) = K(T(x,y),z). [para(4514(a,1),7527(a,1,1))]. 7533 x * K(R(x,y,x),z) = T(x,z). [para(7527(a,2),5200(a,2,2)),flip(a)]. 7534 K(x,y) * R(x,z,x) = T(R(x,z,x),y). [para(7527(a,1),5214(a,2,1)),flip(a)]. 7535 K(T(x,y * x),z) = K(T(x,y),z). [para(4462(a,2),7531(a,1,1))]. 7536 K((x \ y) \ y,z) = K(T(x,y),z). [para(105(a,1),7532(a,1,1))]. 7537 K(T(x / y,x),z) = K(y \ x,z). [para(196(a,1),7532(a,1,1)),flip(a)]. 7538 K(T(x \ 1,x * y),z) = K(T(x \ 1,y),z). [para(4379(a,1),7532(a,1,1))]. 7539 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(454(a,1),7536(a,1,1,1)),flip(a)]. 7540 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7536(a,1),7053(a,1,1)),flip(a)]. 7541 K(T(T(x / y,z),x),u) = K(T(y \ x,z),u). [para(7349(a,1),7536(a,1,1)),flip(a)]. 7542 K(T(T(x,y),x \ z),u) = K(T(T(x,y),z),u). [para(7357(a,2),7536(a,1,1))]. 7543 K(x,y) * R(x,z,x) = R(T(x,y),z,x). [para(7534(a,2),42(a,2)),flip(a)]. 7544 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [para(7543(a,1),3095(a,2))]. 7545 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [para(7543(a,1),5514(a,1,2))]. 7546 R(x,y,x) * (K(x,z) * u) = R(T(x,z),y,x) * u. [para(7544(a,1),4429(a,1,1)),flip(a)]. 7547 R(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(329,a,7454,a)]. 7548 K((x * L(y,z,u)) / w,y) = K(x / (w / L(y,z,u)),y). [para(7547(a,1),7098(a,1)),flip(a)]. 7549 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1280(a,2),7522(a,1,2))]. 7550 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(7528(a,2),42(a,2)),flip(a)]. 7551 K((K(x,(y / L(z,u,w)) \ 1) * L(z,u,w)) / y,z) = K((x * (1 / (y / L(z,u,w)))) / x,z). [para(5663(a,1),7548(a,2,1))]. 7552 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [para(7550(a,1),5612(a,1,2)),flip(a)]. 7553 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(7550(a,1),7462(a,1,1,2)),flip(a)]. 7554 K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). [para(57(a,1),7491(a,1,2,1,1))]. 7555 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5527(a,1),7408(a,1,2))]. 7556 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5527(a,1),7555(a,2,2))]. 7557 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(7556(a,1),304(a,1,2)),flip(a)]. 7558 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4298(a,1),7557(a,1,2,1))]. 7559 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4298(a,1),7558(a,2,2,2))]. 7560 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(7559(a,1),4323(a,1,1))]. 7561 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(42(a,2),7539(a,1,1))]. 7562 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(2442(a,1),7561(a,2,1,1))]. 7563 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7395(a,1),7404(a,1,2,2)),flip(a)]. 7564 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [para(7563(a,2),5672(a,1))]. 7566 T(x * K(y,x),T(z,x)) = T(x * K(y,x),z). [para(5158(a,1),7564(a,1,2)),flip(a)]. 7567 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [para(7564(a,1),5674(a,1))]. 7568 T(x * K(y,x),T(T(z,x),u)) = T(x * K(y,x),T(z,u)). [para(38(a,1),7566(a,1,2))]. 7569 T(x,y) * T(y * K(z,y),x) = (y * K(z,y)) * T(x,y). [para(7566(a,1),104(a,1,2))]. 7570 T(x * K(y,x),L(x,z,x) * z) = T(x * K(y,x),z * x). [para(4453(a,1),7566(a,1,2)),flip(a)]. 7571 L(x,y,x * K(y * x,x)) = T(x * K(y,x),x * y). [para(7566(a,1),6910(a,1)),flip(a)]. 7572 (x / T(y * K(x,y),y * x)) * y = T(y * x,y) / y. [para(7571(a,1),7116(a,1,1,2))]. 7573 (x * K(y,x)) * T(z,x) = z * (x * K(y,T(x,z))). [para(7569(a,1),5855(a,1))]. 7574 (x / L(y,x,y)) * y = T(y * x,y) / y. [para(5370(a,1),7572(a,1,1,2))]. 7575 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(7574(a,1),1035(a,1,1))]. 7576 (T(x * y,x) * K((T(x * y,x) \ x) \ 1,z)) / x = T((y / L(x,y,x)) * x,z). [para(7574(a,2),5789(a,2,1))]. 7577 T(x * K(y,x),y * x) = L(x,y,L(x,y,x)). [para(7570(a,1),5384(a,1))]. 7578 L(x,y,L(x,y,x)) = L(x,y,x). [para(7577(a,1),5396(a,1))]. 7579 L(x,y,L(x,y,x)) * T(y,x) = y * L(x,y,x). [para(7578(a,2),4484(a,1,1))]. 7580 L(x,y,x) * T(y * L(x,y,x),x) = (y * L(x,y,x)) * L(x,y,x). [para(7579(a,1),4594(a,1,1)),flip(a)]. 7581 (x * L(y,x,y)) * L(y,x,y) = L(y,x,y) * (T(x,y) * y). [para(4531(a,1),7580(a,1,2)),flip(a)]. 7582 T(x * L(y,x,y),L(y,x,y)) = T(x,y) * y. [hyper(131,a,7581,a(flip))]. 7583 K(K(x,y) * z,z \ K(y,x)) = K(z * K(x,y),z \ K(y,x)). [hyper(17,a,5445,a,b,7493,a),flip(a)]. 7584 (x * K(y,z)) \ K(K(y,z) * x,x \ K(z,y)) = 1 / (x * K(y,z)). [para(7583(a,2),7369(a,1,2))]. 7585 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5958(a,1),7505(a,1,1,2))]. 7586 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [para(14(a,1),7336(a,1,1)),flip(a)]. 7588 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(7586(a,2),1785(a,2,1,2))]. 7589 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(146(a,1),7553(a,2,1))]. 7590 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [para(7589(a,1),7549(a,1))]. 7591 T((x / L(y,x,y)) * y,z) = T(y * T(y \ (y * x),z),y) / y. [para(5792(a,1),7576(a,1,1)),flip(a)]. 7592 T((x / L(y,x,y)) * y,z) = T(y * T(x,z),y) / y. [para(13(a,1),7591(a,2,1,1,2,1))]. 7593 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [para(7574(a,1),7592(a,1,1)),flip(a)]. 7594 (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). [para(14(a,1),7334(a,1,2,1)),flip(a)]. 7596 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). [para(7438(a,2),15(a,1))]. 7597 R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). [para(7437(a,1),7596(a,1,3))]. 7598 ((x \ y) \ 1) * K((((x \ y) \ 1) \ (y \ 1)) \ 1,y) = T(y,x) \ (y * ((x \ y) \ 1)). [para(5994(a,1),5904(a,1))]. 7599 (x \ y) \ K(((x \ y) * (y \ 1)) \ 1,y) = T(y,x) \ (y * ((x \ y) \ 1)). [para(7598(a,1),6012(a,1)),flip(a)]. 7600 T(x,y) \ (x * ((y \ x) \ 1)) = (y \ x) \ K((y \ x) \ x,x). [para(6122(a,1),7599(a,1,2)),flip(a)]. 7601 T(x,y) \ (x * ((y \ x) \ 1)) = (y \ x) \ K(y,x). [para(6016(a,1),7600(a,2,2))]. 7602 K(x,y) * ((x \ y) \ 1) = (x \ y) \ K(x,y). [para(7601(a,1),5535(a,1)),flip(a)]. 7603 x \ (((y * x) / y) * ((y \ x) \ 1)) = (y \ x) \ K(y,x). [para(7601(a,1),5904(a,2))]. 7604 T(x,y) \ (((y \ x) \ 1) * x) = T((y \ x) \ K(y,x),x). [para(7601(a,1),7309(a,1,1)),flip(a)]. 7605 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(5661(a,1),6749(a,1,1,2))]. 7606 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [para(59(a,1),7605(a,2,1))]. 7607 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [para(7606(a,1),16(a,1,1))]. 7608 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(5452,a,7607,a)]. 7609 K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). [para(104(a,1),7607(a,1,2)),flip(a)]. 7610 K(x,y) * (K(x,z) * T(y,x)) = K(x,z) * y. [para(5158(a,1),7607(a,1,2)),flip(a)]. 7611 K(x,y) * T(K(x,z) * y,x) = K(x,z) * y. [para(7324(a,2),7610(a,1,2))]. 7612 K(x,K(x,y) * z) = K(x,z). [hyper(5184,a,7611,a)]. 7613 T(K(x,y) * z,K(x,z)) = K(x,y) * z. [para(7612(a,1),3158(a,1,2))]. 7614 K(x,K(y,x) \ z) = K(x,z). [para(5336(a,2),7612(a,1,2))]. 7615 K(x,K(y,x) * z) = K(x,z). [para(5352(a,1),7612(a,1,2)),flip(a)]. 7616 K(x,T(x,y) * z) = K(x,x * z). [para(5228(a,1),7612(a,1,2))]. 7617 K(x,T(x,y) \ z) = K(x,x \ z). [para(5521(a,1),7612(a,1,2)),flip(a)]. 7618 K(x,((y * x) / y) \ z) = K(x,x \ z). [para(5505(a,2),7612(a,1,2))]. 7619 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(6946(a,1),7612(a,1,2,1))]. 7620 ((x * (K(y,x) * z)) / x) / K(x,z) = K(y,x) * z. [para(7615(a,1),5362(a,1,2))]. 7621 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(5958(a,1),7615(a,1,2,1))]. 7622 K(x,y * T(z,x)) = K(x,y * z). [para(5797(a,1),7615(a,1,2))]. 7623 K(x,y \ T(z,x)) = K(x,y \ z). [para(5801(a,1),7615(a,1,2))]. 7624 K(x / y,(x / y) \ z) = K(x / y,(y \ x) \ z). [para(106(a,1),7617(a,1,2,1)),flip(a)]. 7626 K(x,(K(x,y) * z) * u) = K(x,z * u). [para(100(a,1),7619(a,1,2))]. 7627 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(6971(a,1),7621(a,1,2,1))]. 7628 K(x,T(y,R(x,z,u))) = K(x,y). [para(843(a,2),7627(a,1,2))]. 7629 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(5134(a,1),7627(a,1,2)),flip(a)]. 7630 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(5279(a,1),7627(a,1,2)),flip(a)]. 7631 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5534(a,1),7627(a,1,2))]. 7632 K(x,(y / R(x,z,u)) \ w) = K(x,(R(x,z,u) \ y) \ w). [para(5721(a,1),7627(a,1,2))]. 7633 T(x * K(y,x),R(y,z,u)) = T(x,R(y,z,u)) * K(y,x). [para(7628(a,1),5672(a,1,2)),flip(a)]. 7634 (((x * y) / x) \ z) * K(y,y \ z) = (y * (((x * y) / x) \ z)) / y. [para(7618(a,1),5172(a,2,2)),flip(a)]. 7635 K(x,x \ y) * (((z * x) / z) \ y) = (x * (((z * x) / z) \ y)) / x. [para(7618(a,1),5220(a,2,1)),flip(a)]. 7636 K(x,(y * x) * z) = K(x,(x * y) * z). [para(5134(a,1),7626(a,1,2,1)),flip(a)]. 7637 K(x,y) * (K(y,z) * (K(y,x) * u)) != w * u | K(y,z) = w. [para(7608(a,2),20(a,1))]. 7638 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(5352(a,1),7608(a,1,2,2)),flip(a)]. 7639 x * K(y / z,(z \ y) \ x) = (y / z) * (x / (y / z)). [para(7624(a,1),5432(a,1,2))]. 7640 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(42(a,2),7631(a,1,2,1))]. 7641 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(882(a,1),7631(a,1,2)),flip(a)]. 7642 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5352(a,1),7638(a,2,2))]. 7643 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(7050(a,1),7638(a,1,2,1)),flip(a)]. 7644 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(((x * (y * x)) / x) / y,T(x,y * x) \ z). [para(1180(a,1),7639(a,1,2,2,1)),flip(a)]. 7645 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(17,a,7506,a,b,7609,a),flip(a)]. 7646 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(6313,a,7645,a),flip(a)]. 7647 (R(x,y,z) * (((u * R(x,y,z)) / u) \ x)) / R(x,y,z) = 1 * (((u * R(x,y,z)) / u) \ x). [para(7111(a,1),7635(a,1,1)),flip(a)]. 7648 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(7050(a,1),7643(a,1,1))]. 7649 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),7641(a,1,2,2,2,1))]. 7650 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(13(a,1),7649(a,1,2))]. 7652 K((x \ (y \ z)) \ 1,L(x \ (y \ z),u,w)) = K(((y * x) \ z) \ 1,(y * x) \ z). [para(171(a,1),6775(a,1,2)),flip(a)]. 7653 K((x \ (y \ z)) \ 1,L(x \ (y \ z),u,w)) = K(z \ (y * x),(y * x) \ z). [para(7652(a,2),2568(a,1))]. 7654 K((x \ (y \ z)) \ 1,(y * x) \ z) = K(z \ (y * x),(y * x) \ z). [para(171(a,1),7653(a,1,2))]. 7655 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4440(a,1),6993(a,1,2))]. 7656 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [para(7655(a,2),5767(a,1))]. 7657 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(7527(a,1),7656(a,1,1,1,1))]. 7658 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(7112(a,1),7657(a,1,1))]. 7660 (R(x,y,z) * (((u * R(x,y,z)) / u) \ x)) / R(x,y,z) = 1 * (R((u * x) / u,y,z) \ x). [para(552(a,2),7647(a,2,2,1))]. 7661 (R(x,y,z) * (((u * R(x,y,z)) / u) \ x)) / R(x,y,z) = R((u * x) / u,y,z) \ x. [hyper(64,a,7660,a(flip)),flip(a)]. 7662 (R(x,y,z) * (R((u * x) / u,y,z) \ x)) / R(x,y,z) = R((u * x) / u,y,z) \ x. [para(552(a,2),7661(a,1,1,2,1))]. 7663 R((x * y) / x,z,u) \ y = (y * K(R(y,z,u),x)) / R(y,z,u). [para(6834(a,1),7662(a,1,1)),flip(a)]. 7664 R((x * y) / x,z,y) \ y = T(y,x) / R(y,z,y). [para(7533(a,1),7663(a,2,1))]. 7665 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [para(7664(a,2),7110(a,1))]. 7666 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [para(4565(a,1),6216(a,1))]. 7667 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [para(7666(a,1),5829(a,1))]. 7668 K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). [para(7667(a,1),5829(a,1))]. 7671 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / ((y * z) * K(z,u)). [para(5200(a,2),6477(a,2,1,2))]. 7672 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6409(a,1),7671(a,2,2))]. 7673 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = R(x,y,T(z,u)). [para(7672(a,2),30(a,2)),flip(a)]. 7674 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [para(6472(a,1),7673(a,1,3))]. 7676 K((K(x,L(y,z,u) / w) * L(y,z,u)) / w,y) = K((x * (1 / (w / L(y,z,u)))) / x,y). [para(5838(a,1),7551(a,1,1,1,1))]. 7677 ((x \ y) \ K(x,y)) * T(y,y * ((x \ y) \ 1)) = (y \ (y * ((x \ y) \ 1))) * y. [para(7603(a,1),6075(a,1,1))]. 7678 ((x \ y) \ K(x,y)) * T(y,(x \ y) \ y) = (y \ (y * ((x \ y) \ 1))) * y. [para(1247(a,1),7677(a,1,2))]. 7679 ((x \ y) \ K(x,y)) * T(y,x) = (y \ (y * ((x \ y) \ 1))) * y. [para(3946(a,1),7678(a,1,2))]. 7680 ((x \ y) \ K(x,y)) * T(y,x) = ((x \ y) \ 1) * y. [para(13(a,1),7679(a,2,1))]. 7682 T((x \ y) \ K(x,y),T(y,x)) = T(y,x) \ (((x \ y) \ 1) * y). [para(7680(a,1),32(a,2,2))]. 7683 T((x \ y) \ K(x,y),T(y,x)) = T((x \ y) \ K(x,y),y). [para(7682(a,2),7604(a,1))]. 7684 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(x \ (x * y),u,w)) * K(y,z). [para(6433(a,1),6450(a,1,1,2,1,1)),flip(a)]. 7685 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(y,u,w)) * K(y,z). [para(13(a,1),7684(a,2,1,2,1))]. 7686 (x * R(y,z,u)) * K(y,w) = x * (R(y,z,u) * K(y,w)). [para(6433(a,1),7685(a,1,1)),flip(a)]. 7687 L(K(x,y),R(x,z,u),w) = K(x,y). [hyper(306,a,7686,a)]. 7688 T(x * K(((x \ y) \ 1) \ x,z),K(z,((x \ y) \ 1) \ x)) = ((T(y,z) / (x \ y)) \ x) \ x. [para(5332(a,1),6608(a,1,2))]. 7689 T(R(x,y,x),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(5397(a,1),6744(a,1,1,1))]. 7690 R(T(x,y),z,x) * (T(x,z) \ (x * z)) = T(x,z) \ ((T(x,y) * z) * T(x,z)). [para(42(a,2),7689(a,1,1))]. 7691 T(x,y) \ ((T(x,z) * y) * T(x,y)) = R(T(x,z),y,x) * T(y,x). [para(4286(a,1),7690(a,1,2)),flip(a)]. 7692 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,T(x,z)). [para(7691(a,1),32(a,2)),flip(a)]. 7693 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,x). [para(7692(a,2),7394(a,1))]. 7694 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K(x,(x \ 1) * y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(4563(a,2),7177(a,1,2,1,2,2))]. 7695 (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(5174(a,1),7523(a,1,1))]. 7696 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [para(7695(a,1),24(a,2)),flip(a)]. 7697 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5521(a,1),7696(a,1,2)),flip(a)]. 7698 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(5244(a,1),4678(a,1,1,1,1))]. 7699 T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(6817(a,1),7698(a,1,1))]. 7700 T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). [para(7699(a,2),5697(a,1))]. 7701 T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). [para(45(a,1),7700(a,1,1,2))]. 7702 (1 / x) / (y \ T(1 / x,z)) = (x \ 1) / (y \ T(x \ 1,z)). [para(6354(a,1),4820(a,1))]. 7703 (1 / x) / (((x \ 1) / (y * (x \ 1))) \ T(1 / x,y)) = (x \ 1) / ((x \ 1) * y). [para(6701(a,1),7702(a,2,2))]. 7704 (1 / x) / ((1 / x) * y) = (x \ 1) / ((x \ 1) * y). [para(6894(a,1),7703(a,1,2))]. 7705 (x \ 1) / ((x \ 1) * (x * y)) = (1 / x) / L(y,x,x \ 1). [para(2634(a,1),7704(a,1,2)),flip(a)]. 7706 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [para(6692(a,1),1692(a,1))]. 7708 K(x \ (1 / y),T(x,y \ 1)) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(7477(a,1),5881(a,1,1))]. 7709 K(x \ (y \ 1),T(x,y \ 1)) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(6625(a,1),7708(a,1,1))]. 7710 K(x \ (y \ 1),x) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(4040(a,1),7709(a,1,1))]. 7711 K(x \ (y \ 1),x) / (x * (x \ (1 / y))) = 1 / (x * ((1 / y) / x)). [para(4888(a,1),7710(a,1,2))]. 7712 K(x \ (y \ 1),x) / (1 / y) = 1 / (x * ((1 / y) / x)). [para(14(a,1),7711(a,1,2))]. 7714 a((x * y) \ 1,(x * y) / x,x) / x = 1 / L(x,y * K(x,y),1 / (x * y)). [para(16(a,1),6143(a,1,1)),flip(a)]. 7716 a((x * y) \ 1,(x * y) / x,x) / x = 1 / L(x,y * K(x,y),(x * y) \ 1). [para(3767(a,1),7714(a,2,2))]. 7717 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(((y * ((y * x) \ y)) / y) \ 1,y). [para(14(a,1),6183(a,1,2,1,1,2)),flip(a)]. 7718 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(((y * x) \ y) \ 1,y). [para(6501(a,1),7717(a,2,2))]. 7719 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(x,y). [para(6432(a,1),7718(a,2,2))]. 7720 (x * y) * ((y * x) \ y) = y * K(x,y). [para(5134(a,1),7719(a,1,1))]. 7722 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(727(a,1),6256(a,2,1))]. 7723 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [para(6257(a,1),7722(a,1))]. 7724 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(727(a,1),7723(a,1,1)),flip(a)]. 7725 ((T(x \ 1,y) * x) * z) \ (z * (T(x \ 1,y) * x)) = K(K(x \ 1,x) * z,K(x \ 1,y)). [para(6277(a,1),6275(a,1,2))]. 7726 K(K(x \ 1,x) * y,K(x \ 1,z)) = K(y,T(x \ 1,z) * x). [para(7725(a,1),26(a,2)),flip(a)]. 7727 (x * (T(y \ 1,z) * y)) \ ((T(y \ 1,z) * y) * x) = K(K(y \ 1,z),K(y \ 1,y) * x). [para(6277(a,1),6276(a,1,1))]. 7728 K(K(x \ 1,y),K(x \ 1,x) * z) = K(T(x \ 1,y) * x,z). [para(7727(a,1),26(a,2)),flip(a)]. 7729 ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = (x * K(y,z)) * (y * L(K(z,y),u,w)). [para(13(a,1),6506(a,2,2,2,1))]. 7731 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K((x \ 1) \ 1,(x \ 1) * y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(3074(a,2),7694(a,1,2,1,2,2))]. 7732 T(((x * y) * (x \ 1)) \ T((x * y) * (x \ 1),x),z) = T(K(x,y),z) \ 1. [para(6250(a,2),4604(a,2,1,1))]. 7733 T(((x * y) * (x \ 1)) \ R(y,x,x \ 1),z) = T(K(x,y),z) \ 1. [para(508(a,1),7732(a,1,1,2))]. 7734 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(6231(a,2),7733(a,1,1)),flip(a)]. 7735 1 / T(K(x,y),z) = T(K(y,x),z). [para(7734(a,1),57(a,1,2))]. 7736 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(7734(a,1),154(a,1,2)),flip(a)]. 7737 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(7734(a,1),5150(a,2,2)),flip(a)]. 7738 T(K(x,R(y \ 1,z,u) \ 1),w) = T(R(K(y,x),z,u),w) \ 1. [para(5958(a,1),7734(a,1,1,1)),flip(a)]. 7739 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(7734(a,1),6093(a,2))]. 7740 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(7734(a,1),5348(a,1,2,1))]. 7741 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [para(7737(a,1),2116(a,2))]. 7742 K(K(x,y),z) = K(z,K(y,x)). [para(7737(a,1),5424(a,1)),flip(a)]. 7743 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [para(7737(a,1),6593(a,2))]. 7744 x * K(K(y,z),x) = T(x,K(z,y)). [para(7742(a,2),5200(a,2,2)),flip(a)]. 7745 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(7742(a,1),5214(a,2,1)),flip(a)]. 7746 K(x,K(y,z)) * K(x,K(z,y)) = 1. [para(7742(a,1),5333(a,1,1))]. 7747 K(x,K(y,z)) * u != 1 | K(x,K(z,y)) = u. [para(7742(a,1),5355(a,1,1))]. 7748 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(7742(a,1),5228(a,1,1))]. 7749 T(T(x,K(y,z)),K(z,y)) = x. [para(7744(a,1),5171(a,1,1))]. 7750 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(7744(a,1),5216(a,1,1))]. 7751 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [para(7744(a,1),5221(a,1))]. 7752 T(T(x,K(y,z)),K(z,y) * x) = L(x,K(z,y),x). [para(7744(a,1),5396(a,1,1))]. 7753 x * K((T(y,z) / (u \ y)) / u,x) = T(x,K(z,u / ((u \ y) \ 1))). [para(5906(a,1),7744(a,1,2,1))]. 7755 T(K(x,y),K(x,z)) = K(x,y). [para(2112(a,1),7749(a,1,1))]. 7756 T(K(x,y),K(z,y)) = K(x,y). [para(2113(a,1),7749(a,1,1))]. 7757 T(x * K(y,z),K(z,y)) = K(y,z) * x. [para(7445(a,1),7749(a,1,1))]. 7759 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(7755(a,1),104(a,1,2))]. 7761 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [para(7755(a,1),7466(a,2))]. 7762 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(7756(a,1),104(a,1,2))]. 7763 K(x,R(T(K(x,y),z),u,w)) = 1. [para(7739(a,1),3115(a,1,2,1))]. 7764 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(6233(a,1),7739(a,1,2,2))]. 7765 K(x,y) * (y * K(z,y)) = (y * K(z,y)) * K(x,y). [para(4065(a,1),7750(a,1,1)),flip(a)]. 7766 T(x * K(y,z),u) * K(z,y) = K(z,y) * T(K(y,z) * x,u). [para(7464(a,1),7750(a,1,1))]. 7767 (x * T(x \ y,z)) / K((x / y) \ 1,z) = T(y,K(z,(x / y) \ 1)). [para(5795(a,1),7751(a,1,1)),flip(a)]. 7768 x / K(y,z) = x * K(z,y). [para(7751(a,1),7465(a,1))]. 7769 (x * K(y,z)) \ x = K(z,y). [hyper(371,a,7768,a)]. 7770 (x * K(y,z)) * K(z,y) = x. [hyper(73,a,7768,a)]. 7773 R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [para(7768(a,1),179(a,1,1,1))]. 7774 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(7768(a,1),179(a,1,1))]. 7775 T(x * (y * K(z,u)),L(K(u,z),y / K(u,z),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(7768(a,1),502(a,1,1,2))]. 7776 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z / K(x,y)). [para(7768(a,1),2033(a,1,1,2))]. 7778 x / (K(y,z) \ 1) = x * K(y,z). [para(5332(a,2),7768(a,1,2))]. 7780 (x * K(y,y \ 1)) / K(z,y) = x * (T(y,z) * (1 / y)). [para(7768(a,2),5762(a,1))]. 7781 (x * y) / K(z,y) = x * T(y,z). [para(7768(a,2),6409(a,1))]. 7782 (x / T(y,z)) / K(z,y) = x / y. [para(7768(a,2),6423(a,1))]. 7783 (x * K(y,y \ 1)) * K(z \ y,z) = x / ((y \ 1) * (z * (y / z))). [para(7768(a,1),7297(a,1))]. 7784 ((x * (K(y,x) * z)) / x) * K(z,x) = K(y,x) * z. [para(7768(a,1),7620(a,1))]. 7785 (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y). [para(7768(a,1),5347(a,2))]. 7786 x * K(y,z) != u | u * K(z,y) = x. [para(7769(a,1),72(a,1,2)),flip(b)]. 7787 (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) = K(u,z). [para(193(a,1),7769(a,1,1))]. 7789 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(7769(a,2),5336(a,1,1))]. 7790 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(y,w),z,u) \ 1. [para(7769(a,2),6337(a,1))]. 7791 (x * T(y,z)) \ (x * y) = K(z,y). [para(6409(a,1),7769(a,1,1))]. 7792 (x / y) \ (x / T(y,z)) = K(z,y). [para(6423(a,1),7769(a,1,1))]. 7793 (T(x,y) * z) \ (x * z) = K(y,T(x,z)). [para(6408(a,1),7769(a,1,1))]. 7794 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(6437(a,2),7769(a,1,1))]. 7795 (x \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). [para(6495(a,2),7769(a,1,1))]. 7796 K(x,(y \ 1) \ (y \ z)) = (y \ T(z,x)) \ (y \ z). [para(6496(a,1),7769(a,1,1)),flip(a)]. 7797 K(x,(y \ 1) \ (z / y)) = (T(z,x) / y) \ (z / y). [para(6572(a,1),7769(a,1,1)),flip(a)]. 7798 K(x,((y \ z) \ 1) \ y) = (T(z,x) / (y \ z)) \ y. [para(6575(a,2),7769(a,1,1)),flip(a)]. 7799 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(7080(a,1),7769(a,1,1,2)),flip(a)]. 7800 (x * (T(y,z) \ 1)) * K(y,z) = x * (y \ 1). [hyper(7017,a,7770,a),flip(a)]. 7801 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [hyper(6591,a,7770,a),flip(a)]. 7802 (x \ y) * K(y,x) = x \ T(y,x). [hyper(6460,a,7770,a),flip(a)]. 7803 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(18,a,6542,a,b,7770,a)]. 7804 (x / y) * K(z,y) = x / T(y,z). [hyper(18,a,6423,a,b,7770,a)]. 7805 (x * T(y,z)) * K(z,y) = x * y. [hyper(18,a,6409,a,b,7770,a)]. 7806 (T(x,y) \ K(x,z)) * K(z,x) = T(x,y) \ 1. [hyper(18,a,6014,a,b,7770,a)]. 7807 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(18,a,5636,a,b,7770,a)]. 7808 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). [para(7770(a,1),24(a,2,1,2)),flip(a)]. 7810 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(7770(a,1),89(a,1,1))]. 7811 (x * K(y,z)) * T(z,y) = x * z. [para(7770(a,1),6403(a,1,1)),flip(a)]. 7812 (x * K(y,z)) / z = x / T(z,y). [para(7770(a,1),6434(a,1,1)),flip(a)]. 7813 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(7770(a,1),7012(a,1,1)),flip(a)]. 7815 K(x,y) * (z / (K(y,x) \ 1)) = T(z,K(y,x)). [para(7778(a,2),5354(a,1,2))]. 7816 (x * T(y * K(z,y),u)) / K(z,T(y * K(z,y),u)) = x * T(y,u). [para(5231(a,1),7781(a,2,2))]. 7818 L(K(x,y),T(y,x),z) = K(x,y). [para(7791(a,1),5148(a,2))]. 7820 (x \ y) \ (y / T(T(x,x \ y),z)) = K(z,T(x,x \ y)). [para(159(a,1),7792(a,1,1))]. 7822 x \ T(x * y,x) = y * K(x * y,x). [para(13(a,1),7802(a,1,1)),flip(a)]. 7823 (x \ T(y,x)) \ ((x \ y) * (K(y,x) * z)) = L(z,K(y,x),x \ y). [para(7802(a,1),28(a,2,1)),flip(a)]. 7824 T(x,y) * K(x * y,y) = y \ T(x * y,y). [para(32(a,2),7802(a,1,1))]. 7825 x / T(y \ x,z) = y * K(z,y \ x). [para(57(a,1),7804(a,1,1)),flip(a)]. 7827 (x / y) * K(x,y) = T(x,y) / y. [para(7804(a,2),4330(a,2)),flip(a)]. 7829 (x * (y / x)) / T(y,z) = K(x,x \ y) * K(z,y). [para(5473(a,1),7804(a,1,1)),flip(a)]. 7830 K(x,y) * (x / y) = (x / y) * K(x,y). [para(7804(a,2),5539(a,2))]. 7831 (x * ((y \ z) \ 1)) / T(x,z \ y) = (y \ z) \ 1. [para(7804(a,1),6491(a,1))]. 7832 (x / T(y,z)) * y = x * K(z,y). [para(16(a,1),7805(a,1,1)),flip(a)]. 7835 T(x * T(y,z),K(z,y)) = K(y,z) * (x * y). [para(7805(a,1),5354(a,1,2)),flip(a)]. 7836 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(7805(a,1),6403(a,1,1)),flip(a)]. 7837 ((x * T(y,z)) / z) * K(z,y) = (x * y) / z. [para(7805(a,1),6458(a,1,1)),flip(a)]. 7838 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(7807(a,1),101(a,2,2))]. 7839 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(68,a,7811,a)]. 7841 T(x * K(y,z),T(z,y)) = T(z,y) \ (x * z). [para(7811(a,1),32(a,2,2))]. 7843 (x * K(y,z)) * z = (x * z) * K(y,z). [para(7811(a,1),7805(a,1,1)),flip(a)]. 7844 x \ (y * K(z,x)) = T(y / T(x,z),x). [para(7812(a,1),106(a,1,1)),flip(a)]. 7845 R(x / T(y,z),y,y \ 1) = (x * K(z,y)) * (y \ 1). [para(7812(a,1),346(a,1,1))]. 7846 (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) = L(z,K(x,y),x / y). [para(7827(a,1),28(a,2,1)),flip(a)]. 7847 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [para(7827(a,1),5400(a,1)),flip(a)]. 7850 (x * K(y,x \ z)) \ z = T(x \ z,y). [para(14(a,1),7839(a,1,2))]. 7852 (K(x,y) * K(z,y * x)) \ (x * y) = T(y * x,z). [para(5134(a,1),7839(a,1,2))]. 7853 T(x,((y \ x) * y) \ 1) = (z * K(x \ 1,x)) \ (z * x). [para(6873(a,1),7839(a,1,1,2)),flip(a)]. 7854 T(x / (y / z),K(z,z \ y)) = K(z \ y,z) * (x / (z \ y)). [para(6542(a,1),7757(a,1,1))]. 7855 K(x,K(x,y) / z) = K(x,z \ K(x,y)). [hyper(6584,a,7759,a)]. 7856 K(x,T(y * K(z,u),y)) = K(x,K(z,u) * y). [para(7789(a,1),7484(a,1,2)),flip(a)]. 7857 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(7789(a,1),7536(a,1,1)),flip(a)]. 7858 (((x \ y) \ y) * z) \ (x * z) = K(x \ y,T(x,z)). [para(105(a,1),7793(a,1,1,1))]. 7861 K(x,(y \ K(x,z)) \ u) = (y \ T(y * u,x)) \ u. [para(7594(a,1),7794(a,1,1)),flip(a)]. 7862 K((x \ 1) \ y,x) = K(x * y,x). [hyper(6570,a,7822,a)]. 7863 x * (y * K(x * y,x)) = T(x * y,x). [para(7822(a,1),14(a,1,2))]. 7864 T(x \ T(x * y,x),z) = T(y,z) * K(x * T(y,z),x). [para(7822(a,1),1885(a,1)),flip(a)]. 7865 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,x \ ((y \ 1) \ x)). [para(4250(a,1),7822(a,1,2,1)),flip(a)]. 7866 T(x * y,x) / T(x,y) = y * K(x * y,x). [para(7822(a,1),4702(a,2))]. 7867 x \ T(x * y,x) = y * K(y * x,x). [para(5920(a,2),7822(a,2,2))]. 7868 K((((x \ (x * y)) \ 1) * (x \ 1)) \ 1,x) / (y * K(x * y,x)) = 1 / (x \ (x * y)). [para(7822(a,1),7066(a,1,2))]. 7869 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [para(7862(a,1),3685(a,1))]. 7870 x * L(y * K(x * y,x),z,u) = T(x * L(y,z,u),x). [para(7862(a,1),6892(a,1,2,1,2))]. 7871 x * R(y * K(x * y,x),z,u) = T(x * R(y,z,u),x). [para(7862(a,1),6938(a,1,2,1,2))]. 7872 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(7862(a,1),7053(a,1,1))]. 7873 T(x / y,z) \ x = y * K(z,y \ x). [para(7825(a,1),7343(a,1)),flip(a)]. 7874 T(x / y,K(x,y)) = x / y. [hyper(131,a,7830,a)]. 7875 T(x / y,K(y,x)) = x / y. [hyper(18,a,7750,a,b,7830,a(flip)),flip(a)]. 7876 K(x,y) * (y / x) = (y / x) * K(x,y). [para(7874(a,1),7750(a,1,1)),flip(a)]. 7877 (x * T(y,z)) * T(z,y) = R(x,y,z) * (y * z). [para(7836(a,2),100(a,2)),flip(a)]. 7879 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(7836(a,1),4335(a,1,2))]. 7880 K(x,y) * z != (u * K(x,y)) * y | T(u * y,K(x,y)) = z. [para(7843(a,2),131(a,2))]. 7881 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = (x * K((x \ y) \ u,x \ y)) \ y. [para(7850(a,2),7439(a,2))]. 7883 (x * K(x * y,y)) * K(y,x) = T(y * x,y) / y. [para(7867(a,1),6462(a,1,1))]. 7885 x \ (T(y / x,z) \ y) = K(z,x \ y). [hyper(68,a,7873,a(flip))]. 7886 x / (y * K(z,y \ x)) = T(x / y,z). [para(7873(a,1),57(a,1,2))]. 7887 L(K(x,(y \ 1) \ z),y \ 1,y) = y * (T(z / (y \ 1),x) \ z). [para(7873(a,2),153(a,1,2)),flip(a)]. 7888 K(x * y,L(x,y,x)) * (L(x,y,x) / (x * y)) = (x / (R(x,y,x) * y)) * K(x * y,L(x,y,x)). [para(6855(a,1),7876(a,2,1))]. 7889 (x * y) / (y * K(z,T(x,y))) = T((x * y) / y,z). [para(32(a,2),7886(a,1,2,2,2))]. 7890 K(x,((y / z) \ 1) \ z) = ((y / z) \ T(y,x)) \ z. [para(16(a,1),7795(a,1,1,2,1)),flip(a)]. 7891 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [para(16(a,1),7801(a,1,1)),flip(a)]. 7893 K(K(x,x \ y) / (z * (y / x)),u) = K((z * (x \ y)) \ 1,u). [para(7801(a,1),5833(a,1,1,2))]. 7895 (x * (y / z)) / (z \ y) = x * K(z,z \ y). [para(15(a,1),7803(a,1,1)),flip(a)]. 7896 (x * (y \ 1)) / (T(y,z) \ 1) = x * K(y,z). [hyper(74,a,7813,a)]. 7897 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5171(a,1),7813(a,1,2,1))]. 7898 (1 / K(x,y)) * (z / (K(x,y) \ 1)) = T(z,K(x,y)). [para(5344(a,2),7815(a,1,1))]. 7899 L(K(x * y,x) * K(z * y,K(x * y,x)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7866(a,2),5775(a,2,1,2))]. 7900 (T(x,K(y * x,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(7866(a,2),7413(a,1,2,1))]. 7901 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [para(7869(a,1),5920(a,2))]. 7902 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [para(7869(a,1),6520(a,1)),flip(a)]. 7903 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(7891(a,2),7478(a,2)),flip(a)]. 7904 (x / (y \ 1)) * K(y,z) = x / (T(y,z) \ 1). [para(16(a,1),7896(a,1,1)),flip(a)]. 7905 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(7901(a,1),6180(a,1,1,1))]. 7906 T(x \ 1,y) \ T(x \ K(x \ z,x \ 1),y) = K(z * (x \ 1),T(x \ 1,y)). [para(7901(a,1),5860(a,1,2,1,2))]. 7907 x / (T(y,x) \ 1) = y * ((x / (y \ 1)) / y). [para(7904(a,1),6239(a,1))]. 7908 R(x,T(y,z),T(z,y)) = R(x,y,z). [hyper(4342,a,7877,a)]. 7912 T(K(x,y),z * y) = T(K(x,y),y * z). [para(7764(a,1),7739(a,1))]. 7913 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(7912(a,2),5408(a,1,1))]. 7914 K(K(x,y) * z,y) = K(z,y). [hyper(5306,a,7784,a)]. 7915 K(T(K(x,y),z) * u,y) = K(u,y). [para(1859(a,1),7914(a,1,1,1))]. 7916 K(K(x,y) \ z,x) = K(z,x). [para(4693(a,1),7914(a,1,1))]. 7917 K(K(x,y) * z,x) = K(z,x). [para(5352(a,1),7914(a,1,1)),flip(a)]. 7918 K(T(x,y) * z,x) = K(x * z,x). [para(5178(a,1),7914(a,1,1)),flip(a)]. 7920 K((x / y) \ z,y) = K((y \ x) \ z,y). [para(5721(a,1),7914(a,1,1))]. 7921 K((x / y) * z,y) = K((y \ x) * z,y). [para(5821(a,1),7914(a,1,1)),flip(a)]. 7922 K(x * T(y,z),z) = K(x * y,z). [para(5797(a,1),7914(a,1,1))]. 7923 K(x \ T(y,z),z) = K(x \ y,z). [para(5801(a,1),7914(a,1,1))]. 7924 K(((x * y) / x) \ z,y) = K(y \ z,y). [para(5505(a,2),7917(a,1,1))]. 7926 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(7917(a,1),6472(a,1,1))]. 7927 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6946(a,1),7917(a,1,1,1))]. 7929 (T(x,y) * z) * K(x * z,x) = T(T(x,y) * z,x). [para(7918(a,1),5200(a,2,2)),flip(a)]. 7933 K(x \ (y \ (z * y)),y) = K(x \ z,y). [para(32(a,1),7923(a,1,1,2))]. 7934 K(x \ (y / z),z) = K(x \ (z \ y),z). [para(106(a,1),7923(a,1,1,2)),flip(a)]. 7936 K((K(x,y) * z) * u,x) = K(z * u,x). [para(100(a,1),7927(a,1,1))]. 7938 K(x \ (y * L(x,z,u)),x) = K((x \ y) * L(x,z,u),x). [para(7921(a,1),5328(a,2))]. 7940 (((x * y) / x) \ z) \ K(y \ z,y) = ((y * (((x * y) / x) \ z)) / y) \ 1. [para(7924(a,1),5584(a,2,2)),flip(a)]. 7941 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K(y \ (z / x),L(x,u,w)). [para(7934(a,1),5777(a,1,1,1,2))]. 7942 T((x / y) * K((L(y,z,u) \ 1) \ (y \ x),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(7934(a,1),6605(a,1,1,2))]. 7943 K((x / (x / y)) * z,y) = K(y * z,y). [para(5317(a,1),7936(a,1,1,1)),flip(a)]. 7944 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(7936(a,1),7567(a,1,1,2))]. 7947 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [para(7926(a,1),7048(a,1)),flip(a)]. 7948 K(L(x,K(y,z),u),y) = K(x,y). [para(7947(a,2),7917(a,1))]. 7949 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(171(a,1),7948(a,1,1))]. 7951 K(x,((T(y,x) / z) \ 1) \ ((T(y,x) / z) \ y)) = z \ ((T(y,x) / z) \ y). [para(59(a,1),7796(a,2,1))]. 7952 ((x \ y) \ (x \ T(y,z))) * ((x \ T(y,z)) \ (x \ y)) = 1. [para(7796(a,1),6597(a,1,2))]. 7953 K(x,((y \ T(z,x)) \ 1) \ (z / (y \ T(z,x)))) = y \ (z / (y \ T(z,x))). [para(57(a,1),7797(a,2,1))]. 7955 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [para(7799(a,1),6970(a,1))]. 7956 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [para(7955(a,1),14(a,1,2))]. 7957 x / R(K(y,z),u,w) = x * R(K(z,y),u,w). [para(7955(a,1),57(a,1,2))]. 7958 x * K(R(K(y,z),u,w) \ 1,R(K(y,z),u,w) * x) = R(K(z,y),u,w) * (x * R(K(y,z),u,w)). [para(7955(a,1),6218(a,1,1)),flip(a)]. 7959 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(7585(a,2),7955(a,1,1))]. 7960 ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1). [para(7831(a,1),16(a,1,1))]. 7961 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5754(a,1),7847(a,1,2))]. 7962 R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). [para(7961(a,1),261(a,2,2))]. 7963 K(x,(y \ K(x,z)) \ u) = K(x,(y \ 1) \ u). [para(7861(a,2),7795(a,1))]. 7964 K(x,((y \ 1) \ K(x,z)) \ u) = K(x,y \ u). [para(7963(a,2),7219(a,1))]. 7965 (x * y) / (y * K(z,T(x,y))) = T(x,z). [para(15(a,1),7889(a,2,1))]. 7966 T(x,y) \ (x * z) = z * K(y,T(x,z)). [para(7965(a,1),59(a,1,1))]. 7967 x * K(y,T(z,x)) = K(y,z) * x. [para(7966(a,1),5535(a,1))]. 7968 x \ (((y * x) / y) * z) = z * K(y,T(x,z)). [para(7966(a,1),5904(a,2))]. 7969 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(6088,a,7967,a),flip(a)]. 7970 K(x,T(y,L(x,z,u))) = K(x,y). [hyper(3116,a,7967,a)]. 7971 K(x,T(y,T(x,z))) = K(x,y). [hyper(3101,a,7967,a),flip(a)]. 7972 K(x,T(y,K(z,x))) = K(x,y). [hyper(2115,a,7967,a)]. 7973 K(x,T(y,z)) = T(K(x,y),z). [hyper(131,a,7967,a),flip(a)]. 7974 K(x,T(y,K(x,z))) = K(x,y). [hyper(17,a,7759,a,b,7967,a)]. 7975 K(x,T(y,x \ y)) = K(x,y). [hyper(17,a,6563,a(flip),b,7967,a)]. 7976 K(x * y,T(z,y * x)) = K(x * y,z). [hyper(17,a,4982,a(flip),b,7967,a)]. 7977 K(x,T(y,x \ 1)) = K(x,y). [hyper(17,a,1816,a(flip),b,7967,a)]. 7978 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(5452,a,7967,a(flip))]. 7979 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7967(a,1),19(a,1))]. 7980 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(40(a,2),7967(a,1,2,2))]. 7981 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(3600(a,1),7967(a,1,2)),flip(a)]. 7982 T(x,y) * K(z,T(x * y,x)) = K(z,x * y) * T(x,y). [para(3951(a,1),7967(a,1,2,2))]. 7983 K(x,x \ y) * K(z,y) = K(z,y) * K(x,x \ y). [para(5692(a,1),7967(a,1,2,2))]. 7984 K(x * y,x) * y = y * K(x * y,x). [para(5753(a,1),7967(a,1,2)),flip(a)]. 7985 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(7476(a,1),7967(a,1,2))]. 7986 K(x,y / T(x,z)) = K(x,T(x,z) \ y). [para(106(a,1),7971(a,1,2)),flip(a)]. 7987 T(x,y) * K(z,T(x,T(z,u))) = K(z,x) * T(x,y). [para(7971(a,2),3164(a,1,2))]. 7988 T(x,T(y,T(x,z))) = x * K(x,y). [para(7971(a,1),5200(a,2,2))]. 7989 T(x * K(y,x),T(y,z)) = T(x,T(y,z)) * K(y,x). [para(7971(a,1),5672(a,1,2)),flip(a)]. 7990 K(x,L(T(y,z),u,w)) = T(K(x,L(y,u,w)),z). [para(40(a,2),7973(a,1,2))]. 7991 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7973(a,2),407(a,1,2,2))]. 7992 T(x,K(y,T(z,x))) = T(x,K(y,z)). [para(7973(a,2),4281(a,1,2))]. 7993 K(x,T(y,z * (x / z))) = K(x,y). [para(7973(a,2),4973(a,1))]. 7994 x * T(K(x,y),z) = T(x,T(y,z)). [para(7973(a,1),5200(a,2,2)),flip(a)]. 7995 T(K(x * y,x),y) = K(x * y,x). [para(7973(a,1),5753(a,1))]. 7996 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [para(7973(a,2),6974(a,2))]. 7997 T(K(x,y) * K(z,u),x) = K(x,y) * K(z,T(u,x)). [para(7973(a,2),7324(a,2,2))]. 7998 T(K(x,y),K(z,y) * T(y,u)) = K(x,y). [para(7406(a,1),7973(a,1,2)),flip(a)]. 7999 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7973(a,2),7737(a,1,2))]. 8000 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [para(7973(a,2),7745(a,2))]. 8001 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7973(a,2),7748(a,2,1))]. 8002 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(7973(a,2),7967(a,1,2,2))]. 8003 K(x,K(y,T(z,u))) = T(K(x,K(y,z)),u). [para(7973(a,2),7973(a,1,2))]. 8004 K(x,y / L(x,z,u)) = K(x,L(x,z,u) \ y). [para(106(a,1),7970(a,1,2)),flip(a)]. 8005 K(x,T(y,(1 / (z / x)) * z)) = K(x,y). [para(378(a,1),7970(a,1,2,2))]. 8006 x * (y * K(z,T(u,y))) != y | K(u,z) = x. [para(7978(a,1),20(a,1)),flip(a)]. 8007 T(x,T(y,T(x,z))) = T(x,y). [para(7988(a,2),5200(a,2)),flip(a)]. 8009 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(151(a,1),8007(a,1,2,2))]. 8010 x * T(y * K(x,y),T(x,z)) = T(x,y) * T(y,T(x,z)). [para(8007(a,1),5677(a,1,1)),flip(a)]. 8011 K(x,T(y,z)) * T(z,K(x,y)) = z * K(x,T(y,z)). [para(7992(a,1),104(a,1,2))]. 8012 T(x,K(y,z / x)) = T(x,K(y,x \ z)). [para(106(a,1),7992(a,1,2,2)),flip(a)]. 8013 T(x,K(y,x / z)) = T(x,K(y,z \ x)). [para(7485(a,1),7992(a,1,2)),flip(a)]. 8014 K(x,y / (z * (x / z))) = K(x,(z * (x / z)) \ y). [para(106(a,1),7993(a,1,2)),flip(a)]. 8015 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7994(a,1),7743(a,1,2,2))]. 8016 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7995(a,1),7330(a,1,2))]. 8017 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(531(a,1),7969(a,1,1,1)),flip(a)]. 8018 K(x \ 1,T(y,K(x,z))) = K(x \ 1,y). [para(3086(a,1),7969(a,1,1,1)),flip(a)]. 8019 K(((x / y) * x) \ (y * (x / y)),z) = K((y \ x) \ 1,T(z,x)). [para(7969(a,1),6489(a,2))]. 8020 (x \ 1) * K(y * (x \ 1),y) = K(x \ y,y) * (x \ 1). [para(6645(a,1),7984(a,1,1)),flip(a)]. 8021 K(x,y / T(x,z)) = K(x,x \ y). [para(7986(a,2),7617(a,1))]. 8022 (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,y \ x) * z. [para(8021(a,1),5537(a,2,1))]. 8024 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(7476(a,1),7999(a,1,2))]. 8025 K(x,T(y,((z / x) \ 1) * z)) = K(x,y). [para(4840(a,1),8005(a,1,2))]. 8026 T(x,K(y,(z / x) \ 1)) = T(x,K(y,z \ x)). [para(5838(a,2),8013(a,1,2))]. 8027 T(1 / x,T(y,K(x,z))) = (1 / x) * K(x \ 1,y). [para(8018(a,1),5259(a,1,2)),flip(a)]. 8028 K(x,(((y / x) \ 1) * y) / z) = K(x,z \ (((y / x) \ 1) * y)). [para(8025(a,1),7485(a,1))]. 8029 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = z * K(x,T(x * (y / x),z)). [para(4476(a,1),7968(a,1,2,1))]. 8030 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [para(7985(a,2),5553(a,1))]. 8031 K(x,K(y,z / u)) * z = z * K(x,K(y,u \ z)). [para(7485(a,1),8002(a,1,2,2)),flip(a)]. 8032 K(x,L(x,y \ 1,y) \ z) = K(x,x \ z). [para(8004(a,1),7176(a,1))]. 8033 K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). [para(2808(a,1),8032(a,1,2,1))]. 8034 K(L(x,y,y \ 1) \ z,x) = u / (K(x,x \ z) * u). [para(8033(a,1),5438(a,1,2,1)),flip(a)]. 8035 T(T(x / (x / y),z),T(u,y)) = T(T(x / (x / y),u),z). [para(8009(a,1),38(a,1,1)),flip(a)]. 8036 K(x * y,K(x,z)) = K(y,K(x,z)). [para(8024(a,1),7999(a,1))]. 8037 T(x \ R(x,y,x),y) = x \ R(x,y,x). [para(8016(a,1),5754(a,1))]. 8038 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [para(8037(a,1),127(a,1,1,2))]. 8039 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(7961(a,1),8038(a,1,1))]. 8040 K(K(x,y),y * z) = K(z * y,K(y,x)). [para(7913(a,1),7741(a,1))]. 8041 K(x * y,K(y,z)) = K(y * x,K(y,z)). [para(8040(a,1),7742(a,1))]. 8042 K(x * y,K(y,z)) = K(x,K(y,z)). [para(8041(a,2),8036(a,1))]. 8043 R(x,y * z,K(y,K(z,u))) = x. [para(8042(a,1),6433(a,1,3))]. 8044 K((x * K(y,z)) \ u,y) = K(x \ u,y). [para(7949(a,2),7916(a,1))]. 8045 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(7770(a,1),8044(a,1,1,1)),flip(a)]. 8047 K((x * T(K(y,z),u)) \ w,z) = K(x \ w,z). [para(1859(a,1),8045(a,1,1,1,2))]. 8048 K((x * L(K(y,z),u,w)) \ v5,z) = K(x \ v5,z). [para(6332(a,1),8045(a,1,1,1,2))]. 8049 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(8045(a,1),7769(a,1,1,2)),flip(a)]. 8050 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(104(a,1),8047(a,1,1,1))]. 8051 K(T(x,T(y,z)) \ u,y) = K(x \ u,y). [para(7994(a,1),8047(a,1,1,1))]. 8052 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(91(a,2),8050(a,1,1))]. 8053 K(x \ K(y,z),y) = K(x \ 1,y). [para(8050(a,1),6493(a,1)),flip(a)]. 8054 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(267,a,7960,a),flip(a)]. 8055 T(x,(y * z) \ y) = T(x,z \ 1). [para(13(a,1),8054(a,1,2,1)),flip(a)]. 8057 T(x,(y * (z * u)) \ (y * z)) = T(x,L(u,z,y) \ 1). [para(28(a,2),8054(a,1,2,1)),flip(a)]. 8058 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(32(a,2),8054(a,1,2,1))]. 8059 (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). [para(8054(a,1),3011(a,1,2))]. 8060 T(x,(y \ K(z,u)) \ 1) = T(x,K(u,z) * y). [para(5336(a,1),8054(a,2,2))]. 8062 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(8054(a,1),7481(a,1,2)),flip(a)]. 8063 K(x \ y,T(z,y \ x)) = K(x \ y,z). [para(8054(a,1),7977(a,1,2))]. 8065 T(K(x,y),(z * y) \ z) = K(x,y). [para(8055(a,2),1657(a,1))]. 8066 K(x,T((y * z) \ 1,z \ 1)) = K(x,T((y * z) \ 1,y)). [para(8055(a,1),7490(a,1,2))]. 8067 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(2639(a,1),7980(a,1,2,2))]. 8068 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [para(7981(a,1),5185(a,1,2))]. 8069 (x * (y / x)) / T(y,z) = K(z,y) * K(x,x \ y). [para(7983(a,1),7829(a,2))]. 8070 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(42(a,2),7996(a,2,2))]. 8071 K(x,T(y,z)) * u != z * K(x,T(y,z)) | T(z,K(x,y)) = u. [para(8011(a,1),19(a,1)),flip(a)]. 8072 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,(z * (x / z)) \ y). [para(8014(a,1),7254(a,2))]. 8073 T(1 / x,T(y,K(x,z))) = T(1 / x,y). [para(8027(a,2),5259(a,1))]. 8074 L(T(1 / x,y),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(8073(a,1),6785(a,1,1))]. 8075 K(x,K(y,x / z)) = K(x,K(y,z \ x)). [hyper(18,a,3082,a,b,8031,a)]. 8076 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(8049(a,2),5351(a,1))]. 8077 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(6589(a,1),8076(a,1,2,1)),flip(a)]. 8078 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [para(7770(a,1),8076(a,1,2,1)),flip(a)]. 8079 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7967(a,1),8078(a,1,2,1))]. 8080 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(24(a,2),8079(a,1,2)),flip(a)]. 8081 T(x,(K(x,y) * z) \ u) = x * K(x,z \ u). [para(8079(a,1),5200(a,2,2))]. 8082 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(5352(a,1),8079(a,1,2,1)),flip(a)]. 8083 K(x,y \ K(x,z)) = K(x,y \ 1). [para(8079(a,1),6521(a,1))]. 8084 K(x,y \ K(z,x)) = K(x,y \ 1). [para(8079(a,1),6530(a,1)),flip(a)]. 8085 K(x,K(x,y) / z) = K(x,z \ 1). [para(8083(a,1),7855(a,2))]. 8089 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [para(8081(a,2),5200(a,2)),flip(a)]. 8090 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(5352(a,1),8089(a,1,2,1)),flip(a)]. 8092 T(x,y \ K(x,z)) = T(x,y \ 1). [para(8089(a,1),8055(a,1))]. 8093 K(x \ 1,T(y,z \ K(x,u))) = K(T(x,z \ 1) \ 1,y). [para(8092(a,1),7969(a,1,1,1)),flip(a)]. 8095 T(x,y) \ T(T(x,y) * (K(y,x) * K(z,z \ x)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(8069(a,1),4997(a,1,2,1,2))]. 8096 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7973(a,2),8070(a,1,1))]. 8097 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(14(a,1),8096(a,1,2)),flip(a)]. 8098 R(K(x,T(y / (z / u),w)),(y / (z / u)) * (z / u),u) = K(x,T((y * u) / z,w)). [para(498(a,1),8096(a,2,2))]. 8099 R(K(x,y),(y * K(z,y)) * u,w) = K(x,R(T(y * K(z,y),z),u,w)). [para(5171(a,1),8096(a,1,1,2))]. 8100 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [para(8097(a,2),242(a,1))]. 8101 R(K(x,T(y * K(z,y),z)),u,w) = K(x,R(y,(y * K(z,y)) \ u,w)). [para(5171(a,1),8097(a,1,2,1)),flip(a)]. 8102 K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). [para(8097(a,1),7554(a,1)),flip(a)]. 8103 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [para(8100(a,2),7973(a,1))]. 8104 R((x / L(K(y,z) \ 1,u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(688(a,2),7774(a,2,2))]. 8105 R((x / R(K(y,z),u,u \ 1)) * K(y,z),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(5441(a,1),7774(a,2,2))]. 8106 R(x / T(y,z),y,y \ 1) = x * (T(y,z) \ 1). [para(7845(a,2),7012(a,1))]. 8107 (x * T(y,z)) * (T(y,z) \ 1) = R(x,y,y \ 1). [para(15(a,1),8106(a,1,1)),flip(a)]. 8108 R(x,T(y,z),T(y,z) \ 1) = R(x,y,y \ 1). [para(8107(a,1),154(a,1)),flip(a)]. 8110 a(x,T(y,z),T(z,y)) = a(x,y,z). [para(7879(a,1),24(a,2)),flip(a)]. 8111 K(L(x,y,y \ 1) \ z,x) = K(x \ z,x). [para(8034(a,2),5438(a,1))]. 8112 x / ((T(y,z) \ 1) * y) = x * (T(y,z) * (1 / y)). [para(7780(a,1),5773(a,1)),flip(a)]. 8113 ((T(x,y) \ 1) * x) \ 1 = T(x,y) * (1 / x). [hyper(4138,a,8112,a)]. 8114 L(x,((T(y,z) \ 1) * y) \ 1,(T(y,z) \ 1) * y) = ((T(y,z) \ 1) * y) * ((T(y,z) * (1 / y)) * x). [para(8113(a,1),153(a,1,2,1)),flip(a)]. 8115 (x \ y) \ (T(x,z) \ y) = K(z,T(x,x \ y)). [para(7360(a,1),7820(a,1,2))]. 8116 (x \ y) \ (T(x,z) \ y) = K(z,T(x,y)). [para(8115(a,2),7477(a,1))]. 8117 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [para(8116(a,1),14(a,1,2))]. 8118 (T(x,y) \ z) * T(T(x,z),y) = (x \ z) * T(x,z). [para(8117(a,1),7811(a,1,1))]. 8119 K(T(x,y) \ z,T(T(T(x,z),y) * (T(x,y) \ z),u)) = K(T(x,y) \ z,T((x \ z) * T(x,z),u)). [para(8118(a,1),5743(a,2,2,1))]. 8120 T(x,((y \ x) * y) \ 1) = T(x,x \ 1). [para(7853(a,2),5152(a,2)),flip(a)]. 8121 T(x,(y * (x / y)) \ 1) = T(x,x \ 1). [para(59(a,1),8120(a,1,2,1,1))]. 8122 T(x,y) * K(z * T(x,y),z) = T(x * K(x * z,z),y). [para(7867(a,1),7864(a,1,1)),flip(a)]. 8123 x * L(y * K(y * x,x),z,u) = T(x * L(y,z,u),x). [para(5920(a,2),7870(a,1,2,1,2))]. 8124 R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(u * x,u),y,z). [hyper(17,a,7863,a,b,7871,a),flip(a)]. 8125 (((T(x,y) / z) \ x) \ z) * (((T(x,y) / z) \ T(x,y)) \ ((T(x,y) / z) \ x)) = 1. [para(59(a,1),7952(a,1,1,2))]. 8126 T(x,y) * z != K(u,x * y) * T(x,y) | K(u,T(x * y,x)) = z. [para(7982(a,1),19(a,1)),flip(a)]. 8127 T(x,y) * T(y * K(x,y),T(T(x,y),z)) = T(T(x,y),y) * T(y,T(T(x,y),z)). [para(5321(a,1),8010(a,1,2,1,2))]. 8128 T((x * K(y,x)) * K(y,x * K(y,x)),T(y,z)) = (T(y,x) * T(x,T(y,z))) / y. [para(8010(a,1),5234(a,2,1))]. 8129 T(x,T(y,T(x,z))) * T(y,T(x,u)) = x * T(y * K(x,y),T(x,u)). [para(8007(a,2),8010(a,2,1)),flip(a)]. 8130 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [para(8020(a,1),7863(a,1,2))]. 8131 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(8130(a,1),6138(a,1,1,1))]. 8133 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(8035(a,1),4546(a,1))]. 8134 (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). [para(13(a,1),8059(a,1,2,2))]. 8135 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T((T(y,u) * K(z,u)) \ 1,K(z,u) \ 1)). [para(7322(a,2),8066(a,2,2,1,1)),flip(a)]. 8136 K(x \ 1,T(y,z \ K(x,u))) = K(x \ 1,T(y,z \ 1)). [para(8093(a,2),7969(a,1))]. 8137 L(x,y,z) * K(u * L(x,y,z),u) = L(x * K(x * u,u),y,z). [hyper(17,a,7863,a,b,8123,a),flip(a)]. 8138 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(7880,a,7453,a)]. 8140 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(7214(a,1),8067(a,1,2))]. 8141 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(584(a,1),8080(a,1,2))]. 8142 K(x,a(K(x,y),z,u)) = 1. [para(8141(a,1),7763(a,1))]. 8143 T(x,a(K(x,y),z,u)) = x. [hyper(37,a,8142,a)]. 8145 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(35,a,8143,a)]. 8146 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(8143(a,1),38(a,1,1)),flip(a)]. 8147 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(8146(a,1),6141(a,1,2))]. 8148 K(a(K(x,y),z,u),x) = 1. [hyper(36,a,8145,a)]. 8149 K(x,K(a(K(y,z),u,w),y)) * v5 != v6 | v5 = v6. [para(8148(a,2),1616(a,1,1,2))]. 8152 T(K(x,R(y \ 1,z,u) \ 1),w) = R(T(K(y,x),w),z,u) \ 1. [para(42(a,2),7738(a,2,1))]. 8153 (x * L(K(y,z),u,w)) \ x = L(K(y,z),u,w) \ 1. [para(6332(a,1),7790(a,1,1,2))]. 8154 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5337(a,1),7897(a,1,1,2))]. 8155 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5724(a,1),8154(a,2,2))]. 8156 R(x,K(y \ 1,z),y) = x. [hyper(5027,a,8155,a)]. 8157 R(x,y,K(y \ 1,z)) = x. [para(8156(a,1),6835(a,1)),flip(a)]. 8158 (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). [para(8157(a,1),100(a,1,1)),flip(a)]. 8159 L(K(x \ 1,y),x,z) = K(x \ 1,y). [hyper(306,a,8158,a)]. 8160 a(x,y,K(y \ 1,z)) = 1. [hyper(34,a,8159,a)]. 8161 a(x,y \ 1,K(y,z)) = 1. [para(3074(a,1),8160(a,1,3))]. 8162 L(K(x,y),x \ 1,z) = K(x,y). [hyper(33,a,8161,a)]. 8163 (x * (y \ 1)) * K(y,z) = x * ((y \ 1) * K(y,z)). [para(8162(a,1),89(a,1,2))]. 8164 (x * (y \ 1)) * K(y,z) = x * (y \ K(y,z)). [para(5636(a,1),8163(a,2,2))]. 8165 R(x,y,y \ K(y,z)) = (x * y) * (y \ 1). [hyper(18,a,221,a,b,8164,a),flip(a)]. 8166 R(x,y,y \ K(y,z)) = R(x,y,y \ 1). [para(8165(a,2),154(a,1))]. 8167 R(x,T(y,z),T(y,z) \ 1) = R(x,T(y,z),y \ 1). [para(5456(a,1),8166(a,1,3)),flip(a)]. 8168 R(x,y \ z,(z / y) \ 1) = R(x,y \ z,(y \ z) \ 1). [para(5630(a,1),8166(a,1,3))]. 8169 R(x,T(y,z),y \ 1) = R(x,y,y \ 1). [para(8167(a,1),8108(a,1))]. 8170 R(x,y / z,(y / z) \ 1) = R(x,z \ y,(y / z) \ 1). [para(106(a,1),8169(a,1,2)),flip(a)]. 8173 R(x,y / z,(y / z) \ 1) = R(x,z \ y,(z \ y) \ 1). [para(8170(a,2),8168(a,1))]. 8174 R(x / ((y * z) / y),y \ (y * z),(y \ (y * z)) \ 1) = x * (K(z,y) * (z \ 1)). [para(8173(a,1),5722(a,1))]. 8175 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [para(7902(a,2),6520(a,1))]. 8176 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [para(8068(a,1),7152(a,1)),flip(a)]. 8177 T(x,(y \ z) * (z \ y)) = x. [hyper(35,a,8176,a)]. 8180 T(x,y * ((z * y) \ z)) = x. [para(13(a,1),8177(a,1,2,1))]. 8185 K(x,y * ((z * y) \ z)) = 1. [hyper(36,a,8180,a)]. 8186 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(35,a,8180,a)]. 8188 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(123(a,2),8186(a,1,1,2))]. 8189 T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). [para(8188(a,1),6686(a,1)),flip(a)]. 8192 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(8072(a,1),7173(a,1))]. 8194 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(48(a,1),8134(a,2,2))]. 8195 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(8194(a,1),7922(a,1,1)),flip(a)]. 8196 R(T(K(x,y),z),u,w) \ 1 = T(R(K(x,y),u,w) \ 1,z). [para(5961(a,1),8152(a,1,1)),flip(a)]. 8197 R(K(x,T(y,z)),u,w) \ 1 = T(R(K(x,y),u,w) \ 1,z). [para(7973(a,2),8196(a,1,1,1))]. 8198 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(8195(a,1),6618(a,1)),flip(a)]. 8199 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [para(8198(a,2),6621(a,1))]. 8200 K(x,x \ y) * ((x \ y) * (K(y,x) * z)) = (y / T(x,y)) * L(z,K(y,x),x \ y). [para(7823(a,1),8022(a,1,2)),flip(a)]. 8201 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [para(7944(a,1),5674(a,1))]. 8203 ((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(8201(a,1),6995(a,2,2,2,1,1))]. 8204 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = K(T(1 / x,z * K(x,u)) \ 1,y). [para(8074(a,1),6335(a,1,1,1)),flip(a)]. 8206 R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(x * u,u),y,z). [para(5920(a,2),8124(a,2,1,2))]. 8207 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5120(a,1),8133(a,1,1,1))]. 8208 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(5121(a,1),8207(a,1,1)),flip(a)]. 8209 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [para(8208(a,2),40(a,2)),flip(a)]. 8210 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(8209(a,1),44(a,1,1)),flip(a)]. 8211 (x * (y * z)) \ ((x * y) * L(z * K(z * u,u),y,x)) = L(K(u * L(z,y,x),u),L(z,y,x),x * y). [para(8137(a,1),307(a,1,2,2))]. 8212 (x * T(x \ y,z)) / K((x / y) \ 1,z) = T(y,K(z,x \ y)). [para(7767(a,2),8026(a,1))]. 8213 (x * K((x \ y) \ 1,z)) / K((y / x) \ 1,z) = T(x,K(z,y \ x)). [para(5486(a,1),8212(a,1,1))]. 8214 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z * K(y,x)). [para(7768(a,1),7776(a,2,2))]. 8215 R(K(x,y),y * (K(z,y) * u),w) = K(x,R(T(y * K(z,y),z),u,w)). [para(4650(a,1),8099(a,1,2))]. 8216 R(K(x,T(y * K(z,y),z)),u,w) = K(x,R(y,K(y,z) * (y \ u),w)). [para(5724(a,1),8101(a,2,2,2))]. 8217 x * (T(y * (x \ 1),y) / y) = y \ R(y,x \ 1,y). [para(8131(a,1),8039(a,1))]. 8218 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(74,a,8217,a)]. 8219 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [para(8210(a,2),44(a,1))]. 8220 (T(x,y) / z) / K(((1 / z) / (x / z)) \ 1,y) = T(x / z,K(y,(1 / z) \ (x / z))). [para(5500(a,1),8213(a,1,1))]. 8221 ((K(x,y) / z) * (z * K(y,x))) * (1 / (z * K(y,x))) = K(x,y) / z. [para(8214(a,1),14(a,1,2))]. 8222 K(x,R(T(y * K(z,y),z),u,w)) = K(x,R(y,K(z,y) * u,w)). [para(8215(a,1),6971(a,1))]. 8223 K(x,R(y,K(z,y) * u,w)) = K(x,R(y,u,w)). [para(5171(a,1),8222(a,1,2,1)),flip(a)]. 8224 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(5352(a,1),8223(a,1,2,2)),flip(a)]. 8225 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(8224(a,1),7769(a,1,1,2)),flip(a)]. 8226 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [para(8225(a,2),5351(a,1))]. 8227 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [para(8226(a,1),7083(a,1)),flip(a)]. 8228 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [para(8227(a,2),7080(a,1))]. 8230 R(K(x,y),K(z,x) * u,w) = R(K(x,y),u,w). [para(5352(a,1),8228(a,1,2)),flip(a)]. 8231 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(5279(a,1),8230(a,1,2)),flip(a)]. 8232 K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u). [para(8230(a,1),7082(a,1)),flip(a)]. 8233 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(8231(a,1),6958(a,1,1))]. 8234 R(K(x,y),T(x,z) * u,w) = K(R(x,u,w),y). [para(13(a,1),8232(a,1,1,2)),flip(a)]. 8236 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(8233(a,1),20(a,1)),flip(a)]. 8237 R(K(x,T(y * K(z,y),z)),u,w) = R(K(x,y),K(y,z) * u,w). [para(8216(a,2),6973(a,1))]. 8238 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(5171(a,1),8237(a,1,1,2)),flip(a)]. 8239 R(K(x,y \ z),(y \ z) * y,u) = R(K(x,y \ z),z,u). [para(5138(a,1),8238(a,1,2))]. 8240 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(8239(a,1),6971(a,1))]. 8241 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(3855(a,1),8240(a,2,2))]. 8242 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(7973(a,2),7740(a,1,1))]. 8243 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = z * K(x,T(y,z)). [para(5713(a,1),8029(a,2,2))]. 8244 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = K(x,y) * z. [para(8243(a,2),7967(a,1))]. 8245 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(7973(a,2),8242(a,1,2,1))]. 8246 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(7734(a,1),7736(a,1,3)),flip(a)]. 8247 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(8246(a,1),20(a,1))]. 8248 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [para(7941(a,1),5777(a,1))]. 8249 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = T(K(x,y),z * K(x,u)). [para(8204(a,2),6089(a,1))]. 8250 T(K(x,y),z * K(x,u)) = T(K(x,y),z). [para(8249(a,1),7442(a,1))]. 8251 T(K(x,y),z * T(x,u)) = T(K(x,y),z * x). [para(6409(a,1),8250(a,1,2))]. 8253 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(7770(a,1),8250(a,1,2)),flip(a)]. 8254 T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). [para(6332(a,1),8253(a,1,2,2))]. 8255 T(K(x,y),(x \ z) * T(x,u)) = T(K(x,y),z). [para(8251(a,2),7502(a,1))]. 8256 ((x \ y) * T(x,z)) * T(K(x,u),y) = K(x,u) * ((x \ y) * T(x,z)). [para(8255(a,1),104(a,1,2))]. 8257 T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). [para(89(a,1),8254(a,1,2))]. 8258 K(x * (y \ 1),T(y \ 1,z)) = K(y \ x,T(y \ 1,z)). [para(7906(a,1),5860(a,1))]. 8259 K((x \ 1) * y,T(x \ 1,z)) = K(x \ y,T(x \ 1,z)). [para(8258(a,1),6116(a,1)),flip(a)]. 8260 (((T(x,y) / z) \ x) \ z) * (z \ ((T(x,y) / z) \ x)) = 1. [para(59(a,1),8125(a,1,2,1))]. 8261 (((T(x,y) / z) \ x) \ z) \ 1 = z \ ((T(x,y) / z) \ x). [hyper(68,a,8260,a)]. 8262 T(T(x,y),y) * T(y,T(T(x,y),z)) = T(x,y) * T(y * K(x,y),T(x,z)). [para(7568(a,1),8127(a,1,2)),flip(a)]. 8263 T(x,y) * T(y * K(x,y),T(x,z)) = T(T(x,y),y) * T(y,T(x,z)). [para(4283(a,1),8262(a,1,2)),flip(a)]. 8264 (T(T(x,y),y) * T(y,T(x,z))) / K(x,T(y * K(x,y),T(x,z))) = T(x,y) * T(y,T(x,z)). [para(8263(a,1),7816(a,1,1))]. 8265 T(x,T(y * K(x,y),T(x,z))) * T(y * K(x,y),T(x,u)) = x * ((T(x,y) * T(y,T(x,u))) / x). [para(8128(a,1),8129(a,2,2))]. 8266 R(K(x,T(y / (z / u),w)),y,u) = K(x,T((y * u) / z,w)). [para(16(a,1),8098(a,1,2))]. 8267 R(x / ((y * z) / y),z,(y \ (y * z)) \ 1) = x * (K(z,y) * (z \ 1)). [para(13(a,1),8174(a,1,2))]. 8268 R(x / ((y * z) / y),z,z \ 1) = x * (K(z,y) * (z \ 1)). [para(13(a,1),8267(a,1,3,1))]. 8269 R(x / ((y * z) / y),z,z \ 1) = x * (z \ K(z,y)). [para(5590(a,1),8268(a,2,2))]. 8270 R(x / ((L(y,z,y) * z) / z),T(y,z * y),T(y,z * y) \ 1) = x * (T(y,z * y) \ K(T(y,z * y),z)). [para(4452(a,1),8269(a,1,1,2,1))]. 8271 (x / T(y,x)) * L(z,K(x,y),y \ x) = (x / y) * (K(x,y) * z). [para(8200(a,1),5553(a,1))]. 8272 (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) = L(z,K(x,y),y \ x). [para(8271(a,1),4358(a,1,2))]. 8273 L(x,K(y,z),y / z) = L(x,K(y,z),z \ y). [para(8272(a,1),7846(a,1)),flip(a)]. 8274 K(((x \ 1) * (y \ 1)) \ 1,y) / (x * K(y * x,y)) = 1 / (y \ (y * x)). [para(13(a,1),7868(a,1,1,1,1,1,1))]. 8275 K((x \ 1) \ y,y) / (x * K(y * x,y)) = 1 / (y \ (y * x)). [para(6122(a,1),8274(a,1,1))]. 8276 K(x * y,x) / (y * K(x * y,x)) = 1 / (x \ (x * y)). [para(6022(a,1),8275(a,1,1))]. 8277 R(1 / x,x,K(y * x,y)) = 1 / (y \ (y * x)). [para(8276(a,1),125(a,2))]. 8278 R(1 / x,x,K(y * x,y)) = 1 / x. [para(13(a,1),8277(a,2,2))]. 8279 (1 / x) \ K(y * x,y) = x * K(y * x,y). [para(8278(a,1),262(a,1,1))]. 8280 (1 / x) \ K(x * y,y) = x * K(y * x,y). [para(5920(a,2),8279(a,1,2))]. 8281 (1 / x) \ K(x * y,y) = x * K(x * y,y). [para(5920(a,2),8280(a,2,2))]. 8282 (x * y) \ (y * ((1 / T(x,y)) \ K(T(x,y) * z,z))) = L(K(T(x,y) * z,z),T(x,y),y). [para(8281(a,2),138(a,1,2,2))]. 8283 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(3853(a,1),7903(a,1,1))]. 8284 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(5221(a,1),8283(a,2,1))]. 8285 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [para(7962(a,2),8218(a,1))]. 8286 (x * y) \ (y * (T(x,y) * K(z * T(x,y),z))) = L(K(T(x,y) * z,z),T(x,y),y). [para(8280(a,1),8282(a,1,2,2))]. 8287 (x * y) \ (y * T(x * K(x * z,z),y)) = L(K(T(x,y) * z,z),T(x,y),y). [para(8122(a,1),8286(a,1,2,2))]. 8288 L(K(T(x,y) * z,z),T(x,y),y) = (x * y) \ ((x * K(x * z,z)) * y). [para(104(a,1),8287(a,1,2)),flip(a)]. 8289 T(x * (y * K(z,u)),L(K(u,z),y * K(z,u),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(7768(a,1),7775(a,1,2,2))]. 8290 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(T(y * K(z,u),u) \ 1,K(z,u) \ 1)). [para(7322(a,2),8135(a,2,2,1,1))]. 8291 (T(T(x,y),y) * T(y,T(x,z))) / K(x,y * K(x,y)) = T(x,y) * T(y,T(x,z)). [para(7971(a,1),8264(a,1,2))]. 8292 (T(T(x,y),y) * T(y,T(x,z))) / K(x,y) = T(x,y) * T(y,T(x,z)). [para(5343(a,1),8291(a,1,2))]. 8294 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(T(y * K(z,u),u) \ 1,K(u,z))). [para(5332(a,1),8290(a,2,2,2))]. 8295 (x * K(y,z)) * (K(z,y) * L(K(z,y) \ 1,u,w)) = (x * (K(z,y) * L(K(y,z),u,w))) * K(y,z). [para(7768(a,1),7785(a,1,1))]. 8296 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(T(x,y) \ z,T(z * K(T(x,y),z),u)). [para(5968(a,1),8119(a,1,2,1)),flip(a)]. 8297 T(x,y) * T(y * K(x,y),T(x,z)) = x * ((T(x,y) * T(y,T(x,z))) / x). [para(6359(a,1),8265(a,1,1,2))]. 8298 T(T(x,y),y) * T(y,T(x,z)) = x * ((T(x,y) * T(y,T(x,z))) / x). [para(8297(a,1),8263(a,1)),flip(a)]. 8299 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = (x * K(z,y)) * (K(y,z) * L(K(z,y),u,w)). [para(5332(a,1),8295(a,1,2,2,1)),flip(a)]. 8300 K(x,y) * (K(y \ 1,y) * ((T(y,x) * (1 / y)) * z)) = L(z,((T(y,x) \ 1) * y) \ 1,(T(y,x) \ 1) * y). [para(8114(a,2),5772(a,2))]. 8301 ((T(x,y) \ 1) * x) * ((T(x,y) * (1 / x)) * z) = L(z,T(x,y) * (1 / x),(T(x,y) \ 1) * x). [para(8113(a,1),8114(a,1,2)),flip(a)]. 8302 T(x * (y / x),z) / T(T(y,u),x * (y / x)) = T(y,u) \ T(x * (y / x),z). [para(5606(a,1),8095(a,1,2,1)),flip(a)]. 8303 T(x * (y / x),z) / T(y,u) = T(y,u) \ T(x * (y / x),z). [para(4522(a,1),8302(a,1,2))]. 8306 K(x * K(y,z),(x / y) \ 1) = T(y,z) \ T(x * (y / x),z). [para(8303(a,1),7130(a,2))]. 8307 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [para(8306(a,2),5599(a,1))]. 8308 R((x * R(K(y,z),u,u \ 1)) * K(z,y),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(7957(a,1),8105(a,1,1,1))]. 8309 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(y * x,x)))). [para(89(a,1),8211(a,1,2)),flip(a)]. 8310 L(L(K(x * y,y),x,z),z * x,u) = L(K(y * L(x,z,u),y),L(x,z,u),u * z). [para(8309(a,2),308(a,1)),flip(a)]. 8311 (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(5228(a,1),6147(a,1,2))]. 8312 (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(6699(a,1),6708(a,2,2,1,1))]. 8313 (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(8312(a,2),2354(a,1))]. 8314 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(772(a,1),8313(a,2,1))]. 8315 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(4286(a,1),8314(a,1,1,2,1))]. 8316 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(4290(a,1),8315(a,1,1))]. 8317 T(R(x,y,z) * K(u * R((1 / x) \ 1,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(6652(a,1),6808(a,1,1,2))]. 8318 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),y * (1 / x)) = (y * ((1 / x) * x)) \ (y * ((1 / x) * T(x,z))). [para(2432(a,1),7045(a,1,2))]. 8319 L(x,((T(y,z) \ 1) * y) \ 1,(T(y,z) \ 1) * y) = K(z,y) * (K(y,z) * x). [para(5406(a,1),8300(a,1,2)),flip(a)]. 8320 L(x,((T(y,z) \ 1) * y) \ 1,(T(y,z) \ 1) * y) = L(x,K(y,z),K(z,y)). [para(8319(a,2),6035(a,1))]. 8321 L(x,T(y,z) * (1 / y),(T(y,z) \ 1) * y) = L(x,K(y,z),K(z,y)). [para(8113(a,1),8320(a,1,2))]. 8322 L(x,T(y,z) * (1 / y),(T(y,z) \ 1) * y) = x. [para(8321(a,2),5335(a,1))]. 8323 ((T(x,y) \ 1) * x) * ((T(x,y) * (1 / x)) * z) = z. [para(8322(a,1),8301(a,2))]. 8324 (T(x,y) * (1 / x)) \ z = ((T(x,y) \ 1) * x) * z. [para(14(a,1),8323(a,1,2)),flip(a)]. 8325 T(R(x,y,z) * K(u * R(x,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(59(a,1),8317(a,1,1,2,1,2,1))]. 8326 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),y * (1 / x)) = (y * 1) \ (y * ((1 / x) * T(x,z))). [para(16(a,1),8318(a,2,1,2))]. 8327 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),y * (1 / x)) = y \ (y * ((1 / x) * T(x,z))). [para(12(a,1),8326(a,2,1))]. 8329 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),y * (1 / x)) = y \ (y * K(x,z)). [para(5268(a,2),8327(a,2,2,2))]. 8330 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),y * (1 / x)) = K(x,z). [para(8329(a,2),13(a,1))]. 8331 K(L(x,x \ 1,y),z) = K(x,z). [para(8330(a,1),6472(a,1)),flip(a)]. 8333 a((1 / (1 / (x \ y))) \ y,T(y / x,x),z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(4832(a,1),4764(a,1,2))]. 8334 a((1 / (1 / (x \ y))) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(106(a,1),8333(a,1,2))]. 8336 a((1 / ((x \ y) \ 1)) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(8334(a,1),5018(a,1)),flip(a)]. 8337 a(x * (1 / (1 / (x \ y))),x / y,z) = a((y \ x) \ x,y \ x,z). [para(57(a,1),8336(a,1,1,1)),flip(a)]. 8339 a(x * ((1 / (x \ y)) \ 1),x / y,z) = a((y \ x) \ x,y \ x,z). [para(8337(a,1),4147(a,1)),flip(a)]. 8340 a((x \ y) \ y,x \ y,z) = a(y * (y \ x),y / x,z). [para(59(a,1),8339(a,1,1,2)),flip(a)]. 8341 a((x \ y) \ y,x \ y,z) = a(x,y / x,z). [para(14(a,1),8340(a,2,1))]. 8343 a(T(x,x \ y),x \ y,z) = a(x,y / x,z). [para(105(a,2),8341(a,1,1))]. 8344 (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(4817(a,1),4879(a,1,1,2))]. 8345 ((T(x,(1 / y) \ z) * (z * y)) / T(x,(1 / y) \ z)) / y = z * K(x,(z \ (1 / y)) \ 1). [para(5699(a,2),6009(a,1))]. 8346 ((x * y) * K(T(z,(1 / y) \ x),x * y)) / y = x * K(z,(x \ (1 / y)) \ 1). [para(5172(a,1),8345(a,1,1))]. 8347 R(x / L(y,z,y),T(y,z * y),T(y,z * y) \ 1) = x * (T(y,z * y) \ K(T(y,z * y),z)). [para(15(a,1),8270(a,1,1,2))]. 8349 x * (T(y,z * y) \ K(T(y,z * y),z)) = R(x / L(y,z,y),y,y \ 1). [para(8347(a,1),8108(a,1))]. 8351 ((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(8344(a,1),4821(a,1)),flip(a)]. 8352 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(u \ 1,u)). [para(8351(a,1),5038(a,1))]. 8353 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [para(8352(a,1),3747(a,1))]. 8355 a(x,y,1 / z) = a(x,y,z \ 1). [para(1608(a,1),8353(a,1,3)),flip(a)]. 8356 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(4310(a,1),4254(a,1,1,2)),flip(a)]. 8357 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [para(8356(a,2),2585(a,1))]. 8358 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4248(a,1),8357(a,1,3))]. 8359 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(8358(a,1),7107(a,1,1,1))]. 8360 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(8358(a,1),8359(a,1,2))]. 8361 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(204,a,8360,a)]. 8362 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [para(8361(a,1),4887(a,1)),flip(a)]. 8363 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(8362(a,1),129(a,1,2))]. 8364 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(59(a,1),4262(a,1,1,2))]. 8365 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),8364(a,1,1))]. 8366 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2639(a,1),8365(a,1,1))]. 8367 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(59(a,1),8366(a,1,2,2,2))]. 8368 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(40(a,2),8367(a,1,2,2))]. 8369 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2639(a,1),8368(a,1,2,2))]. 8370 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(13(a,1),8369(a,1,2))]. 8372 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(8370(a,1),7190(a,1,1)),flip(a)]. 8373 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(8372(a,1),59(a,1,1))]. 8374 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [para(8373(a,1),2907(a,1)),flip(a)]. 8375 K(x \ L(x,y,z),((z * y) \ (z * (y * x))) \ x) = K(x \ ((z * y) \ (z * (y * x))),a(z,y,x)). [para(28(a,2),6843(a,1,1,2))]. 8376 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ ((z * y) \ (z * (y * x))),a(z,y,x)). [para(28(a,2),8375(a,1,2,1))]. 8377 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(28(a,2),8376(a,2,1,2))]. 8378 (T(x,K(x * y,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(5920(a,2),7900(a,1,1,1,2))]. 8379 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,(y \ T(1,y)) \ 1) / T(y,1). [para(1617(a,1),4345(a,2,1,2,2))]. 8380 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,(y \ 1) \ 1) / T(y,1). [para(1617(a,1),8379(a,2,1,3,1,2))]. 8383 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / T(y,1). [para(2635(a,1),8380(a,2,1))]. 8384 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(1615(a,1),8383(a,2,2))]. 8385 L(x / ((y \ 1) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(1617(a,1),8384(a,1,1,2,1,2))]. 8386 L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(1617(a,1),8385(a,1,2,1,2))]. 8388 L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ 1) = L(x,y \ 1,y) / y. [para(1617(a,1),8386(a,1,3,2))]. 8391 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R((y * K(z,y)) \ y,u,w). [para(6431(a,1),6507(a,2,2,1,1))]. 8392 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(K(y,z),u,w). [para(5351(a,1),8391(a,2,2,1))]. 8395 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = (L(K(x,y),z,u) * K(x,x \ 1)) / L(K(x,y),z,u). [para(4229(a,1),6594(a,2,1))]. 8396 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),z),w,v5). [para(14(a,1),6788(a,2,2,1,2))]. 8397 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = L(K(x,u),w,v5) * z. [para(8396(a,2),145(a,1))]. 8398 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(145(a,1),8397(a,1,2))]. 8399 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5336(a,1),8398(a,1,2,2))]. 8400 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(x,z) \ 1,v5,v6),u,w). [para(8399(a,2),2330(a,1))]. 8401 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,y * x) \ z). [para(4534(a,1),7644(a,2,2,1))]. 8402 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,x * y) \ z). [para(4462(a,1),8401(a,2,2,2,1))]. 8403 x * T((y \ 1) * (z * K((y \ 1) \ 1,(y \ 1) * z)),y) != z * K((y \ 1) \ 1,(y \ 1) * z) | ((y \ 1) * z) \ z = x. [para(7731(a,1),20(a,1)),flip(a)]. 8404 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(3230(a,2),3253(a,2,2,2))]. 8405 (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(3914(a,1),8404(a,1,1))]. 8406 (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(3914(a,1),8405(a,1,2,1,3))]. 8407 (T(x,T(y,x)) \ x) \ (z * T(y,x)) = y * T(z,T(y,x)). [para(4187(a,1),8406(a,1,2,1))]. 8408 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [para(5170(a,2),8407(a,1,1))]. 8409 T(x * y,K(y,z)) = y * T(x,T(y,z)). [para(8408(a,1),6441(a,1)),flip(a)]. 8411 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(8409(a,2),8015(a,1,2))]. 8412 K(x * y,K(y,z)) = K(z,K(y,x)). [para(8411(a,1),5169(a,2))]. 8413 K(x,K(y,z)) = K(z,K(y,x)). [para(8412(a,1),8042(a,1))]. 8414 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(8413(a,1),82(a,1,2))]. 8415 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(8413(a,1),5159(a,2,1)),flip(a)]. 8416 x * K(y,K(z,x)) = T(x,K(z,y)). [para(8413(a,1),5200(a,2,2)),flip(a)]. 8417 K(x,K(y \ 1,K(y \ 1,y) * z)) = K(z,T(y \ 1,x) * y). [para(8413(a,1),7726(a,1))]. 8418 K(K(x,y),z) = K(x,K(y,z)). [para(8413(a,1),7742(a,2))]. 8419 K(x,K(y,z)) * K(z,K(x,y)) = 1. [para(8413(a,1),7746(a,1,1))]. 8420 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(8413(a,1),7745(a,1,1))]. 8421 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(8413(a,1),7748(a,1,1))]. 8422 K(x,K(y,z * y)) = K(x,K(y,z)). [para(8413(a,1),8412(a,1))]. 8423 (x * K(y,z)) * K(y,K(z,x)) = K(y,z) * x. [para(8418(a,1),82(a,1,2))]. 8424 T(x,K(y,z)) * K(y,K(z,x)) = x. [para(8418(a,1),5143(a,1,2))]. 8425 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(8418(a,1),5200(a,2,2)),flip(a)]. 8426 (K(x,K(y,z)) * u) / (K(x,y) \ u) = T(K(x,y),z). [para(8418(a,1),5513(a,1,1,1))]. 8427 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [para(8418(a,2),5958(a,1))]. 8428 K(K(L(x \ 1,y,z) \ 1,u),w) = L(K(x,K(u,w)),y,z). [para(8418(a,2),6332(a,1))]. 8429 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(8418(a,1),6334(a,2,1))]. 8430 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(8418(a,1),6409(a,1,2))]. 8431 K(x,K(K(x,y) * z,u)) = K(K(x,z),u). [para(7612(a,1),8418(a,1,1)),flip(a)]. 8432 (x * K(y,K(z,u))) / u = x / T(u,K(y,z)). [para(8418(a,1),7812(a,1,1,2))]. 8433 (x * (y / K(z,u))) / (K(z,u) \ y) = x * K(z,K(u,K(z,u) \ y)). [para(8418(a,1),7895(a,2,2))]. 8435 K(x,K(y,z)) = K(y,K(x,z)). [hyper(7747,a,8419,a)]. 8436 K(K(x,y),z) = K(y,K(z,x)). [hyper(5355,a,8419,a)]. 8437 x * K(y,K(x,z)) = T(x,K(y,z)). [para(8435(a,1),5200(a,2,2)),flip(a)]. 8438 K(x,K(y,z)) * y = T(y,K(x,z)). [para(8435(a,1),5214(a,2,1)),flip(a)]. 8439 x * (K(y,K(x,z)) * u) = T(x,K(y,z)) * u. [para(8435(a,1),5174(a,1,2,1))]. 8440 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(x,z)). [para(8435(a,1),5513(a,1,1,1))]. 8441 K(x,K(y,x \ y)) = 1. [para(8435(a,1),5693(a,1))]. 8442 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(5709(a,2),8435(a,1,2))]. 8443 K(x,y) * T(x,K(z,u)) = T(x,y) * K(z,K(x,u)). [para(8435(a,1),5525(a,2,2))]. 8444 x * (y \ ((K(z,u) \ (y * (x \ 1))) * K(z,u))) = K(z,K((x * (y \ K(z,u))) \ 1,u)). [para(8435(a,1),5950(a,2))]. 8445 L(K(x \ 1,K(y,z)),u,w) = K(y,K(L(x,u,w) \ 1,z)). [para(8435(a,1),6325(a,2))]. 8446 (x * y) * K(z,K(y,u)) = x * T(y,K(z,u)). [para(8435(a,1),6409(a,1,2))]. 8447 R(R(x,y,z),y * z,K(u,K(z,w))) = R(x,y,T(z,K(u,w))). [para(8435(a,1),7674(a,1,3))]. 8448 K(x,K(y,z)) * K(z,x) = K(z,T(x,y)). [para(8435(a,1),8000(a,1,1))]. 8449 K(x,K(y,z)) = K(z,K(x,y)). [para(8435(a,1),8413(a,1))]. 8450 K(K(x,y),z) = K(y,K(x,z)). [para(8435(a,1),8418(a,2))]. 8451 x * K(y,K(z,x)) = T(x,K(y,z)). [para(8435(a,1),8416(a,1,2))]. 8452 T(x,K(y,x \ y)) = x. [hyper(37,a,8441,a)]. 8453 K(L(x,y,z),K(u,x \ u)) = L(x,y,z) \ L(x,y,z). [para(8452(a,1),5201(a,1,2,1)),flip(a)]. 8454 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(8436(a,1),5200(a,2,2)),flip(a)]. 8455 (x * K(y,z)) * K(z,K(u,y)) = x * T(K(y,z),u). [para(8436(a,1),6409(a,1,2))]. 8456 K(K(x,y),z) = K(x,K(z,y)). [para(8436(a,2),8413(a,1))]. 8457 (K(x,y) * z) * K(x,K(y,z)) = z * K(x,y). [para(8449(a,2),82(a,1,2))]. 8458 K(x,K(y,z)) * y = T(y,K(z,x)). [para(8449(a,1),5214(a,2,1)),flip(a)]. 8459 K(x,K(y,z)) * z = T(z,K(x,y)). [para(8449(a,2),5214(a,2,1)),flip(a)]. 8460 K(x,K(y,z)) / T(z,K(x,y)) = 1 / z. [para(8449(a,2),5423(a,1,1))]. 8461 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(8449(a,2),5228(a,1,1))]. 8462 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(z,x)). [para(8449(a,1),5513(a,1,1,1))]. 8463 (1 / x) * K(y,K(z,x \ 1)) = T(1 / x,K(y,z)). [para(8449(a,2),5259(a,1,2))]. 8464 K(x,K(y,z)) * u != K(z,w) * T(z,K(x,y)) | T(z,w) = u. [para(8449(a,2),5745(a,2,1)),flip(a)]. 8465 K(x,K(y,((z \ 1) / u) \ 1)) = K(y,(z \ T(z * u,x)) / u). [para(5805(a,1),8449(a,1,2)),flip(a)]. 8466 L(K(x,y) * K(x,K(y,z * u)),u,z) = (z * (u * K(x,y))) / (z * u). [para(8449(a,2),5775(a,1,1,2))]. 8467 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(8449(a,2),5998(a,1,1))]. 8468 (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). [para(8449(a,2),6409(a,1,2))]. 8469 K((x \ y) \ 1,K(z,u)) = K(z,K(u,y \ x)). [para(8449(a,2),6464(a,2))]. 8470 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [para(8449(a,2),6495(a,2,2))]. 8471 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(8449(a,2),7607(a,1,1))]. 8472 T(K(x,K(y,z)) * u,K(x,w)) = K(z,K(x,y)) * T(u,K(x,w)). [para(8449(a,1),7645(a,2,1))]. 8473 L(K(x * y,x) * K(x,K(z * y,x * y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(8449(a,1),7899(a,1,1,2))]. 8474 K(x,K(y,z)) = K(x,K(z,y)). [para(8449(a,1),8413(a,1))]. 8475 K(K(x,y),z) = K(z,K(x,y)). [para(8449(a,1),8418(a,2))]. 8476 x * K(x,K(y,z)) = T(x,K(z,y)). [para(8449(a,1),8416(a,1,2))]. 8477 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(8449(a,1),8419(a,1,1))]. 8478 K(x,y) * K(y,K(x,z)) = T(K(x,y),z). [para(8450(a,1),5200(a,2,2)),flip(a)]. 8479 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(8450(a,1),5134(a,1,1))]. 8480 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5958(a,1),8450(a,1,1)),flip(a)]. 8481 K(x,K(L(y \ 1,z,u) \ 1,w)) = K(L(K(y,x),z,u),w). [para(6332(a,1),8450(a,1,1)),flip(a)]. 8482 K((x \ 1) * (T(y,z) / (x \ y)),u) = K(z,K(((1 / x) * (1 / (x \ y))) \ 1,u)). [para(8450(a,1),7179(a,1)),flip(a)]. 8483 K(x,K(y \ 1,K(y \ 1,y) * z)) = K(T(y \ 1,x) * y,z). [para(8450(a,1),7728(a,1))]. 8484 x * K(K(y,z),x) = T(x,K(y,z)). [para(8450(a,2),8416(a,1,2))]. 8485 (1 / x) * K(y,K(x,z)) = 1 / T(x,K(y,z)). [para(8456(a,1),5154(a,1,2))]. 8487 K(x,K(y,z)) * x = T(x,K(z,y)). [para(8474(a,1),5214(a,2,1)),flip(a)]. 8488 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(6124(a,1),8474(a,1,2)),flip(a)]. 8489 K(x,K(y,L(z \ 1,u,w) \ 1)) = K(x,L(K(z,y),u,w)). [para(6332(a,1),8474(a,1,2)),flip(a)]. 8490 K(x,((y \ z) \ 1) \ y) * ((T(z,x) / (y \ z)) / y) = K(y,K(x,((y \ z) \ 1) \ y)). [para(8474(a,1),6606(a,2))]. 8491 K(x,y) * K(z,K(x,y)) = T(K(x,y),z). [para(8475(a,1),5200(a,2,2)),flip(a)]. 8492 K(x,K(y,z)) * (K(x,K(y,z)) * u) = u. [para(8475(a,1),5352(a,1,1))]. 8493 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(8475(a,1),5534(a,1,1))]. 8494 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(8475(a,1),5452(a,1,1))]. 8495 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(78(a,1),8422(a,1,2,2))]. 8496 K(x,K(y,y * z)) = K(x,K(y,z)). [para(5709(a,1),8422(a,1,2))]. 8497 K(x,K(y,z * y)) = K(x,K(z,y)). [para(8422(a,2),8474(a,1))]. 8498 T(x,K(y,z)) * K(z,x) = x * T(K(z,x),y). [para(8424(a,1),7811(a,1,1)),flip(a)]. 8499 x * K(y,K(x,x * z)) = T(x,K(y,z * x)). [para(5709(a,1),8437(a,1,2,2))]. 8500 T(x * y,K(z,(1 / y) \ x)) = K(z,1) * (x * y). [para(671(a,1),8438(a,1,1,2)),flip(a)]. 8501 T(x / y,K(((x / y) \ (1 / y)) \ 1,z)) = T(x,K(z,x / y)) / y. [para(8451(a,1),5500(a,1))]. 8502 T(x,K(y,z)) = T(x,K(z,y)). [para(8451(a,1),8416(a,1))]. 8503 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(8502(a,1),104(a,1,2))]. 8504 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [para(8502(a,1),5354(a,2))]. 8505 T(K(x,y) * z,K(y,x)) = z * K(x,y). [para(8502(a,1),7445(a,1))]. 8506 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [para(8502(a,1),7466(a,2))]. 8507 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(u,x)). [para(8502(a,1),7645(a,2,2))]. 8508 T(T(x,K(y,z)),K(y,z)) = x. [para(8502(a,1),7749(a,1,1))]. 8509 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(8502(a,1),7750(a,1,1))]. 8510 T(K(x,y) \ z,K(x,y)) = z / K(x,y). [para(8502(a,1),7751(a,1))]. 8511 T(x * K(y,z),K(y,z)) = K(y,z) * x. [para(8502(a,1),7757(a,1))]. 8512 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(8502(a,1),7835(a,1))]. 8513 (T(x,K(y,x * y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(8502(a,1),8378(a,1,1,1))]. 8514 T(x,T(y,K(z,x))) = T(x,y). [para(8458(a,1),7395(a,1,2))]. 8515 K(x,K(y,z)) * z = (1 / K(x,y)) * (z / (K(x,y) \ 1)). [para(8459(a,2),7898(a,2)),flip(a)]. 8516 L(T(x,K(y,z)),x \ K(y,z),x) = x * K(x \ K(y,z),x). [para(8484(a,1),6045(a,1,1))]. 8517 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(14(a,1),8496(a,1,2,2)),flip(a)]. 8518 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(8496(a,1),8000(a,1,1))]. 8519 K(x,K(y,y * z)) = K(y,K(x,z)). [para(8496(a,2),8435(a,1))]. 8520 K(x,K(y,x * y)) = 1. [para(8497(a,2),3091(a,1))]. 8521 T(x,K(y,x * y)) = x. [hyper(37,a,8520,a)]. 8522 K(x,K(y,x * y)) = a(K(z,u),u,w). [para(8520(a,2),4641(a,2)),flip(a)]. 8523 T(x,K(y,y \ z)) = x * K(x,K(y,z)). [para(8517(a,1),5200(a,2,2))]. 8524 K(x,K(y,T(y,z) \ u)) = K(x,K(y,u)). [para(7617(a,2),8517(a,1,2))]. 8525 K(x,K(y,z)) * K(y \ z,y) = K(y \ z,T(y,x)). [para(8517(a,1),8000(a,1,1))]. 8526 K(x,K(y,y \ z)) = K(y,K(z,x)). [para(8517(a,2),8449(a,2)),flip(a)]. 8527 K(x,K(y,x * z)) = K(x,K(y,z)). [para(8519(a,1),8435(a,1)),flip(a)]. 8528 K(x,K(x \ y,z)) = K(x,K(y,z)). [para(8526(a,1),8449(a,2))]. 8529 K(x,K(x * y,z)) = K(x,K(y,z)). [para(13(a,1),8528(a,1,2,1)),flip(a)]. 8530 K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). [para(5330(a,1),8528(a,2,2))]. 8531 K(x,K(y,y * x)) = a(K(z,u),u,w). [para(5709(a,1),8522(a,1,2))]. 8532 K(x,y) * (y * x) = (x * y) * K(z,K(u,u * z)). [para(8531(a,2),5472(a,2,2))]. 8534 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7974(a,1),8420(a,1,1,2)),flip(a)]. 8535 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(7614(a,1),8425(a,1,2,2)),flip(a)]. 8536 T(K(x,y),T(z,T(y,u))) = K(x,y) * K(x,K(y,z)). [para(7971(a,1),8425(a,1,2,2)),flip(a)]. 8537 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(8425(a,2),7973(a,2)),flip(a)]. 8538 K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). [para(8431(a,2),8418(a,1))]. 8539 K(x \ y,x) * K(x,K(y,z)) = T(K(x \ y,x),z). [para(8528(a,1),8478(a,1,2))]. 8540 T(T(K(x,y),z),z) = K(x,y). [para(8491(a,1),5171(a,1,1))]. 8541 (x * K(y,z)) / x = T(K(y,z),x). [para(8491(a,1),5172(a,2))]. 8542 T(K(x,y),z) * z = z * K(x,y). [para(8491(a,1),5216(a,1,1))]. 8543 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(8491(a,1),5235(a,1,1,1))]. 8544 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(8491(a,1),5236(a,1,1,1))]. 8545 (x * L(K(y,z),u,w)) / x = L(T(K(y,z),x),u,w). [para(8491(a,1),5374(a,1,1)),flip(a)]. 8546 R(K(x,y),z,u) \ R(T(K(x,y),w),z,u) = K(w,R(K(x,y),z,u)). [para(8491(a,1),5781(a,1,2,1))]. 8547 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(8491(a,2),7973(a,2)),flip(a)]. 8549 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(8540(a,1),164(a,1,2,2,1))]. 8550 T(K(x,T(y,z)),z) = K(x,y). [para(7973(a,2),8540(a,1,1))]. 8551 K(x,T(y,z)) * z = z * K(x,y). [para(8550(a,1),104(a,1,2)),flip(a)]. 8552 T(K(x,y \ z),y) = K(x,z / y). [para(106(a,1),8550(a,1,1,2))]. 8554 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(8550(a,1),146(a,1,2,1)),flip(a)]. 8555 (K(x,T(y,z)) * u) * (u \ z) = z * R(K(x,y),u,u \ z). [para(8550(a,1),477(a,1,2,1)),flip(a)]. 8558 T(K(x,y \ z),z) = K(x,z / y). [para(7485(a,1),8550(a,1,1))]. 8559 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(8550(a,1),7915(a,1,1,1))]. 8560 K(x,T(T(y,z),z)) = K(x,y). [para(8550(a,1),7973(a,2))]. 8561 K(x,T(y \ z,y)) = K(x,z / y). [para(106(a,1),8560(a,1,2,1))]. 8562 K(x,(y * z) / y) = K(x,T(z,y)). [para(126(a,1),8560(a,1,2,1)),flip(a)]. 8563 K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). [para(526(a,2),8560(a,1,2))]. 8564 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = T(K(x,x \ 1),L(K(x,y),z,u)). [para(8541(a,1),8395(a,2))]. 8565 T(K(x,y \ z),z) = K(x,(y / z) \ 1). [hyper(18,a,6532,a,b,8542,a)]. 8566 T(K((x \ y) \ 1,z),x) = K((y / x) \ 1,z). [hyper(18,a,5803,a,b,8542,a)]. 8567 K(x * K(y,z),z) = K(x,z). [para(8542(a,1),7915(a,1,1))]. 8568 K(x * T(K(y,z),u),z) = K(x,z). [para(1859(a,1),8567(a,1,1,2))]. 8569 K(x / (y / z),z) = K(x / (z \ y),z). [para(6542(a,1),8567(a,1,1))]. 8570 K(x * K(y,z),y) = K(x,y). [para(7770(a,1),8567(a,1,1)),flip(a)]. 8571 K(x * T(y,z),y) = K(x * y,y). [para(7805(a,1),8567(a,1,1)),flip(a)]. 8576 K(x,T(y \ z,z)) = K(x,z / y). [hyper(18,a,6581,a,b,8551,a)]. 8577 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(18,a,8140,a(flip),b,8551,a)]. 8578 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(8551(a,1),584(a,1,2,1)),flip(a)]. 8579 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(8551(a,1),5174(a,1,2)),flip(a)]. 8580 T(x,T(y,z)) * (x \ z) = z * K(x,y). [para(8551(a,1),5175(a,2))]. 8581 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [para(8551(a,1),5513(a,1,1))]. 8582 (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(8551(a,1),5453(a,1,1,3)),flip(a)]. 8583 T(x,y * K(x,z)) = T(x,y). [para(8551(a,1),7395(a,1,2))]. 8584 K(x,y \ z) * z = z * K(x,z / y). [para(7485(a,1),8551(a,1,1))]. 8585 K(x,y * K(x,z)) = K(x,y). [para(8551(a,1),7612(a,1,2))]. 8589 T(x,y * T(x,z)) = T(x,y * x). [para(6409(a,1),8583(a,1,2))]. 8590 T(x,y * K(z,x)) = T(x,y). [para(7770(a,1),8583(a,1,2)),flip(a)]. 8592 K(x,y * T(x,z)) = K(x,y * x). [para(6409(a,1),8585(a,1,2))]. 8594 K(x \ y,z * (y / x)) = K(x \ y,z * (x \ y)). [para(6589(a,1),8585(a,1,2)),flip(a)]. 8596 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(8585(a,1),6420(a,1,1)),flip(a)]. 8597 K(x,y / K(z,x)) = K(x,y). [para(7768(a,2),8585(a,1,2))]. 8598 K(x,y * K(z,x)) = K(x,y). [para(7770(a,1),8585(a,1,2)),flip(a)]. 8599 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(7803(a,1),8585(a,1,2)),flip(a)]. 8602 T((x \ y) * x,z * K(u,y)) = (x \ T(y,z)) * x. [para(8590(a,1),4977(a,2,1,2))]. 8603 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(8590(a,1),5201(a,1,2,1)),flip(a)]. 8604 K(x,y / L(K(z,x),u,w)) = K(x,y). [para(6332(a,1),8597(a,1,2,2))]. 8605 K(x,(y * z) * (z \ K(u,x))) = K(x,R(y,z,z \ K(u,x))). [para(221(a,1),8598(a,1,2))]. 8606 L((x * K(y,z)) * K(z,x),u,w) = (z * L(x * K(y,z),u,w)) / z. [para(8598(a,1),5374(a,1,1,2))]. 8607 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y * K(z,x),u,w)). [para(8598(a,1),6971(a,1,1))]. 8611 R(T(K(x,y \ z),z),z,y \ 1) = K(x,z * (y \ 1)). [para(8558(a,2),6964(a,1,1))]. 8612 T(K(x,y \ z),z) = T(K(x,y \ z),y). [para(8558(a,2),8552(a,2)),flip(a)]. 8613 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(24(a,2),8561(a,1,2,1)),flip(a)]. 8614 K(x * K(y,T(z,u)),z) = K(x,z). [para(7973(a,2),8568(a,1,1,2))]. 8615 K(T(x,T(y,z)),y) = K(x,y). [para(7994(a,1),8568(a,1,1))]. 8616 (T(x,T(y,z)) * y) / K(x,y) = y * T(x,T(y,z)). [para(8615(a,1),116(a,1,2))]. 8617 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,x). [para(8571(a,2),6080(a,1,1,1,2))]. 8618 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,z / ((y \ 1) * z)). [para(8576(a,1),7482(a,2))]. 8619 T(x,y * T(x,z)) = T(x,x * y). [para(8589(a,2),4462(a,1))]. 8621 T(x * T(y,z),u * T(y,x * y)) = T(x * T(y,z),u * y). [para(8589(a,1),7410(a,1,2,2))]. 8622 K(x / y,z * (x / y)) = K(x / y,z * (y \ x)). [para(106(a,1),8592(a,1,2,2)),flip(a)]. 8623 T(x,K(y,z * T(x,u))) = K(y,K(x,z * x)) * x. [para(8592(a,1),8438(a,1,1,2)),flip(a)]. 8624 K(x * K(y,z \ u),u / z) = K(x,u / z). [para(106(a,1),8614(a,1,1,2,2))]. 8625 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(5788(a,1),8614(a,1,1))]. 8626 R(T(x,x * y),y,T(x,z)) = T(x,y). [para(8619(a,1),1199(a,1,1))]. 8627 K(x,y * (z * K(u,x))) = K(x,y * z). [para(117(a,1),8604(a,1,2)),flip(a)]. 8628 R(T(x,y),x \ y,T(x,z)) = T(x,x \ y). [para(14(a,1),8626(a,1,1,2))]. 8631 K(x,y) * (K(z,x) * (u * K(y,x))) = K(z,x) * T(u,K(x,y)). [para(8503(a,1),7642(a,1,2,2))]. 8632 T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). [para(8509(a,1),4957(a,1,2,1)),flip(a)]. 8633 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [para(8509(a,2),7638(a,1))]. 8634 ((1 / K(x,y)) * (z / (K(x,y) \ 1))) * K(x,y) = K(x,y) * z. [para(7898(a,2),8509(a,1,1))]. 8635 x / (x / K(y,z)) = (K(y,z) \ x) \ x. [para(8510(a,1),4333(a,1,2))]. 8636 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(8511(a,1),7752(a,1,1))]. 8637 a(x,K(y,z) * u,T(K(y,z),u * K(y,z))) = a(x,u * K(y,z),K(y,z)). [para(8511(a,1),8110(a,1,2))]. 8638 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(8523(a,2),5200(a,2)),flip(a)]. 8639 T(x,K(y,y * z)) = T(x,K(y,z)). [para(13(a,1),8638(a,1,2,2)),flip(a)]. 8640 T(x * (y \ z),K(y,y \ z)) = T(x,K(y,z)) * (y \ z). [para(8638(a,1),8138(a,2,1))]. 8641 K(x \ y,x) * (z / (x \ y)) = T(z / (y / x),K(x,y)). [para(8638(a,1),7854(a,1)),flip(a)]. 8642 T(K(x * y,z),K(x,y)) = K(x * y,z). [para(8639(a,1),2112(a,1))]. 8643 T(K(x,y),K(z,z * x)) = K(x,y). [para(8639(a,2),2112(a,1))]. 8644 T(x * y,T(z,K(x,y))) = T(x * y,z). [para(8639(a,1),8514(a,1,2))]. 8645 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [para(8639(a,1),8505(a,1))]. 8646 T(K(x,x * y),K(y,z)) = K(x,x * y). [hyper(35,a,8643,a)]. 8647 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(8537(a,1),19(a,1))]. 8648 K(x,K(K(y,x) * z,u)) = K(x,K(z,u)). [para(5352(a,1),8538(a,1,2,1)),flip(a)]. 8649 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [para(8538(a,1),8435(a,1)),flip(a)]. 8650 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(8547(a,1),5775(a,1,1)),flip(a)]. 8651 (K(x,y) * z) * K(z,T(y,u)) = T(K(x,y) * z,T(y,u)). [para(8559(a,1),5200(a,2,2)),flip(a)]. 8652 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(5178(a,1),8559(a,1,1)),flip(a)]. 8653 K(T(x,y) \ z,T(y,u)) = K(x \ z,T(y,u)). [para(5521(a,1),8559(a,1,1)),flip(a)]. 8654 K(T(x,y) \ K(z,x),T(x,y)) = K(T(x,y) \ 1,T(x,y)). [para(8559(a,1),6225(a,1)),flip(a)]. 8655 K(x,((y * z) / y) \ 1) = T(K(x,z \ 1),y). [para(6521(a,1),8565(a,1,1)),flip(a)]. 8656 x * (y * K(x,T(y,z))) = T(x,T(y,z)) * y. [para(113(a,1),8579(a,1,1,2)),flip(a)]. 8657 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(8625(a,1),5674(a,1,1,2))]. 8658 K(x,y * (T(z,x) / u)) = K(x,y * (z / u)). [para(968(a,1),8627(a,1,2,2))]. 8659 K(x,y * (z * L(K(u,x),w,v5))) = K(x,y * z). [para(6332(a,1),8627(a,1,2,2,2))]. 8660 K(x,y * (z * K(x,u))) = K(x,y * z). [para(7770(a,1),8627(a,1,2,2)),flip(a)]. 8661 T(x * y,z) * ((x * y) \ K(x,y)) = K(x,y) * K(x * y,z). [para(8644(a,1),8580(a,1,1))]. 8662 T(K(x,y * x),K(y,z)) = K(x,x * y). [para(5709(a,2),8646(a,1,1))]. 8663 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [para(8649(a,2),8435(a,1))]. 8664 K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). [para(8649(a,2),8474(a,1))]. 8665 K(x,y * (K(x,z) * u)) = K(x,y * u). [para(7967(a,1),8660(a,1,2,2))]. 8666 K(x,x * y) * K(y,z) = K(y,z) * K(x,y * x). [para(8662(a,1),8542(a,1,1))]. 8667 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5352(a,1),8663(a,1,1)),flip(a)]. 8668 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(8663(a,1),6433(a,1,3))]. 8669 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(8551(a,1),8663(a,1,1))]. 8670 (x * (K(y,z) * u)) * K(u,K(y,z)) = x * (u * K(y,z)). [para(8668(a,1),339(a,1,1)),flip(a)]. 8671 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [para(8668(a,1),7674(a,1)),flip(a)]. 8672 K(x,K(y,K(z,x) * u)) = K(u,K(x,y)). [para(5352(a,1),8664(a,1,1)),flip(a)]. 8673 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [para(8667(a,2),8649(a,1))]. 8674 K(x,K(y,K(z,x) * u)) = K(x,K(y,u)). [para(8672(a,2),8449(a,2)),flip(a)]. 8675 K(x,K(y,T(x,z) * u)) = K(x,K(y,x * u)). [para(5178(a,1),8674(a,1,2,2)),flip(a)]. 8676 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5721(a,1),8674(a,1,2,2))]. 8677 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [para(8628(a,2),105(a,1))]. 8678 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(3413,a,8414,a),flip(a)]. 8679 K(x,K(y,R(x,z,u))) = 1. [para(103(a,1),8678(a,1,2,2,1))]. 8680 T(x,K(y,R(x,z,u))) = x. [hyper(37,a,8679,a)]. 8681 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(8680(a,1),38(a,1,1)),flip(a)]. 8682 ((x \ y) * K(z,x)) * K(x,K(y,z)) = K(z,x) * (x \ y). [para(8526(a,1),8423(a,1,2))]. 8683 T(x,K(y,z)) * u != x * w | K(y,K(x,z)) * u = w. [para(8439(a,1),19(a,1))]. 8684 (K(x,y) * (x / z)) * K(x,K(y,z \ x)) = (x / z) * K(x,y). [para(8075(a,1),8457(a,1,2))]. 8685 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(5330(a,1),8461(a,1,1,2))]. 8686 (x * K(y,K(z,u \ x))) / u = T(x / u,K(y,z)). [para(8469(a,1),5789(a,1,1,2))]. 8687 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [hyper(8149,a,8479,a),flip(a)]. 8688 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(7768(a,2),8479(a,1,2))]. 8689 K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). [para(8530(a,1),8479(a,1,1))]. 8691 T(x,K(y,z * x)) = T(x,K(y,x * z)). [para(8499(a,1),8437(a,1))]. 8692 T(x,K(y,x * z)) * K(y,z * x) = K(y,z * x) * x. [para(8691(a,1),8509(a,1,1))]. 8693 K(x,R(y * K(z,y),u,w)) = K(x,R(T(y,z),u,w)). [para(5171(a,1),8563(a,1,2,1,1)),flip(a)]. 8694 K(((x * y) / x) \ 1,z) = T(K(y \ 1,z),x). [para(13(a,1),8566(a,1,1,1,1)),flip(a)]. 8696 K(x * T(y,z \ u),u / z) = K(x * y,u / z). [para(950(a,1),8624(a,1,1))]. 8697 K(x / (y \ z),z / y) = K((y \ z) \ x,z / y). [para(5127(a,1),8624(a,1,1)),flip(a)]. 8698 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(8652(a,1),5679(a,1,2,1,2)),flip(a)]. 8699 T(K(x,T(y,z) \ 1),z) = K(x,y \ 1). [para(127(a,1),8655(a,1,2,1)),flip(a)]. 8700 T(K(x,y \ 1),z) = K(x,y \ K(y,z)). [para(5584(a,1),8655(a,1,2)),flip(a)]. 8701 T(K(x,y \ 1),L(K(y,z),u,w)) = K(x,y \ 1). [para(3111(a,1),8699(a,1,1,2,1))]. 8702 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(8699(a,1),8540(a,1,1)),flip(a)]. 8703 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(3596(a,1),8702(a,2,1))]. 8704 x * T(K(x,y \ 1),z) = T(x,T(y,z) \ 1). [para(8702(a,1),5200(a,2,2)),flip(a)]. 8705 K(x,T(K(y,z) * u,w) \ 1) = T(K(x,u \ K(z,y)),w). [para(6530(a,1),8702(a,2,1))]. 8706 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [para(8702(a,2),7973(a,2)),flip(a)]. 8707 K(x \ y,z * (x / ((x \ y) * x))) = K(x \ y,z * (x / y)). [para(6706(a,1),8658(a,1,2,2))]. 8708 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8671(a,2),5442(a,1,1))]. 8709 K(x,K(y,T(x,z) * u)) = K(x,K(y,u)). [para(8675(a,2),8527(a,1))]. 8710 K(x,K(y,z)) * (T(x,u) * z) = T(T(x,u) * z,K(x,y)). [para(8709(a,1),8459(a,1,1))]. 8711 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(6114(a,1),8688(a,1,1,2))]. 8712 K(((x * (1 / y)) / x) \ 1,z) = T(K(y,z),x). [para(59(a,1),8694(a,2,1,1))]. 8713 T(K(x \ 1,y),z) = K(x \ K(x,z),y). [para(5584(a,1),8694(a,1,1)),flip(a)]. 8714 K(((x * y) / x) \ 1,z) = K(T(y,x) \ 1,z). [para(8694(a,2),6086(a,2)),flip(a)]. 8715 K(T(x,y) \ 1,z) = K(x \ K(x,y),z). [para(8713(a,1),6086(a,2))]. 8716 K((x \ y) \ K(x \ y,z),u) = T(K(y \ x,u),z). [para(6464(a,1),8713(a,1,1)),flip(a)]. 8717 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(8713(a,1),8540(a,1,1))]. 8718 K(T(x,y) \ 1,z) * K(x \ K(x,y),K(x,y) \ x) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(8715(a,2),5522(a,1,1))]. 8719 T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). [para(8704(a,1),7994(a,1))]. 8721 K(K(x,y \ 1) \ y,z) = T(K(y,z),x). [para(7372(a,2),8712(a,1,1))]. 8722 K(x * K(x \ 1,y),z) = T(K(x,z),y). [para(5446(a,1),8721(a,1,1))]. 8723 K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y \ 1) \ 1,z). [para(558(a,1),8714(a,1,1,1))]. 8724 K(x,y * (z * (u * K(w,x)))) = K(x,y * (z * u)). [para(89(a,1),8659(a,1,2,2))]. 8725 K(x,K(y,z)) * (K(x,x \ y) * u) = T(K(x,x \ y),z) * u. [para(8528(a,1),8421(a,1,1))]. 8726 R((K(x,K(y,(y * x) * z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(8426(a,2),5139(a,1,1))]. 8727 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(7770(a,1),8430(a,1,1)),flip(a)]. 8728 T(x * y,K(z,(1 / y) \ x)) = x * y. [hyper(1616,a,8500,a(flip)),flip(a)]. 8729 T(x * y,K(z,(y \ 1) \ x)) = x * y. [para(7218(a,1),8728(a,1,2))]. 8730 K((x \ 1) \ y,z) * (y * x) = (y * x) * K((x \ 1) \ y,z). [para(8729(a,1),7750(a,1,1)),flip(a)]. 8731 T(K(x,y) * z,K(u,x)) = K(x,y) * T(z,K(u,x)). [para(8507(a,1),8502(a,1)),flip(a)]. 8732 K(x,K(y,z)) * K(x * y,x) = K(x * y,T(x,z)). [para(8449(a,2),8518(a,1,1))]. 8733 K(x,y) * (y * x) = (x * y) * K(K(z,u),u * z). [para(8418(a,2),8532(a,2,2))]. 8734 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [para(8534(a,2),8420(a,1))]. 8735 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(7751(a,1),8734(a,1,2))]. 8736 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [para(8535(a,2),8425(a,1))]. 8737 (K(x,y) \ z) \ z = T(K(x,y),z). [para(8736(a,1),105(a,1)),flip(a)]. 8739 (K(x,y) * z) \ z = T(K(y,x),z). [para(5336(a,1),8737(a,1,1))]. 8740 x / (x / K(y,z)) = T(K(y,z),x). [para(8737(a,1),8635(a,2))]. 8741 (K(x,y) * z) * T(K(y,x),z) = z. [para(8739(a,1),14(a,1,2))]. 8742 x * ((K(y,z) * x) \ x) = K(z,y) * x. [para(8739(a,2),104(a,1,2))]. 8743 L(T(K(x,y),z),K(y,x) * z,u) = (u * (K(y,x) * z)) \ (u * z). [para(8739(a,1),91(a,1,1))]. 8744 x / (x / K(y,z)) = K(y,T(z,x)). [para(8740(a,2),7973(a,2)),flip(a)]. 8745 x / (x * K(y,z)) = K(z,T(y,x)). [para(7768(a,1),8744(a,1,2))]. 8746 K(x,T(y,z)) * (z * K(y,x)) = z. [para(8745(a,1),16(a,1,1))]. 8747 K(T(x,y),T(z,y)) = K(x,z). [hyper(8006,a,8746,a),flip(a)]. 8748 K(T(x,y),z) * y = y * K(x,z). [hyper(5452,a,8746,a)]. 8749 R(K(x,y),z * K(u,x),w) = R(K(x,y),z,w). [para(8746(a,1),8228(a,1,2)),flip(a)]. 8750 K(T(T(x,y),z),T(u,y)) = K(T(x,z),u). [para(38(a,1),8747(a,1,1))]. 8751 K(T(x,y),T(T(z,y),u)) = K(x,T(z,u)). [para(38(a,1),8747(a,1,2))]. 8752 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(40(a,2),8747(a,1,1))]. 8753 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(40(a,2),8747(a,1,2))]. 8754 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [para(42(a,2),8747(a,1,1))]. 8755 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(42(a,2),8747(a,1,2))]. 8756 K(x \ y,T(z,x)) = K(y / x,z). [para(106(a,1),8747(a,1,1))]. 8757 K(T(x,y),y \ z) = K(x,z / y). [para(106(a,1),8747(a,1,2))]. 8758 K((x * y) / x,z) = K(y,T(z,x)). [para(126(a,1),8747(a,1,1)),flip(a)]. 8759 K(x,(y * z) / y) = K(T(x,y),z). [para(126(a,1),8747(a,1,2)),flip(a)]. 8760 K(x / (x / y),z) = K(y,T(z,x / y)). [para(151(a,1),8747(a,1,1)),flip(a)]. 8761 K(T(x \ y,z),T(u,x)) = K(T(y / x,z),u). [para(148(a,1),8747(a,1,1))]. 8762 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(289(a,1),8747(a,1,1))]. 8763 K(R(x \ y,z,u),T(w,x)) = K(R(y / x,z,u),w). [para(150(a,1),8747(a,1,1))]. 8764 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(505(a,2),8747(a,1,2)),flip(a)]. 8765 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(543(a,1),8747(a,1,1))]. 8766 K(T(x,R(y,z,u)),y) = K(x,y). [para(544(a,1),8747(a,1,2))]. 8767 K(T(x,(1 / y) \ z),z * y) = K(x,z * y). [para(672(a,1),8747(a,1,2))]. 8768 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(703(a,1),8747(a,1,2))]. 8769 K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). [para(1207(a,1),8747(a,1,1)),flip(a)]. 8770 K(T(x,x * y) * y,z) = K(x * y,T(z,T(x,y))). [para(1230(a,1),8747(a,1,1)),flip(a)]. 8771 K(T(x,y \ 1),(1 / y) \ z) = K(x,z / (1 / y)). [para(2950(a,1),8747(a,1,2))]. 8772 R(1 / T(x,y),T(x,y),K(z,x)) = 1 / T(x,y). [para(8747(a,1),3433(a,1,3))]. 8773 K(T(x,x * y) * y,z) = K(x * y,T(z,x)). [para(3965(a,1),8747(a,1,1)),flip(a)]. 8774 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(4078(a,1),8747(a,1,1))]. 8775 K(x / (x / y),z) = K(y,T(z,y \ x)). [para(4329(a,1),8747(a,1,1)),flip(a)]. 8776 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(4329(a,1),8747(a,1,2))]. 8777 K(x,(T(y,z) * z) / T(y,z)) = K(T(x,y),z). [para(4363(a,1),8747(a,1,2)),flip(a)]. 8778 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(4346(a,1),8747(a,1,1)),flip(a)]. 8780 K(x * K(y,x),z) = K(x,T(z,y)). [para(5171(a,1),8747(a,1,1)),flip(a)]. 8781 K(x,y * K(z,y)) = K(T(x,z),y). [para(5171(a,1),8747(a,1,2)),flip(a)]. 8782 x * K(T(x,y),T(z,y)) = T(x,z). [para(8747(a,2),5200(a,2,2)),flip(a)]. 8783 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(8747(a,1),5214(a,2,1))]. 8784 K(T(x * K(y,x),z),u) = K(T(x,z),T(u,y)). [para(5231(a,1),8747(a,1,1)),flip(a)]. 8785 K(x,T(y * K(z,y),u)) = K(T(x,z),T(y,u)). [para(5231(a,1),8747(a,1,2)),flip(a)]. 8786 T(T(x,y) * K(z,x),u) / T(T(x,y),u) = K(T(z,y),T(T(x,y),u)). [para(8747(a,1),5680(a,1,1,1,2))]. 8787 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(8747(a,1),5681(a,1,1)),flip(a)]. 8788 T(x * K(T(y,z),x),z) \ 1 = T(x,z) \ K(x,y). [para(8747(a,1),5682(a,2,2))]. 8789 R(x,K(y,z),T(y,u)) = x. [para(8747(a,1),6404(a,1,2))]. 8790 R(x,T(y,z),K(y,u)) = x. [para(8747(a,1),6433(a,1,3))]. 8791 T(x,T(y,z)) * z = (x * z) * K(x,y). [para(8747(a,1),6408(a,1,2)),flip(a)]. 8792 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(7368(a,1),8747(a,1,1))]. 8793 K(T(x,y),z \ y) = K(x,y / z). [para(8747(a,1),7485(a,1)),flip(a)]. 8794 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [para(8747(a,1),7475(a,1)),flip(a)]. 8795 K(x \ y,T(z,y)) = K(y / x,z). [para(8747(a,1),7537(a,1)),flip(a)]. 8796 K(R(K(x,y),z,u) * w,T(x,v5)) = K(w,T(x,v5)). [para(8747(a,1),7927(a,1,1,1,1))]. 8797 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(8747(a,1),8044(a,1,1,1,2))]. 8798 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(8747(a,1),8076(a,1,2,1,2))]. 8799 K(T(x,y),z) = T(K(x,z),y). [para(8747(a,1),8550(a,1,1)),flip(a)]. 8800 K(T(x,y),z) = K(x,T(z,y)). [para(8747(a,1),8560(a,1)),flip(a)]. 8801 K(T(x,y),y / z) = K(x,z \ y). [para(8747(a,1),8576(a,1)),flip(a)]. 8804 (x * K(y,z)) * T(y,u) = x * (K(y,u) * T(y,z)). [para(8789(a,1),5746(a,1,1)),flip(a)]. 8805 R(x,T(y,z),T(K(y,u),w)) = x. [para(7739(a,1),8790(a,1,3))]. 8806 K(T(x,y \ 1),y) = K(x,y). [para(8799(a,2),1657(a,1))]. 8807 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(8799(a,1),5214(a,2,1)),flip(a)]. 8808 K(x * K(T(y,z),u),z) = K(x * K(y,u),z). [para(8799(a,2),7922(a,1,1,2))]. 8809 K(T(x \ K(x,y),y),z) = K(x \ 1,z). [para(8799(a,2),8717(a,1))]. 8810 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(42(a,2),8800(a,1,1))]. 8811 K(x / y,T(z,y)) = K(y \ x,z). [para(106(a,1),8800(a,1,1)),flip(a)]. 8812 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(8800(a,1),5214(a,2,1)),flip(a)]. 8813 1 / (x \ K(y,T(x,z))) = T(x,T(y,z)). [para(8800(a,1),5197(a,2,2,2)),flip(a)]. 8814 K(T(x * y,x),y) = K(x * y,y). [para(8800(a,2),5924(a,1))]. 8815 R(x,y,K(T(y,z),u)) = x. [para(8800(a,2),6433(a,1,3))]. 8816 R(x,y \ 1,K(z,T(y,u))) = x. [para(8800(a,1),7146(a,1,3))]. 8817 K((x \ y) \ y,z) = K(x,T(z,y)). [para(8800(a,1),7536(a,2))]. 8818 K(x / y,T(z,x)) = K(y \ x,z). [para(8800(a,1),7537(a,1))]. 8819 (x * K(y,T(z,u))) \ x = K(z,T(y,u)). [para(8800(a,1),7769(a,1,1,2))]. 8820 (x / y) * K(z,T(y,u)) = x / T(y,T(z,u)). [para(8800(a,1),7804(a,1,2))]. 8821 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(8800(a,1),7786(a,1,2))]. 8822 (x * K(y,T(x \ z,u))) \ z = T(x \ z,T(y,u)). [para(8800(a,1),7850(a,1,1,2))]. 8823 K(x,K(T(y,z),u)) = K(y,K(x,T(u,z))). [para(8800(a,2),8435(a,1,2))]. 8824 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(8800(a,1),8449(a,1,2))]. 8825 K(x,K(y,T(z,u))) = K(x,K(z,T(y,u))). [para(8800(a,1),8474(a,1,2))]. 8826 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(8800(a,1),8454(a,1,2,2))]. 8827 K(x,K(y,K(z,T(x,u)) * w)) = K(w,K(x,y)). [para(8800(a,1),8672(a,1,2,2,1))]. 8828 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(8512(a,1),8800(a,1,1)),flip(a)]. 8829 R(x,(y * z) / y,K(z,u)) = x. [para(126(a,1),8815(a,1,3,1))]. 8830 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(5171(a,1),8816(a,1,3,2))]. 8831 (x / ((y * z) / y)) \ (x * K(z,u)) = ((y * z) / y) * K(z,u). [para(8829(a,1),345(a,1,1))]. 8832 K(x \ y,z) * y = y * K(y / x,z). [para(7537(a,1),8748(a,1,1))]. 8833 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(7857(a,1),8748(a,1,1))]. 8834 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(8143(a,1),8748(a,1,1,1))]. 8835 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(24(a,2),8756(a,1,1)),flip(a)]. 8836 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [para(38(a,1),8756(a,1,2))]. 8837 K(x / L(y,z,u),y) = K(L(y,z,u) \ x,y). [para(531(a,1),8756(a,1,2)),flip(a)]. 8838 K(x / (y \ z),z \ y) = K((y \ z) \ x,z \ y). [para(8756(a,1),3600(a,1))]. 8839 K(x / (y \ z),z / (z / y)) = K((y \ z) \ x,y). [para(4329(a,1),8756(a,1,2)),flip(a)]. 8840 (x \ y) * K(y / x,z) = T(x \ y,T(z,x)). [para(8756(a,1),5200(a,2,2)),flip(a)]. 8841 K((x \ y) \ 1,T(z,y)) = K(x / y,z). [para(8756(a,1),6464(a,2))]. 8842 K((T(x,y) * z) \ u,T(x,x * z)) = K(u / (T(x,y) * z),x). [para(7400(a,1),8756(a,1,2))]. 8844 K(x / y,y * K(z,u)) = K(y \ x,K(z,u) * y). [para(8756(a,1),7856(a,1))]. 8845 T(K(x \ y,z),x) = K(y / x,z). [para(8756(a,1),7973(a,1)),flip(a)]. 8846 K(x / y,z) * y = y * K(y \ x,z). [para(8756(a,1),8551(a,1,1))]. 8847 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(8583(a,1),8756(a,1,2))]. 8848 K(T(x,y) \ z,T(y,x)) = K(z / x,y). [para(8756(a,1),8653(a,2))]. 8849 K(L(T(x,y),z,u),y \ w) = K(L(x,z,u),w / y). [para(40(a,2),8757(a,1,1))]. 8850 K(R(T(x,y),z,u),y \ w) = K(R(x,z,u),w / y). [para(42(a,2),8757(a,1,1))]. 8852 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(543(a,1),8757(a,1,1)),flip(a)]. 8853 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(4307(a,1),8757(a,1,1))]. 8854 K(T(x,y),(x \ y) \ z) = K(x,z / (x \ y)). [para(8757(a,1),7532(a,1)),flip(a)]. 8856 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(8590(a,1),8757(a,1,1))]. 8857 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3959(a,1),8758(a,1,1))]. 8858 ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). [para(8758(a,1),5200(a,2,2)),flip(a)]. 8859 K((x * y) / x,T(((x * y) / x) * z,u)) = K(y,T(T(z * ((x * y) / x),u),x)). [para(8758(a,1),5743(a,1)),flip(a)]. 8860 K(R(x * K(y,x),z,u),w) = K(R(x,z,u),T(w,y)). [para(5375(a,2),8758(a,1,1))]. 8861 K((x \ 1) \ K(y,x),z) = K(x,T(z,y)). [para(8758(a,1),5892(a,2))]. 8862 L(x * K((y * z) / y,x),u,w) / L(x,u,w) = K(z,T(L(x,u,w),y)). [para(8758(a,1),5777(a,2))]. 8863 R(x,y,z) \ R(x * K((u * w) / u,x),y,z) = K(w,T(R(x,y,z),u)). [para(8758(a,1),5781(a,2))]. 8864 L(K(x,T(y \ z,u)),y \ z,y) = K((u * x) / u,(z \ y) \ 1). [para(8758(a,1),6127(a,1,1))]. 8865 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(552(a,2),8759(a,1,2))]. 8866 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [para(8759(a,1),5419(a,2))]. 8867 L(x,y,(y * x) / y) * K(T(y * x,y),x) = (y * x) / y. [para(8759(a,1),5182(a,1,2))]. 8868 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(8762(a,1),5214(a,2,1))]. 8869 K(x * K(y,x),T(z,u)) = T(z * K(x,T(z,y)),u) / T(z,u). [para(8780(a,1),5680(a,1,1,1,2)),flip(a)]. 8870 T(x * K(y,x),z) * (x \ K(x,y)) = K(x,T(z,y)). [para(8780(a,1),5639(a,2))]. 8871 K(x,T(y,L(x,z,u) \ 1)) = K(x,y). [para(8780(a,1),6641(a,1))]. 8872 (K(x,y) / x) * T(x * K(y,x),z) = K(x,T(z,y)). [para(8780(a,1),6555(a,2))]. 8873 K(T(x,y),T(z,y * L(x,u,w))) = K(R(x,y,L(x,u,w)),z). [para(6809(a,1),8780(a,1,1)),flip(a)]. 8874 K(T(x,y),T(z,R(x,u,w) * y)) = K(R(x,y,R(T(x,y),u,w)),z). [para(7154(a,1),8780(a,1,1)),flip(a)]. 8875 K(R(x / (x / y),y \ x,y),z \ (x / (x / y))) = K(y,T((x / (x / y)) * (z \ 1),x)). [para(8780(a,1),6830(a,2))]. 8876 T(K(x * K(y,x),z \ 1),u) = K(x,T(T(z,u) \ 1,y)). [para(8780(a,1),8702(a,1)),flip(a)]. 8877 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z))). [para(8800(a,1),8780(a,1,1,2))]. 8878 K(x,T(y,T(z,R(x,u,w)))) = K(x * K(z,x),y). [para(8766(a,1),8780(a,1,1,2)),flip(a)]. 8879 K((x \ y) * K(z,y / x),u) = K(x \ y,T(u,T(z,x))). [para(8757(a,1),8780(a,1,1,2))]. 8880 K(x,y * T(K(y \ z,y),z)) = K(T(x,y \ z),y). [para(5104(a,2),8781(a,1,2,2))]. 8881 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(8781(a,1),5770(a,1,2,2)),flip(a)]. 8882 K(x,y * T(K(y \ z,y),z)) = K(T(x,(y / z) \ 1),y). [para(5809(a,2),8781(a,1,2,2))]. 8883 K(x,y * K(z * y,y)) = K(T(x,y * z),y). [para(5920(a,2),8781(a,1,2,2))]. 8884 L(K(x \ 1,y * K(z,y)),u,w) = K(T(L(x,u,w) \ 1,z),y). [para(8781(a,1),6325(a,2))]. 8885 x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(8781(a,1),5750(a,1,2,1))]. 8886 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(5243(a,1),8782(a,1,2,2)),flip(a)]. 8887 K(x,y / (y / z)) = K(T(x,y),z). [para(59(a,1),8793(a,1,2)),flip(a)]. 8888 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(543(a,1),8793(a,1,1)),flip(a)]. 8890 K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). [para(6108(a,1),8793(a,1,1)),flip(a)]. 8891 K(T(x,x \ y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [para(6247(a,1),8793(a,1,1))]. 8892 K(T(x,y),z \ (x \ y)) = K(x,(x \ y) / z). [para(8793(a,1),7532(a,1)),flip(a)]. 8895 K(x / y,x / z) = K(y \ x,z \ x). [para(8793(a,1),7537(a,1))]. 8896 K(T(x \ 1,y),z \ (x * y)) = K(x \ 1,(x * y) / z). [para(8793(a,1),7538(a,1)),flip(a)]. 8897 K(T(T(x,y),z),u \ (x \ z)) = K(T(x,y),(x \ z) / u). [para(8793(a,1),7542(a,1)),flip(a)]. 8898 K(x / (x / y),z) = K(y,T(z,x)). [para(59(a,1),8795(a,1,1)),flip(a)]. 8899 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [para(531(a,1),8795(a,1,2)),flip(a)]. 8900 K(L(x,y,z) / u,T(x,w)) = K(u \ L(x,y,z),T(x,w)). [para(534(a,1),8795(a,1,2)),flip(a)]. 8901 K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). [para(5555(a,1),8795(a,1,2)),flip(a)]. 8903 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(7395(a,1),8795(a,1,2))]. 8904 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [para(8795(a,1),7476(a,1)),flip(a)]. 8905 K(x / y,x \ z) = K(y \ x,z / x). [para(8795(a,1),8561(a,1))]. 8906 K(x \ (y * T(z,u)),T(z,y * z)) = K((y * T(z,u)) / x,z). [para(8589(a,1),8795(a,1,2))]. 8907 T((x / y) \ 1,K(y \ x,z)) = (x / y) \ 1. [para(8811(a,1),1815(a,1,2))]. 8908 L(x,y / z,K(z \ y,u)) = x. [para(8811(a,1),4230(a,1,3))]. 8910 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [para(8811(a,1),5834(a,1))]. 8915 K(x,K(y / z,T(u,z))) = K(x,K(u,z \ y)). [para(8811(a,2),8474(a,1,2))]. 8923 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(8818(a,1),7096(a,1,1)),flip(a)]. 8924 R(K(x / y,T(z,x * u)),x,u) = K((y * u) \ (x * u),z). [para(8818(a,1),7096(a,2))]. 8925 T(K(x \ y,z),x) = K((x / y) \ 1,z). [para(8845(a,2),5830(a,2)),flip(a)]. 8926 K(x / ((y * z) \ y),z) = K(((y * z) \ y) \ x,z). [para(8845(a,1),8065(a,1))]. 8928 K(x / (x / y),T(z,u)) = K(y,T(T(z,x),u)). [para(38(a,1),8898(a,2,2))]. 8929 K((x * y) / ((x / z) * y),u) = R(K(z,T(u,x)),x,y). [para(8898(a,1),7096(a,1,1)),flip(a)]. 8930 K(T(x / (x / y),z),u) = K(T(y,z),T(u,x)). [para(7346(a,1),8898(a,1,1))]. 8932 R(x,y \ K(y,z),K(u,y)) = x. [para(5634(a,1),8830(a,1,2))]. 8933 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [para(8932(a,1),7838(a,1)),flip(a)]. 8934 K(x,T(L(x,y,z) * u,u)) = K(x,L(x,y,z) * u). [para(8871(a,1),7486(a,1)),flip(a)]. 8935 K(x,T(y,z / x)) = K(x,T(y,z)). [para(8760(a,1),8898(a,1))]. 8936 K(x,T(y,z * x)) = K(x,T(y,z)). [para(15(a,1),8935(a,1,2,2)),flip(a)]. 8937 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(115(a,1),8935(a,1,2,2)),flip(a)]. 8938 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4395(a,1),8935(a,1,2))]. 8939 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(8936(a,1),7967(a,1,2))]. 8940 K(x,T(y,z)) * (z * x) = (z * x) * K(x,y). [para(8936(a,1),8551(a,1,1))]. 8941 K(x,T(y,x \ z)) = K(x,T(y,z)). [para(8775(a,1),8898(a,1))]. 8942 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(8775(a,1),8760(a,1)),flip(a)]. 8943 K(x,T(y,x * z)) = K(x,T(y,z)). [para(13(a,1),8941(a,1,2,2)),flip(a)]. 8944 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(8941(a,1),8415(a,1,1,2))]. 8945 K(x,T(y,(x \ z) * x)) = K(x,T(y,z)). [para(8941(a,1),8936(a,2))]. 8946 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(106(a,1),8943(a,1,2)),flip(a)]. 8947 K(x,T(x * y,L(z,y,x))) = K(x,T(x * y,y * z)). [para(8943(a,1),7480(a,1)),flip(a)]. 8948 K(T(x,y \ z),y) = K(T(x,z),y). [para(8776(a,2),8887(a,1))]. 8949 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [para(8783(a,2),5728(a,1))]. 8951 (x * y) * K(x,z) = x * (y * K(x,z)). [para(8791(a,1),8579(a,1))]. 8952 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [para(8812(a,1),5728(a,1)),flip(a)]. 8954 K(x,K(y,T(z,u))) = K(z,K(y,T(x,u))). [para(8823(a,1),8449(a,1))]. 8955 K(x,K(y,T(y \ z,u))) = K(y,K(z,T(x,u))). [para(8824(a,1),8528(a,1))]. 8956 K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). [para(8824(a,2),8518(a,1,1))]. 8957 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(8935(a,1),8824(a,2,2))]. 8958 K(x,K(y,T(z,u))) * K(x,z) = T(K(x,z),T(y,u)). [para(8825(a,1),8420(a,1,1))]. 8959 K(x \ y,z) \ (y * K(y / x,z)) = y. [hyper(68,a,8832,a)]. 8960 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8832(a,1),7575(a,1,2))]. 8961 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(8832(a,2),7822(a,2,2,1)),flip(a)]. 8962 K(((x / y) * x) \ (y * (x / y)),z) = K(y / x,z). [para(8841(a,1),8019(a,2))]. 8963 x \ T(x * K(y,x),z) = K(y,x) * K(x,T(z,y)). [para(8861(a,1),6495(a,2,2))]. 8964 T(x,T(y,T(T(x,z),u))) = T(x,y). [para(8868(a,2),5214(a,2)),flip(a)]. 8965 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(5171(a,1),8964(a,1,2,2,1))]. 8966 K(T(x,y) \ 1,z) = K(y \ (x \ y),z). [para(8910(a,2),7969(a,2))]. 8967 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(32(a,2),8925(a,1,1,1)),flip(a)]. 8968 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(13(a,1),8938(a,2,2,2))]. 8969 K(x,T(y,(z \ u) \ x)) = K(x,T(y,u \ z)). [para(8054(a,1),8938(a,1,2)),flip(a)]. 8970 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(5379(a,1),8942(a,1,2,2)),flip(a)]. 8971 K(x,T(y,T(z * x,u))) = K(x,T(y,T(x * z,u))). [para(4970(a,1),8945(a,1,2,2))]. 8972 x * (K(y,x) * T(y,z)) = T(y,T(z,x)) * x. [para(8949(a,1),144(a,1,2))]. 8973 (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(8949(a,2),140(a,1,1,1))]. 8974 T(x,K(y,x) * T(y,z)) = T(x,T(y,T(z,x))). [para(8949(a,1),4283(a,1,2))]. 8975 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(8550(a,1),8949(a,1,2)),flip(a)]. 8976 L(K(x,y),z,x) = K(x,y). [hyper(7153,a,8951,a)]. 8977 R(x,y,K(x,z)) = x. [hyper(329,a,8951,a)]. 8980 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(8951(a,1),6403(a,1,1))]. 8981 R(T(x,y),z,K(x,u)) = T(x,y). [para(8977(a,1),42(a,2,1))]. 8982 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(8977(a,1),46(a,1,1)),flip(a)]. 8984 R((x * y) / x,z,K(y,u)) = (x * y) / x. [para(8977(a,1),552(a,2,1,2))]. 8985 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(8977(a,1),334(a,1,1,1)),flip(a)]. 8986 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(8977(a,1),335(a,1,1,1)),flip(a)]. 8987 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(8977(a,1),336(a,1,1,1)),flip(a)]. 8988 R(x * y,K(x,z),K(y * K(x,z),x)) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(8977(a,1),819(a,1,1,3,2))]. 8993 R(x,y,K(T(x,z),u)) = x. [para(8800(a,2),8977(a,1,3))]. 8995 a(x,y,K(x,z)) = 1. [hyper(34,a,8976,a)]. 8998 K(L(x,y,x),z) = K(x,z). [para(8976(a,1),7048(a,1)),flip(a)]. 8999 (x * y) * K(T(x,z),u) = x * (y * K(T(x,z),u)). [para(8993(a,1),100(a,1,1)),flip(a)]. 9001 (x * K(y,x)) * L(y,z,y) = L(y,z,y) * x. [para(8998(a,1),5216(a,1,1,2))]. 9002 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(8998(a,1),5277(a,1,1))]. 9004 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,(((x * (y * x)) / x) * z) / ((u * y) * z)). [para(8998(a,1),7102(a,1)),flip(a)]. 9005 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,T(x,x * y) \ z). [para(8998(a,1),8402(a,2,2))]. 9006 T(x,y) \ (z * K(x,u)) = (T(x,y) \ z) * K(x,u). [para(8981(a,1),355(a,1,1))]. 9010 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(8982(a,1),273(a,1,1)),flip(a)]. 9011 R(x,y,T(x,z)) = R(x,y,x). [para(8982(a,1),7674(a,1)),flip(a)]. 9012 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(106(a,1),9011(a,1,3)),flip(a)]. 9013 R(x,y,(x \ z) \ z) = R(x,y,x). [para(105(a,1),9011(a,1,3))]. 9014 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,T(x,x \ y)). [para(435(a,1),9011(a,1,3))]. 9015 T(x,x \ y) \ R(T(x,x \ y),z,T((x \ y) \ y,u)) = T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y). [para(9011(a,1),1727(a,2,2))]. 9021 T(x,T(T(y,z),z)) = T(x,y). [hyper(17,a,8949,a(flip),b,8952,a)]. 9022 T(x,(y * z) / y) = T(x,T(z,y)). [para(126(a,1),9021(a,1,2,1)),flip(a)]. 9023 T(x,y * K(z,y)) = T(x,T(y,z)). [para(5171(a,1),9021(a,1,2,1)),flip(a)]. 9024 T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). [para(9023(a,1),7701(a,1))]. 9025 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [para(8954(a,1),8528(a,1))]. 9026 K((x * y) \ y,z) = K(y \ (x \ y),z). [para(8966(a,1),6485(a,1)),flip(a)]. 9027 K(x,y) * L(T(y,x),z,y) = L(y,z,y). [hyper(5452,a,9002,a)]. 9028 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [para(9002(a,1),3094(a,2))]. 9029 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [para(9002(a,1),5612(a,1,2)),flip(a)]. 9030 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(9026(a,1),5197(a,2,2,2)),flip(a)]. 9031 L(T(x,y),z,x) / (x * K(x,y)) = x \ L(x,z,x). [para(9028(a,1),6451(a,1,1))]. 9032 (((x * y) / x) \ z) * K(y,y \ z) = ((x * y) / x) \ (y * (z / y)). [para(8984(a,1),5602(a,1,1)),flip(a)]. 9033 R(K(x,T((y * K(z,x)) / (u / w),v5)),y,w) = K(x,T(((y * K(z,x)) * w) / u,v5)). [para(8749(a,1),8266(a,1))]. 9034 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1064(a,1),8752(a,1,1))]. 9035 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [para(8752(a,1),7050(a,1)),flip(a)]. 9036 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [para(8752(a,1),8331(a,1)),flip(a)]. 9037 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(103(a,1),8753(a,1,2,1))]. 9038 K(T(x,y),T(z,R(z,u,w) * y)) = K(x,L(z,y,R(z,u,w))). [para(1059(a,1),8753(a,1,2))]. 9039 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1064(a,1),8753(a,1,2))]. 9040 K(T(x,y),T(z,y * z)) = K(x,L(z,y,z)). [para(4463(a,1),8753(a,1,2))]. 9041 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(42(a,2),9037(a,1,1))]. 9042 K(T(x,(y \ z) \ u),z \ (y * u)) = K(x,L((y \ z) \ u,y \ z,y)). [para(316(a,1),9037(a,1,2))]. 9043 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4329(a,1),8754(a,1,1,1)),flip(a)]. 9044 K(L(R(x,y,z),x \ u,x),T(w,u)) = K(R(u / (u / x),y,z),w). [para(4542(a,1),8754(a,1,1))]. 9045 K((x * y) \ z,L(y,x,y)) = K(T(z / (x * y),x),y). [para(8761(a,1),9040(a,1)),flip(a)]. 9046 ((x * y) * K(z,x * y)) / y = x * K(z,(x \ (1 / y)) \ 1). [para(8767(a,1),8346(a,1,1,2))]. 9047 K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). [para(6903(a,1),8769(a,1,1))]. 9048 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(5172(a,1),8774(a,1,2,2))]. 9049 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(8777(a,1),8759(a,1)),flip(a)]. 9050 K(R(T(x,T(y,z)),u,w),z) = K(T(R(x,u,w),y),z). [para(42(a,2),9049(a,1,1))]. 9051 K(T(T(x,y) \ z,T(x,y)),T(z,u)) = K(T(x,y) \ z,T((x \ z) * T(x,z),u)). [para(8785(a,1),8296(a,2)),flip(a)]. 9052 T(L(x,y,z) * K(T(u,w),L(x,y,z)),w) = K(u,L(x,y,z)) * L(T(x,w),y,z). [para(40(a,2),8787(a,2,2))]. 9053 T((x * (y * K(T(z,u),y))) / x,u) = (x * (K(z,y) * T(y,u))) / x. [para(8787(a,1),290(a,1,1,2)),flip(a)]. 9054 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(8787(a,1),8747(a,1,1))]. 9055 T((x * K(y,x)) * K(T(T(z,u),y),x),u) = K(z,x * K(y,x)) * T(x * K(y,x),u). [para(8781(a,1),8787(a,1,1,2))]. 9056 K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). [para(7537(a,1),8808(a,1,1,2)),flip(a)]. 9057 (x / (y / z)) * K(u,z \ y) = x / T(y / z,T(u,z)). [para(106(a,1),8820(a,1,2,2))]. 9058 K(x,K(y,z)) * (K(u,T(y,w)) * x) = T(K(u,T(y,w)) * x,K(y,z)). [para(8827(a,1),8459(a,1,1))]. 9059 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [para(8836(a,1),8063(a,1))]. 9060 K(x / L(y,z,z \ 1),y) = K(y \ x,y). [para(8837(a,2),8111(a,1))]. 9061 K(x \ (y * L(x,z,z \ 1)),x) = K(y,x). [para(15(a,1),9060(a,1,1)),flip(a)]. 9062 K((x \ y) * L(x,z,z \ 1),x) = K(y,x). [para(9061(a,1),7938(a,1)),flip(a)]. 9063 (K(x \ 1,y) \ z) * K(z / K(x \ 1,y),x) = T(K(x \ 1,y) \ z,x). [para(3017(a,1),8840(a,2,2))]. 9064 T(x * y,y) / (T(x * y,y) / x) = x * K(y,T(x,x * y)). [para(8857(a,1),5100(a,2,2))]. 9065 K(T(x,y * z),z) = K(T(x,z * y),z). [para(8883(a,1),8781(a,1)),flip(a)]. 9066 K(R(T(x,y * z),u,w),z) = K(T(R(x,u,w),z * y),z). [para(42(a,2),9065(a,1,1))]. 9067 K(T(x / (x / y),z),u * K(R(u,w,v5) * x,u)) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [para(7155(a,1),8930(a,2,2))]. 9068 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(5200(a,2),8933(a,1,1))]. 9069 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [para(9068(a,2),59(a,1,1))]. 9070 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(5331(a,1),9069(a,2,2))]. 9071 ((x * y) * z) / (((x * y) * K(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(8939(a,2),6959(a,1,2,1))]. 9072 (x * y) * T(K(y,z),x) = K(y,z) * (x * y). [para(7973(a,1),8939(a,1,2))]. 9073 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(8940(a,2),6409(a,1))]. 9074 K(x,K(y,z)) * (T(y,u) * x) = T(y,u) * T(x,K(y,z)). [para(3100(a,1),9073(a,1,1,2))]. 9075 T(x,T(y,z)) * T(z,x) = z * T(x,y). [para(9073(a,1),5507(a,1)),flip(a)]. 9076 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(7483(a,1),9073(a,1,1))]. 9077 T(K(x,y),z) * (z * x) = z * T(x,y). [para(7973(a,1),9073(a,1,1))]. 9078 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(74,a,9075,a)]. 9079 T(x,T(y,x \ y)) = T(x,y). [hyper(18,a,3952,a,b,9075,a)]. 9081 T(x,T(x * y,y)) = T(x,x * y). [para(13(a,1),9079(a,1,2,2))]. 9082 T(x / y,T(x,y)) = T(x / y,x). [para(59(a,1),9079(a,1,2,2))]. 9083 T(x \ y,T(y,x)) = T(x \ y,y). [para(3946(a,1),9079(a,1,2))]. 9084 T(x * K(y,x),T(y * x,y)) = T((y * x) / y,y * x). [para(5172(a,1),9082(a,1,1))]. 9085 R(x \ y,z,u) \ R(T(x \ y,y),z,u) = K(R(x \ y,z,u),T(y,x)). [para(9083(a,1),5202(a,1,2,1))]. 9086 K(((x * y) \ (z * y)) \ 1,T(x,z)) = (x * y) \ ((z * T(z \ x,x)) * y). [para(9083(a,1),5794(a,1,2,1,2)),flip(a)]. 9087 T(x,K(y,z)) * T(y,z) = K(y,z) * (x * y). [para(9077(a,1),4708(a,1))]. 9088 ((x / y) * T(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(106(a,1),9078(a,1,2))]. 9089 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [para(105(a,1),9078(a,1,1,2))]. 9090 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1247(a,1),9078(a,1,1,2))]. 9091 T(x,T(T(x,y) * z,u)) = (u * T(x,x * z)) / T(u,x). [para(7400(a,1),9078(a,1,1,2)),flip(a)]. 9092 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(8583(a,1),9078(a,1,1,2)),flip(a)]. 9093 K(x,K(y,T(y \ z,u))) = K(x,K(z,T(y,u))). [para(8955(a,2),8954(a,1))]. 9094 K(x,K(y,T(z,u / x))) = K(x,K(z,T(y,u))). [para(8957(a,2),8435(a,1))]. 9095 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [para(8967(a,1),7667(a,1))]. 9096 K((x \ 1) * y,T(z,y)) = K((x \ 1) * y,T(z,x)). [para(2935(a,1),8968(a,1,2)),flip(a)]. 9097 x * T(T(y,z),T(x,z)) = T(y,T(z,x)) * x. [para(8783(a,2),8972(a,1,2))]. 9098 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(8974(a,1),7398(a,1))]. 9099 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(106(a,1),9098(a,1,2,2)),flip(a)]. 9101 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(8980(a,1),6413(a,1,2))]. 9103 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(5217(a,1),9001(a,1,1)),flip(a)]. 9104 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(5221(a,1),9001(a,1,1)),flip(a)]. 9105 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(287,a,9103,a)]. 9106 T(x,L(y,z,y)) = T(x,y). [hyper(267,a,9103,a),flip(a)]. 9114 T(x,L(y,z,y)) = x * K(x,y). [para(9106(a,2),5200(a,1))]. 9115 T(x,R(y,z,y)) = T(x,y). [para(6370(a,1),9106(a,1,2)),flip(a)]. 9117 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(9115(a,1),104(a,1,2))]. 9118 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4514(a,1),9115(a,1,2))]. 9119 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4776(a,1),9115(a,1,2))]. 9120 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(8677(a,1),9115(a,1,2))]. 9121 K(x,L(y,z,y)) = K(x,y). [hyper(5247,a,9114,a)]. 9122 K(x * y,L(x,y,x)) * (L(x,y,x) / (x * y)) = (x / (R(x,y,x) * y)) * K(x * y,x). [para(9121(a,1),7888(a,2,2))]. 9123 T(x,T(y / z,y)) = T(x,z \ y). [para(196(a,1),9118(a,1,2)),flip(a)]. 9124 T(x,T(y,z \ 1)) = T(x,T(y,z \ y)). [para(4240(a,1),9118(a,1,2))]. 9125 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [para(9120(a,1),106(a,1))]. 9126 T(1 / (x \ (x / y)),x / y) = T(1 / (x \ (x / y)),y \ x). [para(9123(a,1),4599(a,1)),flip(a)]. 9127 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(9105(a,1),104(a,1,2)),flip(a)]. 9128 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(106(a,1),9117(a,1,2))]. 9130 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(9117(a,1),8316(a,1,1)),flip(a)]. 9131 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [para(9119(a,1),5942(a,1))]. 9132 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(7875(a,2),9012(a,1,1))]. 9133 K(x,K(y \ z,T(y,u))) = K(y,K(x,T(z,u))). [para(9025(a,2),8825(a,1))]. 9134 K(x / y,T(z,x \ y)) = K(x / y,z). [para(9059(a,2),8756(a,1))]. 9135 T(K(x,y),z * x) = T(K(x,y),z). [hyper(131,a,9072,a)]. 9136 T(K(x,y),T(y,z) * x) = K(x,y). [para(9135(a,2),3182(a,1))]. 9137 T(K(x,y),x \ z) = T(K(x,y),z). [para(9135(a,1),7502(a,1))]. 9138 T(K(x,y),T(y,z) * T(x,u)) = K(x,y). [para(9136(a,1),8251(a,2))]. 9139 T(K(x,y \ (x \ z)),z) = T(K(x,y \ (x \ z)),y). [para(9137(a,1),8612(a,1))]. 9140 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(9137(a,1),9077(a,1,1))]. 9141 T(K(x,y),T(x,z) * T(y,u)) = 1 / K(y,x). [para(9138(a,1),7735(a,1,2)),flip(a)]. 9142 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [para(8642(a,1),9087(a,1,1)),flip(a)]. 9143 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [para(9094(a,1),7520(a,1))]. 9144 T(x * K(y,x),T(y,z)) * z = z * T(x,T(z,y)). [para(5171(a,1),9097(a,1,2,1)),flip(a)]. 9145 (x / y) \ (L(y,z,y) * (y \ x)) = L(y,z,y). [hyper(68,a,9104,a(flip))]. 9146 (x / R(y,z,y)) * L(R(y,z,y),z,R(y,z,y)) = y * (R(y,z,y) \ x). [para(6370(a,1),9104(a,1,1)),flip(a)]. 9147 ((x / L(T(y,z),u,T(y,z))) * K(y,z)) * y = T(y,z) * (L(T(y,z),u,T(y,z)) \ x). [para(9127(a,1),6403(a,2))]. 9148 (R(x,y,x) * (x \ z)) \ (z * R(x,y,x)) = x. [para(9128(a,2),1287(a,1,1))]. 9149 R(x,x \ y,x) * (x \ z) = (z / x) * ((x \ y) \ T(y,x)). [para(4447(a,1),9128(a,2,2))]. 9150 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(9128(a,1),4663(a,1,2))]. 9151 T(K(x,y),T(x,z) * T(y,u)) = K(x,y). [para(9141(a,2),5344(a,1))]. 9152 (T(x,y) * T(z,u)) * K(x,z) = K(x,z) * (T(x,y) * T(z,u)). [para(9151(a,1),104(a,1,2))]. 9154 (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). [para(8772(a,1),262(a,1,1))]. 9155 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = T(x,y) \ (T(x,y) * K(z,x)). [para(9154(a,1),2877(a,2,2))]. 9156 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7079(a,1),8796(a,1,1,1))]. 9157 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(8878(a,2),8780(a,1))]. 9158 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(106(a,1),9157(a,1,2,2)),flip(a)]. 9159 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(242(a,1),9157(a,1,2,2,2))]. 9160 K(x,T(y,R(x \ z,x,x \ u))) = K(x,T(y,(z * (x \ u)) / u)). [para(506(a,1),9159(a,1,2,2))]. 9161 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [para(9036(a,1),8747(a,1))]. 9163 T(K(x,y),T(z,T(y,u))) = T(K(x,y),z). [para(8536(a,2),8425(a,1))]. 9164 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(103(a,1),9163(a,1,2,2))]. 9165 T(K(x,y),z / y) = T(K(x,y),y \ z). [para(3929(a,1),9163(a,1,2)),flip(a)]. 9166 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [para(9164(a,1),9118(a,1)),flip(a)]. 9167 T(K(x,y),y \ z) * (z / y) = (z / y) * K(x,y). [para(9165(a,1),8542(a,1,1))]. 9168 T(x,K(y,z)) * K(x \ y,x) = x * T(K(x \ y,x),z). [para(8539(a,1),5512(a,1,2)),flip(a)]. 9169 ((1 / x) * (K(y,z) * x)) * x = x * L(K(y,z),x,x \ 1). [para(2639(a,1),8543(a,1,1))]. 9170 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(42(a,1),8544(a,1,1))]. 9171 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [para(8549(a,1),4404(a,1)),flip(a)]. 9172 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [para(5171(a,1),9171(a,1,1)),flip(a)]. 9173 (K(x,T(y,z * u)) * z) * u = (z * u) * R(K(x,y),z,u). [para(8554(a,1),100(a,1)),flip(a)]. 9174 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(8583(a,1),8554(a,1,1,1,2))]. 9175 T((x \ y) * x,z * K(u,y)) = T((x \ y) * x,z). [para(8602(a,2),4977(a,2)),flip(a)]. 9176 T(x,K(y,z * T(x,u))) = K(y,K(z,x)) * x. [para(8497(a,1),8623(a,2,1))]. 9177 T(x,K(y,z * T(x,u))) = T(x,K(y,z)). [para(9176(a,2),8459(a,1))]. 9178 T(x,K(y,x * z)) = T(x,K(y,z)). [para(104(a,1),9177(a,1,2,2))]. 9179 T(x,K(y,x * z)) = T(x,K(z,y)). [para(9178(a,2),8502(a,1))]. 9180 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(9179(a,1),38(a,1,1)),flip(a)]. 9181 T(x,K(y,z * x)) = T(x,K(z,y)). [para(9179(a,1),8691(a,2))]. 9182 K(x * y,T(y,K(x,z))) = K(x * y,y). [para(9181(a,1),7972(a,1,2))]. 9183 T(x,K(y * x,z)) = T(x,K(y,z)). [para(9181(a,1),8502(a,1)),flip(a)]. 9184 K(x * R(y,z,u),R(T(y,K(x,w)),z,u)) = K(x * R(y,z,u),R(y,z,u)). [para(42(a,2),9182(a,1,2))]. 9185 K(x,y) * K(y,x * y) = y \ L(y,x,y). [para(8666(a,1),5646(a,1))]. 9186 T(x,K(y,z \ x)) / z = T(x / z,K(x,y)). [para(5200(a,2),8686(a,1,1))]. 9187 (K(x,y) * K(z,K(x,u \ 1))) / u = T(K(x,y) / u,K(z,x)). [para(8083(a,1),8686(a,1,1,2,2))]. 9188 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(T(y,x),x,z)). [para(8693(a,1),7165(a,2))]. 9189 K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). [para(7960(a,1),8696(a,1,1)),flip(a)]. 9190 K((x \ y) \ K(x \ y,z),u) = K(y \ x,T(u,z)). [para(8716(a,2),7973(a,2)),flip(a)]. 9191 K(x,y * (z * (u * K(x,w)))) = K(x,y * (z * u)). [para(7770(a,1),8724(a,1,2,2,2)),flip(a)]. 9192 T(x * K(y,z),K(u,z)) = T(x,K(u,z)) * K(y,z). [hyper(6313,a,8731,a),flip(a)]. 9193 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [para(8732(a,1),2114(a,1)),flip(a)]. 9194 K(x,y) * (y * x) = (x * y) * K((z * u) \ (u * z),z * u). [para(26(a,1),8733(a,2,2,1))]. 9195 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [para(8735(a,2),8736(a,1))]. 9196 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(7768(a,1),9195(a,1,2))]. 9198 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [para(8770(a,1),8773(a,1))]. 9199 T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). [para(9198(a,1),7967(a,1,2))]. 9200 T(K(T(x,y \ 1),(1 / y) \ 1),z) = K(x,K(1 / y,z) / (1 / y)). [para(8771(a,1),8700(a,2))]. 9201 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [para(8778(a,1),8930(a,1))]. 9202 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(13(a,1),9201(a,1,2,2)),flip(a)]. 9203 (K(x,y) * T(y,z)) \ 1 = T(y,z) \ K(y,x). [para(8787(a,1),8788(a,1,1))]. 9204 T(x,x * y) \ K(x,y) = L(x,y,x) \ 1. [para(5509(a,1),9203(a,1,1)),flip(a)]. 9205 (x * K(y,z)) * u != x * (K(y,w) * T(y,z)) | T(y,w) = u. [para(8804(a,1),19(a,1)),flip(a)]. 9206 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4462(a,1),8826(a,1,2,2,2))]. 9208 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [para(8838(a,2),8175(a,2))]. 9209 K(x / ((y \ 1) * z),L(z,y \ 1,y) / (L(z,y \ 1,y) / y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(360(a,1),8839(a,1,1,2))]. 9210 K((x / y) \ 1,x * K(z,u)) = K(x \ y,K(z,u) * x). [para(8844(a,1),5830(a,2))]. 9211 K(L(x,y,z),u / x) = K(L(x,y,z),x \ u). [para(103(a,1),8849(a,1,1,1)),flip(a)]. 9212 K(L(x,y,z),u / K(x,w)) = K(L(x,y,z),K(x,w) \ u). [para(3086(a,1),8849(a,1,1,1)),flip(a)]. 9213 K(R(x,y,z),T(u * w,w) / T(u,w)) = K(R(T(x,T(u,w)),y,z),R(w,u,w)). [para(4585(a,1),8850(a,1,2)),flip(a)]. 9214 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [para(8858(a,1),6446(a,1)),flip(a)]. 9215 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(5452,a,9214,a)]. 9216 K(x \ y,x) * T(y / x,z) = T(x \ y,T(z,x)). [para(14(a,1),9215(a,1,2,1,1))]. 9217 K(x / y,z) * ((z * (y \ x)) / z) = T(x / y,T(y,z)). [para(444(a,1),9215(a,1,2))]. 9218 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(5172(a,1),9215(a,1,2,1))]. 9219 T(x,T(y \ T(z,y),u)) = K(x,u) * T(x * K(u,x),T(y,z) \ z). [para(4628(a,1),9218(a,2,2)),flip(a)]. 9220 T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). [para(8055(a,1),9218(a,1,2)),flip(a)]. 9221 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(8865(a,1),5200(a,2,2))]. 9222 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = K(x,T(z,y)). [para(8870(a,1),6747(a,2))]. 9223 (K(x,y) / x) * T((y * x) / y,z) = K(x,T(z,y)). [para(5172(a,2),8872(a,1,2,1))]. 9224 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(8881(a,1),5157(a,2,2))]. 9225 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [para(8886(a,1),5011(a,2))]. 9226 K(x,K(y,T(z,u))) * K(x,z) = K(x,T(z,T(y,u))). [para(8958(a,2),7973(a,2)),flip(a)]. 9227 K(x,y) * K(y,T(L(y,z,u) * x,x)) = y \ L(y,x,L(y,z,u)). [para(5384(a,1),8963(a,1,2)),flip(a)]. 9228 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4867(a,1),8975(a,1,1))]. 9229 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(7153,a,8985,a)]. 9230 (x * y) * z != x * (y * K(T(x,u),w)) | K(T(x,u),w) = z. [para(8999(a,1),19(a,1)),flip(a)]. 9231 (T(x,y) \ z) * K(x,y) = T(z / x,T(x,y)). [para(9006(a,1),6453(a,1))]. 9232 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(9231(a,1),7468(a,1))]. 9233 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(68,a,9010,a)]. 9234 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [para(9030(a,1),5197(a,2)),flip(a)]. 9235 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [para(9234(a,1),8058(a,2))]. 9236 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [para(9235(a,1),8719(a,1)),flip(a)]. 9238 L(T(x,y),z,x) / T(x,y) = x \ L(x,z,x). [para(5200(a,2),9031(a,1,2))]. 9239 (x \ L(x,y,x)) \ L(T(x,z),y,x) = T(x,z). [para(9238(a,1),59(a,1,1))]. 9240 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y),u,w),z). [para(42(a,2),9050(a,2,1))]. 9241 x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). [para(9056(a,1),7863(a,1,2,2))]. 9242 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(9076(a,2),3416(a,2)),flip(a)]. 9243 (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(6410(a,1),9088(a,1,1))]. 9244 T(x,T(y,z / x)) = T(x,T(y,z)). [para(9243(a,1),8581(a,1))]. 9245 T(x,T(y,z * x)) = T(x,T(y,z)). [para(15(a,1),9244(a,1,2,2)),flip(a)]. 9246 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(57(a,1),9244(a,1,2,2)),flip(a)]. 9247 T(x,T(y,x \ z)) = T(x,T(y,z)). [para(9244(a,1),9099(a,1)),flip(a)]. 9248 T(x,T(y / (z * x),z)) = T(x,(z * x) \ y). [para(106(a,1),9245(a,1,2)),flip(a)]. 9249 T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). [para(574(a,1),9245(a,1,2)),flip(a)]. 9250 T(x,T(y / (x \ z),z)) = T(x,(x \ z) \ y). [para(106(a,1),9247(a,1,2)),flip(a)]. 9251 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(8055(a,1),9247(a,1,2))]. 9252 K(x \ y,T(x,T(z,y))) = K(x \ y,T(x,z)). [para(9247(a,1),9159(a,1,2))]. 9253 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(9246(a,1),9159(a,1,2))]. 9254 T(x,(y * x) \ z) = T(x,y \ (z / x)). [para(9248(a,1),7512(a,1))]. 9255 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [para(9254(a,2),7418(a,1))]. 9256 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(91(a,2),9255(a,1,2))]. 9257 K(x \ y,T(x,z * K(y,z))) = K(x \ y,T(x,z)). [para(5171(a,1),9252(a,1,2,2)),flip(a)]. 9258 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(106(a,1),9253(a,1,2,2)),flip(a)]. 9259 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(9089(a,1),6436(a,1,1,1))]. 9260 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [para(9092(a,2),9078(a,1))]. 9261 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(7803(a,1),9260(a,1,2,1)),flip(a)]. 9262 K((x \ 1) * y,T(T(z,y),x)) = K((x \ 1) * y,z). [para(9096(a,1),8560(a,1))]. 9263 T(x * K(y,x),T(y,z)) = T(x * K(z,x),T(z,y)). [hyper(18,a,5233,a,b,9144,a)]. 9264 T(R(K(x,y),z,u),w) * w = R(K(x,y),z,u) * T(w,R(K(x,y),z,u)). [para(9170(a,2),104(a,2)),flip(a)]. 9265 T((x \ y) * x,z \ T(u,y)) = T((x \ y) * x,z \ u). [para(5791(a,1),9175(a,1,2))]. 9266 K(x,y * (z * (K(x,u) * w))) = K(x,y * (z * w)). [para(7967(a,1),9191(a,1,2,2,2))]. 9267 K(x \ y,T(x \ y,T(z,x)) * u) = K(x \ y,T(y / x,z) * u). [para(9216(a,1),7626(a,1,2,1))]. 9268 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(5247,a,9225,a)]. 9269 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(5812(a,1),9268(a,1,2,1)),flip(a)]. 9270 K(x,K(y,T(z / y,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). [para(9232(a,1),9226(a,2,2))]. 9271 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [para(9261(a,1),7513(a,2))]. 9272 x * T(y * K(z,y),T(z,x)) = T(x,y) * T(y,T(x,z)). [para(9263(a,1),8010(a,1,2))]. 9273 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(y,x),T(y,z)). [para(9263(a,1),9118(a,1))]. 9274 K(x,y * (z * (K(u,x) * w))) = K(x,y * (z * w)). [para(5352(a,1),9266(a,1,2,2,2)),flip(a)]. 9275 K(L(x,y,z),K(u,x \ u)) = 1. [para(8453(a,2),49(a,1))]. 9277 K(x,K(L(y,z,u),y \ x)) = 1. [para(9275(a,1),8435(a,1)),flip(a)]. 9278 R(K(x,y \ R(x,z,u)),R(x,z,u),y \ 1) = K(x,R(x,z,u) * (y \ 1)). [para(3117(a,1),8611(a,1,1))]. 9279 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(8617(a,1),6826(a,1)),flip(a)]. 9280 T(T(x,y) * z,T(x,y)) = z * R(T(x,y),z,x). [para(9279(a,1),4446(a,1,2)),flip(a)]. 9281 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(5171(a,1),9279(a,1,1)),flip(a)]. 9282 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(9279(a,1),7473(a,1,2))]. 9283 T(x,R(T(y,z),u,y)) = T(x,T(y,z)). [para(9279(a,1),9115(a,1,2))]. 9285 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(42(a,1),9282(a,1,2))]. 9286 T(x,T(R(y,z,y),u)) = T(x,T(y,u)). [para(42(a,1),9283(a,1,2))]. 9287 K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). [para(4491(a,1),9285(a,1,2,1)),flip(a)]. 9288 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). [para(8677(a,1),9285(a,1,2,1))]. 9289 T(x / R(y,z,y),T(y,x)) = R(y,z,y) \ x. [para(9286(a,1),3929(a,1))]. 9290 T(x,T(T(y,y * z),u)) = T(x,T(T(y,z),u)). [para(4491(a,1),9286(a,1,2,1)),flip(a)]. 9291 K(x,T(T(y,z),u * y)) = K(x,T(T(y,u),z)). [para(4467(a,1),9287(a,1,2))]. 9292 T(x,y) \ ((x * y) / R(x,z,x)) = R(x,z,x) \ y. [para(9289(a,1),1924(a,2))]. 9293 T(x,T(T(y,z),u * y)) = T(x,T(T(y,u),z)). [para(4467(a,1),9290(a,1,2))]. 9294 K(x,T(T(y,z),u * y)) = K(x,T(T(y,z),u)). [para(38(a,1),9291(a,2,2))]. 9295 K(x * y,T(T(x,y),z)) = K(x * y,T(x,z)). [para(9291(a,1),7976(a,1))]. 9296 K(x,T(T(y,z),u \ 1)) = K(x,T(T(y,z),u \ y)). [para(4515(a,1),9294(a,1,2)),flip(a)]. 9297 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(x,y)). [para(9295(a,1),6152(a,2))]. 9298 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(y,x) * R(T(T(x,y),z),y,x). [para(6131(a,1),9280(a,2,2))]. 9299 T(x,y) * (R(x,z,x) \ y) = (x * y) / R(x,z,x). [para(9292(a,1),14(a,1,2))]. 9300 K(T(x / (y * z),y),z) = K((y * z) \ x,z). [para(9045(a,1),9121(a,1))]. 9301 K((x * y) \ z,y) = K(x \ (z / y),y). [para(9300(a,1),7479(a,1))]. 9303 K((x * y) \ z,y) = K(x \ (y \ z),y). [para(9301(a,2),7934(a,1))]. 9304 K(L(x \ y,x,z / y),x) = K((z / y) \ (x \ z),x). [para(318(a,2),9303(a,1,1))]. 9305 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(9303(a,1),5777(a,1,1,1,2))]. 9306 (x * y) * T((x * y) \ z,y) = z * K(x \ (y \ z),y). [para(9303(a,1),6437(a,2,2))]. 9307 (x * K(y \ (z \ u),z)) \ x = K(z,(y * z) \ u). [para(9303(a,1),7769(a,1,1,2))]. 9308 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [para(9307(a,1),5351(a,1))]. 9309 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(91(a,2),9308(a,1,2))]. 9310 K(x,K(y,y \ x) \ (x \ z)) = K(x,(y * (x / y)) \ z). [para(5227(a,1),9308(a,1,2,1)),flip(a)]. 9311 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(4249(a,1),9309(a,2,2,2,2))]. 9312 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,(z / (z / y)) \ (x \ ((y \ z) * y))). [para(4348(a,1),9309(a,2,2,2,2))]. 9313 K(x,y \ (x \ (y * ((x \ 1) \ z)))) = K(x,L(z,x,y)). [para(9309(a,1),7289(a,1))]. 9314 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,((x / y) \ (x * z)) / x). [para(9309(a,2),8905(a,1))]. 9315 T(K(x,L(x \ y,x,z)),z) = T(K(x,z \ (x \ (z * y))),z * y). [para(9309(a,2),9139(a,2,1)),flip(a)]. 9316 R(x \ R(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). [para(3853(a,1),9130(a,1,1))]. 9317 R(T(x,y),z,x) / T(T(x,y),z) = K(x * z,T(x,y)). [para(38(a,1),9297(a,1,2))]. 9318 K(x * y,T(T(y,z),x)) = K(y * x,T(y,z)). [para(9317(a,1),6272(a,1)),flip(a)]. 9319 K(x * y,T(T(y,x),z)) = K(y * x,T(y,z)). [para(38(a,1),9318(a,1,2))]. 9320 K(x * (y / (y / z)),T(T(y / (y / z),x),z \ y)) = K((y / (y / z)) * x,z). [para(4329(a,1),9319(a,2,2))]. 9321 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5958(a,1),8427(a,1,1)),flip(a)]. 9322 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(6332(a,1),8428(a,1,1)),flip(a)]. 9323 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [para(16(a,1),8470(a,1,2,1))]. 9324 T(x,K(y,(z \ 1) \ x)) = z \ T(z * x,K(x,y)). [para(8470(a,2),5200(a,2))]. 9325 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5958(a,1),8480(a,1,2)),flip(a)]. 9326 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [para(9325(a,1),9321(a,2))]. 9327 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(8435(a,1),9326(a,1,1))]. 9328 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(4226(a,1),9327(a,2,2))]. 9329 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(6942(a,1),9327(a,2,2))]. 9330 K(L(K(x,y),z,u),w) = K(y,L(K(x,w),z,u)). [para(6332(a,1),8481(a,1,2)),flip(a)]. 9331 K(x,L(K(y,z),u,w) \ 1) = K(x,L(K(y,z),u,w)). [para(6337(a,1),8489(a,1,2))]. 9332 T(x * (y \ z),K(y,z)) = T(x,K(y,z)) * (y \ z). [para(8640(a,1),8638(a,1)),flip(a)]. 9333 T(x * (y \ z),K(z,y)) = T(x,K(y,z)) * (y \ z). [para(9332(a,1),8502(a,1)),flip(a)]. 9334 T(x * (y \ z),K(z,y)) = T(x,K(z,y)) * (y \ z). [para(8502(a,1),9333(a,2,1))]. 9335 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(x,y)) * (x \ y). [para(8641(a,1),7430(a,1,1)),flip(a)]. 9336 T(K(x,y) * z,T(y,u)) = K(x,y) * T(z,T(y,u)). [para(8651(a,1),6409(a,1))]. 9338 K(T(K(x,y) * z,T(y,u)) \ 1,w) = K(T(z,T(y,u)) \ K(y,x),w). [para(9336(a,2),6493(a,1,1,1))]. 9339 K(T(x,y) \ K(z,x),T(x,y)) = K(x \ 1,x). [para(8654(a,2),3143(a,1))]. 9340 (T(x,y) \ K(z,x)) * T(x,y) = K(z,x) * K(x \ 1,x). [para(9339(a,1),185(a,1,2)),flip(a)]. 9343 (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(7444(a,1),8670(a,2,2))]. 9344 (x * (K(y,z) * u)) * K(z,K(u,y)) = x * (u * K(y,z)). [para(8449(a,1),8670(a,1,2))]. 9345 (x * (K(y,z) * u)) * K(y,K(z,u)) = x * (u * K(y,z)). [para(8449(a,2),8670(a,1,2))]. 9346 (x \ y) * T(K(z,x),y) = K(z,x) * (x \ y). [para(8682(a,1),8455(a,1)),flip(a)]. 9347 T(K(x,y),y \ z) = T(K(x,y),z). [hyper(131,a,9346,a)]. 9348 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(9347(a,1),9167(a,1,1))]. 9349 T(K(x,y),z) * (z / y) = z / T(y,x). [para(9348(a,2),7804(a,1))]. 9350 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(7973(a,2),9349(a,1,1))]. 9351 T(x,K(y,z)) * K(y,z * x) = K(y,z * x) * x. [para(9178(a,1),8692(a,1,1))]. 9352 K(x,T(y,z) \ K(z,u)) = T(K(x,y \ K(z,u)),z). [para(8705(a,1),7331(a,1)),flip(a)]. 9353 K(x,K(y,z)) * (T(y,u) * x) = T(T(y,u) * x,K(y,z)). [para(8449(a,1),8710(a,1,1))]. 9354 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(8828(a,2),9156(a,1))]. 9355 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [para(8847(a,1),8797(a,1)),flip(a)]. 9356 K(x / (y * K(z,u)),z) = K(x / y,z). [para(9355(a,1),8756(a,1))]. 9358 K(x / (y * z),z) = K(x / (z * y),z). [para(82(a,1),9356(a,1,1,2)),flip(a)]. 9359 K(x / (y * T(z,u)),u) = K(x / (y * z),u). [para(7805(a,1),9356(a,1,1,2)),flip(a)]. 9360 K(x / (K(y,z) * u),y) = K(x / u,y). [para(7967(a,1),9356(a,1,1,2))]. 9361 K(x / (y * z),y) * (K(y,x / (z * y)) * u) = u. [para(9358(a,1),5352(a,1,1))]. 9362 K(x / (K(y,z) * u),z) = K(x / u,z). [para(5352(a,1),9360(a,1,1,2)),flip(a)]. 9363 R(K((x / y) / z,u),x / y,y) = K(x / ((K(u,w) * z) * y),u). [para(9360(a,1),7097(a,1,1))]. 9364 T(x,y / (K(z,x) * u)) = 1 / (x \ K(y / u,x)). [para(9362(a,1),5197(a,2,2,2))]. 9365 K(x / ((T(y,z) \ 1) * z),y) = K(x / ((y \ 1) * z),y). [para(6419(a,2),9359(a,1,1,2))]. 9366 K(x,y / (z * x)) = K(x,y / (x * z)). [hyper(7637,a,9361,a)]. 9367 K(x,y / ((x \ z) * x)) = K(x,y / z). [para(14(a,1),9366(a,2,2,2))]. 9368 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(101(a,2),9366(a,2,2)),flip(a)]. 9369 K(x,y / (((x \ 1) * z) * x)) = K(x,y / L(z,x \ 1,x)). [para(153(a,1),9366(a,2,2,2))]. 9370 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [para(9366(a,2),7072(a,1))]. 9371 T(x,y / ((x \ z) * x)) = x * K(x,y / z). [para(9367(a,1),5200(a,2,2))]. 9372 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(16(a,1),9370(a,1,2,2,1)),flip(a)]. 9373 K(x,R(1 / y,y,z) \ (x \ 1)) = K(x,(z * y) / (T(z,y) * x)). [para(6698(a,2),9370(a,1,2,2,1)),flip(a)]. 9374 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(6712(a,1),9370(a,1,2,2,1))]. 9375 T(x,y / ((x \ z) * x)) = T(x,y / z). [para(9371(a,2),5200(a,2)),flip(a)]. 9376 T(x,y / (z * x)) = T(x,y / (x * z)). [para(13(a,1),9375(a,1,2,2,1))]. 9377 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(z / y) \ x). [para(9372(a,1),7226(a,1))]. 9378 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [para(9368(a,1),5341(a,1)),flip(a)]. 9379 K(x,R(x \ y,x,T(z,y))) = K(x,(z * y) / (T(z,y) * x)). [para(104(a,1),9378(a,2,2,1))]. 9380 T(x,y / (K(z,x) * u)) = T(x,y / u). [para(9364(a,2),5197(a,2)),flip(a)]. 9381 T(x,((y * K(z,x)) * u) / u) = T(x,R(y,K(z,x),u)). [para(30(a,2),9380(a,1,2)),flip(a)]. 9382 T(x,R(y,K(z,x),u)) = T(x,y * K(z,x)). [para(15(a,1),9381(a,1,2)),flip(a)]. 9384 T(x,R(y,K(z,x),u)) = T(x,y). [para(9382(a,2),8590(a,1))]. 9385 K(x,R(y,K(z,x),u)) = x \ T(x,y). [para(9384(a,1),5169(a,2,2))]. 9387 K(x,R(y,K(z,x),u)) = K(x,y). [para(9385(a,2),5169(a,2)),flip(a)]. 9388 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(46(a,1),9387(a,1,2))]. 9389 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(R(y,K(z,x),u),K(z,x) * u,w)). [para(9387(a,1),6972(a,1,1))]. 9390 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [para(8852(a,2),7640(a,1))]. 9392 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [para(8856(a,1),8798(a,1)),flip(a)]. 9393 K(x,y / (z * K(u,x))) = K(x,y / z). [para(9392(a,1),8757(a,1))]. 9395 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(950(a,1),9393(a,1,2,2))]. 9396 K(x,y / (z * T(K(u,x),w))) = K(x,y / z). [para(1859(a,1),9393(a,1,2,2,2))]. 9397 K(x,y / K(z,z \ K(u,x))) = K(x,y / (z * (K(u,x) / z))). [para(5227(a,1),9393(a,1,2,2)),flip(a)]. 9398 K(x,y / (K(x,z) * u)) = K(x,y / u). [para(8741(a,1),9396(a,1,2,2)),flip(a)]. 9399 K(x,((y * K(x,z)) * u) / u) = K(x,R(y,K(x,z),u)). [para(30(a,2),9398(a,1,2)),flip(a)]. 9400 K(x \ y,z / ((y / x) * u)) = K(x \ y,z / ((x \ y) * u)). [para(5821(a,1),9398(a,1,2,2)),flip(a)]. 9401 K(x,R(y,K(x,z),u)) = K(x,y * K(x,z)). [para(15(a,1),9399(a,1,2)),flip(a)]. 9403 K(x,R(y,K(x,z),u)) = K(x,y). [para(9401(a,2),8585(a,1))]. 9404 K(x,R(R(y,K(x,z),u),w,v5)) = K(x,R(y,w,v5)). [para(46(a,1),9403(a,1,2))]. 9406 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(5172(a,1),8866(a,1,1,1,2))]. 9407 K(x,T(T(y,z) \ 1,u)) = T(K(x,T(y \ 1,u)),z). [para(8780(a,1),8876(a,1,1)),flip(a)]. 9408 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [para(8882(a,1),8880(a,1))]. 9409 K(T((x \ 1) \ 1,T(y,x)),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(6419(a,2),8896(a,1,2,2))]. 9410 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [para(8944(a,1),8415(a,1))]. 9411 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(13(a,1),9410(a,1,2,2)),flip(a)]. 9413 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(7153,a,8986,a)]. 9414 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = K(w,x). [para(8986(a,1),7769(a,1,1))]. 9415 K(x,y) * (L(y,z,u) * (w * K(y,x))) = T(L(y,z,u) * w,K(x,y)). [para(8986(a,1),8504(a,1,2))]. 9416 K(L(x,y,L(x,z,u)),w) = K(x,w). [para(9413(a,1),7048(a,1)),flip(a)]. 9417 L(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(7153,a,8987,a)]. 9418 ((x / y) * R(y,z,y)) * K(y,u) = R(y,z,y) * ((y \ x) * K(y,u)). [para(9128(a,1),8987(a,1,1))]. 9419 K(L(x,y,R(x,z,u)),w) = K(x,w). [para(9417(a,1),7048(a,1)),flip(a)]. 9420 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(8747(a,1),9035(a,1,1)),flip(a)]. 9421 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(118(a,1),9420(a,1,1,2)),flip(a)]. 9422 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(159(a,1),9420(a,1,1,2))]. 9423 L(K(x,y),T(z,x),u) = L(K(x,y),z,u). [para(9420(a,1),7051(a,1)),flip(a)]. 9425 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(5150(a,2),9421(a,1,2)),flip(a)]. 9426 L(K(x,y),y,z) = K(x,y). [para(9423(a,1),7818(a,1))]. 9428 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(9426(a,1),45(a,1,1)),flip(a)]. 9429 (x * y) * K(z,y) = x * (y * K(z,y)). [para(9426(a,1),89(a,1,2))]. 9430 (x / y) * (y * K(z,y)) = x * K(z,y). [para(9426(a,1),305(a,1,2)),flip(a)]. 9433 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [para(9426(a,2),6522(a,2)),flip(a)]. 9434 K(L(x,y,z),y * x) = K(x,y * x). [para(9426(a,1),7048(a,1)),flip(a)]. 9435 K(L(x \ y,x,z),y) = K(x \ y,y). [para(9426(a,1),7049(a,1)),flip(a)]. 9436 K((x \ y) \ z,z) = K(y \ (x * z),z). [para(9426(a,1),7056(a,1))]. 9437 K(L(x,y,z),x * y) = K(x,x * y). [para(9426(a,1),9421(a,1)),flip(a)]. 9439 K(L(x,y,z),y * x) = K(x,x * y). [para(9434(a,2),5709(a,1))]. 9441 K(L(x \ y,T(x,z),z),y) = K(x \ y,y). [para(6146(a,1),9435(a,1,1))]. 9442 R(x,y,K(z,y)) = x. [hyper(329,a,9429,a)]. 9444 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(9429(a,1),6403(a,1,1))]. 9445 (x * K(y,z)) * z = x * (z * K(y,z)). [para(9429(a,1),7843(a,2))]. 9446 K(x,y) * (z * (x * K(y,x))) = T(z * x,K(x,y)). [para(9429(a,1),8504(a,1,2))]. 9449 R(x,T(y,z),K(u,y)) = x. [para(8747(a,1),9442(a,1,3))]. 9450 R(x,y,K(z,T(y,u))) = x. [para(8800(a,1),9442(a,1,3))]. 9451 (x * K(y,z)) / T(y,u) = x / (T(y,u) * K(z,y)). [para(9449(a,1),7773(a,1))]. 9452 (x * y) * K(z,T(y,u)) = x * (y * K(z,T(y,u))). [para(9450(a,1),100(a,1,1)),flip(a)]. 9453 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [para(9430(a,1),7128(a,1,1))]. 9455 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(6409(a,1),9445(a,1,1)),flip(a)]. 9456 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [para(9445(a,1),6504(a,1,1))]. 9457 L(T(x,K(y,x)),K(y,x),z) = x. [para(9453(a,1),139(a,1)),flip(a)]. 9458 L(x,K(y,x),z) = x. [para(3158(a,1),9457(a,1,1))]. 9459 L(R(x,y,z),K(u,x),w) = R(x,y,z). [para(9458(a,1),44(a,1,1)),flip(a)]. 9460 L(L(x,y,z),K(u,x),w) = L(x,y,z). [para(9458(a,1),45(a,1,1)),flip(a)]. 9461 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(9458(a,1),311(a,1,2,1))]. 9464 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = (x * (R(z,u,w) * K(y,z))) / (K(y,z) * R(z,u,w)). [para(9459(a,1),3210(a,1,2,2)),flip(a)]. 9465 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = (x * (K(y,z) * L(z,u,w))) / (K(y,z) * L(z,u,w)). [para(9460(a,1),310(a,1,2,2)),flip(a)]. 9466 L(K(x,T(y,z)),T(y,z),u) = K(x,((y * z) \ z) \ 1). [para(104(a,1),9433(a,2,2,1,1))]. 9467 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(5172(a,2),9444(a,1,1,2))]. 9468 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z * K(y,z),y). [para(9444(a,1),5412(a,1,2))]. 9471 (x * T(y / z,z)) * z = (x * (y / z)) * (y / (y / z)). [para(5363(a,2),9455(a,1,2)),flip(a)]. 9472 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(9455(a,1),5545(a,1,1))]. 9473 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [para(9467(a,2),3114(a,2)),flip(a)]. 9474 L(K(x,y),K(z,x),u) = K(x,y). [para(9425(a,1),9161(a,1))]. 9475 L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). [para(9474(a,1),44(a,1,1)),flip(a)]. 9476 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(9474(a,1),89(a,1,2))]. 9477 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(9474(a,1),312(a,1,2,1))]. 9478 (x * K(y,z)) * L(K(z,u),w,v5) = x * (K(y,z) * L(K(z,u),w,v5)). [para(9474(a,1),313(a,1,2,1))]. 9480 ((K(x,y) * R(K(y,z),u,w)) \ (v5 * (K(x,y) * R(K(y,z),u,w)))) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)) = K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))). [para(9475(a,1),5908(a,1,1,1,2))]. 9481 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(9475(a,1),7810(a,1,2)),flip(a)]. 9482 K(x,x \ y) * (z * (y / (y / x))) = T(z * x,K(x,x \ y)). [para(5100(a,2),9446(a,1,2,2))]. 9483 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(7067,a,9452,a),flip(a)]. 9484 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(306,a,9452,a)]. 9485 K((x * y) \ (x * z),T(z,u)) = K(y \ z,T(z,u)). [para(9484(a,1),7053(a,1)),flip(a)]. 9486 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(7786,a,9476,a)]. 9487 R(x,K(y,z),K(z,u)) = x. [hyper(329,a,9476,a)]. 9488 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2114(a,2),9476(a,2,2))]. 9489 K(x,y) * (z * (K(u,y) * K(y,x))) = T(z * K(u,y),K(y,x)). [para(9476(a,1),5354(a,1,2))]. 9491 R(x,T(K(y,z),u),K(z,w)) = x. [para(1859(a,1),9487(a,1,2))]. 9492 (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(9487(a,1),2295(a,1,1,1))]. 9495 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(6332(a,1),9487(a,1,2))]. 9496 R(x,K(y,z),R(K(z,u),w,v5)) = x. [para(6946(a,1),9487(a,1,3))]. 9497 R(x / K(y,z),K(u,w),K(w,v5)) = x * K(z,y). [para(9487(a,2),7768(a,1))]. 9498 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(7739(a,1),9491(a,1,3))]. 9499 (x / L(K(y,z),u,w)) \ (x * K(z,v5)) = L(K(y,z),u,w) * K(z,v5). [para(9495(a,1),345(a,1,1))]. 9500 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(9495(a,1),358(a,1,1))]. 9501 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(9498(a,1),600(a,1,1)),flip(a)]. 9502 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(9498(a,1),8247(a,1)),flip(a)]. 9505 R(R(x,y,(z * (y \ 1)) / z),K(u,w),K(w,v5)) = ((x * y) * ((z * (y \ 1)) / z)) * K(y \ 1,z). [para(5662(a,1),9497(a,1,1))]. 9506 (x * (K(y,z) * K(z,u))) * w != x * K(y,z) | K(u,z) = w. [para(9486(a,1),19(a,1)),flip(a)]. 9508 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2114(a,2),9486(a,1,1,2))]. 9509 (x * K(y,z)) * (K(y,u) * K(z,y)) = x * K(y,u). [para(7770(a,1),9488(a,1,1)),flip(a)]. 9510 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(7804(a,1),9488(a,1,1)),flip(a)]. 9511 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(18,a,9486,a,b,9508,a(flip)),flip(a)]. 9512 x * K(y,z) != u * K(w,z) | u * (K(z,y) * K(w,z)) = x. [para(9508(a,1),20(a,2)),flip(b)]. 9513 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(68,a,9509,a)]. 9514 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) = K(y,x) * K(x,z). [hyper(270,a,9511,a)]. 9515 x / (K(y,z) * K(z,u)) = x * (K(z,y) * K(u,z)). [hyper(74,a,9511,a)]. 9516 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(7967(a,1),9513(a,1,1))]. 9517 x / (K(y,z) * K(u,y)) = x * (K(y,u) * K(z,y)). [para(2114(a,2),9515(a,1,2))]. 9518 R(T(K(x,y),y * z),y,z) = K(x,((y * z) \ z) \ 1). [para(9466(a,1),6364(a,2))]. 9519 K(((x * y) \ (z * y)) \ 1,x) = K(z \ x,((x * y) \ y) \ 1). [para(9518(a,1),6816(a,1)),flip(a)]. 9521 K(R(x,y / x,z),T(u,x \ y)) = K((y * z) / ((y / x) * z),u). [para(101(a,1),9043(a,1,1)),flip(a)]. 9522 K(R(x / (x / y),z,u),w) * K(T(w,y \ x),R(y,z,u)) = 1. [para(9043(a,2),5333(a,1,1))]. 9523 K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). [para(9436(a,1),9047(a,1,1,1,2))]. 9524 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [para(9054(a,2),8780(a,1))]. 9525 K(R(T(x,y * z),u,w),z) = K(R(T(x,z * y),u,w),z). [para(42(a,2),9066(a,2,1))]. 9526 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(106(a,1),9070(a,1,1,1))]. 9527 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(9526(a,1),6825(a,1,1))]. 9528 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4563(a,2),9527(a,1,1,2))]. 9529 T(x * K(y,x),T(y * x,y)) = L(x,y,x). [para(9084(a,2),4461(a,1))]. 9530 T(x * K(y,x),T(x * y,y)) = L(x,y,x). [para(9529(a,1),6756(a,1)),flip(a)]. 9531 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [para(9090(a,1),9078(a,1))]. 9532 K(x,T(x * (y \ 1),z)) = x \ T(x,T(y \ x,z)). [para(9531(a,1),5169(a,2,2))]. 9533 T(x,T(((x \ y) \ 1) \ x,(x \ y) \ 1)) = T(x,(((y \ x) \ 1) \ 1) \ x). [para(5990(a,1),9531(a,1,2)),flip(a)]. 9534 K(x,T(x * (y \ 1),z)) = K(x,T(y \ x,z)). [para(9532(a,2),5169(a,2)),flip(a)]. 9535 K(x,T((y \ 1) * x,z)) = K(x,T(y \ x,z)). [para(9534(a,1),5743(a,2))]. 9536 T(x,T(T(x,y) * z,u)) = T(x,T(x * z,u)). [para(9091(a,2),9078(a,1))]. 9538 T(x * K(y,x),T((x * K(y,x)) * z,u)) = T(x * K(y,x),T(x * z,u)). [para(5171(a,1),9536(a,1,2,1,1)),flip(a)]. 9540 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [para(9143(a,1),8915(a,1))]. 9541 T(x,K(y,x \ z)) = T(x,K(z,y)). [hyper(18,a,8498,a,b,9168,a),flip(a)]. 9542 T(x,K(y,z / x)) = T(x,K(z,y)). [para(9541(a,1),8012(a,2))]. 9543 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(13(a,1),9208(a,2,2))]. 9544 K(x \ y,K(y,z) * x) = K(x \ T(y,z),x). [para(9210(a,1),7383(a,1))]. 9545 K(x \ T(y,z),x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(9544(a,1),7058(a,1,1))]. 9546 K(((x * (y * x)) / x) / y,z) * ((z * T(x,y * x)) / z) = T(((x * (y * x)) / x) / y,T(y,z)). [para(1180(a,1),9217(a,1,2,1,2))]. 9547 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(4349(a,1),9221(a,1,2,1))]. 9548 K(x,T(T(y,y \ 1) * z,u)) = (x \ K(x,u)) * T((x \ 1) \ K(u,x),y * z). [para(4841(a,1),9222(a,1,2)),flip(a)]. 9549 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [para(9224(a,2),5157(a,2)),flip(a)]. 9550 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(5925(a,1),9549(a,2,1,2,1))]. 9551 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(7535(a,1),9549(a,2,1,2))]. 9552 K(x,y) * T(x * K(z,x),T(z,y)) = T(x,T(y,z)). [hyper(5542,a,9272,a(flip))]. 9553 x * (T(y,T(z,x)) * K(z,y)) = T(x,y) * T(y,T(x,z)). [para(7989(a,1),9272(a,1,2))]. 9555 K(x,y) * T(x * K(z \ y,x),T(z \ y,y)) = T(x,z * ((y * (z \ y)) / y)). [para(3947(a,2),9552(a,2,2))]. 9556 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [para(9306(a,1),5026(a,1)),flip(a)]. 9557 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(15(a,1),9556(a,1,1,1,2)),flip(a)]. 9558 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(9556(a,1),4993(a,1))]. 9559 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [para(9558(a,1),7769(a,1,1))]. 9560 (((x \ y) * x) * (y \ z)) \ z = K(x,(y \ z) \ (x \ z)). [para(4994(a,1),9559(a,1,1))]. 9561 K(x,K(y \ x,y) * (x \ z)) = K(x,(y * (x / y)) \ z). [para(5336(a,1),9310(a,1,2))]. 9562 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(9329(a,2),8487(a,1,1))]. 9563 (T(x,y) \ K(z,x)) * T(x,y) = (T(x,z) \ 1) * x. [para(9340(a,2),5303(a,1))]. 9564 T((T(x,y) \ K(z,x)) * T(x,y),T(x,y)) = (T(x,z) \ 1) * x. [para(9563(a,1),3187(a,2))]. 9565 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * (u * K(z,x))) \ w). [para(9344(a,1),8078(a,1,2,1)),flip(a)]. 9566 T(T(x,y) * z,K(x,u)) = T(x,y) * T(z,K(x,u)). [para(9353(a,1),9074(a,1))]. 9567 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [para(9566(a,1),7467(a,1))]. 9568 T(x / y,z) * T(y,K(x / y,z)) = x * K(x / y,z). [para(16(a,1),9567(a,2,1))]. 9569 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(9406(a,1),16(a,1,1))]. 9570 K(T(x,y),z) * (z * K(y,z)) = (y * (z * K(x,z))) / y. [para(9406(a,1),5700(a,1,1))]. 9571 (x * (y / z)) * (y / (y / z)) = (x * (z \ y)) * z. [para(106(a,1),9471(a,1,1,2)),flip(a)]. 9572 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [para(8800(a,1),9516(a,2,2))]. 9573 K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). [para(9557(a,1),8076(a,1,2,1))]. 9574 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(9557(a,1),9393(a,1,2,2))]. 9575 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(13(a,1),9574(a,1,2,2,1,1))]. 9576 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * T(z,x)). [para(32(a,2),9561(a,1,2,2)),flip(a)]. 9577 T(x / y,z) * T(y,K(z,x / y)) = x * K(x / y,z). [para(8502(a,1),9568(a,1,2))]. 9578 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(9569(a,1),5438(a,1,2))]. 9579 (x * K(y,x)) * K(T(z,y),x) = (y * (x * K(z,x))) / y. [para(9570(a,1),7765(a,1)),flip(a)]. 9580 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(7967(a,1),9572(a,1,2))]. 9581 T(x / y,z) * T(y,K(x,z)) = x * K(x / y,z). [para(9542(a,1),9577(a,1,2))]. 9582 T(x / T(y,x),z) * T(T(y,x),K(x,z)) = x * K(T(x,y) / y,z). [para(4330(a,2),9581(a,2,2,1))]. 9583 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(5834(a,1),9578(a,1,2,1,2,2)),flip(a)]. 9584 ((x * y) / x) / ((x * (y * K(z \ ((u \ 1) * w),y))) / x) = K(y,T(z \ ((1 / u) * w),x)). [para(6659(a,1),9578(a,1,2,1,2,2))]. 9585 R(x,y,T(z,K(y,u))) = R(x,y,z). [para(8447(a,1),8043(a,1))]. 9586 R(x,T(y,z),T(u,K(y,w))) = R(x,T(y,z),u). [para(8747(a,1),9585(a,1,3,2))]. 9587 K(x,y) * T(x,K(z,y)) = T(x,T(y,z)). [hyper(8464,a,8001,a),flip(a)]. 9588 T(x * K(y,x),T(y,z)) = T(x,K(y,z)). [hyper(17,a,9552,a,b,9587,a),flip(a)]. 9589 T(T(x,y),K(y,z)) = T(x,T(y,z)). [para(5217(a,1),9588(a,1,1)),flip(a)]. 9591 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [para(9589(a,2),7994(a,2)),flip(a)]. 9592 T(T(x,y),K(z,y)) = T(x,T(y,z)). [para(9589(a,1),8502(a,1)),flip(a)]. 9593 K(x,T(T(y,z) \ 1,K(z,u))) = K(x,T(y,T(z,u)) \ 1). [para(9589(a,1),8706(a,1,2,1)),flip(a)]. 9594 R(x,T(y,z),T(u,T(y,w))) = R(x,T(y,z),T(u,y)). [para(9589(a,1),9586(a,1,3))]. 9595 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(9592(a,1),8685(a,2,1))]. 9596 x \ T(T(x,y),K(y,z)) = T(K(x,y),z). [hyper(68,a,9591,a(flip))]. 9597 K(x,y) * T(T(x,z),K(z,u)) = T(K(x,z),u) * T(x,y). [para(9591(a,2),5725(a,1,2))]. 9598 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ T(K(1 / x,y),z)) * x. [para(9596(a,1),661(a,1,1,2)),flip(a)]. 9599 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(y * K(z,u),T(u,z)) \ 1). [para(9593(a,1),8294(a,2))]. 9600 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(9597(a,2),337(a,1,2))]. 9601 K(x,y) * R(K(z,K(u,y)),w,w \ K(x,y)) = (K(z,K(u,y)) * w) * (w \ K(x,y)). [para(7756(a,1),8555(a,1,1,1,2)),flip(a)]. 9603 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(8571(a,1),8596(a,2,2))]. 9604 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [para(9603(a,2),5926(a,1))]. 9606 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [para(8603(a,2),5201(a,1))]. 9607 K(L(x,y,z),u / K(x,w)) = K(L(x,y,z),u). [para(7768(a,2),9606(a,1,2))]. 9608 K(L(x,y,z),K(x,u) \ w) = K(L(x,y,z),w). [para(9607(a,1),9212(a,1)),flip(a)]. 9609 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(5336(a,1),9608(a,1,2))]. 9611 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(6332(a,1),9609(a,1,2,1))]. 9612 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7967(a,1),8650(a,1,1,2)),flip(a)]. 9613 L(x,y,x) * K(T(y * x,y),x) = (y * x) / y. [para(4460(a,1),8867(a,1,1))]. 9614 R(K(x,T(T(y,z),z * u)),z,u) = K(((z / x) * u) \ (z * u),y). [para(8928(a,1),8924(a,1,1))]. 9615 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [para(9034(a,1),8751(a,1))]. 9616 K(T(x,R(y,z,u) * w),L(y,w,R(y,z,u))) = K(T(x,w),y). [para(9038(a,1),8750(a,1))]. 9617 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((1 / x) * y,x) \ y) * (x \ 1)) * y. [para(4859(a,1),9173(a,1,1,1,2)),flip(a)]. 9618 a(x,y * K(z,y),z) = a(x,y,T(z,y)). [para(9468(a,1),134(a,1))]. 9619 a(x,T(y,K(z,u)),K(z,u)) = a(x,y,T(K(z,u),y)). [para(8484(a,1),9618(a,1,2))]. 9620 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [para(9472(a,1),30(a,2)),flip(a)]. 9621 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(8484(a,1),9620(a,1,3)),flip(a)]. 9622 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [para(9621(a,2),8671(a,1))]. 9624 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(9196(a,1),9622(a,1,2))]. 9625 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [para(9615(a,1),9416(a,1)),flip(a)]. 9626 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),9625(a,1,2,2)),flip(a)]. 9628 K(x,T(y \ 1,z) * y) = K(z,K(y \ 1,x)). [para(2998(a,1),8417(a,1,2)),flip(a)]. 9631 K(x,T(y \ 1,z) * y) = K(z,K(x,y \ 1)). [para(9628(a,2),8474(a,1))]. 9632 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(8449(a,2),8471(a,2,2,1))]. 9633 T(K(x,K(y,z)) * u,K(y,w)) = K(x,K(y,z)) * T(u,K(y,w)). [para(8449(a,1),8472(a,1,1,1))]. 9634 K(T(x \ 1,y) * x,z) = K(y,K(x \ 1,z)). [para(2998(a,1),8483(a,1,2)),flip(a)]. 9637 K(T(x \ 1,y) * x,z) = K(y,K(z,x \ 1)). [para(9634(a,2),8474(a,1))]. 9638 (T(x \ 1,y) * x) * K(y,K(z,x \ 1)) = T(T(x \ 1,y) * x,z). [para(9637(a,1),5200(a,2,2)),flip(a)]. 9639 K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u * x)) = K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))). [para(8621(a,1),5714(a,1,2))]. 9640 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(8645(a,1),8633(a,1,1))]. 9641 T(x * y,z) * ((y * x) \ 1) = K(x,y) * K(x * y,z). [para(5871(a,1),8661(a,1,2))]. 9642 T(((x * y) * ((y * x) \ 1)) * (y * x),z) = (K(x,y) * K(x * y,z)) * (y * x). [para(9641(a,1),4980(a,2,1))]. 9643 (K(x,L(y,z,u)) * (x / y)) * 1 = (x / y) * K(x,L(y,z,u)). [para(9277(a,1),8684(a,1,2))]. 9644 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(7973(a,2),8725(a,2,1))]. 9645 T(K((x \ 1) \ y,z),y * x) = K((x \ 1) \ y,z). [hyper(18,a,8542,a,b,8730,a),flip(a)]. 9646 T((x * y) \ ((x * K((y \ 1) \ x,z)) * y),x) = R(K((y \ 1) \ x,z),x,y). [para(9645(a,1),703(a,2,1))]. 9647 (x / ((y * z) / y)) \ (x * K(z,u)) = K(y,z) * T(z,u). [para(8831(a,2),6446(a,1))]. 9648 K((T(x,y) * z) \ u,T(x,z)) = K(u / (T(x,y) * z),x). [para(8842(a,1),7476(a,1)),flip(a)]. 9649 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(8853(a,1),7532(a,1)),flip(a)]. 9650 K(T(x,y),L(T(z,y),y,x \ 1)) = K(x,((x \ 1) * (z * y)) / ((x \ 1) * y)). [para(139(a,1),9649(a,1,2))]. 9651 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(6419(a,2),9649(a,1,2,1))]. 9652 T(x * K(y,T(x,z)),u) / T(x,u) = K(y,T(T(x,u),z)). [para(8869(a,1),8780(a,1))]. 9653 L(K(T(x \ 1,y),z),u,w) = K(T(L(x,u,w) \ 1,y),z). [para(8781(a,1),8884(a,1,1))]. 9654 K(T(L(x \ 1,y,z) \ 1,u),w) = L(K(T(x,u),w),y,z). [para(3084(a,1),9653(a,1,1)),flip(a)]. 9655 K(x,T(L(y \ 1,z,u) \ 1,w)) = L(K(T(y,w),x),z,u) \ 1. [para(9654(a,1),5332(a,1,1)),flip(a)]. 9656 x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). [para(5337(a,1),8885(a,1,2,2))]. 9657 T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). [para(9656(a,1),59(a,1,1))]. 9659 T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). [para(5172(a,2),9657(a,1,1,1))]. 9660 K(T(x,x * y),y) * K(y,x * y) = R(y,x,y) \ y. [para(5372(a,1),9657(a,1,1)),flip(a)]. 9661 K(T(x * y,x),y) * K(y,x) = L(y,x,y) \ y. [para(5396(a,1),9657(a,1,1)),flip(a)]. 9662 K(x * y,y) * K(y,x) = L(y,x,y) \ y. [para(8814(a,1),9661(a,1,1))]. 9663 L(x,y,x) \ x = x \ R(x,y,x). [para(9662(a,1),5933(a,1))]. 9664 x \ (x \ R(x,y,x)) = L(x,y,x) \ 1. [para(9663(a,1),858(a,1,2))]. 9665 T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). [para(9659(a,2),2114(a,2)),flip(a)]. 9666 K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. [para(1066(a,1),9665(a,1,1)),flip(a)]. 9667 K(x,y) * K(y,x * y) = R(y,x,y) \ y. [para(6357(a,1),9660(a,1,1))]. 9668 R(x,y,x) \ x = x \ L(x,y,x). [para(9667(a,1),9185(a,1))]. 9669 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [para(9668(a,1),796(a,1,2))]. 9670 x / R(x,y,x) = x \ L(x,y,x). [para(9668(a,1),7105(a,2))]. 9671 (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(9670(a,1),2480(a,1,1,2,1))]. 9672 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(9669(a,1),5082(a,2,2))]. 9673 K(T(x,y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [para(8891(a,1),7532(a,1)),flip(a)]. 9674 K(x \ (y * T(z,u)),T(z,y)) = K((y * T(z,u)) / x,z). [para(8906(a,1),7483(a,1)),flip(a)]. 9675 ((x * y) * K(z,x * y)) / y = x * K(z,(1 / y) \ x). [para(6520(a,1),9046(a,2,2))]. 9676 ((x * y) * K(z,x * y)) / y = x * K(z,(y \ 1) \ x). [para(7218(a,1),9675(a,2,2))]. 9677 (x * K(y,(z \ 1) \ x)) * z = (x * z) * K(y,x * z). [para(9676(a,1),16(a,1,1))]. 9678 (x \ y) * K(z,(x \ 1) \ (x \ y)) = x \ (y * K(z,y)). [hyper(18,a,5940,a(flip),b,9677,a)]. 9679 (x \ y) \ (x \ (y * K(z,y))) = K(z,(x \ 1) \ (x \ y)). [hyper(68,a,9678,a)]. 9680 (x \ K(y,z)) \ (x \ K(y,T(z,u))) = K(u,(x \ 1) \ (x \ K(y,z))). [para(8547(a,1),9679(a,1,2,2))]. 9681 T(x * y,y) / (T(x * y,y) / x) = x * K(y,x). [para(4042(a,1),9064(a,2,2))]. 9682 T(x * K(y,x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(9681(a,1),5705(a,1,1))]. 9683 L(x,y * K(x * y,y),x) = L(x,y,x). [para(9682(a,1),9530(a,1))]. 9684 L(x,R(y,x,y),x) = L(x,y,x). [para(9683(a,1),5643(a,1)),flip(a)]. 9685 L(x,R(T(y,y * x),x,T(y,y * x)),x) = L(x,L(y,x,y),x). [para(9684(a,2),4533(a,1))]. 9686 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [para(9152(a,1),7805(a,1))]. 9687 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5507(a,2),9686(a,1,2))]. 9688 (K(x,y) * K(x,K(z,u \ 1))) / u = T(K(x,y) / u,K(z,x)). [para(8435(a,1),9187(a,1,1,2))]. 9689 K(x,y) * (y * x) = (x * y) * K((z * u) * (1 / (u * z)),u * z). [para(6223(a,2),9194(a,2,2))]. 9690 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [para(9206(a,1),8826(a,1))]. 9691 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [para(9690(a,1),9166(a,1))]. 9692 T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). [para(9220(a,2),9218(a,1))]. 9693 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(14(a,1),9692(a,1,2,1,1)),flip(a)]. 9694 T(x,y \ ((z \ u) \ y)) = T(x,T(u \ z,y)). [para(9693(a,1),9236(a,1)),flip(a)]. 9695 K(x,y / (z * (K(u,x) / z))) = K(x,y * K(z \ K(u,x),z)). [para(7768(a,1),9397(a,1,2)),flip(a)]. 9696 (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(9456(a,1),6811(a,2))]. 9697 K(x,x \ y) * (z * (y / (y / x))) = T(z * x,K(x,y)). [para(9482(a,2),8638(a,1))]. 9698 K(x,x \ y) * ((z * (x \ y)) * x) = T((z * (y / x)) * x,K(x,y)). [para(9571(a,1),9697(a,1,2))]. 9699 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(9489(a,1),5444(a,1))]. 9700 K(x \ y,((y * z) \ z) \ 1) = K((x * z) \ (y * z),y). [para(9519(a,1),6464(a,1))]. 9701 K((x * y) \ (z * y),z) = K(x \ z,y \ (z * y)). [para(9700(a,1),6520(a,1))]. 9702 K((x * y) \ (z * y),z) = K(x \ z,T(z,y)). [para(32(a,2),9701(a,2,2))]. 9703 K((x / y) \ z,T(z,y)) = K(x \ (z * y),z). [para(16(a,1),9702(a,1,1,1)),flip(a)]. 9705 T((T(x,y) \ 1) * x,T(x,z)) = (T(x,y) \ 1) * x. [para(9563(a,1),9564(a,1,1))]. 9707 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * z). [para(9576(a,2),7622(a,1))]. 9708 K(x,x \ (y * x)) = K(x,K(z \ x,z) * y). [para(9707(a,1),8192(a,1)),flip(a)]. 9709 K(x,K(y \ x,y) * z) = K(x,T(z,x)). [para(32(a,2),9708(a,1,2)),flip(a)]. 9711 K(x,K(y \ x,y) * z) = K(x,z). [para(9709(a,2),5330(a,1))]. 9712 K(x * y,K(y,x) * z) = K(x * y,z). [para(13(a,1),9711(a,1,2,1,1))]. 9713 K(x,K(y,y \ x) * z) = K(x,z). [para(5352(a,1),9711(a,1,2)),flip(a)]. 9714 K(x,(x / y) \ z) = K(x,(y \ x) \ z). [para(5721(a,1),9711(a,1,2))]. 9715 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5821(a,1),9711(a,1,2)),flip(a)]. 9716 (K(x,K(y \ z,y)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(9711(a,1),7852(a,1,1,2))]. 9718 K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). [para(9713(a,1),5134(a,1,1))]. 9719 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(9712(a,1),5171(a,1,1,2))]. 9720 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(57(a,1),9714(a,1,2,1)),flip(a)]. 9721 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(9719(a,1),6414(a,1,2)),flip(a)]. 9722 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7973(a,2),9624(a,1,2))]. 9723 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [para(14(a,1),9632(a,1,2)),flip(a)]. 9724 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [para(9640(a,1),9488(a,1))]. 9725 K(x,L(y,z,u)) * (x / y) = (x / y) * K(x,L(y,z,u)). [hyper(71,a,9643,a)]. 9726 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [para(9644(a,1),9687(a,1))]. 9727 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [para(9672(a,2),1537(a,1))]. 9728 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(5524(a,1),9727(a,1,2))]. 9729 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(9002(a,1),9728(a,1,2)),flip(a)]. 9730 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(9729(a,1),7658(a,1,1))]. 9731 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [para(9729(a,1),7665(a,2))]. 9732 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(9731(a,1),9125(a,1,1,2,1))]. 9733 L(x,L(y,x,y),x) = L(x,T(y,x),x). [para(4491(a,1),9685(a,1,2)),flip(a)]. 9734 L(x,L(y,x,y),x) = L(x,y,x). [para(9733(a,2),4530(a,1))]. 9736 L(R(x,y,z),L(u,x,u),x) = R(L(x,u,x),y,z). [para(9734(a,1),44(a,1,1)),flip(a)]. 9737 L(R(x,y,z),L(u,x,u),x) = L(R(x,y,z),u,x). [para(9736(a,2),44(a,1))]. 9738 K(L(R(x,y,z),L(u,x,u),x),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(9737(a,1),5315(a,2))]. 9739 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [para(9691(a,1),9411(a,1)),flip(a)]. 9740 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [para(9739(a,1),7973(a,2))]. 9741 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / (z * (K(u,x) / ((z \ 1) \ 1)))). [para(9695(a,1),7252(a,1))]. 9742 T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). [para(9718(a,1),5507(a,1)),flip(a)]. 9743 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(8449(a,2),9723(a,1,2,1))]. 9744 T(x,K(y,y \ x) * z) = T(x,z). [hyper(4318,a,9742,a)]. 9745 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (z * T(y,z)). [para(9744(a,1),141(a,1,2,2)),flip(a)]. 9747 R(K(x,y),z,u) * R(T(K(y,x),w),z,u) = K(w,R(K(y,x),z,u)). [para(8546(a,1),6954(a,1)),flip(a)]. 9748 L(T(K(x,y),z),K(y,x) * z,u) = (u * (K(x,y) \ z)) \ (u * z). [para(5336(a,2),8743(a,2,1,2))]. 9749 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(8768(a,1),8678(a,1,2))]. 9750 L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)). [para(8864(a,2),8758(a,1))]. 9751 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [para(9750(a,1),9484(a,1))]. 9752 K(x,T((y * z) \ y,u)) = K(x,T(z \ 1,u)). [para(13(a,1),9751(a,1,2,1,1)),flip(a)]. 9753 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [para(9751(a,1),3602(a,2))]. 9754 K(x * ((y \ z) \ 1),T((y \ z) \ 1,u)) = K(((y \ z) \ 1) * x,T(z \ y,u)). [para(9751(a,1),6116(a,2))]. 9755 K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). [para(9751(a,1),8259(a,2))]. 9757 K(x,T(L(1 / y,z,u) \ 1,w)) = K(x,T(L(y \ 1,z,u) \ 1,w)). [para(2348(a,1),9752(a,1,2,1))]. 9758 K(x,T(y \ 1,z)) = K(x,z / (z * y)). [para(9752(a,1),8576(a,1))]. 9759 K(x,T(L(y,z,u) \ 1,u * z)) = K(x,(u * z) / (u * (z * y))). [para(89(a,1),9758(a,2,2,2))]. 9760 K(x,T(1 / (y \ z),y)) = K(x,y / z). [para(9753(a,2),8576(a,1))]. 9761 K(R(x,y,R(T(x,y),z,u)),T(w,y)) = K(x,T(w,R(x,z,u) * y)). [para(8874(a,1),8751(a,1))]. 9762 a(x,y * K(x,z),x) = a(x,y,T(x,z)). [para(9101(a,1),24(a,2)),flip(a)]. 9763 K(x,y) * K(y,L(y,z,u) * x) = y \ L(y,x,L(y,z,u)). [para(8934(a,1),9227(a,1,2))]. 9764 T(K(x,y \ (x \ (y * z))),y * z) = K(x,L(T(x \ z,y),x,y)). [para(9315(a,1),7990(a,2)),flip(a)]. 9765 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(9363(a,1),7097(a,1))]. 9767 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(9765(a,1),9578(a,1,2,1,2,2)),flip(a)]. 9768 K(x,R(y \ 1,y,z) \ (x \ 1)) = K(x,(z * y) / (T(z,y) * x)). [para(9373(a,1),7232(a,1)),flip(a)]. 9769 R(x,y / x,z) \ R(T(x,T(u,x \ y)),y / x,z) = K((y * z) / ((y / x) * z),u). [para(9521(a,1),5202(a,2))]. 9770 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [para(9612(a,2),6751(a,2)),flip(a)]. 9771 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(((z / x) * u) \ (z * u),y) \ 1. [para(9614(a,1),8197(a,1,1)),flip(a)]. 9772 R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). [hyper(68,a,9747,a)]. 9773 K(x,(L(x,y,z) * u) / (L(x,y,z) * (u * w))) = K(x,T(L(w,u,L(x,y,z)) \ 1,u)). [para(9759(a,1),9625(a,1))]. 9774 K(x,T(y \ (x \ (y * z)),y * z)) = K(x,L(T(x \ z,y),x,y)). [para(9764(a,1),7973(a,2))]. 9775 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). [para(9772(a,1),6955(a,1,1))]. 9776 (x * (y * K(z,u))) / (K(u,z) \ y) = x * K(u,K(z,K(u,z) \ y)). [para(7768(a,1),8433(a,1,1,2))]. 9777 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(8488(a,1),8467(a,1,1))]. 9778 K((T(x,y) / z) / (x / z),u) * (T(x,K(u,y)) / z) = x / z. [hyper(5452,a,9777,a)]. 9779 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(9777(a,1),102(a,1,1,1)),flip(a)]. 9780 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(9778(a,1),20(a,1)),flip(a)]. 9781 T(x / y,K(((x / y) \ (1 / y)) \ 1,z)) = T(x,K(z,y \ x)) / y. [para(8013(a,1),8501(a,2,1))]. 9782 L((x * K(x * y,y)) * K(y,x),z,u) = T(y * L(x,z,u),y) / y. [para(8123(a,1),8606(a,2,1))]. 9783 T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). [para(8689(a,1),9595(a,1)),flip(a)]. 9784 T(T(x,y) * K(z,x),u) / T(T(x,y),u) = K(z,T(x,u)). [para(8786(a,2),8751(a,1))]. 9785 K(x,T(y,z)) * T(T(y,u),z) = T(T(y,u) * K(x,y),z). [para(9784(a,1),16(a,1,1))]. 9787 K(x,T(y,z)) * T(T(y,z),u) = T(T(y,u) * K(x,y),z). [para(38(a,1),9785(a,1,2))]. 9788 T(T(x,y * T(x,z)) * K(y,x),z) = L(T(x,z),y,T(x,z)). [para(9787(a,1),5508(a,1))]. 9789 K(x,T(y,z * T(y,x)) * K(z,y)) * L(T(y,x),z,T(y,x)) = T(y,z * T(y,x)) * K(z,y). [para(9788(a,1),5158(a,1,2))]. 9790 K(T(x,y),L(T(z,y),u,T(z,y))) = K(x,T(z,u * T(z,y)) * K(u,z)). [para(9788(a,1),8747(a,1,2))]. 9791 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [para(8901(a,1),7162(a,1))]. 9792 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(125(a,1),9791(a,1,1,2)),flip(a)]. 9793 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [para(9791(a,1),6660(a,1)),flip(a)]. 9794 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ (x / ((z \ 1) * x)),z). [para(9792(a,2),3596(a,1))]. 9795 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(5476(a,1),8937(a,1,2)),flip(a)]. 9797 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [para(8970(a,2),9048(a,1))]. 9798 K(x \ y,T(z,T(y,x))) = K(y / x,z). [para(9797(a,1),8941(a,1)),flip(a)]. 9799 (x * (((y * x) / y) \ z)) / x = ((y * x) / y) \ (x * (z / x)). [para(9032(a,1),7634(a,1)),flip(a)]. 9800 (((x * y) / x) \ (y * (z / y))) \ 1 = (((x * y) / x) \ z) \ K(y \ z,y). [para(9799(a,1),7940(a,2,1)),flip(a)]. 9801 (K(x,T(y,z)) * u) * (K(y,w) * K(K(x,T(y,z)) * u,K(y,w))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). [para(9058(a,2),5186(a,2,1))]. 9802 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6549(a,1),9131(a,1,1))]. 9803 K(x,K(1 / y,z) / (1 / y)) = T(K(T(x,y \ 1),y),z). [para(59(a,1),9200(a,1,1,2)),flip(a)]. 9804 K(x,K(1 / y,z) / (1 / y)) = T(K(x,y),z). [para(8806(a,1),9803(a,2,1))]. 9805 K(x,1 / (K(y,z \ 1) / z)) = T(K(x,z),y). [para(6559(a,1),9804(a,1,2))]. 9806 K(x,(K(y,z \ 1) / z) \ 1) = T(K(x,z),y). [para(9805(a,1),3597(a,1)),flip(a)]. 9807 K(x,K(y,z \ 1) \ z) = T(K(x,z),y). [para(7373(a,1),9806(a,1,2))]. 9808 K(x,y * K(y \ 1,z)) = T(K(x,y),z). [para(5446(a,1),9807(a,1,2))]. 9809 T(x,T(T(y,z) \ z,u)) = T(x,T(y \ T(z,y),u)). [para(9219(a,2),9218(a,1)),flip(a)]. 9810 (x * T(y \ T(z,y),u)) / K(T(y \ T(z,y),u),x) = T(x,T(T(y,z) \ z,u)) * T(y \ T(z,y),u). [para(9809(a,2),6481(a,2,1))]. 9811 K(x \ y,T(y / x,z) * u) = K(x \ y,(x \ y) * u). [para(9267(a,1),7616(a,1))]. 9812 K(x \ y,T(y / x,z) * u) = K(x \ y,u * (x \ y)). [para(9811(a,2),5709(a,2)),flip(a)]. 9814 K(x \ y,T(y / x,z) * u) = K(x \ y,u * (y / x)). [para(9812(a,2),8594(a,2)),flip(a)]. 9815 K(x \ y,(y / x) * z) = K(x \ y,z * (y / x)). [para(103(a,1),9814(a,1,2,1))]. 9816 K((x \ y) \ K(x \ y,(y / x) * z),u) = K(y \ x,T(u,z * (y / x))). [para(9815(a,2),9190(a,1,1,2))]. 9817 K(x,K(y,T(y \ z,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). [para(5340(a,1),9270(a,1,1,2))]. 9818 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(5171(a,1),9281(a,1,1)),flip(a)]. 9819 R(x,y,x * K(z,x)) = R(x,y,x). [para(5171(a,1),9818(a,1,3)),flip(a)]. 9820 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(5221(a,1),9819(a,1,3))]. 9821 K(T(x,T(y,z)) \ K(y,u),w) = T(K(x \ K(y,u),w),T(y,z)). [para(9338(a,1),6569(a,1))]. 9822 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [para(9374(a,2),9372(a,1))]. 9823 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [para(9822(a,1),9378(a,2))]. 9824 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(59(a,1),9823(a,2,2,2,1))]. 9825 R(x,y,x) * ((x \ z) * K(x,u)) = (z / x) * (R(x,y,x) * K(x,u)). [para(9418(a,1),7686(a,1))]. 9826 (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). [para(2118(a,2),9477(a,2,2))]. 9827 R(x,K(y,z),L(K(z,u),w,v5)) = x. [hyper(329,a,9478,a)]. 9828 (x * K(y,z)) * L(K(z,u),w,v5) = x * (L(K(z,u),w,v5) * K(y,z)). [para(2117(a,2),9478(a,2,2))]. 9829 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(7770(a,1),9478(a,1,1)),flip(a)]. 9830 R(x,K(y,z),L(R(K(z,u),w,v5),v6,v7)) = x. [para(6946(a,1),9827(a,1,3,1))]. 9831 (x * R(K(y,z),u,w)) / (K(v5,y) * R(K(y,z),u,w)) = x * K(y,v5). [hyper(74,a,9481,a)]. 9832 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(13(a,1),9543(a,1,2))]. 9833 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [para(9832(a,1),8199(a,1)),flip(a)]. 9834 K(x * (((y * z) \ y) \ 1),z) = K(((y * z) \ y) \ x,z). [para(9833(a,2),8926(a,1))]. 9835 T(x / T(y,x),z) * T(y,T(x,z)) = x * K(T(x,y) / y,z). [para(9589(a,1),9582(a,1,2))]. 9836 (T(x \ 1,y) * x) * K(z,T(x \ 1,y) * x) = T(T(x \ 1,y) * x,z). [para(9631(a,2),9638(a,1,2))]. 9837 T((x * y) * (1 / (y * x)),y * x) = (x * y) * (1 / (y * x)). [hyper(6565,a,9689,a)]. 9838 ((x * y) * K(y * x,(y * x) \ 1)) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(9837(a,2),6046(a,1,2))]. 9839 (((x * y) * ((y * x) * (1 / (x * y)))) \ ((y * x) * (1 / (x * y)))) * T(((y * x) * (1 / (x * y))) * (x * y),(x * y) \ 1) = (y * x) * (1 / (x * y)). [para(9837(a,1),6714(a,2))]. 9840 T(((1 / x) * (x / y)) * y,K(y,x)) = a(x \ 1,y \ x,y). [para(9698(a,1),6393(a,1))]. 9841 T(a(x \ 1,x / y,y),K(y,x)) = a(x \ 1,y \ x,y). [para(4149(a,1),9840(a,1,1))]. 9842 K(x,T(L(1 / y,z,u) \ 1,w)) = L(K(T(y,w),x),z,u) \ 1. [para(9757(a,2),9655(a,1))]. 9843 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(u,K(z,K(u,z) \ y)). [para(5336(a,1),9776(a,1,2))]. 9844 T(x / y,K(((x / y) \ (1 / y)) \ 1,z)) = T(x / y,K(x,z)). [para(9781(a,2),9186(a,1))]. 9845 T(x / y,K(z,((x / y) \ (1 / y)) \ 1)) = T(x / y,K(x,z)). [para(9844(a,1),8502(a,1)),flip(a)]. 9846 T(x / y,K(z,(1 / y) \ (x / y))) = T(x / y,K(x,z)). [para(6520(a,1),9845(a,1,2))]. 9847 (T(x,y) / z) / K(((1 / z) / (x / z)) \ 1,y) = T(x / z,K(x,y)). [para(9846(a,1),8220(a,2))]. 9848 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [para(7883(a,1),9782(a,1,1))]. 9849 K(x,K(y,T(z,u))) * K(x,y / z) = K(x,T(z \ y,K(z,u))). [para(9093(a,1),9817(a,1,1))]. 9850 R(x,y,x) * ((x \ z) * K(x,u)) = (z / x) * R(T(x,u),y,x). [para(7544(a,1),9825(a,2,2))]. 9851 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = x * L(K(z,y),u,w). [para(9829(a,1),8299(a,2))]. 9852 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [para(7956(a,1),9831(a,1,1))]. 9853 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(u,K(z,y)). [para(7614(a,1),9843(a,2,2,2))]. 9855 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(z,K(y,u)). [para(8449(a,2),9853(a,2,2))]. 9856 (T(x,y) / z) / K(((z \ 1) / (x / z)) \ 1,y) = T(x / z,K(x,y)). [para(6662(a,1),9847(a,1,2))]. 9857 (x * L(K(y,z),u,w)) * K(z,y) = x * (K(z,y) * L(K(y,z),u,w)). [hyper(7786,a,9851,a)]. 9859 (T(x,y) / z) * K(y,((z \ 1) / (x / z)) \ 1) = T(x / z,K(x,y)). [para(9856(a,1),7768(a,1)),flip(a)]. 9860 (T(x,y) / z) * K(y,(x / z) / (z \ 1)) = T(x / z,K(x,y)). [para(5838(a,1),9859(a,1,2))]. 9861 (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(7973(a,2),9860(a,1,1,1))]. 9862 L(K(x,y) * K(x,K(y,z * (u * x))),u * x,z) = (z * (u * T(x,y))) / (z * (u * x)). [para(6409(a,1),8466(a,2,1,2))]. 9863 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3855(a,2),8835(a,1,1))]. 9864 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,T(L(x,u,w),z)). [para(8758(a,1),8862(a,1,1,1,2))]. 9865 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),9864(a,2,2))]. 9866 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,x * z),u,w)). [para(7476(a,1),9865(a,1,1,1,2))]. 9867 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,T(R(x,y,z),w)). [para(8758(a,1),8863(a,1,2,1,2))]. 9868 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,R(T(x,w),y,z)). [para(42(a,2),9867(a,2,2))]. 9869 K(T(x,(y \ z) \ u),z \ (y * u)) = K(x,z \ (y * u)). [para(316(a,1),9042(a,2,2))]. 9870 ((x * y) * z) / ((x * T(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(6409(a,1),9071(a,1,2,1))]. 9871 R(K(x,y),z * y,u) = K(T(x,z),R(T(y,z),z,u)). [para(9870(a,1),9188(a,1))]. 9872 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [para(9871(a,2),8755(a,1))]. 9873 K(R(x,y,z),y) = K(x,R(y,x,z)). [para(9872(a,1),7079(a,1)),flip(a)]. 9874 R(K(x,y),z * (y * K(u,x)),w) = K(x,R(y * K(u,x),z,w)). [para(8598(a,1),9872(a,1,1))]. 9876 K(R(x,R(y,z,u),w),R(y,z,u)) = K(x,R(R(y,x,w),z,u)). [para(46(a,1),9873(a,2,2))]. 9877 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [para(9873(a,2),5200(a,2,2)),flip(a)]. 9878 K(x,R(y,x,z)) * R(x,y,z) = T(R(x,y,z),y). [para(9873(a,1),5214(a,2,1)),flip(a)]. 9879 K(x,R(y,x,z)) * R(x,y,z) = R(T(x,y),y,z). [para(9878(a,2),42(a,2)),flip(a)]. 9880 T(x,R(y,x,z)) \ R(T(x,y),y,z) = x \ R(x,y,z). [para(9879(a,1),5514(a,1,2))]. 9881 K(R(x \ y,z,u),T(y,x)) = K(R(x \ y,z,u),y). [para(9085(a,1),5202(a,1))]. 9882 K(R(x / y,z,u),x) = K(R(y \ x,z,u),x). [para(9881(a,1),8763(a,1)),flip(a)]. 9883 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x * K(y,x),z,u),T(x,y) * y). [para(6263(a,1),9882(a,1,1,1)),flip(a)]. 9884 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(6370(a,1),9146(a,1,2))]. 9885 (x * (R(x,y,x) \ z)) / x = z / R(x,y,x). [hyper(74,a,9884,a)]. 9886 T(x,x * (y / R(x,z,x))) = T(x,x * (R(x,z,x) \ y)). [para(9884(a,1),4462(a,1,2)),flip(a)]. 9887 (x * (x * (R(x,y,x) \ z))) / x = (x * z) / R(x,y,x). [para(791(a,1),9885(a,1,1,2))]. 9888 (x * (x * (R(x,y,x) \ z))) / x = T(x,z) * (R(x,y,x) \ z). [para(9887(a,2),9299(a,2)),flip(a)]. 9889 T(x,x * (R(x,y,x) \ z)) = T(x,z). [hyper(3964,a,9888,a)]. 9890 T(x,x * (y / R(x,z,x))) = T(x,y). [para(9889(a,1),9886(a,2))]. 9891 T(x,y * R(x,z,x)) = T(x,x * y). [para(15(a,1),9890(a,1,2,2)),flip(a)]. 9893 T(x,y * R(x,z,x)) = x * K(x,x * y). [para(9891(a,2),5200(a,1))]. 9894 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(5247,a,9893,a)]. 9895 K(x,R(x,y,x) * z) = K(x,x * z). [para(9894(a,1),7629(a,2))]. 9896 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [para(9895(a,1),7527(a,2))]. 9897 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(3967,a,9264,a),flip(a)]. 9898 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(9897(a,1),4333(a,1,2))]. 9899 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = K(u,w) * L(K(z,u),y,x). [para(9500(a,2),2122(a,1))]. 9900 (K(x,y) * K(z,x)) \ 1 = K(y,x) * K(x,z). [para(9514(a,1),2172(a,1)),flip(a)]. 9901 K(x,T(y,z * T(y,u)) * K(z,y)) = K(x,L(y,z,T(y,u))). [para(9790(a,1),8753(a,1))]. 9903 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(5443(a,1),9863(a,2,2))]. 9904 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [para(9863(a,1),9873(a,1)),flip(a)]. 9905 K(x,L(T(y,y * z),u,w)) = K(x,L(T(y,z),u,w)). [para(9866(a,1),9865(a,1))]. 9906 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(T(y * K(z,y),z),u,w)). [para(5237(a,1),9905(a,1,2,1))]. 9907 K(x,T(y * ((1 / y) * z),z * u)) = K(x,L(T(z,u),y \ 1,y)). [para(9905(a,1),7266(a,2))]. 9908 K(x,T(y * ((1 / y) * z),z * (y \ 1))) = K(x,y * (z * (y \ 1))). [para(362(a,1),9907(a,2,2))]. 9909 K(x,T(y * ((1 / y) * z),y \ z)) = K(x,y * (z * (y \ 1))). [para(4804(a,1),9908(a,1,2))]. 9910 K(x,L(T(y,z \ y),z \ 1,z)) = K(x,z * (y * (z \ 1))). [para(9909(a,1),7266(a,1)),flip(a)]. 9911 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [para(9899(a,1),7808(a,1)),flip(a)]. 9912 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(7770(a,1),9911(a,1,2)),flip(a)]. 9913 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(y,u,w)). [para(5171(a,1),9906(a,2,2,1))]. 9914 K(x,L(L(y,z,y),u,w)) = K(x,L(y,u,w)). [para(5395(a,1),9913(a,1,2,1))]. 9915 K(x,L(R(y,z,y),u,w)) = K(x,L(y,u,w)). [para(6370(a,1),9914(a,1,2,1)),flip(a)]. 9916 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,(y \ 1) \ 1). [para(8618(a,2),5840(a,1))]. 9917 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,y). [para(9916(a,2),3596(a,1))]. 9919 K(x,T((y \ 1) * z,y) \ z) = K(x,y). [para(4261(a,1),9917(a,1,2))]. 9920 a(x,K(y,z) * u,T(K(y,z),u)) = a(x,u * K(y,z),K(y,z)). [para(8250(a,1),8637(a,1,3))]. 9922 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [para(8961(a,2),6905(a,2)),flip(a)]. 9923 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,x). [para(9014(a,2),9279(a,1))]. 9926 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(((x * y) \ (z * y)) \ 1,x). [para(9086(a,2),5794(a,1))]. 9927 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(z \ x,((x * y) \ y) \ 1). [para(9926(a,2),9519(a,1))]. 9928 K((x * y) \ (z * y),T(z,x)) = K(x \ z,((z * y) \ y) \ 1). [para(9927(a,1),6464(a,1)),flip(a)]. 9929 K((x * y) \ (z * y),T(z,x)) = K(x \ z,y \ (z * y)). [para(9928(a,2),6520(a,1))]. 9930 K((x * y) \ (z * y),T(z,x)) = K(x \ z,T(z,y)). [para(32(a,2),9929(a,2,2))]. 9931 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). [para(9174(a,2),9826(a,1))]. 9932 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7499(a,1),9501(a,1,2)),flip(a)]. 9934 T(x,T(((x \ y) \ 1) \ x,(x \ y) \ 1)) = T(x,(y \ x) \ x). [para(9533(a,2),4854(a,1))]. 9935 T(x,T(((x \ y) \ 1) \ x,(x \ y) \ 1)) = T(x,y). [para(9934(a,2),3946(a,1))]. 9936 T(x,T((x \ y) \ 1,y) \ x) = T(x,y). [para(6260(a,1),9935(a,1,2))]. 9937 T(x / (x / (T((x \ y) \ 1,y) \ x)),x) = x / (T(x,y) / (T((x \ y) \ 1,y) \ x)). [para(9936(a,1),6065(a,2,2,1))]. 9938 (K(x,y) / x) * T(x * K(y,x),T(x * z,u)) = K(x,T(T((x * K(y,x)) * z,u),y)). [para(9538(a,1),8872(a,1,2))]. 9939 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [para(9583(a,2),9578(a,1))]. 9940 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(59(a,1),9939(a,1,2,1,1)),flip(a)]. 9941 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(106(a,1),9939(a,1,2)),flip(a)]. 9942 K(x,T((y * K(z,u)) \ 1,w)) = K(x,T(K(u,z) / y,w)). [para(7769(a,1),9939(a,1,2,1,1)),flip(a)]. 9943 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(9941(a,1),7967(a,1,2))]. 9944 K(x,y \ ((z \ u) \ y)) = K(x,T(u \ z,y)). [para(9941(a,1),9751(a,1))]. 9945 K(x,y \ ((z / u) \ y)) = K(x,T(u / z,y)). [para(9940(a,1),9941(a,1)),flip(a)]. 9946 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(59(a,1),9943(a,1,2,2,2)),flip(a)]. 9947 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,y \ (x \ y)). [para(9943(a,2),5667(a,2))]. 9948 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(18,a,8833,a,b,9946,a)]. 9950 K(x,T(T(y * K(z,u),w) \ 1,v5)) = T(K(x,T(K(u,z) / y,v5)),w). [para(9942(a,1),9407(a,2,1))]. 9951 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [para(9948(a,1),8307(a,1))]. 9952 (K(x,y) * z) * K(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [para(9951(a,1),5200(a,2,2)),flip(a)]. 9953 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(6578,a,9947,a)]. 9954 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(9953(a,1),8581(a,1,1,2))]. 9955 K(x,y) * T(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [para(9952(a,1),6409(a,1)),flip(a)]. 9956 K(x,y) * T(K(y,x) * z,z \ y) = T(z,z \ T(y,x)). [hyper(5452,a,9955,a)]. 9957 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [para(9954(a,1),8581(a,1))]. 9958 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ T(K(x \ 1,y),z)) * x. [para(3073(a,1),9598(a,2,1,2,1))]. 9959 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(4281(a,1),9651(a,1,1))]. 9960 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(9959(a,2),9395(a,1))]. 9961 K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). [para(9755(a,1),9751(a,1)),flip(a)]. 9962 (((x * y) / x) \ z) \ K(y \ z,y) = (T(y,x) * (y \ (z / y))) \ 1. [para(4512(a,1),9800(a,1,1)),flip(a)]. 9963 (((x * y) / x) \ z) \ K(y \ z,y) = (K(y,x) * (z / y)) \ 1. [para(5175(a,1),9962(a,2,1))]. 9964 K(x \ y,T(z,(x / y) * u)) = K(x \ y,T(z,u * (x / y))). [para(9816(a,1),9190(a,1)),flip(a)]. 9965 (x * (T(y \ 1,z) * y)) / x = T(T(y \ 1,z) * y,x). [para(9836(a,1),5172(a,2))]. 9966 T(x \ K(x,y),z) * ((y * x) / y) = T(T(x \ 1,z) * x,y). [para(9965(a,1),7125(a,2))]. 9967 T(x \ K(x,y),z) * (x * K(y,x)) = T(T(x \ 1,z) * x,y). [para(5172(a,1),9966(a,1,2))]. 9968 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(6069(a,1),9922(a,2,1))]. 9969 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(5920(a,1),9968(a,1,2))]. 9970 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(9969(a,1),9241(a,1,2)),flip(a)]. 9971 T(x * K(x / y,z),x) = x * K(T(x,y) / y,z). [para(4330(a,2),9970(a,2,2,1))]. 9972 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ K(T(x,z) \ 1,y)) * x. [para(6086(a,2),9958(a,2,1,2))]. 9973 (1 / x) \ T(T(x \ 1,y),K(y,z)) = (x \ K(T(x,z) \ 1,y)) * x. [para(285(a,1),9972(a,1,2))]. 9974 T(T(x \ 1,y),K(y,z)) * x = (x \ K(T(x,z) \ 1,y)) * x. [para(9973(a,1),6773(a,1)),flip(a)]. 9975 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [para(8657(a,1),8965(a,1)),flip(a)]. 9976 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [para(9975(a,1),5674(a,1))]. 9978 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(9021(a,1),9976(a,1,2))]. 9979 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8505(a,1),8708(a,1,1,3))]. 9980 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5336(a,1),9979(a,2,2))]. 9981 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8632(a,1),8960(a,1,1))]. 9982 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(x,u,w),z * K(y * z,z)). [para(5593(a,1),9213(a,1,2)),flip(a)]. 9983 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(T(R(x,u,w),y * z),z). [para(9982(a,2),8781(a,1))]. 9984 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(T(x,y * z),u,w),z). [para(42(a,2),9983(a,2,1))]. 9985 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y * z),u,w),z). [para(9984(a,1),7473(a,1)),flip(a)]. 9987 K(R(T(x,y * z),u,w),z) = K(R(T(x,y),u,w),z). [para(9985(a,1),9240(a,1))]. 9988 K(R(T(x,y * z),u,w),y) = K(R(T(x,z),u,w),y). [para(9987(a,1),9525(a,1)),flip(a)]. 9989 K((x * y) \ ((x * z) * y),x) = K(R(T(z,y),x,y),x). [para(9988(a,1),5327(a,2))]. 9990 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = R(T(x,z),y,x) * T(y,x). [para(9298(a,2),4296(a,1))]. 9991 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(T(x,z) * y,x). [para(9990(a,2),7693(a,1))]. 9992 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(T(T(x,z) * y,x) \ u,T(x,y)). [para(9991(a,1),8051(a,1,1,1)),flip(a)]. 9993 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [para(9305(a,1),5777(a,1))]. 9994 T((x * y) \ T(x * y,z),x) = R(K((y \ 1) \ x,z),x,y). [para(6573(a,1),9646(a,1,1,2))]. 9995 R(K((x \ 1) \ y,z),y,x) = T(K(y * x,z),y). [para(5169(a,2),9994(a,1,1)),flip(a)]. 9996 R(K(x \ y,z),y,x \ 1) = T(K(y * (x \ 1),z),y). [para(6615(a,1),9995(a,1,1))]. 9997 R(K(x \ L(y,z,u),y),L(y,z,u),x \ 1) = K(L(y,z,u) * (x \ 1),y). [para(9996(a,2),3207(a,1))]. 9998 K(x,((x \ 1) * (y * z)) / ((x \ 1) * z)) = K(x,L(y,z,x \ 1)). [para(9650(a,1),8753(a,1))]. 10000 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(y,((z / x) * u) \ (z * u)). [para(9771(a,2),5332(a,1))]. 10001 T(R(K(T(x,y),z),y,u) * 1,y * u) = K(x,((y / z) * u) \ (y * u)). [para(6954(a,1),10000(a,1,1))]. 10002 T(R(K(x,T(y,z)),z,u) * 1,z * u) = K(x,((z / y) * u) \ (z * u)). [para(8800(a,1),10001(a,1,1,1,1))]. 10003 T(R(K(x,T(y,z)),z,u),z * u) = K(x,((z / y) * u) \ (z * u)). [para(12(a,1),10002(a,1,1))]. 10004 R(T(K(x,T(y,z)),z * u),z,u) = K(x,((z / y) * u) \ (z * u)). [para(10003(a,1),42(a,2))]. 10005 R(K(x,T(T(y,z),z * u)),z,u) = K(x,((z / y) * u) \ (z * u)). [para(7973(a,2),10004(a,1,1))]. 10006 K(x,((y / z) * u) \ (y * u)) = (y * u) \ ((y * K(x,z)) * u). [para(10004(a,1),8578(a,1))]. 10007 K(((x / y) * z) \ (x * z),u) = K(y,((x / u) * z) \ (x * z)). [para(10005(a,1),9614(a,1)),flip(a)]. 10008 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(10007(a,2),10006(a,1))]. 10009 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). [para(6953(a,1),9775(a,2,2))]. 10010 R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). [para(7503(a,1),10009(a,1,1,1))]. 10011 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [para(10010(a,1),57(a,1,2))]. 10013 x / (x / R(K(y,z),u,w)) = R(K(y,T(z,x)),u,w). [para(7973(a,2),10011(a,2,1))]. 10014 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [para(10011(a,1),9898(a,1)),flip(a)]. 10015 (R(K(x,y),z,u) * w) \ w = R(T(K(y,x),w),z,u). [para(6954(a,1),10014(a,1,1))]. 10016 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(100(a,1),10015(a,1,1))]. 10017 ((K(x,y) * z) * (z \ u)) \ u = R(T(K(y,x),u),z,z \ u). [para(221(a,1),10015(a,1,1))]. 10018 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7973(a,2),10016(a,2,1))]. 10019 R(T(K(x,x \ y),z),y,y \ z) = (((x \ y) * x) * (y \ z)) \ z. [para(5138(a,1),10017(a,1,1,1)),flip(a)]. 10020 ((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(9039(a,1),10018(a,2,1))]. 10021 (((x \ y) * x) * (y \ z)) \ z = z \ ((x * (y / x)) * (y \ z)). [para(10019(a,1),5564(a,1))]. 10022 x \ ((y * (z / y)) * (z \ x)) = K(y,(z \ x) \ (y \ x)). [para(10021(a,1),9560(a,1))]. 10023 1 \ ((x * (R((y \ 1) / z,z,y) / x)) * (z * ((y \ 1) \ 1))) = K(x,(R((y \ 1) / z,z,y) \ 1) \ (x \ 1)). [para(4847(a,1),10022(a,1,2,2))]. 10024 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [para(16(a,1),9779(a,2,1))]. 10026 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [para(10024(a,2),5213(a,2)),flip(a)]. 10027 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [para(10026(a,2),8435(a,1))]. 10028 (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8832(a,1),9981(a,1,1,2,1))]. 10029 K((x \ 1) * (T(y,z) / (x \ y)),x) = K(z,K((1 / (x \ y)) \ x,x)). [para(6537(a,1),8482(a,2,2))]. 10030 K((x \ 1) * (T(y,z) / (x \ y)),x) = K(z,K(x * (x \ y),x)). [para(6647(a,1),10029(a,2,2))]. 10031 K((x \ 1) * (T(y,z) / (x \ y)),x) = K(z,K(y,x)). [para(14(a,1),10030(a,2,2,1))]. 10032 K((x \ 1) * (T(y,z) / (x \ y)),x) = K(x,K(y,z)). [para(10031(a,2),8413(a,1))]. 10033 K((x \ 1) * (T(y,z) / (x \ y)),x) = K(y,K(z,x)). [para(10031(a,2),8435(a,1))]. 10034 K(x \ (T(y,z) / (x \ y)),x) = K(x,K(y,z)). [para(10032(a,1),4554(a,1)),flip(a)]. 10035 (T(x,y) / (z \ x)) / ((T(x,y) / (z \ x)) / z) = z * K(z,K(x,y)). [para(10034(a,1),5100(a,2,2))]. 10036 K(x,K(y,z)) * (T(x,y) / (z \ x)) = (z \ (T(x,y) / (z \ x))) * z. [para(10033(a,1),5477(a,1,1))]. 10037 (T(x,y) / (z \ x)) / ((T(x,y) / (z \ x)) / z) = T(z,K(x,y)). [para(10035(a,2),5200(a,2)),flip(a)]. 10038 (T(x,y) / (z \ x)) / K(z / ((z \ x) \ 1),y) = T(z,K(x,y)). [para(5906(a,2),10037(a,1,2))]. 10039 (T(x,y) / (z \ x)) * K(y,z / ((z \ x) \ 1)) = T(z,K(x,y)). [para(10038(a,1),7768(a,1)),flip(a)]. 10040 K(x,T(T(((y * x) / y) * z,u),y)) = K(x,T(T(z * ((y * x) / y),u),y)). [para(8859(a,1),8758(a,1)),flip(a)]. 10041 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(T(x,y) \ z,T(z,u)). [para(9051(a,1),5976(a,1))]. 10042 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = T(z * K(T(x,y) \ z,z),u) / T(z,u). [para(10041(a,2),5680(a,2)),flip(a)]. 10043 T(L(x * K(T(y,z),x),u,w),z) = K(y,L(x,u,w)) * L(T(x,z),u,w). [para(5763(a,1),9052(a,1,1))]. 10044 L(T(x * K(T(y,z),x),z),u,w) = K(y,L(x,u,w)) * L(T(x,z),u,w). [para(10043(a,1),40(a,2))]. 10045 K(x,L(y,z,u)) * L(T(y,w),z,u) = L(K(x,y) * T(y,w),z,u). [para(8787(a,1),10044(a,1,1)),flip(a)]. 10046 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = K(z,x). [para(9155(a,2),13(a,1))]. 10047 T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). [para(10046(a,1),14(a,1,2))]. 10048 T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). [para(10047(a,1),6865(a,1,2))]. 10049 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(64,a,9228,a),flip(a)]. 10050 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4863(a,1),10049(a,1,1)),flip(a)]. 10051 (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(10050(a,1),6191(a,2))]. 10053 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(9269(a,2),9268(a,1))]. 10054 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(57(a,1),10053(a,1,1,2,1,2,1))]. 10056 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [para(10054(a,1),9408(a,1)),flip(a)]. 10057 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [para(10056(a,1),8948(a,1)),flip(a)]. 10058 K(x * (y / (y / z)),T(z,x)) = K((y / (y / z)) * x,z). [para(4346(a,1),9320(a,1,2))]. 10060 K(x * (y / (y / z)),T(z,x)) = K(z * x,z). [para(10058(a,2),7943(a,1))]. 10061 K(x * (y / (y / z)),T(z,x)) = K(x * z,z). [para(10060(a,2),5920(a,2)),flip(a)]. 10063 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(y,x)) * (x \ y). [para(8502(a,1),9335(a,2,1))]. 10064 K(x,T(T(y,y \ 1) * z,u)) = K(x,T(y * z,u)). [para(9548(a,2),9222(a,1))]. 10065 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(196(a,1),10064(a,1,2,1,1)),flip(a)]. 10066 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(5107(a,1),10065(a,1,2,1)),flip(a)]. 10067 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7973(a,2),10066(a,2,2))]. 10068 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(z,K(x,T(y,u))). [para(10067(a,2),9133(a,1))]. 10069 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,(T(u,z) \ (y * u)) \ 1). [para(7841(a,1),9599(a,2,2,1))]. 10070 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,(y * u) \ T(u,z)). [para(10069(a,2),6520(a,1))]. 10071 T(K(x,T(K(y,z) / u,T(u,y))),y) = K(x,(u * y) \ T(y,z)). [para(10070(a,1),9950(a,1)),flip(a)]. 10072 (K(x,y) * K(x * y,z)) * (y * x) = T(K(x,y) * (y * x),z). [para(5870(a,2),9642(a,1,1,1)),flip(a)]. 10073 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [para(5134(a,1),10072(a,2,1))]. 10074 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(18,a,6186,a,b,10073,a),flip(a)]. 10075 (K(x,K(y,y \ z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(8474(a,1),9716(a,1,1,1))]. 10076 K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). [para(9754(a,1),9751(a,1))]. 10077 K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). [para(10076(a,1),9961(a,1))]. 10078 K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). [para(10077(a,2),8561(a,1))]. 10079 K(x * ((y \ z) \ 1),y / z) = K((y \ z) \ x,y / z). [para(10078(a,1),8561(a,1)),flip(a)]. 10080 K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). [para(10079(a,1),9189(a,2))]. 10081 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K((T(x,z) * y) \ u,T(x,y)). [para(9992(a,2),8653(a,1))]. 10082 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(u / (T(x,z) * y),x). [para(10081(a,2),9648(a,1))]. 10083 T(x / (y / z),K(y,z)) * (z \ y) = K(z \ y,z) * x. [para(16(a,1),10063(a,1,2)),flip(a)]. 10085 T((x / (y / z)) * (z \ y),K(y,z)) = K(z \ y,z) * x. [para(10083(a,1),9334(a,2))]. 10086 T(x * K(y \ z,y),K(z,y)) = K(y \ z,y) * x. [para(6552(a,1),10085(a,1,1))]. 10087 (K(x,K(y,z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(8517(a,1),10075(a,1,1,1))]. 10088 K(x,T(y,z)) \ (y * K(z \ x,z)) = T(K(z \ x,z) * y,x). [para(8448(a,1),10087(a,1,1))]. 10089 K(T(x,y),z) * (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(10088(a,1),5336(a,1)),flip(a)]. 10090 K(x,T(y,z)) * (x * K(z \ y,z)) = T(K(z \ y,z) * x,y). [para(8800(a,1),10089(a,1,1))]. 10091 T(x,T(y,z)) * K(z \ y,z) = T(K(z \ y,z) * x,y). [para(10090(a,1),5228(a,1)),flip(a)]. 10092 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [para(10091(a,1),9783(a,1))]. 10093 T(K(x \ (y * x),x) * z,y * x) = K(T(y,x),x) * T(z,y * x). [para(32(a,2),10092(a,2,1,1))]. 10094 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(5321(a,1),10093(a,2,1))]. 10095 T(K(T(x,y),y) * z,x * y) = K(x,y) * T(z,x * y). [para(32(a,2),10094(a,1,1,1,1))]. 10096 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(5321(a,1),10095(a,1,1,1))]. 10097 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6313,a,10096,a),flip(a)]. 10098 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(10097(a,2),138(a,1,2,2))]. 10099 (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(8800(a,1),8582(a,2,1,2))]. 10100 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,T(x,K(y,z))). [para(5354(a,1),8636(a,1,2)),flip(a)]. 10101 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,x). [para(10100(a,2),5934(a,1))]. 10102 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),9354(a,1,1,2))]. 10103 K(x,y) * R(K(z,K(y,u)),w,w \ K(x,y)) = (K(u,K(z,y)) * w) * (w \ K(x,y)). [para(8449(a,2),9601(a,1,2,1))]. 10104 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(9722(a,1),10099(a,2,1))]. 10105 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [para(10104(a,2),9980(a,1))]. 10106 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(8800(a,1),10105(a,1,1,2))]. 10107 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(8551(a,1),10106(a,1,2))]. 10108 (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(8834(a,2),10107(a,1,1))]. 10109 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(8502(a,1),10102(a,1,2))]. 10110 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(8681(a,1),10109(a,1,2))]. 10111 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(10110(a,1),5674(a,1,1,2))]. 10113 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5672(a,1),10111(a,1,1))]. 10114 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [para(10113(a,1),6916(a,1))]. 10115 K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [para(8698(a,2),5679(a,1))]. 10116 K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [para(105(a,1),10115(a,1,1,1))]. 10117 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(1614(a,1),8711(a,1,1))]. 10119 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(7768(a,1),10117(a,1,2))]. 10120 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(7004(a,1),10119(a,1,2)),flip(a)]. 10121 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(64,a,10120,a(flip)),flip(a)]. 10122 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5452,a,10121,a)]. 10123 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(6082(a,1),10122(a,1,2,2))]. 10124 T((x * (y * K(T(z,u),y))) / x,u) = K(z,y * K(x,y)) * T(y * K(x,y),u). [para(9579(a,1),9055(a,1,1))]. 10125 K(x,y * K(z,y)) * T(y * K(z,y),u) = (z * (K(x,y) * T(y,u))) / z. [para(10124(a,1),9053(a,1))]. 10126 K(T(x,y),z) * T(z * K(y,z),u) = (y * (K(x,z) * T(z,u))) / y. [para(8781(a,1),10125(a,1,1))]. 10127 K(T(x,y),z) * T((y * z) / y,u) = (y * (K(x,z) * T(z,u))) / y. [para(5172(a,2),10126(a,1,2,1))]. 10128 (x * (T(y,z) * K(u,T(y,T(u,w))))) / x = K(T(u,x),y) * T((x * y) / x,z). [para(7987(a,2),10127(a,2,1,2)),flip(a)]. 10129 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,T(z,x))). [para(10128(a,2),5774(a,1))]. 10130 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,z)). [para(9159(a,1),10129(a,2,2))]. 10131 (x * (T(y,T(z,x)) * K(z,y))) / x = y * K(x,T(y,z)). [para(7971(a,1),10130(a,1,1,2,2))]. 10132 (T(x,y) * T(y,T(x,z))) / x = y * K(x,T(y,z)). [para(9553(a,1),10131(a,1,1))]. 10133 T(T(x,y),y) * T(y,T(x,z)) = x * (y * K(x,T(y,z))). [para(10132(a,1),8298(a,2,2))]. 10134 T(T(x,y),y) * T(y,T(x,z)) = T(x,T(y,z)) * y. [para(10133(a,2),8656(a,1))]. 10135 (T(x,T(y,z)) * y) / K(x,y) = T(x,y) * T(y,T(x,z)). [para(10134(a,1),8292(a,1,1))]. 10136 T(x,y) * T(y,T(x,z)) = y * T(x,T(y,z)). [para(10135(a,1),8616(a,1))]. 10137 x * T(y * K(x,y),T(x,z)) = y * T(x,T(y,z)). [para(10136(a,1),8010(a,2))]. 10138 T(x * K(y,T(x,z)),y) = T(x * K(y,x),T(y,z)). [hyper(17,a,6414,a,b,10137,a),flip(a)]. 10139 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(z / y,x),y \ z). [para(8756(a,1),10138(a,1,1,2)),flip(a)]. 10140 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(z / y,x),y \ z). [para(8795(a,1),10138(a,1,1,2)),flip(a)]. 10141 T(x * K(y / z,x),z \ y) = T(x * K(z,x),T(z,y)). [para(10139(a,1),9273(a,1))]. 10142 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [para(10140(a,1),9588(a,1))]. 10143 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(y,x),T(y,z)). [para(10140(a,2),10141(a,1))]. 10144 T(x,y * ((z * (y \ z)) / z)) = K(x,z) * T(x * K(y,x),T(y,z)). [para(10143(a,1),9555(a,1,2)),flip(a)]. 10145 T(x,y * ((z * (y \ z)) / z)) = T(x,T(z,y)). [para(10144(a,2),9552(a,1))]. 10146 T(x,T(y,z \ y)) = T(x,T(y,z)). [para(3947(a,1),10145(a,1,2))]. 10147 T(K(x \ T(y,z),u),T(y,x)) = T(K(x \ T(y,z),u),y). [para(10146(a,1),7501(a,1))]. 10148 T(x,T(y,z \ 1)) = T(x,T(y,z)). [para(10146(a,1),9124(a,2))]. 10149 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [para(10148(a,2),5200(a,1))]. 10150 T(x,T(y,z \ u)) = T(x,T(y,u \ z)). [para(8054(a,1),10148(a,1,2))]. 10151 T(x * y,T(z,y)) = T(x * y,T(z,x)). [para(10148(a,1),9251(a,1))]. 10152 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [para(10148(a,2),9589(a,2))]. 10153 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(5247,a,10149,a)]. 10154 K(x,T(T(y,z \ 1),u)) = K(x,T(T(y,u),z)). [para(38(a,1),10153(a,1,2))]. 10155 K(x,T(y / (z \ 1),z)) = K(x,(z \ 1) \ y). [para(106(a,1),10153(a,1,2)),flip(a)]. 10156 K(x,T(y,L(y,z,u) \ 1)) = K(x,y). [para(531(a,1),10153(a,2,2))]. 10157 K(x,T(y,z \ y)) = K(x,T(y,z)). [para(10153(a,1),7481(a,1)),flip(a)]. 10158 K(x,T(y * z,z)) = K(x,T(y * z,y)). [para(10153(a,1),7486(a,1)),flip(a)]. 10159 (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). [para(10153(a,1),7967(a,1,2))]. 10160 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(8054(a,1),10153(a,1,2))]. 10161 K(x,T(y,z \ K(u,w))) = K(x,T(y,K(w,u) * z)). [para(8060(a,1),10153(a,1,2)),flip(a)]. 10162 K(x \ 1,T(y,z \ K(x,u))) = K(x \ 1,T(y,z)). [para(10153(a,1),8136(a,2))]. 10163 K(x,T((y \ 1) \ z,y)) = K(x,z / (y \ 1)). [para(10153(a,1),8561(a,1))]. 10166 K(x,T(y,z \ x)) = K(x,T(y,z)). [para(10153(a,1),8938(a,1)),flip(a)]. 10167 K(x * y,T(z,y)) = K(x * y,T(z,x)). [para(10153(a,1),8968(a,1)),flip(a)]. 10168 K(x,T(T(y,z),u \ y)) = K(x,T(T(y,z),u)). [para(10153(a,1),9296(a,1)),flip(a)]. 10169 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,x * (z \ 1)),u,w)). [para(10153(a,1),9866(a,1,1,1,2))]. 10170 K(x,T(y,z)) * (z \ y) = (z \ y) * K(x,y). [para(10157(a,1),8551(a,1,1))]. 10171 K((x \ y) / z,T(y,x)) = K(z \ (x \ y),y). [para(10157(a,1),8818(a,1))]. 10172 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z \ x))). [para(10157(a,1),8877(a,1,1,2))]. 10173 K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). [para(10156(a,1),8968(a,1)),flip(a)]. 10174 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(6108(a,1),10151(a,1,2)),flip(a)]. 10175 K(x,T(y * (z \ x),z)) = K(x,T(y * (z \ x),y)). [para(10158(a,1),10166(a,1)),flip(a)]. 10176 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(531(a,1),10167(a,1,2)),flip(a)]. 10177 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(544(a,1),10167(a,1,2)),flip(a)]. 10178 K(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x). [para(544(a,1),10167(a,2,2))]. 10179 K(x,T(T(y,z \ 1),u)) = K(x,T(T(y,z),u)). [para(38(a,1),10154(a,2,2))]. 10181 (x \ 1) * T(K(y,z),x) = K(y,z) * (x \ 1). [para(7973(a,1),10159(a,1,2))]. 10182 K((x \ R(y,z,u)) / w,R(T(y,x),z,u)) = K(w \ (x \ R(y,z,u)),R(y,z,u)). [para(42(a,2),10171(a,1,2))]. 10183 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(131,a,10181,a)]. 10184 K(T(x,y \ 1) \ 1,z) = T(K(x \ 1,z),y). [hyper(17,a,6085,a,b,10181,a),flip(a)]. 10185 L(T(K(x,y),z),z \ 1,z) = z * (K(x,y) * (z \ 1)). [para(10181(a,1),153(a,1,2)),flip(a)]. 10186 (1 / x) * T(K(y,z),x) = K(y,z) * (1 / x). [para(10183(a,1),2949(a,1,2))]. 10187 T(K(x,y),z \ K(u,w)) = T(K(x,y),K(w,u) * z). [para(10183(a,1),8060(a,1))]. 10188 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(10183(a,2),8425(a,2))]. 10190 K(T(x,y \ 1) \ 1,z) = K(T(x,y) \ 1,z). [para(10184(a,2),6086(a,2)),flip(a)]. 10191 (1 / x) * K(y,T(z,x)) = K(y,z) * (1 / x). [para(7973(a,2),10186(a,1,2))]. 10192 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(17,a,8425,a,b,10188,a),flip(a)]. 10193 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5838(a,1),10192(a,1,2))]. 10194 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(5840(a,2),10192(a,1,2))]. 10195 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [para(6520(a,1),10192(a,1,2))]. 10196 K(x,K(y,z \ K(u,w))) = K(x,K(y,K(w,u) * z)). [para(6530(a,1),10192(a,1,2))]. 10197 K(x,K(y \ 1,z)) = K(x,K(z,y)). [para(10192(a,1),8474(a,1)),flip(a)]. 10198 K(x,K(y,z \ 1)) = K(x,K(z,y)). [para(10192(a,2),8474(a,1))]. 10199 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [para(10192(a,1),9329(a,2))]. 10200 K(x,(y \ T(y * z,u)) / z) = K(u,K(x,(y \ 1) / z)). [para(10192(a,1),8465(a,1)),flip(a)]. 10201 (K(x,y) * K(x,K(z,u))) / u = T(K(x,y) / u,K(z,x)). [para(10192(a,1),9688(a,1,1,2))]. 10202 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6464(a,1),10197(a,1,2))]. 10203 K(x,K(y \ 1,z)) = K(y,K(x,z)). [para(10197(a,2),8449(a,1))]. 10204 K(x,K(y \ 1,z)) = K(x,K(y,z)). [para(10197(a,2),8474(a,1))]. 10205 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(10197(a,1),8445(a,2))]. 10206 x * (y \ ((K(z,u) \ (y * (x \ 1))) * K(z,u))) = K(z,K(u,x * (y \ K(z,u)))). [para(10197(a,1),8444(a,2))]. 10207 K(x \ 1,K(y,z)) = K(y,K(x,z)). [para(10198(a,1),8449(a,1)),flip(a)]. 10208 (1 / x) * K(y,K(x,z)) = T(1 / x,K(y,z)). [para(10198(a,1),8463(a,1,2))]. 10209 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(10198(a,1),9562(a,1,1,1)),flip(a)]. 10210 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(9863(a,1),10198(a,2,2))]. 10211 K(x \ 1,K(y,z)) = K(x,K(y,z)). [para(10203(a,1),8435(a,1)),flip(a)]. 10212 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(5947(a,2),10204(a,1,2))]. 10213 K(x,K(y,z)) * K(y \ (u / (z * u)),y) = K(y \ (u / (z * u)),T(y,x)). [para(10194(a,1),8525(a,1,1))]. 10214 K(x,K(y,z \ T(y,u))) = K(x,K(y,z)). [para(10195(a,1),8524(a,1))]. 10215 K(x,K(y,z \ x)) = K(x,K(z,y)). [para(10202(a,1),8528(a,1))]. 10216 K(x,K(y,z \ x)) = K(z,K(x,y)). [para(10215(a,2),8435(a,1))]. 10217 K(x,K(y,z)) * (x \ y) = T(x \ y,K(y,z)). [para(10216(a,1),8459(a,1,1))]. 10218 K(x,((y \ z) \ 1) \ y) * ((T(z,x) / (y \ z)) / y) = K((y \ z) \ 1,K(y,x)). [para(10216(a,1),8490(a,2))]. 10219 K(x,K(y,z)) * (z \ T(y,u)) = T(z \ T(y,u),K(x,y)). [para(10214(a,1),8459(a,1,1))]. 10220 K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y) \ 1,z). [para(10190(a,1),8723(a,2))]. 10221 (1 / (x * y)) * K(x,y) = K(x,y) * (1 / (x * y)). [para(4473(a,1),10191(a,1,2))]. 10223 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [para(10208(a,1),8485(a,1)),flip(a)]. 10224 T(1 / x,K(y,z)) \ 1 = T(x,K(y,z)). [para(10223(a,1),59(a,1,1))]. 10225 T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). [para(7757(a,1),10223(a,1,2)),flip(a)]. 10226 T(x,K(y,z)) \ 1 = T(x \ 1,K(y,z)). [para(57(a,1),10224(a,1,1,1))]. 10227 L(T(x,K(y,z)),u,w) \ 1 = T(L(x,u,w) \ 1,K(y,z)). [para(40(a,2),10226(a,1,1))]. 10228 T((x * K(y,z)) \ 1,K(z,y)) = (K(y,z) * x) \ 1. [para(7757(a,1),10226(a,1,1)),flip(a)]. 10229 T(x,K(y,z)) \ y = T(x \ y,K(y,z)). [para(10217(a,1),8493(a,1)),flip(a)]. 10230 (R(x,K(y,z),x) \ y) / T(x \ y,K(y,z)) = K(x,x * K(y,z)). [para(10229(a,1),6051(a,1,2))]. 10231 K(x \ 1,T(y,K(z,x) * u)) = K(x \ 1,T(y,u)). [para(10162(a,1),10161(a,1)),flip(a)]. 10232 K(x,T(y,T(z,u \ x))) = K(x,T(y,T(z,u))). [para(10172(a,1),8877(a,1))]. 10233 K(x,T(y,T(z,x \ u))) = K(x,T(y,T(z,u))). [para(10150(a,1),10232(a,1,2))]. 10234 K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). [para(10173(a,1),8800(a,2))]. 10235 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(10176(a,1),6809(a,1,2))]. 10236 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(10177(a,1),5409(a,1,2))]. 10237 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(10177(a,2),8454(a,2,1))]. 10238 T(K(x,y),z \ K(x,u)) = T(K(x,y),z). [para(10187(a,2),7499(a,1))]. 10239 T(K(x,y),T(y,z) \ K(y,u)) = K(x,y). [para(10187(a,2),7998(a,1))]. 10240 T(x \ T(K(y,z),x),K(y,z)) = x \ K(y,z). [para(10238(a,1),3948(a,1,1,2))]. 10241 K(x,y) * (T(y,z) \ K(y,u)) = (T(y,z) \ K(y,u)) * K(x,y). [para(10239(a,1),104(a,1,2)),flip(a)]. 10242 K(x,y) * (z \ T(K(y,x),z)) = (z \ K(y,x)) * K(x,y). [para(10240(a,1),7750(a,1,1)),flip(a)]. 10243 K(x,K(y,K(z,u) * w)) * y = T(y,K(x,w \ K(u,z))). [para(10196(a,1),8438(a,1,1))]. 10244 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(10192(a,1),10199(a,1,1))]. 10245 R(K(x,K(y,z)),u,w) = K(x,K(z,R(y,u,w))). [para(10198(a,1),10199(a,1,1))]. 10246 (K(x,K(y,z)) * u) \ K(x,K(y,R(z,u,u \ 1))) = u \ 1. [para(10244(a,1),327(a,1,2))]. 10247 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(8449(a,1),10244(a,1,1))]. 10248 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [para(10244(a,1),9328(a,1))]. 10249 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [para(10245(a,1),9327(a,1)),flip(a)]. 10250 K(x,K(y,R(z,u,w))) = K(x,K(z,R(y,u,w))). [para(10245(a,1),10244(a,1))]. 10251 K(R(K(x,y),z,u),w) = K(y,K(w,R(x,z,u))). [para(10247(a,1),9321(a,1)),flip(a)]. 10252 K(x,y) * K(y,K(z,R(u,w,w \ K(x,y)))) = (K(z,K(u,y)) * w) * (w \ K(x,y)). [para(10247(a,1),10103(a,1,2))]. 10253 K(x,K(y,R(z,u,w))) = K(z,K(x,R(y,u,w))). [para(10247(a,1),10244(a,1))]. 10254 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(7108(a,1),10249(a,1,2)),flip(a)]. 10255 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(10249(a,1),10122(a,1,1))]. 10256 K(x,K(y,R(x \ z,u,w))) = K(x,K(z,R(y,u,w))). [para(10250(a,1),8528(a,1))]. 10257 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(10207(a,1),10205(a,1,1))]. 10258 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(10211(a,1),10205(a,1,1))]. 10259 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [para(10258(a,1),9322(a,1)),flip(a)]. 10260 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [para(10258(a,1),10257(a,1))]. 10261 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [para(10259(a,2),8435(a,1))]. 10262 x * K(L(K(y,z),u,w),x) = T(x,K(z,L(y,u,w))). [para(10259(a,2),8437(a,1,2))]. 10263 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [para(10259(a,1),9330(a,1)),flip(a)]. 10264 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [para(10260(a,1),8435(a,1)),flip(a)]. 10265 K(x,K(y \ z,L(y,u,w))) = K(y,K(z,L(x,u,w))). [para(10260(a,1),8528(a,1))]. 10266 K(x,K(y,L(z \ 1,u,w))) = K(y,K(z,L(x,u,w))). [para(10260(a,1),10207(a,1))]. 10267 K(x,L(K(y,z),u,w) \ 1) = K(x,K(z,L(y,u,w))). [para(10263(a,1),9331(a,2))]. 10268 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(171(a,1),10264(a,2,2,2))]. 10269 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(6020(a,1),10212(a,2,2))]. 10270 (K(x,y) * (1 / (x * y))) * y = (1 / (x * y)) * (y * K(x,y)). [para(10221(a,1),9445(a,1,1))]. 10271 K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. [para(10234(a,1),9666(a,1,2))]. 10272 T(x,L(K(y,z),u,w)) = T(x,K(z,L(y,u,w))). [para(10262(a,1),9172(a,1)),flip(a)]. 10273 K(L(K(x,x \ y),z,u),w) = K(x,K(y,L(w,z,u))). [para(10265(a,1),10261(a,2))]. 10274 L(T(T(K(x,y),z),u),u \ 1,u) = T(u * (K(x,y) * (u \ 1)),z). [para(10185(a,1),107(a,2,1))]. 10275 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [para(10235(a,1),5504(a,1,2)),flip(a)]. 10276 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(10236(a,1),4657(a,1,1)),flip(a)]. 10277 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(4952(a,1),10200(a,1,2,1)),flip(a)]. 10278 K(x,y) / T(z,K(x,u)) = T(K(x,y) / z,K(u,x)). [para(10201(a,1),8432(a,1)),flip(a)]. 10279 K(x,y) / T(z,K(x,u)) = T(K(x,y) / z,K(x,u)). [para(10278(a,2),8502(a,1))]. 10280 T(K(x,K(y,z)) / z,K(x,y)) = 1 / z. [para(10279(a,1),8460(a,1))]. 10281 T(K(x,K(y,z)) / x,K(y,z)) = 1 / x. [para(8449(a,1),10280(a,1,1,1))]. 10282 K(x,T(K(y * (z * x),K(u,w)) / (y * (z * x)),K(u,w))) = 1 / (y * (z * ((x \ (z \ (y \ 1))) * x))). [para(10281(a,2),6868(a,2,2)),flip(a)]. 10283 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(9327(a,1),10209(a,2,1))]. 10284 K(x,K(y,z)) * (y \ T(z,u)) = T(y \ T(z,u),K(x,z)). [para(8474(a,1),10219(a,1,1))]. 10285 T(L(x,x \ K(y,z),x) \ 1,K(y,z)) = (x * K(x \ K(y,z),x)) \ 1. [para(8516(a,1),10227(a,1,1)),flip(a)]. 10286 K(x,y) * (z \ K(y,T(x,z))) = (z \ K(y,x)) * K(x,y). [para(7973(a,2),10242(a,1,2,2))]. 10287 T(x,K(y,z \ K(u,w))) = T(x,K(y,K(w,u) * z)). [para(10243(a,1),8438(a,1))]. 10288 T(x,K(y,z \ K(u,y))) = T(x,K(y,z)). [para(7612(a,1),10287(a,2,2))]. 10289 T(x,K(y,z \ 1)) = T(x,K(y,z)). [para(110(a,1),10288(a,1,2,2,2))]. 10290 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(6520(a,1),10289(a,1,2))]. 10291 T(x,K(y \ 1,z)) = T(x,K(z,y)). [para(10289(a,1),8502(a,1)),flip(a)]. 10292 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(6464(a,1),10291(a,1,2))]. 10293 T(x,K(y \ 1,z)) = T(x,K(y,z)). [para(10291(a,2),8502(a,1))]. 10294 T(x,K(y \ z,u)) = T(x,K(z \ y,u)). [para(6464(a,1),10293(a,1,2))]. 10295 T(x,K(y,x \ (z \ 1))) = T(x,K(z,y)). [para(10293(a,1),9541(a,2))]. 10296 T(x,K(y,x \ (z \ 1))) = z \ T(z * x,K(x,y)). [para(10290(a,1),9324(a,1))]. 10297 T(x,K(y,z \ x)) = T(x,K(z,y)). [para(10290(a,1),9541(a,1))]. 10298 (K(x \ y,z) * y) \ T(y,K(x,z)) = K(z,x \ y). [para(10297(a,1),7494(a,1,2))]. 10299 T(x,K(y,z \ x)) = T(x,K(y,z)). [para(10297(a,2),8502(a,1))]. 10300 L(x,y,z) \ L(T(x,K(u,w)),y,z) = K(L(x,y,z),K(u,w \ x)). [para(10299(a,1),5201(a,1,2,1))]. 10301 T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. [para(10299(a,1),8509(a,1,1))]. 10302 T(x,K(y \ z,z)) = T(x,K(z,y)). [para(10292(a,2),8638(a,1))]. 10303 T((x / y) \ 1,K(z,x \ y)) = (x / y) \ 1. [para(10292(a,1),8907(a,1))]. 10304 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [para(10302(a,1),10142(a,2))]. 10305 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(10304(a,1),5231(a,1,1))]. 10306 T(K(x,y) * z,x / z) = T(K(x,y) * z,z \ x). [para(7613(a,1),10305(a,1,1))]. 10307 T((x / y) \ 1,z / (x \ y)) = T((x / y) \ 1,(x \ y) \ z). [para(10303(a,1),10305(a,1,1))]. 10308 x \ T(x * y,K(y,z)) = T(y,K(x,z)). [para(10296(a,1),10295(a,1))]. 10309 x \ T(y * x,K(y,z)) = T(T(y,K(x,z)),x). [para(10308(a,1),4971(a,1,1)),flip(a)]. 10310 x \ T(y * x,K(y,z)) = T(T(y,x),K(x,z)). [para(10309(a,2),38(a,1))]. 10311 x \ T(y * x,K(y,z)) = T(y,T(x,z)). [para(10310(a,2),9589(a,1))]. 10312 (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(6700(a,1),10298(a,1,1,1,1))]. 10313 T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). [para(10301(a,2),8584(a,1))]. 10314 K(x,y) * T(K(y,x) * z,y / z) = T(z,z \ T(y,x)). [para(10306(a,2),9956(a,1,2))]. 10315 K(x,K(y,z)) * K(x,z \ y) = K(x,y / z). [hyper(8683,a,10313,a)]. 10316 K(x,K(y,z)) * K(y,x \ z) = K(y,z / x). [para(8449(a,1),10315(a,1,1))]. 10317 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,(y * z) / x). [para(8496(a,1),10316(a,1,1))]. 10318 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [para(10283(a,2),5214(a,2)),flip(a)]. 10319 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [para(10318(a,1),10291(a,1))]. 10321 T(x * K(y,z),y / x) * K(z,y) = T(x,x \ T(y,z)). [para(10314(a,1),7766(a,2))]. 10322 T(x,x \ T(y,z)) * K(y,z) = T(x * K(y,z),y / x). [hyper(7786,a,10321,a)]. 10323 (x / y) * T(x * (y / x),z) = T(x * K(y,z),y / x). [para(10322(a,1),6457(a,1)),flip(a)]. 10324 T(x * K(y * x,z),(y * x) / x) = (x / (y * x)) * T(x * y,z). [para(15(a,1),10323(a,1,2,1,2)),flip(a)]. 10325 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [para(10275(a,1),2114(a,1)),flip(a)]. 10326 K(x * L(y,z,u),T(y,x)) * K(y,x) = y \ R(y,x,L(y,z,u)). [para(10176(a,2),10325(a,1,1))]. 10327 K(x,y) * (T(y,z) \ K(y,x)) = T(y,z) \ 1. [para(10241(a,2),7806(a,1))]. 10328 (1 / (x * y)) * (y * K(x,y)) = K(x,y) * ((1 / (x * y)) * y). [para(10270(a,1),7452(a,1))]. 10329 1 / (((x / y) \ 1) \ K(z / (x \ y),(x / y) \ 1)) = T((x / y) \ 1,(x \ y) \ z). [para(10307(a,1),5197(a,1)),flip(a)]. 10330 ((x / y) * T((x / y) \ 1,(x \ y) \ z)) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(10307(a,1),5161(a,1,1,2))]. 10331 T(x * (K(y,z) * (x \ 1)),x) = L(K(y,z),x \ 1,x). [para(8540(a,1),10274(a,1,1)),flip(a)]. 10332 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(5966,a,10276,a),flip(a)]. 10333 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(10114(a,1),10276(a,2,1))]. 10334 K(R(x,y,z) * u,T(x,u)) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). [para(146(a,1),10332(a,1,1,1))]. 10335 R(x * (y * R(x,z,u)),K(y * R(x,z,u),x),K(x,y)) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [para(10332(a,1),357(a,2))]. 10336 K(L(x,y,z),K(u,w \ x)) = K(L(x,y,z),K(u,w)). [para(10300(a,1),5201(a,1))]. 10337 K(L(x,y,z),K(u,w \ x)) = K(u,K(w,L(x,y,z))). [para(10336(a,2),8449(a,2)),flip(a)]. 10338 T(x,K(y \ z,L(z,u,w))) = (K(x,K(y,L(z,u,w))) * v5) / (x \ v5). [para(10337(a,1),8462(a,1,1,1)),flip(a)]. 10339 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(1 / (x \ y),z)) * K(1 / (x \ y),z). [para(1999(a,1),10326(a,1,1,1,2)),flip(a)]. 10340 T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). [para(10174(a,1),9024(a,1))]. 10341 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(10340(a,1),5734(a,1,2,2))]. 10342 (x / (y * x)) * T(x * y,z) = T(x * K(y * x,z),y). [para(15(a,1),10324(a,1,2)),flip(a)]. 10343 T(x * K(y * x,z),y) = T(x,y) * K(x * y,z). [para(10342(a,1),6705(a,1))]. 10344 T((x / y) * K(y * (x / y),z),y) = T(x / y,y) * K(x,z). [para(16(a,1),10343(a,2,2,1))]. 10345 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,z),K(x,y * z)). [para(10343(a,2),8504(a,1,2))]. 10346 T((x / y) * K(y * (x / y),z),y) = (y \ x) * K(x,z). [para(106(a,1),10344(a,2,1))]. 10347 T((x / y) * K(x,L(y,z,u)),y) = (y \ x) * K(x,L(y,z,u)). [para(6156(a,1),10346(a,1,1,2))]. 10348 T(x,K(y \ z,L(z,u,w))) = T(x,K(y,L(z,u,w))). [para(10338(a,2),5513(a,1))]. 10349 T(x,K(y \ z,L(y,u,w))) = T(x,K(z,L(y,u,w))). [para(10348(a,1),10294(a,1)),flip(a)]. 10350 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,K(z,x)),z). [para(10345(a,2),9180(a,1))]. 10351 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,z),K(z,x)). [para(10350(a,2),38(a,1))]. 10352 K(x,y * z) * T(y * K(z * y,x),z) = T(y,T(z,x)). [para(10351(a,2),9589(a,1))]. 10353 T(L(x,x \ K(y,z),x) \ 1,K(y,z)) = x \ K(x,x \ K(y,z)). [para(10285(a,2),5634(a,1))]. 10354 K(x,L(T(y,y * (z \ 1)),u,w)) = K(x,L(T(y,z),u,w)). [para(10169(a,1),9865(a,1))]. 10355 K(x,L(T(y,z \ y),u,w)) = K(x,L(T(y,z),u,w)). [para(1247(a,1),10354(a,1,2,1))]. 10356 K(x,L(T(y,z),z \ 1,z)) = K(x,z * (y * (z \ 1))). [para(10355(a,1),9910(a,1))]. 10357 K(T(x,y),y * (z * (y \ 1))) = K(x,L(z,y \ 1,y)). [para(10356(a,1),8753(a,1))]. 10358 K(x,T(y * (z * (y \ 1)),y)) = K(x,L(z,y \ 1,y)). [para(10357(a,1),8800(a,1)),flip(a)]. 10359 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [para(10254(a,1),8474(a,1)),flip(a)]. 10360 K((T(x,y) \ R(x,z,u)) / w,R(x,z,u)) = K(w \ (T(x,y) \ R(x,z,u)),R(x,z,u)). [para(156(a,1),10182(a,1,2,1))]. 10361 K(x,K(y,z * (u \ K(x,y)))) = z * (u \ T(u * (z \ 1),K(x,y))). [para(7463(a,1),10206(a,1,2,2)),flip(a)]. 10362 K((x * (y \ 1)) \ 1,K(z,u)) = K(z,K(u,x * (y \ K(z,u)))). [para(10361(a,2),5948(a,1)),flip(a)]. 10363 K(x,K(y,(z * (u \ 1)) \ 1)) = K(x,K(y,z * (u \ K(x,y)))). [para(10362(a,1),8449(a,2))]. 10364 K(x,K(y,z * (u \ K(x,y)))) = K(x,K(y,z * (u \ 1))). [para(10363(a,1),10192(a,1))]. 10365 K(x,K(y,R(z,u,u \ K(x,y)))) = K(x,K(y,(z * u) * (u \ 1))). [para(8605(a,1),10364(a,1,2))]. 10366 K(x,K(y,R(z,u,u \ K(x,y)))) = K(x,K(y,R(z,u,u \ 1))). [para(154(a,1),10365(a,2,2,2))]. 10367 K(x,K(y,R(z,u,u \ K(z,x)))) = K(z,K(x,R(y,u,u \ 1))). [para(10366(a,1),10253(a,2))]. 10368 K(x,K(y,R(z,u,u \ K(z,x)))) = K(x,K(z,R(y,u,u \ 1))). [para(10367(a,2),8435(a,1))]. 10369 K(x,((y \ z) \ 1) \ y) * ((T(z,x) / (y \ z)) / y) = K(y,K(x,z \ y)). [para(10218(a,2),8469(a,1))]. 10370 K(x,((y \ z) \ 1) \ y) * ((T(z,x) / (y \ z)) / y) = K(y,K(z,x)). [para(10369(a,2),10215(a,1))]. 10371 R(x,y,x) * (K(z,R(x,y,x)) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(7473(a,1),9150(a,1,1)),flip(a)]. 10372 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(7473(a,1),10371(a,1,2,1))]. 10374 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5534(a,1),10372(a,1,2)),flip(a)]. 10376 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [para(9550(a,1),8784(a,1)),flip(a)]. 10377 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [para(10376(a,1),9202(a,1)),flip(a)]. 10378 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [para(10377(a,1),9551(a,1))]. 10379 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [para(10378(a,2),8792(a,1))]. 10380 K(T(x,y) * K(x * z,x),u) = K(K(z,x) * T(x,y),u). [para(5814(a,1),10379(a,1,1))]. 10381 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(3164(a,1),10380(a,1,1))]. 10382 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [para(10381(a,2),9524(a,1))]. 10383 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [para(10382(a,1),9524(a,1)),flip(a)]. 10384 K(x,T(x * y,T(y,z))) = K(x,x * y). [para(156(a,1),10383(a,1,2)),flip(a)]. 10385 K(x,T(y,T(z * x,u))) = K(x,T(y,T(z,u))). [para(10383(a,1),8971(a,2))]. 10386 K(x,T(x * T(y,z),y)) = K(x,x * T(y,z)). [para(9021(a,1),10384(a,1,2))]. 10387 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,(T(x,y) \ z) * T(x,y)). [para(10386(a,1),5983(a,1)),flip(a)]. 10388 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,T(x,y) * (T(x,y) \ z)). [para(10387(a,2),5709(a,2)),flip(a)]. 10389 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,z). [para(14(a,1),10388(a,2,2))]. 10390 K(T(x,y) \ z,T(z,x)) = K(T(x,y) \ z,z). [para(4281(a,1),10389(a,1,2))]. 10391 R(x,y / x,z) \ R(T(x,T(u,y)),y / x,z) = K((y * z) / ((y / x) * z),u). [para(9247(a,1),9769(a,1,2,1))]. 10392 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(10391(a,1),5202(a,1)),flip(a)]. 10393 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [para(10392(a,1),8560(a,1)),flip(a)]. 10394 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [para(10393(a,2),8923(a,1)),flip(a)]. 10395 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(59(a,1),10394(a,1,1,1)),flip(a)]. 10396 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(15(a,1),10395(a,1,1,2)),flip(a)]. 10397 R(K(x \ y,z),y,u) = K(R(x \ y,x,u),z). [para(57(a,1),10395(a,1,1,2)),flip(a)]. 10399 x / (T(x,y) / (T((x \ y) \ 1,y) \ x)) = T(x / T((x \ y) \ 1,y),x). [para(57(a,1),9937(a,1,1,2)),flip(a)]. 10401 x / (T(x,y) / (T((x \ y) \ 1,y) \ x)) = T(((x \ y) \ 1) \ x,x). [para(6259(a,1),10399(a,2,1))]. 10402 K(x,T(T((x * K(y,x)) * z,u),y)) = K(x,T(T(x * z,u),y)). [para(9938(a,1),8872(a,1))]. 10403 K(x,T(T(((y * x) / y) * z,u),y)) = K(x,T(T(x * z,u),y)). [para(5172(a,2),10402(a,1,2,1,1,1))]. 10404 K(x,T(T(y * ((z * x) / z),u),z)) = K(x,T(T(x * y,u),z)). [para(10403(a,1),10040(a,1)),flip(a)]. 10405 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(9282(a,1),10123(a,1,1))]. 10406 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(5169(a,2),10405(a,1,2))]. 10408 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(6116(a,1),10406(a,1,1))]. 10409 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [para(10408(a,2),7545(a,1))]. 10410 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [para(10409(a,1),2114(a,2))]. 10412 1 / (((x / y) \ 1) \ K(z / (x \ y),y / x)) = T((x / y) \ 1,(x \ y) \ z). [para(5838(a,1),10329(a,1,2,2))]. 10413 K(x * K(y,x),z \ (y / (y / x))) = K(x,T((y / (y / x)) * (z \ 1),y)). [para(6165(a,1),8875(a,1,1))]. 10414 K(x,T((y / (y / x)) * (z \ 1),y)) = K(x,T(z \ (y / (y / x)),y)). [para(10413(a,1),8780(a,1))]. 10415 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(3100(a,1),8973(a,1,2,1)),flip(a)]. 10416 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3100(a,1),10415(a,1,2)),flip(a)]. 10418 (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(10416(a,1),413(a,1,1,1)),flip(a)]. 10421 K(T(T(x / (x / y),z),R(u,w,v5) * x),u) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [para(9067(a,1),8781(a,1)),flip(a)]. 10422 K(x * y,L(x,y,x)) * (L(x,y,x) / (x * y)) = x / (T(x,y) * y). [para(9122(a,2),6733(a,1))]. 10424 K(x * y,x) * (L(x,y,x) / (x * y)) = x / (T(x,y) * y). [para(9121(a,1),10422(a,1,1))]. 10425 K(x * y,x) * (x / (R(x,y,x) * y)) = x / (T(x,y) * y). [para(6855(a,1),10424(a,1,2))]. 10427 K(T(x,y) / (z \ x),z) * (z / (R(z,K(((z \ x) \ 1) \ z,y),z) * K(((z \ x) \ 1) \ z,y))) = z / (T(z,K(((z \ x) \ 1) \ z,y)) * K(((z \ x) \ 1) \ z,y)). [para(6575(a,2),10425(a,1,1,1))]. 10428 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * (K(y,z) * y). [para(14(a,1),9545(a,1,2,2)),flip(a)]. 10430 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * T(y,z). [para(5214(a,2),10428(a,2,2))]. 10431 L(x \ y,x,K(y,z)) * (K(y,z) * x) = (x \ T(y,z)) * x. [para(10430(a,2),5138(a,1))]. 10432 L(x \ y,x,K(y,z)) * (K(y,z) * x) = T((x \ y) * x,z). [para(10431(a,2),4977(a,2)),flip(a)]. 10433 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),w / y) * x) = T((x \ L(y,z,u)) * x,w / y). [para(9211(a,1),10432(a,1,1,3))]. 10434 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (y * z). [para(104(a,1),9745(a,2,2))]. 10435 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(104(a,1),10098(a,1,2))]. 10436 K(((x / y) * (z * y)) \ (x * (z * y)),z) = L(K(y,z),T(x,z * y),z * y). [para(10435(a,1),10008(a,2))]. 10437 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(6950(a,1),10210(a,1,2))]. 10438 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(10437(a,1),10249(a,1)),flip(a)]. 10439 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(7973(a,2),10255(a,1,2,2,1))]. 10440 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(10110(a,1),10333(a,1,2,1))]. 10441 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(5534(a,1),10440(a,1,2))]. 10443 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(T(x,y),y). [para(10178(a,1),10334(a,1,1)),flip(a)]. 10444 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(x,y). [para(5321(a,1),10443(a,2,2))]. 10445 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(8890(a,1),10341(a,1,1))]. 10446 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(5336(a,1),10439(a,1,2))]. 10447 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(10446(a,1),20(a,1)),flip(a)]. 10448 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,x \ z). [para(7617(a,1),9005(a,2,2))]. 10450 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [para(10448(a,2),5432(a,1))]. 10452 L(x,T(y,x),x) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [para(4534(a,1),10450(a,1,1))]. 10453 L(x,T(y,x),x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(4534(a,1),10452(a,1,2,2))]. 10454 L(x,y,x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(4530(a,1),10453(a,1,1))]. 10455 L(x,y,x) * (z / L(x,y,x)) = x * (z / x). [para(4530(a,1),10454(a,1,2,2))]. 10456 L(x,y,x) * ((z * x) / L(x,y,x)) = x * z. [para(15(a,1),10455(a,2,2))]. 10457 (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(6094(a,1),9343(a,1,1,2))]. 10458 K(x,T(y \ ((1 / z) * u),w)) = K(x,T(y \ ((z \ 1) * u),w)). [para(9584(a,1),9578(a,1))]. 10459 K(x,T(y \ (((z \ 1) \ 1) * u),w)) = K(x,T(y \ (z * u),w)). [para(57(a,1),10458(a,1,2,1,2,1)),flip(a)]. 10460 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [para(9767(a,2),9578(a,1))]. 10461 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(9073(a,1),10460(a,1,2,1,2,1))]. 10462 (x * (y * (T(T(y,z),z) \ u))) * K(z,K(y,u)) = x * (K(z,y) * (u * K(z,y))). [para(8664(a,1),10457(a,1,2))]. 10463 (x * (y * (T(T(y,z),z) \ u))) * K(y,K(z,u)) = x * (K(z,y) * (u * K(z,y))). [para(8435(a,1),10462(a,1,2))]. 10465 K(x,y * (z * (K(u,x) * (w * K(u,x))))) = K(x,y * (z * (x * (T(T(x,u),u) \ w)))). [para(10463(a,1),8660(a,1,2,2))]. 10466 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * (w * K(u,x)))). [para(10465(a,1),9274(a,1))]. 10467 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * w)). [para(10466(a,2),8724(a,1))]. 10470 L(K(x * y,x) * K(x,K(z * y,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(8527(a,1),8473(a,1,1,2))]. 10471 L(K(x * y,x) * K(x,K(y * z,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5920(a,1),10470(a,1,1,2,2))]. 10472 L(K(x * y,x) * K(x,K(y,y * z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(8474(a,1),10471(a,1,1,2))]. 10473 (x * (T(y * z,y) / T(y,z))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). [para(8496(a,1),10472(a,1,1,2)),flip(a)]. 10474 L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). [para(4702(a,1),10473(a,1,1,2)),flip(a)]. 10475 (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,T(y,x)),z,x). [para(9193(a,1),10474(a,1,1)),flip(a)]. 10476 L(K(x * y,T(x,z)),y,z) = K((z * y) / (z * (x \ 1)),x). [para(10475(a,1),6750(a,1))]. 10477 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = K(x,x \ 1). [para(8564(a,2),2933(a,1))]. 10479 T(K(x * L(K(x,y),z,u),x \ 1),L(K(x,y),z,u)) = K(x,x \ 1). [para(4559(a,1),10477(a,1,1))]. 10480 K(x * L(K(x,y),z,u),x \ 1) = K(x,x \ 1). [para(10479(a,1),8701(a,1)),flip(a)]. 10483 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,K(R(z,u,w),z)). [para(9464(a,2),9855(a,1))]. 10484 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,1). [para(5296(a,1),10483(a,2,2,2))]. 10485 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * 1. [para(1614(a,1),10484(a,2,2))]. 10487 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x. [hyper(71,a,10485,a(flip)),flip(a)]. 10489 R(x,K(y,z),R(z,u,w)) = x. [para(9459(a,1),10487(a,1,3))]. 10490 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [para(10489(a,1),7774(a,1)),flip(a)]. 10492 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(7504(a,2),10490(a,1,2))]. 10493 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = x. [para(9465(a,2),15(a,1))]. 10494 R(x,K(y,z),L(z,u,w)) = x. [para(9460(a,1),10493(a,1,3))]. 10495 x / (K(y,z) * L(z,u,w)) = (x / L(z,u,w)) * K(z,y). [para(10494(a,1),7774(a,1)),flip(a)]. 10496 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(8747(a,1),10494(a,1,2))]. 10498 x / (K(y,z) * L(T(z,u),w,v5)) = (x / L(T(z,u),w,v5)) * K(z,y). [para(10496(a,1),7774(a,1)),flip(a)]. 10499 (((x * L(y,z,u)) * K(w,y)) / L(y,z,u)) * K(y,w) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [para(10495(a,1),3208(a,1))]. 10500 (x / L(T(y,z),u,y)) * K(y,z) = x / L(y,u,y). [para(9027(a,1),10498(a,1,2)),flip(a)]. 10501 (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(9696(a,2),9488(a,1))]. 10502 K(x,L(y,z,T(y,x))) * L(T(y,x),z,T(y,x)) = T(y,z * T(y,x)) * K(z,y). [para(9901(a,1),9789(a,1,1))]. 10503 L(K(x,y) * T(y,x),z,T(y,x)) = T(y,z * T(y,x)) * K(z,y). [para(10502(a,1),10045(a,1)),flip(a)]. 10504 T(x,y * T(x,z)) * K(y,x) = L(x,y,T(x,z)). [para(5158(a,1),10503(a,1,1)),flip(a)]. 10506 L(x,y,T(x,z)) = T(x,x * y) * K(y,x). [para(8619(a,1),10504(a,1,1)),flip(a)]. 10507 L(x,y,T(x,z)) = L(x,y,x). [para(10506(a,2),5644(a,1))]. 10509 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(10507(a,1),40(a,2,1))]. 10514 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [para(10509(a,2),40(a,2)),flip(a)]. 10516 K(L(T(x,y),z,x),u) = K(T(x,y),u). [para(10514(a,1),8998(a,1,1))]. 10517 K(x,L(T(y,z),u,y)) = K(x,T(y,z)). [para(10514(a,1),9121(a,1,2))]. 10518 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = ((u / L(T(x,y),z,x)) * K(x,y)) * x. [para(10514(a,1),9147(a,1,1,1,2)),flip(a)]. 10519 K(T(x,y),z) * L(T(x,y),u,x) = L(T(T(x,y),z),u,x). [para(10516(a,1),5277(a,1,1))]. 10520 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = (u / L(x,z,x)) * x. [para(10500(a,1),10518(a,2,1))]. 10522 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = x * (L(x,z,x) \ u). [para(10520(a,2),9127(a,1))]. 10524 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(10514(a,1),10522(a,1,2,1))]. 10526 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(10441(a,1),5575(a,2))]. 10527 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(8800(a,1),10526(a,1,1))]. 10528 K(T(x,y) \ 1,z) * K(x \ K(x,y),x * K(y,x)) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(5334(a,1),8718(a,1,2,2))]. 10529 K(T(T(x,y),x \ 1),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(4291(a,1),9409(a,1,1))]. 10530 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(10529(a,1),3105(a,1)),flip(a)]. 10531 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K(x,((x \ 1) * T(y,x)) / z). [para(10530(a,2),3074(a,1))]. 10532 R(R(x \ (y / ((z * (x \ 1)) / z)),x,(z * (x \ 1)) / z),K(u,w),K(w,v5)) = (x * (((z * (x \ 1)) / z) * T(((z * (x \ 1)) / z) \ (x \ y),x))) * K(x \ 1,z). [para(1791(a,2),9505(a,2,1))]. 10533 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * ((z * T(x,y * x)) / z). [para(4456(a,1),9546(a,1,1,1)),flip(a)]. 10534 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * ((z * T(x,x * y)) / z). [para(4462(a,1),10533(a,2,2,1,2))]. 10535 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * T((z * x) / z,x * y). [para(290(a,1),10534(a,2,2))]. 10536 K(L(x,y,x),z) * T((z * x) / z,x * y) = T(L(x,y,x),T(y,z)). [para(4456(a,1),10535(a,1,1)),flip(a)]. 10537 K(L(x,y,x),z) * T((z * x) / z,x * y) = L(T(x,T(y,z)),y,x). [para(10536(a,2),40(a,2)),flip(a)]. 10538 L(T(x,T(y,z)),y,x) = K(x,z) * T((z * x) / z,x * y). [para(8998(a,1),10537(a,1,1)),flip(a)]. 10540 L(T(x,T(y,z)),y,x) = T(x,T(x * y,z)). [para(10538(a,2),9215(a,1))]. 10541 L(T(x,T(T(y,z),u)),T(y,u),x) = T(x,T(x * T(y,u),z)). [para(38(a,1),10540(a,1,1,2))]. 10542 L(T(x,T(T(y,z),u)),T(y,u),x) = T(x,T(x * T(y,u),z * y)). [para(9293(a,1),10540(a,1,1))]. 10543 T(x,T(x * T(y,z),u * y)) = T(x,T(x * T(y,z),u)). [para(10542(a,1),10541(a,1))]. 10544 K(x,T(x * T(y,z),u * y)) = x \ T(x,T(x * T(y,z),u)). [para(10543(a,1),5169(a,2,2))]. 10545 K(x,T(x * T(y,z),u * y)) = K(x,T(x * T(y,z),u)). [para(10544(a,2),5169(a,2)),flip(a)]. 10546 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / K((z * ((u \ 1) / z)) \ 1,x)). [para(7036(a,2),9741(a,2,2,2))]. 10547 (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(4596(a,1),10020(a,1,1))]. 10548 (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(3634(a,1),10312(a,1,2,2))]. 10549 K(T(x,y) \ 1,z) * K(T(x \ K(x,y),y),x) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(8781(a,1),10528(a,1,2))]. 10550 T(x \ K(x,y),z) * (1 / (x \ K(x,y))) = K(T(x,y) \ 1,z) * K(x \ 1,x). [para(8809(a,1),10549(a,1,2)),flip(a)]. 10551 T(x \ K(x,y),z) * (1 / (x \ K(x,y))) = (x \ K(T(x,y) \ 1,z)) * x. [para(10550(a,2),7121(a,1))]. 10553 T(x \ K(x,y),z) * (x * K(y,x)) = (x \ K(T(x,y) \ 1,z)) * x. [para(5638(a,1),10551(a,1,2))]. 10554 (x \ K(T(x,y) \ 1,z)) * x = T(T(x \ 1,z) * x,y). [para(10553(a,1),9967(a,1))]. 10555 T(T(x \ 1,y),K(y,z)) * x = T(T(x \ 1,y) * x,z). [para(10554(a,1),9974(a,2))]. 10556 T(T(x \ 1,x) * x,y) = T(x \ 1,x) * x. [para(1817(a,1),10555(a,1,1)),flip(a)]. 10557 x / (T(y \ 1,y) * y) = (T(y \ 1,y) * y) \ x. [para(10556(a,1),159(a,1,2))]. 10558 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y). [para(10546(a,2),8597(a,1))]. 10559 K(x,y * K(((z \ 1) \ 1) \ K(u,x),z)) = K(x,y). [para(3596(a,1),10558(a,1,2,2))]. 10561 K(x,y * K(z \ K(u,x),z)) = K(x,y). [para(3617(a,1),10559(a,1,2,2))]. 10562 K(x,y * (K(z,x) / u)) = K(x,y * (u \ K(z,x))). [para(6589(a,1),10561(a,1,2)),flip(a)]. 10564 (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(8551(a,1),10547(a,1,1,2))]. 10565 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [para(10564(a,1),9414(a,1))]. 10567 (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(8502(a,1),10548(a,1,2))]. 10568 K(x / ((y \ 1) * z),y * K(y \ z,y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(6737(a,1),9209(a,1,2))]. 10569 K(T(x / ((y \ 1) * z),y \ z),y) = K((y \ L(z,y \ 1,y)) \ x,y). [para(10568(a,1),8781(a,1)),flip(a)]. 10570 K(T(x / ((y \ 1) * z),y \ z),y) = K(((y \ 1) * z) \ x,y). [para(360(a,1),10569(a,2,1,1))]. 10571 K(T(x / ((y \ 1) * z),z),y) = K(((y \ 1) * z) \ x,y). [para(10570(a,1),8948(a,1)),flip(a)]. 10572 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((T(x,y) \ 1) * y),x). [para(10571(a,1),8747(a,1))]. 10573 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((x \ 1) * y),x). [para(10572(a,2),9365(a,1))]. 10574 T(x * T(x \ y,z),x) / K(T(x \ T(y,x),z),x) = T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z). [para(1882(a,2),9810(a,1,1))]. 10575 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(T(x,y) * y,y)). [para(9883(a,2),8860(a,1))]. 10576 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(x * y,y)). [para(10575(a,2),6911(a,1))]. 10577 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),T(x,u) * u). [para(59(a,1),10576(a,1,1,1)),flip(a)]. 10578 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),x * u). [para(10577(a,2),6818(a,1))]. 10579 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),T(x,u) * u). [para(7582(a,1),10578(a,1,2)),flip(a)]. 10580 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),x * u). [para(10579(a,2),6818(a,1))]. 10581 T(x * T(x \ y,z),x) / K(T(x \ y,z),x) = T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z). [para(4502(a,1),10574(a,1,2))]. 10582 T(x * T(x \ y,z),x) * K(x,T(x \ y,z)) = T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z). [para(10581(a,1),6765(a,1)),flip(a)]. 10583 T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z) = R(x,T(x \ y,z),x) * T(x \ y,z). [para(10582(a,1),6411(a,1))]. 10584 T(x,T(T(x,y) \ y,z)) * T(x \ T(y,x),z) = T(x * T(y / x,z),x). [para(10583(a,2),4736(a,1))]. 10585 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(10584(a,1),4327(a,1))]. 10586 T(x,T(x * T(y / x,z),x)) = T(x,x * T(T(x,y) \ y,z)). [para(10585(a,2),4573(a,2,2)),flip(a)]. 10587 T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(y / x,z)). [para(10586(a,1),4281(a,1))]. 10588 T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(x \ y,z)). [para(10587(a,2),4469(a,1))]. 10589 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(10588(a,1),4465(a,1,2)),flip(a)]. 10590 T(x / T(y,x),z) * T(y,y * T(y \ x,z)) = y * T(y \ x,z). [para(10589(a,1),7133(a,1))]. 10591 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((x \ 1) * y,x) \ y) * (x \ 1)) * y. [para(5032(a,1),9617(a,2,1,1))]. 10592 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(9730(a,1),9732(a,1,1,2))]. 10593 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(10492(a,1),10592(a,1,1))]. 10594 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),10593(a,1,2))]. 10595 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(162(a,1),10594(a,1,2,1))]. 10596 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,x) * (x \ 1)) * y. [para(9919(a,1),10591(a,2,1,1))]. 10597 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (T(x,z) \ 1) * y. [para(5162(a,1),10596(a,2,1))]. 10599 ((x \ 1) * y) * R(K(z,y \ ((1 / x) \ y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(9953(a,1),10597(a,1,2,1))]. 10600 ((x \ 1) * y) * R(K(z,T(x / 1,y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(9945(a,1),10599(a,1,2,1))]. 10601 ((x \ 1) * y) * R(K(z,T(x,y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(56(a,1),10600(a,1,2,1,2,1))]. 10602 T(x,x \ y) \ R(T(x,x \ y),z,x) = T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y). [para(9923(a,1),9015(a,1,2))]. 10603 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = x \ R(x,z,x). [para(10602(a,1),7545(a,1))]. 10605 K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u)) = K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))). [para(9639(a,1),10545(a,1)),flip(a)]. 10606 K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))) = K(T(x,y) \ z,T(z,u)). [para(10605(a,1),5714(a,1))]. 10607 K(T(x,y) \ z,T(z,u * T(x,z))) = K(T(x,y) \ z,T(z,u)). [para(7416(a,1),10606(a,1,2,2,2))]. 10608 K(T(x,y) \ z,T(z,u * x)) = K(T(x,y) \ z,T(z,u)). [para(7410(a,1),10607(a,1,2))]. 10610 1 \ (R(x * (((y \ 1) / z) / x),z,y) * (z * ((y \ 1) \ 1))) = K(x,(R((y \ 1) / z,z,y) \ 1) \ (x \ 1)). [para(3880(a,2),10023(a,1,2,1))]. 10611 1 \ (((x * (((y \ 1) / z) / x)) * z) * ((y \ 1) \ 1)) = K(x,(R((y \ 1) / z,z,y) \ 1) \ (x \ 1)). [para(4846(a,1),10610(a,1,2))]. 10612 1 \ ((x * (y * ((x \ (z \ 1)) / y))) * ((z \ 1) \ 1)) = K(y,(R((z \ 1) / x,x,z) \ 1) \ (y \ 1)). [para(4991(a,1),10611(a,1,2,1))]. 10613 K(x,(R((y \ 1) / z,z,y) \ 1) \ (x \ 1)) = 1 \ K(x,((z * x) * ((y \ 1) \ 1)) \ 1). [para(6929(a,1),10612(a,1,2)),flip(a)]. 10614 K(x,(R((y \ 1) / z,z,y) \ 1) \ (x \ 1)) = 1 \ K(x,((z * x) * y) \ 1). [para(7231(a,1),10613(a,2,2))]. 10615 K(x,(R((y \ 1) / z,z,y) \ 1) \ (x \ 1)) = K(x,((z * x) * y) \ 1). [para(10614(a,2),48(a,1))]. 10616 K(x,(y * ((z \ 1) \ 1)) \ (x \ 1)) = K(x,((y * x) * z) \ 1). [para(4847(a,1),10615(a,1,2,1))]. 10617 K(x,((y * x) * z) \ 1) = K(x,(y * z) \ (x \ 1)). [para(10616(a,1),7231(a,1))]. 10618 K(x,((x \ y) * z) \ (x \ 1)) = K(x,(y * z) \ 1). [para(10617(a,1),9573(a,1))]. 10619 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((T(x * y,x) / T(x,y)) * z). [para(8521(a,1),8513(a,1,1,1)),flip(a)]. 10620 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(x * y,x)) * z). [para(7866(a,1),10619(a,2,2,1))]. 10621 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(y * x,x)) * z). [para(5920(a,2),10620(a,2,2,1,2))]. 10622 R(T(K(x * y,y),x * z),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(5920(a,2),10621(a,1,1,1))]. 10623 R(K(x * y,T(y,x * z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(7973(a,2),10622(a,1,1))]. 10624 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),y \ w) * x) = T((x \ L(y,z,u)) * x,w / y). [para(9211(a,1),10433(a,1,2,1))]. 10625 T((x \ L(y,z,u)) * x,w / y) = T((x \ L(y,z,u)) * x,y \ w). [para(10624(a,1),10432(a,1))]. 10626 T((x \ L(y,y \ z,y)) * x,y \ T(z,y)) = T((x \ y) * x,z). [para(10625(a,1),6913(a,1))]. 10627 L(T((x \ y) * x,y \ T(z,y)),y \ z,y) = T((x \ y) * x,z). [para(10626(a,1),5090(a,2))]. 10628 L(T((x \ y) * x,y \ z),y \ z,y) = T((x \ y) * x,z). [para(9265(a,1),10627(a,1,1))]. 10629 x \ (y * (((z \ y) * z) * (y \ x))) = T((z \ y) * z,x). [para(10628(a,1),450(a,1)),flip(a)]. 10630 x * T((y \ z) * y,x) = z * (((y \ z) * y) * (z \ x)). [para(10629(a,1),14(a,1,2))]. 10631 x * (((y \ x) * y) * (x \ z)) = ((y \ x) * y) * z. [para(10630(a,1),104(a,1))]. 10633 (K(x,T(y,z)) * u) * (K(y,w) * K(y,K(w,K(x,T(y,z)) * u))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). [para(8449(a,2),9801(a,1,2,2))]. 10634 (K(x,K(y,z)) * (K(u,T(y,w)) * x)) * K(y,z) = (K(u,T(y,w)) * x) * (K(y,z) * K(x,K(y,z))). [para(8827(a,1),10633(a,1,2,2)),flip(a)]. 10635 K(x,K(y,z)) * (K(u,T(y,w)) * x) = K(u,T(y,w)) * T(x,K(y,z)). [hyper(18,a,9455,a(flip),b,10634,a)]. 10637 T(K(x,T(y,z)) * u,K(y,w)) = K(x,T(y,z)) * T(u,K(y,w)). [para(10635(a,1),9058(a,1)),flip(a)]. 10638 T(K(x,T(y,z)) * u,K(w,y)) = K(x,T(y,z)) * T(u,K(y,w)). [para(10637(a,1),8502(a,1)),flip(a)]. 10639 T(K(x,T(y,z)) * u,K(w,y)) != K(x,T(y,z)) * v5 | T(u,K(y,w)) = v5. [para(10638(a,2),19(a,1))]. 10640 K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(6919(a,1),3312(a,1,1))]. 10642 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((K(y \ 1,y) / (x * y)) * ((((x * y) / x) \ 1) \ 1)) \ 1. [para(2889(a,1),4945(a,2,1,2))]. 10643 ((x * y) * L((z \ (y \ (1 / x))) * z,y,x)) * (K(x,x \ 1) \ 1) = K((((x * y) * z) * (K(x,x \ 1) \ 1)) \ 1,z). [para(5088(a,2),6871(a,1,1,2))]. 10644 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(z,x),v5,v6),u,w). [para(5332(a,1),8400(a,2,1,2,1))]. 10645 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(3102(a,1),9600(a,1,1,3))]. 10647 (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(8805(a,1),10645(a,1,1)),flip(a)]. 10648 (x * T(y,z)) * T(T(K(y,u),w),T(y,z)) = x * (T(K(y,u),w) * T(y,z)). [para(9597(a,1),10647(a,2,2))]. 10649 (x * T(y,z)) * T(K(y,u),w) = x * (T(K(y,u),w) * T(y,z)). [para(3102(a,1),10648(a,1,2))]. 10651 (x \ y) * (T(K(x,z),y) * T(x,u)) = K(x,z) * ((x \ y) * T(x,u)). [para(10649(a,1),8256(a,1))]. 10652 K(x,y) * ((x \ z) * T(x,z)) = (x \ z) * T(T(x,z),y). [para(8807(a,1),10651(a,1,2)),flip(a)]. 10653 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(7448(a,1),10652(a,1,2,2))]. 10654 (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(10418(a,2),336(a,1))]. 10655 (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(10654(a,1),1273(a,1)),flip(a)]. 10656 (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(5447(a,1),10655(a,1,1,2,1))]. 10657 (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(5815(a,1),10656(a,1,1,2,1))]. 10658 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(8782(a,1),10657(a,1,1,2,1)),flip(a)]. 10659 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [para(10658(a,1),4434(a,1))]. 10661 (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(10659(a,1),801(a,2,1,2)),flip(a)]. 10662 (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(5336(a,1),10661(a,1,1))]. 10663 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((((x * y) / x) \ 1) \ K(y \ 1,y))) \ 1. [para(5014(a,1),10642(a,2,1))]. 10664 (x * (y * ((z \ (y \ (1 / x))) * z))) * (K(x,x \ 1) \ 1) = K((((x * y) * z) * (K(x,x \ 1) \ 1)) \ 1,z). [para(89(a,1),10643(a,1,1))]. 10665 (x * (y * ((z \ (y \ (1 / x))) * z))) * K(x \ 1,x) = K((((x * y) * z) * (K(x,x \ 1) \ 1)) \ 1,z). [para(1434(a,1),10664(a,1,2))]. 10666 K((((x * y) * z) * (K(x,x \ 1) \ 1)) \ 1,z) = (1 / (1 / x)) * (y * ((z \ (y \ (1 / x))) * z)). [para(10665(a,1),2980(a,1))]. 10667 K((((x * y) * z) * (K(x,x \ 1) \ 1)) \ 1,z) = K((((1 / x) \ 1) * (y * z)) \ 1,z). [para(10666(a,2),6804(a,1))]. 10668 K((((x * y) * z) * (K(x,x \ 1) \ 1)) \ 1,z) = K((x * (y * z)) \ 1,z). [para(59(a,1),10667(a,2,1,1,1))]. 10669 K((((x * y) * z) * K(x \ 1,x)) \ 1,z) = K((x * (y * z)) \ 1,z). [para(1434(a,1),10668(a,1,1,1,2))]. 10670 K((((1 / (1 / x)) * y) * z) \ 1,z) = K((x * (y * z)) \ 1,z). [para(3840(a,1),10669(a,1,1,1))]. 10671 K(((1 / (1 / x)) * y) \ (z \ 1),z) = K((x * (y * z)) \ 1,z). [para(10670(a,1),6879(a,1)),flip(a)]. 10672 K((x * (y * z)) \ 1,z) = K((x * y) \ (z \ 1),z). [para(10671(a,1),6661(a,1))]. 10673 x * (y * ((z \ (y \ (x \ 1))) * z)) = K((x * y) \ (z \ 1),z). [para(10672(a,1),6758(a,2))]. 10674 K(x,T(K(y * (z * x),K(u,w)) / (y * (z * x)),K(u,w))) = 1 / K((y * z) \ (x \ 1),x). [para(10673(a,1),10282(a,2,2))]. 10675 K(x,T(K(y * (z * x),K(u,w)) / (y * (z * x)),K(u,w))) = K(x,(y * z) \ (x \ 1)). [para(10674(a,2),5344(a,1))]. 10676 K(x,1 / (y * (z * x))) = K(x,(y * z) \ (x \ 1)). [para(10280(a,1),10675(a,1,2))]. 10677 K(x,(y * (z * x)) \ 1) = K(x,(y * z) \ (x \ 1)). [para(10676(a,1),3597(a,1)),flip(a)]. 10678 K(x,(y * (z / x)) \ (x \ 1)) = K(x,(y * z) \ 1). [para(16(a,1),10677(a,1,2,1,2)),flip(a)]. 10679 K(x,(y * (x \ z)) \ (x \ 1)) = K(x,(y * z) \ 1). [para(10678(a,1),8077(a,1)),flip(a)]. 10680 K(x,((x \ y) * z) \ 1) = K(x,(y * (x \ z)) \ 1). [para(10679(a,1),10618(a,1))]. 10681 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((K(y,x) * (1 / y)) \ 1)) \ 1. [para(9963(a,1),10663(a,2,1,2))]. 10682 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((K(y,x) / y) \ 1)) \ 1. [para(6561(a,1),10681(a,2,1,2,1))]. 10683 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [para(6553(a,1),10682(a,2,1,2))]. 10684 L(x,(((x * y) / x) \ 1) \ 1,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [para(2889(a,1),10683(a,1,2))]. 10685 L(x,(((x * y) / x) \ 1) \ 1,(x * y) \ 1) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [para(10684(a,1),5023(a,1)),flip(a)]. 10687 L(x,(x * y) / x,(x * y) \ 1) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [para(10685(a,1),7139(a,1)),flip(a)]. 10688 x * ((T(y,(z \ x) \ u) * (x \ (z * u))) / T(y,(z \ x) \ u)) = z * (u * K(y,(u \ (z \ x)) \ 1)). [para(6009(a,1),5698(a,2,2))]. 10689 x * ((x \ (y * z)) * K(T(u,(y \ x) \ z),x \ (y * z))) = y * (z * K(u,(z \ (y \ x)) \ 1)). [para(5172(a,1),10688(a,1,2))]. 10690 x * ((x \ (y * z)) * K(u,x \ (y * z))) = y * (z * K(u,(z \ (y \ x)) \ 1)). [para(9869(a,1),10689(a,1,2,2))]. 10691 (x * y) * K(z,((x * y) \ u) \ 1) = x * (y * K(z,(y \ (x \ u)) \ 1)). [para(10690(a,1),6009(a,1)),flip(a)]. 10692 L(K(x,(y \ (z \ u)) \ 1),y,z) = K(x,((z * y) \ u) \ 1). [hyper(306,a,10691,a)]. 10693 L(K(x,(y \ z) \ 1),y,u) = K(x,((u * y) \ (u * z)) \ 1). [para(13(a,1),10692(a,1,1,2,1,2))]. 10694 K(x,((y * z) \ (y * (z * u))) \ 1) = L(K(x,u \ 1),z,y). [para(13(a,1),10693(a,1,1,2,1)),flip(a)]. 10695 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(28(a,2),10694(a,1,2,1)),flip(a)]. 10696 L(x * (x \ K(y,z \ 1)),u,w) = K(y,L(z,u,w) \ 1). [para(14(a,2),10695(a,1,1))]. 10697 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(59(a,1),10695(a,1,1,2)),flip(a)]. 10698 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [para(10695(a,1),89(a,1,2))]. 10699 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3596(a,1),10695(a,1,1)),flip(a)]. 10700 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [para(10695(a,1),8162(a,1))]. 10701 K(x,L(T(y \ 1,z),u,w) \ 1) = L(T(K(x,y),z),u,w). [para(8703(a,1),10695(a,1,1)),flip(a)]. 10702 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [para(10700(a,1),5200(a,2,2))]. 10703 R(x,L(K(x,y),z,u),w) = x. [para(10697(a,1),4426(a,1,2))]. 10704 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(10697(a,1),8053(a,1,1,2))]. 10705 K(x,(y * L(K(x,z),u,w)) \ v5) = K(x,y \ v5). [para(10697(a,1),8078(a,1,2,1,2))]. 10706 K(x * L(K(y,z),u,w),y) = K(x,y). [para(10697(a,1),8570(a,1,1,2))]. 10707 K(x,y * (z * L(K(x,u),w,v5))) = K(x,y * z). [para(10697(a,1),8660(a,1,2,2,2))]. 10708 (x * L(K(x,y),z,u)) * w = x * (L(K(x,y),z,u) * w). [para(10703(a,1),100(a,1,1)),flip(a)]. 10709 K(x * (y * K(z,u)),z) = K(x * y,z). [para(89(a,1),10706(a,1,1))]. 10710 K(x * ((y * z) / y),z) = K(x * z,z). [para(5163(a,1),10709(a,1,1,2)),flip(a)]. 10711 K(x * (y * K(z,u)),u) = K(x * y,u). [para(7770(a,1),10709(a,1,1,2)),flip(a)]. 10712 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(7804(a,1),10709(a,1,1,2))]. 10713 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7967(a,1),10709(a,1,1,2))]. 10715 K(x * ((y * z) / y),z) = K(z * x,z). [para(10710(a,2),5920(a,1))]. 10716 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(5791(a,1),10711(a,1,1,2))]. 10717 K(x,T(y * (z * K(u,x)),w)) = ((w * x) / w) / ((w * (x * K(y * z,x))) / w). [para(10711(a,1),9578(a,1,2,1,2,2)),flip(a)]. 10718 K(x * L(y,z,y),y) = K(x * ((z * y) / z),y). [para(9613(a,1),10711(a,1,1,2)),flip(a)]. 10719 K(x * (K(y,z) * u),z) = K(x * u,z). [para(5352(a,1),10713(a,1,1,2)),flip(a)]. 10721 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(10713(a,1),5781(a,1,2,1,2)),flip(a)]. 10722 K(x * (K(y,z) * u),y) = K(x * (u * K(y,w)),y). [para(10713(a,2),10709(a,2)),flip(a)]. 10723 K(x * (y / (z * y)),z \ 1) = K(x * ((z * y) \ y),z \ 1). [para(5980(a,1),10719(a,1,1,2))]. 10724 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(10704(a,1),5776(a,1,1,1,2)),flip(a)]. 10725 K(x \ K(L(y,z,u),w),y) = K(x \ 1,y). [para(7048(a,1),10704(a,1,1,2))]. 10726 K(x \ K(L(y,z,u),w),T(y,v5)) = K(x \ 1,T(y,v5)). [para(8752(a,1),10725(a,1,1,2))]. 10727 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [para(10699(a,1),6337(a,1)),flip(a)]. 10728 L(K(x,y),z,u) / (1 / x) = 1 / (L(K(y,x),z,u) / x). [para(10699(a,1),6339(a,1,1))]. 10729 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(10699(a,1),10695(a,1,1)),flip(a)]. 10730 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [para(10727(a,1),57(a,1,2))]. 10731 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(10727(a,1),6352(a,1,1))]. 10732 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(10727(a,1),7052(a,2))]. 10733 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(10727(a,1),8153(a,2))]. 10734 K(x,T(L(1 / y,z,u) \ 1,w)) = L(K(x,T(y,w)),z,u). [para(10727(a,1),9842(a,2))]. 10735 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [para(10727(a,1),10267(a,1,2))]. 10736 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(15(a,1),10732(a,1,2,2)),flip(a)]. 10737 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(57(a,1),10732(a,1,2,2)),flip(a)]. 10738 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(93(a,1),10732(a,1,2))]. 10739 L(K(x,y),z,K(y,u)) = K(x,y). [para(7427(a,1),10732(a,1,2)),flip(a)]. 10740 L(K(x,y),z,R(K(y,u),w,v5)) = K(x,y). [para(7435(a,1),10732(a,1,2)),flip(a)]. 10741 L(K(x,y),z,K(u,y)) = K(x,y). [para(7449(a,1),10732(a,1,2)),flip(a)]. 10742 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [para(10732(a,1),8753(a,1))]. 10743 L(K(x,y),z,y) = K(x,y). [para(10732(a,1),9121(a,1))]. 10744 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [para(10732(a,1),10517(a,1))]. 10749 K(L(x,y,z),z) = K(x,z). [para(10743(a,1),7048(a,1)),flip(a)]. 10750 K((x \ y) \ z,x) = K(y \ (x * z),x). [para(10743(a,1),7056(a,1))]. 10751 K((x * y) \ z,x) = K(y \ (x \ z),x). [para(10743(a,1),7054(a,1)),flip(a)]. 10752 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(45(a,1),10749(a,1,1))]. 10753 T(x,L(y,z,x)) = 1 / (x \ K(y,x)). [para(10749(a,1),5197(a,2,2,2))]. 10754 K(R(x,y,z),L(u,w,x)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(10749(a,1),5780(a,1,1,1,2)),flip(a)]. 10755 K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). [para(10749(a,1),5781(a,1,2,1,2)),flip(a)]. 10756 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(10749(a,1),8780(a,1,1,2)),flip(a)]. 10757 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [para(10739(a,1),89(a,1,2))]. 10758 (K(x,y) * z) * R(K(u,x),w,v5) = K(x,y) * (z * R(K(u,x),w,v5)). [para(10739(a,1),312(a,1,2,1))]. 10761 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(10741(a,1),89(a,1,2))]. 10762 K(L(x,y,K(z,u)),u) = K(x,u). [para(10741(a,1),7048(a,1)),flip(a)]. 10763 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(10762(a,1),5195(a,2,1,1))]. 10764 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(10762(a,1),8052(a,1)),flip(a)]. 10765 (x * y) * K(z,T(x,u)) = x * (y * K(z,T(x,u))). [para(10744(a,1),89(a,1,2))]. 10766 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [para(10744(a,1),7056(a,1))]. 10767 K((x * y) \ z,T(x,u)) = K(y \ (x \ z),T(x,u)). [para(10744(a,1),7054(a,1)),flip(a)]. 10768 T(x,L(y,z,x)) = T(x,y). [para(10753(a,2),5197(a,2)),flip(a)]. 10769 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(171(a,1),10768(a,1,2))]. 10770 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(316(a,1),10768(a,1,2)),flip(a)]. 10771 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (z * x)). [para(589(a,1),10768(a,1,2)),flip(a)]. 10772 K(L(x,y * z,u) \ 1,z) = K(x \ 1,L(z,y,u)). [para(10736(a,1),6325(a,1)),flip(a)]. 10773 K(x,L(y,z,K(x,u))) = K(x,y). [para(10736(a,1),7436(a,1))]. 10774 K(x,L(y,z,K(u,x))) = K(x,y). [para(10736(a,1),7458(a,1))]. 10775 K(x,L(y,z,x)) = K(x,y). [para(10736(a,1),8976(a,1))]. 10776 K(L(x,y,z),y) = K(x,L(y,x,z)). [para(10736(a,1),9421(a,1)),flip(a)]. 10777 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [para(10736(a,1),9428(a,2))]. 10778 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(45(a,1),10775(a,1,2))]. 10779 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [para(171(a,1),10775(a,1,2))]. 10780 K(x,(x \ 1) \ y) = K(x,x * y). [para(323(a,1),10775(a,1,2)),flip(a)]. 10781 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [para(316(a,1),10775(a,1,2)),flip(a)]. 10782 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(490(a,1),10775(a,1,2)),flip(a)]. 10783 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(10775(a,1),7048(a,1,1)),flip(a)]. 10784 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(10773(a,1),8435(a,1,2)),flip(a)]. 10785 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(45(a,1),10774(a,1,2))]. 10786 L(L(K(x,y),z,u),w,R(K(y,v5),v6,v7)) = L(K(x,y),z,u). [para(10740(a,1),45(a,1,1)),flip(a)]. 10787 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(14(a,1),10750(a,2,1,2))]. 10788 L(K(x \ (y * (z \ u)),y),z \ u,z) = K((z * (y \ x)) \ u,y). [para(10750(a,1),7054(a,1,1))]. 10789 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,1 / ((y * x) \ y)). [para(1667(a,1),10751(a,1,1,1)),flip(a)]. 10790 T(T(x * K(y \ (x \ z),x),u),w) \ T(T(x,u),w) = K(T(T(x,u),w),(x * y) \ z). [para(10751(a,1),5859(a,1,1,1,1,2))]. 10791 K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). [para(10751(a,1),9523(a,1,1,1,2))]. 10792 K(x \ (y * K(z,y)),y) = K(x \ y,y). [para(3159(a,1),10764(a,1,1,2))]. 10793 K(x \ (y * z),z) = K(x \ (z * y),z). [para(5134(a,1),10764(a,1,1,2))]. 10794 K(x \ (K(y,z) * u),y) = K(x \ u,y). [para(5352(a,1),10764(a,1,1,2)),flip(a)]. 10795 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(5138(a,1),10764(a,1,1,2))]. 10796 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(5534(a,1),10764(a,1,1,2))]. 10798 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(5797(a,1),10764(a,1,1,2))]. 10799 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5980(a,1),10764(a,1,1,2))]. 10802 T(x,(x \ y) \ (x \ z)) = T(x,y \ z). [para(14(a,1),10769(a,1,2,1)),flip(a)]. 10803 T(x,y \ (x \ 1)) / (x * y) = x * ((x / (x * y)) / x). [para(10769(a,1),3998(a,1,1))]. 10804 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ z)) = T(1 / x,(y * ((1 / x) / y)) \ z). [para(7245(a,1),10769(a,1,2,1)),flip(a)]. 10805 K(x * y,T(x,y \ (x \ z))) = K(x * y,T(x,z)). [para(10769(a,1),8941(a,1,2))]. 10806 T(x,(y / x) \ z) = T(x,y \ (x * z)). [para(10770(a,1),7405(a,2))]. 10807 T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). [para(10770(a,1),9250(a,2))]. 10808 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(10779(a,1),6579(a,2,2))]. 10809 K(x,y \ (x \ 1)) = K(x,x \ (y \ 1)). [para(10779(a,1),7296(a,1))]. 10810 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [para(10779(a,1),8946(a,2))]. 10811 L(K(x,y \ (x \ 1)),z,u) = K(x,L(x * y,z,u) \ 1). [para(10779(a,1),10695(a,1,1))]. 10812 K(x,(y / x) \ z) = K(x,y \ (x * z)). [para(10781(a,1),7424(a,2))]. 10813 K(x,T(y * x,x \ 1) \ (x * z)) = K(x,(((x \ 1) \ y) * (x \ 1)) \ z). [para(10781(a,1),7425(a,1))]. 10814 K((x \ y) \ z,x) = K(y \ (z * x),x). [para(10787(a,1),7933(a,1)),flip(a)]. 10815 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(5221(a,1),10792(a,1,1,2))]. 10816 K(x * K(y \ (x * z),x),u) = K(x,T(u,y \ (z * x))). [para(10793(a,1),8780(a,1,1,2))]. 10817 ((x * y) / x) / ((x * (y * K(z \ (y * u),y))) / x) = K(y,T(z \ (u * y),x)). [para(10793(a,1),9578(a,1,2,1,2,2))]. 10818 K((x / y) \ z,T(z,y)) = K(x \ (y * z),z). [para(10793(a,2),9703(a,2))]. 10819 K(x \ (T(y,z) * (y \ u)),y) = K(x \ u,y). [para(5175(a,2),10794(a,1,1,2))]. 10820 K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). [para(5279(a,1),10794(a,1,1,2)),flip(a)]. 10821 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(8747(a,1),10794(a,1,1,2,1))]. 10822 K(((x \ y) \ z) \ x,x) = K(z \ y,x). [para(10795(a,1),9436(a,2))]. 10823 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2490(a,1),10806(a,1,2,1)),flip(a)]. 10824 K(x,(y \ 1) \ (x \ 1)) = K(x,x \ y). [para(10809(a,2),7226(a,1))]. 10825 (x \ (1 / y)) * K(x,y \ (x \ 1)) = (1 / y) / x. [para(10809(a,2),7244(a,1,2))]. 10826 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [para(10809(a,2),7294(a,2))]. 10827 K((x / y) \ z,y) = K(x \ (z * y),y). [para(10814(a,1),7920(a,2))]. 10828 K(x,R((y \ 1) * x,z,u) \ 1) = R(K(x,x \ y),z,u). [para(10824(a,1),7073(a,1,1)),flip(a)]. 10829 K(x \ (y * (z \ x)),z \ x) = K(z \ y,z \ x). [para(57(a,1),10827(a,1,1,1)),flip(a)]. 10830 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [para(10756(a,2),8780(a,1))]. 10831 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(316(a,1),10830(a,1,2,2)),flip(a)]. 10832 K(x,T(x * y,y * z)) = K(x,T(x * y,z)). [para(10830(a,1),8947(a,1)),flip(a)]. 10833 T(x,L(y,z,K(u,x))) = T(x,y). [para(10763(a,2),5195(a,2)),flip(a)]. 10834 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(91(a,1),10833(a,1,2))]. 10835 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(4251(a,1),10712(a,1,1,2)),flip(a)]. 10836 K(x * ((y * z) \ z),y) = K(x * ((z * y) \ z),y). [para(6688(a,1),10716(a,1,1,2))]. 10837 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(67,a,10731,a)]. 10838 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [para(10731(a,2),2122(a,1))]. 10839 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(10733(a,1),57(a,1,2))]. 10840 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(89(a,1),10733(a,1,1))]. 10841 (((x \ y) \ y) * L(K(z,u),w,v5)) \ T(x,x \ y) = L(K(u,z),w,v5). [para(193(a,1),10733(a,1,1))]. 10842 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(10736(a,1),10735(a,1,2)),flip(a)]. 10843 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(91(a,1),10737(a,2,2))]. 10844 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(171(a,1),10737(a,2,2))]. 10845 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(316(a,1),10737(a,2,2))]. 10846 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(3787(a,1),10737(a,2,2))]. 10847 K(x,L(y \ x,y,z)) = K(x,y \ x). [para(10737(a,1),6472(a,1))]. 10848 K(x,(y * z) \ (y * x)) = K(x,z \ x). [para(91(a,1),10847(a,1,2))]. 10849 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(316(a,1),10847(a,1,2)),flip(a)]. 10850 K(x,L((y \ z) \ x,z / y,y)) = K(x,(y \ z) \ x). [para(4726(a,1),10847(a,1,2))]. 10851 K(((1 / (x \ y)) * z) * (x \ y),(1 / (x \ y)) * z) = K(z,y \ (x * z)). [para(10849(a,1),6720(a,2))]. 10852 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(134(a,1),10798(a,1,1)),flip(a)]. 10853 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,y \ x)). [para(57(a,1),10818(a,1,1,1)),flip(a)]. 10854 K((x / y) \ z,T(z,y)) = K((y \ x) \ z,z). [para(10818(a,2),9436(a,2)),flip(a)]. 10855 K(T(x,y),z \ (T(x,u) * (x \ w))) = T(x * K(z \ w,x),y) \ T(x,y). [para(10819(a,1),5678(a,1,1,1,2)),flip(a)]. 10856 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(10826(a,1),6921(a,2,2))]. 10857 K(x,T(x * y,y \ z)) = K(x,T(x * y,z)). [para(14(a,1),10832(a,1,2,2)),flip(a)]. 10858 K(x,T(y * x,y * z)) = K(x,T(x * y,z)). [para(10832(a,1),5743(a,2))]. 10860 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(10837(a,1),19(a,1)),flip(a)]. 10861 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [para(10839(a,1),117(a,1))]. 10862 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = L(K(z,y),u,w) * K(y,v5). [para(10839(a,1),9499(a,1,1))]. 10863 K(x / y,T((x / y) * y,z)) = K(x / y,T(x,y \ z)). [para(16(a,1),10857(a,1,2,1)),flip(a)]. 10864 K(x,T((y / z) * x,y)) = K(x,T(x * (y / z),z)). [para(16(a,1),10858(a,1,2,2))]. 10865 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [para(10702(a,2),5200(a,2)),flip(a)]. 10867 K(x * L(y,z,y),y) = K(y * x,y). [para(10718(a,2),10715(a,1))]. 10869 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(10736(a,1),10777(a,1,1))]. 10870 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [para(10869(a,1),7056(a,1))]. 10871 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [para(10783(a,2),7048(a,1))]. 10872 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(316(a,1),10871(a,1,2)),flip(a)]. 10873 (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). [para(7822(a,2),10840(a,1,1,2))]. 10874 L(K(x,y),z,L(y,u,w)) = K(x,y). [para(10840(a,1),9414(a,1))]. 10875 L(x,y,z) * ((L(x,y,z) \ u) * K(w,x)) = u * K(w,x). [para(10874(a,1),304(a,1,2)),flip(a)]. 10876 K(L(x,y,L(z,u,w)),z) = K(x,z). [para(10874(a,1),7048(a,1)),flip(a)]. 10877 K((L(x,y,z) \ u) \ w,x) = K(u \ (L(x,y,z) * w),x). [para(10874(a,1),7056(a,1))]. 10878 K(x,L(y,z,L(y,u,w))) = K(x,y). [para(10874(a,1),10736(a,1)),flip(a)]. 10879 K((L(x,y,z) \ 1) \ u,x) = K(L(x,y,z) * u,x). [para(323(a,1),10876(a,1,1)),flip(a)]. 10880 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(4368(a,1),10876(a,1,1))]. 10881 R(K(x,y),L(y,z,u),w) = K(x,y). [para(10878(a,1),10565(a,1,1))]. 10882 R(K(x,y),L(x,z,u),w) = v5 / (K(y,x) * v5). [para(10881(a,1),6957(a,1,2,1)),flip(a)]. 10883 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [para(10881(a,1),7098(a,1)),flip(a)]. 10884 K(L(x,y,z) * (u \ 1),x) = K(u \ L(x,y,z),x). [para(10881(a,1),9997(a,1)),flip(a)]. 10886 R(K(x,y),L(x,z,u),w) = K(x,y). [para(10882(a,2),5438(a,1))]. 10887 K(x,(L(x,y,z) * u) / w) = K(x,(w / u) \ L(x,y,z)). [para(10886(a,1),6969(a,1)),flip(a)]. 10888 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7484(a,1),10843(a,1,1)),flip(a)]. 10889 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(10845(a,1),89(a,1,2))]. 10890 K(x,(y \ z) \ R(x,u,w)) = K(x,z \ (y * R(x,u,w))). [para(10845(a,1),7687(a,1)),flip(a)]. 10891 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (R(x,y,z) * w)). [para(10845(a,1),9417(a,1)),flip(a)]. 10892 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [para(10845(a,1),9421(a,1)),flip(a)]. 10893 L(K(x,y),K(z,y),u) = K(x,y). [hyper(9506,a,10861,a),flip(a)]. 10894 K((x * (y * K(z,u))) \ w,z) = K((x * y) \ w,z). [para(10861(a,1),8048(a,1,1,1)),flip(a)]. 10895 L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). [para(10861(a,1),8545(a,1,1)),flip(a)]. 10896 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(10861(a,1),10705(a,1,2,1)),flip(a)]. 10897 (x * K(y,z)) * K(u,z) = x * (K(y,z) * K(u,z)). [para(10893(a,1),89(a,1,2))]. 10898 (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). [para(10893(a,1),7810(a,1,2)),flip(a)]. 10899 (x \ K(x,y * (K(x,z) * u))) * T((x \ 1) \ K(y * (u * K(x,w)),x),v5) = K(x,T(v5,y * (K(x,z) * u))). [para(10722(a,1),9222(a,1,2,1,2))]. 10900 T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). [para(10757(a,1),703(a,1,1,2))]. 10901 K(x,y) * (z * K((u * w) / u,x)) = (K(x,y) * z) * K(w,T(x,u)). [para(8758(a,1),10757(a,1,2)),flip(a)]. 10902 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(10761(a,1),8504(a,1,2))]. 10903 R(x,y,K(z,T(x,u))) = x. [hyper(329,a,10765,a)]. 10904 R(x,y,K(z,x)) = x. [para(103(a,1),10903(a,1,3,2))]. 10906 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(10903(a,1),335(a,1,1,1)),flip(a)]. 10907 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(10904(a,1),334(a,1,1,1)),flip(a)]. 10908 (R(x,y,z) * u) * K(w,x) = R(x,y,z) * (u * K(w,x)). [para(10904(a,1),336(a,1,1,1)),flip(a)]. 10911 K(x \ (y * z),T(y,z)) = K(z / (y \ x),y). [para(10766(a,1),8795(a,1))]. 10912 K((x * y) / z,x) = K(y / (x \ z),x). [para(10911(a,1),8904(a,1)),flip(a)]. 10913 L(K(x \ (y \ 1),T(y,z)),u,w) = K(L(y * x,u,w) \ 1,T(y,z)). [para(10767(a,1),6325(a,1,1))]. 10914 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [para(10782(a,1),8576(a,1))]. 10915 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(10914(a,2),7979(a,1,1))]. 10916 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [para(10808(a,1),4991(a,1))]. 10917 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [para(10808(a,1),5002(a,1))]. 10918 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(10815(a,1),5780(a,1,1,1,2))]. 10919 R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). [para(10820(a,1),7100(a,1,1))]. 10920 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(5134(a,1),10821(a,1,1,2)),flip(a)]. 10922 K(x \ (T(y,z) \ u),T(y,w)) = K(x \ (y \ u),T(y,w)). [para(5521(a,1),10821(a,1,1,2)),flip(a)]. 10923 K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). [para(8551(a,1),10821(a,1,1,2))]. 10924 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [para(10821(a,1),8903(a,1))]. 10925 K((K(x,y) * z) / u,x) = K(z / u,x). [para(10924(a,1),8795(a,1))]. 10927 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(10925(a,1),7769(a,1,1,2)),flip(a)]. 10928 K((x * K(y,z)) / u,y) = K(x / u,y). [para(8551(a,1),10925(a,1,1,1))]. 10929 K((x * K(y,z)) / u,z) = K(x / u,z). [para(8746(a,1),10925(a,1,1,1)),flip(a)]. 10930 K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). [para(10925(a,1),9578(a,1,2,1,2,2)),flip(a)]. 10931 K((x * T(y,z)) / u,z) = K((x * y) / u,z). [para(7805(a,1),10928(a,1,1,1)),flip(a)]. 10932 K((x * L(K(y,z),u,w)) / v5,z) = K(x / v5,z). [para(6332(a,1),10929(a,1,1,1,2))]. 10933 K(x,(y * T(z,x)) / u) = (w * K((y * z) / u,x)) \ w. [para(10931(a,1),7769(a,1,1,2)),flip(a)]. 10934 K((x * (y * K(z,u))) / w,z) = K((x * y) / w,z). [para(10861(a,1),10932(a,1,1,1)),flip(a)]. 10935 (1 / x) / T(y,x \ (y \ 1)) = y \ (1 / x). [hyper(18,a,6423,a,b,10825,a),flip(a)]. 10936 (1 / x) * K(x \ (y \ 1),y) = (y \ (1 / x)) * y. [para(10935(a,1),7832(a,1,1)),flip(a)]. 10937 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,x \ z))). [para(696(a,1),10831(a,1,2,2)),flip(a)]. 10938 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [para(10834(a,1),8090(a,1)),flip(a)]. 10940 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(5134(a,1),10938(a,1,2,2))]. 10941 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(5138(a,1),10938(a,1,2,2))]. 10942 T(x,y \ (T(x,z) * u)) = T(x,y \ (x * u)). [para(5178(a,1),10938(a,1,2,2)),flip(a)]. 10943 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5721(a,1),10938(a,1,2,2))]. 10945 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(10940(a,1),5201(a,1,2,1))]. 10946 (K(x,y) / x) * T((y * x) / y,z \ (((y * x) / y) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(10940(a,1),9223(a,1,2))]. 10947 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [para(10940(a,2),10770(a,2))]. 10948 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(10947(a,2),8537(a,2,2))]. 10949 T(x / y,z \ ((x / y) * u)) = T(x / y,z \ ((y \ x) * u)). [para(106(a,1),10942(a,1,2,2,1)),flip(a)]. 10950 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [para(10842(a,1),10260(a,1)),flip(a)]. 10951 K((x * y) / x,T((z / u) * ((x * y) / x),z)) = K(y,T(T((z / u) * ((x * y) / x),u),x)). [para(10864(a,2),8859(a,1))]. 10952 T((x / y) * K(L(y,z,u) * (y \ x),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(10879(a,1),7942(a,1,1,2))]. 10953 K(((x * y) / x) \ L(z,u,w),z) = K(L(z,u,w) * (y \ K(y,x)),z). [para(5584(a,1),10884(a,1,1,2)),flip(a)]. 10955 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(82(a,1),10894(a,1,1,1,2)),flip(a)]. 10956 T(x,(y * (z * K(x,u))) \ w) = 1 / (x \ K((y * z) \ w,x)). [para(10894(a,1),5197(a,2,2,2))]. 10957 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(10896(a,1),9565(a,2))]. 10958 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [para(7762(a,1),10898(a,1,2))]. 10959 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(7153,a,10907,a)]. 10960 T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). [para(10907(a,1),7929(a,1))]. 10961 (T(x,y) * z) * L(K(u,x),w,v5) = T(x,y) * (z * L(K(u,x),w,v5)). [para(10959(a,1),313(a,1,2,1))]. 10962 K(L(x,y,T(z,u)),z) = K(x,z). [para(10959(a,1),7048(a,1)),flip(a)]. 10963 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [para(10959(a,1),7054(a,1)),flip(a)]. 10964 K((x * ((T(y,z) * x) \ u)) / x,y) = K((T(y,z) \ u) / x,y). [para(557(a,1),10962(a,1,1))]. 10965 x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. [para(10916(a,1),19(a,1))]. 10966 (x * (y * ((x \ z) / y))) \ z = K(x \ (y \ z),y). [para(10916(a,1),7769(a,1,1))]. 10967 K(x \ (y * (z * K(y,u))),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(6403(a,1),10920(a,1,1,2)),flip(a)]. 10968 K(x \ (((y \ 1) \ 1) * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(10920(a,2),6640(a,1))]. 10969 K(x,(K(x,y) * z) / u) = K(x,z / u). [para(10927(a,2),5351(a,1))]. 10970 K(x,(y * x) / z) = K(x,(x * y) / z). [para(5134(a,1),10969(a,1,2,1)),flip(a)]. 10971 K(x,((y / x) * z) / u) = K(x,((x \ y) * z) / u). [para(5553(a,1),10969(a,1,2,1))]. 10972 R(K(x,y / (z / u)),K(x,w) * y,u) = K(x,((K(x,w) * y) * u) / z). [para(10969(a,1),6967(a,1,1))]. 10973 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(9073(a,1),10969(a,1,2,1))]. 10974 K(x,(y * x) / L(y,z,u)) = K(x,(x / L(y,z,u)) * y). [para(1025(a,1),10970(a,2,2))]. 10975 x * K(x,(x * y) / z) = T(x,(y * x) / z). [para(10970(a,1),5200(a,2,2)),flip(a)]. 10977 T(x,(y * x) / z) = T(x,(x * y) / z). [para(10975(a,1),5200(a,2)),flip(a)]. 10978 K((x * (y * z)) / u,z) = K((x * (z * y)) / u,z). [para(82(a,1),10934(a,1,1,1,2)),flip(a)]. 10979 K((x * (K(y,z) * u)) / w,y) = K((x * u) / w,y). [para(7967(a,1),10934(a,1,1,1,2))]. 10980 K((x * (y * K(z,u))) / w,T(z,v5)) = K((x * y) / w,T(z,v5)). [para(8747(a,1),10934(a,1,1,1,2,2))]. 10981 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(17,a,6654,a,b,10936,a)]. 10982 K(x \ (((x \ 1) * y) \ 1),x) = K(y \ 1,x). [para(10981(a,1),6484(a,1))]. 10983 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [para(10981(a,1),10787(a,1))]. 10984 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1),x). [para(728(a,1),10983(a,1,1,2,1)),flip(a)]. 10985 T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). [para(10983(a,1),5197(a,2,2,2))]. 10986 T(x,x \ ((x \ y) \ z)) * K(u,T(x,(y / x) \ z)) = T(x * K(u,x),x \ ((y / x) \ z)). [para(10943(a,1),7487(a,1,1))]. 10987 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(10950(a,1),10268(a,1))]. 10988 K((x * (y * z)) \ ((x * (z * y)) * u),y) = K(u,y). [para(13(a,1),10955(a,1,1)),flip(a)]. 10989 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [para(10955(a,2),6668(a,1))]. 10991 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [para(10958(a,1),10897(a,2))]. 10992 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(7822(a,2),10960(a,1,2))]. 10993 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [para(10963(a,2),10796(a,1))]. 10994 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(10993(a,1),8449(a,2,2))]. 10995 K(T(x,y) \ (T(y,x) \ z),T(y,x)) = K(z / (T(y,u) * x),y). [para(10993(a,1),10082(a,1))]. 10997 ((x * (y * z)) * (u * (L(L(z \ 1,z,y),y * z,x) / u))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(271(a,2),10966(a,1,1,2,2,1))]. 10998 ((x * (y * ((x \ 1) / y))) * L(K(x \ (y \ 1),y),z,u)) * ((x * (y * ((x \ 1) / y))) \ w) = w * L(w \ ((x * (y * ((x \ 1) / y))) \ w),z,u). [para(10966(a,1),1014(a,1,1,2,1))]. 10999 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((x \ (x * (y * x))) * z) / ((u * y) * z)). [para(10971(a,1),9004(a,2))]. 11000 K((x * (T(y,x * z) * z)) / u,T(y,x * z)) = K((L(y,z,x) * (x * z)) / u,T(y,x * z)). [para(407(a,1),10978(a,1,1,1)),flip(a)]. 11001 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [para(10985(a,2),5197(a,2)),flip(a)]. 11002 T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). [para(13(a,1),11001(a,1,2,2,1)),flip(a)]. 11003 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(728(a,1),11001(a,1,2,2,1)),flip(a)]. 11004 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [para(11002(a,1),10769(a,1)),flip(a)]. 11005 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [para(11004(a,1),8055(a,1))]. 11006 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(9512,a,10991,a),flip(a)]. 11007 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [hyper(7786,a,10991,a),flip(a)]. 11008 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(10991(a,1),7811(a,1,1)),flip(a)]. 11009 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1106(a,1),10992(a,1,2)),flip(a)]. 11010 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1501(a,1),10992(a,1,2)),flip(a)]. 11011 R(x,K(y,z),K(u,y)) = x. [hyper(329,a,11006,a)]. 11012 ((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(3041(a,1),11006(a,1,1))]. 11016 ((x * K(y,z)) * K(z,u)) / z = (x * K(z,u)) / T(z,y). [para(11007(a,1),7812(a,1,1))]. 11017 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [para(10844(a,1),9229(a,1))]. 11018 L(K(x,y \ (x * (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(10781(a,1),10844(a,1,1))]. 11019 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [para(10846(a,2),7230(a,1))]. 11020 K(x,L((y \ z) \ x,z / y,y)) = K(x,z \ (y * x)). [para(10850(a,2),10849(a,1))]. 11021 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [para(10888(a,1),7489(a,1))]. 11022 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [para(10696(a,1),6150(a,1)),flip(a)]. 11023 L(T(K(x,y),z),u,w) \ v5 = L(T(K(y,x),z),u,w) * v5. [para(10701(a,1),6345(a,1,1)),flip(a)]. 11024 (1 / (L(K(x,y),z,u) / y)) * K(y * L(K(y,x),z,u),y \ 1) = y * L(K(y,x),z,u). [para(10728(a,1),6595(a,1,1))]. 11025 L(K(x,T(y \ 1,z)),u,w) = K(x,T(L(y,u,w) \ 1,z)). [para(57(a,1),10734(a,1,2,1,1,1)),flip(a)]. 11026 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(8747(a,1),10742(a,1,1)),flip(a)]. 11027 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(118(a,1),11026(a,1,2,2)),flip(a)]. 11028 L(K(x,y),z * K(y,u),w) = K(x,L(y,z / y,w)). [para(6434(a,1),11026(a,1,2,2)),flip(a)]. 11030 (x * (y * z)) \ (x * (z * y)) = K(z,L(y,z,x)). [para(11027(a,1),189(a,2))]. 11031 K(x * y,L(x,y,z)) = K(x * y,x). [para(11027(a,1),6472(a,1))]. 11034 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [para(11030(a,1),14(a,1,2))]. 11035 T(x,y * (z * x)) = T(x,y * (x * z)). [para(11034(a,1),8583(a,1,2)),flip(a)]. 11036 L(K(x,y),z * K(y,u),w) = L(K(x,y),z,w). [para(11028(a,2),10732(a,1))]. 11037 L(K(x,y),z / K(x,y),u) \ (u * z) = T(u * (z * K(y,x)),L(K(x,y),z,u)). [para(11036(a,1),8289(a,1,2)),flip(a)]. 11038 K(L(K(x,y),z * K(y,u),w),v5) = L(K(x,K(y,v5)),z,w). [para(11036(a,2),9322(a,2,1)),flip(a)]. 11039 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(11036(a,1),9912(a,1,2))]. 11040 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5452,a,11039,a)]. 11041 (K(x,y) / z) * (z * K(y,x)) = a(K(x,y) / z,z,K(x,y)). [para(11039(a,1),305(a,1)),flip(a)]. 11042 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [para(11039(a,1),2117(a,2))]. 11043 K(x,y) \ L(K(x,y),z,u) = a(u,z,K(y,x)). [para(11039(a,1),5336(a,2))]. 11044 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [para(11039(a,1),5174(a,1,2)),flip(a)]. 11045 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(11039(a,1),6931(a,1,1)),flip(a)]. 11046 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(7048(a,1),11039(a,1,2))]. 11047 (x * (y / x)) \ ((T(x,y) * (y / x)) * L(K(y,x),z,u)) = a(u,z,K(x,y)). [para(11039(a,1),8244(a,2))]. 11048 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * (z * L(K(v5,x),w,u))). [para(11039(a,1),9266(a,1,2,2,2))]. 11049 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [para(11039(a,1),9899(a,2))]. 11050 a(x,y * K(z,u),K(z,u)) = a(x,y,K(z,u)). [para(11039(a,1),9912(a,1))]. 11051 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(11039(a,1),10644(a,2,1))]. 11052 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(10695(a,1),11039(a,1,2))]. 11054 T(K(x,y),z) * a(u,w,K(y,x * K(x \ 1,z))) = L(K(x * K(x \ 1,z),y),w,u). [para(8722(a,1),11040(a,1,1))]. 11055 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(10860,a,11042,a)]. 11057 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(10736(a,1),11042(a,1,1))]. 11058 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [para(11042(a,1),10731(a,2))]. 11059 a(x,K(y,z) * u,T(K(y,z),u)) = a(x,u,K(y,z)). [para(11050(a,1),9920(a,2))]. 11060 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(7075(a,1),11055(a,1,1))]. 11061 T(x * L(K(y,x),z,u),y) = x * a(u,z,K(x,y)). [para(11044(a,1),6889(a,2))]. 11062 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(11046(a,1),5124(a,2,2))]. 11063 a(x,(y / T(z,u)) * z,K(z,w)) = L(K(w,z),y,x) * K(z,w). [para(11026(a,1),11057(a,1,1)),flip(a)]. 11064 (x * K(y * L(K(z,y),u,w),z)) * (y * L(K(z,y),u,w)) = x * (y * a(w,u,K(y,z))). [para(11061(a,1),6403(a,2,2))]. 11065 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) / (y * ((1 / x) / y)) = (1 / x) * (((1 / x) / ((1 / x) * K(y,y \ (x \ 1)))) / (1 / x)). [para(7245(a,1),10803(a,1,2))]. 11066 K(1 / x,L((1 / x) * y,z,u) \ 1) = L(K(1 / x,y \ x),z,u). [para(59(a,1),10811(a,1,1,2,2)),flip(a)]. 11067 K(x,L(x * (y \ z),x \ 1,y) \ 1) = K(x,z \ (y * (x \ 1))). [para(10811(a,1),10845(a,1))]. 11068 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ (x * u))). [para(10816(a,1),8780(a,1))]. 11069 K(x,y) * (L(K(x,z),u,w) \ 1) = L(K(x,z),u,w) \ K(x,y). [para(10727(a,2),10838(a,2,2)),flip(a)]. 11070 K(x / y,T((x / y) * y,z)) = K(y \ x,T(x,y \ z)). [para(10863(a,2),5974(a,1))]. 11071 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(6476(a,2),10872(a,2,2,2)),flip(a)]. 11072 K((L(x,y,z) \ x) \ u,x) = K(L(x,y,z) * (x \ u),x). [para(852(a,1),10877(a,2,1))]. 11073 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [para(10883(a,2),8899(a,1))]. 11074 K(x,((y * (1 / (1 / (y \ z)))) / u) \ L(x,w,v5)) = K(x,(L(x,w,v5) * u) / z). [para(10887(a,1),7256(a,1))]. 11075 K(x,((L(x,y,z) * (u * w)) / u) \ L(x,y,z)) = K(x,T(L(w,u,L(x,y,z)) \ 1,u)). [para(10887(a,1),9773(a,1))]. 11077 L(K(x,y),z,R(y,u,w)) = K(x,y). [hyper(7153,a,10908,a)]. 11078 K(x,L(y,z,R(y,u,w))) = K(x,y). [para(11077(a,1),10736(a,1)),flip(a)]. 11079 K(T(x,R(y,z,u) * w),y) = K(T(x,w),y). [para(11078(a,1),9616(a,1))]. 11080 K(T(T(x / (x / y),z),x),u) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [para(11079(a,1),10421(a,1))]. 11082 K(x,(y * T(z,x)) / u) = K(x,(y * z) / u). [para(10933(a,2),5351(a,1))]. 11083 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K(x,((x \ 1) * y) / z). [para(11082(a,1),10531(a,2))]. 11084 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [para(10994(a,2),8449(a,1))]. 11085 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [para(11008(a,1),9445(a,1)),flip(a)]. 11086 ((x * K(y,z)) / z) * K(z,u) = (x * K(z,u)) / T(z,y). [para(11016(a,1),6458(a,1)),flip(a)]. 11087 L(T(K(x,y),z),z,z \ 1) * u = ((1 / z) * (K(y,x) * z)) \ u. [para(2639(a,1),11023(a,1,1)),flip(a)]. 11088 K(x,T(L(y,z,L(x,u,w)) \ 1,v5)) = K(x,T(y \ 1,v5)). [para(11025(a,1),9413(a,1))]. 11089 K(L(K(x,y),z * K(y,u),w),v5) = K(L(K(y,x),z,w) \ 1,v5). [para(11038(a,2),8429(a,2)),flip(a)]. 11090 K(L(K(x,y),z * K(y,u),w),v5) = K(x,K(v5,L(y,z,w))). [para(11038(a,2),10257(a,1))]. 11091 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(10837(a,1),11045(a,1,2)),flip(a)]. 11092 K(x \ y,T(y,x \ z)) = K(y / x,T(y,z)). [para(16(a,1),11070(a,1,2,1)),flip(a)]. 11093 K(x \ y,T(y,x \ z)) = K(x \ y,T(y,z)). [para(11092(a,2),5974(a,1))]. 11094 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,x)). [para(11093(a,1),10853(a,2))]. 11095 K(x \ (y \ z),T(y \ z,z)) = K(y \ (x \ z),y \ z). [para(11094(a,1),10829(a,1))]. 11096 T(x,y) \ T(x * K((z / u) \ L(x,w,v5),x),y) = K((L(x,w,v5) * u) / z,T(x,y)). [para(11073(a,1),5679(a,1,2,1,2))]. 11097 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [para(11085(a,2),9461(a,1))]. 11098 (x * K(y,z)) / T(y,u) = (x / T(y,u)) * K(y,z). [para(7812(a,1),11086(a,1,1)),flip(a)]. 11099 x / (T(y,z) * K(u,y)) = (x / T(y,z)) * K(y,u). [para(11098(a,1),9451(a,1)),flip(a)]. 11100 (x / y) * (K(y,z) * K(u,y)) = x / (T(y,u) * K(z,y)). [para(11099(a,2),9510(a,2))]. 11101 a(x,y,K(z,u)) \ (K(z,u) * w) = L(K(z,u),y,x) * w. [hyper(68,a,11091,a)]. 11102 K(x \ (y \ z),x \ z) = K(y \ (x \ z),z / x). [para(11095(a,1),8576(a,1))]. 11103 (x \ y) \ K(z \ (x \ y),y / x) = T(x \ y,x \ (z \ y)) \ 1. [para(11102(a,1),5151(a,2,2)),flip(a)]. 11104 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(3164(a,2),11097(a,2,2))]. 11105 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [para(5644(a,1),11100(a,2,2))]. 11106 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [para(5352(a,1),11101(a,1,2)),flip(a)]. 11107 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(y,x)) \ w. [para(11106(a,1),7648(a,1)),flip(a)]. 11108 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [para(11107(a,1),11045(a,1))]. 11109 a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) = w. [hyper(67,a,11108,a)]. 11110 a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = w. [para(11109(a,1),19(a,1)),flip(a)]. 11111 T(x,L(y,x,z) \ 1) = x * K(x,y \ 1). [hyper(6438,a,10698,a)]. 11112 T(x,L(y,x,z) \ 1) = T(x,y \ 1). [para(11111(a,2),5200(a,2)),flip(a)]. 11113 T(x,L(y \ 1,x * y,z)) = T(x,L(y,x,z) \ 1). [para(10771(a,2),8057(a,1))]. 11114 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (x * z)). [para(10771(a,2),10940(a,1))]. 11115 T(x,L(y \ 1,x * y,z)) = T(x,y \ 1). [para(11113(a,2),11112(a,1))]. 11117 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [para(10823(a,2),5022(a,1))]. 11118 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(10852(a,1),8418(a,1,1)),flip(a)]. 11119 K(x * (y \ T(y * z,y)),L(K(y,y * z),z,x)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(10873(a,1),5550(a,1,1,2))]. 11120 (x * (y \ T(y * T(z,y),y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(7622(a,1),10873(a,2,1))]. 11121 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(308(a,1),10892(a,2,2))]. 11122 a(K(x,y) / z,z,K(x,y)) * (1 / (z * K(y,x))) = K(x,y) / z. [para(11041(a,1),8221(a,1,1))]. 11123 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(11049(a,2),5376(a,2))]. 11124 T(x,(y * (x * z)) \ (x * y)) = T(x,z \ 1). [para(11114(a,1),11115(a,1))]. 11125 T(x,((x \ y) * (x * z)) \ y) = T(x,z \ 1). [para(14(a,1),11124(a,1,2,2))]. 11127 T(x,((x \ y) * z) \ y) = T(x,(x \ z) \ 1). [para(14(a,1),11125(a,1,2,1,2))]. 11128 T(x,((x \ y) * z) \ y) = T(x,z \ x). [para(11127(a,2),3987(a,1))]. 11129 T(x,(y * z) \ (x * y)) = T(x,z \ x). [para(13(a,1),11128(a,1,2,1,1))]. 11130 T(x,(y * z) \ (y * x)) = T(x,z \ x). [para(11129(a,1),10940(a,2))]. 11131 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(14(a,1),11130(a,1,2,1)),flip(a)]. 11132 R(T(x,y),z,u) / R(T(T(x,w \ (v5 * x)),y),z,u) = K((v5 \ w) \ x,R(T(x,y),z,u)). [para(11131(a,1),5912(a,1,2,1,1))]. 11133 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(11131(a,1),8062(a,1,2))]. 11134 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(14(a,1),11133(a,1,2,2,2))]. 11135 K(x,T(y,(z * (u * y)) \ (z * u))) = K(x,T(y,a(z,u,y))). [para(24(a,2),11133(a,1,2,2)),flip(a)]. 11136 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(10941(a,1),11133(a,1,2)),flip(a)]. 11137 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(10947(a,2),11133(a,1,2))]. 11138 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [para(11136(a,1),10805(a,1))]. 11139 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [para(11137(a,2),8537(a,2))]. 11141 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [para(11138(a,2),6116(a,2)),flip(a)]. 11142 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [para(11141(a,1),6116(a,2))]. 11143 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(13(a,1),11142(a,1,2,2)),flip(a)]. 11144 R(K(x * y,T(y,z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(11143(a,1),10623(a,1,1))]. 11145 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [para(11134(a,2),10166(a,1))]. 11146 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(14(a,1),11117(a,1,2,2)),flip(a)]. 11147 K(x,T(y,L(y,z,u) \ 1)) = K(x,T(y,a(u,z,y))). [para(8057(a,1),11135(a,1,2))]. 11148 K(x,T(y,a(z,u,y))) = K(x,y). [para(11147(a,1),10156(a,1))]. 11149 T(x,T(y,a(z,u,y))) = x * K(x,y). [para(11148(a,1),5200(a,2,2))]. 11151 T(x,T(y,a(z,u,y))) = T(x,y). [para(11149(a,2),5200(a,2)),flip(a)]. 11152 (x * T(y,a(z,u,y))) / T(x,y) = T(y,a(z,u,y)). [para(11151(a,1),118(a,1,2))]. 11153 T(x,T(a(y,z,x),u)) = T(x,a(y,z,x)). [para(11152(a,1),9078(a,1)),flip(a)]. 11154 T(T(x,y),T(a(z,u,x),w)) = T(T(x,a(z,u,x)),y). [para(11153(a,1),38(a,1,1)),flip(a)]. 11155 K(x,a(y,z,x)) * T(x,u) = T(T(x,a(y,z,x)),u). [para(11154(a,1),8783(a,1)),flip(a)]. 11156 T(x,T(y,a(z,u,x))) = T(x,y). [hyper(17,a,8952,a,b,11155,a),flip(a)]. 11157 T(x,T(y,a(z,u,x))) = x * K(x,y). [para(11156(a,2),5200(a,1))]. 11158 K(x,T(y,a(z,u,x))) = K(x,y). [hyper(5247,a,11157,a)]. 11159 K(x,a(y,z,x) / u) = K(x,u \ a(y,z,x)). [para(11158(a,1),7485(a,1))]. 11160 K(x,y) * a(z,u,x) = a(z,u,x) * K(x,y). [para(11158(a,1),7967(a,1,2)),flip(a)]. 11161 T(a(x,y,z),K(z,u)) = a(x,y,z). [hyper(8071,a,11160,a)]. 11162 a(x \ 1,x / y,y) = a(x \ 1,y \ x,y). [para(11161(a,1),9841(a,1))]. 11163 a((x * y) \ 1,(x * y) / x,x) = a((x * y) \ 1,y,x). [para(13(a,1),11162(a,2,2))]. 11164 a(x \ 1,y \ x,y) / y = (1 / x) * (x / y). [para(11162(a,1),4153(a,1,1))]. 11166 (1 / (x * y)) * ((x * y) / x) = a((x * y) \ 1,y,x) / x. [para(13(a,1),11164(a,1,1,2)),flip(a)]. 11167 1 / L(x,y * K(x,y),(x * y) \ 1) = a((x * y) \ 1,y,x) / x. [para(11163(a,1),7716(a,1,1)),flip(a)]. 11168 K(R(x,y,z),L(u,w,x)) = K(R(x,y,z),u). [para(10754(a,2),5780(a,1))]. 11169 K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). [para(10755(a,2),5781(a,1))]. 11170 K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). [para(323(a,1),11169(a,1,1)),flip(a)]. 11171 K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). [para(11170(a,1),6615(a,1))]. 11172 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [para(10799(a,1),9792(a,2))]. 11173 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(429(a,1),10835(a,1,1,2,1)),flip(a)]. 11174 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(10965,a,10856,a)]. 11175 K(x,(y \ z) \ (x \ 1)) = K(x,z \ (x \ y)). [para(14(a,1),11174(a,1,2,1)),flip(a)]. 11176 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(11174(a,1),7769(a,1,1,2)),flip(a)]. 11177 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,(z \ y) \ x). [para(59(a,1),11175(a,1,2,2)),flip(a)]. 11178 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ ((x \ 1) \ u)),y,z). [para(11175(a,1),6325(a,1,1)),flip(a)]. 11179 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,(y \ z) \ (x \ 1)). [para(6728(a,1),11175(a,1,2,1)),flip(a)]. 11180 K(x,(x * (y \ z)) \ 1) = K(x,z \ (x \ y)). [para(11175(a,1),10779(a,2))]. 11181 K(x,L(x * (y \ z),x \ 1,u) \ 1) = K(x,z \ (x \ y)). [para(11180(a,1),10700(a,2))]. 11182 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [para(11176(a,2),5351(a,1))]. 11183 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(14(a,1),11182(a,1,1,1)),flip(a)]. 11184 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z,y,x) \ (u \ 1),u). [para(89(a,1),11182(a,1,1,1))]. 11185 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(11183(a,1),5197(a,2,2,2)),flip(a)]. 11186 K((x * (y \ z)) \ 1,x) = K(z \ (x \ y),x). [para(11183(a,1),7062(a,2))]. 11187 K(L(x * (y \ z),x \ 1,u) \ 1,x) = K(z \ (x \ y),x). [para(11186(a,1),7020(a,2))]. 11188 K(1 / x,y \ ((1 / x) \ z)) = K(x \ 1,(z \ y) \ x). [para(11177(a,2),3073(a,1))]. 11189 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [para(11185(a,1),5197(a,2)),flip(a)]. 11190 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [para(11189(a,1),10769(a,2))]. 11191 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [para(11190(a,1),10865(a,2))]. 11192 K(T(x,y),(x \ z) \ u) = K(T(x,y),z \ (x * u)). [hyper(9230,a,10889,a)]. 11193 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(10889(a,1),19(a,1)),flip(a)]. 11194 x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). [para(48(a,1),10889(a,1,2,2)),flip(a)]. 11195 K(T(x,y),y \ (x * z)) = K(x,z / (x \ y)). [para(11192(a,1),8854(a,1))]. 11196 K(x,(x * y) / z) = K(x,y / (x \ z)). [para(11195(a,1),8757(a,1)),flip(a)]. 11197 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(14(a,1),11196(a,1,2,1)),flip(a)]. 11198 K(x,(y * x) / z) = K(x,y / (x \ z)). [para(11196(a,1),10970(a,2))]. 11199 K(x,(x \ y) / (z / x)) = K(x,y / z). [para(11197(a,1),8599(a,2))]. 11200 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [para(11198(a,1),10973(a,2))]. 11201 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(15(a,1),11199(a,1,2,2))]. 11202 x * K(x,y / (z * x)) = T(x,(x \ y) / z). [para(11201(a,1),5200(a,2,2)),flip(a)]. 11203 (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). [para(11201(a,1),7769(a,1,1,2))]. 11204 K(T(x,y),z \ (x \ y)) = K(x,y / (z * x)). [para(11201(a,1),8892(a,2))]. 11205 T(x,(x \ y) / z) = T(x,y / (z * x)). [para(11202(a,1),5200(a,2)),flip(a)]. 11206 T(x,(x \ y) / z) = T(x,y / (x * z)). [para(11205(a,2),9376(a,1))]. 11207 T(x,(x * y) / (x * z)) = T(x,y / z). [para(13(a,1),11206(a,1,2,1)),flip(a)]. 11208 T(x,(x * y) / z) = T(x,y / (x \ z)). [para(14(a,1),11207(a,1,2,2))]. 11209 T(x,(y * x) / z) = T(x,y / (x \ z)). [para(11208(a,1),10977(a,2))]. 11210 K(x,T(y \ (x \ z),z)) = K(x,z / (y * x)). [para(11204(a,1),8800(a,1)),flip(a)]. 11211 K(x,L(T(x \ y,z),x,z)) = K(x,(z * y) / (z * x)). [para(11210(a,1),9774(a,1)),flip(a)]. 11212 K((x \ y) / z,x) = K(y / (z * x),x). [para(11203(a,1),5351(a,1))]. 11213 K(x \ (y * z),(y \ 1) \ z) = K((y \ x) \ z,y * z). [hyper(7067,a,11194,a(flip))]. 11214 K((x \ y) \ (x \ z),x * (x \ z)) = K(y \ z,(x \ 1) \ (x \ z)). [para(14(a,1),11213(a,1,1,2)),flip(a)]. 11215 (x * K((y \ z) \ u,y * u)) \ x = K((y \ 1) \ u,z \ (y * u)). [para(11213(a,1),7769(a,1,1,2))]. 11216 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [para(10902(a,1),8631(a,1))]. 11217 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(6313,a,11216,a),flip(a)]. 11218 T(K(x,y) * z,K(y,u)) != K(x,y) * w | T(z,K(y,u)) = w. [para(11216(a,2),19(a,1))]. 11219 T(x * K(y,z),K(y,u)) \ T(x,K(y,u)) = K(z,y). [para(11217(a,2),7769(a,1,1))]. 11220 T(x * K(y,z * x),K(y,z)) = K(y,z * x) * x. [para(11217(a,2),9351(a,1))]. 11221 T(x * K(T(y,z),R(u,z,R(T(u,z),w,v5))),K(T(y,z),v6)) \ T(x,K(T(y,z),v6)) = K(u,T(y,R(u,w,v5) * z)). [para(11219(a,2),9761(a,1))]. 11222 (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(11220(a,1),4356(a,1,1)),flip(a)]. 11223 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(17,a,11139,a,b,10948,a)]. 11224 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(790(a,1),11223(a,1,2,2))]. 11225 T(x,(y * (z * K(x,u))) \ w) = T(x,(y * z) \ w). [para(10956(a,2),5197(a,2)),flip(a)]. 11226 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(82(a,1),11225(a,1,2,1,2)),flip(a)]. 11227 K((T(x,y) * z) \ u,T(x,z)) = K((T(x,y) \ u) / z,x). [para(10964(a,1),8758(a,1)),flip(a)]. 11228 K((T(x,y) \ z) / u,x) = K(z / (T(x,y) * u),x). [para(11227(a,1),9648(a,1))]. 11229 K((x * (y * T(z,u))) / w,T(z,v5)) = K((x * (y * z)) / w,T(z,v5)). [para(6409(a,1),10980(a,1,1,1,2))]. 11231 K(T(x,y) \ (y \ z),T(y,x)) = K(z / (T(y,u) * x),y). [para(10995(a,1),10922(a,1)),flip(a)]. 11232 K(x / (T(y,z) * u),y) = K((y \ x) / u,y). [para(11231(a,1),8848(a,1))]. 11234 K(x / (T(y,z) * u),y) = K(x / (u * y),y). [para(11232(a,2),11212(a,1))]. 11235 K((T(x,y) \ z) / u,x) = K(z / (u * x),x). [para(11234(a,1),11228(a,2))]. 11237 L(K(x,y),z,u) * K(y,L(L(x \ 1,z,u),w,v5) \ 1) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(6332(a,1),11052(a,1,1))]. 11238 a(x,(y / T(z,u)) * z,K(z,w)) = a(x,y,K(z,w)). [para(11063(a,2),11042(a,1))]. 11239 a(x,y * K(z,u),K(u,w)) = a(x,y,K(u,w)). [para(7832(a,1),11238(a,1,2))]. 11240 a(x,y * K(z,u),K(z,w)) = a(x,y,K(z,w)). [para(7770(a,1),11239(a,1,2)),flip(a)]. 11243 a(x,T(y,K(z,u)),K(z,w)) = a(x,y,K(z,w)). [para(8424(a,1),11240(a,1,2)),flip(a)]. 11245 a(x,y,T(K(z,u),y)) = a(x,y,K(z,u)). [para(11243(a,1),9619(a,1)),flip(a)]. 11247 K(x,K(y,z)) * (L(K(x,u),w,v5) \ K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [hyper(8494,a,11069,a)]. 11248 K(L(K(x,y \ 1),z * K(y \ 1,u),w),v5) = K(K(L(y,z,w) \ 1,x) \ 1,v5). [para(6325(a,1),11089(a,2,1,1))]. 11249 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). [para(423(a,1),11171(a,1,2)),flip(a)]. 11250 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,R(z,u,w) \ z)). [para(11224(a,2),10195(a,1))]. 11251 K(x / (y * z),x / z) = K(y \ (z \ x),x / z). [para(10919(a,1),4645(a,1))]. 11253 K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). [para(11251(a,1),8895(a,1)),flip(a)]. 11254 ((x \ y) \ K(z \ (x \ y),y / x)) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(11253(a,1),5628(a,1,1,2))]. 11255 (x * K(y \ (z \ u),u / z)) \ x = K(z \ u,(y * z) \ u). [para(11253(a,1),7769(a,1,1,2))]. 11256 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [para(11255(a,1),5351(a,1)),flip(a)]. 11257 K(x,y \ (z * (x \ 1))) = K(x,y \ (x \ z)). [para(11067(a,1),11181(a,1))]. 11259 ((1 / x) * (K(y,z) * x)) \ u = ((1 / x) * (K(z,y) * x)) * u. [para(2639(a,1),11087(a,1,1)),flip(a)]. 11260 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(11259(a,1),7280(a,1,2,2))]. 11261 a(K(x,y) / z,z,K(y,x)) * (K(x,y) / z) = 1 / (z * K(y,x)). [hyper(11110,a,11122,a)]. 11262 T((R(K(x,y),z,u) \ 1) * (R(K(x,y),z,u) * (K(y,w) * v5)),R(K(x,y),z,u)) = (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))). [para(10758(a,1),2145(a,2,2))]. 11263 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = R(K(x,u),w,v5) * (K(x,y) * (z * R(K(u,x),w,v5))). [para(10758(a,1),7958(a,2,2))]. 11264 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = K(y,v5) * L(K(z,y),u,w). [para(10862(a,2),2122(a,1))]. 11265 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(8758(a,1),10901(a,1,2,2)),flip(a)]. 11266 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(7153,a,10906,a)]. 11267 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [para(11266(a,1),11021(a,1)),flip(a)]. 11268 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),11267(a,1,2,2)),flip(a)]. 11269 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(11267(a,1),7991(a,1,2,2)),flip(a)]. 11270 K((L(x,y,z) * u) / w,T(x,u)) = K(w \ (L(x,y,z) * u),x). [para(11267(a,1),8818(a,1))]. 11272 K(x,T(y,z \ L(y,u,w))) = K(x,T(y,z)). [para(11268(a,1),10160(a,1)),flip(a)]. 11273 K(x \ ((y * z) * K(y,u)),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(8951(a,2),10967(a,1,1,2))]. 11274 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [para(11009(a,2),4325(a,1))]. 11275 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(13(a,1),11274(a,1,1,2,1)),flip(a)]. 11276 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [para(11010(a,2),4324(a,1))]. 11277 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * z). [para(11048(a,2),8659(a,1))]. 11279 K(1 / x,L((1 / x) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [para(11066(a,2),6331(a,1))]. 11280 K(T(x,y),R(z,u,R(T(z,u),w,v5))) = K(T((u / x) \ u,y),z). [para(11080(a,1),7541(a,1))]. 11282 K(T(x,y),R(z,u,R(T(z,u),w,v5))) = K(T(x,y),z). [para(59(a,1),11280(a,2,1,1))]. 11283 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,z \ (x \ y)). [para(11179(a,2),11175(a,1))]. 11284 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,y \ (x \ z)). [para(11283(a,1),9312(a,2))]. 11285 K(x \ y,(z \ 1) \ (z \ y)) = K((z \ x) \ (z \ y),y). [para(14(a,1),11214(a,1,2)),flip(a)]. 11286 K(x \ R(y,z,u),R((w \ 1) \ (w \ y),z,u)) = K((w \ x) \ (w \ R(y,z,u)),R(y,z,u)). [para(1555(a,2),11285(a,1,2))]. 11287 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(11215(a,1),5351(a,1))]. 11288 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(11287(a,1),10202(a,1,2)),flip(a)]. 11289 K((x * (T(y,z) * u)) / w,T(y,z)) = K((x * (u * y)) / w,T(y,z)). [para(11229(a,1),10978(a,1)),flip(a)]. 11290 K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * y),T(z,w)). [para(11273(a,1),10923(a,1))]. 11291 K(x \ (y * z),T(y,z)) = K((z * T(y,u)) / x,y). [para(11290(a,1),9674(a,1))]. 11293 K((x * T(y,z)) / u,y) = K(x / (y \ u),y). [para(11291(a,1),10911(a,1))]. 11295 K(1 / x,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [para(11279(a,1),7278(a,1)),flip(a)]. 11296 K(x \ 1,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [para(11295(a,1),3073(a,1)),flip(a)]. 11297 (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). [para(8257(a,1),10895(a,1,1)),flip(a)]. 11298 (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). [para(7973(a,2),11297(a,2,1))]. 11300 L(K(x,T(x * y,z * y)),y,z) = (z * y) / (z * (x \ T(x * y,x))). [para(7822(a,2),11298(a,1,2,2)),flip(a)]. 11301 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),u \ (x * w)). [para(10945(a,1),5201(a,1))]. 11302 R(K(x,y / (z / u)),y,u) = K(x,((K(x,w) * y) * u) / z). [para(10972(a,1),8228(a,1)),flip(a)]. 11303 K(x,((K(x,y) * z) * u) / w) = K(x,(z * u) / w). [para(11302(a,1),6967(a,1))]. 11305 K(x,(((y / x) \ z) * u) / w) = K(x,(((x \ y) \ z) * u) / w). [para(5828(a,1),11303(a,1,2,1,1)),flip(a)]. 11306 K(x,(((x \ y) \ 1) * y) / z) = K(x,z \ (((y / x) \ 1) * y)). [para(11305(a,1),8028(a,1))]. 11307 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(9993(a,1),10987(a,1,2))]. 11308 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [para(11118(a,2),8436(a,1))]. 11309 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [para(11308(a,1),8449(a,2))]. 11310 K(T(x,y),z \ (T(x,u) * (x \ w))) = K(T(x,y),z \ w). [para(10855(a,2),5678(a,1))]. 11311 K(T(x,y),z \ (T(x,u) \ w)) = K(T(x,y),z \ (x \ w)). [para(877(a,1),11310(a,1,2,2)),flip(a)]. 11312 K(T(x,y),z \ (u * K(x,w))) = K(T(x,y),z \ u). [para(8580(a,1),11310(a,1,2,2))]. 11313 K(T(x,y),z \ (u * (T(x,w) \ 1))) = K(T(x,y),z \ (u * (x \ 1))). [para(7800(a,1),11312(a,1,2,2)),flip(a)]. 11314 K(T(x,y),z \ (y * (T(x,u) \ 1))) = K(x,(y * (x \ 1)) / z). [para(11313(a,2),9673(a,1))]. 11315 K(T(x,y),z \ (T(x,y) \ y)) = K(x,(y * (x \ 1)) / z). [para(11314(a,1),11257(a,1)),flip(a)]. 11316 K(T(x,y),z \ (x \ y)) = K(x,(y * (x \ 1)) / z). [para(11315(a,1),11311(a,1)),flip(a)]. 11317 K(x,(y * (x \ 1)) / z) = K(x,y / (z * x)). [para(11316(a,1),11204(a,1))]. 11319 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(y * x) / z). [para(11317(a,1),7269(a,1))]. 11320 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,(y * x) / (z * x)). [para(154(a,1),11319(a,1,2,2))]. 11321 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(17,a,1353,a(flip),b,11022,a)]. 11323 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [para(11321(a,1),2349(a,2))]. 11324 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(11323(a,1),57(a,1,2)),flip(a)]. 11325 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(57(a,1),11323(a,1,1,1,2)),flip(a)]. 11326 L(1 / (1 / x),y,z) \ ((1 / x) \ 1) = x * (1 / L(x,y,z)). [para(11323(a,1),1545(a,2,2))]. 11328 L(1 / (1 / ((x \ 1) \ y)),x \ 1,x) = 1 / (1 / (x * y)). [para(323(a,1),11324(a,2,2,2))]. 11329 L(1 / (1 / (x \ y)),x,1 / x) = 1 / (1 / ((1 / x) * y)). [para(377(a,1),11324(a,2,2,2))]. 11330 L(1 / (1 / x),y / x,1 / y) = 1 / ((1 / y) * (y / x)). [para(453(a,1),11324(a,2,2))]. 11331 (x * y) * L(1 / (1 / (y \ z)),y,x) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [para(11324(a,2),3474(a,1,2))]. 11333 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(11325(a,1),59(a,1,1))]. 11334 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(57(a,1),11333(a,1,1,1,1)),flip(a)]. 11336 L(((x \ (y \ z)) \ 1) \ 1,x,y) = (((y * x) \ z) \ 1) \ 1. [para(171(a,1),11334(a,2,1,1))]. 11337 L(((x \ y) \ 1) \ 1,x,1 / x) = (((1 / x) * y) \ 1) \ 1. [para(377(a,1),11334(a,2,1,1))]. 11338 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(316(a,1),11334(a,2,1,1))]. 11340 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(11334(a,2),6776(a,2,2))]. 11341 (x \ 1) * (1 / (1 / ((x \ 1) \ y))) = x \ (1 / (1 / (x * y))). [para(11328(a,1),360(a,1,2)),flip(a)]. 11342 (1 / x) \ (1 / (1 / ((1 / x) * y))) = x * (1 / (1 / (x \ y))). [para(11329(a,1),369(a,1,2))]. 11343 (x * y) * ((((x * y) \ z) \ 1) \ 1) = x * (y * (((y \ (x \ z)) \ 1) \ 1)). [para(11336(a,1),89(a,1,2))]. 11344 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(11337(a,1),369(a,1,2))]. 11345 L(1 / (1 / x),y / x,1 / y) \ ((1 / x) \ 1) = x * ((1 / y) * (y / x)). [para(453(a,1),11326(a,2,2))]. 11346 x * K(x \ (y \ 1),(y \ 1) \ x) = y \ (1 / (1 / (y * x))). [para(11341(a,1),2013(a,2))]. 11347 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = y * K(x \ y,y \ x). [para(11344(a,2),2574(a,2)),flip(a)]. 11348 x * K(x \ (y \ 1),y * x) = y \ (1 / (1 / (y * x))). [para(6839(a,1),11346(a,1,2))]. 11349 (1 / (1 / (x * y))) / y = y \ (1 / (1 / (y * x))). [para(11346(a,1),7275(a,1)),flip(a)]. 11350 (1 / x) * (1 / (1 / ((1 / x) \ y))) = x \ (1 / (1 / (x * y))). [para(11349(a,1),3661(a,2))]. 11351 x \ (1 / (1 / (x * y))) != y * z | K(y \ (x \ 1),x * y) = z. [para(11348(a,1),19(a,1))]. 11353 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(1976(a,2),11338(a,1,1))]. 11354 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [para(11340(a,1),6832(a,1))]. 11355 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [para(11354(a,1),59(a,1,1))]. 11356 T(x * y,y \ (x \ 1)) = ((1 \ (x * y)) \ 1) \ 1. [para(11353(a,1),381(a,1)),flip(a)]. 11357 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [para(11353(a,1),490(a,1)),flip(a)]. 11358 T(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [para(48(a,1),11356(a,2,1,1))]. 11359 (x * y) * K(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [para(11358(a,1),5200(a,1)),flip(a)]. 11360 T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(24(a,2),11357(a,1,1))]. 11361 (x \ (y * z)) \ (((x \ (y * z)) \ 1) \ 1) = K(x \ (y * z),z \ (y \ x)). [para(11357(a,1),5169(a,2,2)),flip(a)]. 11362 K(x * y,(x * y) \ 1) = K(x * y,y \ (x \ 1)). [hyper(17,a,2064,a,b,11359,a),flip(a)]. 11363 K(x * y,y \ (x \ 1)) * (y * x) = (((x * y) \ 1) \ 1) * K(y,x). [para(11362(a,1),2660(a,1,1))]. 11364 K(x * y,(x * y) \ 1) * z = z * K(x * y,y \ (x \ 1)). [para(11362(a,1),2932(a,2,2))]. 11365 ((x / ((y * z) \ x)) \ 1) \ 1 = (u * K(y * z,z \ (y \ 1))) / ((y * z) \ u). [para(11362(a,1),3365(a,2,1,2))]. 11366 R(K(x * y,y \ (x \ 1)),z,u) = K(x * y,(x * y) \ 1). [para(11362(a,1),3824(a,1,1))]. 11367 (x * K(y * z,z \ (y \ 1))) * u = (x * u) * K(y * z,(y * z) \ 1). [para(11362(a,1),3837(a,1,1,2))]. 11368 R(K(x * y,y \ (x \ 1)),z,u) = K(x * y,y \ (x \ 1)). [para(11366(a,2),11362(a,1))]. 11369 K(x * y,y \ (x \ 1)) * z = z * K(x * y,y \ (x \ 1)). [para(11362(a,1),11364(a,1,1))]. 11370 (x * (y / x)) \ (T(x,y) * ((y / x) * L(K(y,x),z,u))) = a(u,z,K(x,y)). [para(10961(a,1),11047(a,1,2))]. 11371 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [para(11062(a,1),9057(a,1)),flip(a)]. 11372 x / T(x / y,L(T(y,y),z,u)) = y * a(u,z * y,K(y \ x,y)). [para(40(a,2),11371(a,1,2,2))]. 11373 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(103(a,1),11372(a,1,2,2,1))]. 11374 K(x,K(y,z)) * (L(K(u,x),w,v5) * K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [para(10731(a,1),11247(a,1,2))]. 11375 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(13(a,1),11275(a,1,1,2,1)),flip(a)]. 11376 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(13(a,1),11276(a,1,1,2,1))]. 11377 x * (y * (((y \ (x \ (z * y))) \ 1) \ 1)) = (x * (((x \ z) \ 1) \ 1)) * y. [para(11343(a,1),3664(a,1))]. 11378 K(x \ (y * z),(x \ (y * z)) \ 1) = K(x \ (y * z),z \ (y \ x)). [para(11361(a,1),2069(a,1)),flip(a)]. 11379 K(x \ (y * z),(y * z) \ x) = K(x \ (y * z),z \ (y \ x)). [para(11378(a,1),1986(a,1)),flip(a)]. 11380 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),y \ (z \ x)). [para(11379(a,1),4124(a,2))]. 11381 K((x \ (y \ z)) \ 1,(y * x) \ z) = K(z \ (y * x),x \ (y \ z)). [para(11379(a,1),7654(a,2))]. 11382 K(((x / y) / z) \ 1,(x / y) / z) = K(x \ (z * y),y \ (z \ x)). [para(11380(a,1),3743(a,2))]. 11383 x * K(1 \ (y * x),x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). [para(11381(a,1),5992(a,2,2)),flip(a)]. 11384 x * K(y * x,x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). [para(48(a,1),11383(a,1,2,1))]. 11385 K((1 / x) * y,y \ ((1 / x) \ 1)) = K(x \ y,y \ x). [hyper(17,a,11347,a(flip),b,11384,a)]. 11386 K(x * (x \ y),(x \ y) \ (x \ 1)) = K(y,y \ 1). [hyper(17,a,4108,a(flip),b,11384,a)]. 11387 (x * R(K(y * x,x \ (y \ 1)),z,z \ x)) / (z \ x) = ((y \ (((y * x) \ 1) \ 1)) / x) * z. [para(11384(a,1),695(a,2,1,1))]. 11388 K(x * y,y \ (x \ 1)) * y = x \ (((x * y) \ 1) \ 1). [para(11384(a,1),11369(a,2))]. 11389 K(x,(y \ x) \ (y \ 1)) = K(x,x \ 1). [para(14(a,1),11386(a,1,1))]. 11390 K((x \ y) \ (x \ 1),y) = 1 / K(y,y \ 1). [para(11389(a,1),5344(a,1,2)),flip(a)]. 11391 K((x \ y) \ (x \ 1),y) = K(y \ 1,y). [para(11390(a,2),5344(a,1))]. 11392 K((x * y) \ 1,x * y) = K(y \ (x \ 1),x * y). [para(13(a,1),11391(a,1,1,1)),flip(a)]. 11393 K(x \ ((y / x) \ 1),y) = K(y \ 1,y). [para(59(a,1),11391(a,1,1,1))]. 11394 K((x * y) \ 1,1 \ (x * y)) = K(y \ (x \ 1),x * y). [para(48(a,2),11392(a,1,2))]. 11395 (x * y) * (K(y \ (x \ 1),x * y) * z) = (1 / (1 / (x * y))) * z. [para(11392(a,1),2720(a,1,2,1))]. 11396 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [para(59(a,1),11385(a,1,2,2))]. 11397 x * K((1 / y) * x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(11396(a,2),2574(a,1,2))]. 11398 (x \ (((x * y) \ 1) \ 1)) / y = K(x * y,y \ (x \ 1)). [hyper(74,a,11388,a)]. 11399 x * K((1 / (1 / y)) * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(7227(a,1),11397(a,1,2))]. 11400 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),y \ (z \ x)). [para(11382(a,1),3192(a,1)),flip(a)]. 11401 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),(z * y) \ x). [para(11400(a,2),11379(a,2)),flip(a)]. 11402 K(T((x / y) / z,u),T((x / y) / z,u) \ 1) = (K(w,v5) / v5) / (K(x \ (z * y),(z * y) \ x) / T(v5,w)). [para(11401(a,1),6123(a,2,2,1))]. 11403 (x * K(x * y,y \ (x \ 1))) * y = ((x * y) \ 1) \ 1. [para(11367(a,2),2064(a,1))]. 11405 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [para(10721(a,2),5781(a,1))]. 11406 K(K(x,y) * z,R(y,u,w)) = K(z,R(y,u,w)). [para(5352(a,1),11405(a,1,1)),flip(a)]. 11407 K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). [para(5352(a,1),11406(a,1,1)),flip(a)]. 11408 K(R(K(x,y),z,u) * w,R(y,v5,v6)) = K(w,R(y,v5,v6)). [para(5958(a,1),11406(a,1,1,1))]. 11409 (K(x,y) * z) * K(z,R(x,u,w)) = T(K(x,y) * z,R(x,u,w)). [para(11407(a,1),5200(a,2,2)),flip(a)]. 11410 T(K(x,y) * z,R(x,u,w)) = K(x,y) * T(z,R(x,u,w)). [para(11409(a,1),6409(a,1))]. 11411 T(K(x,y) * (K(x,y) \ z),R(x,u,w)) \ z = K(R(x,u,w),K(x,y) \ z). [para(11410(a,2),7794(a,1,1))]. 11412 K(R(x,y,z),K(x,u) \ w) = T(w,R(x,y,z)) \ w. [para(14(a,1),11411(a,1,1,1)),flip(a)]. 11413 K(R(x,y,z),K(x,u) \ w) = K(R(x,y,z),w). [para(11412(a,2),5141(a,2)),flip(a)]. 11414 K(R(x,y,z),K(u,x) * w) = K(R(x,y,z),w). [para(5336(a,1),11413(a,1,2))]. 11416 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(8748(a,1),11414(a,1,2))]. 11417 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [para(7770(a,1),11416(a,1,2)),flip(a)]. 11418 (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(11417(a,1),9528(a,1,1,2))]. 11419 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(104(a,1),11120(a,1,1,2,2,1))]. 11420 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),z,x). [para(11419(a,2),9423(a,1))]. 11421 (1 / ((1 / x) * (x / y))) \ ((1 / y) \ 1) = y * ((1 / x) * (x / y)). [para(11330(a,1),11345(a,1,1))]. 11422 (1 / ((1 / x) * (x / y))) \ y = y * ((1 / x) * (x / y)). [para(59(a,1),11421(a,1,2))]. 11423 R((x * ((1 / y) * (y / x))) \ x,(1 / y) * (y / x),x) = (((1 / y) * (y / x)) * x) \ x. [para(11422(a,1),4868(a,1,1,1))]. 11424 (x * ((1 / y) * (y / x))) * K(((1 / y) * (y / x)) \ 1,a(1 / y,y / x,x)) = x / (1 / ((1 / y) * (y / x))). [para(11422(a,1),6252(a,1,1))]. 11425 K(x,T(y * (z * K(u,x)),w)) = K(x,T(y * z,w)). [para(10717(a,2),9578(a,1))]. 11426 K(x,T(y * T(z,x),u)) = K(x,T(y * z,u)). [para(5200(a,2),11425(a,1,2,1,2))]. 11427 K(x,T(y * (z * K(u,T(x,w))),v5)) = K(x,T(y * z,v5)). [para(8800(a,1),11425(a,1,2,1,2,2))]. 11428 K(x,T(y * (x * K(z,T(x,y))),u)) = K(x,T((x * K(z,x)) * y,u)). [para(7573(a,1),11426(a,1,2,1))]. 11429 K(x,T((x * K(y,x)) * z,u)) = K(x,T(z * x,u)). [para(11428(a,1),11427(a,1))]. 11430 K(x,T((y / (y / x)) * z,u)) = K(x,T(z * x,u)). [para(5100(a,2),11429(a,1,2,1,1))]. 11432 K(x,T((y / (y / x)) * (z \ 1),u)) = K(x,T(z \ x,u)). [para(11430(a,2),9535(a,1))]. 11433 K(x,T(y \ (z / (z / x)),z)) = K(x,T(y \ x,z)). [para(11432(a,1),10414(a,1)),flip(a)]. 11434 K(x / (x / y),z \ (x / (x / y))) = K(y,T(z \ y,x)). [para(11433(a,1),8898(a,2))]. 11436 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [para(10724(a,2),5776(a,1))]. 11437 K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). [para(7933(a,1),10791(a,1,1,1,2)),flip(a)]. 11438 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). [para(1212(a,1),11437(a,2,1))]. 11439 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x,T(y,u \ z)). [para(11438(a,2),8780(a,1))]. 11440 K(x,T(y \ (z * x),u)) = K(x,T(y \ (x * z),u)). [para(10817(a,1),9578(a,1))]. 11441 K((x \ y) \ y,T(z \ (((x \ y) \ y) * u),w)) = K((x \ y) \ y,T(z \ (u * T(x,x \ y)),w)). [para(194(a,2),11440(a,1,2,1,2)),flip(a)]. 11442 K(x,T((K(x,y) * z) / u,w)) = K(x,T(z / u,w)). [para(10930(a,2),9578(a,1))]. 11443 K(x,T((y * K(z,x)) / u,w)) = K(x,T(y / u,w)). [para(8746(a,1),11442(a,1,2,1,1)),flip(a)]. 11444 R(K(x,T(y / (z / u),w)),y,u) = K(x,T(((y * K(v5,x)) * u) / z,w)). [para(11443(a,1),9033(a,1,1))]. 11445 K(x,T(((y * K(z,x)) * u) / w,v5)) = K(x,T((y * u) / w,v5)). [para(11444(a,1),8266(a,1))]. 11447 L(K(x,y),z / K(x,y),u) \ (u * z) = T(u * (z * K(y,x)),K(y,L(x,z,u))). [para(11037(a,2),10272(a,1))]. 11449 K(x,((y * (1 / (1 / (y \ z)))) / u) \ L(x,w,v5)) = K(x,(z / u) \ L(x,w,v5)). [para(11074(a,2),10887(a,1))]. 11450 K(K(L(x,y,z) \ 1,u) \ 1,w) = K(u,K(w,L(x \ 1,y,z))). [para(11248(a,1),11090(a,1))]. 11451 K(K(L(x,y,z) \ 1,u) \ 1,w) = K(w,K(x,L(u,y,z))). [para(11450(a,2),10266(a,1))]. 11452 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(T(z * y,z) \ 1,u) \ 1,x). [para(10220(a,1),11451(a,1,1,1)),flip(a)]. 11453 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(u,T(z * y,z) \ 1),x). [para(5332(a,1),11452(a,2,1))]. 11454 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(T(z * y,z) \ 1,x)). [para(11453(a,2),8418(a,1))]. 11455 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). [para(11454(a,2),10197(a,1))]. 11456 (T(x \ y,x \ (z \ y)) \ 1) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(11103(a,1),11254(a,1,1))]. 11457 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [para(11456(a,1),5547(a,2)),flip(a)]. 11458 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (K(x,y) * z). [para(7967(a,1),11269(a,2,2))]. 11459 L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). [para(10874(a,1),11458(a,1,1)),flip(a)]. 11460 L(x,y,z) * (K(u,x) * (L(x,y,z) \ w)) = K(u,x) * w. [para(14(a,1),11459(a,2,2))]. 11461 K(x,y) * (L(y,z,u) * (w * K(y,x))) = L(y,z,u) * T(w,K(y,x)). [para(5354(a,1),11459(a,1,2)),flip(a)]. 11463 (K(x,y) \ ((K(x,y) * z) / L(y,u,w))) / (K(x,y) \ 1) = (L(y,u,w) * ((L(y,u,w) \ z) / (K(x,y) \ 1))) / L(y,u,w). [para(11460(a,1),972(a,1,1,2,1))]. 11464 T(L(x,y,z) * u,K(w,x)) = L(x,y,z) * T(u,K(x,w)). [para(11461(a,1),9415(a,1)),flip(a)]. 11465 T(L(x,y,z) * u,K(x,w)) = L(x,y,z) * T(u,K(x,w)). [para(11464(a,1),8502(a,1)),flip(a)]. 11466 (L(x,y,z) * u) * K(x,K(w,u)) = T(L(x,y,z) * u,K(x,w)). [para(11465(a,2),8468(a,2))]. 11467 K(x,K(y,L(y,z,u) * w)) = K(y,K(x,w)). [hyper(17,a,8416,a,b,11466,a),flip(a)]. 11468 K(x,K(y,L(y,z,u) * w)) = K(x,K(y,w)). [para(11467(a,2),8435(a,1))]. 11469 (x * K(y * z,z \ (y \ 1))) / ((y * z) \ x) = ((y * z) \ 1) \ 1. [para(57(a,1),11365(a,1,1,1)),flip(a)]. 11470 x * K((1 / (y \ 1)) * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(6631(a,1),11399(a,1,2))]. 11471 L(K(x,x \ y),z / K(x,x \ y),u) \ (u * z) = T(u * (z * K(x \ y,x)),K(y,L(x,z,u))). [para(11447(a,2),10349(a,1))]. 11472 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = y * K(x * y,y \ (x \ 1)). [para(57(a,1),11470(a,1,2,1,1)),flip(a)]. 11474 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = x \ (((x * y) \ 1) \ 1). [para(11472(a,2),11384(a,1))]. 11475 (x \ (((x * y) \ 1) \ 1)) * x = ((y * x) \ 1) \ 1. [para(11474(a,1),3658(a,1,1))]. 11476 x * K(x * y,y \ (x \ 1)) = y \ (((y * x) \ 1) \ 1). [hyper(18,a,11403,a,b,11475,a),flip(a)]. 11477 (x \ (((x * y) \ 1) \ 1)) / ((y * x) \ y) = ((y * x) \ 1) \ 1. [para(11476(a,1),11469(a,1,1))]. 11478 R(K(x * y,T(y,z)),T(x,K(y,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(9183(a,1),11144(a,1,2))]. 11479 (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),T(x,1),y). [para(110(a,1),11478(a,1,2,2)),flip(a)]. 11481 (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),x,y). [para(1615(a,1),11479(a,2,2))]. 11482 L(K(T(x,y) * z,z),T(x,y),y) = R(K(x * z,T(z,y)),x,y). [para(11481(a,1),8288(a,2))]. 11483 L(K(x * T(y,z),x),T(y,z),z) = R(K(y * x,T(x,z)),y,z). [para(5920(a,1),11482(a,1,1))]. 11484 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [para(11331(a,1),89(a,1))]. 11485 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(14(a,1),11484(a,1,2,2,2,2))]. 11486 K(x,((y * (z * (1 / (1 / (z \ (y \ u)))))) / w) \ L(x,v5,v6)) = K(x,(u / w) \ L(x,v5,v6)). [para(11485(a,1),11449(a,1,2,1,1))]. 11487 K(T(T(x,y),z),(x * u) \ w) = K(T(T(x,y),z),u \ (x \ w)). [para(10790(a,1),5859(a,1))]. 11488 K(T(T(x,y),z),u \ (x \ z)) = K(T(x,y),z / (x * u)). [para(11487(a,1),8793(a,1))]. 11489 K(T(x,y),(x \ z) / u) = K(T(x,y),z / (x * u)). [para(11488(a,1),8897(a,1)),flip(a)]. 11490 K(T(x / y,y),z / ((x / y) * u)) = K(y \ x,((x / y) \ z) / u). [para(106(a,1),11489(a,1,1)),flip(a)]. 11491 K(x \ y,((y / x) \ z) / u) = K(x \ y,z / ((y / x) * u)). [para(106(a,1),11490(a,1,1)),flip(a)]. 11492 K(x \ y,((y / x) \ z) / u) = K(x \ y,z / ((x \ y) * u)). [para(11491(a,2),9400(a,1))]. 11493 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) = T(1 / x,(1 / x) \ 1). [para(10804(a,2),8121(a,1))]. 11494 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) = x \ 1. [para(11493(a,2),196(a,1))]. 11495 T(K(x,y),z) * a(u,w,T(K(y,x),z)) = L(K(x * K(x \ 1,z),y),w,u). [para(9808(a,1),11054(a,1,2,3))]. 11496 T(K(x,y),z) * a(u,w,T(K(y,x),z)) = L(T(K(x,y),z),w,u). [para(8722(a,1),11495(a,2,1))]. 11497 (x * (K(y,z) \ u)) \ (x * u) = T(K(y,z),u) * a(x,K(z,y) * u,T(K(z,y),u)). [para(11496(a,2),9748(a,1)),flip(a)]. 11498 T(K(x,y),z) * a(u,z,K(y,x)) = L(T(K(x,y),z),z,u). [para(11245(a,1),11496(a,1,2))]. 11499 (x * (K(y,z) \ u)) \ (x * u) = T(K(y,z),u) * a(x,u,K(z,y)). [para(11059(a,1),11497(a,2,2))]. 11500 (x * (K(y,z) \ u)) \ (x * u) = L(T(K(y,z),u),u,x). [para(11499(a,2),11498(a,1))]. 11501 (x * (K(y,z) * u)) \ (x * u) = L(T(K(z,y),u),u,x). [para(5336(a,1),11500(a,1,1,2))]. 11502 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(7973(a,2),11501(a,2,1))]. 11503 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(11502(a,1),14(a,1,2))]. 11504 ((((x * (K(y,z) * u)) / (x * u)) \ 1) \ 1) \ (x * (K(y,z) * u)) = (x * (K(y,z) * u)) * ((L(K(z,T(y,u)),u,x) \ 1) \ 1). [para(11502(a,1),2888(a,2,2,1,1))]. 11505 L(T(K(x,T(y,z)),u * (K(y,x) * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(11503(a,1),8545(a,1,1)),flip(a)]. 11506 L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7973(a,2),11505(a,1,1))]. 11507 K(x,((L(x,y,z) * (u * w)) / u) \ L(x,y,z)) = K(x,T(w \ 1,u)). [para(11075(a,2),11088(a,1))]. 11509 K((L(x,y,z) * u) / w,T(x,v5)) = K((w / u) \ L(x,y,z),T(x,v5)). [para(11096(a,1),5679(a,1))]. 11510 K((x / y) \ L(z,u,w),T(z,y)) = K(x \ (L(z,u,w) * y),z). [para(11509(a,1),11270(a,1))]. 11511 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(10880(a,1),8800(a,1))]. 11512 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,z))). [para(10937(a,2),10233(a,1))]. 11513 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T((z * u) / z,z))). [para(11512(a,2),10385(a,1))]. 11514 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,u)). [para(126(a,1),11513(a,2,2,2))]. 11515 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(((y * (x \ 1)) \ z) \ 1,x). [para(10984(a,2),10982(a,1))]. 11516 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(z \ (y * (x \ 1)),x). [para(11515(a,2),6464(a,1))]. 11517 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [para(11516(a,1),11187(a,1))]. 11518 K(x * (L(x,y,z) \ (u \ 1)),u) = K(L(x,y,z) \ (u \ x),u). [para(853(a,1),11517(a,1,1))]. 11520 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((y * x) * z) / ((u * y) * z)). [para(13(a,1),10999(a,2,2,1,1))]. 11522 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [para(11003(a,2),11005(a,1))]. 11523 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [para(11522(a,2),8054(a,1))]. 11524 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [para(11523(a,1),11191(a,1))]. 11526 (1 / (L(K(x,y),z,u) / y)) * K(y,y \ 1) = y * L(K(y,x),z,u). [para(10480(a,1),11024(a,1,2))]. 11527 K(x,x \ 1) / (L(K(y,x),z,u) / x) = x * L(K(x,y),z,u). [para(11526(a,1),3795(a,1)),flip(a)]. 11529 1 / (x \ L(K(y,x),z,u)) = x * L(K(x,y),z,u). [para(11527(a,1),6341(a,1)),flip(a)]. 11530 (x * K(y,z)) * (y * L(K(z,y),u,w)) = x * (y * a(w,u,K(y,z))). [para(10706(a,1),11064(a,1,1,2))]. 11531 ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = x * (y * a(w,u,K(y,z))). [para(11530(a,1),7729(a,2))]. 11533 (x * (y * a(z,u,K(y,w)))) / y = (x * K(y,w)) * L((x * K(y,w)) \ x,u,z). [hyper(74,a,11531,a)]. 11534 (x * (y * a(z,u,K(y,w)))) / y = (x * K(y,w)) * L(K(w,y),u,z). [para(7769(a,1),11533(a,2,2,1))]. 11536 (x * (y * a(z,u,K(y,w)))) / y = x * (L(K(w,y),u,z) * K(y,w)). [para(11534(a,2),9828(a,1))]. 11537 (x * (y * a(z,u,K(y,w)))) / y = x * a(z,u,K(y,w)). [para(11042(a,1),11536(a,2,2))]. 11538 (x * a(y,z,K(x,u))) / x = a(y,z,K(x,u)). [hyper(3864,a,11537,a)]. 11539 a(x,y,K(z,u)) * z = z * a(x,y,K(z,u)). [para(11538(a,1),16(a,1,1))]. 11540 T(x,a(y,z,K(x,u))) = x. [hyper(131,a,11539,a)]. 11541 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(11540(a,1),7967(a,1,2,2)),flip(a)]. 11542 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [para(11541(a,2),11108(a,2))]. 11543 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(11542(a,2),19(a,1))]. 11544 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),11121(a,1,2,1))]. 11546 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(28(a,2),11544(a,1,2))]. 11547 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [para(11546(a,1),10871(a,1)),flip(a)]. 11548 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [para(11547(a,2),10778(a,1))]. 11550 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(14(a,1),11548(a,2,2,2))]. 11551 K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). [para(16(a,1),11548(a,1,1,2)),flip(a)]. 11553 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(4446(a,1),11550(a,1,1,2))]. 11554 L(x,y,z) \ K(x,L(x \ 1,u,w)) = 1 / L(x,y,z). [para(11550(a,1),6780(a,1,2))]. 11555 L(x,y,K(z,L(x,u,w))) = x. [para(11550(a,1),7449(a,1,3))]. 11556 K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). [para(11550(a,1),8084(a,1,2,2))]. 11557 K(x,L(y * ((z * y) \ z),u,w)) = 1. [para(11550(a,1),8185(a,1))]. 11558 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(11550(a,1),8567(a,1,1,2))]. 11559 K(x,L(y,z,u)) * (x / y) = T(x,L(y,z,u)) / y. [para(11555(a,1),5286(a,1,2)),flip(a)]. 11560 K(x,a(y,z,z \ 1) \ 1) = 1. [para(11557(a,1),6673(a,1)),flip(a)]. 11562 K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). [para(82(a,1),11558(a,1,1)),flip(a)]. 11563 K(x / (y / L(z,u,w)),z) = K(x / (L(z,u,w) \ y),z). [para(6542(a,1),11558(a,1,1))]. 11564 K(x * T(L(y,z,u),w),y) = K(x * L(y,z,u),y). [para(7805(a,1),11558(a,1,1)),flip(a)]. 11565 K((x * T(L(y,z,u),w)) / w,y) = K((x * L(y,z,u)) / w,y). [para(7837(a,1),11558(a,1,1)),flip(a)]. 11566 K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). [para(11556(a,1),6675(a,1))]. 11567 K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). [para(11550(a,1),11556(a,1,2,2))]. 11568 K(x,K(L(x,y,z),u) * w) = K(x,w). [para(11551(a,1),7612(a,1,2,1))]. 11569 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(11551(a,1),7917(a,1,1,1))]. 11570 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(11551(a,1),8583(a,1,2,2))]. 11571 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [para(11551(a,1),11168(a,1))]. 11572 K(x,L(x,y,z) * u) = K(x,u * L(x,y,z)). [para(5134(a,1),11568(a,1,2))]. 11573 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(11569(a,1),8780(a,1,1,2)),flip(a)]. 11574 T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). [para(82(a,1),11570(a,1,2))]. 11575 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(44(a,2),11571(a,1,1))]. 11576 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),L(x,y,x) * (w \ 1)). [para(11571(a,1),6829(a,1)),flip(a)]. 11577 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [para(11571(a,1),9044(a,1)),flip(a)]. 11578 K(L(x,y,x) * z,x) = K(x * z,x). [para(11562(a,2),10867(a,1))]. 11579 K((L(x,y,z) \ x) \ u,x) = K((x \ u) * L(x,y,z),x). [para(11562(a,1),11072(a,2))]. 11580 K(x * (L(x,y,x) \ z),x) = K(z,x). [para(14(a,1),11578(a,1,1)),flip(a)]. 11581 T(x * K(y,x),x * (L(x,z,x) \ y)) = x. [para(11580(a,1),5171(a,1,1,2))]. 11582 T(x,x * (L(x,y,x) \ z)) = T(x,z). [para(11581(a,1),5231(a,1,1)),flip(a)]. 11583 T(x,L(x,y,x) * z) = T(x,x * z). [para(13(a,1),11582(a,1,2,2)),flip(a)]. 11586 T(x,L(x,y,x) * z) = x * K(x,x * z). [para(11583(a,2),5200(a,1))]. 11588 K(x,L(x,y,x) * z) = K(x,x * z). [hyper(5247,a,11586,a)]. 11589 R(K(x,x * y),T(x,z) * u,w) = K(R(x,u,w),L(x,v5,x) * y). [para(11588(a,1),8234(a,1,1))]. 11590 K(x,K(y,z * L(y,u,w))) = K(x,K(y,z)). [para(11572(a,1),11468(a,1,2))]. 11591 K(x,K(y,z * L(x,u,w))) = K(y,K(x,z)). [para(11590(a,1),8435(a,1)),flip(a)]. 11592 K(x,K(y,z * L(x,u,w))) = K(x,K(y,z)). [para(11591(a,2),8435(a,1))]. 11593 K(x,K(y,z * (u * x))) = K(x,K(y,z * u)). [para(89(a,1),11592(a,1,2,2))]. 11594 K(x,T(y,z * L(y,u,w))) = K(x,T(y,z)). [para(11574(a,1),11267(a,1,2))]. 11595 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(89(a,1),11594(a,1,2,2))]. 11596 L(K(x,y) * K(x,K(y,z * u)),u * x,z) = (z * (u * T(x,y))) / (z * (u * x)). [para(11593(a,1),9862(a,1,1,2))]. 11597 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(14(a,1),11595(a,1,2,2,2))]. 11598 K(x \ (y * (z * u)),T(u,y * z)) = K((y * (z * u)) / x,u). [para(11595(a,1),8795(a,1))]. 11599 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(11035(a,1),11595(a,1,2))]. 11600 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [para(11599(a,1),8936(a,1))]. 11601 K(x,T(y,z * (y * x))) = K(x,T(y,z)). [para(11599(a,2),8936(a,1))]. 11602 K(x \ y,T(x,z * y)) = K(x \ y,T(x,z)). [para(14(a,1),11601(a,1,2,2,2))]. 11603 K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). [para(14(a,1),11600(a,1,2,2))]. 11604 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [para(11600(a,1),8652(a,2))]. 11605 K(x \ y,T(x,z * K(y,z))) = K(x \ y,T(x,y * z)). [para(5216(a,1),11602(a,1,2,2)),flip(a)]. 11606 (x / y) * K(x,L(y,z,u)) = T(x,L(y,z,u)) / y. [para(11559(a,1),9725(a,1)),flip(a)]. 11607 K(x * L(T(y,z),u,w),y) = K(x * L(y,u,w),y). [para(40(a,2),11564(a,1,1,2))]. 11608 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(11577(a,1),9522(a,1,1))]. 11610 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [para(11597(a,1),8936(a,1))]. 11611 K(x,T(x \ y,z * y)) = K(x,T(x \ y,z)). [para(11597(a,2),8936(a,1))]. 11612 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(16(a,1),11610(a,1,2,2)),flip(a)]. 11613 K(x,T(x \ (y \ z),z)) = K(x,T(x \ (y \ z),y)). [para(14(a,1),11611(a,1,2,2))]. 11614 (x * y) * R(K(z,z \ y),x,y) = (K(z,T(z \ y,x)) * x) * y. [para(11611(a,1),9173(a,1,1,1)),flip(a)]. 11615 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [para(11612(a,1),9258(a,1)),flip(a)]. 11616 T(T(x,L(y,z,u)) / y,y) = (y \ x) * K(x,L(y,z,u)). [para(11606(a,1),10347(a,1,1))]. 11617 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(T(x,w),z,u)). [para(11607(a,1),6810(a,1,1,1,2))]. 11618 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(6793(a,1),11554(a,1,2))]. 11619 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [para(11573(a,2),8780(a,1))]. 11620 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [para(235(a,1),11619(a,1,2,2,1,1))]. 11621 K(x,T(y,T(z,L(x,u,w)))) = K(x,T(y,z)). [para(5158(a,1),11619(a,1,2,2)),flip(a)]. 11622 K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). [para(5534(a,1),11620(a,1,2,2))]. 11623 K(x,T(y,R(K(x,z),u,w) * v5)) = K(x,T(y,v5)). [para(6946(a,1),11620(a,1,2,2,1))]. 11624 K(x,T((K(x,y) * z) / u,z)) = K(x,u \ (K(x,y) * z)). [para(11620(a,1),7485(a,1))]. 11625 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(8551(a,1),11620(a,1,2,2))]. 11626 K(x,T(y,z * K(u,x))) = K(x,T(y,z)). [para(8746(a,1),11620(a,1,2,2)),flip(a)]. 11627 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(11034(a,1),11625(a,1,2,2)),flip(a)]. 11628 T(x * K(y,z),K(z,T(u,x))) = T(x * K(y,z),K(z,u)). [para(11626(a,1),7992(a,1,2))]. 11629 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(106(a,1),11621(a,1,2,2)),flip(a)]. 11630 K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). [para(11622(a,1),11439(a,1))]. 11631 K(x,T(y,(K(x,z) * u) * w)) = K(x,T(y,u * w)). [para(100(a,1),11623(a,1,2,2))]. 11632 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [para(11630(a,1),8969(a,1)),flip(a)]. 11633 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [para(14(a,1),11632(a,1,2,2,1)),flip(a)]. 11634 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(24(a,2),11632(a,1,2,2)),flip(a)]. 11635 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(11633(a,2),8537(a,2))]. 11636 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [para(11633(a,1),10831(a,1)),flip(a)]. 11637 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(14(a,1),11636(a,1,2,2,2)),flip(a)]. 11638 T(x,T(y,z \ (x * u))) = x * K(x,T(y,z \ u)). [para(11636(a,1),5200(a,2,2))]. 11639 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ u)). [para(11636(a,1),11068(a,2))]. 11640 K(x,T(y,z \ (z * R(u,x,x \ z)))) = K(x,T(y,u)). [para(11636(a,1),11514(a,1))]. 11641 K(x,T(T(x \ y,z),u \ y)) = K(x,T(T(x \ y,z),u)). [para(11637(a,1),10168(a,1))]. 11642 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,u \ x)). [para(14(a,1),11639(a,1,2,2,2))]. 11643 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(5134(a,1),11631(a,1,2,2,1)),flip(a)]. 11644 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(8746(a,1),11631(a,1,2,2,1)),flip(a)]. 11645 T(x,T(y,z \ (x * u))) = T(x,T(y,z \ u)). [para(11638(a,2),5200(a,2)),flip(a)]. 11646 T(x,T(y,z \ (x \ u))) = T(x,T(y,z \ u)). [para(14(a,1),11645(a,1,2,2,2)),flip(a)]. 11647 T(x,T(y \ (x \ z),y \ z)) = T(x,y \ (x \ z)). [para(103(a,1),11646(a,1,2)),flip(a)]. 11648 K(x \ 1,T(y,z \ x)) = K(x \ 1,T(y,z)). [para(11642(a,1),10153(a,1))]. 11649 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,x \ u)). [para(11642(a,2),10160(a,1))]. 11650 K((x * y) \ 1,T(z,y)) = K((x * y) \ 1,T(z,x)). [para(13(a,1),11648(a,1,2,2))]. 11651 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [para(11648(a,1),10160(a,1)),flip(a)]. 11652 K(x,T(((y * K(z,x)) * u) / w,y * u)) = K(x,w \ ((y * K(z,x)) * u)). [para(11644(a,1),7485(a,1))]. 11653 K(x \ y,T(z,(u * x) \ y)) = K(x \ y,T(z,T(u,x))). [para(32(a,2),11649(a,2,2,2))]. 11654 K((x * y) \ 1,T(T(z,x),y)) = K((x * y) \ 1,z). [para(11650(a,2),8560(a,1))]. 11655 K(((x \ 1) * y) \ 1,T(T(z,x),y)) = K(((x \ 1) * y) \ 1,z). [para(11654(a,1),10179(a,1)),flip(a)]. 11656 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [para(11618(a,1),5243(a,1,1))]. 11657 L(x,y,z) \ T(x,L(x,u,w) \ 1) = x * (1 / L(x,y,z)). [para(11618(a,1),5256(a,1,2)),flip(a)]. 11658 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [para(11618(a,1),5703(a,1)),flip(a)]. 11659 L(x,y,1 / (y * x)) \ 1 = T((1 / (y * x)) * y,x). [para(228(a,1),11656(a,1,1)),flip(a)]. 11661 R(1 / L(x,y,z),x,x \ 1) = (L(x,y,z) \ x) * (x \ 1). [para(11658(a,1),346(a,1,1))]. 11663 K(x,T(y,R(z,x,x \ u))) = K(x,T(y,z)). [para(13(a,1),11640(a,1,2,2))]. 11666 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,x \ z)). [para(11663(a,1),9160(a,1)),flip(a)]. 11667 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,z)). [para(11666(a,2),8941(a,1))]. 11669 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(16(a,1),11667(a,1,2,2,1)),flip(a)]. 11670 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [para(11669(a,1),5200(a,2,2))]. 11671 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [para(11670(a,2),5200(a,2)),flip(a)]. 11672 1 / T((1 / (x * y)) * x,y) = L(y,x,1 / (x * y)). [para(11659(a,1),57(a,1,2))]. 11673 1 / T((1 / (x * y)) * x,y) = L(y,x,(x * y) \ 1). [para(11672(a,2),3767(a,1))]. 11674 K(x,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,z,u)). [para(40(a,2),11566(a,1,2,1,1))]. 11675 K((x \ y) * L(x,z,z \ 1),x) = K(a(z \ 1,z,x) \ y,x). [para(4150(a,1),11579(a,1,1,1)),flip(a)]. 11676 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [para(11605(a,1),9257(a,1))]. 11677 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(16(a,1),11676(a,1,2,2)),flip(a)]. 11678 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5355,a,11608,a),flip(a)]. 11679 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(11678(a,1),9547(a,2,2))]. 11680 (x \ y) * K(y,L(x,z,u)) = x \ T(y,L(x,z,u)). [para(11616(a,1),106(a,1))]. 11681 K(x,T(y / z,y)) = K(x,z \ (K(x,u) * y)). [para(11624(a,1),11442(a,1)),flip(a)]. 11682 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [para(11681(a,1),7485(a,1))]. 11684 K(x,y \ T(x,z)) = K(x,y \ x). [para(5214(a,2),11682(a,1,2,2))]. 11685 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(5134(a,1),11682(a,1,2,2)),flip(a)]. 11686 K(x,y \ (T(z,x) * u)) = K(x,y \ (z * u)). [para(5178(a,1),11682(a,1,2,2)),flip(a)]. 11687 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(5279(a,1),11682(a,1,2,2)),flip(a)]. 11688 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(5521(a,1),11682(a,1,2,2)),flip(a)]. 11689 K(x,y \ (T(z,x) / u)) = K(x,y \ (z / u)). [para(6136(a,1),11682(a,1,2,2)),flip(a)]. 11690 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). [para(6251(a,1),11682(a,1,2,2)),flip(a)]. 11691 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(8746(a,1),11682(a,1,2,2)),flip(a)]. 11692 K(x,K(y,z \ y)) * (z \ T(y,u)) = T(z \ T(y,u),K(x,y)). [para(11684(a,1),8459(a,1,1,2))]. 11693 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(14(a,1),11685(a,2,2,2))]. 11694 K(x,(y * z) \ (x * y)) = K(x,z \ x). [para(11685(a,1),10848(a,1))]. 11695 K(x,y \ (z \ T(u,x))) = K(x,y \ (z \ u)). [para(5791(a,1),11691(a,1,2,2))]. 11696 K(x,y \ (z * L(K(u,x),w,v5))) = K(x,y \ z). [para(6332(a,1),11691(a,1,2,2,2))]. 11697 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6589(a,1),11691(a,1,2,2)),flip(a)]. 11698 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(11693(a,1),11223(a,1,2)),flip(a)]. 11699 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [para(11688(a,1),11017(a,2))]. 11700 K(x,y \ (z / (u \ T(z,x)))) = K(x,y \ u). [para(57(a,1),11689(a,1,2,2)),flip(a)]. 11701 K(x,y \ ((T(z,x) / u) \ z)) = K(x,y \ u). [para(59(a,1),11695(a,1,2,2)),flip(a)]. 11702 (K(x,K(y,z \ u)) * w) / (y \ w) = T(y,K(x,z \ (y \ u))). [para(11698(a,1),8440(a,1,1,1))]. 11703 K(x,K(y,z \ (y \ 1))) = K(x,K(y,z)). [para(11698(a,2),10192(a,1))]. 11704 K(x,K(y,z)) * K(z \ (y \ 1),y) = K(z \ (y \ 1),T(y,x)). [para(11703(a,1),8000(a,1,1))]. 11706 K(x,((y \ T(z,x)) \ 1) \ y) = y \ (z / (y \ T(z,x))). [para(11700(a,1),7953(a,1))]. 11707 K(x,((T(y,x) / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [para(11701(a,1),7951(a,1))]. 11708 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(89(a,1),11696(a,1,2,2))]. 11709 K(x,y \ (z * (u * K(x,w)))) = K(x,y \ (z * u)). [para(10861(a,1),11696(a,1,2,2)),flip(a)]. 11710 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [para(11687(a,2),11256(a,1))]. 11711 K(x,y \ (z * ((x \ u) * x))) = K(x,y \ (z * u)). [para(185(a,1),11708(a,1,2,2,2))]. 11712 K(x / y,z \ (u * (y * (x / y)))) = K(x / y,z \ (u * x)). [para(186(a,1),11708(a,1,2,2,2))]. 11713 K(x \ (y * (z * K(u,w))),w) = (v5 * K(w,x \ (y * z))) \ v5. [para(11708(a,1),7769(a,1,1,2)),flip(a)]. 11714 K(x,y \ (z * (K(x,u) * w))) = K(x,y \ (z * w)). [para(7967(a,1),11709(a,1,2,2,2))]. 11715 K(x / y,z \ (x / y)) = K(y \ x,y \ (z \ x)). [para(11710(a,2),11457(a,1))]. 11716 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(5352(a,1),11714(a,1,2,2,2)),flip(a)]. 11717 K((x / y) \ x,(x / y) \ (z \ x)) = K(y,T(z \ y,x)). [para(11715(a,1),11434(a,1))]. 11718 K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). [para(308(a,1),11716(a,1,2))]. 11719 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [para(11629(a,2),9626(a,1))]. 11720 K(x,T(y,z * L(x,u,w))) = K(x,T(y,z)). [para(15(a,1),11719(a,1,2,2)),flip(a)]. 11721 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [para(117(a,1),11719(a,1,2,2)),flip(a)]. 11723 K(T(x,y),T(z,u * L(x,w,v5))) = K(x,T(z * K(y,z),u)). [para(11720(a,1),8785(a,1)),flip(a)]. 11724 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [para(11721(a,1),11627(a,1)),flip(a)]. 11725 K(x,T(x * y,z * y)) = K(x,T(x * y,z)). [para(11724(a,1),7483(a,1))]. 11726 K(x,T(x * y,z * y)) = K(x,T(y * x,z)). [para(11725(a,2),5743(a,2)),flip(a)]. 11727 (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(y * z,x)),y,x). [para(11726(a,1),11300(a,1,1)),flip(a)]. 11728 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(17,a,8537,a,b,11635,a),flip(a)]. 11729 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [para(11728(a,1),8676(a,2))]. 11730 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [para(11728(a,1),10195(a,1)),flip(a)]. 11731 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [para(11729(a,1),9540(a,1)),flip(a)]. 11732 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [para(11730(a,1),11084(a,2))]. 11733 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(11731(a,1),10188(a,1,2)),flip(a)]. 11734 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [para(11732(a,1),8449(a,2))]. 11735 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(8311(a,1),11734(a,1,2,2))]. 11736 K(x,T(T(x \ y,z),y \ u)) = K(x,T(T(x \ y,z),u)). [para(11641(a,1),10160(a,1)),flip(a)]. 11737 K(x \ L(y,z,u),T(y,T(w,x))) = K(x \ L(y,z,u),T(y,w * x)). [para(11653(a,1),11272(a,1))]. 11738 K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). [para(11674(a,1),6520(a,1)),flip(a)]. 11739 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(927(a,1),11738(a,1,2,2,1)),flip(a)]. 11740 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(931(a,1),11738(a,1,2,2,1))]. 11741 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [para(11679(a,2),9221(a,2))]. 11744 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [para(59(a,1),11717(a,1,1))]. 11745 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [para(11744(a,1),10812(a,1)),flip(a)]. 11746 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(11745(a,1),11685(a,2))]. 11747 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [para(59(a,1),11746(a,1,2,2,1)),flip(a)]. 11748 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [para(11747(a,1),8550(a,1,1))]. 11749 K(x,(y * x) / z) = K(x,(z / y) \ x). [para(11748(a,1),8552(a,1)),flip(a)]. 11750 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [para(11748(a,1),9740(a,2))]. 11751 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(11749(a,1),10974(a,1))]. 11752 K(x,y / (x \ z)) = K(x,(z / y) \ x). [para(11749(a,1),11198(a,1)),flip(a)]. 11753 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(22,a,11752,a)]. 11754 K(x,((x * y) / z) \ x) = K(x,z / y). [para(13(a,1),11752(a,1,2,2)),flip(a)]. 11755 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(11752(a,1),6966(a,1,1))]. 11756 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [para(11752(a,1),10914(a,2))]. 11757 K(x,(y \ (x * z)) / z) = K(x,y \ x). [para(57(a,1),11754(a,1,2,1)),flip(a)]. 11758 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,T(y \ (x * z),y) / z). [para(4333(a,1),11754(a,1,2,1))]. 11759 K(x,((y * x) / z) \ x) = K(x,z / y). [para(11754(a,1),7171(a,2))]. 11760 K(x,(T((x * y) / z,u) \ (x * y)) \ x) = K(x,T(z \ (x * y),u) / y). [para(7343(a,1),11754(a,1,2,1))]. 11761 K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) = K(x,y \ x). [para(456(a,1),11757(a,1,2,1,2))]. 11762 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(11756(a,2),7967(a,2,1)),flip(a)]. 11763 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(11750(a,2),7109(a,1))]. 11764 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5745,a,11753,a)]. 11765 T(x,(y * x) / z) = T(x,(z / y) \ x). [para(11764(a,1),11209(a,2))]. 11766 K(x,T(T(x \ y,z),y * u)) = K(x,T(T(x \ y,z),u)). [para(13(a,1),11736(a,1,2,2)),flip(a)]. 11767 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(11741(a,1),10595(a,1))]. 11768 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(5074(a,1),11751(a,1,2,1))]. 11769 L(K(x,T(T(x \ y,z),z)),z,y) = (y * (K(x,x \ y) * z)) / (y * z). [para(11766(a,1),9612(a,1,1))]. 11770 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [para(11768(a,1),10849(a,1)),flip(a)]. 11771 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(853(a,1),11770(a,1,2)),flip(a)]. 11772 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(584(a,1),11634(a,1,2,2))]. 11773 K(x,T(y,a(x,z,u))) = K(x,y). [para(11772(a,1),8765(a,1))]. 11774 K(x,y / a(x,z,u)) = K(x,a(x,z,u) \ y). [para(106(a,1),11773(a,1,2)),flip(a)]. 11775 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(11773(a,1),5200(a,2,2))]. 11777 T(x,T(y,a(x,z,u))) = T(x,y). [para(11775(a,2),5200(a,2)),flip(a)]. 11778 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(11777(a,1),9259(a,1,1,1))]. 11779 x * (a(1 / y,y,x) / x) = x * (1 / L(x,y,y \ 1)). [para(11657(a,1),3994(a,1)),flip(a)]. 11780 x * (a(y \ 1,y,x) / x) = x * (1 / L(x,y,y \ 1)). [para(4146(a,1),11779(a,1,2,1))]. 11782 K(x,((1 / L(x,y,y \ 1)) * z) \ (x * (a(y \ 1,y,x) / x))) = K(x,z \ x). [para(11780(a,2),11694(a,1,2,2))]. 11783 x / L(x,y,z) = L(x,y,z) \ x. [hyper(1052,a,11661,a)]. 11784 (L(x,y,z) \ x) * L(x,y,z) = x. [para(11783(a,1),16(a,1,1))]. 11785 (L(x,y,z) \ x) \ x = L(x,y,z). [para(11783(a,1),59(a,1,1))]. 11786 (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(11784(a,1),7706(a,1,1,2,1,2))]. 11787 (L(x,y,z) \ x) * T((L(x,y,z) \ x) \ x,u) = x * K(L(x,y,z),u). [para(11785(a,1),6437(a,2,2,1))]. 11788 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(11785(a,1),7024(a,2,1,1))]. 11789 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(11355(a,1),11788(a,1,1))]. 11790 x / ((L(x,y,z) \ 1) * x) = L((x \ 1) \ 1,y,z). [para(11789(a,1),57(a,1,2))]. 11791 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(11789(a,1),4110(a,2,1))]. 11792 (x * (y * ((x \ 1) / y))) / ((L(x * (y * ((x \ 1) / y)),z,u) \ 1) * (x * (y * ((x \ 1) / y)))) = L(K(x \ (y \ 1),y) \ 1,z,u). [para(10966(a,1),11790(a,2,1,1))]. 11793 K(T(x,y),T(z,u * L(x,w,v5))) = K(T(x,y),T(z,u)). [para(11723(a,2),8785(a,1))]. 11794 K(T(x,y),T(z,y)) = K(R(x,y,L(x,u,w)),z). [para(11793(a,1),8873(a,1))]. 11795 K(R(x,y,L(x,z,u)),w) = K(x,w). [para(11794(a,1),8747(a,1))]. 11797 K(x,y) * R(x,z,L(x,u,w)) = T(R(x,z,L(x,u,w)),y). [para(11795(a,1),5214(a,2,1)),flip(a)]. 11799 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [para(11795(a,1),8754(a,1))]. 11800 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [para(11799(a,1),8747(a,1))]. 11801 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(11800(a,1),5195(a,2,1,1))]. 11803 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [para(11801(a,2),5195(a,2)),flip(a)]. 11804 K(x,y) * R(x,z,L(x,u,w)) = R(T(x,y),z,L(x,u,w)). [para(11797(a,2),42(a,2)),flip(a)]. 11805 K(a(x \ 1,x,y) \ z,y) = K(z,y). [para(11675(a,1),9062(a,1))]. 11806 K(x,a(y \ 1,y,x) \ z) = (x \ K(z,x)) \ (x \ 1). [para(11805(a,1),5628(a,1,1,2)),flip(a)]. 11808 K(x,a(y \ 1,y,x) \ z) = K(x,z). [para(11806(a,2),5628(a,1))]. 11809 K(x,a(y \ 1,y,x) / z) = K(x,z \ 1). [para(11808(a,1),6524(a,1))]. 11810 K(x,y \ a(z \ 1,z,x)) = K(x,y \ 1). [para(11809(a,1),11159(a,1)),flip(a)]. 11811 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(18,a,10284,a,b,11692,a)]. 11812 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(11811(a,1),8474(a,1)),flip(a)]. 11813 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [para(11812(a,1),10269(a,2))]. 11814 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(59(a,1),11813(a,1,2,2,1,2))]. 11815 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [para(11814(a,1),7214(a,1)),flip(a)]. 11816 T(x,K(y,z \ (x \ u))) = T(x,K(y,z \ u)). [para(11702(a,1),8440(a,1))]. 11817 K(x,y \ (x \ z)) * T(x,K(u,y \ z)) = T(x,T(y \ (x \ z),u)). [para(11816(a,1),9587(a,1,2))]. 11818 K(x \ (y * (z * K(u,w))),w) = K(x \ (y * z),w). [para(11713(a,2),5351(a,1))]. 11819 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(82(a,1),11818(a,1,1,2,2))]. 11820 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(308(a,1),11819(a,2,1))]. 11821 K((x * (y * z)) / u,T(z,x * (y * z))) = K(u \ (x * (z * y)),z). [para(11819(a,1),8818(a,2))]. 11822 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [para(11733(a,2),8425(a,1))]. 11823 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [para(11822(a,1),10183(a,1)),flip(a)]. 11824 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(16(a,1),11823(a,1,2,2)),flip(a)]. 11825 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(11824(a,1),5201(a,1,2,1))]. 11826 K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) = K(x,z \ x). [para(11761(a,1),11774(a,1)),flip(a)]. 11827 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(10915,a,11762,a)]. 11828 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(11827(a,1),5200(a,2,2)),flip(a)]. 11829 T(x,T(y / (x \ z),u)) = T(x,T((z / y) \ x,u)). [para(11828(a,1),5200(a,2)),flip(a)]. 11830 T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). [para(11829(a,1),10807(a,1))]. 11831 T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). [para(57(a,1),11830(a,1,2,1,1)),flip(a)]. 11832 K(R(x,y,z),L(x,u,x) * w) = K(R(x,y,z),x * w). [para(11589(a,1),8234(a,1))]. 11833 (x * y) * R(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(8551(a,1),11614(a,2,1))]. 11834 K((x * (y * z)) / u,T(z,x * y)) = K(u \ (x * (z * y)),z). [para(11821(a,1),11595(a,1)),flip(a)]. 11835 R(T(x,y),z,L(T(x,y),u,w)) = R(T(x,y),z,L(x,u,w)). [para(11617(a,1),6915(a,1))]. 11837 (x * (K(y,y \ x) * z)) / (x * z) = L(K(y,y \ x),z,x). [para(8560(a,1),11769(a,1,1)),flip(a)]. 11839 T(L(x,y,z),u) * (L(x,y,z) \ x) = x * K(L(x,y,z),u). [para(11787(a,1),284(a,1)),flip(a)]. 11840 L(T(x,y),z,u) * (L(x,z,u) \ x) = x * K(L(x,z,u),y). [para(40(a,2),11839(a,1,1))]. 11841 L(T(x,y),z,u) \ (x * K(L(x,z,u),y)) = L(x,z,u) \ x. [hyper(68,a,11840,a)]. 11842 T(x,R(x,y,z) * u) \ (x * K(L(x,u,R(x,y,z)),u)) = L(x,u,R(x,y,z)) \ x. [para(1059(a,1),11841(a,1,1))]. 11843 K(x,T((y * z) / u,y * z)) = K(x,u \ ((y * K(w,x)) * z)). [para(11652(a,1),11445(a,1)),flip(a)]. 11844 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [para(11843(a,1),7485(a,1))]. 11846 K(x,y \ ((x * (z / x)) * u)) = K(x,y \ (z * u)). [para(5596(a,1),11844(a,1,2,2,1)),flip(a)]. 11847 K(x,(x * y) \ (T((x * y) / z,u) * x)) = K(x,T(z \ (x * y),u) / y). [para(11760(a,1),10849(a,1)),flip(a)]. 11848 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [para(11820(a,2),10752(a,1))]. 11850 K(x,y \ (x \ (T((x * y) / z,u) * x))) = K(x,T(z \ (x * y),u) / y). [para(11847(a,1),10779(a,1)),flip(a)]. 11851 K(x,y \ T(T((x * y) / z,u),x)) = K(x,T(z \ (x * y),u) / y). [para(32(a,2),11850(a,1,2,2))]. 11852 K(x,T(y \ (x * z),u) / z) = K(x,z \ T((x * z) / y,u)). [para(11851(a,1),7623(a,1))]. 11853 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ T((x * z) / y,y)). [para(11852(a,1),11758(a,2))]. 11854 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ (y \ (x * z))). [para(106(a,1),11853(a,2,2,2))]. 11855 K(x,(x * y) \ ((z \ (x * y)) * x)) = K(x,y \ (z \ (x * y))). [para(11854(a,1),10849(a,1)),flip(a)]. 11856 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [para(11855(a,1),11746(a,1)),flip(a)]. 11857 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [para(11856(a,1),8943(a,1))]. 11858 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(10731(a,1),11857(a,1,2))]. 11859 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),x * (w \ 1)). [para(11576(a,2),11832(a,1))]. 11860 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),w \ x). [para(11859(a,2),6828(a,1))]. 11862 K(x,((y * x) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [para(11860(a,1),11520(a,1)),flip(a)]. 11864 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(790(a,1),11763(a,1,2,1))]. 11865 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [para(11778(a,1),7488(a,1)),flip(a)]. 11866 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [para(11865(a,1),9904(a,2))]. 11867 K(a(x,y,z),x) = 1. [para(11866(a,1),6112(a,1))]. 11869 T(a(x,y,z),x) = a(x,y,z). [hyper(37,a,11867,a)]. 11871 T(x,a(x,y,z)) = x. [hyper(35,a,11869,a)]. 11872 a(x,y,z) * x = x * a(x,y,z). [para(11869(a,1),104(a,1,2)),flip(a)]. 11873 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(4146(a,2),11869(a,1,1))]. 11874 L(x,y,z) * a(x,u,w) = a(x,u,w) * L(x,y,z). [para(11871(a,1),145(a,1,2,1)),flip(a)]. 11876 (K(x,y) / z) * a(K(x,y) / z,z,K(y,x)) = 1 / (z * K(y,x)). [para(11872(a,1),11261(a,1))]. 11877 ((x * L(y,z,u)) * a(y,w,v5)) \ ((x * (a(y,w,v5) * L(y,z,u))) * a(y,w,v5)) = L(a(y,w,v5),L(y,z,u),x). [para(11874(a,1),1040(a,2,2,1,2)),flip(a)]. 11878 K(x,y * (1 / (z * K(x,u)))) = K(x,y * (K(u,x) / z)). [para(11876(a,1),11277(a,1,2,2))]. 11879 K(x,y * ((z * K(x,u)) \ 1)) = K(x,y * (K(u,x) / z)). [para(11878(a,1),7222(a,1)),flip(a)]. 11880 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(544(a,1),11864(a,1,2,2))]. 11881 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [para(11553(a,1),7473(a,1)),flip(a)]. 11883 K(x,((1 / L(x,y,y \ 1)) * z) \ (x * (x \ a(y \ 1,y,x)))) = K(x,z \ x). [para(11782(a,1),11697(a,1)),flip(a)]. 11884 K(x,((1 / L(x,y,y \ 1)) * z) \ a(y \ 1,y,x)) = K(x,z \ x). [para(14(a,1),11883(a,1,2,2))]. 11886 K(x,((L(x,y,y \ 1) \ 1) * z) \ a(y \ 1,y,x)) = K(x,z \ x). [para(11884(a,1),7230(a,1)),flip(a)]. 11887 K(x,((L(x,y,y \ 1) \ 1) * z) \ 1) = K(x,z \ x). [para(11886(a,1),11810(a,1)),flip(a)]. 11889 (x * (y * T(z,u))) / (x * (y * z)) = L(K(z,T(u,x * y)),y * z,x). [para(8537(a,1),11596(a,1,1)),flip(a)]. 11890 (x * (y * T(z,u))) / (x * (y * z)) = K(L(z,y,x),T(u,x * y)). [para(11889(a,2),7048(a,1))]. 11891 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [para(11825(a,1),5201(a,1))]. 11892 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [para(11891(a,2),10259(a,1))]. 11893 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [para(11892(a,1),10259(a,1)),flip(a)]. 11894 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(8248(a,1),11893(a,1,2))]. 11895 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [para(11894(a,1),11307(a,1))]. 11896 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [para(11895(a,1),10268(a,1))]. 11897 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [para(11896(a,1),8435(a,1)),flip(a)]. 11898 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [para(11897(a,1),11309(a,1)),flip(a)]. 11899 K(x,K(y,a(z,x,T(u,x)))) = 1. [para(11898(a,2),9749(a,1))]. 11900 K(x,K(y,a(z,x,u))) = 1. [para(126(a,1),11899(a,1,2,2,3))]. 11902 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(11900(a,1),8416(a,1,2)),flip(a)]. 11904 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(71,a,11902,a(flip)),flip(a)]. 11905 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [para(11904(a,1),8638(a,1)),flip(a)]. 11906 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(11905(a,1),104(a,1,2)),flip(a)]. 11907 T(x,R(x,y,z) * u) \ (x * K(x,u)) = L(x,u,R(x,y,z)) \ x. [para(9419(a,1),11842(a,1,2,2))]. 11908 K(R(x,y,z) * u,x) * K(x,u) = L(x,u,R(x,y,z)) \ x. [para(11907(a,1),5535(a,1)),flip(a)]. 11910 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [para(11718(a,1),10785(a,1))]. 11912 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [para(11910(a,1),10957(a,1))]. 11913 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(28(a,2),11912(a,2,2))]. 11915 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5352(a,1),11913(a,1,2,2)),flip(a)]. 11916 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(11915(a,1),5589(a,1,2,2)),flip(a)]. 11917 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [para(11916(a,2),5589(a,1))]. 11918 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(5158(a,1),11917(a,1,1,2)),flip(a)]. 11919 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [para(11918(a,1),11881(a,1)),flip(a)]. 11920 K(L(x,y * (x \ z),u),y) = K(x,L(y,z,u)). [para(11919(a,1),9915(a,1))]. 11922 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(18,a,6346,a(flip),b,11791,a)]. 11923 K((x \ y) \ z,R(T(z,u),w,v5)) = K(y \ (x * z),R(T(z,u),w,v5)). [para(11132(a,1),5912(a,1))]. 11924 K((x \ 1) \ y,R(T(y,z),u,w)) = K(x * y,R(T(y,z),u,w)). [para(48(a,1),11923(a,2,1))]. 11925 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). [para(11249(a,2),3601(a,1))]. 11926 K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). [para(423(a,1),11925(a,1,2))]. 11927 K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). [para(11926(a,1),3601(a,1))]. 11928 T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(28(a,2),11360(a,1,2,2))]. 11929 T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. [para(24(a,2),11928(a,2,1,1))]. 11930 K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). [para(11929(a,1),5169(a,2,2))]. 11931 a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). [para(11930(a,2),2067(a,1,2))]. 11932 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [para(11511(a,2),11268(a,1))]. 11933 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [para(11932(a,2),8756(a,1))]. 11935 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [para(11933(a,2),11073(a,1))]. 11936 K((L(x,y,z) \ u) \ w,T(x,w)) = K((u / w) \ L(x,y,z),x). [para(11935(a,1),8817(a,1)),flip(a)]. 11937 K(x / (L(y,z,u) \ w),y) = K((w / x) \ L(y,z,u),y). [para(11936(a,1),8795(a,1)),flip(a)]. 11938 K(x / (y / L(z,u,w)),z) = K((y / x) \ L(z,u,w),z). [para(11937(a,1),11563(a,2))]. 11939 K((x * L(y,z,u)) / w,y) = K((w / x) \ L(y,z,u),y). [para(11938(a,1),7548(a,2))]. 11940 K((x * T(L(y,z,u),w)) / w,y) = K((w / x) \ L(y,z,u),y). [para(11939(a,1),11565(a,2))]. 11941 K((x * L(T(y,z),u,w)) / z,y) = K((z / x) \ L(y,u,w),y). [para(40(a,2),11940(a,1,1,1,2))]. 11942 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(11858(a,1),9611(a,1)),flip(a)]. 11943 K((x * y) / x,T((z / u) * ((x * y) / x),z)) = K(y,T(T(y * (z / u),u),x)). [para(10951(a,2),10404(a,1))]. 11944 K((x * ((y / z) \ u)) / x,T((y / z) * ((x * ((y / z) \ u)) / x),y)) = K((y / z) \ u,T(T(u,z),x)). [para(11943(a,2),5744(a,1))]. 11945 T(x / T(y,L(y,z,u) * (y \ x)),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(7804(a,1),10952(a,1,1))]. 11946 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = L(x,z,u) \ (x \ (y * L(x,z,u))). [para(7344(a,1),11945(a,1,1))]. 11947 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = x \ (L(x,z,u) \ (y * L(x,z,u))). [para(11946(a,2),865(a,1))]. 11948 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = x \ T(y,L(x,z,u)). [para(32(a,2),11947(a,2,2))]. 11949 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [para(11071(a,2),11436(a,1))]. 11950 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(11949(a,2),6520(a,1))]. 11952 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6476(a,1),11950(a,1,2,2))]. 11953 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R((T(x,y) \ 1) \ K(y,x),u,w)). [para(5141(a,2),11286(a,1,2,1,2)),flip(a)]. 11954 K(x,T((1 / (1 / (y \ (L(x,z,u) \ w)))) \ 1,y)) = K(x,(w / y) \ L(x,z,u)). [para(11486(a,1),11507(a,1)),flip(a)]. 11955 K(x,T(1 / (y \ (L(x,z,u) \ w)),y)) = K(x,(w / y) \ L(x,z,u)). [para(59(a,1),11954(a,1,2,1))]. 11957 K(x,y / (L(x,z,u) \ w)) = K(x,(w / y) \ L(x,z,u)). [para(11955(a,1),9760(a,1)),flip(a)]. 11958 K((x * (T(y,x * z) * z)) / u,T(y,x * z)) = K(u \ (L(y,z,x) * (x * z)),y). [para(11000(a,2),11270(a,1))]. 11959 K((x * (y * z)) / u,T(z,x * y)) = K(u \ (L(z,y,x) * (x * y)),z). [para(11958(a,1),11289(a,1)),flip(a)]. 11960 K(x \ (L(y,z,u) * (u * z)),y) = K(x \ (u * (y * z)),y). [para(11959(a,1),11834(a,1))]. 11961 K(x \ (L(y,z,u) * (u * z)),y) = K(x \ (u * (z * y)),y). [para(11960(a,2),11819(a,2)),flip(a)]. 11962 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(10729(a,1),11237(a,1,2))]. 11963 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,L(K(x,y),z,u)). [para(6332(a,1),11962(a,2,3))]. 11964 (x * K(y * x,x \ (y \ 1))) / (z \ x) = ((y \ (((y * x) \ 1) \ 1)) / x) * z. [para(11368(a,1),11387(a,1,1,2))]. 11966 (x \ (((x * y) \ 1) \ 1)) / (z \ y) = ((x \ (((x * y) \ 1) \ 1)) / y) * z. [para(11384(a,1),11964(a,1,1))]. 11967 (x \ (((x * y) \ 1) \ 1)) / (z \ y) = K(x * y,y \ (x \ 1)) * z. [para(11398(a,1),11966(a,2,1))]. 11968 K(x * y,y \ (x \ 1)) * (y * x) = ((y * x) \ 1) \ 1. [para(11967(a,1),11477(a,1))]. 11969 (x * y) * K(y * x,x \ (y \ 1)) = ((x * y) \ 1) \ 1. [para(11968(a,1),4982(a,1)),flip(a)]. 11970 (((x * y) \ 1) \ 1) * K(y,x) = ((y * x) \ 1) \ 1. [para(11968(a,1),11363(a,1)),flip(a)]. 11971 (x * y) * ((y * x) * (1 / (x * y))) = ((y * x) \ 1) \ 1. [para(11970(a,1),5874(a,2))]. 11972 T(x * y,(y * x) \ 1) = ((x * y) \ 1) \ 1. [para(11971(a,1),5880(a,1)),flip(a)]. 11973 ((x * y) \ 1) \ K(y,x) = ((y * x) \ 1) \ 1. [para(11972(a,1),5872(a,2))]. 11974 ((x * y) * (1 / (y * x))) * (y * x) = ((x * y) \ 1) \ 1. [para(11972(a,1),6738(a,2))]. 11975 (K(x,y) / x) * T((y * x) / y,z \ ((y \ (y * x)) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(10949(a,1),10946(a,1,2))]. 11976 ((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(5336(a,1),11012(a,1,1,1))]. 11977 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(16(a,1),11123(a,2,1))]. 11978 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [para(11977(a,2),7844(a,1)),flip(a)]. 11979 K(x,y * (((1 / z) * (K(x,u) * z)) * z)) = K(x,y * ((z \ 1) \ K(u,x))). [para(11260(a,1),10467(a,1)),flip(a)]. 11980 K(x,y * (z * L(K(x,u),z,z \ 1))) = K(x,y * ((z \ 1) \ K(u,x))). [para(9169(a,1),11979(a,1,2,2))]. 11981 K(x,y * ((z \ 1) \ K(u,x))) = K(x,y * z). [para(11980(a,1),10707(a,1))]. 11982 K(x,y * (z \ K(u,x))) = K(x,y * (z \ 1)). [para(11981(a,1),7211(a,1)),flip(a)]. 11985 K(x,y * (K(z,x) / u)) = K(x,y * (u \ 1)). [para(11982(a,1),10562(a,2))]. 11987 K((x \ y) \ y,T(z \ (((x \ y) \ y) * u),K(w,v5))) = K((x \ y) \ y,T(z \ (u * T(x,x \ y)),K(v5,w))). [para(8502(a,1),11441(a,1,2))]. 11988 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = T(y * (z * K(x \ y,x)),K(y,x)). [para(10775(a,1),11471(a,2,2))]. 11989 (K(x,y) / x) * T((y * x) / y,z \ (x * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(13(a,1),11975(a,1,2,2,2,1))]. 11990 K(x,T(y \ (z * ((u * x) / u)),u)) = K(x,T(y \ (x * z),u)). [para(11989(a,1),9223(a,1))]. 11991 K((x * y) / x,z \ (u * ((x * y) / x))) = K(y,T(z \ (y * u),x)). [para(11990(a,1),8758(a,2))]. 11992 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),(1 / (x \ y)) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [para(11991(a,1),10851(a,2))]. 11993 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2119(a,1),11976(a,1,1,2)),flip(a)]. 11994 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(7466(a,1),11993(a,2,1))]. 11995 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(11994(a,2),7646(a,2)),flip(a)]. 11996 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2127(a,1),11995(a,1,1,1))]. 11997 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5336(a,1),11996(a,1,1))]. 11998 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [para(11997(a,2),8502(a,1))]. 11999 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(2114(a,1),11998(a,1,2))]. 12000 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(11999(a,1),5172(a,1,1))]. 12001 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [para(10918(a,1),5780(a,1))]. 12002 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(5367(a,1),12001(a,1,2)),flip(a)]. 12003 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(z,x),u,w),v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(10727(a,1),11051(a,1,2,2,2,1))]. 12004 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = L(a(v5,w,K(x,y)),z,u). [para(12003(a,1),4903(a,1)),flip(a)]. 12005 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [para(12004(a,1),11963(a,1)),flip(a)]. 12006 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [para(6472(a,1),12005(a,1,3)),flip(a)]. 12007 a(x,y,a(z,u,K(y,w))) = 1. [hyper(34,a,12006,a)]. 12008 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,y \ (y * x)). [para(10789(a,2),6528(a,1))]. 12009 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,x). [para(13(a,1),12008(a,2,2))]. 12010 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),y \ (y * x)) = K(x \ z,x). [para(12009(a,1),6528(a,1)),flip(a)]. 12011 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),x) = K(x \ z,x). [para(13(a,1),12010(a,1,2))]. 12012 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [para(12011(a,1),10751(a,1)),flip(a)]. 12013 K((x / y) \ z,T(T((x / y) * ((u * ((x / y) \ z)) / u),x),u)) = K((x / y) \ z,T(T(z,y),u)). [para(11944(a,1),8758(a,1)),flip(a)]. 12014 K((x / y) \ z,T(T(((x / y) \ z) * (x / y),x),u)) = K((x / y) \ z,T(T(z,y),u)). [para(12013(a,1),10404(a,1)),flip(a)]. 12015 K((x / y) \ z,T(T(z,y),u)) = K((x / y) \ z,T(T(z,x),u)). [para(12014(a,1),5744(a,1))]. 12016 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [para(11992(a,1),7214(a,1)),flip(a)]. 12017 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(8502(a,1),12000(a,1,1))]. 12018 K((((x \ y) \ 1) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [para(12016(a,1),6623(a,1)),flip(a)]. 12019 K((x \ y) * (((x \ y) \ 1) * ((z * u) / z)),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [para(12018(a,1),5920(a,2))]. 12020 K(L((x * y) / x,(z \ u) \ 1,z \ u),((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [para(153(a,1),12019(a,1,1))]. 12021 K((x * y) / x,((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [para(12020(a,1),9434(a,1)),flip(a)]. 12022 K((x * y) / x,((z \ u) \ 1) * (x \ (x * y))) = K(y,T(u \ (y * z),x)). [para(12021(a,1),8622(a,1)),flip(a)]. 12024 K((x * y) / x,((z \ u) \ 1) * y) = K(y,T(u \ (y * z),x)). [para(13(a,1),12022(a,1,2,2))]. 12025 K(x,T(((y \ z) \ 1) * x,u)) = K(x,T(z \ (x * y),u)). [para(12024(a,1),8758(a,1)),flip(a)]. 12026 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (x * y),u)). [para(12025(a,1),9535(a,1)),flip(a)]. 12027 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [para(12026(a,2),11756(a,1))]. 12028 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(13(a,1),12027(a,1,2,1,1)),flip(a)]. 12029 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(4349(a,1),12028(a,1,2,1)),flip(a)]. 12030 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [para(12029(a,1),11615(a,1))]. 12031 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [para(12030(a,1),11754(a,1))]. 12032 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [para(12031(a,1),8943(a,1))]. 12033 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(12032(a,1),9390(a,1)),flip(a)]. 12034 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,w \ x). [para(12033(a,2),8765(a,1))]. 12036 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(u,y)),K(u,y),K(y,z)),K(y,z)). [para(139(a,1),10900(a,1,1)),flip(a)]. 12037 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(y,u)),K(u,y),K(y,z)),K(y,z)). [para(8502(a,1),12036(a,2,1,1))]. 12038 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). [para(12037(a,2),40(a,2)),flip(a)]. 12039 L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). [para(12038(a,1),11011(a,1))]. 12040 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),12002(a,2,1,1))]. 12041 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [para(12040(a,2),11416(a,1))]. 12042 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),12041(a,1,1,1))]. 12044 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(13(a,1),12042(a,1,2,2))]. 12045 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(6332(a,1),12044(a,1,2,1,3))]. 12046 K(x,T(y,z * (K(x,u) * w))) = (x \ K(x,z * w)) * T((x \ 1) \ K(z * (w * K(x,v5)),x),y). [para(8665(a,1),10899(a,1,1,2)),flip(a)]. 12047 K(x,T(y,z * (K(x,u) * w))) = (x \ K(x,z * w)) * T((x \ 1) \ K(z * w,x),y). [para(551(a,1),12046(a,2,2,1,2,1,2))]. 12049 K(x,T(y,z * (K(x,u) * w))) = K(x,T(y,z * w)). [para(12047(a,2),9222(a,1))]. 12050 K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). [para(5352(a,1),12049(a,1,2,2,2)),flip(a)]. 12051 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(12050(a,1),11506(a,1,1))]. 12052 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [para(12051(a,1),9770(a,1)),flip(a)]. 12054 ((x * (y * z)) * L(u * (L(z \ 1,z,y) / u),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5089(a,2),10997(a,1,1,2))]. 12055 K(T((x / y) / z,u),T((x / y) / z,u) \ 1) = K((z * y) \ x,x \ (z * y)). [para(11402(a,2),5978(a,1))]. 12056 K((x / y) / z,z / (x / y)) = K((z * y) \ x,x \ (z * y)). [para(12055(a,1),3126(a,1)),flip(a)]. 12057 K((x * y) \ z,z \ (x * y)) = K(x \ (z / y),(z / y) \ x). [para(12056(a,1),3212(a,1))]. 12058 K(x \ (1 / y),(1 / y) \ x) = K(y \ (x \ 1),x * y). [para(12057(a,1),11394(a,1))]. 12059 (1 / x) * (1 / (1 / ((1 / x) \ y))) = y * K(x \ (y \ 1),y * x). [para(12058(a,1),2013(a,1,2)),flip(a)]. 12060 (1 / x) * (1 / (1 / ((1 / x) \ (y / x)))) = (y / x) * K(x \ ((y / x) \ 1),y). [para(16(a,1),12059(a,2,2,2))]. 12061 (1 / x) * (1 / (1 / ((1 / x) \ (y / x)))) = (y / x) * K(y \ 1,y). [para(11393(a,1),12060(a,2,2))]. 12062 x \ (1 / (1 / (x * (y / x)))) = (y / x) * K(y \ 1,y). [para(12061(a,1),11350(a,1)),flip(a)]. 12064 K((x / y) \ (y \ 1),y * (x / y)) = K(x \ 1,x). [hyper(11351,a,12062,a)]. 12065 (x * (y / x)) * (K(y \ 1,y) * z) = (1 / (1 / (x * (y / x)))) * z. [para(12064(a,1),11395(a,1,2,1))]. 12066 x * (K(y \ 1,y) * (y / x)) = 1 / (1 / (x * (y / x))). [hyper(5039,a,12065,a)]. 12067 1 / (1 / (x * (y / x))) = x * ((1 / (1 / y)) / x). [para(3814(a,1),12066(a,1,2)),flip(a)]. 12068 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(11739(a,2),7530(a,1))]. 12070 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(x,u,w)). [para(12068(a,2),11738(a,1))]. 12072 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R(T(x,x \ 1),u,w)). [para(5652(a,1),11953(a,2,2,1))]. 12073 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R(x,u,w)). [para(12072(a,2),3638(a,1))]. 12075 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,w))) = K(x,T(y \ (z * T(x,x \ 1)),K(w,u))). [para(11987(a,2),3074(a,1))]. 12076 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,x))) = K(x,y \ (z * T(x,x \ 1))). [para(12075(a,2),7974(a,1))]. 12077 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,x))) = K(x,y \ (z * x)). [para(12076(a,2),7263(a,1))]. 12078 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(x,u))) = K(x,y \ (z * x)). [para(8502(a,1),12077(a,1,2))]. 12079 ((x * (y * z)) * L(L(u * ((z \ 1) / u),z,y),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5089(a,2),12054(a,1,1,2,1))]. 12080 (x * ((y * z) * L(u * ((z \ 1) / u),z,y))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(89(a,1),12079(a,1,1))]. 12081 (x * (y * (z * (u * ((z \ 1) / u))))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(89(a,1),12080(a,1,1,2))]. 12082 (x * (y * K(z,u \ (z \ 1)))) \ (x * y) = K((x * (y * u)) \ (z \ (x * y)),z). [para(10826(a,1),12081(a,1,1,2,2))]. 12083 K((x * (y * z)) \ (u \ (x * y)),u) = L(K(z \ (u \ 1),u),y,x). [para(12082(a,1),10840(a,1))]. 12084 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z * u,y,x) \ 1,u). [para(12083(a,2),6880(a,1))]. 12085 K(L(x * y,z,u) \ 1,y) = K(L(x,z,u) \ (y \ 1),y). [para(12084(a,1),11184(a,1))]. 12086 K(x,T(y,R(x,z,u) * w)) = T(v5 * K(T(y,w),x),K(T(y,w),v6)) \ T(v5,K(T(y,w),v6)). [para(11282(a,1),11221(a,1,1,1,2)),flip(a)]. 12087 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(12086(a,2),11219(a,1))]. 12089 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),12087(a,1,2,2)),flip(a)]. 12090 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(100(a,1),12087(a,1,2,2))]. 12091 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [para(12087(a,2),8537(a,2)),flip(a)]. 12092 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(12089(a,1),9158(a,2))]. 12093 K(x,T((y * R(x,z,u)) / w,w)) = K(x,(w / R(x,z,u)) \ y). [para(12092(a,1),7526(a,1))]. 12095 K((x \ y) \ 1,T(z,K(x,x \ y) * u)) = K((x \ y) \ 1,T(z,(y / x) * u)). [para(5735(a,1),12090(a,1,2))]. 12096 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [para(12090(a,1),11643(a,2))]. 12097 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(106(a,1),12096(a,1,2)),flip(a)]. 12098 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8647,a,12091,a)]. 12099 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(14(a,1),12098(a,1,2,2)),flip(a)]. 12100 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(100(a,1),12098(a,1,2,2))]. 12101 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [para(12099(a,1),10195(a,1)),flip(a)]. 12102 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(59(a,1),12101(a,1,2,2)),flip(a)]. 12103 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [para(12102(a,1),10194(a,1))]. 12104 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(12103(a,1),10237(a,1,2))]. 12105 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [para(12100(a,1),8435(a,1)),flip(a)]. 12106 K(x,K(y,(y * z) * u)) = K(x,K(y,z * u)). [para(12105(a,2),8435(a,1))]. 12107 K(x,K(y,(y * x) * z)) = K(x,K(y,z)). [para(12105(a,2),8519(a,1))]. 12108 R((K(x,K(y,z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(12107(a,1),8726(a,1,1,1,1))]. 12109 K(x,K(y,(z * y) * u)) = K(x,K(y,z * u)). [para(7636(a,2),12106(a,1,2))]. 12110 K(x,(y / R(x,z,u)) \ w) = K(x,y \ (w * R(x,z,u))). [para(106(a,1),12093(a,1,2)),flip(a)]. 12112 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (w * R(x,y,z))). [para(12110(a,1),7632(a,1)),flip(a)]. 12113 K(x,y \ (R(x,z,u) * w)) = K(x,y \ (w * R(x,z,u))). [para(12112(a,1),10891(a,1)),flip(a)]. 12114 K(x,y \ ((z * u) * R(x,z,u))) = K(x,y \ ((x * z) * u)). [para(100(a,1),12113(a,1,2,2)),flip(a)]. 12115 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(8449(a,1),12104(a,1,2))]. 12117 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(10177(a,1),12115(a,2,1))]. 12118 K((x \ y) \ 1,T(z,K(x,x \ y) * u)) = K(y \ x,T(z,(y / x) * u)). [para(12095(a,2),6464(a,1))]. 12119 K(x \ y,T(z,(x / y) * u)) = K((y \ x) \ 1,T(z,u)). [para(12118(a,1),10231(a,1))]. 12120 K(x \ y,T(z,(x / y) * u)) = K(x \ y,T(z,u)). [para(12119(a,2),6464(a,1))]. 12122 K(x \ y,T(z,u * (x / y))) = K(x \ y,T(z,u)). [para(12120(a,1),9964(a,1)),flip(a)]. 12123 K(((x / y) * x) \ (y * (x / y)),T(z,u * (y \ x))) = K(((x / y) * x) \ (y * (x / y)),T(z,u)). [para(4508(a,1),12122(a,1,2,2,2))]. 12124 ((x * y) * z) \ ((y * x) * z) = R(T(K(y,x),z),x * y,z). [para(8426(a,1),12108(a,1,1)),flip(a)]. 12125 R(T(K(x,y),z),y * x,z) = K((((y * x) * z) \ (y * z)) \ 1,y). [para(12124(a,1),7157(a,2)),flip(a)]. 12126 R(T(K(x,y),z),y * x,z) = K((y * z) \ ((y * x) * z),y). [para(12125(a,2),6464(a,1))]. 12127 R(T(K(x,y),z),y * x,z) = K(R(T(x,z),y,z),y). [para(12126(a,2),9989(a,1))]. 12128 ((x * y) * z) \ ((y * x) * z) = K(R(T(y,z),x,z),x). [para(12127(a,1),12124(a,2))]. 12129 ((x * y) * z) \ ((y * x) * z) = K(R(y,x,z),T(x,z)). [para(12128(a,2),8810(a,1))]. 12130 K(((x / y) * x) \ (y * (x / y)),T(z,u)) = K(y / x,T(z,u * (y \ x))). [para(12123(a,1),8962(a,1))]. 12131 K(x / y,T(z,u * (x \ y))) = K(x / y,T(z,u)). [para(12130(a,1),8962(a,1))]. 12132 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [para(11735(a,1),10784(a,1))]. 12133 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [para(12132(a,1),8435(a,1)),flip(a)]. 12135 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(11699(a,1),12133(a,1,2))]. 12136 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [para(12135(a,1),11698(a,1)),flip(a)]. 12137 (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(1354(a,1),11418(a,1,1))]. 12138 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [para(12137(a,2),9233(a,1))]. 12139 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [para(12138(a,1),14(a,1,2))]. 12141 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(11740(a,1),7530(a,1))]. 12143 R((x / L(K(y,z),u,w)) * K(y,z),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(5332(a,1),8104(a,1,1,1,2,1))]. 12144 R((x * L(K(y,z),u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(10839(a,1),12143(a,1,1,1))]. 12145 R(x * (K(y,z) * L(K(z,y),u,w)),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(9857(a,1),12144(a,1,1))]. 12146 R(x * a(y,z,K(u,w)),K(w,u),L(K(w,u) \ 1,z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(11039(a,1),12145(a,1,1,2))]. 12147 R(x * a(y,z,K(u,w)),K(w,u),L(K(u,w),z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(5332(a,1),12146(a,1,3,1))]. 12148 x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)) = x * a(w,u,K(z,y)). [para(12147(a,1),9827(a,1))]. 12149 x / (K(y,z) \ L(1 / K(z,y),u,w)) = x * a(w,u,K(y,z)). [para(5344(a,1),12148(a,1,2,1))]. 12150 x / (K(y,z) \ L(K(y,z),u,w)) = x * a(w,u,K(y,z)). [para(5344(a,1),12149(a,1,2,2,1))]. 12151 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [para(11043(a,1),12150(a,1,2))]. 12152 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(371,a,12151,a)]. 12153 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [para(12151(a,1),438(a,1,1))]. 12154 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [para(12151(a,1),5252(a,1))]. 12155 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(9487(a,1),9492(a,1,1,2,1,1)),flip(a)]. 12156 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),12155(a,2,1,2,1))]. 12158 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(9487(a,1),12156(a,1,1)),flip(a)]. 12159 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2123(a,1),12158(a,2,2))]. 12160 R(x * (K(y,z) * R(K(z,y),u,u \ 1)),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(12159(a,1),8308(a,1,1))]. 12161 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [para(12159(a,1),9852(a,2))]. 12162 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [para(12161(a,1),15(a,1))]. 12163 R(x * a(K(y,z),u,u \ 1),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(5441(a,1),12160(a,1,1,2))]. 12164 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [para(12163(a,1),9496(a,1))]. 12165 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4138,a,12164,a)]. 12166 K(x,a(K(y,z),u,u \ 1)) = 1. [para(12165(a,1),11560(a,1,2))]. 12167 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(37,a,12166,a)]. 12168 T(x,a(K(y,z),u \ 1,u)) = x. [para(3783(a,1),12167(a,1,2))]. 12169 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(35,a,12168,a)]. 12170 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [para(12169(a,2),3764(a,2)),flip(a)]. 12171 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5448(a,2),12170(a,1,1))]. 12172 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(12171(a,1),8245(a,2))]. 12173 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(12172(a,1),8001(a,2))]. 12174 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(10447,a,12173,a)]. 12175 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2496(a,1),12174(a,1,2,2))]. 12176 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [para(12175(a,2),8474(a,1))]. 12177 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(12175(a,1),8437(a,1,2)),flip(a)]. 12178 K(x,K(y,R(z,u,u \ K(z,x)))) = K(x,K(y,z)). [para(12175(a,1),10368(a,2))]. 12179 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(346(a,1),12176(a,1,2,2))]. 12180 (K(x,K(y,z)) * u) \ K(x,K(y,z)) = u \ 1. [para(12176(a,1),10246(a,1,2))]. 12181 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(7212(a,1),12179(a,1,2)),flip(a)]. 12182 (K(x,K(y,z)) * u) \ 1 = u \ K(x,K(y,z)). [para(8492(a,1),12180(a,1,1)),flip(a)]. 12184 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [para(12181(a,1),8474(a,1)),flip(a)]. 12185 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(8801(a,1),12181(a,1,2)),flip(a)]. 12186 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [para(12181(a,1),10193(a,1)),flip(a)]. 12187 (K(x,K(y,z)) * u) \ 1 = u \ K(y,K(z,x)). [para(8449(a,1),12182(a,1,1,1))]. 12188 K(x,K(y / (z \ 1),u)) = K(x,K(y * z,u)). [para(12184(a,2),8474(a,1))]. 12189 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(16(a,1),12186(a,2,2,2))]. 12190 K(x,K(y * z,L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). [para(12188(a,1),11455(a,1))]. 12191 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [para(12189(a,1),8435(a,1)),flip(a)]. 12192 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [para(12191(a,1),10277(a,1)),flip(a)]. 12193 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(12192(a,1),9777(a,1,1))]. 12194 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(12192(a,1),10027(a,1,1))]. 12196 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(8474(a,1),12194(a,1,1))]. 12198 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [para(12196(a,1),10247(a,1)),flip(a)]. 12199 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(57(a,1),12198(a,1,2,2,2))]. 12200 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(8494,a,12193,a)]. 12201 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(57(a,1),12193(a,1,2)),flip(a)]. 12203 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(8413(a,1),12200(a,1,1))]. 12204 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(8449(a,1),12201(a,2,1))]. 12205 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(9780,a,12203,a)]. 12206 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [para(12204(a,1),59(a,1,1))]. 12207 K((T(x,y) / (z \ x)) / z,u) = K(x,K(y,u)). [para(57(a,1),12205(a,1,1,2))]. 12208 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(7724(a,1),12205(a,1,1,1,1))]. 12210 L(x \ y,x,K(y,K(z,u))) = x \ y. [para(12206(a,1),5283(a,2))]. 12211 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(34,a,12210,a)]. 12212 a(K(x * y,K(z,u)),x,y) = 1. [para(13(a,1),12211(a,1,3))]. 12213 a(K(K(x,y),z),u,u \ z) = 1. [para(7742(a,2),12211(a,1,1))]. 12214 a(K(x,K(y,z * u)),z,u) = 1. [para(8413(a,1),12212(a,1,1))]. 12215 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [para(12213(a,2),8477(a,2)),flip(a)]. 12216 T(x,K(y,z / ((z \ u) \ 1))) = x * K(u,K(y,x)). [para(12207(a,1),7753(a,1,2)),flip(a)]. 12217 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [para(12177(a,2),8416(a,1))]. 12218 (K(x,K(y,z)) * u) * (u \ K(y,z)) = K(y,z) * K(z,K(x,y)). [para(12178(a,1),10252(a,1,2)),flip(a)]. 12220 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(8800(a,1),12185(a,1,2))]. 12221 T(x,K(y,z / ((z \ u) \ 1))) = T(x,K(u,y)). [para(12216(a,2),8451(a,1))]. 12223 K(x,K(y,T(z * (u / z),z))) = K(y,K(u,L(x,z \ 1,z))). [para(16(a,1),12190(a,1,2,1)),flip(a)]. 12224 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(12199(a,1),12215(a,2,2))]. 12225 K(x,K(y,T(z * (u / z),z))) = K(x,K(u,L(y,z \ 1,z))). [para(12223(a,1),8435(a,1)),flip(a)]. 12226 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(z,L(y,u \ 1,u))). [para(12225(a,1),12220(a,1)),flip(a)]. 12227 (x / y) \ T(x,K(z,u)) = y * K(z,K(x,L(u,y \ 1,y))). [para(12226(a,1),9323(a,2,2))]. 12228 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,L(u,y \ 1,y))). [para(8435(a,1),12227(a,2,2))]. 12229 (K(x,K(y,z)) * u) * (u \ K(y,z)) = T(K(y,z),x). [para(12218(a,2),8454(a,1))]. 12230 (K(x,K(y,z)) * u) * (u \ K(x,y)) = T(K(x,y),z). [para(8449(a,2),12229(a,1,1,1))]. 12231 T(K(x,y),z) / (u \ K(x,y)) = K(x,K(y,z)) * u. [hyper(74,a,12230,a)]. 12232 K(x,T(y,z)) / (u \ K(x,y)) = K(x,K(y,z)) * u. [para(7973(a,2),12231(a,1,1))]. 12233 K(x,K(y,z)) * (K(x,y) / u) = K(x,T(y,z)) / u. [para(59(a,1),12232(a,1,2)),flip(a)]. 12234 K(x,K(y,z)) * (K(x,T(y,z)) / u) = K(x,y) / u. [hyper(8494,a,12233,a)]. 12235 (K(x,T(y,z)) / u) * K(x,K(y,z)) = T(K(x,y) / u,K(x,K(y,z))). [para(12234(a,1),7445(a,1,1)),flip(a)]. 12236 (K(x,T(y,z)) / u) * K(x,K(y,z)) = T(K(x,y) / u,K(K(x,y),z)). [para(8418(a,2),12235(a,2,2))]. 12237 K(x,(K(y,z) / u) / (u \ 1)) = K(y,K(z,x)). [hyper(17,a,9861,a,b,12236,a),flip(a)]. 12239 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(8449(a,2),12224(a,2,2))]. 12240 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7742(a,1),12239(a,1,1))]. 12241 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5905(a,2),12208(a,1,1))]. 12242 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [para(12241(a,1),8475(a,1)),flip(a)]. 12243 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [para(12242(a,1),12184(a,1)),flip(a)]. 12244 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(16(a,1),12243(a,1,2,2)),flip(a)]. 12245 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(z * y,z \ L(z,u,w))). [para(12244(a,1),8413(a,1)),flip(a)]. 12246 (x * (y * R(x,z,u))) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [para(9487(a,1),10335(a,1,1))]. 12247 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [para(6409(a,1),12246(a,1,2))]. 12249 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1505(a,1),12247(a,1,2))]. 12250 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [para(12249(a,1),24(a,2)),flip(a)]. 12251 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(12250(a,1),14(a,1,2))]. 12252 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(12250(a,1),7094(a,1,1)),flip(a)]. 12253 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(12250(a,1),7552(a,1,2)),flip(a)]. 12254 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(9978(a,2),12250(a,1,2))]. 12255 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [para(12250(a,1),10332(a,2))]. 12256 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(4738(a,1),12252(a,2,1))]. 12257 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(12255(a,1),7761(a,1,1))]. 12258 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(12255(a,1),8727(a,1,1)),flip(a)]. 12259 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),12257(a,1,2,2))]. 12260 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5615,a,12253,a)]. 12261 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(12260(a,1),14(a,1,2))]. 12262 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [para(12260(a,1),1728(a,1)),flip(a)]. 12263 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [para(12262(a,1),8203(a,1))]. 12264 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [para(12258(a,1),12117(a,1))]. 12265 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(9502,a,12264,a)]. 12266 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(12254(a,1),12250(a,1)),flip(a)]. 12267 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(12266(a,1),7200(a,1))]. 12268 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(12267(a,1),4738(a,1)),flip(a)]. 12269 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(9978(a,1),12256(a,1,1))]. 12270 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(12268(a,1),12269(a,2,1))]. 12271 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [para(12270(a,1),12252(a,1)),flip(a)]. 12272 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [para(12263(a,1),7696(a,1)),flip(a)]. 12274 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(7590(a,1),12272(a,2,2,2))]. 12276 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(14(a,1),12274(a,2,2,2,1))]. 12277 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(13(a,1),12276(a,2,2))]. 12279 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [para(12277(a,2),12250(a,1))]. 12280 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(12279(a,1),4738(a,1))]. 12281 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(12279(a,1),7697(a,1))]. 12283 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(2770(a,1),11173(a,2,1,2))]. 12284 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(429(a,1),12283(a,1,1,2,2))]. 12285 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(2820(a,1),12284(a,1,1,2))]. 12286 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [para(12285(a,1),6651(a,1))]. 12287 (K(x,y) \ (K(x,y) * (z / L(y,u,w)))) / (K(x,y) \ 1) = (L(y,u,w) * ((L(y,u,w) \ z) / (K(x,y) \ 1))) / L(y,u,w). [para(7459(a,1),11463(a,1,1,2))]. 12288 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(4900(a,1),11786(a,1,1))]. 12290 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(11784(a,1),12288(a,1,2,1,2))]. 12291 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [para(12290(a,1),2728(a,1)),flip(a)]. 12292 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [para(12291(a,2),6392(a,2))]. 12293 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(1744,a,12292,a)]. 12294 (x \ L(x,y,z)) * (L(x,y,z) \ x) = 1. [para(12293(a,1),14(a,1,2))]. 12295 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [para(12293(a,2),9663(a,1))]. 12296 (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(12295(a,1),9671(a,1,1,2))]. 12297 (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(9670(a,1),12296(a,1,2,1))]. 12298 (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(3853(a,1),12297(a,1,2,2))]. 12299 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(2307(a,1),12298(a,1,2)),flip(a)]. 12301 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(9670(a,1),12299(a,1,2,1))]. 12302 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(12295(a,1),12301(a,1,2)),flip(a)]. 12303 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(9670(a,1),12302(a,2,3))]. 12304 (L(x,y,z) * ((L(x,y,z) \ u) / (K(w,x) \ 1))) / L(x,y,z) = (u / L(x,y,z)) / (K(w,x) \ 1). [para(13(a,1),12287(a,1,1)),flip(a)]. 12306 (L(x,y,z) * ((L(x,y,z) \ u) / (K(w,x) \ 1))) / L(x,y,z) = (u / L(x,y,z)) * K(w,x). [para(12304(a,2),7778(a,1))]. 12307 (L(x,y,z) * ((L(x,y,z) \ u) * K(w,x))) / L(x,y,z) = (u / L(x,y,z)) * K(w,x). [para(7778(a,1),12306(a,1,1,2))]. 12308 (x * K(y,z)) / L(z,u,w) = (x / L(z,u,w)) * K(y,z). [para(10875(a,1),12307(a,1,1))]. 12309 (((x * L(y,z,u)) / L(y,z,u)) * K(w,y)) * K(y,w) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [para(12308(a,1),10499(a,1,1))]. 12311 R(x,L(y,z,u),T(K(w,y),L(y,z,u))) = (x * K(w,y)) * K(y,w). [para(15(a,1),12309(a,1,1,1)),flip(a)]. 12312 R(x,L(y,z,u),T(K(w,y),L(y,z,u))) = x. [para(12311(a,2),7770(a,1))]. 12313 (x * L(y,z,u)) * T(K(w,y),L(y,z,u)) = x * (K(w,y) * L(y,z,u)). [para(12312(a,1),337(a,1,1)),flip(a)]. 12314 (x * (K(y,z) * L(z,u,w))) \ (x * (K(y,z) * L(z,u,w))) = a(x,L(z,u,w),T(K(y,z),L(z,u,w))). [para(12313(a,1),134(a,1,2))]. 12315 a(x,L(y,z,u),T(K(w,y),L(y,z,u))) = 1. [para(12314(a,1),49(a,1))]. 12317 a(x,L(y,z,u),K(w,y)) = 1. [para(3207(a,1),12315(a,1,3))]. 12318 L(K(x,y),L(y,z,u),w) = K(x,y). [hyper(33,a,12317,a)]. 12320 K(L(x \ L(y,z,u),x,w),y) = K(x \ L(y,z,u),y). [para(12318(a,1),7049(a,1)),flip(a)]. 12321 L(K(x,y),L(x,z,u),w) = (((v5 \ v6) \ v6) * K(y,x)) \ T(v5,v5 \ v6). [para(12318(a,1),10841(a,1,1,2)),flip(a)]. 12322 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(T(z,x * y),u,w),T(z,x * y)). [para(12320(a,1),11890(a,2))]. 12323 L(K(x,y),L(x,z,u),w) = K(x,y). [para(12321(a,2),7787(a,1))]. 12324 (1 / L(x,y,z)) \ K(x,u) = L(x,y,z) * K(x,u). [para(12323(a,1),369(a,1,2))]. 12326 K(x,(y \ z) \ L(x,u,w)) = K(x,z \ (y * L(x,u,w))). [para(12323(a,1),10845(a,1))]. 12327 K(x,((L(x,y,z) \ 1) * u) \ 1) = K(x,u \ L(x,y,z)). [para(12323(a,1),11019(a,1)),flip(a)]. 12328 L(x \ y,x,1 / y) * K(x \ y,z) = ((1 / y) * x) \ K(x \ y,z). [para(324(a,1),12324(a,1,1)),flip(a)]. 12329 K(x,y \ L(x,z,z \ 1)) = K(x,y \ x). [para(12327(a,1),11887(a,1))]. 12330 K(x,y \ L(x,z \ 1,z)) = K(x,y \ x). [para(2635(a,1),12329(a,1,2,2))]. 12331 K(x,y \ ((1 / (z / x)) * z)) = K(x,y \ x). [para(2640(a,1),12329(a,1,2,2))]. 12332 K(x,y \ (((z / x) \ 1) * z)) = K(x,y \ x). [para(12331(a,1),7262(a,1)),flip(a)]. 12333 K(x,(((x \ y) \ 1) * y) / z) = K(x,z \ x). [para(12332(a,1),11306(a,2))]. 12334 K(x,T((x \ y) \ 1,y) \ x) = K(x,y). [para(118(a,1),12333(a,1,2)),flip(a)]. 12336 T(x,T((x \ y) \ 1,y) \ x) / (T((x \ y) \ 1,y) \ x) = K(x,y) * (x / (T((x \ y) \ 1,y) \ x)). [para(12334(a,1),5540(a,1,1)),flip(a)]. 12337 (((1 / x) * y) \ 1) * K(y \ x,z) = ((1 / x) * y) \ K(y \ x,z). [para(318(a,1),12328(a,1,1))]. 12338 T(x,T((x \ y) \ 1,y) \ x) / (T((x \ y) \ 1,y) \ x) = K(x,y) * T((x \ y) \ 1,y). [para(57(a,1),12336(a,2,2))]. 12340 T(x,T((x \ y) \ 1,y) \ x) / (T((x \ y) \ 1,y) \ x) = T(K(x,y) * ((x \ y) \ 1),y). [para(12338(a,2),7321(a,2)),flip(a)]. 12341 T(x,T((x \ y) \ 1,y) \ x) / (T((x \ y) \ 1,y) \ x) = T((x \ y) \ K(x,y),y). [para(7602(a,1),12340(a,2,1))]. 12342 T(x,y) / (T((x \ y) \ 1,y) \ x) = T((x \ y) \ K(x,y),y). [para(9936(a,1),12341(a,1,1))]. 12343 x / T((x \ y) \ K(x,y),y) = T(((x \ y) \ 1) \ x,x). [para(12342(a,1),10401(a,1,2))]. 12344 (x * y) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(11011(a,1),8988(a,1,1))]. 12345 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ ((z * K(x,y)) * x). [para(8977(a,1),12344(a,1,2,2)),flip(a)]. 12347 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ (z * T(x,y)). [para(6403(a,1),12345(a,2,2))]. 12348 (x * y) \ (y * T(x,z)) = K(x,z) * K(y * K(x,z),x). [para(8977(a,1),12347(a,1,2,2)),flip(a)]. 12349 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [para(8570(a,1),12348(a,2,2))]. 12350 K(T(x,y),y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(12349(a,1),2274(a,1))]. 12351 K(x,x \ y) * K(y,x) = a(x,y / x,x). [para(12349(a,1),4408(a,1))]. 12353 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [para(12349(a,2),10275(a,1))]. 12354 K(x,y) * K(y,y \ x) = a(y,x / y,y). [para(12351(a,1),2114(a,1)),flip(a)]. 12355 x \ T(y * (x / y),y) = a(y,x / y,y). [para(12354(a,1),7364(a,2))]. 12356 a(x,(y * x) / x,x) = (y * x) \ T(x * y,x). [para(15(a,1),12355(a,1,2,1,2)),flip(a)]. 12357 a(x,(y * x) / x,x) = K(x,y) * K(x * y,x). [para(12356(a,2),10074(a,1))]. 12358 K(x,y) * K(x * y,x) = a(x,y,x). [para(15(a,1),12357(a,1,2)),flip(a)]. 12359 a(x,y,x) * K(x,x * y) = K(x,y). [hyper(7786,a,12358,a)]. 12360 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5452,a,12358,a)]. 12361 K(x * y,x) * K(x,y) = a(x,y,x). [para(12358(a,1),2114(a,1)),flip(a)]. 12362 K(x,x * y) * a(x,y,x) = K(x,y). [para(12358(a,1),5451(a,1,2))]. 12363 x \ R(x,y,x) = a(x,y,x). [para(12358(a,1),5754(a,1)),flip(a)]. 12364 T(x * y,x) / x = y * a(x,y,x). [para(12358(a,1),7847(a,1,2)),flip(a)]. 12365 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(12358(a,1),9724(a,2,2))]. 12366 (x / y) * a(y,z,y) = x / L(y,z,y). [para(12358(a,1),11105(a,1,2))]. 12367 x * a(x,y,x) = R(x,y,x). [para(12363(a,1),14(a,1,2))]. 12368 a(x,y,x) * x = R(x,y,x). [para(12363(a,1),3854(a,1,1))]. 12369 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [para(12363(a,1),7545(a,2))]. 12370 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(12363(a,1),8284(a,1,1))]. 12371 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(12363(a,1),8285(a,1,3))]. 12372 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(12363(a,1),9316(a,1,1)),flip(a)]. 12373 a(x,y * K(x,z),x) = x \ R(x,y,x). [para(12363(a,1),9604(a,1))]. 12374 L(x,y,x) \ 1 = x \ a(x,y,x). [para(12363(a,1),9664(a,1,2)),flip(a)]. 12375 (x * a(y,z,y)) / R(y,z,y) = R(x / y,y,a(y,z,y)). [para(12367(a,1),101(a,2,2)),flip(a)]. 12376 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(12371(a,1),273(a,1,1)),flip(a)]. 12377 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(12374(a,1),7087(a,1,1,2))]. 12378 a(x,x \ y,x) * K(x,y) = K(x,x \ y). [para(14(a,1),12359(a,1,2,2))]. 12379 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (R(a(z,u,z),K(z,z * u),y * x) * (K(z,z * u) * y)) \ (K(z,u) * (y * x)). [para(12359(a,1),817(a,1,2,1)),flip(a)]. 12380 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(7786,a,12361,a)]. 12381 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(14(a,1),12362(a,1,1,2))]. 12382 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(12364(a,1),106(a,1,1))]. 12383 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(12364(a,2),138(a,1,2,2))]. 12384 L(L(a(x,y,x),y,z),z * y,u) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(12364(a,2),308(a,1,2,2,2)),flip(a)]. 12385 (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(12364(a,2),307(a,1,2,2))]. 12386 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [para(12364(a,1),1503(a,2))]. 12387 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (T(y,a(x,y,x)) * z) \ ((T(x * y,x) / x) * z). [para(12364(a,2),7413(a,1,2,1)),flip(a)]. 12388 (K(x,y) * (z \ 1)) * a(z,K(x,y) * (z \ 1),z) = L(K(x,y),z \ 1,z) / z. [para(10331(a,1),12364(a,1,1)),flip(a)]. 12389 (R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). [para(12380(a,1),817(a,1,2,1))]. 12390 a(x,y,x) * K(y,x) = K(y * x,x). [para(12380(a,2),5920(a,2)),flip(a)]. 12391 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(8194(a,1),12380(a,2,1))]. 12392 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(8936(a,1),12380(a,1,2))]. 12393 (x * y) / L(y,z,y) = x * a(y,z,y). [para(15(a,1),12366(a,1,1)),flip(a)]. 12394 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(12369(a,1),3854(a,1,1))]. 12395 a(x,y,T(x,z)) = x \ R(x,y,x). [para(12373(a,1),9762(a,1)),flip(a)]. 12396 a(x,y,T(x,z)) = a(x,y,x). [para(12395(a,2),12363(a,1))]. 12398 (x / L(y,z,y)) * y = x * a(y,z,y). [para(12393(a,1),1025(a,1)),flip(a)]. 12399 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(12393(a,1),10456(a,1,2))]. 12400 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(7875(a,1),12394(a,1,2)),flip(a)]. 12401 R(x / L(y,z,y),y,y \ 1) = (x * a(y,z,y)) * (y \ 1). [para(12398(a,1),154(a,1,1)),flip(a)]. 12402 x * (L(x,y,x) \ z) = z * a(x,y,x). [para(12398(a,1),9127(a,1)),flip(a)]. 12403 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(68,a,12399,a)]. 12404 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(16(a,1),12399(a,1,2)),flip(a)]. 12405 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(10514(a,1),12402(a,1,2,1))]. 12406 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [para(12402(a,1),10524(a,2))]. 12407 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [para(14(a,1),12403(a,1,2)),flip(a)]. 12408 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(17,a,855,a,b,12404,a),flip(a)]. 12409 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [para(12408(a,1),9145(a,1,2))]. 12410 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(12376(a,1),12382(a,1,1))]. 12411 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(12406(a,2),19(a,1))]. 12412 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(12406(a,1),5178(a,1,2))]. 12413 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(12410(a,1),1558(a,1,1)),flip(a)]. 12414 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [para(12370(a,2),9132(a,2))]. 12415 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(12377(a,1),11575(a,1)),flip(a)]. 12416 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [para(12415(a,2),8998(a,1))]. 12418 R(K(x,y),a(x,z,x),u) = K(x,y). [para(12416(a,1),7080(a,1)),flip(a)]. 12420 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(12418(a,1),100(a,1,1)),flip(a)]. 12421 (a(x,y,x) * K(x,z)) * u = K(x,z) * (a(x,y,x) * u). [para(11160(a,1),12420(a,1,1))]. 12422 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(12364(a,1),12386(a,1,1)),flip(a)]. 12423 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(12411,a,12405,a),flip(a)]. 12426 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(18,a,12400,a(flip),b,12414,a(flip)),flip(a)]. 12427 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(7593(a,1),12383(a,1,2,2))]. 12428 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(104(a,1),12427(a,1,2)),flip(a)]. 12429 K(x,y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(5321(a,1),12350(a,1,1))]. 12430 a(T(x,y),y,L(T(x,y),z,u)) = K(x,y) * K(L(x,z,u) * y,x). [para(10173(a,1),12429(a,1,2)),flip(a)]. 12431 a(T(x,y),y,L(T(x,y),z,u)) = L(x,y,L(x,z,u)) \ x. [para(12430(a,2),10271(a,1))]. 12432 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1049(a,1),12353(a,1,2))]. 12433 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [para(12432(a,1),24(a,2)),flip(a)]. 12434 K(x,y) * R(x,z,L(x,u,w)) = T(x,y) * a(x,z,L(x,u,w)). [para(12433(a,1),5175(a,1,2)),flip(a)]. 12435 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [para(12433(a,1),10275(a,2))]. 12436 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(T(x,y),z,L(T(x,y),u,w)). [para(11835(a,1),12433(a,1,2))]. 12437 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [hyper(5452,a,12435,a)]. 12438 x * (K(y,z * L(y,u,w)) * K(z,y)) = x / a(y,z,L(y,u,w)). [para(12435(a,1),9517(a,1,2)),flip(a)]. 12439 K(x,y) * K(y,x * L(y,z,u)) = a(y,x,L(y,z,u)) \ 1. [para(12435(a,1),9900(a,1,1)),flip(a)]. 12440 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(12435(a,1),10501(a,2,2))]. 12441 T(x,y) * a(x,z,L(x,u,w)) = R(T(x,y),z,L(x,u,w)). [para(12434(a,1),11804(a,1))]. 12442 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(x,z,L(x,u,w)). [hyper(68,a,12441,a)]. 12443 x * (K(y,z) * K(z,y * L(z,u,w))) = x / a(z,y,L(z,u,w)). [para(2114(a,1),12438(a,1,2))]. 12444 x * (a(y,z,L(y,u,w)) \ 1) = x / a(y,z,L(y,u,w)). [para(12439(a,1),12443(a,1,2))]. 12445 x / (a(y,z,L(y,u,w)) \ 1) = x * a(y,z,L(y,u,w)). [hyper(18,a,230,a(flip),b,12444,a),flip(a)]. 12446 a(T(x,y),z,L(T(x,y),u,w)) = a(x,z,L(x,u,w)). [para(12436(a,1),12442(a,1))]. 12447 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [para(12446(a,1),12431(a,1)),flip(a)]. 12449 a(x,y,L(x,z,u)) \ x = L(x,y,L(x,z,u)). [para(12447(a,1),11785(a,1,1))]. 12451 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(6505(a,1),12440(a,1,1))]. 12452 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(6807(a,1),12451(a,1,2))]. 12453 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(12452(a,1),11104(a,1)),flip(a)]. 12454 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(10235(a,1),12453(a,1,2))]. 12455 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(12423(a,1),12392(a,1,1)),flip(a)]. 12456 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [para(12455(a,1),11604(a,1))]. 12458 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(8821,a,12456,a)]. 12460 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),12458(a,1,2,2))]. 12461 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(9249(a,1),12458(a,1,1,2))]. 12462 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(9288(a,1),12458(a,1,1))]. 12463 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(9940(a,1),12458(a,1,1))]. 12464 a(x,T(y,z),x) != u * K(x,T(T(y,w),z)) | K(x * T(y,z),T(x,w)) = u. [para(12460(a,1),20(a,1))]. 12465 (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(9848(a,2),12385(a,1,2,2))]. 12466 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). [para(10116(a,1),12462(a,1,1)),flip(a)]. 12467 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). [para(8817(a,1),12466(a,2,2))]. 12469 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(3604(a,1),12463(a,1,1))]. 12470 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(89(a,1),12465(a,1,2)),flip(a)]. 12471 K(((x \ y) \ 1) * z,T(y \ x,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9751(a,1),12461(a,1,1))]. 12472 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(8576(a,1),12471(a,1,1))]. 12473 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(10080(a,1),12472(a,1,1))]. 12474 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6464(a,1),12473(a,1,2))]. 12475 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9798(a,1),12474(a,1,2))]. 12476 K(R(x,y,z),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(11571(a,1),9738(a,1,1))]. 12477 K(R(x,y,z),x * u) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(10580(a,1),12476(a,1,1))]. 12479 K(R(x,y,z),x * u) * R((x * (L(u,x,u) * x)) / (x * L(u,x,u)),y,z) = L(R(x,y,z),u,x). [para(1527(a,2),12477(a,1,2))]. 12480 K(R(x,y,z),x * u) * R(x * K(L(u,x,u),x),y,z) = L(R(x,y,z),u,x). [para(5299(a,1),12479(a,1,2,1))]. 12481 K(R(x,y,z),x * u) * R(x * K(u,x),y,z) = L(R(x,y,z),u,x). [para(6356(a,1),12480(a,1,2,1,2))]. 12482 K(R(K(x \ y,x),y,z),K(x \ y,x) * u) * R(K(x \ y,x) * K(u,K(x \ y,x)),y,z) = L((y * z) / ((x * (y / x)) * z),u,K(x \ y,x)). [para(6962(a,2),12481(a,2,1))]. 12484 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(5336(a,1),9903(a,1,1,1))]. 12485 ((K((x * y) / (x * (z \ y)),u) \ 1) \ 1) \ (x * (K(z,u) * y)) = (x * (K(z,u) * y)) * ((L(K(u,T(z,y)),y,x) \ 1) \ 1). [para(6751(a,2),11504(a,1,1,1,1))]. 12486 (K(x,(y * z) / (y * (u \ z))) \ 1) \ (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * ((L(K(x,T(u,z)),z,y) \ 1) \ 1). [para(5332(a,1),12485(a,1,1,1))]. 12487 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * ((L(K(x,T(u,z)),z,y) \ 1) \ 1). [para(12486(a,1),4688(a,1)),flip(a)]. 12488 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * L(K(x,T(u,z)),z,y). [para(6350(a,1),12487(a,2,2))]. 12489 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(12488(a,2),11503(a,1))]. 12490 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(74,a,12489,a),flip(a)]. 12491 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(799(a,1),12489(a,1,1,2))]. 12492 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(12489(a,1),8228(a,1,2)),flip(a)]. 12493 K(x / (y * (K(z,u) * w)),u) = K(x / (y * w),u). [para(12489(a,1),9360(a,1,1,2)),flip(a)]. 12495 K(x / (y * (K(z,u) * w)),z) = K(x / (y * w),z). [para(5352(a,1),12493(a,1,1,2,2)),flip(a)]. 12496 K((x * (K(y,z) * u)) / ((w \ x) * u),y) = R(K(w,y),x,K(y,z) * u). [para(12495(a,1),7088(a,1))]. 12497 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5452,a,12491,a),flip(a)]. 12498 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5352(a,1),12491(a,1,2,2)),flip(a)]. 12499 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(8747(a,1),12491(a,1,1))]. 12500 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(8748(a,1),12492(a,1,2,2))]. 12501 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(17,a,169,a,b,12497,a)]. 12502 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(12497(a,1),7546(a,1))]. 12503 (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(12501(a,2),1663(a,1,2))]. 12504 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(4680,a,12498,a)]. 12505 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(12504(a,1),7955(a,1,1,2)),flip(a)]. 12506 R(K(x,y),R(x,z,u),w) = K(x,y). [para(12505(a,2),5351(a,1))]. 12507 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [para(12506(a,1),9278(a,1)),flip(a)]. 12509 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [para(12500(a,1),9874(a,1))]. 12510 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [para(12509(a,1),9872(a,1))]. 12512 K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). [para(7770(a,1),12510(a,1,2,1)),flip(a)]. 12513 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y,u,w)). [para(12510(a,1),8607(a,2))]. 12514 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,R(y,u,w)). [para(12513(a,1),9389(a,1)),flip(a)]. 12516 K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). [para(12514(a,1),9388(a,1)),flip(a)]. 12518 K(x,R(y,K(x,z) * u,w)) = K(x,R(y,u,w)). [para(5352(a,1),12516(a,1,2,2)),flip(a)]. 12519 K(R(x,K(y,z) * u,w),z) = (v5 * K(z,R(x,u,w))) \ v5. [para(12516(a,1),7769(a,1,1,2)),flip(a)]. 12521 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(367(a,1),12518(a,1,2)),flip(a)]. 12522 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [para(12519(a,2),5351(a,1))]. 12523 K(R(x,T(y,z),u),y) = K(R(x,y,u),y). [para(5158(a,1),12522(a,1,1,2)),flip(a)]. 12524 K(R(x,T(y,z),u),T(y,w)) = T(y,w) \ T(y * K(R(x,y,u),y),w). [para(12523(a,1),5679(a,1,2,1,2)),flip(a)]. 12525 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [para(12490(a,2),12052(a,2))]. 12526 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [para(12525(a,1),6751(a,1))]. 12527 K((T((x \ y) \ 1,x \ y) * (x \ y)) \ (T((x \ y) \ 1,x \ y) * y),z) = K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))). [para(10557(a,1),12525(a,1,1))]. 12528 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = K(x,(y * z) / (y * ((x \ y) \ z))). [para(12526(a,2),10434(a,2))]. 12529 K(x,(y * z) / (y * ((x \ y) \ z))) = L(K(x,x \ y),z,y). [para(12526(a,2),11837(a,1))]. 12530 K(R(x,T(y,z),u),T(y,w)) = K(R(x,y,u),T(y,w)). [para(12524(a,2),5679(a,1))]. 12531 R(K(x,y),z,K(y,u) * w) = K((z * w) / ((x \ z) * w),y). [para(12496(a,1),10979(a,1))]. 12532 R(K(x,y),z,K(y,u) * w) = R(K(x,y),z,w). [para(12531(a,2),7088(a,1))]. 12534 R(K(x,y),z,K(x,u) * w) = (v5 * R(K(y,x),z,w)) \ v5. [para(12532(a,1),7955(a,1,1,2)),flip(a)]. 12535 R(K(x,y),z,K(x,u) * w) = R(K(x,y),z,w). [para(12534(a,2),7955(a,1))]. 12536 R(K(x,y),z,u * K(w,x)) = R(K(x,y),z,u). [para(8746(a,1),12535(a,1,3)),flip(a)]. 12537 R(K(x,y),z,(x \ u) * x) = R(K(x,y),z,u). [para(185(a,1),12536(a,1,3))]. 12538 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = (R(K(y,w),u,z) * (u * z)) \ ((K(y,w) * u) * (z * K(x,y))). [para(12536(a,1),817(a,1,1,1)),flip(a)]. 12539 R(K(x,y),z,T((x \ u) * x,w)) = R(K(x,y),z,T(u,w)). [para(4977(a,2),12537(a,1,3))]. 12540 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(8747(a,1),12499(a,1,2,2,1))]. 12542 (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(12540(a,1),10662(a,1,1))]. 12543 K(x,(y * z) / (y * ((x \ y) \ z))) = R(K(x,x \ y),z,T(y,z)). [para(9744(a,1),12528(a,1,3)),flip(a)]. 12545 R(K(x,x \ y),z,T(y,z)) = L(K(x,x \ y),z,y). [para(12543(a,1),12529(a,1))]. 12546 R(K(x,T(y,x)),z,T(y * x,z)) = L(K(x,x \ (y * x)),z,y * x). [para(32(a,2),12545(a,1,1,2))]. 12547 R(T(K(x,x \ y),z),u,T(y,u)) = T(L(K(x,x \ y),u,y),z). [para(12545(a,1),42(a,2,1))]. 12548 L(K(x,x \ y),z,y) \ K(R(K(x,x \ y),z,T(y,z)),u) = R(K(x,x \ y) * K(u,K(x,x \ y)),z,T(y,z)) \ 1. [para(12545(a,1),5782(a,1,1))]. 12549 R(T(K(x,x \ y),z),u,T(y,u)) = L(T(K(x,x \ y),z),u,y). [para(12547(a,2),40(a,2)),flip(a)]. 12550 R(T(K(x,x \ y),z),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(7973(a,2),12549(a,2,1))]. 12551 R(K(x,T(x \ y,z)),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(7973(a,2),12550(a,1,1))]. 12552 R(K(x,y),z,T(y * x,z)) = L(K(x,x \ (y * x)),z,y * x). [para(5330(a,1),12546(a,1,1))]. 12553 R(K(x,y),z,T(y * x,z)) = L(K(x,T(y,x)),z,y * x). [para(32(a,2),12552(a,2,1,2))]. 12554 R(K(x,y),z,T(y * x,z)) = L(K(x,y),z,y * x). [para(5330(a,1),12553(a,2,1))]. 12555 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(12554(a,1),30(a,1)),flip(a)]. 12556 R(K(x,y),T(z,u),T(y * x,z)) = L(K(x,y),T(z,u),y * x). [para(12554(a,1),9594(a,1)),flip(a)]. 12557 R(K(x,x \ y),T(z,u),T(y,z)) = L(K(x,x \ y),T(z,u),(x \ y) * x). [para(12556(a,1),12539(a,1)),flip(a)]. 12558 L(K(x,x \ y),T(z,y),(x \ y) * x) = R(K(x,x \ y),z,y). [para(12557(a,1),7908(a,1))]. 12559 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(9721(a,1),12555(a,1,1))]. 12560 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [para(104(a,1),12559(a,1,2))]. 12561 K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). [para(12560(a,1),12526(a,2))]. 12562 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [para(12542(a,1),57(a,1))]. 12565 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [para(12562(a,1),6964(a,1)),flip(a)]. 12566 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [para(12565(a,2),8888(a,1))]. 12567 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [para(12566(a,1),7650(a,1))]. 12569 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [para(12567(a,2),12507(a,1))]. 12570 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [para(12569(a,1),8888(a,2))]. 12572 (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(5336(a,1),12503(a,1,1,2))]. 12573 ((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(10490(a,1),12572(a,1,1))]. 12574 (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(12139(a,1),12573(a,1,1))]. 12575 (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(12501(a,1),12574(a,1,2))]. 12576 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(965,a,12575,a)]. 12577 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [para(12576(a,2),5336(a,1))]. 12578 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(12577(a,1),7529(a,2))]. 12579 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3209,a,12578,a),flip(a)]. 12581 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [para(12579(a,1),8755(a,1))]. 12582 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [para(12581(a,1),8747(a,1))]. 12584 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(12582(a,1),10122(a,1,1))]. 12586 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(12584(a,1),5534(a,1)),flip(a)]. 12587 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10114(a,1),12584(a,1,2,2))]. 12588 K(R(x,y,z) * u,x) * K(x,u) = x \ R(x,u,R(T(x,u),y,z)). [para(12586(a,1),10444(a,1)),flip(a)]. 12589 a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). [para(12586(a,1),12250(a,1)),flip(a)]. 12590 x \ R(x,y,R(T(x,y),z,u)) = L(x,y,R(x,z,u)) \ x. [para(12588(a,1),11908(a,1))]. 12592 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(12253(a,1),12587(a,1,2))]. 12593 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [para(12592(a,1),5352(a,1))]. 12594 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [para(12593(a,1),12589(a,2))]. 12595 L(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)). [para(12593(a,1),12590(a,1)),flip(a)]. 12596 a(x,y,R(x,z,u)) \ x = L(x,y,R(x,z,u)). [para(12595(a,1),11785(a,1,1))]. 12598 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(12594(a,1),12271(a,1,1)),flip(a)]. 12601 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(L(K(x,x \ y),u,y),z). [para(12545(a,1),12548(a,1,2,1)),flip(a)]. 12602 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,L(z,u,y))). [para(10273(a,1),12601(a,2,2))]. 12603 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,z)). [para(10775(a,1),12602(a,2,2,2))]. 12605 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [para(12603(a,2),10731(a,1))]. 12606 R(K(x,T(x \ y,z)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [para(8547(a,1),12605(a,1,1,1))]. 12607 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x,T(x \ y,u)),z,y) \ 1. [para(12551(a,1),12606(a,1,1)),flip(a)]. 12608 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(T(x \ y,u),x),z,y) * 1. [para(12607(a,2),10731(a,1))]. 12609 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y) * 1. [para(8800(a,1),12608(a,2,1,1))]. 12610 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y). [hyper(71,a,12609,a(flip)),flip(a)]. 12611 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = L(K(x,x \ y),u,y) \ 1. [para(12610(a,1),11374(a,1,2))]. 12612 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = L(K(x \ y,x),u,y). [para(12611(a,2),10727(a,1))]. 12613 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = ((K(y,w) * u) * z) \ ((K(y,w) * u) * (z * K(x,y))). [para(100(a,1),12538(a,2,1))]. 12614 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = L(K(x,y),z,K(y,w) * u). [para(12613(a,2),28(a,2)),flip(a)]. 12615 L(K(x,y),z,K(y,u) * w) = L(K(x,y),z,w). [para(12614(a,1),10786(a,1))]. 12616 L(K(x,y \ z),u,(y \ z) * y) = L(K(x,y \ z),u,z). [para(5138(a,1),12615(a,1,3))]. 12618 (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5143(a,1),5183(a,2,2,1,1,1))]. 12619 x \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5143(a,1),12618(a,1,1))]. 12620 x \ ((x * K(T(x,y),z)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5815(a,1),12619(a,1,2,1))]. 12621 x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5336(a,1),12620(a,1,2,2))]. 12622 x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(x,y) * u),z). [para(5336(a,1),12621(a,2,2,1,2))]. 12623 x \ ((x * K(T(x,y),z)) * (K(x,y) * L(x,u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(9668(a,2),12622(a,2,1))]. 12624 x \ ((x * K(T(x,y),z)) * L(T(x,y),u,x)) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(9002(a,1),12623(a,1,2,2))]. 12625 x \ (x * (K(T(x,y),z) * L(T(x,y),u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(6427(a,1),12624(a,1,2))]. 12626 (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = x \ (x * L(T(T(x,z),u),y,x)). [para(10519(a,1),12625(a,1,2,2)),flip(a)]. 12627 (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). [para(12626(a,2),13(a,1))]. 12628 (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). [para(9668(a,1),12627(a,1,1))]. 12629 (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ L(T(x,z),y,x),u) = L(T(T(x,z),u),y,x). [para(9002(a,1),12628(a,1,2,1,2))]. 12630 (x \ L(x,y,x)) * T(T(x,z),u) = L(T(T(x,z),u),y,x). [para(9239(a,1),12629(a,1,2,1))]. 12631 T(T(x,y),z) \ L(T(T(x,y),z),u,x) = x \ L(x,u,x). [hyper(18,a,5073,a,b,12630,a),flip(a)]. 12633 T(T(x,y),z) \ T(T(x,x * y),z) = x \ L(x,y,x). [para(462(a,1),12631(a,1,2))]. 12634 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [para(12633(a,1),6264(a,1)),flip(a)]. 12635 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [para(8800(a,1),12634(a,1,2))]. 12636 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(12634(a,1),9511(a,1,2))]. 12637 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(12635(a,1),6403(a,1,1)),flip(a)]. 12638 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [para(12637(a,2),5073(a,1))]. 12639 K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). [para(9531(a,1),12638(a,1,2))]. 12640 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). [para(8910(a,2),12639(a,1,1))]. 12641 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [para(10410(a,1),12636(a,1,1,2))]. 12642 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [para(12641(a,1),12303(a,1)),flip(a)]. 12643 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(12363(a,1),12642(a,1,2))]. 12644 ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). [para(5718(a,1),6058(a,1))]. 12646 K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). [para(12644(a,1),6271(a,1)),flip(a)]. 12647 K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1) = K(x * (y / (z * y)),z \ 1). [para(12646(a,1),7001(a,1)),flip(a)]. 12648 K((x \ 1) \ (y / (z * y)),z \ 1) = K(x * (y / (z * y)),z \ 1). [para(15(a,1),12647(a,1,2,1))]. 12649 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). [para(12648(a,1),10799(a,1)),flip(a)]. 12650 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [para(12649(a,2),10723(a,1))]. 12651 K(x,((y \ z) \ 1) \ y) * ((T(z,x) / (y \ z)) / y) = (T(K(((y \ z) \ 1) \ y,x),y) \ 1) * K(((y \ z) \ 1) \ y,x). [para(5332(a,1),6607(a,2,1)),flip(a)]. 12652 (T(K(((x \ y) \ 1) \ x,z),x) \ 1) * K(((x \ y) \ 1) \ x,z) = K(x,K(y,z)). [para(12651(a,1),10370(a,1))]. 12653 (K(((x \ y) \ 1) \ x,T(z,x)) \ 1) * K(((x \ y) \ 1) \ x,z) = K(x,K(y,z)). [para(7973(a,2),12652(a,1,1,1))]. 12654 (K(x / ((x \ y) \ 1),z) \ 1) * K(((x \ y) \ 1) \ x,z) = K(x,K(y,z)). [para(8795(a,1),12653(a,1,1,1))]. 12655 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5336(a,1),7588(a,1,2,1))]. 12656 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(1 \ y,x)). [para(9694(a,1),7865(a,2,2))]. 12657 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(y,x)). [para(48(a,1),12656(a,2,2,2,1))]. 12658 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(4386(a,1),12657(a,2,2))]. 12659 T(x,y) * K((y \ 1) \ x,x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(4250(a,1),12658(a,1,2,1))]. 12660 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * ((x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y))) \ (z * T(x,y)). [para(12658(a,1),10840(a,1,1,2)),flip(a)]. 12661 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(1 \ y,x)). [para(9944(a,1),12659(a,1,2)),flip(a)]. 12662 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(y,x)). [para(48(a,1),12661(a,2,2,2,1))]. 12663 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x / (y \ 1),y). [para(8795(a,1),12662(a,2,2))]. 12664 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x * y,y). [para(5928(a,1),12663(a,2,2))]. 12665 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = y \ T(x * y,y). [para(12664(a,2),7824(a,1))]. 12666 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5336(a,1),12655(a,1,2,2,1,1))]. 12667 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(592(a,1),12666(a,1,2))]. 12668 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(7380(a,1),12667(a,1,2))]. 12669 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [para(12668(a,1),5491(a,1))]. 12671 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(3074(a,1),12669(a,2,1))]. 12672 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(6280(a,1),12671(a,1,1))]. 12673 R(K(x,y),K(y,z),u) = K(x,y). [hyper(619,a,12672,a)]. 12674 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(13(a,1),12672(a,1,2))]. 12675 (K(x,y) * (K(y,z) * u)) / u = K(x,y) * K(y,z). [para(12673(a,1),178(a,1,1,1))]. 12676 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(12673(a,1),2354(a,1,1)),flip(a)]. 12677 L(x,K(y,z),K(u,y)) = x. [hyper(306,a,12674,a)]. 12678 x \ (K(y,z) * (K(z,u) * x)) = T(K(y,z) * K(z,u),x). [para(12674(a,1),32(a,2,2)),flip(a)]. 12679 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(2114(a,2),12674(a,1,1))]. 12680 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [para(12674(a,1),5172(a,1,1))]. 12681 K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. [para(9185(a,1),12674(a,1,1)),flip(a)]. 12682 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [para(12361(a,1),12674(a,1,1)),flip(a)]. 12687 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [para(12677(a,1),6049(a,1)),flip(a)]. 12688 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5920(a,2),12682(a,1,1))]. 12689 a(x,y,x) * (K(x,x * y) * z) = K(x,y) * z. [para(12682(a,1),7608(a,1))]. 12690 K(x,y) * (K(x * y,x) * z) = a(x,y,x) * z. [para(12682(a,1),7638(a,2))]. 12691 a(x,y,x) * z = z * a(x,y,x). [para(12682(a,1),12365(a,1))]. 12692 x / a(y,z,y) = a(y,z,y) \ x. [hyper(216,a,12691,a)]. 12693 T(x,a(y,z,y)) = x. [hyper(133,a,12691,a)]. 12694 a(x,y,x) * K(z,a(x,y,x)) = a(x,y,x). [hyper(18,a,9001,a,b,12691,a),flip(a)]. 12695 T(a(x,y,x),z) = a(x,y,x). [hyper(3043,a,12691,a(flip))]. 12696 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(12691(a,2),19(a,1))]. 12697 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [para(12691(a,2),12422(a,1))]. 12698 K(x,a(y,z,y)) = 1. [hyper(36,a,12693,a)]. 12699 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(12693(a,1),12387(a,2,1,1))]. 12701 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(12695(a,1),146(a,1,2,1)),flip(a)]. 12702 T(a(x,y,x),z) = x \ R(x,y,x). [para(12695(a,2),12363(a,2)),flip(a)]. 12703 T(a(x,y,x),z) = T(a(x,y,x),u). [para(12695(a,2),12695(a,2))]. 12704 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(12692(a,1),12409(a,1,2))]. 12705 T(a(1 / x,y,1 / x),z) = (1 / x) \ R(1 / x,y,x \ 1). [para(2598(a,1),12702(a,2,2))]. 12709 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(4663(a,1),12688(a,1,2))]. 12710 K(x,x \ y) * (K(y,x) * z) = a(x,x \ y,x) * z. [para(14(a,1),12690(a,1,2,1,1))]. 12711 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [para(7608(a,1),12675(a,1,1))]. 12712 (K(x,y) * K(z,x)) * (K(y,x) * u) = K(z,x) * u. [para(5352(a,1),12679(a,2,2))]. 12713 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(12679(a,2),7638(a,2)),flip(a)]. 12714 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [para(2114(a,2),12687(a,1,1))]. 12715 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [para(12361(a,1),12687(a,1,1)),flip(a)]. 12716 (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. [para(12687(a,2),12679(a,2)),flip(a)]. 12717 K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. [para(5709(a,2),12715(a,1,2,1))]. 12718 T(x,R(a(y,z,y),u,w)) = x. [hyper(133,a,12701,a)]. 12719 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5462(a,1),12711(a,1,1))]. 12720 L(x,K(y,z),K(z,u)) = x. [hyper(306,a,12713,a)]. 12721 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [para(12713(a,1),32(a,2,2)),flip(a)]. 12724 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [para(12720(a,2),4329(a,1))]. 12727 L(x,K(y,z),K(u,K(z,w))) = x. [para(8435(a,1),12720(a,1,3))]. 12729 L(x,K(y,T(z,u)),K(z,w)) = x. [para(8747(a,1),12720(a,1,3))]. 12730 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(12720(a,1),9699(a,1,1,1)),flip(a)]. 12731 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [para(12720(a,1),12039(a,1))]. 12732 (K(x,K(y,z)) * K(u,y)) * w = K(x,K(y,z)) * (K(u,y) * w). [para(12727(a,1),89(a,1,2))]. 12733 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(12729(a,1),89(a,1,2))]. 12734 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(12724(a,1),11803(a,1,2,3))]. 12735 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(12734(a,1),11767(a,1))]. 12736 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [para(12731(a,1),38(a,1)),flip(a)]. 12737 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(8502(a,1),12731(a,1,1))]. 12738 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [para(12736(a,2),5200(a,1)),flip(a)]. 12739 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [para(12736(a,1),12731(a,1))]. 12740 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(10395(a,1),12737(a,1,1,2)),flip(a)]. 12741 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12739(a,1),4750(a,1,2))]. 12742 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [para(12739(a,1),5171(a,1))]. 12743 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [para(12739(a,1),5200(a,1)),flip(a)]. 12745 (x \ L(x,y,x)) * z = a(x,y,x) \ z. [para(12681(a,1),12717(a,1))]. 12746 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(71,a,12745,a),flip(a)]. 12747 a(x,y,x) \ x = L(x,y,x). [para(12745(a,1),5073(a,1))]. 12748 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [para(12746(a,2),12643(a,1,3))]. 12749 (a(x,y,x) \ 1) * z = a(x,y,x) \ z. [para(12746(a,2),12745(a,1,1))]. 12750 x * (a(y,z,y) \ 1) = x / a(y,z,y). [para(12748(a,1),346(a,1)),flip(a)]. 12751 (a(x,y,x) \ 1) \ z = a(x,y,x) * z. [hyper(17,a,181,a(flip),b,12749,a),flip(a)]. 12752 x * (y \ L(y,z,y)) = x / a(y,z,y). [para(12746(a,1),12750(a,1,2))]. 12753 (a(x,y,x) \ 1) \ z = z * a(x,y,x). [para(12751(a,2),12691(a,1))]. 12754 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [para(12752(a,2),12692(a,1))]. 12755 (x \ L(x,y,x)) \ z = z * a(x,y,x). [para(12746(a,1),12753(a,1,1))]. 12756 a(x,y,x) \ K(x,z) = x \ L(T(x,z),y,x). [para(12754(a,1),9029(a,1))]. 12757 (x \ y) * (a(x,x \ y,x) * z) = (y / x) * (K(y,x) * z). [para(12710(a,1),5552(a,1,2))]. 12758 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(5352(a,1),12721(a,1,2,2)),flip(a)]. 12759 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [para(12721(a,1),9932(a,1)),flip(a)]. 12760 T(K(x,K(y,z)) * x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [para(5214(a,1),12738(a,2,1)),flip(a)]. 12761 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [para(12759(a,1),12265(a,1))]. 12762 (x \ y) * (a(x,x \ y,x) * z) = (y / T(x,y)) * L(z,K(y,x),x \ y). [para(12757(a,2),8271(a,2)),flip(a)]. 12763 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2114(a,1),12730(a,1,2,2))]. 12764 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(12732(a,2),600(a,1,2))]. 12765 K(x,K(y,z)) * T(x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [para(12760(a,1),9633(a,1)),flip(a)]. 12766 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(12763(a,1),7794(a,1,1))]. 12767 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(5888,a,12765,a)]. 12768 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(12767(a,2),5301(a,2,2)),flip(a)]. 12769 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). [para(8474(a,1),12767(a,1,1))]. 12770 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8669(a,1),12767(a,1,1))]. 12771 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(12767(a,1),9743(a,2))]. 12772 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [para(12767(a,1),12240(a,2)),flip(a)]. 12773 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(261(a,2),12719(a,1,2,2,2))]. 12774 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [para(12772(a,2),236(a,1))]. 12775 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [para(2114(a,1),12774(a,1,2))]. 12776 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(13(a,1),12775(a,1,2,2,2,3))]. 12777 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(10319(a,1),12740(a,2,1))]. 12778 ((x \ y) * a(x,x \ y,x)) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). [para(12762(a,1),28(a,2,2)),flip(a)]. 12779 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(12777(a,2),12731(a,1))]. 12780 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(10395(a,1),12779(a,1,2,2))]. 12781 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [para(12780(a,2),12739(a,1)),flip(a)]. 12782 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [para(12680(a,1),9515(a,1)),flip(a)]. 12783 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(7463(a,1),12766(a,1,1,1)),flip(a)]. 12784 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(12737(a,1),12783(a,2,1))]. 12785 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [para(12784(a,2),5141(a,2)),flip(a)]. 12786 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5336(a,1),12785(a,1,2))]. 12787 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8669(a,1),12770(a,1,2)),flip(a)]. 12789 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [para(12787(a,2),12767(a,1))]. 12790 K(K(x,y) * z,K(x,u) * K(w,x)) = K(z,K(x,u) * K(w,x)). [para(7967(a,1),12789(a,1,1))]. 12791 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(5352(a,1),12790(a,1,1)),flip(a)]. 12792 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(8435(a,1),12771(a,1,2,2,2))]. 12793 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [para(12782(a,1),11997(a,1)),flip(a)]. 12794 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(8506(a,1),12793(a,1,1)),flip(a)]. 12795 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [para(12794(a,2),12736(a,1))]. 12796 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(17,a,12743,a,b,12795,a)]. 12797 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2114(a,2),12795(a,1,2,1))]. 12798 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(17,a,5200,a(flip),b,12797,a)]. 12799 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(12797(a,1),12742(a,1,1))]. 12800 K(K(x,y) * K(z,x),u) = K(u,K(z,x) * K(x,y)). [para(2114(a,1),12798(a,2,2))]. 12801 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(12798(a,1),5200(a,2,2)),flip(a)]. 12802 K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). [para(12798(a,1),12786(a,2))]. 12803 K(K(x,y) * K(y,z),u) = K(u,K(x,y) * K(y,z)). [para(2114(a,1),12800(a,1,1))]. 12804 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [para(12803(a,1),12796(a,1)),flip(a)]. 12805 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). [para(12804(a,1),12769(a,2))]. 12806 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [para(12804(a,1),12791(a,1))]. 12807 K(x,K(y,z) * K(z,L(z,u,w) * v5)) = K(x,K(y,z)) * K(x,K(z,v5)). [para(11468(a,1),12805(a,1,2)),flip(a)]. 12808 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(12806(a,1),12017(a,2,2))]. 12809 K(x,K(y,z) * K(z,L(z,u,w) * y)) = 1. [para(12807(a,2),7746(a,1))]. 12810 K(x,y \ L(y,z,L(y,u,w))) = 1. [para(9763(a,1),12809(a,1,2))]. 12811 x / (((y \ L(y,z,L(y,u,w))) \ 1) \ 1) = (((y \ L(y,z,L(y,u,w))) \ 1) \ 1) \ x. [para(12810(a,1),6742(a,1,1,2)),flip(a)]. 12812 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [para(12801(a,1),5172(a,2))]. 12813 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(11997(a,1),12812(a,1,1))]. 12814 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [para(12792(a,1),4664(a,1)),flip(a)]. 12815 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(8435(a,1),12814(a,1,1))]. 12816 R(a(x,y,x),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(12695(a,1),12699(a,1,1))]. 12818 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(12693(a,1),12816(a,1,2)),flip(a)]. 12819 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [para(12818(a,1),12428(a,2))]. 12820 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(5171(a,1),12819(a,1,1,2)),flip(a)]. 12821 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(5171(a,1),12820(a,2,2))]. 12822 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [para(12735(a,1),9802(a,1))]. 12824 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(9884(a,1),12822(a,2,2))]. 12825 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [para(12824(a,2),4512(a,1))]. 12826 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(9731(a,1),12825(a,1,1,1))]. 12827 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(9730(a,1),12826(a,1,1)),flip(a)]. 12828 R(x * K(y,x),z,x) \ u = K(x,y) * (R(x,z,x) \ u). [para(12827(a,1),5175(a,1))]. 12829 x / (((y \ L(y,z,L(y,u,w))) \ 1) \ 1) = ((L(y,z,L(y,u,w)) \ y) \ 1) \ x. [para(12293(a,1),12811(a,2,1,1))]. 12830 x / (((y \ L(y,z,L(y,u,w))) \ 1) \ 1) = (a(y,z,L(y,u,w)) \ 1) \ x. [para(12447(a,1),12829(a,2,1,1))]. 12831 x / ((L(y,z,L(y,u,w)) \ y) \ 1) = (a(y,z,L(y,u,w)) \ 1) \ x. [para(12293(a,1),12830(a,1,2,1))]. 12832 x / (a(y,z,L(y,u,w)) \ 1) = (a(y,z,L(y,u,w)) \ 1) \ x. [para(12447(a,1),12831(a,1,2,1))]. 12833 (a(x,y,L(x,z,u)) \ 1) \ w = w * a(x,y,L(x,z,u)). [para(12832(a,1),12445(a,1))]. 12835 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [para(12808(a,2),12674(a,1))]. 12837 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(12673(a,1),12676(a,2,2,1,1))]. 12838 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(5332(a,1),12837(a,2,2,1))]. 12840 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5332(a,1),12838(a,1,1,2,1))]. 12841 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(12840(a,1),331(a,1,1,1)),flip(a)]. 12842 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(12840(a,2),6933(a,1,1))]. 12843 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [para(12840(a,1),5449(a,1)),flip(a)]. 12844 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(12840(a,1),12484(a,1,1))]. 12846 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(8418(a,1),12842(a,1,1,1,2,1))]. 12847 (L(x,x \ y,x) \ y) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). [para(12407(a,1),12778(a,1,1))]. 12848 (x / T(y,x)) \ ((x / T(y,x)) * L(z,K(x,y),y \ x)) = L(z,a(y,y \ x,y),y \ x). [para(6071(a,1),12847(a,1,1))]. 12849 L(x,a(y,y \ z,y),y \ z) = L(x,K(z,y),y \ z). [para(12848(a,1),13(a,1))]. 12850 K(K(x,y) * R(K(y,x),z,u),K(x,y) \ (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(12844(a,1),6520(a,1)),flip(a)]. 12852 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(5336(a,1),12850(a,1,2))]. 12853 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(10244(a,1),12846(a,1,1,1,2))]. 12854 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(12815(a,1),12853(a,1,1,1))]. 12855 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * ((x * y) \ (x * (y * z))))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(28(a,2),970(a,1,2,2,1,1))]. 12856 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * L(z,y,x))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(28(a,2),12855(a,1,2,2,2))]. 12857 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * L(z,y,x))) = T(a(x,y,z),L(z,y,x)). [para(28(a,2),12856(a,2,2))]. 12858 (x * (y * z)) \ ((x * y) * z) = T(a(x,y,z),L(z,y,x)). [para(11784(a,1),12857(a,1,2,2))]. 12859 T(a(x,y,z),L(z,y,x)) = a(x,y,z). [para(12858(a,1),24(a,2)),flip(a)]. 12860 K(L(x,y,z),a(z,y,x)) = a(z,y,x) / a(z,y,x). [para(12859(a,1),5157(a,2,2))]. 12861 K(L(x,y,z),a(z,y,x)) = 1. [para(12860(a,2),55(a,1))]. 12863 K(((x / y) * (y / z)) \ x,a(x / y,y / z,z)) = 1. [para(452(a,1),12861(a,1,1))]. 12864 x / (1 / ((1 / y) * (y / x))) = (x * ((1 / y) * (y / x))) * 1. [para(12863(a,1),11424(a,1,2)),flip(a)]. 12865 x / (1 / ((1 / y) * (y / x))) = x * ((1 / y) * (y / x)). [hyper(71,a,12864,a(flip)),flip(a)]. 12867 (x * ((1 / y) * (y / x))) \ x = 1 / ((1 / y) * (y / x)). [para(12865(a,1),59(a,1,1))]. 12868 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = (((1 / x) * (x / y)) * y) \ y. [para(12867(a,1),11423(a,1,1))]. 12869 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = a(x \ 1,x / y,y) \ y. [para(4149(a,1),12868(a,2,1))]. 12870 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = L(y,x / y,x \ 1). [para(12869(a,2),4151(a,1))]. 12871 R(1 / (a((x * y) \ 1,y,x) / x),(1 / (x * y)) * ((x * y) / x),x) = L(x,(x * y) / x,(x * y) \ 1). [para(11166(a,1),12870(a,1,1,2))]. 12872 R(1 / (a((x * y) \ 1,y,x) / x),a((x * y) \ 1,y,x) / x,x) = L(x,(x * y) / x,(x * y) \ 1). [para(11166(a,1),12871(a,1,2))]. 12873 L(x,(x * y) / x,(x * y) \ 1) = x / a((x * y) \ 1,y,x). [para(12872(a,1),258(a,1))]. 12874 L(x,y * K(x,y),(x * y) \ 1) = x / a((x * y) \ 1,y,x). [para(5172(a,1),12873(a,1,2))]. 12875 ((1 / (x * y)) * (y * K(x,y))) \ 1 = x / a((x * y) \ 1,y,x). [para(12873(a,1),10687(a,1)),flip(a)]. 12876 1 / (x / a((x * y) \ 1,y,x)) = a((x * y) \ 1,y,x) / x. [para(12874(a,1),11167(a,1,2))]. 12877 (K(x,y) * ((1 / (x * y)) * y)) \ 1 = x / a((x * y) \ 1,y,x). [para(10328(a,1),12875(a,1,1))]. 12878 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(5494(a,1),5655(a,1,1))]. 12879 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(5494(a,1),12878(a,1,2,1,1)),flip(a)]. 12880 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(5332(a,1),12879(a,2,2,1))]. 12881 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(6942(a,1),12880(a,2,2))]. 12882 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(5168(a,1),12881(a,1,1,1)),flip(a)]. 12883 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(6942(a,1),12882(a,2,1,2))]. 12884 (1 / L(x,y,(x * y) \ 1)) * ((K(x,y) * ((1 / (x * y)) * y)) * (((1 / (x * y)) * y) \ K(y,x))) = K(y,x) \ ((1 / (x * y)) * y). [para(5336(a,1),6182(a,1,2,1))]. 12885 ((x * y) * K(y * x,x \ (y \ 1))) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(11362(a,1),9838(a,1,1,2))]. 12886 (1 / L(x,y,(x * y) \ 1)) * ((K(x,y) * ((1 / (x * y)) * y)) * L(x,y,(x * y) \ 1)) = K(y,x) \ ((1 / (x * y)) * y). [para(6181(a,1),12884(a,1,2,2))]. 12887 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * (((1 / (x * y)) * y) * L(x,y,(x * y) \ 1))) = K(y,x) \ ((1 / (x * y)) * y). [para(7432(a,1),12886(a,1,2))]. 12888 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * ((1 / (x * y)) * (y * x))) = K(y,x) \ ((1 / (x * y)) * y). [para(3786(a,1),12887(a,1,2,2))]. 12889 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * K(y,x)) = K(y,x) \ ((1 / (x * y)) * y). [para(5875(a,2),12888(a,1,2,2))]. 12890 K(x,y) \ ((1 / (y * x)) * x) = (1 / L(y,x,(y * x) \ 1)) * 1. [para(5333(a,1),12889(a,1,2)),flip(a)]. 12891 K(x,y) \ ((1 / (y * x)) * x) = 1 / L(y,x,(y * x) \ 1). [hyper(71,a,12890,a(flip)),flip(a)]. 12893 K(x,y) * ((1 / (x * y)) * y) = 1 / L(x,y,(x * y) \ 1). [para(12891(a,1),5336(a,1)),flip(a)]. 12894 (K(x,y) * ((1 / (x * y)) * y)) \ 1 = L(x,y,(x * y) \ 1). [para(12893(a,2),59(a,1,1))]. 12895 x / a((x * y) \ 1,y,x) = L(x,y,(x * y) \ 1). [para(12894(a,1),12877(a,1)),flip(a)]. 12896 a((x * y) \ 1,y,x) / x = 1 / L(x,y,(x * y) \ 1). [para(12895(a,1),12876(a,1,2)),flip(a)]. 12897 (((x * y) \ 1) \ 1) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(11969(a,1),12885(a,1,1))]. 12898 L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = (((y * x) \ 1) \ 1) \ ((y * x) * (1 / (x * y))). [para(9837(a,1),12897(a,1,2)),flip(a)]. 12899 L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = K((y * x) \ 1,y * x) * (1 / (x * y)). [para(12898(a,2),2737(a,1))]. 12900 L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = K(x \ (y \ 1),y * x) * (1 / (x * y)). [para(11392(a,1),12899(a,2,1))]. 12901 L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = K(x \ (y \ 1),y * x) / (x * y). [para(12900(a,2),6842(a,1))]. 12902 K(x \ (y \ 1),y * x) / (x * y) = (x * y) \ 1. [para(12901(a,1),4946(a,1))]. 12903 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(16(a,1),3370(a,1,2,1))]. 12904 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(55(a,1),12903(a,1,2))]. 12907 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [para(12904(a,1),59(a,1))]. 12908 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2346(a,1),12907(a,1,1))]. 12909 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [para(12908(a,1),6801(a,1))]. 12910 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [para(12909(a,2),5081(a,1))]. 12911 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [para(12910(a,2),11922(a,1))]. 12912 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(727(a,1),12911(a,1,2))]. 12913 (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. [para(12912(a,1),16(a,1,1))]. 12914 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(12912(a,1),5268(a,2,1)),flip(a)]. 12915 ((((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(12913(a,1),10640(a,1,2,2,1)),flip(a)]. 12916 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [para(12914(a,2),8474(a,1))]. 12917 T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z) = L(x,y,x) * ((((x * (y * x)) / x) / T(x,x * y)) * z). [para(4456(a,1),6006(a,1,1)),flip(a)]. 12918 T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z) = L(x,y,x) * (y * z). [para(4471(a,1),12917(a,2,2,1))]. 12919 T(x,x * y) * (T(y,x) * z) = L(x,y,x) * (y * z). [para(6013(a,1),12918(a,1,2,1))]. 12920 L(x,y / x,x) * ((y / x) * z) = T(x,y) * (T(y / x,x) * z). [para(4466(a,1),12919(a,1,1)),flip(a)]. 12921 L(x,y / x,x) * ((y / x) * z) = T(x,y) * ((x \ y) * z). [para(106(a,1),12920(a,2,2,1))]. 12922 L(x,x \ y,x) * ((y / x) * z) = T(x,y) * ((x \ y) * z). [para(4532(a,1),12921(a,1,1))]. 12923 (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(7973(a,2),11222(a,2,2))]. 12924 K(x,y \ (x \ 1)) / ((L(y * (x * ((y \ 1) / x)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(10826(a,1),11792(a,1,1))]. 12925 K(x,y \ (x \ 1)) / ((L(K(x,y \ (x \ 1)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(10826(a,1),12924(a,1,2,1,1,1))]. 12926 K(x,y \ (x \ 1)) / ((K(x,L(x * y,z,u) \ 1) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(10811(a,1),12925(a,1,2,1,1))]. 12927 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(5332(a,1),12926(a,1,2,1))]. 12928 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(10826(a,1),12927(a,1,2,2))]. 12929 (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(11625(a,1),12923(a,2,2))]. 12930 (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(T(z,x),y). [para(12929(a,2),7768(a,1))]. 12932 (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(8800(a,1),12930(a,2,2))]. 12933 (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(12932(a,2),11265(a,1))]. 12934 (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(7967(a,1),12933(a,2,2))]. 12935 (x * K(y,z * x)) / K(y,z) = K(y,z * x) * (K(z,y) * x). [para(8540(a,1),12934(a,1,2))]. 12936 (x * K(y,z * x)) * K(z,y) = K(y,z * x) * (K(z,y) * x). [para(12935(a,1),7768(a,1)),flip(a)]. 12938 K(x,y * z) * (K(y,x) * z) = z * (K(x,y * z) * K(y,x)). [para(12936(a,1),11006(a,1))]. 12939 K(x * (y \ T(y * z,y)),K(y * z,L(y,z,x))) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(10263(a,1),11119(a,1,1))]. 12940 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * (y \ T(x * y,y))) \ (z * T(x,y)). [para(12665(a,1),12660(a,2,1,2))]. 12941 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(8435(a,1),12764(a,1,1,3,1))]. 12942 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(6519(a,1),12773(a,1,2,1))]. 12943 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(4053(a,1),12942(a,1,2,2)),flip(a)]. 12944 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(9140(a,1),12943(a,2,2))]. 12945 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),12944(a,2,2,1))]. 12946 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(8374(a,1),12945(a,1,1,2))]. 12947 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8103(a,1),12946(a,1,1))]. 12949 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(8374(a,1),12947(a,1,2,1))]. 12950 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(7215(a,1),12949(a,1,2))]. 12951 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(9041(a,1),12950(a,1,2))]. 12952 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(7273(a,1),12951(a,1,2)),flip(a)]. 12954 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [para(12952(a,2),7322(a,2)),flip(a)]. 12955 K(x * (y \ T(y * z,y)),K(y * z,y)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(11031(a,1),12939(a,1,1,2))]. 12956 K(x * y,K(z * (x \ T(x * y,x)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(8435(a,1),12955(a,1,1))]. 12958 K(x * y,K(z * (x \ (x * y)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(10716(a,1),12956(a,1,1,2))]. 12959 K(x * y,K(z * y,x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(13(a,1),12958(a,1,1,2,1,2))]. 12960 K(x,K(x * y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(8449(a,1),12959(a,1,1))]. 12961 K(x,K(y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(8529(a,1),12960(a,1,1))]. 12962 K(x,K(y,z)) / ((y * z) / (y * (x \ T(x * z,x)))) = 1 / ((y * (x \ T(x * z,x))) \ (y * z)). [para(8497(a,1),12961(a,1,1))]. 12963 K(x,K(y,z)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(8435(a,1),12962(a,1,1))]. 12964 K(x,K(y,z)) / L(K(y,T(z * y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(11727(a,1),12963(a,1,2))]. 12965 K(x,K(y,z)) * L(K(T(z * y,x),y),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(12964(a,1),10839(a,1)),flip(a)]. 12966 K(x,K(y,z)) * L(K(z * y,T(y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(8800(a,1),12965(a,1,2,1))]. 12967 1 / ((x * (y \ T(y * z,y))) \ (x * z)) != K(x,K(y,z)) * u | L(K(z * y,T(y,x)),z,x) = u. [para(12966(a,1),19(a,1))]. 12968 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(7499(a,1),12941(a,1,1,3))]. 12970 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(8003(a,2),12968(a,1,1,3))]. 12971 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(8435(a,1),12970(a,1,2,1,1))]. 12972 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(12679(a,1),12971(a,1,2))]. 12973 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(8435(a,1),12972(a,2,2,1))]. 12974 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(7499(a,1),12973(a,2,2))]. 12976 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(8003(a,2),12974(a,2,2))]. 12977 x \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(9491(a,1),12976(a,1,1))]. 12978 T(K(x,y),z) * K(y,K(u,T(w,z))) = T(K(x,y) * K(y,K(u,w)),z). [para(12977(a,1),12678(a,1))]. 12979 K(x,K(y,T(z,u))) * T(K(w,x),u) = T(K(w,x) * K(x,K(y,z)),u). [para(12978(a,1),2121(a,1)),flip(a)]. 12980 K(x,K(y,T(z,u))) * K(w,T(x,u)) = T(K(w,x) * K(x,K(y,z)),u). [para(7973(a,2),12979(a,1,2))]. 12981 (((T(x,y) \ 1) * x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(6603(a,1),4746(a,1,1,1))]. 12982 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = (K(x,y) * T(y,x)) * (T((y \ 1) \ 1,x) \ x). [para(5771(a,1),12981(a,1,1)),flip(a)]. 12983 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y * (T((y \ 1) \ 1,x) \ x). [para(5158(a,1),12982(a,2,1))]. 12984 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [para(12983(a,2),6308(a,1))]. 12985 x * T((T(y,x) \ 1) * y,T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [para(7379(a,1),12984(a,1,2,1))]. 12986 x * T((T(y,x) \ 1) * y,T(y,x)) = y \ (x * (1 / (1 / y))). [para(2948(a,1),12985(a,1,2))]. 12987 x \ (y * (1 / (1 / x))) = y * ((T(x,y) \ 1) * x). [para(9705(a,1),12986(a,1,2)),flip(a)]. 12988 K((x * (1 / (1 / y))) \ (y * z),T(z,u)) = K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)). [para(12987(a,1),9483(a,1,1,1)),flip(a)]. 12990 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (((y \ 1) \ 1) * z),T(z,u)). [para(3863(a,1),12988(a,1,1)),flip(a)]. 12991 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (z * y),T(z,u)). [para(12990(a,2),10968(a,1))]. 12992 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,x)) = K(x \ z,T(z,y)). [para(12991(a,2),9930(a,1))]. 12993 K(T(x,y) \ z,T(z,x)) = K(x \ z,T(z,y)). [para(12992(a,1),6722(a,1)),flip(a)]. 12994 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [para(12993(a,1),10390(a,1)),flip(a)]. 12995 K(T((x \ y) \ y,z) \ u,u) = K(T(x,z) \ u,T(u,x \ y)). [para(195(a,1),12994(a,1,1,1))]. 12996 K(T(T(x,y),x * z) \ u,u) = K(T(x,y) \ u,T(u,z * x)). [para(4495(a,1),12994(a,1,1,1))]. 12997 R(x,y,z) \ R(x * K(u \ x,T(x,w)),y,z) = K(T(u,w) \ x,R(x,y,z)). [para(12994(a,1),5781(a,1,2,1,2))]. 12998 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = T(z * K(x \ z,T(z,y)),u) / T(z,u). [para(12994(a,1),10042(a,2,1,1,2))]. 12999 K(T(x,y) \ z,T(z,x \ u)) = K(((x \ u) \ u) \ z,T(z,y)). [para(12995(a,1),12994(a,1))]. 13000 K(T(T(x,y),x * z) \ u,u) = K(T(x,y) \ u,T(u,z)). [para(12996(a,2),10608(a,1))]. 13001 K(T(x,y) \ z,T(z,x * u)) = K(T(x,y) \ z,T(z,u)). [para(13000(a,1),12994(a,1)),flip(a)]. 13002 K(T(x,y) \ z,T(z,x \ u)) = K(T(x,y) \ z,T(z,u)). [para(14(a,1),13001(a,1,2,2)),flip(a)]. 13003 K(T(x,y) \ z,T(z,x \ u)) = K(u \ ((x \ u) * z),T(z,y)). [para(12999(a,2),9483(a,1))]. 13004 K(x \ ((y \ x) * z),T(z,u)) = K(T(y,u) \ z,T(z,x)). [para(13003(a,1),13002(a,1))]. 13005 K(T(x,y) \ z,R(z,u,w)) = K(x \ z,R(T(z,y),u,w)). [para(12997(a,1),9868(a,1))]. 13006 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(x \ z,T(T(z,u),y)). [para(12998(a,2),9652(a,1))]. 13007 K(T(x,y) \ z,T(z,u)) = K(x \ z,T(T(z,u),y)). [para(13006(a,1),10041(a,1)),flip(a)]. 13008 K(x \ ((y \ x) * z),T(z,u)) = K(y \ z,T(T(z,x),u)). [para(13007(a,1),13004(a,2))]. 13009 K((x / y) \ z,T(T(z,x),u)) = K(x \ (y * z),T(z,u)). [para(59(a,1),13008(a,1,1,2,1)),flip(a)]. 13010 K((x / y) \ z,T(T(z,y),u)) = K(x \ (y * z),T(z,u)). [para(13009(a,1),12015(a,2))]. 13011 K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). [para(13010(a,1),8560(a,1))]. 13012 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(13011(a,1),9485(a,1))]. 13013 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [para(13011(a,1),10920(a,1)),flip(a)]. 13014 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [para(13012(a,1),6648(a,1)),flip(a)]. 13015 K((x * y) / z,x) = K((z / y) \ x,x). [para(13013(a,1),8904(a,1)),flip(a)]. 13016 K(x / (y \ z),y) = K((z / x) \ y,y). [para(13013(a,1),10911(a,1)),flip(a)]. 13017 K(((x * y) / z) \ x,x) = K(z / y,x). [para(13(a,1),13016(a,1,1,2)),flip(a)]. 13018 K(x / (y / z),z) = K((y / x) \ z,z). [para(13016(a,1),8569(a,2))]. 13019 K(((x * y) / z) \ y,y) = K(z / x,y). [para(15(a,1),13018(a,1,1,2)),flip(a)]. 13020 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(9896(a,1),6285(a,1,1)),flip(a)]. 13021 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(13020(a,2),7324(a,2)),flip(a)]. 13023 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(5228(a,1),13021(a,2,1))]. 13024 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(9896(a,1),6286(a,1,1)),flip(a)]. 13025 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(13024(a,2),7324(a,2)),flip(a)]. 13027 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(5228(a,1),13025(a,2,1))]. 13028 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(13027(a,2),11376(a,1))]. 13029 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(4468(a,2),13028(a,1,2))]. 13030 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(9891(a,1),13029(a,1,2,1))]. 13031 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4462(a,2),13030(a,1,2,1))]. 13033 (x * y) / (R((z \ R(1 / u,u,x)) * z,u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3875(a,2),6986(a,1,2,1))]. 13034 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(y \ x,z)) * K(1 / (x \ y),z). [para(9753(a,1),10339(a,2,1))]. 13035 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(1 / (x \ y),z). [para(10061(a,1),13034(a,2,1))]. 13036 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K((x \ y) \ 1,z). [para(3073(a,1),13035(a,2,2))]. 13038 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(y \ x,z). [para(6464(a,1),13036(a,2,2))]. 13039 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = (y \ x) \ R(y \ x,z,y \ x). [para(13038(a,2),5933(a,1))]. 13040 (1 / (x \ y)) \ R(1 / (x \ y),z,1 / (1 / (y \ x))) = (y \ x) \ R(y \ x,z,y \ x). [para(1999(a,1),13039(a,1,2,3))]. 13041 (1 / (x \ y)) \ R(1 / (x \ y),z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [para(4830(a,1),13040(a,1,2))]. 13042 (x \ y) * R((x \ y) \ 1,z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [para(13041(a,1),734(a,1)),flip(a)]. 13043 (x \ y) \ R(x \ y,z,x \ y) = y \ (x * R(x \ y,z,x \ y)). [para(13042(a,1),1085(a,1))]. 13044 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ ((x \ y) * R((x \ y) \ y,z,(x \ y) \ y)). [para(105(a,2),13043(a,1,1))]. 13045 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(416(a,1),13044(a,2,2))]. 13046 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(9013(a,1),13045(a,2,2,1))]. 13048 x \ (R(y,z,y) * (y \ x)) = y \ R(y,z,y). [para(13046(a,1),10603(a,1))]. 13049 R(x,y,x) * (x \ z) = z * (x \ R(x,y,x)). [para(13048(a,1),14(a,1,2)),flip(a)]. 13051 R(x,y,x) * (x \ z) = z * a(x,y,x). [para(12363(a,1),13049(a,2,2))]. 13052 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(13(a,1),13051(a,1,2)),flip(a)]. 13053 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(13051(a,1),793(a,1,2))]. 13054 R(x,y,x) * (T(x,z) \ u) = (K(z,x) * u) * a(x,y,x). [para(5527(a,1),13051(a,1,2))]. 13055 (x / y) * R(y,z,y) = x * a(y,z,y). [para(13051(a,1),9128(a,1)),flip(a)]. 13056 (x * a(y,z,y)) \ (x * R(y,z,y)) = y. [para(13051(a,1),9148(a,1,1))]. 13057 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(13051(a,1),9149(a,1)),flip(a)]. 13058 R(x,y,x) * (K(x,z) * (x \ u)) = K(x,z) * (u * a(x,y,x)). [para(13051(a,1),12497(a,2,2))]. 13059 (x * y) \ (R(x,z,x) * y) = a(x,z,x). [hyper(68,a,13052,a)]. 13060 a(x,y,x) * (x * z) = R(x,y,x) * z. [para(13052(a,1),12691(a,2))]. 13061 (x * y) \ (R(x,z,x) * y) = L(a(x,z,x),y,x). [para(13053(a,1),28(a,2,2)),flip(a)]. 13062 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(74,a,13055,a)]. 13063 (x * y) * a(y,z,y) = x * R(y,z,y). [para(15(a,1),13055(a,1,1)),flip(a)]. 13064 (x / y) * R(y,z,y) != x * u | a(y,z,y) = u. [para(13055(a,2),19(a,1))]. 13065 ((x \ y) * L(x,z,u)) * R(T(x,x \ y),w,T(x,x \ y)) = (y * L(x,z,u)) * a(T(x,x \ y),w,T(x,x \ y)). [para(1048(a,1),13055(a,1,1))]. 13066 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(13055(a,2),12412(a,1,2))]. 13067 ((R(x,y,x) * z) * u) / ((x * z) * u) = R(a(x,y,x),x * z,u). [para(13060(a,1),30(a,2,1,1)),flip(a)]. 13068 R(x / y,y,a(y,z,y)) = x / y. [para(13062(a,1),12375(a,1)),flip(a)]. 13069 R((x * y) / y,y,a(y,z,y)) = x. [para(13068(a,2),15(a,1))]. 13071 R(x,y,a(y,z,y)) = x. [para(15(a,1),13069(a,1,1))]. 13073 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ ((z * x) * a(x,y,x)). [para(13071(a,1),460(a,1,1,1)),flip(a)]. 13075 (x * y) \ (x * R(y,z,y)) = a(y,z,y). [hyper(68,a,13063,a)]. 13076 (x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),y * z,x). [para(13063(a,1),28(a,2,2,2)),flip(a)]. 13077 (a(x,y,x) \ 1) \ K(z * x,a(x,y,x)) = (((z * R(x,y,x)) / (z * x)) \ 1) \ 1. [para(13063(a,1),5784(a,1,1,1,1)),flip(a)]. 13078 (x * y) \ (R(x,z,x) * y) = (u * x) \ (u * R(x,z,x)). [para(13075(a,2),13059(a,2))]. 13079 L(a(x,y,x),z,x) = (u * x) \ (u * R(x,y,x)). [para(13078(a,1),13061(a,1)),flip(a)]. 13080 L(a(x \ y,z,x \ y),u,x \ y) = y \ (x * R(x \ y,z,x \ y)). [para(14(a,1),13079(a,2,1))]. 13081 L(a(x,y,x),z,x) = (u * T(x,w)) \ ((u * K(x,w)) * R(x,y,x)). [para(6403(a,1),13079(a,2,1))]. 13083 (x * K(y,z)) \ (R(y,u,y) * (K(y,z) * (y \ T(x,K(y,z))))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(13058(a,2),138(a,1,2))]. 13084 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [para(13066(a,1),10374(a,1)),flip(a)]. 13085 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(13084(a,1),12502(a,1,2))]. 13086 (K(x,y) * z) * a(y,u,y) = y * (L(T(y,x),u,y) \ z). [para(13084(a,1),13054(a,1)),flip(a)]. 13087 a(x,y,x) * (K(z,x) * u) = x * (L(T(x,z),y,x) \ u). [para(13086(a,1),12691(a,2))]. 13088 L(a(x,y,x),z,x) = (u * T(x,w)) \ (u * (K(x,w) * R(x,y,x))). [para(6426(a,1),13081(a,2,2))]. 13089 L(a(x,y,x),z,x) = (u * T(x,w)) \ (u * R(T(x,w),y,x)). [para(7543(a,1),13088(a,2,2,2))]. 13090 (x * T(y,z)) \ (x * R(T(y,z),u,y)) = a(y,u,y). [para(13089(a,1),235(a,1))]. 13091 (x * K(y,z)) \ ((x / y) * R(T(y,z),u,y)) = a(y,u,y). [para(6410(a,1),13090(a,1,1))]. 13092 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(416(a,1),13080(a,2,2))]. 13093 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [para(13085(a,1),5228(a,1))]. 13094 (((x * R(y,z,y)) / (x * y)) \ 1) \ 1 = a(y,z,y) * K(x * y,a(y,z,y)). [para(13077(a,1),12751(a,1))]. 13095 a(x,y,x) * K(z * x,a(x,y,x)) = (R(a(x,y,x),x,z) \ 1) \ 1. [para(12372(a,1),13094(a,1,1,1)),flip(a)]. 13096 a(x,y,x) * K(z * x,a(x,y,x)) = R((a(x,y,x) \ 1) \ 1,x,z). [para(13095(a,2),3632(a,2)),flip(a)]. 13097 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ (z * R(x,y,x)). [para(13063(a,1),13073(a,2,2))]. 13098 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = x. [para(13097(a,2),13056(a,1))]. 13099 L(x,a(x,y,x),R(z,x,a(x,y,x))) = x. [para(11871(a,1),13098(a,1,1))]. 13101 L(x,a(x,y,x),z) = x. [para(13069(a,1),13099(a,1,3))]. 13102 (x * a(y,z,y)) * L(y,u,w) = x * (a(y,z,y) * L(y,u,w)). [para(13101(a,1),313(a,1,2,1))]. 13103 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(9013(a,1),13092(a,2,2,1))]. 13105 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (y * a(x,z,x)). [para(13051(a,1),13103(a,2,2))]. 13106 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = a(x,z,x). [para(13105(a,2),13(a,1))]. 13107 a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,x). [para(13106(a,1),235(a,1)),flip(a)]. 13108 K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). [para(13107(a,1),12467(a,1)),flip(a)]. 13109 K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). [para(38(a,1),13108(a,1,1,2))]. 13111 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = ((y \ x) * L(y,z,u)) * R(T(y,y \ x),w,y). [para(9279(a,1),13065(a,1,2)),flip(a)]. 13113 (1 / x) * (((1 / x) / ((1 / x) * K(y,y \ (x \ 1)))) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(11494(a,1),11065(a,1,1)),flip(a)]. 13114 (1 / x) * (((1 / x) / (y * ((1 / x) / y))) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(7245(a,1),13113(a,1,2,1,2))]. 13116 (1 / x) * (K(y \ (1 / x),y) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(5105(a,1),13114(a,1,2,1))]. 13117 (1 / x) * (K(y \ (x \ 1),y) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(6625(a,1),13116(a,1,2,1))]. 13118 (1 / x) * (1 / (y * ((1 / x) / y))) = (x \ 1) / (y * ((1 / x) / y)). [para(7712(a,1),13117(a,1,2))]. 13119 (1 / x) * (1 / (y * ((1 / x) / y))) = ((y \ (x \ 1)) * y) * x. [para(13118(a,2),6803(a,1))]. 13120 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(12714(a,1),12768(a,2,1,1))]. 13121 (x * y) / (R(R((z \ (1 / u)) * z,u,x),u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3875(a,2),13033(a,1,2,1,1))]. 13122 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((R((x \ (1 / u)) * x,u,y) * (u * y)) * z). [para(100(a,1),13121(a,1,2)),flip(a)]. 13123 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / (((((x \ (1 / u)) * x) * u) * y) * z). [para(100(a,1),13122(a,2,2,1))]. 13124 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((K(u \ (x \ 1),x) * y) * z). [para(7063(a,1),13123(a,2,2,1,1))]. 13125 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = R(K(x,u \ (x \ 1)),y,z). [para(13124(a,2),6959(a,1))]. 13126 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = K(x,R(u * x,y,z) \ 1). [para(13125(a,2),7073(a,1))]. 13127 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u * x,y,z) \ 1). [para(384(a,1),13126(a,1,2,2,2))]. 13128 K(x,R(y * x,z,u) \ 1) = K(x,R(y,z,u) \ (x \ 1)). [para(13127(a,1),7074(a,1))]. 13129 K(x \ 1,R(y,z,u) \ ((x \ 1) \ 1)) = K(R(x,z,u) \ 1,y \ x). [para(13128(a,1),7279(a,1))]. 13130 K(x,R(y \ 1,z,u) \ (x \ 1)) = R(K(x,x \ y),z,u). [para(13128(a,1),10828(a,1))]. 13131 K(x,(y * z) / (T(y,z) * x)) = R(K(x,x \ z),z,y). [para(13130(a,1),9768(a,1)),flip(a)]. 13132 K(x,R(x \ y,x,T(z,y))) = R(K(x,x \ y),y,z). [para(13131(a,1),9379(a,2))]. 13133 K(R(x,y,z) \ 1,u \ x) = K(x \ 1,R(u,y,z) \ x). [para(13129(a,1),7226(a,1))]. 13134 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,((y * (y \ x)) \ 1) \ 1). [para(11973(a,1),6372(a,1,3)),flip(a)]. 13135 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,(x \ 1) \ 1). [para(14(a,1),13134(a,2,3,1,1))]. 13137 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,x). [para(13135(a,2),4829(a,1))]. 13138 K(x,x \ y) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). [para(5137(a,1),13137(a,1,1))]. 13139 K(x,x \ y) \ ((((x \ y) * x) \ 1) \ K(x,x \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). [para(84(a,1),13138(a,1,2,2))]. 13140 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ (((x * (x \ y)) \ 1) \ 1). [para(11973(a,1),13139(a,1,2)),flip(a)]. 13141 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ ((y \ 1) \ 1). [para(14(a,1),13140(a,2,2,1,1))]. 13143 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x \ y,x) * ((y \ 1) \ 1). [para(13141(a,2),5336(a,1))]. 13144 R((x \ y) * x,((x \ y) * x) \ 1,y) = T((x \ y) * x,y \ 1). [para(13143(a,2),6194(a,1))]. 13145 T((x \ y) * x,y \ 1) \ y = (((x \ y) * x) \ 1) * y. [para(13144(a,1),273(a,1,1))]. 13146 (((x \ y) * x) \ 1) * y = (y \ 1) * (x * (y / x)). [para(13145(a,1),7376(a,1))]. 13147 T(R(K(x,y),z,u) * (R(K(y,x),z,u) * (K(x,w) * v5)),R(K(y,x),z,u)) = (R(K(y,x),z,u) \ 1) * (K(x,w) * (v5 * R(K(y,x),z,u))). [para(6953(a,1),11262(a,1,1,1))]. 13148 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,R(K(x,y),z,u)). [para(6956(a,1),13147(a,1,1)),flip(a)]. 13150 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,K(y,R(x,z,u))). [para(13148(a,2),10319(a,1))]. 13151 R(K(x,y),z,u) * (K(x,w) * (v5 * R(K(y,x),z,u))) = T(K(x,w) * v5,K(x,R(y,z,u))). [para(6953(a,1),13150(a,1,1))]. 13152 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(13151(a,1),11263(a,2))]. 13153 (K(x,y) * z) * K(R(K(x,u),w,v5),R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(6953(a,1),13152(a,1,2,1))]. 13154 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * (K(x,y) * z),R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(10251(a,1),13153(a,1,2))]. 13155 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(11405(a,1),13154(a,1,2,2))]. 13157 (K(x,y) * z) * K(u,K(z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(11408(a,1),13155(a,1,2,2))]. 13158 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(13157(a,1),8446(a,1))]. 13160 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(11218,a,13158,a)]. 13161 T(x,K(R(y,z,u),w)) = T(x,K(y,R(w,z,u))). [hyper(10639,a,13158,a)]. 13162 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(424(a,1),13160(a,1,2,2)),flip(a)]. 13163 T(x,K(y,R(z \ 1,u,w))) = T(x,K(z,R(y,u,w))). [para(13160(a,1),10293(a,1))]. 13164 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(13160(a,1),12736(a,1))]. 13165 (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(13163(a,1),10567(a,1,2))]. 13166 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [para(13162(a,1),12217(a,1))]. 13167 T(x,K(y,z * (x \ 1))) = T(x,K(y,x \ z)). [para(13166(a,1),7992(a,1)),flip(a)]. 13168 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(8747(a,1),13166(a,1,2)),flip(a)]. 13170 T(x,K(y,z * (x \ 1))) = T(x,K(z,y)). [para(13167(a,2),9541(a,1))]. 13171 T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). [para(13170(a,2),8502(a,1))]. 13172 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [para(7212(a,1),13171(a,1,2))]. 13173 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(13172(a,1),5302(a,1,1))]. 13174 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(8757(a,1),13168(a,1,2)),flip(a)]. 13175 T(x,K(y,z / (u \ 1))) = T(x,K(y,z * u)). [para(7212(a,1),13174(a,1,2)),flip(a)]. 13176 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [para(13174(a,1),10152(a,1))]. 13177 T(x,K(y,(z * (u \ 1)) * u)) = T(x,K(y,z)). [para(15(a,1),13175(a,1,2,2)),flip(a)]. 13178 T(x,K(y / (z \ 1),u)) = T(x,K(u,y * z)). [para(13175(a,1),8502(a,1)),flip(a)]. 13179 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [para(13176(a,1),9589(a,1))]. 13180 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [para(13179(a,1),10148(a,1)),flip(a)]. 13181 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [para(13180(a,2),5200(a,1))]. 13182 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(5247,a,13181,a)]. 13183 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(z,y) * K(R(y,u,w),z)). [para(13164(a,1),12737(a,1)),flip(a)]. 13184 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [para(2114(a,1),13183(a,1,2)),flip(a)]. 13185 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [para(13184(a,1),12739(a,1)),flip(a)]. 13186 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [para(13185(a,2),5200(a,1)),flip(a)]. 13187 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,5200,a(flip),b,13186,a),flip(a)]. 13188 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(8418(a,1),13173(a,1,2,1,2))]. 13189 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(10198(a,1),13188(a,1,2,1,2))]. 13190 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(8442(a,1),13189(a,1,2,1,2))]. 13191 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(8527(a,1),13190(a,1,2,1,2))]. 13192 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(5404(a,1),13191(a,1,2,1))]. 13193 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(13192(a,1),5570(a,2))]. 13194 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(10211(a,1),13193(a,1,1)),flip(a)]. 13195 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(6304(a,1),13194(a,2,2))]. 13196 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(13195(a,2),8493(a,1))]. 13197 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(12410(a,1),12413(a,2,2,1,1))]. 13198 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(13197(a,2),1085(a,1))]. 13199 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(1566(a,1),13198(a,2,2))]. 13200 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(585(a,1),13199(a,2,2,1))]. 13201 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(716(a,1),13200(a,2,2,1,2))]. 13202 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(1085(a,1),13201(a,1,1))]. 13203 x * ((x * (((x \ y) \ 1) \ 1)) / ((((x / y) \ 1) \ 1) * (x * (((x \ y) \ 1) \ 1)))) = ((1 / (x / y)) \ y) * ((x / y) \ 1). [para(3442(a,1),4054(a,2,1))]. 13204 ((1 / (x / y)) \ y) * ((x / y) \ 1) = x * ((x * (((x \ y) \ 1) \ 1)) / x). [para(2896(a,1),13203(a,1,2,2)),flip(a)]. 13205 ((1 / (x / y)) \ y) * ((x / y) \ 1) = x * (((y / x) \ 1) \ 1). [para(2883(a,1),13204(a,2,2))]. 13206 ((1 / (x * K(y,z))) \ K(z,y)) * ((x / K(z,y)) \ 1) = x * (((K(z,y) / x) \ 1) \ 1). [para(7768(a,1),13205(a,1,1,1,2))]. 13207 ((1 / (x * K(y,z))) \ K(z,y)) * ((x * K(y,z)) \ 1) = x * (((K(z,y) / x) \ 1) \ 1). [para(7768(a,1),13206(a,1,2,1))]. 13208 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(9795(a,2),11815(a,1))]. 13209 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(13208(a,2),8449(a,1))]. 13210 (K(x,y \ (x \ 1)) * L(K(y \ (x \ 1),x),z,u)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(10826(a,1),10998(a,1,1,1))]. 13211 (K(x,y \ (x \ 1)) * K(L(y * x,z,u) \ 1,x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(6880(a,1),13210(a,1,1,2))]. 13212 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(12085(a,1),13211(a,1,1,2))]. 13213 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(x,y \ (x \ 1)) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(10826(a,1),13212(a,1,2,1))]. 13214 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(y \ (x \ 1),x) * w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(5336(a,1),13213(a,1,2))]. 13215 x * L(x \ ((y * (z * ((y \ 1) / z))) \ x),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [para(13214(a,1),12712(a,1))]. 13216 x * L(x \ (K(y,z \ (y \ 1)) \ x),u,w) = K(L(z,u,w) \ (y \ 1),y) * x. [para(10826(a,1),13215(a,1,2,1,2,1))]. 13218 x * L(T(K(y \ (z \ 1),z),x),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [para(5437(a,1),13216(a,1,2,1))]. 13219 x * L(K(y \ (z \ 1),T(z,x)),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [para(7973(a,2),13218(a,1,2,1))]. 13220 x * K(L(y * z,u,w) \ 1,T(y,x)) = K(L(z,u,w) \ (y \ 1),y) * x. [para(10913(a,1),13219(a,1,2))]. 13221 K(L(x * y,z,u) \ 1,x) * w = K(L(y,z,u) \ (x \ 1),x) * w. [para(13220(a,1),7967(a,1)),flip(a)]. 13222 K(x,y \ (x \ 1)) / (K(L(y,z,u) \ (x \ 1),x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(13221(a,1),12928(a,1,2))]. 13223 L(K(x \ (y \ 1),y) \ 1,z,u) = K(y,L(x,z,u) \ (y \ 1)). [para(13222(a,1),5438(a,1))]. 13224 L(K(x,y \ (x \ 1)),z,u) = K(x,L(y,z,u) \ (x \ 1)). [para(5332(a,1),13223(a,1,1))]. 13226 K(x,L(x * y,z,u) \ 1) = K(x,L(y,z,u) \ (x \ 1)). [para(13224(a,1),10811(a,1)),flip(a)]. 13227 K(x \ 1,L(y,z,u) \ ((x \ 1) \ 1)) = K(L(x,z,u) \ 1,y \ x). [para(13226(a,1),11296(a,1))]. 13228 K(L(x,y,z) \ 1,u \ x) = K(x \ 1,L(u,y,z) \ x). [para(13227(a,1),7226(a,1))]. 13230 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(3373(a,1),7562(a,1,1,1,2))]. 13231 K(x,K(K(x \ y,x) * z,R(x \ y,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(10251(a,1),12482(a,1,1))]. 13232 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [para(12841(a,2),13(a,1))]. 13233 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(12840(a,1),13232(a,1,3))]. 13236 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(4844(a,1),13230(a,1,1,1))]. 13237 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(103(a,1),13236(a,1,1,1)),flip(a)]. 13241 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(3373(a,1),13237(a,2,1,3,2))]. 13242 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),13241(a,2,1,3))]. 13246 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4829(a,1),13242(a,2,1))]. 13247 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(57(a,1),13246(a,1,1,1,1,2))]. 13249 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(3373(a,1),13247(a,1,1,2))]. 13250 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [para(13249(a,1),6671(a,1)),flip(a)]. 13251 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),13250(a,1,1,1,1)),flip(a)]. 13253 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(8189(a,1),13251(a,2,1,1))]. 13254 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [para(13253(a,2),7540(a,1))]. 13255 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(32(a,2),13254(a,1,1,3))]. 13256 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(8800(a,1),13255(a,2,1))]. 13257 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [para(13256(a,1),7080(a,1)),flip(a)]. 13258 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(13257(a,1),9473(a,2,2))]. 13259 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(13257(a,1),9242(a,2,2))]. 13260 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [para(13258(a,2),89(a,1))]. 13261 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [para(7967(a,1),13260(a,2,2))]. 13262 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [para(13261(a,1),9467(a,1)),flip(a)]. 13263 (K(x * y,z) * y) * T(x,y) != x * u | K(y * x,z) * y = u. [para(13262(a,2),19(a,1))]. 13264 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(13259(a,2),89(a,1))]. 13265 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(7967(a,1),13264(a,2,2))]. 13266 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(104(a,1),13265(a,1,1,2,2,1))]. 13267 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(9183(a,1),13266(a,1,1,2))]. 13268 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7974(a,1),13267(a,1,1))]. 13269 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(104(a,1),13268(a,1,2,1,1,1))]. 13271 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(13269(a,1),5285(a,1,2)),flip(a)]. 13272 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [para(13271(a,2),5535(a,1))]. 13273 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [para(13272(a,1),4230(a,1))]. 13274 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [para(13273(a,1),9142(a,1))]. 13275 K(x,K(y,R(x \ z,z,u))) * R(K(x \ z,x) * K(y,K(x \ z,x)),z,u) = L((z * u) / ((x * (z / x)) * u),y,K(x \ z,x)). [para(8648(a,1),13231(a,1,1))]. 13277 K(x,K(y,R(z,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(10256(a,1),13275(a,1,1))]. 13279 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,z) * K(u,K(z \ x,z)),x,y). [para(10248(a,1),13277(a,1,1)),flip(a)]. 13280 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,T(z,u)),x,y). [para(8547(a,1),13279(a,2,2,1))]. 13282 L(R(K(x \ y,x),y,z),u,K(x \ y,x)) = K(x,K(y,u)) * R(K(x \ y,T(x,u)),y,z). [para(6962(a,1),13280(a,1,1))]. 13283 K(x,K(y,z)) * R(K(x \ y,T(x,z)),y,u) = R(K(x \ y,x),y,u). [para(13282(a,1),7443(a,1))]. 13285 ((((x * y) \ 1) \ 1) \ ((x * y) * (1 / (y * x)))) * T(((x * y) * (1 / (y * x))) * (y * x),(y * x) \ 1) = (x * y) * (1 / (y * x)). [para(11971(a,1),9839(a,1,1,1))]. 13286 (K((x * y) \ 1,x * y) * (1 / (y * x))) * T(((x * y) * (1 / (y * x))) * (y * x),(y * x) \ 1) = (x * y) * (1 / (y * x)). [para(2737(a,1),13285(a,1,1))]. 13287 (K(x \ (y \ 1),y * x) * (1 / (x * y))) * T(((y * x) * (1 / (x * y))) * (x * y),(x * y) \ 1) = (y * x) * (1 / (x * y)). [para(11392(a,1),13286(a,1,1,1))]. 13288 (K(x \ (y \ 1),y * x) / (x * y)) * T(((y * x) * (1 / (x * y))) * (x * y),(x * y) \ 1) = (y * x) * (1 / (x * y)). [para(6842(a,1),13287(a,1,1))]. 13289 ((x * y) \ 1) * T(((y * x) * (1 / (x * y))) * (x * y),(x * y) \ 1) = (y * x) * (1 / (x * y)). [para(12902(a,1),13288(a,1,1))]. 13290 ((x * y) \ 1) * T(((y * x) \ 1) \ 1,(x * y) \ 1) = (y * x) * (1 / (x * y)). [para(11974(a,1),13289(a,1,2,1))]. 13291 (((x * y) \ 1) \ 1) * ((y * x) \ 1) = (x * y) * (1 / (y * x)). [para(13290(a,1),104(a,1)),flip(a)]. 13292 (((((1 / (1 / x)) / y) * y) \ 1) \ 1) * ((1 / (1 / (y * (x / y)))) \ 1) = (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))). [para(12067(a,2),13291(a,1,2,1))]. 13293 (((1 / (1 / x)) \ 1) \ 1) * ((1 / (1 / (y * (x / y)))) \ 1) = (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))). [para(16(a,1),13292(a,1,1,1,1))]. 13295 (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))) = ((1 / x) \ 1) * ((1 / (1 / (y * (x / y)))) \ 1). [para(59(a,1),13293(a,1,1,1)),flip(a)]. 13296 (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))) = x * ((1 / (1 / (y * (x / y)))) \ 1). [para(59(a,1),13295(a,2,1))]. 13298 (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))) = x * (1 / (y * (x / y))). [para(59(a,1),13296(a,2,2))]. 13299 (1 / (1 / x)) * (1 / (y * ((1 / (1 / x)) / y))) = x * (1 / (y * (x / y))). [para(16(a,1),13298(a,1,1))]. 13302 ((x \ ((1 / y) \ 1)) * x) * (1 / y) = y * (1 / (x * (y / x))). [para(13299(a,1),13119(a,1)),flip(a)]. 13303 ((x \ y) * x) * (1 / y) = y * (1 / (x * (y / x))). [para(59(a,1),13302(a,1,1,1,2))]. 13304 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12714(a,1),12741(a,1,2,1,1))]. 13305 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11997(a,1),13304(a,1,2,1))]. 13306 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(8506(a,1),13305(a,1,2,1,1))]. 13307 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12731(a,1),13306(a,1,2,1))]. 13308 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(12799(a,1),13307(a,1,2)),flip(a)]. 13309 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [para(13308(a,2),12812(a,1))]. 13310 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(12714(a,1),13309(a,1,2))]. 13311 R(T(x,y) * K(y * L(x,z,u),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(5321(a,1),6184(a,1,1,1,2))]. 13312 R(R(x,y,L(x,z,u)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(6809(a,1),13311(a,1,1,1))]. 13313 R(R(x,y,L(x,z,u)),w,v5) * (y * L(x,z,u)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1042(a,1),13312(a,1,2))]. 13314 (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5) = (R(x,w,v5) * y) * L(x,z,u). [para(13313(a,1),336(a,1))]. 13315 (x * L(y,z,u)) * R(T(y,x),w,v5) = (R(y,w,v5) * x) * L(y,z,u). [para(1042(a,1),13314(a,1,1))]. 13316 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (R(y,w,y) * (y \ x)) * L(y,z,u). [para(13315(a,1),13111(a,2))]. 13317 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (x * a(y,w,y)) * L(y,z,u). [para(13051(a,1),13316(a,2,1))]. 13318 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = x * (a(y,w,y) * L(y,z,u)). [para(13317(a,2),13102(a,1))]. 13319 (x * L(y,z,u)) * a(y,w,y) = x * (a(y,w,y) * L(y,z,u)). [para(12423(a,1),13318(a,1,2))]. 13320 (x * (a(y,z,y) * L(y,u,w))) \ ((x * (a(y,z,y) * L(y,u,w))) * a(y,z,y)) = L(a(y,z,y),L(y,u,w),x). [para(13319(a,1),11877(a,1,1))]. 13322 L(a(x,y,x),L(x,z,u),w) = a(x,y,x). [para(13320(a,1),13(a,1))]. 13323 (x * (y * (1 / (z * (y / z))))) * a(x,K((1 / y) \ K(z \ y,z),1 / y),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(13303(a,1),6813(a,1,1,2))]. 13324 R(T(1 / x,y),x,K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5261(a,1),7043(a,2,2))]. 13325 R(T(1 / x,y),x,K(x \ 1,y) \ (z * T(x \ 1,y))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5261(a,1),13324(a,1,1,3,2,2))]. 13326 R(T(1 / x,y),x,K(x \ 1,y) \ (z * T(x \ 1,y))) * ((K(x \ 1,y) \ (z * T(x \ 1,y))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5261(a,1),13325(a,1,2,1,2,2))]. 13327 K(x \ 1,y) * T(K(x \ 1,y) \ (z * T(x \ 1,y)),x) = ((x \ z) * x) * T(x \ 1,y). [para(13326(a,1),7042(a,1)),flip(a)]. 13328 (x * (y * (1 / (z * (y / z))))) * a(x,K((z \ y) * z,1 / y),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(5647(a,1),13323(a,1,2,2,1))]. 13329 (x * (y * (1 / (z * (y / z))))) * a(x,K((z \ y) * z,y \ 1),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(3597(a,1),13328(a,1,2,2))]. 13330 (x * (y * (1 / (z * (y / z))))) * a(x,K(y,y \ 1),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(5274(a,1),13329(a,1,2,2))]. 13331 (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z) = (x * (y * (1 / (z * (y / z))))) * 1. [para(4947(a,1),13330(a,1,2)),flip(a)]. 13333 (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z) = x * (y * (1 / (z * (y / z)))). [hyper(71,a,13331,a(flip)),flip(a)]. 13335 (x * K((y \ z) * y,1 / z)) * K(y \ z,y) = x * (z * (1 / (y * (z / y)))). [para(5647(a,1),13333(a,1,1,2,1))]. 13336 (x * K((y \ z) * y,z \ 1)) * K(y \ z,y) = x * (z * (1 / (y * (z / y)))). [para(3597(a,1),13335(a,1,1,2))]. 13337 (x * K(y,y \ 1)) * K(z \ y,z) = x * (y * (1 / (z * (y / z)))). [para(5274(a,1),13336(a,1,1,2))]. 13339 x / ((y \ 1) * (z * (y / z))) = x * (y * (1 / (z * (y / z)))). [para(13337(a,1),7783(a,1)),flip(a)]. 13340 K((T(x \ y,y \ x) * (1 / (x \ y))) \ (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(6867(a,1),12527(a,1,1,1))]. 13341 K(((T(x \ y,y \ x) \ 1) * (x \ y)) * (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(8324(a,1),13340(a,1,1))]. 13342 K((T((x \ y) \ 1,x \ y) * (x \ y)) * (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(1983(a,1),13341(a,1,1,1,1))]. 13343 K((T(x \ y,y \ x) * (1 / (x \ y))) * (T((x \ y) \ 1,x \ y) * y),z) = K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))). [para(6867(a,1),13342(a,1,1,1))]. 13344 (x \ (T(y,z) / (x \ y))) * T(T(x,K(y,z)),K(z,x / ((x \ y) \ 1)) \ 1) = T(T(y,z) / (x \ y),K(z,x / ((x \ y) \ 1))). [para(10039(a,1),6715(a,1,2,1))]. 13345 (x \ (T(y,z) / (x \ y))) * T(T(x,K(y,z)),K(x / ((x \ y) \ 1),z)) = T(T(y,z) / (x \ y),K(z,x / ((x \ y) \ 1))). [para(5332(a,1),13344(a,1,2,2))]. 13346 (x \ (T(y,z) / (x \ y))) * T(T(x,K(y,z)),K(z,x * (x \ y))) = T(T(y,z) / (x \ y),K(z,x / ((x \ y) \ 1))). [para(13178(a,1),13345(a,1,2))]. 13347 (x \ (T(y,z) / (x \ y))) * T(T(x,K(y,z)),K(z,y)) = T(T(y,z) / (x \ y),K(z,x / ((x \ y) \ 1))). [para(14(a,1),13346(a,1,2,2,2))]. 13348 T(T(x,y) / (z \ x),K(y,z / ((z \ x) \ 1))) = (z \ (T(x,y) / (z \ x))) * z. [para(7749(a,1),13347(a,1,2)),flip(a)]. 13349 T(T(x,y) / (z \ x),K(x,y)) = (z \ (T(x,y) / (z \ x))) * z. [para(13348(a,1),12221(a,1)),flip(a)]. 13351 R(T(x / (y * ((z * (y \ 1)) / z)),y),K(u,w),K(w,v5)) = (y * (((z * (y \ 1)) / z) * T(((z * (y \ 1)) / z) \ (y \ x),y))) * K(y \ 1,z). [para(422(a,1),10532(a,1,1))]. 13352 R(T(x / K(y,z \ 1),z),K(u,w),K(w,v5)) = (z * (((y * (z \ 1)) / y) * T(((y * (z \ 1)) / y) \ (z \ x),z))) * K(z \ 1,y). [para(5224(a,1),13351(a,1,1,1,2))]. 13353 (x * (((y * (x \ 1)) / y) * T(((y * (x \ 1)) / y) \ (x \ z),x))) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(13352(a,1),6040(a,1))]. 13354 (x * ((y * ((x \ 1) * T((x \ 1) \ T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(1745(a,1),13353(a,1,1,2))]. 13355 (x * ((y * (x \ T(x * T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(604(a,1),13354(a,1,1,2,1,2))]. 13356 (x * ((y * T(x \ T(z,x),y)) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(1883(a,1),13355(a,1,1,2,1,2))]. 13357 (x * (x \ T(y,x))) * K(x \ 1,z) = T(y * K(x \ 1,z),x). [para(127(a,1),13356(a,1,1,2))]. 13358 T(x * K(y \ 1,z),y) = T(x,y) * K(y \ 1,z). [para(14(a,1),13357(a,1,1)),flip(a)]. 13360 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [hyper(6321,a,13358,a),flip(a)]. 13363 T((x / y) * K(y \ 1,z),y) = (y \ x) * K(y \ 1,z). [para(106(a,1),13358(a,2,1))]. 13365 T(K(x \ 1,y) \ z,x) = K(y,x \ 1) * T(z,x). [para(5336(a,2),13360(a,1,1))]. 13366 T(K(x,y \ 1) * T(z,y),K(x,y \ 1)) = T(z * K(x,y \ 1),y). [para(13360(a,1),7464(a,1,1))]. 13368 (K(x,y \ 1) * z) * K(z,y) = T(K(y \ 1,x) \ z,y). [para(13365(a,2),6409(a,2))]. 13369 x \ (y * K(x \ 1,z)) = (x \ y) * K(x \ 1,z). [para(13363(a,1),6201(a,1)),flip(a)]. 13370 x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). [para(13369(a,1),14(a,1,2))]. 13371 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(13(a,1),13370(a,1,2,1)),flip(a)]. 13372 K(x \ 1,(x \ y) \ z) = K(x \ 1,y \ (x * z)). [hyper(11193,a,13371,a),flip(a)]. 13373 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(6327,a,13371,a)]. 13374 R(x,y,K(x \ 1,z)) = x. [hyper(329,a,13371,a)]. 13377 R(x \ 1,y,K(x,z)) = x \ 1. [para(3074(a,1),13374(a,1,3))]. 13378 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(13377(a,1),100(a,1,1)),flip(a)]. 13379 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(6370(a,1),13373(a,1,1,1)),flip(a)]. 13380 K(x,L(y,z,y) \ 1) = (u * K(y \ 1,x)) \ u. [para(13373(a,1),7769(a,1,1,2)),flip(a)]. 13381 K(x \ 1,L(y,z,x)) = K(x \ 1,y). [para(13373(a,1),10772(a,1)),flip(a)]. 13383 K(x \ 1,R(y,z,x)) = K(x \ 1,y). [para(13379(a,1),6975(a,1)),flip(a)]. 13384 K(x \ 1,T((x * y) \ z,u)) = K(x \ 1,T(y \ (x \ z),u)). [para(370(a,1),13381(a,1,2))]. 13385 K(x \ 1,(y * x) / (z * x)) = K(x \ 1,y / z). [para(101(a,1),13383(a,1,2))]. 13386 K(x,L(y,z,y) \ 1) = K(x,y \ 1). [para(13380(a,2),5351(a,1))]. 13387 K(x,L(1 / y,z,1 / y) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(4388(a,2),13386(a,2,2))]. 13390 L(K(x \ 1,y \ (x * (z \ u))),z \ u,z) = K(x \ 1,(z * (x \ y)) \ u). [para(13372(a,1),10844(a,1,1))]. 13391 K(x,((x \ 1) \ y) \ z) = K(x,y \ ((x \ 1) * z)). [hyper(11193,a,13378,a),flip(a)]. 13392 L(K(x,y),z,x \ 1) = K(x,y). [hyper(7153,a,13378,a)]. 13393 K(x,y) * ((y \ 1) * (z * K(y,x))) = T((y \ 1) * z,K(y,x)). [para(13378(a,1),5354(a,1,2))]. 13394 K(x,L(y,z,x \ 1)) = K(x,y). [para(13392(a,1),10736(a,1)),flip(a)]. 13395 K(x,((x \ 1) * y) \ z) = K(x,y \ ((x \ 1) \ z)). [para(13392(a,1),10844(a,1)),flip(a)]. 13396 T(x,L(y,z,x \ 1)) = x * K(x,y). [para(13394(a,1),5200(a,2,2))]. 13399 T(x,L(y,z,x \ 1)) = T(x,y). [para(13396(a,2),5200(a,2)),flip(a)]. 13400 T(x,((x \ 1) \ y) \ z) = T(x,y \ ((x \ 1) * z)). [para(316(a,1),13399(a,1,2)),flip(a)]. 13402 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,y / z). [para(13385(a,1),11320(a,2))]. 13403 K(x \ 1,y / T(z * (x \ 1),x)) = K(x \ 1,y / (x \ z)). [para(424(a,1),13402(a,1,2,2))]. 13404 (K(x \ 1,y) \ z) * K(z,x) = T(K(x \ 1,y) \ z,x). [para(5336(a,2),13368(a,1,1))]. 13405 K(x / K(y \ 1,z),y) = K(x,y). [hyper(17,a,9063,a,b,13404,a),flip(a)]. 13406 K(K(x \ 1,y) \ z,x) = K(z,x). [hyper(17,a,5200,a(flip),b,13404,a),flip(a)]. 13407 K(x * K(y \ 1,z),y) = K(x,y). [para(15(a,1),13405(a,1,1)),flip(a)]. 13408 K(x,y / K(x \ 1,z)) = 1 / K(y,x). [para(13405(a,1),5344(a,1,2)),flip(a)]. 13409 K(x * K(y,z \ 1),z) = K(x,z). [para(7768(a,1),13405(a,1,1))]. 13410 K(x / T(y,z \ 1),z) = K(x / y,z). [para(7782(a,1),13405(a,1,1)),flip(a)]. 13413 K(K(x,y \ 1) * z,y) = K(z,y). [para(5336(a,1),13406(a,1,1))]. 13414 K(x * K(y \ z,u),z \ y) = K(x,z \ y). [para(6464(a,1),13407(a,1,1,2))]. 13415 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(8117(a,1),13407(a,1,1))]. 13416 K(x * K(y,y \ z),y / z) = K(x,y / z). [para(5598(a,1),13409(a,1,1,2))]. 13417 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(5791(a,1),13409(a,1,1))]. 13418 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5598(a,1),13413(a,1,1,1))]. 13421 K(x,y / K(x \ 1,z)) = K(x,y). [para(13408(a,2),5344(a,1))]. 13422 K(x,y * K(x \ 1,z)) = K(x,y). [para(15(a,1),13421(a,1,2)),flip(a)]. 13423 K(x \ 1,y / K(x,z)) = K(x \ 1,y). [para(3074(a,1),13421(a,1,2,2))]. 13424 K(x,y * K(z,x \ 1)) = K(x,y). [para(7768(a,1),13421(a,1,2))]. 13426 K(x,K(x \ 1,y) * z) = K(x,z). [para(7967(a,1),13422(a,1,2))]. 13427 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(8117(a,1),13422(a,1,2))]. 13428 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6520(a,1),13424(a,1,2,2))]. 13429 T(x,K(x \ 1,y) * z) = x * K(x,z). [para(13426(a,1),5200(a,2,2))]. 13430 K(x,y * (K(z,x \ 1) * u)) = K(x,y * u). [para(12489(a,1),13426(a,1,2)),flip(a)]. 13431 K(x / (y \ T(z,y \ 1)),y) = K((y * x) / z,y). [para(13410(a,1),10912(a,1)),flip(a)]. 13432 K(x \ 1,y / T(z,x)) = K(x \ 1,y / z). [para(7782(a,1),13423(a,1,2)),flip(a)]. 13434 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,(y * x) \ (x * z)). [para(13427(a,1),10813(a,1)),flip(a)]. 13435 T(x,K(x \ 1,y) * z) = T(x,z). [para(13429(a,2),5200(a,2)),flip(a)]. 13439 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(5534(a,1),13435(a,1,2))]. 13440 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(5828(a,1),13435(a,1,2)),flip(a)]. 13444 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(6589(a,1),13414(a,1,1)),flip(a)]. 13445 K(x * (y / z),z / y) = K(x * (z \ y),z / y). [para(7801(a,1),13416(a,1,1))]. 13446 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5828(a,1),13418(a,1,1)),flip(a)]. 13447 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(7801(a,1),13428(a,1,2))]. 13448 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(5352(a,1),13430(a,1,2,2)),flip(a)]. 13450 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(9350(a,1),13448(a,1,2,2))]. 13451 K(x / (y \ T(z,y \ 1)),y) = K(x / (y \ z),y). [para(13431(a,2),10912(a,1))]. 13452 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((K(x * (L(z,u,w) \ y),L(z,u,w) / y) * L(z,u,w)) / y,z). [para(13445(a,1),7676(a,1,1,1,1)),flip(a)]. 13453 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [para(13446(a,1),11927(a,2))]. 13454 T(K(x \ y,z * (y \ x)),x) = K((x / y) \ 1,z * (x / y)). [para(13447(a,1),8925(a,1,1))]. 13455 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(5864(a,1),13450(a,1,2,2)),flip(a)]. 13456 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(13453(a,1),12469(a,1,1))]. 13457 K(x \ 1,T((x * y) \ L(z,x \ 1,x),u)) = K(x \ 1,T(y \ ((x \ 1) * z),u)). [para(360(a,1),13384(a,2,2,1,2))]. 13458 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [para(13393(a,1),6303(a,1))]. 13459 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(5044,a,13458,a),flip(a)]. 13460 T(x * y,K(x,z)) = x * T(y,K(x,z)). [hyper(4792,a,13458,a),flip(a)]. 13461 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(4983,a,13459,a)]. 13462 T(x * (y * K(z \ x,z)),K(x,z)) = x * (K(z \ x,z) * y). [para(10086(a,1),13460(a,2,2))]. 13463 T(x \ K(y,z),K(x,y)) = x \ K(y,z). [para(2112(a,1),13461(a,1,2)),flip(a)]. 13464 K(x,T(y \ x,K(y,z))) = K(x,y \ x). [para(13461(a,1),11684(a,1,2))]. 13465 (x * K(y,z)) \ (R(y,u,y) * (K(y,z) * T(y \ x,K(y,z)))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(13461(a,1),13083(a,1,2,2,2))]. 13466 T(K(x,y) / z,T(z,x)) = z \ K(x,y). [para(13463(a,1),9232(a,2))]. 13467 K(x,T(y \ x,K(R(y,z,u),w))) = K(x,y \ x). [para(13161(a,2),13464(a,1,2))]. 13468 K(x,(y * z) \ T(z,u)) = T(K(x,y \ K(z,u)),z). [para(13466(a,1),10071(a,1,1,2)),flip(a)]. 13469 T(K(x,(y / z) \ K(z,u)),z) = K(x,y \ T(z,u)). [para(16(a,1),13468(a,1,2,1)),flip(a)]. 13470 K(x,T(y / z,z) \ K(z,u)) = K(x,y \ T(z,u)). [para(13469(a,1),9352(a,2))]. 13471 K(x,(y * z) \ T(y,u)) = K(x,z \ K(y,u)). [para(126(a,1),13470(a,1,2,1)),flip(a)]. 13472 K((x * y) \ T(x,z),u) = (u \ 1) / (u \ K(u,y \ K(x,z))). [para(13471(a,1),5589(a,1,2,2)),flip(a)]. 13473 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,y / (x \ z)). [para(13403(a,1),13432(a,1)),flip(a)]. 13474 K(x \ 1,y / (x \ z)) = K(x \ 1,(z / y) \ x). [para(13473(a,1),9377(a,1))]. 13475 R(K(x \ 1,(y / (z / u)) \ x),z / u,u) = K(x \ 1,z / ((x \ y) * u)). [para(13474(a,1),6966(a,1,1))]. 13476 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,y \ (x \ (x * z))). [para(13434(a,2),9308(a,1))]. 13477 K((x / y) \ 1,z * (x / y)) = K(y / x,z * (y \ x)). [para(13454(a,1),8845(a,1))]. 13478 K(x / y,z * (y / x)) = K(x / y,z * (x \ y)). [para(13477(a,1),5830(a,1)),flip(a)]. 13479 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(13455(a,1),9095(a,1,1))]. 13480 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = y * (K(x \ y,x) * z). [para(13462(a,1),11988(a,2))]. 13481 K((x * y) \ T(x,z),u) = K(y \ K(x,z),u). [para(13472(a,2),5589(a,1))]. 13482 K((x \ y) \ K(x,z),u) = K(y \ T(x,z),u). [para(14(a,1),13481(a,1,1,1)),flip(a)]. 13483 K(T(x / y,T(y,x)) \ K(y,z),u) = K(x \ T(y,z),u). [para(3929(a,2),13482(a,1,1,1))]. 13484 T(K((x / y) \ K(y,z),u),T(y,x)) = K(x \ T(y,z),u). [para(13483(a,1),9821(a,1)),flip(a)]. 13485 T(K(x \ T(y,z),u),T(y,x)) = K((x / y) \ K(y,z),u). [para(13484(a,1),8540(a,1,1))]. 13486 K((x / y) \ K(y,z),u) = T(K(x \ T(y,z),u),y). [para(13485(a,1),10147(a,1))]. 13487 K((x / y) \ K(y,z),u) = K(x \ T(y,z),T(u,y)). [para(13486(a,2),7973(a,2)),flip(a)]. 13488 K((x / L(y,z,u)) \ K(L(y,z,u),w),(v5 * y) / v5) = K(x \ T(L(y,z,u),w),(v5 * y) / v5). [para(532(a,1),13487(a,2,2))]. 13489 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,y \ z). [para(13(a,1),13476(a,2,2,2))]. 13490 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(13(a,1),13489(a,1,2,1,1)),flip(a)]. 13491 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [para(13479(a,1),7973(a,2))]. 13492 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [para(13491(a,1),8747(a,1))]. 13494 T(x * K(y,z \ 1),z) = T(x,z) * K(y,z \ 1). [para(13366(a,1),7445(a,1))]. 13495 T(K(x \ 1,y) * z,x) = K(x \ 1,y) * T(z,x). [hyper(6321,a,13494,a),flip(a)]. 13497 T(x * K(y,(z \ 1) \ 1),z \ 1) = T(x,z \ 1) * K(y,z). [para(3596(a,1),13494(a,2,2))]. 13499 T(K(x \ 1,y) * (K(x \ 1,y) \ (z * T(x \ 1,y))),x) = ((x \ z) * x) * T(x \ 1,y). [para(13495(a,2),13327(a,1))]. 13500 T(x * K(y,z),z \ 1) = T(x,z \ 1) * K(y,z). [para(3596(a,1),13497(a,1,1,2))]. 13501 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(6321,a,13500,a),flip(a)]. 13502 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(40(a,2),13501(a,2,2))]. 13503 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [para(13501(a,2),6282(a,1,2))]. 13504 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [para(13503(a,1),104(a,1)),flip(a)]. 13505 R(K(x,y),z,x \ 1) = K(x,y). [hyper(329,a,13504,a)]. 13506 K(x,R(y,z,x \ 1)) = K(x,y). [para(13505(a,1),6971(a,1)),flip(a)]. 13507 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(13506(a,1),5200(a,2,2))]. 13508 R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). [para(13506(a,1),5767(a,1,2)),flip(a)]. 13510 T(x,R(y,z,x \ 1)) = T(x,y). [para(13507(a,2),5200(a,2)),flip(a)]. 13511 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(501(a,1),13510(a,1,2))]. 13512 R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). [para(13508(a,2),3166(a,1))]. 13513 x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). [para(13512(a,2),4665(a,1,2))]. 13514 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [para(13511(a,1),11671(a,1)),flip(a)]. 13515 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(56(a,1),13514(a,1,2,2))]. 13516 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(106(a,1),13515(a,1,2)),flip(a)]. 13517 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [para(13516(a,2),11524(a,1))]. 13518 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [para(13517(a,1),13440(a,1)),flip(a)]. 13519 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(32(a,2),13518(a,1,2,1)),flip(a)]. 13520 T(x,y \ ((x \ 1) * z)) = T(x,y \ (x \ z)). [para(13518(a,1),13400(a,1)),flip(a)]. 13521 (x * T(y,z \ (y \ u))) / T(x,y) = T(y,T(z \ ((y \ 1) * u),x)). [para(13520(a,1),9078(a,1,1,2))]. 13522 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [para(13519(a,1),11146(a,1)),flip(a)]. 13523 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [para(13522(a,2),13439(a,1))]. 13524 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [para(13523(a,1),11117(a,1)),flip(a)]. 13525 x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). [para(455(a,1),13513(a,2,2))]. 13526 K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). [para(5368(a,1),13525(a,1,2)),flip(a)]. 13527 K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). [para(13526(a,1),8082(a,1,2,1))]. 13528 K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). [para(13527(a,1),10781(a,1)),flip(a)]. 13529 T(x,T(y \ ((x \ 1) * z),u)) = T(x,T(y \ (x \ z),u)). [para(13521(a,1),9078(a,1))]. 13530 K(x,T(y \ ((x \ 1) * z),u)) = x \ T(x,T(y \ (x \ z),u)). [para(13529(a,1),5169(a,2,2))]. 13531 K(x,T(y \ ((x \ 1) * z),u)) = K(x,T(y \ (x \ z),u)). [para(13530(a,2),5169(a,2)),flip(a)]. 13532 K(x \ 1,T(y \ ((x \ 1) \ z),u)) = K(x \ 1,T(y \ (x * z),u)). [para(13531(a,1),10459(a,1))]. 13533 K(x \ 1,T(y \ (x * ((x \ 1) * z)),u)) = K(x \ 1,T(y \ z,u)). [para(13(a,1),13532(a,1,2,1,2)),flip(a)]. 13534 K(x \ 1,T(y \ L(z,x \ 1,x),u)) = K(x \ 1,T(y \ z,u)). [para(153(a,1),13533(a,1,2,1,2))]. 13535 K(x,L(1 / y,z,y \ 1) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(3767(a,1),13387(a,1,2,1))]. 13536 L(K(x,y),z,y \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(13535(a,1),10697(a,1)),flip(a)]. 13537 L(K(x,y),z,y \ 1) = K(x,(y \ y) * T(y,1)). [para(59(a,1),13536(a,2,2,1,2))]. 13538 L(K(x,y),z,y \ 1) = K(x,1 * T(y,1)). [para(49(a,1),13537(a,2,2,1))]. 13540 L(K(x,y),z,y \ 1) = K(x,1 * y). [para(1615(a,1),13538(a,2,2,2))]. 13541 L(K(x,y),z,y \ 1) = K(x,y). [para(11(a,1),13540(a,2,2))]. 13542 ((x \ 1) * y) * K(z,x) = (x \ 1) * (y * K(z,x)). [para(13541(a,1),89(a,1,2))]. 13546 K(L(x,y,z \ 1),z) = K(x,z). [para(13541(a,1),7048(a,1)),flip(a)]. 13547 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [para(13541(a,1),7055(a,1)),flip(a)]. 13548 K((x * (((y \ 1) * x) \ z)) / x,y) = K(((y \ 1) \ z) / x,y). [para(557(a,1),13546(a,1,1))]. 13549 (x \ 1) * (y * K((z * u) / z,x)) = ((x \ 1) * y) * K(u,T(x,z)). [para(8758(a,1),13542(a,1,2)),flip(a)]. 13550 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [para(13547(a,1),11517(a,1)),flip(a)]. 13551 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [para(13550(a,2),13417(a,1))]. 13552 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [para(13551(a,1),7933(a,1)),flip(a)]. 13553 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(104(a,1),13552(a,1,1,1)),flip(a)]. 13554 K(x \ (y * T(z,x)),T(z,x)) = K(y / ((z \ 1) * x),z). [para(13552(a,1),10573(a,1))]. 13555 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [para(13552(a,1),10989(a,1)),flip(a)]. 13556 K(L(x,y,y \ 1) \ z,y) = K(x \ (y \ (z * y)),y). [para(13555(a,2),9303(a,1))]. 13557 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [para(13556(a,2),7933(a,1))]. 13558 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(13557(a,1),5679(a,1,2,1,2))]. 13559 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(13553(a,1),13415(a,1))]. 13560 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [para(13559(a,1),7872(a,2))]. 13561 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ ((y * K(z,y)) * x),x). [para(7720(a,1),13560(a,2,1,2,1))]. 13562 K(x \ ((x * y) * z),z) \ K(z * y,z) = a(x,y,K(z * y,z)). [para(13560(a,1),11058(a,1,1))]. 13563 K((x * T(y,z)) / z,y) = K(x / ((y \ 1) * z),y). [para(13554(a,1),8756(a,1)),flip(a)]. 13564 K(x / ((y \ 1) * z),y) = K(x / (y \ z),y). [para(13563(a,1),11293(a,1))]. 13565 K(x / (y \ T(z,y \ 1)),y) = K(x / (z * (y \ 1)),y). [para(104(a,1),13564(a,1,1,2)),flip(a)]. 13567 K(x / (y * (z \ 1)),z) = K(x / (z \ y),z). [para(13565(a,1),13451(a,1))]. 13568 L(K(x * y,T(x,z)),y,z) = K((z * y) / (x \ z),x). [para(13567(a,1),10476(a,2))]. 13569 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [para(13568(a,2),13016(a,1))]. 13570 L(K(x * y,T(y,z)),x,z) = K((z / (z * x)) \ y,y). [para(6116(a,2),13569(a,1,1))]. 13571 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [para(13548(a,1),8758(a,1)),flip(a)]. 13572 K(x,y \ ((y * z) * x)) * K(x * z,x) = a(y,z,K(x * z,x)). [para(13562(a,1),5336(a,1)),flip(a)]. 13573 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(18,a,11042,a,b,13572,a),flip(a)]. 13574 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(5709(a,2),13573(a,1,1))]. 13575 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,(z * (y / z)) \ (T(z,z \ y) * x)). [para(6678(a,1),13573(a,2,2,2,1))]. 13576 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(167(a,1),13574(a,2,2))]. 13577 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [para(13576(a,2),9439(a,1))]. 13579 ((x \ 1) * y) * K(z,T(x,u)) = (x \ 1) * (y * K(z,T(x,u))). [para(8758(a,1),13549(a,1,2,2)),flip(a)]. 13580 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [para(13558(a,1),5679(a,1))]. 13581 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(2628(a,1),13580(a,1,1,1))]. 13582 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(13581(a,1),6635(a,1)),flip(a)]. 13583 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [para(13582(a,2),10766(a,1))]. 13584 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [para(13583(a,1),13571(a,1))]. 13585 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [para(13584(a,1),8756(a,1))]. 13586 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [para(13585(a,2),13015(a,1))]. 13587 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(13(a,1),13586(a,1,1,1)),flip(a)]. 13588 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(15(a,1),13587(a,1,1,1)),flip(a)]. 13589 K(((x \ 1) * y) / z,x) = K(y / (z * x),x). [para(13587(a,1),13019(a,1)),flip(a)]. 13590 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [para(13588(a,1),3596(a,2))]. 13591 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [para(13590(a,1),9794(a,1)),flip(a)]. 13592 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(2766(a,2),13591(a,1,1,2))]. 13594 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [para(13592(a,1),9793(a,1)),flip(a)]. 13595 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(13594(a,1),11172(a,1)),flip(a)]. 13597 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [para(13595(a,1),12650(a,1))]. 13599 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [para(13597(a,1),6021(a,1))]. 13601 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [para(13599(a,2),7901(a,1))]. 13602 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [para(13601(a,1),12286(a,2))]. 13603 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(13602(a,1),6997(a,1,1,1))]. 13605 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [para(13603(a,1),7905(a,1))]. 13607 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(16(a,1),13605(a,1,3,2)),flip(a)]. 13608 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(13607(a,1),12705(a,2,2))]. 13609 K(L(x,y \ z,y) \ 1,u \ (x * (y \ z))) = K(x \ 1,(y * (x \ u)) \ z). [para(13390(a,1),6325(a,1)),flip(a)]. 13610 K(R(x,y / z,z) \ 1,(u / (y / z)) \ x) = K(x \ 1,y / ((x \ u) * z)). [para(13475(a,1),5955(a,1)),flip(a)]. 13611 L(K(x,x \ y),z * K(x \ y,x),y) \ (y * z) = y * (K(x \ y,x) * z). [para(7768(a,1),13480(a,1,1,2))]. 13612 K(x \ 1,R(y / (z / u),z / u,u) \ x) = K(x \ 1,z / ((x \ y) * u)). [para(13610(a,1),13133(a,1)),flip(a)]. 13613 L(K(x,x \ y),z,y) \ (y * z) = y * (K(x \ y,x) * z). [para(11036(a,1),13611(a,1,1))]. 13614 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(13613(a,1),10731(a,1)),flip(a)]. 13616 K(x \ 1,y / ((x \ z) * u)) = K(x \ 1,((z * u) / y) \ x). [para(343(a,1),13612(a,1,2,1)),flip(a)]. 13617 K(x \ 1,T(y \ ((x \ 1) * z),u)) = K(x \ 1,T((x * y) \ z,u)). [para(13457(a,1),13534(a,1))]. 13618 K(x \ 1,T(y \ ((x \ 1) * z),u)) = K(x \ 1,T(y \ (x \ z),u)). [para(13617(a,2),13384(a,1))]. 13619 K((x \ 1) \ 1,T(y \ ((x \ 1) \ z),K(x,u))) = K(x,y \ (z * x)). [para(13618(a,1),12078(a,1))]. 13620 K(x,T(y \ ((x \ 1) \ z),K(x,u))) = K(x,y \ (z * x)). [para(13619(a,1),3074(a,1)),flip(a)]. 13621 K(x,y \ ((x \ 1) \ z)) = K(x,y \ (z * x)). [para(1613(a,1),13620(a,1,2))]. 13622 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [para(13621(a,1),13395(a,2))]. 13623 K(x,((x \ 1) \ y) \ (z * x)) = K(x,y \ z). [para(14(a,1),13622(a,1,2,1)),flip(a)]. 13624 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [para(13622(a,1),9960(a,1))]. 13625 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [para(13622(a,1),13490(a,1)),flip(a)]. 13626 K(x,y \ ((x \ 1) * (z * x))) = K(x,y \ z). [para(13623(a,1),13391(a,1)),flip(a)]. 13627 K(x,(y * (x \ 1)) \ 1) = K(x,y \ x). [para(11(a,1),13625(a,2,2,2))]. 13628 x * (y \ ((y * (y * (x \ 1))) / y)) = K(y,x \ y). [para(13627(a,1),6098(a,2))]. 13629 K(x,y \ ((x \ 1) * z)) = K(x,y \ (x \ z)). [para(13626(a,1),11711(a,1)),flip(a)]. 13630 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,y \ (x * z)). [para(59(a,1),13629(a,1,2,2,1)),flip(a)]. 13631 K(x \ 1,y \ ((x \ 1) \ z)) = K(x \ 1,y \ (x * z)). [para(13629(a,1),7261(a,1))]. 13632 K(T(x,y),z \ (T(x,y) \ y)) = K(x,((x \ 1) * y) / z). [para(13629(a,1),11083(a,1))]. 13633 K(x,y \ x) / (x \ ((x * (x * (y \ 1))) / x)) = y. [hyper(74,a,13628,a)]. 13634 K(x,((x \ (x \ (y * x))) \ 1) \ x) / (x \ (((x * (((x \ y) \ 1) \ 1)) * x) / x)) = (x \ (x \ (y * x))) \ 1. [para(11377(a,1),13633(a,1,2,2,1))]. 13635 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [para(13624(a,1),8757(a,1)),flip(a)]. 13636 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [para(13635(a,1),11200(a,1))]. 13637 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [para(13636(a,1),8764(a,1))]. 13639 K(1 / x,y \ (x * z)) = K(x \ 1,(z \ y) \ x). [para(13630(a,1),11188(a,1))]. 13640 K(x \ 1,(y \ z) \ x) = K(x \ 1,z \ (x * y)). [para(13639(a,1),3073(a,1))]. 13641 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ (x * u)),y,z). [para(13631(a,1),11178(a,2,1))]. 13642 K(T(x,y),z \ (x \ y)) = K(x,((x \ 1) * y) / z). [para(13632(a,1),11311(a,1)),flip(a)]. 13643 K(x,((x \ 1) * y) / z) = K(x,y / (z * x)). [para(13642(a,1),11204(a,1))]. 13645 K(x,(y * z) / (((x \ 1) * z) * x)) = K(x,L(y,z,x \ 1)). [para(13643(a,1),9998(a,1))]. 13646 K(x,(y * z) / L(z,x \ 1,x)) = K(x,L(y,z,x \ 1)). [para(13645(a,1),9369(a,1)),flip(a)]. 13647 K(x,(y * z) / L(z,x \ 1,x)) = K(x,y). [para(13646(a,2),13394(a,1))]. 13648 K(x,y / L(z,x \ 1,x)) = K(x,y / z). [para(16(a,1),13647(a,1,2,1))]. 13650 K(x,y / (((x \ 1) * z) * x)) = K(x,y / z). [para(13648(a,1),9369(a,2))]. 13651 K(x,y / ((x \ 1) \ z)) = K(x,y / (z * x)). [para(14(a,1),13650(a,1,2,2,1)),flip(a)]. 13652 R(K(x,(y / z) / (u * x)),y / z,z) = K(x,y / (((x \ 1) \ u) * z)). [para(13651(a,1),6966(a,1,1))]. 13653 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [para(13637(a,2),3078(a,1))]. 13654 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [para(13653(a,1),11752(a,1)),flip(a)]. 13655 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(13654(a,2),8240(a,2))]. 13656 K(x,y / (((x \ 1) \ z) * u)) = K(x,y / ((z * x) * u)). [para(13652(a,1),6966(a,1))]. 13657 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((x \ z) * u)). [para(13656(a,1),7257(a,1))]. 13658 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(10780(a,1),13655(a,1,1))]. 13659 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(14(a,1),13658(a,2,2,1,2,1))]. 13661 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [para(13659(a,2),7241(a,2))]. 13662 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [para(13661(a,1),5200(a,2,2))]. 13663 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = K(L(x,y,z) \ 1,w \ (x * u)). [para(13641(a,2),6325(a,1))]. 13664 K(L(x,y,z) \ 1,(u \ w) \ x) = K(L(x,y,z) \ 1,w \ (x * u)). [para(13663(a,1),7226(a,1)),flip(a)]. 13665 K(L(x,y,z) \ 1,u \ (x * w)) = K(x \ 1,L(w \ u,y,z) \ x). [para(13664(a,1),13228(a,1))]. 13666 K(x \ 1,L((y \ z) \ u,y \ z,y) \ x) = K(x \ 1,(y * (x \ u)) \ z). [para(13665(a,1),13609(a,1))]. 13667 K(x \ 1,(y \ (z * u)) \ x) = K(x \ 1,(z * (x \ u)) \ y). [para(316(a,1),13666(a,1,2,1))]. 13668 K(x \ 1,(y * (x \ z)) \ u) = K(x \ 1,(y * z) \ (x * u)). [para(13667(a,1),13640(a,1))]. 13669 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [para(13608(a,2),734(a,1))]. 13670 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [para(13669(a,2),1561(a,1))]. 13671 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(9820(a,1),13670(a,2,1,2))]. 13672 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ (y * (K(z,y) * x)),x). [para(4650(a,1),13561(a,2,1,2))]. 13673 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,L((z \ y) \ x,y / z,z)). [para(4741(a,1),13575(a,2,2))]. 13674 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,y \ (z * x)). [para(13673(a,2),11020(a,1))]. 13675 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(L(z \ x,T(z,y),y),x). [para(5519(a,1),13672(a,2,1))]. 13676 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(z \ x,x). [para(13675(a,2),9441(a,1))]. 13678 ((x \ y) * x) * T(x \ 1,z) = T(y * T(x \ 1,z),x). [para(14(a,1),13499(a,1,1)),flip(a)]. 13679 (x \ (T(x \ 1,y) \ z)) * x = T(x \ 1,y) \ T(z,x). [hyper(18,a,4977,a(flip),b,13678,a)]. 13681 x / (y * (T(z \ 1,u) * (T(z \ 1,u) \ T(y \ x,z)))) = K(z,x / (y * ((1 / z) \ T(z \ 1,u)))). [para(13679(a,1),6869(a,1,2,2,2))]. 13682 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5830(a,1),13456(a,1,2))]. 13683 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(9134(a,1),13682(a,1,2))]. 13684 K((x / L(y,z,u)) \ K(L(y,z,u),w),T(y,v5)) = K(x \ T(L(y,z,u),w),(v5 * y) / v5). [para(13488(a,1),8562(a,1)),flip(a)]. 13685 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K((x / L(y,z,u)) \ 1,T(y,v5)). [para(13684(a,1),10726(a,1))]. 13686 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K(L(y,z,u) / x,T(y,v5)). [para(13685(a,2),5830(a,1))]. 13688 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K(x \ L(y,z,u),T(y,v5)). [para(13686(a,2),8900(a,1))]. 13689 K(x \ L(T(y,z),u,w),(v5 * y) / v5) = K(x \ L(y,u,w),T(y,v5)). [para(40(a,2),13688(a,1,1,2))]. 13690 K(x \ L(T(y,z),u,w),T(y,v5)) = K(x \ L(y,u,w),T(y,v5)). [para(13689(a,1),8562(a,1)),flip(a)]. 13691 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(z,u,w),T(z,x * y)). [para(13690(a,1),12322(a,2))]. 13692 (x * K(y,z)) \ (R(y,u,y) * ((y \ x) * K(y,z))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(104(a,1),13465(a,1,2,2))]. 13693 (x * K(y,z)) \ ((x / y) * R(T(y,z),u,y)) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(9850(a,1),13692(a,1,2))]. 13694 L(a(x,y,x),T(z,K(x,u)),K(x,u)) = a(x,y,x). [para(13693(a,1),13091(a,1))]. 13695 L(a(x,y,x),z,K(x,u)) = a(x,y,x). [para(126(a,1),13694(a,1,2))]. 13697 x \ (K(y,z) \ ((a(y,u,y) * K(y,z)) * x)) = R(T(a(y,u,y),K(y,z) * x),K(y,z),x). [para(13695(a,1),764(a,1,2,2,1,1))]. 13699 x \ (K(y,z) \ (K(y,z) * (a(y,u,y) * x))) = R(T(a(y,u,y),K(y,z) * x),K(y,z),x). [para(12421(a,1),13697(a,1,2,2))]. 13701 R(T(a(x,y,x),K(x,z) * u),K(x,z),u) = u \ (a(x,y,x) * u). [para(13(a,1),13699(a,1,2)),flip(a)]. 13704 R(T(a(x,y,x),z),K(x,u),w) = w \ (a(x,y,x) * w). [para(12703(a,1),13701(a,1,1))]. 13706 R(T(a(x,y,x),z),K(x,u),w) = T(a(x,y,x),w). [para(13704(a,2),32(a,2)),flip(a)]. 13707 R(T(a(x,y,x),z),K(x,u),w) = a(x,y,x). [para(13706(a,2),12695(a,1))]. 13709 R(a(x,y,x),K(x,z),u) = a(x,y,x). [para(103(a,1),13707(a,1,1))]. 13710 K(x,y / (z * ((1 / x) \ T(x \ 1,u)))) = y / (z * T(z \ y,x)). [para(14(a,1),13681(a,1,2,2)),flip(a)]. 13712 K(x,y / (z * ((1 / x) \ T(x \ 1,u)))) = K(x,y / z). [para(13710(a,2),5733(a,1))]. 13713 K(x,y / (z * (T(x \ 1,u) * x))) = K(x,y / z). [para(6110(a,1),13712(a,1,2,2,2))]. 13714 K(x,y / (z * K(x \ 1,u))) = K(x,y / z). [para(13713(a,1),7260(a,1)),flip(a)]. 13715 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / (((x \ 1) \ z) * u)). [para(8030(a,1),13714(a,1,2,2))]. 13716 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [para(13715(a,2),13656(a,1))]. 13717 K((x \ 1) \ 1,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [para(13716(a,1),3074(a,2))]. 13718 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((z / x) * u)). [para(13716(a,1),7277(a,1))]. 13719 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,y / ((x \ z) * u)). [para(13718(a,1),13657(a,1))]. 13720 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,((z * u) / y) \ x). [para(13719(a,2),13616(a,1))]. 13721 K((x \ 1) \ 1,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [para(13720(a,1),13717(a,1))]. 13722 K(x,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [para(13721(a,1),3074(a,1)),flip(a)]. 13723 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [para(13722(a,1),9372(a,1)),flip(a)]. 13724 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(104(a,1),13723(a,1,2,2)),flip(a)]. 13725 K(x,R(y / (z * u),z * u,x)) = K(x,(y * x) / ((z * x) * u)). [para(101(a,2),13723(a,1,2))]. 13726 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [para(13723(a,1),9366(a,1))]. 13727 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [para(13726(a,1),9575(a,1)),flip(a)]. 13728 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [para(13726(a,1),12561(a,1))]. 13729 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(13727(a,1),5200(a,2,2)),flip(a)]. 13730 (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). [para(13727(a,1),5589(a,1,2,2))]. 13731 K(x,(y * x) / ((z * x) * u)) = K(x,y / (z * u)). [para(13725(a,1),7508(a,1))]. 13733 K(x,(((y * x) * z) / u) \ x) = K(x,u / (y * z)). [para(13731(a,1),11749(a,1)),flip(a)]. 13734 K(x,y / ((1 / x) * z)) = K(x,(z / y) \ x). [para(58(a,1),13733(a,1,2,1,1)),flip(a)]. 13735 K(x,y / ((1 / x) * (z * x))) = K(x,y / z). [para(13734(a,2),11759(a,1))]. 13736 K(x,y / ((1 / x) * (x / z))) = K(x,y / (z \ 1)). [para(13735(a,1),7276(a,1)),flip(a)]. 13737 K(x,((x / y) / z) \ x) = K(x,z / (y \ 1)). [para(13736(a,1),13734(a,1)),flip(a)]. 13738 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,z / (((y \ 1) * x) \ 1)). [para(261(a,2),13737(a,1,2,1,1))]. 13739 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(14(a,1),13728(a,1,2,2,2)),flip(a)]. 13740 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(30(a,2),13739(a,2,2))]. 13742 L(T(K(x,y),z),u,y * x) = T(K(x,R(y,x,u)),z). [para(13740(a,1),40(a,2,1))]. 13743 K(((x / y) * (z * y)) \ (x * (z * y)),z) = K(y,R(z,y,T(x,z * y))). [para(13740(a,1),10436(a,2))]. 13744 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [para(13740(a,1),12554(a,2))]. 13745 K(x,R(x \ y,x,T(z,y))) = R(K(x,x \ y),z,y). [para(13740(a,1),12558(a,1))]. 13746 L(K(x,x \ y),z,y) = K(x,R(x \ y,x,z)). [para(13740(a,1),12616(a,1)),flip(a)]. 13747 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(13744(a,1),337(a,1,1))]. 13748 R(K(x,x \ y),y,z) = L(K(x,x \ y),z,y). [para(13746(a,2),8240(a,2))]. 13749 L(T(K(x,y),z),u,y * x) = K(x,T(R(y,x,u),z)). [para(13742(a,2),7973(a,2)),flip(a)]. 13750 R(K(x,x \ y),z,y) = R(K(x,x \ y),y,z). [para(13745(a,1),13132(a,1))]. 13751 R(K(x,x \ y),z,y) = L(K(x,x \ y),z,y). [para(13750(a,2),13748(a,1))]. 13752 (x * y) * L(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(13751(a,1),11833(a,1,2))]. 13753 L(T(K(x,y),z),u,y * x) = K(x,R(T(y,z),x,u)). [para(42(a,2),13749(a,2,2))]. 13754 L(K(x,T(y,z)),u,y * x) = K(x,R(T(y,z),x,u)). [para(7973(a,2),13753(a,1,1))]. 13755 L(K(x \ y,T(x,z)),u,x * (x \ y)) = R(K(x \ y,T(x,z)),y,u). [para(13754(a,2),8097(a,1))]. 13756 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [para(13747(a,1),6795(a,1))]. 13757 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(5278(a,1),13756(a,2,1))]. 13758 (x * y) * (K(y,x) * z) = (y * x) * z. [para(13757(a,1),9721(a,1)),flip(a)]. 13759 L(x,K(y,z),z * y) = x. [hyper(527,a,13758,a)]. 13761 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [para(14(a,1),13758(a,1,1))]. 13762 (x * K(y,z)) * (K(x,K(y,z)) * u) = (K(y,z) * x) * u. [para(8475(a,1),13758(a,1,2,1))]. 13763 L(x,K(y \ z,y),z) = x. [para(14(a,1),13759(a,1,3))]. 13764 L(x,K(y,y \ z),z) = x. [para(5323(a,1),13763(a,1,2))]. 13765 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [para(13764(a,1),6355(a,1)),flip(a)]. 13766 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [hyper(17,a,10631,a,b,13761,a),flip(a)]. 13767 L(K(x \ y,x),z,y) * (y * z) = ((x \ y) * x) * z. [para(13761(a,1),13614(a,2))]. 13768 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(14(a,1),13765(a,1,2)),flip(a)]. 13769 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(13(a,1),13766(a,1,2)),flip(a)]. 13770 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(13768(a,1),13761(a,1,2)),flip(a)]. 13772 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [para(13770(a,1),13766(a,1))]. 13773 x \ (K(y \ x,y) * z) = (y * (x / y)) \ z. [hyper(68,a,13772,a)]. 13774 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(17,a,5352,a(flip),b,13772,a)]. 13775 (x * (y / x)) \ (T(x,x * (x \ y)) * z) = y \ (L(x,x \ y,x) * z). [para(5645(a,1),13773(a,1,2)),flip(a)]. 13776 L(x,y,K(z,z \ y)) = x. [para(13774(a,1),5562(a,1)),flip(a)]. 13777 L(x,y * z,K(z,y)) = x. [para(7006(a,1),13776(a,1,3))]. 13778 L(x,y,z * K(y,z)) = L(x,y,z). [para(13777(a,1),4786(a,1)),flip(a)]. 13782 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [para(13778(a,1),6145(a,2)),flip(a)]. 13784 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [para(13782(a,2),57(a,1,2))]. 13785 L(K(x \ y,x),z,y) = K(x \ y,x). [hyper(18,a,13769,a,b,13767,a)]. 13787 (x * K(y,z)) \ ((K(y,z) * x) * u) = K(x,K(y,z)) * u. [hyper(68,a,13762,a)]. 13788 K(x,K(y,z)) * ((K(y,z) * x) \ u) = (x * K(y,z)) \ u. [para(14(a,1),13787(a,1,2)),flip(a)]. 13789 K(x,K(y,z)) * ((x * K(y,z)) \ u) = (K(y,z) * x) \ u. [hyper(8494,a,13788,a)]. 13790 K(x,K(y,z)) * ((z * K(x,y)) \ u) = (K(x,y) * z) \ u. [para(8449(a,2),13789(a,1,1))]. 13791 K(x,y * ((K(x,z) * u) \ w)) = K(x,y * ((u * K(x,z)) \ w)). [para(13790(a,1),8665(a,1,2,2))]. 13792 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (K(z,x) / u)). [para(13791(a,2),11879(a,1))]. 13793 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (u \ 1)). [para(13792(a,2),11985(a,1))]. 13795 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(13793(a,1),12521(a,2))]. 13796 K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). [para(13730(a,1),5589(a,1))]. 13797 K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). [para(13796(a,1),7064(a,1))]. 13798 K((x \ y) / (z * y),z) = K(x \ (z \ 1),z). [para(14(a,1),13797(a,1,1,2,2))]. 13799 K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). [para(13797(a,1),9358(a,2))]. 13800 K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). [para(6003(a,1),13798(a,1,1,1))]. 13801 K((x / y) \ (z \ 1),z) = K(y / (x * z),z). [para(16(a,1),13799(a,1,1,2,1)),flip(a)]. 13802 R(K(x \ y,T(x,z)),y,u) = L(K(x \ y,T(x,z)),u,y). [para(14(a,1),13755(a,1,3)),flip(a)]. 13803 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = R(K(x \ y,x),y,u). [para(13802(a,1),13283(a,1,2))]. 13804 K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). [para(13800(a,2),13801(a,1))]. 13805 K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). [para(13804(a,1),5918(a,2))]. 13806 R(K(x \ y,x),y,z) = L(K(x \ y,x),z,y). [para(13803(a,1),12612(a,1))]. 13807 R(K(x \ y,x),y,z) = K(x \ y,x). [para(13806(a,2),13785(a,1))]. 13808 K(R(x \ y,x,z),x) = K(x \ y,x). [para(13807(a,1),10397(a,1)),flip(a)]. 13810 K(R(x,y,z),y) = K(y \ (y * x),y). [para(13(a,1),13808(a,1,1,1))]. 13811 K(x / (y * z),z) = K(z \ (x / y),z). [para(13808(a,1),13805(a,1)),flip(a)]. 13812 K(R(x,y,z),y) = K(x,y). [para(13(a,1),13810(a,2,1))]. 13814 K(R(x,y,z),y) = K(R(x,y,u),y). [para(13810(a,2),13810(a,2))]. 13817 K(x,R(y,x,z)) = K(x,y). [para(13812(a,1),9873(a,1)),flip(a)]. 13819 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(13812(a,1),9876(a,1)),flip(a)]. 13820 K(R(x,y,z),T(y,u)) = K(x,T(y,u)). [para(13812(a,1),12530(a,1)),flip(a)]. 13822 K(x,y / (z * x)) = K(x,x \ (y / z)). [para(13817(a,1),9824(a,1)),flip(a)]. 13823 (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(13817(a,1),13165(a,1,2,2))]. 13824 L(K(x,x \ y),z,y) = K(x,x \ y). [para(13817(a,1),13746(a,2))]. 13829 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(13814(a,1),9877(a,1,2)),flip(a)]. 13837 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [para(13820(a,1),12129(a,2))]. 13838 (x * K(y,y \ z)) * z = (x * z) * K(y,y \ z). [para(13824(a,1),13752(a,1,2)),flip(a)]. 13840 K((x \ y) / z,x) = K(x \ (y / z),x). [para(13811(a,1),11212(a,2))]. 13841 K((T(x,y) \ z) / u,x) = K(x \ (z / u),x). [para(13811(a,1),11235(a,2))]. 13842 K(((x \ 1) * y) / z,x) = K(x \ (y / z),x). [para(13811(a,1),13589(a,2))]. 13843 K(x \ (y / (z * y)),x) = K(z \ (x \ 1),x). [para(13811(a,1),13799(a,1))]. 13844 K(x,y / (x * z)) = K(x,x \ (y / z)). [para(13822(a,1),9366(a,1)),flip(a)]. 13845 K(x,(x \ y) / z) = K(x,x \ (y / z)). [para(13822(a,1),11201(a,2))]. 13846 K(x,L(T(x \ y,z),x,z)) = K(x,x \ ((z * y) / z)). [para(13822(a,1),11211(a,2))]. 13848 T(x,R(y,x,z)) = T(x,y). [para(13829(a,2),7533(a,1))]. 13849 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(351(a,1),13848(a,1,2))]. 13853 T(x,y) \ R(T(x,y),y,z) = x \ R(x,y,z). [para(13848(a,1),9880(a,1,1))]. 13854 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(13840(a,1),8846(a,1,1))]. 13855 K(x \ y,((y / x) \ z) / u) = K(x \ y,(x \ y) \ (z / u)). [para(13844(a,1),11492(a,2))]. 13856 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(13844(a,1),13729(a,1,2))]. 13857 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(13(a,1),13845(a,1,2,1)),flip(a)]. 13858 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(13819(a,1),6972(a,2))]. 13860 K((T(x,y) \ z) / u,R(x,w,v5)) = R(x,w,v5) \ R(x * K(x \ (z / u),x),w,v5). [para(13841(a,1),5781(a,1,2,1,2)),flip(a)]. 13861 (T(x * K(x \ (y / z),x),u) * w) / (T(x,u) * w) = K(((x \ 1) * y) / z,T(x,u)). [para(13842(a,1),6103(a,1,1,1,1,2))]. 13862 K(x \ (y / (z * y)),T(x,u)) = K(u,K(x,z)) * K(z \ (x \ 1),x). [para(13843(a,1),10213(a,1,2)),flip(a)]. 13863 T(x * K(y,x),y) \ R(T(x * K(y,x),y),y,z) = (x * K(y,x)) \ (((y * x) * z) / (y * z)). [para(5366(a,1),13853(a,2,2))]. 13866 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7979,a,13854,a)]. 13867 K(x \ (y \ (z * x)),y) = K(y \ z,T(y,x)). [para(15(a,1),13866(a,1,1,2)),flip(a)]. 13868 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [para(13866(a,1),11677(a,1)),flip(a)]. 13869 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(13868(a,1),7769(a,1,1,2)),flip(a)]. 13870 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [para(13856(a,1),5200(a,2)),flip(a)]. 13871 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [para(13869(a,2),5351(a,1))]. 13872 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [para(13871(a,1),8800(a,1)),flip(a)]. 13873 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(57(a,1),13872(a,1,2,1,2)),flip(a)]. 13874 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [para(13873(a,1),9311(a,2))]. 13875 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(13817(a,1),13858(a,1,1))]. 13877 K(x \ y,(x \ y) \ (y / z)) = K(x \ y,x / z). [para(59(a,1),13855(a,1,2,1)),flip(a)]. 13878 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,(y \ x) \ ((x * z) / x)). [para(13855(a,1),9314(a,2))]. 13879 K(x \ (y / (z * y)),T(x,u)) = K(z \ (x \ 1),T(x,u)). [para(13862(a,2),11704(a,1))]. 13881 K(((x / y) * (z * y)) \ (x * (z * y)),z) = K(y,z). [para(13743(a,2),13817(a,1))]. 13882 K(x,((y / z) * (z * x)) \ (y * (z * x))) = K(x,z). [para(13881(a,1),10007(a,1)),flip(a)]. 13884 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * (y * (((x \ 1) \ y) / y)))) = K(((x \ 1) \ y) / y,y). [para(3995(a,2),13882(a,1,2,1,2))]. 13885 (x * (y / x)) \ (T(x,y) * z) = y \ (L(x,x \ y,x) * z). [para(14(a,1),13775(a,1,2,1,2))]. 13886 x \ (L(y,y \ x,y) * ((x / y) * L(K(x,y),z,u))) = a(u,z,K(y,x)). [para(13885(a,1),11370(a,1))]. 13887 x \ (T(y,x) * ((y \ x) * L(K(x,y),z,u))) = a(u,z,K(y,x)). [para(12922(a,1),13886(a,1,2))]. 13888 T(x,y) * ((x \ y) * L(K(y,x),z,u)) = y * a(u,z,K(x,y)). [para(13887(a,1),14(a,1,2)),flip(a)]. 13889 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [para(13849(a,1),42(a,2))]. 13890 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4843(a,1),13874(a,2,2))]. 13891 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [para(13889(a,2),4285(a,1))]. 13892 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [para(13890(a,2),11145(a,1))]. 13893 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [para(13892(a,2),10153(a,1))]. 13894 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(13891(a,2),42(a,2)),flip(a)]. 13895 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(13870(a,1),13894(a,1,1))]. 13896 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(15(a,1),13895(a,1,1,2,2)),flip(a)]. 13897 x / R(T(y,y \ x),z,u) = R(y,z,u) \ x. [para(13896(a,1),214(a,1,2))]. 13898 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(13896(a,1),5620(a,1,2,1))]. 13900 x / R(y \ x,z,u) = R(x / y,z,u) \ x. [para(196(a,1),13897(a,1,2,1))]. 13902 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(13900(a,1),59(a,1,1))]. 13903 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [para(57(a,1),13902(a,1,1,1,1)),flip(a)]. 13904 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(13902(a,1),9720(a,1,2,1)),flip(a)]. 13906 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5779(a,1),13903(a,2,1))]. 13907 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [para(13898(a,1),5620(a,1))]. 13910 K(x \ (R(x,y,z) / u),R(x,y,z)) = K(u \ 1,R(x,y,z)). [para(13907(a,1),5173(a,1))]. 13911 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(13907(a,1),5121(a,1,1,2))]. 13912 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,x * y). [para(6700(a,1),13823(a,2,2))]. 13914 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [para(9589(a,1),13912(a,1,2))]. 13915 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(13274(a,2),13914(a,1,1))]. 13916 K((T(x,y) \ z) / u,R(x,w,v5)) = K(x \ (z / u),R(x,w,v5)). [para(13860(a,2),5781(a,1))]. 13917 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(y \ (R(y,u,w) / x),R(y,u,w)). [para(13916(a,1),10360(a,1)),flip(a)]. 13918 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(x \ 1,R(y,u,w)). [para(13917(a,2),13910(a,1))]. 13920 K((T(x,y) \ z) \ 1,R(x,u,w)) = K(z \ R(x,u,w),R(x,u,w)). [para(13918(a,1),12073(a,1))]. 13921 K(x \ R(y,z,u),R(y,z,u)) = K(x \ y,R(y,z,u)). [para(13920(a,1),6653(a,1))]. 13923 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(T(x,w) \ y,R(y,z,u)). [para(13921(a,1),12994(a,1)),flip(a)]. 13924 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(x \ y,R(T(y,w),z,u)). [para(13923(a,2),13005(a,1))]. 13925 K(x \ R(y,z,u),R(T(y,w),z,u)) = K(x \ y,R(T(y,w),z,u)). [para(42(a,2),13924(a,1,2))]. 13926 K(x * R(y,z,u),R(T(y,w),z,u)) = K((x \ 1) \ y,R(T(y,w),z,u)). [para(13925(a,1),6994(a,1)),flip(a)]. 13927 K(x * R(y,z,u),R(T(y,w),z,u)) = K(x * y,R(T(y,w),z,u)). [para(13926(a,2),11924(a,1))]. 13928 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(T(y,K(x,w)),z,u)). [para(13927(a,1),9184(a,1)),flip(a)]. 13929 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [para(1613(a,1),13928(a,2,2,1))]. 13930 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(13929(a,1),8325(a,1,1,2))]. 13931 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [para(13724(a,2),8800(a,1))]. 13932 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(154(a,1),13795(a,2,2))]. 13934 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y,u,u \ 1)). [para(13932(a,2),12512(a,1))]. 13935 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,R(y,z,z \ 1)). [para(13934(a,1),9404(a,1)),flip(a)]. 13938 K(((x \ 1) * y) / z,T(x,u)) = K(x \ (y / z),T(x,u)). [para(13861(a,1),6103(a,1))]. 13939 K(x \ (y / (((x \ 1) / z) * y)),T(x,u)) = R(K(z,T(T(x,u),x \ 1)),x \ 1,y). [para(13938(a,1),8929(a,1))]. 13940 R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(((y \ 1) / x) \ (y \ 1),T(y,z)). [para(13939(a,1),13879(a,1))]. 13941 R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(x,T(y,z)). [para(59(a,1),13940(a,2,1))]. 13943 R(K(x,T(y,z)),y \ 1,u) = K(x,T(y,z)). [para(3612(a,1),13941(a,1,1))]. 13944 ((x \ 1) * y) * K(z,T(x,y)) = (T(x,z) \ 1) * y. [para(13943(a,1),10601(a,1,2))]. 13945 (x \ 1) * (y * K(z,T(x,y))) = (T(x,z) \ 1) * y. [para(13944(a,1),13579(a,1)),flip(a)]. 13947 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(7967(a,1),13945(a,1,2))]. 13948 (T(x,y) \ 1) * (T(x,y) * z) = (x \ 1) * (x * z). [para(5178(a,1),13947(a,1,2)),flip(a)]. 13949 K(x,y) * ((y \ 1) * z) = (T(y,x) \ 1) * z. [para(13947(a,1),6300(a,2))]. 13950 L(x,y \ 1,K(z,y)) = x. [hyper(5622,a,13949,a)]. 13952 ((x \ y) \ 1) * (T(y / x,x) * z) = ((y / x) \ 1) * ((y / x) * z). [para(106(a,1),13948(a,1,1,1))]. 13953 ((x / y) \ 1) * ((x / y) * z) = ((y \ x) \ 1) * ((y \ x) * z). [para(106(a,1),13952(a,1,2,1)),flip(a)]. 13954 ((x \ y) \ 1) * ((x \ y) * x) = ((y / x) \ 1) * y. [para(16(a,1),13953(a,1,2)),flip(a)]. 13955 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [para(13906(a,2),6383(a,1))]. 13956 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(6381(a,1),13955(a,1,1)),flip(a)]. 13957 (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(13956(a,1),13057(a,1,2))]. 13958 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(5767(a,1),13911(a,1,1))]. 13959 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(13958(a,1),42(a,2))]. 13960 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(5121(a,1),13959(a,1,1)),flip(a)]. 13961 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [para(13960(a,2),44(a,1))]. 13962 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(13961(a,1),1550(a,1,1,1)),flip(a)]. 13963 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(5767(a,1),13930(a,1,1))]. 13964 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(5920(a,1),13963(a,1,1,1,2))]. 13965 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(13964(a,1),42(a,2))]. 13966 R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)) = R(R(x,u,x),y,z). [para(5673(a,1),13965(a,1,1)),flip(a)]. 13967 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [para(13931(a,2),10810(a,1))]. 13968 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [para(13967(a,1),8800(a,1)),flip(a)]. 13969 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [para(13968(a,1),10461(a,1)),flip(a)]. 13971 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [para(13969(a,1),12097(a,1)),flip(a)]. 13972 K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). [para(109(a,1),13971(a,2,2))]. 13975 K(x,(y * (z / u)) \ (x \ ((y * x) * z))) = L(K(x,u),z,y * x). [para(13971(a,1),10738(a,1))]. 13976 K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). [para(13972(a,1),13528(a,1)),flip(a)]. 13977 K(x,a(x,y,y \ 1) \ z) = K(x,z). [para(13(a,1),13976(a,2,2))]. 13979 K(x,y \ R(x,z,z \ 1)) = K(x,y \ x). [para(13977(a,1),11826(a,1))]. 13980 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). [para(13979(a,1),11690(a,2))]. 13982 R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(13980(a,1),8102(a,1)),flip(a)]. 13984 R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(13182(a,1),13982(a,1,1))]. 13985 R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(9022(a,1),13984(a,1,1,2))]. 13986 K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). [para(7971(a,1),13985(a,1,1)),flip(a)]. 13988 K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [para(13986(a,2),10396(a,1))]. 13989 K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [para(355(a,1),13988(a,1,2,1,1)),flip(a)]. 13990 R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [para(13989(a,1),6970(a,1)),flip(a)]. 13991 K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [para(13990(a,1),7597(a,1))]. 13993 K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). [para(13991(a,1),13971(a,1)),flip(a)]. 13994 K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). [para(49(a,1),13993(a,1,2,2))]. 13996 R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). [para(13994(a,1),6978(a,1)),flip(a)]. 13997 R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). [para(13996(a,2),5332(a,1,1))]. 13998 R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). [para(13997(a,1),6953(a,1)),flip(a)]. 13999 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(154(a,2),13998(a,2,2)),flip(a)]. 14000 (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(T(x * K(y,x),y),y,z). [para(5171(a,1),13863(a,1,1)),flip(a)]. 14001 (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(x,y,z). [para(5171(a,1),14000(a,2,2,1))]. 14002 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(4586(a,1),13957(a,1,2,1)),flip(a)]. 14003 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(13962(a,2),1550(a,1))]. 14004 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),14003(a,2,3))]. 14005 K(x,((x \ T(y,x)) \ 1) \ x) / (x \ (((x * (((x \ y) \ 1) \ 1)) * x) / x)) = (x \ (x \ (y * x))) \ 1. [para(32(a,2),13634(a,1,1,2,1,1,2))]. 14006 K(x,1 \ ((x \ T(y,x)) * x)) / (x \ (((x * (((x \ y) \ 1) \ 1)) * x) / x)) = (x \ (x \ (y * x))) \ 1. [para(10849(a,1),14005(a,1,1))]. 14007 K(x,1 \ T((x \ y) * x,x)) / (x \ (((x * (((x \ y) \ 1) \ 1)) * x) / x)) = (x \ (x \ (y * x))) \ 1. [para(1831(a,2),14006(a,1,1,2,2))]. 14008 K(x,T((x \ y) * x,x)) / (x \ (((x * (((x \ y) \ 1) \ 1)) * x) / x)) = (x \ (x \ (y * x))) \ 1. [para(48(a,1),14007(a,1,1,2))]. 14009 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * ((x \ 1) \ y))) = K(((x \ 1) \ y) / y,y). [para(13884(a,1),11712(a,1)),flip(a)]. 14010 K((x \ 1) \ 1,((y / z) * ((x \ 1) \ T(z,x))) \ (y * ((x \ 1) \ z))) = K(((x \ 1) \ z) / z,z). [para(14009(a,1),5834(a,1)),flip(a)]. 14012 K((x \ 1) \ 1,((y / z) * T(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [para(14010(a,1),13668(a,1)),flip(a)]. 14013 K((x \ 1) \ 1,(y * K(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [para(6410(a,1),14012(a,1,2,1))]. 14014 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ ((x \ 1) * (z * ((x \ 1) \ y)))). [para(14013(a,1),3074(a,1))]. 14015 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ (x \ (z * ((x \ 1) \ y)))). [para(14014(a,2),13629(a,1))]. 14016 K(((x \ 1) \ y) / y,y) = K(x,z \ (x \ (z * ((x \ 1) \ y)))). [para(14015(a,2),8076(a,1))]. 14018 K(((x \ 1) \ y) / y,y) = K(x,L(y,x,z)). [para(14016(a,2),9313(a,1))]. 14019 K(x,L(y,x,z)) = K(x,y). [para(14018(a,1),5837(a,1))]. 14021 L(x,y,z) * (K(y,L(x,y,z)) * u) = (L(x,y,z) * K(y,x)) * u. [para(14019(a,1),4650(a,1,1,2)),flip(a)]. 14026 K(x,y \ (x \ (y * z))) = K(x,x \ z). [para(14019(a,1),9309(a,1)),flip(a)]. 14027 K(L(x,y,z),y) = K(x,y). [para(14019(a,1),10776(a,2))]. 14029 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [para(14019(a,1),11284(a,1)),flip(a)]. 14030 K(x,x \ ((y * z) / y)) = K(x,T(x \ z,y)). [para(14019(a,1),13846(a,1)),flip(a)]. 14031 K(x,x \ T(y,z)) = K(x,T(x \ y,z)). [para(14019(a,1),13893(a,1))]. 14034 K((x / y) \ (z \ x),z) = K(z \ y,z). [para(14027(a,1),9304(a,1)),flip(a)]. 14038 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(14026(a,1),10917(a,1,2))]. 14042 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [para(14031(a,1),4987(a,2))]. 14043 x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). [para(14031(a,1),5200(a,2,2)),flip(a)]. 14044 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [para(14031(a,1),9951(a,2))]. 14046 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(57(a,1),14034(a,1,1,1))]. 14052 K(x,T(x \ (y \ z),y)) = K(x,x \ (z / y)). [para(14(a,1),14030(a,1,2,2,1)),flip(a)]. 14054 (x * K(y,y \ z)) * z = x * (y * (z / y)). [para(14038(a,1),13838(a,2))]. 14056 T(x,x \ T(y,z)) = T(x,T(x \ y,z)). [para(14043(a,1),5200(a,2)),flip(a)]. 14057 T(x,T(x \ y,z)) = (x \ T(y,z)) \ T(y,z). [para(14056(a,1),105(a,1))]. 14058 T(x,x \ T(y,y \ x)) = T(x,x \ y). [para(14056(a,2),2943(a,1))]. 14059 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(14058(a,1),159(a,1,2))]. 14060 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(14044(a,1),5214(a,2,1)),flip(a)]. 14061 K(x,T(x \ (y \ z),z)) = K(x,x \ (z / y)). [para(14052(a,1),11613(a,2))]. 14062 R(x,K(y,y \ z),z) = x. [hyper(5563,a,14054,a)]. 14063 R(x,K(y,z),z * y) = x. [para(7006(a,1),14062(a,1,2))]. 14064 x / (K(y,z) * (z * y)) = (x / (z * y)) * K(z,y). [para(14063(a,1),7774(a,1)),flip(a)]. 14065 K(x,x \ (y / (y / z))) = K(x,T(x \ z,y)). [para(59(a,1),14061(a,1,2,1,2)),flip(a)]. 14066 K(x,x \ ((y * z) / y)) = K(x,x \ (y / (y / z))). [para(14065(a,2),14030(a,2))]. 14067 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [para(105(a,1),14059(a,1,2))]. 14068 (x / (y * z)) * K(y,z) = x / (z * y). [para(5134(a,1),14064(a,1,2)),flip(a)]. 14070 (x / (y * z)) * T(y,z) = (x / (z * y)) * y. [para(14068(a,1),6403(a,1,1)),flip(a)]. 14071 (x / (y * z)) * (z * K(y,z)) = (x / (z * y)) * z. [para(14068(a,1),9445(a,1,1)),flip(a)]. 14072 (x / (y * (z / y))) * (z / y) = (x / z) * T(z / y,y). [para(16(a,1),14070(a,1,1,2)),flip(a)]. 14073 (1 / (x * y)) * (T(x,y) * T(T(x,y) \ (x * y),z)) = K(((1 / (y * x)) * x) \ 1,z). [para(14070(a,1),5946(a,2,1,1))]. 14074 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,(y \ x) \ (x / (x / z))). [para(14066(a,1),13878(a,2))]. 14075 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [para(14067(a,1),6717(a,1))]. 14076 (x / (y * z)) * ((y * z) / y) = (x / (z * y)) * z. [para(5172(a,2),14071(a,1,2))]. 14077 a((x * y) \ 1,y,x) / x = (1 / (y * x)) * y. [para(14076(a,1),11166(a,1)),flip(a)]. 14078 1 / L(x,y,(x * y) \ 1) = (1 / (y * x)) * y. [para(14077(a,1),12896(a,1)),flip(a)]. 14079 (1 / ((x \ y) * x)) * (x \ y) = 1 / L(x,x \ y,y \ 1). [para(14(a,1),14078(a,1,2,3,1)),flip(a)]. 14080 L(x,y,(x * y) \ 1) \ 1 = T((1 / (y * x)) * y,x). [para(14078(a,1),11656(a,1,1)),flip(a)]. 14081 1 / T((1 / (x * y)) * x,y) = L(y,x,(y * x) \ 1). [para(14080(a,1),57(a,1,2))]. 14082 L(x,y,(y * x) \ 1) = L(x,y,(x * y) \ 1). [para(14081(a,1),11673(a,1)),flip(a)]. 14083 L(x \ y,x,((x \ y) * x) \ 1) = L(x \ y,x,y \ 1). [para(14(a,1),14082(a,1,3,1)),flip(a)]. 14084 L(x,y / x,(x * (y / x)) \ 1) = L(x,y / x,y \ 1). [para(16(a,1),14082(a,1,3,1)),flip(a)]. 14085 (x / (y * (z / y))) * (z / y) = (x / z) * (y \ z). [para(106(a,1),14072(a,2,2))]. 14086 L(x,y / x,(x * (y / x)) \ 1) = ((1 / y) * (x \ y)) \ K(y / x,x). [para(14085(a,1),6181(a,1,1)),flip(a)]. 14087 L(x \ y,x,((x \ y) * x) \ 1) = ((1 / y) * x) \ 1. [para(14083(a,2),3787(a,1))]. 14088 K((((1 / x) * y) \ 1) / ((((y \ x) * y) \ 1) * x),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(14087(a,1),5835(a,1,1,1))]. 14089 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [para(14060(a,1),9726(a,1))]. 14090 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(14089(a,2),5820(a,1,2))]. 14091 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [para(14090(a,1),104(a,1)),flip(a)]. 14092 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(14091(a,1),8147(a,1,1))]. 14093 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(14092(a,1),11978(a,1,1)),flip(a)]. 14094 T(x,L(y,x,z)) = T(x,y). [hyper(9205,a,14021,a(flip))]. 14095 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(14094(a,1),104(a,1,2))]. 14097 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(326(a,1),14094(a,1,2))]. 14100 T(x,y \ (x \ (y * z))) = T(x,x \ z). [para(14094(a,1),9256(a,1)),flip(a)]. 14102 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(14095(a,1),856(a,1,2,2))]. 14103 T(x,y \ (x \ z)) = T(x,x \ (y \ z)). [para(14(a,1),14100(a,1,2,2,2))]. 14107 T(x,x \ ((x \ y) \ z)) = T(x,y \ z). [para(14103(a,1),10802(a,1))]. 14110 T(x * K(y,x),x \ ((z / x) \ u)) = T(x,z \ u) * K(y,T(x,(z / x) \ u)). [para(14107(a,1),10986(a,1,1)),flip(a)]. 14111 L(x,y / x,(x * (y / x)) \ 1) = ((1 / y) * (x \ y)) \ K(x \ y,x). [para(5322(a,1),14086(a,2,2))]. 14112 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [para(14093(a,2),8145(a,1))]. 14113 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [para(14112(a,1),5376(a,1))]. 14114 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(15(a,1),14113(a,2,1))]. 14115 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(32(a,2),14114(a,1,3))]. 14116 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(14115(a,1),5290(a,1,2))]. 14117 L(x,y / x,(x * (y / x)) \ 1) = L(x,x \ y,y \ 1). [para(14111(a,2),6148(a,1))]. 14118 L(x,y / x,y \ 1) = L(x,x \ y,y \ 1). [para(14117(a,1),14084(a,1)),flip(a)]. 14119 1 / L(x,x \ y,y \ 1) = (1 / y) * (y / x). [para(14118(a,1),3788(a,1,2))]. 14120 (1 / ((x \ y) * x)) * (x \ y) = (1 / y) * (y / x). [para(14119(a,1),14079(a,2))]. 14121 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(((1 / ((x \ y) * x)) * y) / ((1 / y) * (y / x)),z). [para(14120(a,1),12525(a,1,1,2)),flip(a)]. 14122 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [para(14116(a,1),12154(a,1))]. 14123 K(x * y,z) * x = x * K(y * x,z). [hyper(13263,a,14122,a)]. 14124 K(x * y,T(z,x)) = K(y * x,z). [hyper(7979,a,14123,a)]. 14125 K(x * y,T(z,y)) = K(y * x,z). [hyper(18,a,8551,a,b,14123,a),flip(a)]. 14126 K((x \ y) * x,z) = K(y,T(z,x)). [para(14(a,1),14124(a,1,1)),flip(a)]. 14130 K(x * y,z) * y = y * K(y * x,z). [para(14124(a,1),8551(a,1,1))]. 14132 K(x * y,z) * T(x,y) = T(x,y) * K(y * x,z). [para(14124(a,1),9199(a,1,2)),flip(a)]. 14133 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(14124(a,1),12638(a,1,1))]. 14134 K(x * (y / x),z) = K(y,T(z,x)). [para(16(a,1),14125(a,1,1)),flip(a)]. 14135 (x * y) * K(y * x,z) = T(x * y,T(z,y)). [para(14125(a,1),5200(a,2,2)),flip(a)]. 14138 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(14130(a,1),13915(a,1,1,1))]. 14139 K(x,y) * T(y * x,z) = T(x * y,T(z,y)). [para(14135(a,1),6445(a,2))]. 14140 (x \ y) \ (K(x \ y,x) * T(x * (x \ y),z)) = T(y,T(z,x)) / (x \ y). [para(14139(a,2),4955(a,1,2))]. 14141 (K(x * y,z) * T(x,y)) \ T(x,y) = K(z,y * x). [para(14132(a,2),7769(a,1,1))]. 14142 K(x,y * z) * T(y,z) = T(y,z) * K(x,z * y). [para(14141(a,1),8742(a,1,2)),flip(a)]. 14143 K(x,T(y * z,y)) = K(x,z * y). [hyper(8126,a,14142,a(flip))]. 14144 K(x,(y \ z) * y) = K(x,T(z,y)). [para(14(a,1),14143(a,1,2,1)),flip(a)]. 14147 K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). [para(14143(a,1),10153(a,1)),flip(a)]. 14148 K(x,T(y * z,z)) = K(x,z * y). [para(14143(a,1),10158(a,2))]. 14149 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [para(14143(a,1),10175(a,2))]. 14150 K(x,(y * (z \ 1)) * z) = K(x,L(y,z \ 1,z)). [para(14143(a,1),10358(a,1))]. 14151 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(14143(a,1),12220(a,1,2)),flip(a)]. 14152 K(x,y * (z / y)) = K(x,T(z,y)). [para(16(a,1),14148(a,1,2,1)),flip(a)]. 14153 K(x,y * z) * T(x,y) = T(T(x,y),z * y). [para(14148(a,1),8812(a,1,1))]. 14154 K(x,x * (x \ y)) / (x \ (((x * (((x \ y) \ 1) \ 1)) * x) / x)) = (x \ (x \ (y * x))) \ 1. [para(14148(a,1),14008(a,1,1))]. 14155 K(x,K(y,z) * ((y \ 1) \ z)) = K(x,T((y \ 1) \ z,y)). [para(5566(a,2),14152(a,1,2))]. 14156 K(x,T(y / (z \ 1),z)) = K(x,y / (T(z,y) \ 1)). [para(7907(a,2),14152(a,1,2)),flip(a)]. 14157 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [para(14147(a,2),13999(a,1))]. 14158 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [para(14149(a,1),11880(a,1))]. 14159 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [para(14151(a,1),10195(a,1)),flip(a)]. 14160 K(x,y) * T(x,y * z) = T(T(x,y),z * y). [para(14153(a,1),5728(a,1)),flip(a)]. 14161 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [para(14159(a,1),11288(a,1))]. 14162 T(x,T(y * z,z)) = T(x,z * y). [hyper(17,a,8952,a,b,14160,a),flip(a)]. 14163 K(x,y) * T(x,z * y) = T(T(x,y),y * z). [para(14162(a,1),8949(a,1)),flip(a)]. 14164 T(x,T(y * z,y)) = T(x,z * y). [hyper(17,a,8952,a,b,14163,a),flip(a)]. 14165 T(x,K(y,L(z,u \ 1,u))) = T(x,K(y,z)). [para(14150(a,1),13177(a,1,2))]. 14166 T(x,K(y,(z \ 1) \ u)) = T(x,K(y,z * u)). [para(323(a,1),14165(a,1,2,2)),flip(a)]. 14167 T(x * K(((x \ y) \ 1) \ x,z),K(z,(x \ y) * x)) = ((T(y,z) / (x \ y)) \ x) \ x. [para(14166(a,1),7688(a,1))]. 14168 K(x,y / (T(z,y) \ 1)) = K(x,(z \ 1) \ y). [para(14156(a,1),10155(a,1))]. 14169 K(x,y / ((y \ z) \ 1)) = K(x,((z / y) \ 1) \ y). [para(106(a,1),14168(a,1,2,2,1))]. 14170 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [para(14157(a,1),8577(a,1))]. 14171 K(x,L(y,1 / z,(1 / z) \ 1)) = R(K(x,y),z \ 1,z). [para(14170(a,1),4869(a,1))]. 14172 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [para(14170(a,1),13998(a,1)),flip(a)]. 14173 K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). [para(14172(a,1),12176(a,1,2))]. 14174 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,L(y,z,z \ 1)). [para(14172(a,1),13935(a,2))]. 14175 K(x,K(y,L(z,u \ 1,u))) = K(x,K(y,z)). [para(2635(a,1),14173(a,1,2,2))]. 14176 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,u)). [para(14175(a,1),12228(a,2,2))]. 14177 (x \ y) * K(y,K(z,u)) = x \ T(y,K(z,u)). [para(57(a,1),14176(a,1,1)),flip(a)]. 14178 (T(x,K(y,z)) / u) \ x = u * K(T(x,K(y,z)),K(y,z)). [para(8508(a,1),14176(a,1,2))]. 14180 (x \ y) * K(z,K(u,y)) = x \ T(y,K(z,u)). [para(8449(a,2),14177(a,1,2))]. 14181 T(x,y) * K(z,K(u,x * y)) = y \ T(x * y,K(z,u)). [para(32(a,2),14180(a,1,1))]. 14182 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(6126(a,2),14138(a,1,2,2))]. 14183 K(x,K(y,z) * ((y \ 1) \ z)) = K(x,z / (y \ 1)). [para(14155(a,2),10163(a,1))]. 14184 R(K(x,y),z \ 1,z) = K(x,L(y,z \ 1,z)). [para(2811(a,1),14171(a,1,2)),flip(a)]. 14185 K(x,L(y,z \ 1,z)) / z = K(x,y) * (1 / z). [para(14184(a,1),2490(a,1,1))]. 14187 (T(x,K(y,z)) / u) \ x = u * K(x,K(y,z)). [para(5321(a,1),14178(a,2,2))]. 14188 (T(x,K(y,z)) / u) \ x = u * K(y,K(x,z)). [para(8435(a,1),14187(a,2,2))]. 14189 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(8363(a,1),14133(a,1,1,1))]. 14190 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [para(14161(a,1),11812(a,1))]. 14191 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [para(14190(a,1),10195(a,1)),flip(a)]. 14192 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(5711(a,2),14191(a,2,2))]. 14193 (x \ y) \ (K(x \ y,x) * T(y,z)) = T(y,T(z,x)) / (x \ y). [para(14(a,1),14140(a,1,2,2,1))]. 14194 T(x,T(y,z)) / (z \ x) = (x / z) \ T(x,y). [para(14193(a,1),5887(a,1))]. 14195 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(2941(a,1),14194(a,1,1))]. 14196 ((x / y) / (y \ 1)) \ T(x / y,y) = (y \ x) / ((y \ 1) \ (x / y)). [para(106(a,1),14195(a,1,1)),flip(a)]. 14197 ((x \ y) / (x \ 1)) \ T(x \ y,x) = (x \ y) / ((x \ 1) \ (y / x)). [para(14195(a,1),6887(a,1))]. 14198 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [para(14195(a,2),7151(a,1))]. 14199 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(14198(a,1),6724(a,1,1)),flip(a)]. 14200 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(59(a,1),14199(a,1,1,2,1)),flip(a)]. 14201 K(x,y) * ((x \ 1) \ y) = (T(x,y) \ 1) \ y. [para(14199(a,1),6076(a,2))]. 14202 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [para(14200(a,1),57(a,1,2))]. 14203 K(x,(T(y,z) \ 1) \ z) = K(x,z / (y \ 1)). [para(14201(a,1),14183(a,1,2))]. 14204 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [para(14202(a,1),14075(a,2)),flip(a)]. 14205 K(x,y / ((z / y) \ 1)) = K(x,((y \ z) \ 1) \ y). [para(106(a,1),14203(a,1,2,1,1)),flip(a)]. 14206 1 / (x \ T(y,y \ x)) = T(1 / (x \ y),y). [para(14204(a,1),57(a,1,2))]. 14207 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(14204(a,1),2873(a,1,1))]. 14208 T(1 / (x \ (x / (x / y))),x / (x / y)) = 1 / (x \ y). [para(207(a,1),14206(a,1,2,2)),flip(a)]. 14209 x * (T((x \ y) \ 1,y) \ 1) = (((y \ x) \ 1) \ 1) \ x. [para(14207(a,1),2898(a,1,2,1))]. 14210 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(6689(a,2),14207(a,1,1))]. 14211 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(13(a,1),14210(a,1,1,1,1)),flip(a)]. 14212 L(x \ 1,x,y) \ K(x,y) = ((x * y) \ y) \ 1. [para(14211(a,1),757(a,1)),flip(a)]. 14213 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) \ K(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. [para(12716(a,2),14212(a,2,1,1))]. 14214 T(1 / (x \ (x / (x / y))),(x / y) \ x) = 1 / (x \ y). [para(14208(a,1),9126(a,1)),flip(a)]. 14215 T(1 / (x \ (x / (x / y))),y) = 1 / (x \ y). [para(59(a,1),14214(a,1,2))]. 14216 T(1 / (x \ K(y,T(z,x))),K(y,z)) = 1 / (x \ K(y,z)). [para(8744(a,1),14215(a,1,1,2,2))]. 14217 T(1 / (x \ K(y,T(z,x))),K(z,y)) = 1 / (x \ K(y,z)). [para(14216(a,1),8502(a,1)),flip(a)]. 14218 (x \ y) / ((x \ 1) \ (y / x)) = ((y / x) / (x \ 1)) \ (x \ y). [para(106(a,1),14196(a,1,2)),flip(a)]. 14219 ((x \ y) / (x \ 1)) \ T(x \ y,x) = ((y / x) / (x \ 1)) \ (x \ y). [para(14197(a,2),14218(a,1))]. 14220 ((x / y) / (y \ 1)) \ (y \ x) = T(y,y \ x) \ 1. [para(14219(a,1),7151(a,1))]. 14221 (x \ y) / (T(x,x \ y) \ 1) = (y / x) / (x \ 1). [para(14220(a,1),57(a,1,2))]. 14222 K(x,(y / z) / (z \ 1)) = K(x,(z \ 1) \ (z \ y)). [para(14221(a,1),14168(a,1,2))]. 14223 K(x,(y \ 1) \ (y \ K(z,u))) = K(z,K(u,x)). [para(14222(a,1),12237(a,1))]. 14224 (x \ K(y,z)) \ (x \ K(y,T(z,u))) = K(y,K(z,u)). [para(14223(a,1),9680(a,2))]. 14225 (x \ K(y,z)) * K(y,K(z,u)) = x \ K(y,T(z,u)). [para(14224(a,1),14(a,1,2))]. 14227 (x \ K(y,z)) * K(y,K(u,z)) = x \ K(y,T(z,u)). [para(8474(a,1),14225(a,1,2))]. 14228 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,y / (x / z)). [para(14074(a,2),13877(a,1))]. 14229 K(x / y,(x / y) \ z) = K(y \ x,y / (x / z)). [para(14228(a,1),14019(a,1)),flip(a)]. 14231 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = L(T(x,L(x,y,z) \ u),y,z). [para(14097(a,2),40(a,2)),flip(a)]. 14232 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = L(T(x,L(x,z,y) \ u),z,y). [para(14231(a,1),40(a,2))]. 14233 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(104(a,1),14102(a,1,1,1))]. 14234 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [para(14233(a,1),1030(a,1))]. 14235 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(104(a,1),14234(a,1,2))]. 14236 K(x,y * L(x,y,z)) = K(x,x * y). [para(14235(a,1),9439(a,1))]. 14237 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(14236(a,1),7048(a,1,1))]. 14239 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [para(14237(a,1),7048(a,1))]. 14240 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(14239(a,1),13577(a,1,1))]. 14241 L(K(x,x * y),y,z) = K(x,x * y). [para(9437(a,1),14240(a,1,1))]. 14243 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(14241(a,2),5344(a,1,2))]. 14245 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = K(y,y * z). [para(14241(a,1),11420(a,2))]. 14246 K(x,y \ (z * x)) = K(x,x * (y \ z)). [para(14241(a,1),13674(a,1)),flip(a)]. 14247 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(853(a,1),14246(a,1,2))]. 14248 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(14246(a,1),7048(a,1,1))]. 14249 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [para(14246(a,1),10849(a,2))]. 14250 K(x,y \ (x * z)) = K(x,x * (y \ z)). [para(14246(a,1),11685(a,1)),flip(a)]. 14251 K(x,x * (y \ (x \ z))) = K(x,y \ z). [para(14246(a,1),11693(a,1))]. 14252 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [para(14246(a,1),13625(a,2))]. 14254 K(x,(y / x) \ z) = K(x,x * (y \ z)). [para(14250(a,1),10812(a,2))]. 14255 L(K(x,x * (y \ (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(14250(a,1),11018(a,1,1))]. 14256 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(14250(a,1),11942(a,1)),flip(a)]. 14257 L(K(x * y,x),y,z) = K(x * y,x). [para(14243(a,1),10730(a,1)),flip(a)]. 14258 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(y * z,y). [para(10873(a,2),14243(a,1,2))]. 14259 R(K(x * y,T(y,z)),x,z) = K(y * T(x,z),y). [para(14257(a,1),11483(a,1)),flip(a)]. 14260 K(x * ((y * z) \ y),x) = K(z \ x,x). [para(14257(a,1),13676(a,1))]. 14261 K((x \ y) \ z,z) = K(z * (y \ x),z). [para(14(a,1),14260(a,1,1,2,1)),flip(a)]. 14262 K(x * L(y \ 1,y,z),x) = K(y \ x,x). [para(123(a,2),14260(a,1,1,2))]. 14263 K(x * ((y * (z * u)) \ (y * z)),x) = K(L(u,z,y) \ x,x). [para(89(a,1),14260(a,1,1,2,1))]. 14265 K(x \ (y * z),z) = K(z * (x \ y),z). [para(14261(a,1),9436(a,1)),flip(a)]. 14266 K(x * (y \ (x \ z)),x) = K(y \ z,x). [para(14261(a,1),10822(a,1))]. 14267 K((x / y) \ z,T(z,y)) = K(z * (x \ y),z). [para(14261(a,1),10854(a,2))]. 14268 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(14265(a,1),5777(a,1,1,1,2))]. 14269 K(x \ (y * z),y) = K(y * (x \ z),y). [para(14265(a,1),10793(a,1)),flip(a)]. 14270 K((x / y) \ z,y) = K(y * (x \ z),y). [para(14265(a,1),10827(a,2))]. 14271 L(K(x * (y \ (z \ u)),x),z \ u,z) = K((z * (x \ y)) \ u,x). [para(14269(a,1),10788(a,1,1))]. 14272 K(x * ((y * x) \ z),x) = K(y \ z,x). [para(15(a,1),14270(a,1,1,1)),flip(a)]. 14273 T(x * K(x * (y \ z),x),x \ ((y / x) \ z)) = (x \ ((y / x) \ z)) \ T((y / x) \ z,x). [para(14270(a,1),5380(a,1,1,2))]. 14274 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(14252(a,1),5200(a,2,2))]. 14276 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [para(14274(a,2),5200(a,2)),flip(a)]. 14277 T(x,y \ (x * z)) = T(x,x * (y \ z)). [para(14276(a,1),13524(a,1)),flip(a)]. 14278 T(x,(y / x) \ z) = T(x,x * (y \ z)). [para(14277(a,1),10806(a,2))]. 14279 T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). [para(14277(a,1),11831(a,1))]. 14280 T(x * K(y,x),x \ ((z / x) \ u)) = T(x,z \ u) * K(y,T(x,x * (z \ u))). [para(14278(a,1),14110(a,2,2,2))]. 14281 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). [para(14279(a,1),5509(a,1,2))]. 14282 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,y * x). [para(14245(a,1),12940(a,2))]. 14284 T(K(x * y,T(x,z)),z) = 1 / ((u * (x \ T(x * y,x))) \ (u * y)). [para(14258(a,2),8550(a,2))]. 14285 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [para(14248(a,1),7048(a,1))]. 14286 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [para(14285(a,1),11301(a,1)),flip(a)]. 14287 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(14286(a,1),11952(a,1))]. 14288 L(x,y \ (z \ y),x) = L(x,z \ 1,x). [para(14281(a,1),12640(a,1))]. 14289 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [para(59(a,1),14288(a,1,2,2)),flip(a)]. 14291 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(14(a,2),14289(a,1,2))]. 14292 T(K(x,K(y,z)) * K(y * z,y),x) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). [para(8518(a,2),14284(a,1,1))]. 14293 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [para(14268(a,1),5777(a,1))]. 14294 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [para(14293(a,1),10870(a,2))]. 14295 T(x * K(y,x),x \ ((z / x) \ u)) = T(x,z \ u) * K(y,T(x,z \ u)). [para(7476(a,1),14280(a,2,2))]. 14296 T(x * K(y,x),x \ ((z / x) \ u)) = T(x * K(y,x),z \ u). [para(14295(a,2),5672(a,1))]. 14297 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(u,K(y,z)) * K(y * z,T(y,u)). [para(14292(a,1),7997(a,1))]. 14298 L(K(x * y,T(y,z)),x,z) = K(y * x,T(y,z)). [hyper(12967,a,14297,a)]. 14299 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [para(14298(a,1),13570(a,1)),flip(a)]. 14301 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,x * y). [para(14282(a,2),5709(a,2)),flip(a)]. 14303 L(K(x \ ((y \ 1) \ x),(y \ 1) \ x),T(x,y),z) = K(y,x * y). [para(4250(a,1),14301(a,1,1,2))]. 14304 L(K((x \ 1) \ 1,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(6019(a,1),14303(a,1,1))]. 14305 L(K(x,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(3074(a,1),14304(a,1,1))]. 14306 L(K(x,x * y),T(y,x),z) = K(x,y * x). [para(10780(a,1),14305(a,1,1))]. 14307 L(K(x,y * x),T(y,x),z) = K(x,y * x). [para(5709(a,2),14306(a,1,1))]. 14308 L(K(x,y * x),y,z) = K(x,y * x). [para(14307(a,1),9423(a,1)),flip(a)]. 14309 L(K(x * y,y),x,z) = 1 / K(y,x * y). [para(14308(a,1),10730(a,1,2)),flip(a)]. 14310 L(K(x * y,y),x,z) = K(x * y,y). [para(14309(a,2),5344(a,1))]. 14311 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = L(K(y * x,x),z * y,u). [para(14310(a,1),8310(a,1,1)),flip(a)]. 14312 L(K(x * y,y),z * x,u) = K(y * L(x,z,u),y). [para(14311(a,1),14257(a,1))]. 14314 L(K((x \ (y \ z)) * u,u),x * (x \ (y \ z)),y) = K(u * ((y * x) \ z),u). [para(171(a,1),14312(a,2,1,2))]. 14315 L(K(L(x \ 1,x,y) * z,z),(y * x) * L(x \ 1,x,y),u) = K(z * ((u * (y * x)) \ (u * y)),z). [para(271(a,1),14312(a,2,1,2))]. 14317 L(K(x * (y \ (z \ u)),x),y * (y \ (z \ u)),z) = K(x * ((z * y) \ u),x). [para(5920(a,1),14314(a,1,1))]. 14318 L(K(x * (y \ (z \ u)),x),z \ u,z) = K(x * ((z * y) \ u),x). [para(14(a,1),14317(a,1,2))]. 14320 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [para(14318(a,1),14271(a,1)),flip(a)]. 14321 K(x * ((y * (x * z)) \ u),x) = K((y * z) \ u,x). [para(13(a,1),14320(a,1,1,1,2)),flip(a)]. 14322 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(14320(a,1),5776(a,1,1,1,2))]. 14323 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [para(14321(a,1),14266(a,1)),flip(a)]. 14325 K((x * y) \ (z \ ((x * (y * z)) * u)),z) = K(u,z). [para(14323(a,1),10988(a,1))]. 14326 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [para(14323(a,1),11848(a,1))]. 14327 K(x \ (y * (z * x)),T(x,y * z)) = K(y * z,x). [para(14325(a,1),13867(a,1)),flip(a)]. 14328 K((x * (y * z)) / z,z) = K(x * y,z). [para(14327(a,1),11598(a,1)),flip(a)]. 14329 K(x \ (y * (z * x)),x) = K(y * z,x). [para(14328(a,1),5322(a,1)),flip(a)]. 14330 K(x \ (y * (x * z)),x) = K(y * z,x). [para(14329(a,1),11819(a,1)),flip(a)]. 14331 K((x / (y * z)) * z,y) = K(y \ x,y). [para(16(a,1),14330(a,1,1,2)),flip(a)]. 14332 K((x / (y * L(T(y,z),u,w))) * L(y,u,w),y) = K(y \ x,y). [para(14331(a,1),11607(a,1)),flip(a)]. 14333 (1 / (x * y)) * (T(x,y) * T(T(y,x),z)) = K(((1 / (y * x)) * x) \ 1,z). [para(4286(a,1),14073(a,1,2,2,1))]. 14334 (1 / (x * y)) * (K(y,z) * (x * y)) = K(((1 / (y * x)) * x) \ 1,z). [para(5726(a,1),14333(a,1,2))]. 14335 (1 / (x * y)) * (K(y,z) * (x * y)) = K((((y * x) \ 1) * x) \ 1,z). [para(14334(a,2),6635(a,1))]. 14336 T(x * K(((x \ y) \ 1) \ x,z),K(z,T(y,x))) = ((T(y,z) / (x \ y)) \ x) \ x. [para(14144(a,1),14167(a,1,2))]. 14337 T(x * K(((x \ y) \ 1) \ x,z),K(z,y)) = ((T(y,z) / (x \ y)) \ x) \ x. [para(14336(a,1),11628(a,1)),flip(a)]. 14338 T(x * K(((x \ y) \ 1) \ x,z),K(y,z)) = ((T(y,z) / (x \ y)) \ x) \ x. [para(14337(a,1),8502(a,1)),flip(a)]. 14339 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [para(14322(a,1),5776(a,1))]. 14340 K((((1 / x) * y) \ 1) / ((x \ 1) * (y * (x / y))),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(13146(a,1),14088(a,1,1,2))]. 14341 K(x,y) / (x \ (((x * (((x \ y) \ 1) \ 1)) * x) / x)) = (x \ (x \ (y * x))) \ 1. [para(14(a,1),14154(a,1,1,2))]. 14342 K(x,y) / (x \ (x * (((x \ y) \ 1) \ 1))) = (x \ (x \ (y * x))) \ 1. [para(15(a,1),14341(a,1,2,2))]. 14343 (x \ (x \ (y * x))) \ 1 = K(x,y) / (((x \ y) \ 1) \ 1). [para(13(a,1),14342(a,1,2)),flip(a)]. 14346 (x \ ((y / x) \ z)) \ T((y / x) \ z,x) = T(x * K(x * (y \ z),x),y \ z). [para(14273(a,1),14296(a,1))]. 14347 (x \ ((y / x) \ z)) \ T((y / x) \ z,x) = R(x,y \ z,x). [para(14346(a,2),5673(a,1))]. 14348 K((((1 / x) * y) \ 1) * (x * (1 / (y * (x / y)))),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(13339(a,1),14340(a,1,1))]. 14349 K((((1 / x) * y) \ 1) * (x * ((y * (x / y)) \ 1)),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(14348(a,1),6627(a,1)),flip(a)]. 14350 K((((1 / x) * y) \ 1) * K(y \ x,y),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(6727(a,1),14349(a,1,1,2))]. 14351 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((1 / y) * x) \ K(x \ y,x),z). [para(12337(a,1),14350(a,1,1)),flip(a)]. 14352 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(T(((1 / y) * x) \ 1,x),z). [para(6149(a,1),14351(a,2,1))]. 14353 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((1 / y) * x) \ 1,T(z,x)). [para(14352(a,2),8800(a,1))]. 14354 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((y \ 1) * x) \ 1,T(z,x)). [para(14353(a,2),6635(a,1))]. 14355 L(K(x * L(y \ 1,y,z),x),(z * y) * L(y \ 1,y,z),u) = K(x * ((u * (z * y)) \ (u * z)),x). [para(5920(a,1),14315(a,1,1))]. 14356 L(K(x \ y,y),(z * x) * L(x \ 1,x,z),u) = K(y * ((u * (z * x)) \ (u * z)),y). [para(14262(a,1),14355(a,1,1))]. 14357 K(x * ((y * (z * u)) \ (y * z)),x) = L(K(u \ x,x),z,y). [para(247(a,1),14356(a,1,2)),flip(a)]. 14359 L(K(x \ y,y),z,u) = K(L(x,z,u) \ y,y). [para(14357(a,1),14263(a,1))]. 14360 K(L(x \ y,z,u) \ y,y) = L(K(x,y),z,u). [para(6016(a,1),14359(a,1,1)),flip(a)]. 14361 K(L(x,y,z) \ u,u) \ 1 = L(K(u,x \ u),y,z). [para(14359(a,1),10727(a,1,1))]. 14362 T(x,L(y \ x,z,u) \ x) = 1 / (x \ L(K(y,x),z,u)). [para(14360(a,1),5197(a,2,2,2))]. 14363 T(x * y,x) / T(T(x,L(z \ x,u,w) \ x) * y,x) = L(K(z,x),u,w). [para(14360(a,1),7339(a,2))]. 14364 L(K(x,y \ x),z,u) = K(x,L(y,z,u) \ x). [para(14361(a,1),5332(a,1))]. 14365 L(K(x,x * (y \ z)),u,w) = K(x,L(z \ y,u,w) \ x). [para(14249(a,1),14364(a,1,1))]. 14366 T(x,L(y \ x,z,u) \ x) = x * L(K(x,y),z,u). [para(14362(a,2),11529(a,1))]. 14367 K(x,L((y \ z) \ u,y \ z,y) \ x) = K(x,(y * (x \ u)) \ z). [para(14365(a,1),14255(a,1))]. 14368 K(x,(y * (x \ z)) \ 1) = K(x,(y * z) \ x). [para(323(a,1),14367(a,1,2,1)),flip(a)]. 14369 K(x,(y \ (z * u)) \ x) = K(x,(z * (x \ u)) \ y). [para(316(a,1),14367(a,1,2,1))]. 14370 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(14368(a,1),10680(a,2))]. 14372 K(x,(y * (x \ z)) \ u) = K(x,x * ((y * z) \ u)). [para(14369(a,1),14249(a,1))]. 14373 K(x,x * ((y * (x * z)) \ u)) = K(x,(y * z) \ u). [para(13(a,1),14372(a,1,2,1,2)),flip(a)]. 14374 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [para(14372(a,1),8077(a,2))]. 14375 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [para(14372(a,2),14251(a,1))]. 14376 K(x,(y * z) \ u) * T(x * K(((y * (x * z)) \ u) * x,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(14373(a,1),10352(a,1,1))]. 14377 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,(x * (y * z)) \ u) * K(w,K(y,(x * z) \ u)). [para(14373(a,1),14181(a,1,2,2)),flip(a)]. 14378 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(14373(a,1),14251(a,1)),flip(a)]. 14380 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [para(14375(a,1),14029(a,1)),flip(a)]. 14381 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(6783(a,1),14380(a,1,2,2,1,2))]. 14382 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(14380(a,1),7048(a,1,1)),flip(a)]. 14383 T(x * y,x) / T((x * L(K(x,z),u,w)) * y,x) = L(K(z,x),u,w). [para(14366(a,1),14363(a,1,2,1,1))]. 14384 T(x * y,x) / T(x * (L(K(x,z),u,w) * y),x) = L(K(z,x),u,w). [para(10708(a,1),14383(a,1,2,1))]. 14385 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = K(L(x,y,z),(u * w) \ v5). [para(14382(a,2),7048(a,1))]. 14386 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),14192(a,1,2,2,2)),flip(a)]. 14387 K(x,(y * z) \ u) * T(x * K(x * ((y * (x * z)) \ u),x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(5920(a,1),14376(a,1,2,1,2))]. 14388 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * (y * z)) \ u) * T(y,K(w,(x * z) \ u)). [para(14377(a,2),8443(a,2)),flip(a)]. 14389 K(x,(y * z) \ u) * T(x * K((y * z) \ u,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(14321(a,1),14387(a,1,2,1,2))]. 14390 T(x,T((y * (x * z)) \ u,(y * z) \ u)) = T(x,T((y * (x * z)) \ u,x)). [para(14389(a,1),9218(a,1)),flip(a)]. 14391 T(x,T((y * (x * z)) \ u,(y * z) \ u)) = T(x,(y * (x * z)) \ u). [para(14390(a,2),4281(a,1))]. 14392 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * z) \ (y \ u)) * T(y,K(w,(x * z) \ u)). [para(14378(a,1),14388(a,2,1))]. 14393 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,T((x * z) \ (y \ u),w)). [para(14392(a,2),11817(a,1))]. 14394 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(y,w)) = T(y,T((x * z) \ (y \ u),w)). [para(8502(a,1),14393(a,1,2))]. 14395 T(x,T((y * (x * z)) \ u,w)) = T(x,T((y * z) \ (x \ u),w)). [para(14394(a,1),10311(a,1)),flip(a)]. 14396 T(x,T((y * z) \ (x \ u),(y * z) \ u)) = T(x,(y * (x * z)) \ u). [para(14395(a,1),14391(a,1))]. 14397 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [para(14396(a,1),11647(a,1))]. 14398 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [para(14397(a,1),11226(a,2))]. 14399 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = L(T(x,L(x,z,y) \ u),z,y). [para(14398(a,1),14232(a,1,1))]. 14400 L(T(x,L(x,y,z) \ u),y,z) = L(T(x,x \ u),y,z). [para(14100(a,1),14399(a,1,1)),flip(a)]. 14401 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(14400(a,1),5637(a,1,2,1))]. 14403 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [para(14401(a,1),5637(a,1))]. 14404 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(14403(a,1),14381(a,1))]. 14405 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [para(14404(a,1),14385(a,1)),flip(a)]. 14406 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(14405(a,1),14374(a,1)),flip(a)]. 14407 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(12(a,1),14406(a,1,2,2,1))]. 14408 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [para(14407(a,2),7251(a,1))]. 14409 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [para(14408(a,2),14339(a,1))]. 14410 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(12(a,1),14409(a,2,2,2,1))]. 14411 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(14410(a,1),14256(a,2))]. 14412 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(14411(a,2),14287(a,1))]. 14413 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(3206(a,1),14412(a,1,2))]. 14415 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(14413(a,1),7769(a,1,1,2)),flip(a)]. 14416 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [para(14415(a,2),5351(a,1))]. 14417 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(14416(a,1),6574(a,1,1,2))]. 14418 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(14294(a,1),14417(a,1,1,2))]. 14419 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(48(a,1),14418(a,1,1,2,1,2))]. 14420 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5763(a,1),14419(a,1,1))]. 14421 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(14420(a,1),40(a,2))]. 14422 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5673(a,1),14421(a,1,1)),flip(a)]. 14423 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [para(14422(a,1),4439(a,1)),flip(a)]. 14424 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(14423(a,1),312(a,1,2))]. 14425 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(299,a,14424,a),flip(a)]. 14426 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(233,a,14425,a),flip(a)]. 14431 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(14426(a,1),12454(a,1,2))]. 14432 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [para(14426(a,1),13966(a,1))]. 14433 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(13064,a,14431,a),flip(a)]. 14435 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [para(14433(a,1),12437(a,1,2)),flip(a)]. 14436 K(x * L(y,z,u),y) = K(y * x,y). [para(14435(a,2),12360(a,1))]. 14441 K(L(x,y,z) * u,x) = K(x * u,x). [para(14436(a,1),11562(a,2))]. 14442 K(x * (y / (x * L(T(x,z),u,w))),x) = K(x \ y,x). [para(14436(a,1),14332(a,1))]. 14445 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(14432(a,1),336(a,1,1)),flip(a)]. 14447 (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(14432(a,1),14431(a,1,2))]. 14449 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [para(14445(a,2),100(a,1))]. 14450 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10114(a,1),14449(a,1,1,1)),flip(a)]. 14451 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u). [para(9514(a,1),14213(a,1,1)),flip(a)]. 14453 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(y,x) * K(z,y)) * K(K(y,x) * K(z,y),u). [para(14451(a,2),12716(a,1))]. 14454 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = T(K(y,x) * K(z,y),u). [para(14453(a,2),5200(a,2)),flip(a)]. 14455 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(12687(a,1),14454(a,1,1,1))]. 14456 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(14455(a,1),13120(a,2))]. 14457 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(K(x,x \ y) / ((1 / y) * (y / x)),z). [para(5878(a,1),14121(a,2,1,1))]. 14458 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(K(x,x \ y) / ((y \ 1) * (y / x)),z). [para(14457(a,2),6665(a,1))]. 14459 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(((y \ 1) * (x \ y)) \ 1,z). [para(14458(a,2),7893(a,1))]. 14460 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = (1 / y) * (K(x,z) * y). [para(14459(a,2),6723(a,1))]. 14461 K(x,K(x,x \ y) / ((1 / ((x \ y) * x)) * (z \ y))) = (1 / y) * (K(x,z) * y). [para(5878(a,1),14460(a,1,2,1))]. 14462 K(x,K(x,x \ y) / ((((x \ y) * x) \ 1) * (z \ y))) = (1 / y) * (K(x,z) * y). [para(14461(a,1),7253(a,1)),flip(a)]. 14464 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(12714(a,1),14456(a,1,2,1,1))]. 14465 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8673(a,1),14464(a,1,2,1))]. 14466 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8474(a,1),14465(a,1,2,1))]. 14468 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(12714(a,1),14466(a,1,2,2,1))]. 14469 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(8673(a,1),14468(a,1,2,2))]. 14471 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(12814(a,1),14469(a,1,2))]. 14472 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [para(14471(a,1),12714(a,1)),flip(a)]. 14473 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [para(14472(a,1),12835(a,2))]. 14474 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [para(14473(a,1),12813(a,1)),flip(a)]. 14475 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [para(14474(a,1),13310(a,1))]. 14476 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [para(14475(a,1),12758(a,1)),flip(a)]. 14477 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [para(14476(a,1),9580(a,1)),flip(a)]. 14478 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(14477(a,1),12733(a,1,1)),flip(a)]. 14479 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(14478(a,1),10527(a,1))]. 14480 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(12761(a,1),14479(a,1,1)),flip(a)]. 14482 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(5830(a,1),14189(a,1,1))]. 14483 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),14482(a,1,2,2,1,2))]. 14485 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(9531(a,1),14483(a,1,2))]. 14486 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((L(z,u,w) * K(x * (L(z,u,w) \ y),y \ L(z,u,w))) / y,z). [para(6581(a,1),13452(a,2,1,1))]. 14487 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((L(z,u,w) / y) * K(x * (L(z,u,w) \ y),L(z,u,w) / y),z). [para(6533(a,1),14486(a,2,1))]. 14488 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(L(z,u,w) / y,T(z,x * (L(z,u,w) \ y))). [para(14487(a,2),8780(a,1))]. 14489 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(L(z,u,w) / y,T(z,x)). [para(14488(a,2),12131(a,1))]. 14490 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(y \ L(z,u,w),T(z,x)). [para(14489(a,2),8900(a,1))]. 14491 K(K(x * (y / L(z,u,w)),(y / L(z,u,w)) \ 1) / (y / L(z,u,w)),z) = K(y \ L(z,u,w),T(z,x)). [para(5663(a,2),14490(a,1,1))]. 14492 K(K(x * (y / L(z,u,w)),L(z,u,w) / y) / (y / L(z,u,w)),z) = K(y \ L(z,u,w),T(z,x)). [para(5838(a,1),14491(a,1,1,1))]. 14493 K(K(x * (L(y,z,u) \ w),L(y,z,u) / w) / (w / L(y,z,u)),y) = K(w \ L(y,z,u),T(y,x)). [para(13445(a,1),14492(a,1,1,1))]. 14494 K((x / K(y * (L(z,u,w) \ x),L(z,u,w) / x)) \ L(z,u,w),z) = K(x \ L(z,u,w),T(z,y)). [para(14493(a,1),11938(a,1)),flip(a)]. 14495 K((x * K(L(y,z,u) / x,w * (L(y,z,u) \ x))) \ L(y,z,u),y) = K(x \ L(y,z,u),T(y,w)). [para(7768(a,1),14494(a,1,1,1))]. 14496 ((((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(2568(a,1),12915(a,2,1))]. 14497 ((((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(8377(a,1),14496(a,2,1))]. 14498 ((((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),14497(a,2,2,2))]. 14499 ((((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),14498(a,2,2))]. 14501 ((((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(14499(a,2),5214(a,2)),flip(a)]. 14502 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. [para(12913(a,1),14501(a,1,1,1,2,1)),flip(a)]. 14503 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. [para(11(a,1),14502(a,2,1,1,2))]. 14505 T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. [para(15(a,1),14503(a,2,1,1))]. 14506 (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). [para(14505(a,1),12914(a,1,2))]. 14507 (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(14506(a,1),1980(a,1)),flip(a)]. 14508 K(x \ L(x,y,z),a(z,y,x)) = 1. [para(14507(a,1),12294(a,1))]. 14509 x * K(y \ L(y,z,u),a(u,z,y)) = x. [para(14508(a,2),12(a,1,2))]. 14511 K(a(x,y,z),z \ L(z,y,x)) = 1. [hyper(5345,a,14509,a)]. 14512 1 / a(x,y,z) = a(x,y,z) \ 1. [para(14511(a,1),11931(a,1,2)),flip(a)]. 14513 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(14512(a,1),59(a,1,1))]. 14515 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(12598(a,1),14513(a,1,1))]. 14516 a(x,y,x) * K(z * x,a(x,y,x)) = R(a(x,y,x),x,z). [para(14513(a,1),13096(a,2,1))]. 14517 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [para(14515(a,1),14513(a,1))]. 14518 (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(14517(a,2),7560(a,2))]. 14519 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(T(x,y),z,u),y,x). [para(14517(a,1),8110(a,1))]. 14520 a(T(R(x,y,z),R(x,y,z) \ u),R(x,y,z) \ u,x) = a(x,u / R(x,y,z),R(x,y,z)). [para(14517(a,1),8343(a,2))]. 14521 R(a(x,y,x),x,z) = a(x,y,x). [para(14516(a,1),12694(a,1))]. 14522 ((a(x / y,z,x / y) * (x / y)) * y) / x = a(x / y,z,x / y). [para(14521(a,1),102(a,2))]. 14523 ((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(14521(a,1),333(a,2))]. 14525 a(R(T(x,y),z,u),y,x) = a(x,T(y,x),R(x,z,u)). [para(14519(a,1),12594(a,1))]. 14526 a(R(T(x,y),z,u),y,x) = a(x,y,R(x,z,u)). [para(14525(a,2),12280(a,1))]. 14528 ((a(x \ y,z,x \ y) * (y / x)) * x) / y = a(y / x,z,y / x). [para(12426(a,1),14522(a,1,1,1,1))]. 14529 (R(x / y,z,y \ x) * y) / x = a(x / y,z,x / y). [para(12370(a,1),14528(a,1,1,1))]. 14530 (x * R(x \ y,z,x \ y)) / y = a(y / x,z,y / x). [para(413(a,1),14529(a,1,1))]. 14531 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [para(14530(a,2),12426(a,1))]. 14532 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [para(14531(a,1),13671(a,2))]. 14533 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(8355(a,1),14532(a,1,1))]. 14534 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [para(14533(a,1),11873(a,1)),flip(a)]. 14535 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [para(14534(a,1),13683(a,2))]. 14536 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [para(14535(a,1),12475(a,1)),flip(a)]. 14537 a(R(T(x,R(x,y,z) \ u),y,z),R(x,y,z) \ u,x) = a(x,u / R(x,y,z),R(x,y,z)). [para(42(a,2),14520(a,1,1))]. 14538 a(x,y / R(x,z,u),R(x,z,u)) = a(x,R(x,z,u) \ y,R(x,z,u)). [para(14537(a,1),14526(a,1))]. 14539 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(14538(a,1),12259(a,1,1))]. 14540 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [para(14539(a,2),7630(a,1))]. 14541 (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(12368(a,1),14523(a,1,1,1))]. 14542 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(336(a,1),14541(a,1,1))]. 14543 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(14449(a,1),14542(a,1,1))]. 14544 R(a(x,y,x),x * z,u) = a(R(x,z,u),y,R(x,z,u)). [para(14543(a,1),13067(a,1)),flip(a)]. 14545 (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(8219(a,1),14518(a,1,1,2))]. 14546 (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(402(a,1),14545(a,1,1))]. 14547 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(146(a,1),14546(a,1,2)),flip(a)]. 14548 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(14547(a,2),1550(a,1))]. 14549 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),14548(a,2,3))]. 14550 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(14549(a,1),14517(a,1)),flip(a)]. 14551 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [para(14550(a,1),12594(a,1)),flip(a)]. 14552 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [para(14551(a,1),12281(a,1))]. 14555 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(14552(a,1),14004(a,2))]. 14556 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [para(14555(a,1),12396(a,1)),flip(a)]. 14558 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(14556(a,1),14002(a,1,2)),flip(a)]. 14559 (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),14558(a,2,2,2))]. 14560 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(12280(a,1),14559(a,2,2))]. 14561 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [para(14560(a,1),14447(a,1)),flip(a)]. 14562 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(235(a,1),14561(a,1,2,3))]. 14563 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(12696,a,14562,a)]. 14564 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [para(14563(a,1),14544(a,2))]. 14565 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [para(14563(a,1),14556(a,1))]. 14566 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(14(a,1),14564(a,1,2)),flip(a)]. 14567 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(14566(a,1),12251(a,1,2)),flip(a)]. 14568 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(14566(a,1),12261(a,1,2)),flip(a)]. 14569 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(14567(a,1),10114(a,1))]. 14570 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(14565(a,1),14540(a,1,1))]. 14571 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [para(14570(a,1),11906(a,1)),flip(a)]. 14572 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12423(a,1),14569(a,1,2,1)),flip(a)]. 14574 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [para(14572(a,2),14568(a,2)),flip(a)]. 14575 (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(14574(a,1),14450(a,2,1,1))]. 14576 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(14480(a,1),14575(a,2,1))]. 14578 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(14566(a,1),14576(a,2,1,1))]. 14579 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(9279(a,1),14578(a,1,1,1))]. 14581 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(13093(a,1),14579(a,1,1))]. 14582 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(12406(a,1),14581(a,1,1)),flip(a)]. 14583 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [para(14582(a,1),330(a,1,2))]. 14584 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [para(14583(a,1),13837(a,1))]. 14585 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(12695(a,1),14584(a,2,2))]. 14587 a(R(a(x,y,x),z,u),z,u) = 1. [para(14585(a,2),12698(a,1))]. 14588 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(33,a,14587,a)]. 14590 (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(14588(a,1),13784(a,1,2))]. 14591 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(12718(a,1),14590(a,1,1,2,1))]. 14592 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [para(14591(a,1),178(a,1))]. 14593 R(a(x,y,x),z,u) = a(x,y,x). [hyper(17,a,12691,a(flip),b,14592,a)]. 14595 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(14593(a,1),100(a,1,1)),flip(a)]. 14597 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [para(14593(a,1),333(a,2))]. 14601 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [para(14593(a,1),12821(a,1))]. 14602 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)). [para(14593(a,1),12389(a,1,1,1)),flip(a)]. 14603 a(x,y,R(x,z,u)) = a(x,y,x). [para(14593(a,1),14564(a,1)),flip(a)]. 14604 L(x,y,a(z,u,z)) = x. [para(14593(a,1),14588(a,1,3))]. 14605 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(14604(a,1),353(a,1,2))]. 14606 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(14604(a,1),309(a,1,2,1)),flip(a)]. 14608 L(x,y,R(x,z,u)) = a(x,y,x) \ x. [para(14603(a,1),12596(a,1,1)),flip(a)]. 14609 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(14603(a,1),14571(a,1,2)),flip(a)]. 14611 L(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)) \ x. [para(14433(a,2),14608(a,2,1))]. 14613 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5763(a,1),14601(a,1,2)),flip(a)]. 14615 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(14595(a,1),24(a,2,1)),flip(a)]. 14616 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(12691(a,1),14595(a,1,1))]. 14617 L(x,y,R(x,z,u)) = L(x,y,L(x,w,v5)). [para(14611(a,2),12449(a,1))]. 14618 L(x,y,L(x,z,u)) = L(x,y,x). [para(242(a,1),14617(a,1,3)),flip(a)]. 14620 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). [para(14618(a,1),45(a,1,1)),flip(a)]. 14624 T(L(x,x \ y,x) \ y,L(x,z,u)) = x \ T(y,L(x,z,u)). [para(14618(a,1),11948(a,1,1,1))]. 14625 (x * a(y,z,y)) * u = (x * u) * a(y,z,y). [para(14616(a,2),12691(a,1))]. 14626 R(x / L(y,z,y),y,y \ 1) = (x * (y \ 1)) * a(y,z,y). [para(14625(a,1),12401(a,2))]. 14628 (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). [para(14620(a,1),12755(a,1,1,2))]. 14629 K(x,R(x,y,z) \ u) = K(x,x \ u). [para(14609(a,2),12381(a,1))]. 14631 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [para(14629(a,1),12034(a,1))]. 14632 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [para(14631(a,1),13857(a,1)),flip(a)]. 14634 K(x,y \ R(x,z,u)) = K(x,y \ x). [para(14632(a,1),12570(a,1)),flip(a)]. 14635 K(x,y \ (z * R(x,u,w))) = K(x,(z \ y) \ x). [para(14634(a,1),10890(a,1)),flip(a)]. 14639 K(x,y \ (z * R(x,u,w))) = K(x,x * (y \ z)). [para(14635(a,2),14249(a,1))]. 14641 K(x,y \ (R(x,z,u) * w)) = K(x,x * (y \ w)). [para(14639(a,1),12113(a,2))]. 14642 K(x,y \ ((x * z) * u)) = K(x,x * (y \ (z * u))). [para(14639(a,1),12114(a,1)),flip(a)]. 14643 K(x,y \ (x \ ((x * z) * u))) = K(x,x * (y \ (x \ (z * u)))). [para(800(a,1),14641(a,1,2,2))]. 14645 K(x,x * (y \ ((z / x) * u))) = K(x,y \ (z * u)). [para(14642(a,1),11846(a,1))]. 14647 K(x,y \ ((z * x) * u)) = K(x,x * (y \ (z * u))). [para(15(a,1),14645(a,1,2,2,2,1)),flip(a)]. 14648 K(x,K(y,(z * y) * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(14647(a,1),10316(a,1,2))]. 14649 T(x / T(y,x),L(y,z,u)) = y \ T(x,L(y,z,u)). [para(6071(a,1),14624(a,1,1))]. 14651 x * (T(y,z * y) \ K(T(y,z * y),z)) = (x * (y \ 1)) * a(y,z,y). [para(14626(a,1),8349(a,2))]. 14652 K(x,y \ (x \ ((x * z) * u))) = K(x,y \ (z * u)). [para(14643(a,2),14251(a,1))]. 14653 K(x,y \ (x \ (z * u))) = K(x,y \ ((x \ z) * u)). [para(14(a,1),14652(a,1,2,2,2,1))]. 14654 K(x,(y * (z / u)) \ ((x \ (y * x)) * z)) = L(K(x,u),z,y * x). [para(14653(a,1),13975(a,1))]. 14655 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12697(a,1),14597(a,1,1,1))]. 14656 K(x,(y * (z / u)) \ (T(y,x) * z)) = L(K(x,u),z,y * x). [para(32(a,2),14654(a,1,2,2,1))]. 14657 L(K(x,y),z,u * x) = K(x,(u * (z / y)) \ (u * z)). [para(14656(a,1),11686(a,1))]. 14658 L(K(x,y),z,u * x) = L(K(x,y),z,u). [para(14657(a,2),10738(a,1))]. 14659 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = (T((x * y) * z,w) * L(K(y,u),z,x)) \ (T((x * y) * z,w) * K(y,u)). [para(14658(a,1),8311(a,1,1,2)),flip(a)]. 14660 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [para(14613(a,1),12470(a,1)),flip(a)]. 14661 x * (T(y,y * z) \ K(T(y,z * y),z)) = (x * (y \ 1)) * a(y,z,y). [para(4462(a,1),14651(a,1,2,1))]. 14662 x * (T(y,y * z) \ K(y,z)) = (x * (y \ 1)) * a(y,z,y). [para(6358(a,1),14661(a,1,2,2))]. 14663 (x * (y \ 1)) * a(y,z,y) = x * (L(y,z,y) \ 1). [para(9204(a,1),14662(a,1,2)),flip(a)]. 14664 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(100(a,1),14655(a,1,1))]. 14665 K(x,K(y,z * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(12109(a,1),14648(a,1,1))]. 14666 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(14595(a,1),14606(a,2,1))]. 14667 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [para(14666(a,2),14605(a,1))]. 14668 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),14667(a,2,2))]. 14669 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(14604(a,1),14668(a,1,2))]. 14670 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(14669(a,2),13202(a,1,1,2))]. 14671 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(14595(a,1),14615(a,1,2,1))]. 14672 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(5775(a,1),14660(a,2,2))]. 14673 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(14672(a,1),12384(a,2))]. 14674 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(14595(a,1),14671(a,1,2))]. 14675 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [para(14674(a,1),319(a,1)),flip(a)]. 14676 a(a(x,y,x) * z,u,w) = a(z,u,w). [para(14675(a,1),14604(a,1))]. 14677 a(K(x * y,x),z,u) = a(K(y,x),z,u). [para(12380(a,1),14676(a,1,1))]. 14678 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(12390(a,1),14676(a,1,1))]. 14679 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(12378(a,1),14676(a,1,1))]. 14680 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(14(a,1),14677(a,1,1,1)),flip(a)]. 14681 a(K(x * T(y,z),y),u,w) = a(K(x * y,(x * y) \ y),u,w). [para(8571(a,2),14679(a,2,1)),flip(a)]. 14682 a(K(x * y,y \ 1),z,u) = a(K(x,y \ 1),z,u). [para(6224(a,1),14680(a,1,1))]. 14683 a(K(x * T(y,z),y),u,w) = a(K(y * x,x \ 1),u,w). [para(6361(a,1),14681(a,2,1))]. 14684 a(K(x * T(y,z),y),u,w) = a(K(y,x \ 1),u,w). [para(14683(a,2),14682(a,1))]. 14685 a(K(x * y,y),z,u) = a(K(y,x \ 1),z,u). [para(103(a,1),14684(a,1,1,1,2))]. 14686 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(14685(a,1),14678(a,1))]. 14687 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(3596(a,1),14686(a,1,1)),flip(a)]. 14688 a(K(x \ 1,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u) \ 1),w,v5). [para(6941(a,1),14686(a,1,1))]. 14689 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(13875(a,2),14687(a,2,1)),flip(a)]. 14690 a(K(R(x,y,z),u \ 1),w,v5) = a(K(x,R(u,y,z) \ 1),w,v5). [para(14688(a,1),14686(a,1)),flip(a)]. 14691 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(14690(a,1),14686(a,1))]. 14692 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [para(14691(a,1),14686(a,1)),flip(a)]. 14693 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6975(a,1),14689(a,2,1))]. 14694 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [para(14693(a,2),14687(a,1))]. 14695 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(13875(a,1),14694(a,1,1))]. 14696 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [para(14695(a,2),14692(a,1))]. 14697 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(14(a,1),14670(a,1,1,2,1)),flip(a)]. 14698 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (L(T(u,z),z,u) \ y)) \ (K(u * z,u) * (y * x)). [para(13087(a,1),14602(a,2,1))]. 14700 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (T(u,u * z) \ y)) \ (K(u * z,u) * (y * x)). [para(459(a,1),14698(a,2,1,2,1))]. 14701 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)). [para(5179(a,1),14700(a,2,1))]. 14702 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)). [para(14701(a,2),28(a,2)),flip(a)]. 14703 L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). [para(14593(a,1),14702(a,1,3))]. 14705 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [para(14703(a,1),14604(a,1))]. 14706 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(14(a,1),14705(a,1,3,1)),flip(a)]. 14707 L(x,y / z,K(y,z)) = x. [para(14706(a,1),8908(a,1))]. 14708 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(14707(a,1),5626(a,1,2)),flip(a)]. 14709 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5452,a,14708,a)]. 14710 R(K(x,y),x \ y,z) = K(x,y). [hyper(8236,a,14709,a)]. 14711 R(K(x,x * y),y,z) = K(x,x * y). [para(13(a,1),14710(a,1,2))]. 14713 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(14711(a,1),13662(a,2,2))]. 14714 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [para(14713(a,2),5200(a,2)),flip(a)]. 14716 T(x,(y / (z * y)) \ x) = T(x,x * z). [para(14714(a,1),4865(a,1)),flip(a)]. 14717 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(16(a,1),14716(a,1,2,1,2))]. 14718 T(x,(y * x) / z) = T(x,x * (y / z)). [para(14717(a,1),11765(a,2))]. 14719 x * K(x,x * (y / z)) = T(x,(y * x) / z). [para(14718(a,2),5200(a,1)),flip(a)]. 14720 K(x,(x * y) / z) = K(x,x * (y / z)). [hyper(17,a,10975,a,b,14719,a),flip(a)]. 14721 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(17,a,5200,a(flip),b,14719,a),flip(a)]. 14722 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,y * (z / x)). [para(14720(a,1),10317(a,2))]. 14723 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(14721(a,1),8581(a,1,1,2))]. 14724 K(x,(y / z) \ x) = K(x,x * (z / y)). [para(14721(a,1),11749(a,1)),flip(a)]. 14725 K(x,x * ((y * z) / ((u * y) * z))) = K(x,R(u,y,z) \ x). [para(30(a,2),14724(a,1,2,1)),flip(a)]. 14726 (x * K(y,y * (z / u))) \ x = K((u / z) \ y,y). [para(14724(a,1),7769(a,1,1,2))]. 14727 K((x / y) \ z,z) = K(z * (y / x),z). [para(14726(a,1),5351(a,1))]. 14728 K(x * ((y * z) / ((u * y) * z)),x) = K(R(u,y,z) \ x,x). [para(30(a,2),14727(a,1,1,1)),flip(a)]. 14729 K(((T(x,x \ 1) * y) / y) \ z,z) = K(z * R(x \ 1,x,y),z). [para(2770(a,1),14727(a,2,1,2))]. 14730 K(x / (y \ z),y) = K(y * (x / z),y). [para(14727(a,1),13016(a,2))]. 14731 K(x * (y / (x * z)),x) = K(y / z,x). [para(14727(a,1),13017(a,1))]. 14732 K(x * ((y * z) / y),x) = K(x * z,T(x,y)). [para(14727(a,1),14299(a,1))]. 14733 K(x / L(T(y,z),u,w),y) = K(y \ x,y). [para(14731(a,1),14442(a,1))]. 14734 K(x / L(y,z,u),y) = K(y \ x,y). [para(103(a,1),14733(a,1,1,2,1))]. 14737 K(x * (y \ z),T(x,y)) = K(x * (z / y),x). [para(14(a,1),14732(a,1,1,2,1)),flip(a)]. 14738 K(x * (y \ z),T(x,z)) = K(x * (z / y),x). [para(14737(a,1),11603(a,2))]. 14739 K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). [para(14738(a,1),12458(a,1,1))]. 14740 K(x,K(y,z)) * K(y,y * (x \ z)) = K(y,y * (z / x)). [para(14250(a,1),14722(a,1,2))]. 14741 K(x,((y * x) * z) / u) = K(x,x * ((y * z) / u)). [para(14740(a,1),14665(a,1)),flip(a)]. 14742 K(x,x * ((y * z) / ((u * y) * z))) = K(R(x,y,z),u \ x). [para(14741(a,1),11862(a,1))]. 14743 K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). [para(8576(a,1),14739(a,1,2))]. 14744 a(x,y / z,x) = a(x,z \ y,x). [para(14743(a,1),12361(a,1)),flip(a)]. 14745 a(x,(y \ z) \ z,x) = a(x,y,x). [para(57(a,1),14744(a,1,2)),flip(a)]. 14746 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(101(a,2),14744(a,1,2))]. 14747 a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,(y * (z * u)) \ ((y * z) * u),x). [para(3855(a,2),14744(a,1,2))]. 14748 a(x,T(y,z),x) = a(x,y,x). [para(6249(a,2),14745(a,1,2))]. 14749 a(x,y * K(z,y),x) = a(x,y,x). [para(5936(a,1),14745(a,1,2)),flip(a)]. 14750 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(13902(a,1),14745(a,1,2)),flip(a)]. 14751 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(14748(a,1),12391(a,1,1))]. 14752 a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). [para(14748(a,2),13109(a,2)),flip(a)]. 14753 L(a(x,y,x),y,z) = a(x,y,x). [para(14749(a,1),14601(a,1)),flip(a)]. 14754 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(14753(a,1),14673(a,1,1))]. 14756 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [para(14746(a,1),14750(a,1)),flip(a)]. 14758 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,R(y \ u,y,z),x) \ w). [para(14756(a,2),12704(a,1,2,1)),flip(a)]. 14759 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [para(14742(a,1),14725(a,1))]. 14760 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [para(14759(a,1),12045(a,1))]. 14761 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [para(14754(a,2),14744(a,1))]. 14763 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(28(a,2),14761(a,2,2))]. 14764 L(a(x,(y \ z) \ u,x),(y \ z) * ((y \ z) \ u),y) = a(x,z \ (y * u),x). [para(316(a,1),14763(a,2,2))]. 14765 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [para(14723(a,1),8581(a,1))]. 14766 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [para(14765(a,1),9271(a,1)),flip(a)]. 14767 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [para(14766(a,1),11829(a,1)),flip(a)]. 14768 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(14767(a,1),14485(a,1,2))]. 14769 K(x * R(y \ 1,y,z),x) = K(T(y,y \ 1) \ x,x). [para(15(a,1),14729(a,1,1,1)),flip(a)]. 14771 K(x * R(y \ 1,y,z),x) = K(y \ x,x). [para(14769(a,2),6614(a,1))]. 14772 K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). [hyper(12464,a,14752,a)]. 14773 K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). [para(14772(a,2),7973(a,1))]. 14775 T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). [para(9193(a,2),14773(a,2,1)),flip(a)]. 14776 T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). [para(5920(a,2),14775(a,1,1,1))]. 14777 K(x,K(y,T(z,u))) * K(y * x,T(x,u)) = K(x * T(y,u),T(x,z)). [para(14776(a,1),12980(a,2))]. 14778 K(x * T(y,z),x) = K(y * x,T(x,z)). [hyper(17,a,8956,a,b,14777,a),flip(a)]. 14779 1 / (x \ K(y * x,T(x,z))) = T(x,x * T(y,z)). [para(14778(a,1),5197(a,2,2,2)),flip(a)]. 14780 R(K(x * y,T(y,z)),x,z) = K(x * y,T(y,z)). [para(14778(a,1),14259(a,2))]. 14781 R(K(x * (y * K(z,y)),y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). [para(5171(a,1),14780(a,1,1,2))]. 14782 T(x,T(y * x,z)) = T(x,x * T(y,z)). [para(14779(a,1),8813(a,1)),flip(a)]. 14783 T(x,T(x * y,z)) = T(x,x * T(y,z)). [para(14782(a,1),4981(a,1)),flip(a)]. 14784 T(x / T(y,x),z) * T(y,T(y * (y \ x),z)) = y * T(y \ x,z). [para(14783(a,2),10590(a,1,2))]. 14785 T(x / T(y,x),z) * T(y,T(x,z)) = y * T(y \ x,z). [para(14(a,1),14784(a,1,2,2,1))]. 14786 x * K(T(x,y) / y,z) = y * T(y \ x,z). [para(14785(a,1),9835(a,1)),flip(a)]. 14787 K(T(x,y) / y,z) = K(y \ x,z). [hyper(17,a,6437,a(flip),b,14786,a)]. 14788 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(14787(a,1),9971(a,2,2))]. 14789 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(14788(a,1),10028(a,1,1,2))]. 14790 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(13(a,1),14789(a,1,1))]. 14792 L(x,K(y \ x,z),x) = x. [para(14790(a,1),8959(a,1))]. 14793 L(x,K(y,z),x) = x. [para(59(a,1),14792(a,1,2,1))]. 14796 R(x,K(y,z),x) = x. [para(14793(a,1),4442(a,1,1))]. 14797 T(K(x,y) * z,z) = z * K(x,y). [para(14793(a,1),10101(a,1)),flip(a)]. 14798 (x \ y) / T(x \ y,K(y,z)) = K(x,x * K(y,z)). [para(14796(a,1),10230(a,1,1,1))]. 14799 (K(x,y) * z) * z = z * (z * K(x,y)). [para(14797(a,1),104(a,1,2)),flip(a)]. 14800 (x * (K(y,z) * x)) * K(y,K(z,x)) = (K(y,z) * x) * x. [para(14799(a,2),9345(a,2))]. 14801 K(K(x,y),z \ x) = K(z,z * K(x,y)). [para(14798(a,1),5157(a,2))]. 14802 K(x,K(y,z \ x)) = K(z,z * K(x,y)). [para(14801(a,1),8418(a,1)),flip(a)]. 14803 K(x,x * K(y,z)) = K(x,K(y,z)). [para(14802(a,1),10216(a,1))]. 14804 K(K(x,y) * z,z) = K(x,K(y,z)). [hyper(187,a,14800,a)]. 14805 K(K(x,y) * z,z) = K(z,K(y,x)). [para(14804(a,2),8413(a,1))]. 14806 K(x * K(y,z),x) = K(x,K(z,y)). [para(14805(a,1),5920(a,1)),flip(a)]. 14807 L(a(x,(y \ z) \ u,x),u,y) = a(x,z \ (y * u),x). [para(14(a,1),14764(a,1,2))]. 14808 L(a(x,((y * z) \ (z * (T(y,z) * u))) \ u,x),u,y * z) = a(x,a(z,T(y,z),u),x). [para(135(a,1),14807(a,2,2))]. 14809 R(K(x * y,y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). [para(10711(a,1),14781(a,1,1))]. 14810 R(K(x * y,y),x,z) = K(x * (y * K(z,y)),y). [para(5171(a,1),14809(a,2,2))]. 14812 R(K(x * y,y),x,z) = K(x * y,y). [para(14810(a,2),10711(a,1))]. 14813 R(K(x * y,x),y,z) = K(y * x,x). [para(5920(a,1),14812(a,1,1))]. 14815 ((K(x * R(y,y \ z,u),x) * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = K(R(y,y \ z,u) * x,x). [para(14813(a,1),1108(a,2))]. 14816 a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,a(y,z,u),x). [para(24(a,2),14747(a,2,2))]. 14817 L(a(x,L(y,z,u) \ y,x),y,z * u) = a(x,a(u,T(z,u),y),x). [para(13782(a,2),14808(a,1,1,2,1))]. 14818 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(9081(a,1),14768(a,1,2)),flip(a)]. 14819 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [para(14818(a,2),5509(a,1))]. 14820 L(x,y / z,x) = L(x,z \ y,x). [para(14819(a,1),14291(a,1))]. 14821 L(x,(y \ z) \ z,x) = L(x,y,x). [para(57(a,1),14820(a,1,2)),flip(a)]. 14822 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(3855(a,2),14820(a,1,2))]. 14823 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(5366(a,2),14820(a,1,2))]. 14826 L(x,y * K(z,y),x) = L(x,y,x). [para(5936(a,1),14821(a,1,2)),flip(a)]. 14827 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5767(a,1),14826(a,1,2))]. 14831 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [para(14823(a,1),14827(a,1))]. 14834 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(24(a,2),14822(a,2,2))]. 14835 ((R(x,x \ y,z) * K(u * R(x,x \ y,z),u)) * ((x \ y) * z)) / (y * z) = K(R(x,x \ y,z) * u,u). [para(7984(a,1),14815(a,1,1,1))]. 14836 (R(x * K(x * y,y),x \ z,u) * ((x \ z) * u)) / (z * u) = K(R(x,x \ z,u) * y,y). [para(8206(a,1),14835(a,1,1,1))]. 14837 (((x * K(x * y,y)) * (x \ z)) * u) / (z * u) = K(R(x,x \ z,u) * y,y). [para(100(a,1),14836(a,1,1))]. 14838 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(12426(a,1),14751(a,1,1))]. 14840 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(14536(a,1),14838(a,1,1))]. 14841 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),14840(a,1,1,1))]. 14842 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),14841(a,1,1,3)),flip(a)]. 14843 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6528(a,1),14842(a,2,2))]. 14844 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(13(a,1),14843(a,2,2,2))]. 14845 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(5321(a,1),14844(a,2,2))]. 14846 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [para(14845(a,2),12380(a,1))]. 14847 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [para(14846(a,1),6528(a,1)),flip(a)]. 14848 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(13(a,1),14847(a,1,2))]. 14849 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [para(14848(a,1),6621(a,1)),flip(a)]. 14850 K(((x * y) \ x) \ z,y) = K(y * z,y). [para(14849(a,1),9834(a,1)),flip(a)]. 14851 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(14(a,1),14850(a,2,1))]. 14853 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [para(14851(a,1),12012(a,1))]. 14854 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [para(14853(a,1),6617(a,1)),flip(a)]. 14856 K(x * ((y * z) \ y),z) = K(z \ x,z). [para(14854(a,1),6890(a,1)),flip(a)]. 14857 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(14(a,1),14856(a,1,1,2,1)),flip(a)]. 14858 K(x * ((y * z) \ z),y) = K(y \ x,y). [para(14856(a,1),10836(a,2))]. 14860 K((x / y) \ z,x / y) = K(z * (x \ y),x / y). [para(16(a,1),14858(a,1,1,2,1)),flip(a)]. 14861 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(14858(a,1),14182(a,1,1,1,2))]. 14863 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [para(14857(a,2),13444(a,2)),flip(a)]. 14864 K((x / y) \ z,x / y) = K(z * (y / x),x / y). [para(14860(a,2),13445(a,2)),flip(a)]. 14865 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = (x * K(u * (x / y),x \ y)) \ y. [para(14863(a,1),7881(a,2,1,2))]. 14866 K((x \ y) \ z,y / x) = K(z * (x / y),y / x). [para(14864(a,1),7314(a,1)),flip(a)]. 14867 K(x / (y \ z),z / y) = K(x * (y / z),z / y). [para(14866(a,1),8697(a,2))]. 14868 1 / (((x / y) \ 1) \ K(z * (x / y),y / x)) = T((x / y) \ 1,(x \ y) \ z). [para(14867(a,1),10412(a,1,2,2))]. 14869 1 / (T((x / y) \ 1,z * (x / y)) \ 1) = T((x / y) \ 1,(x \ y) \ z). [para(5845(a,1),14868(a,1,2))]. 14870 T((x / y) \ 1,(x \ y) \ z) = T((x / y) \ 1,z * (x / y)). [para(14869(a,1),57(a,1))]. 14872 ((x / y) * T((x / y) \ 1,z * (x / y))) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(14870(a,1),10330(a,1,1,2))]. 14873 K((x / y) \ 1,z * (x / y)) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(5168(a,1),14872(a,1,1))]. 14874 K(x / (y \ z),(y / z) \ 1) = K(z / y,x * (y / z)) \ 1. [para(5830(a,1),14873(a,1,1)),flip(a)]. 14875 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = T(x \ y,u * (x / y)). [para(14865(a,2),7850(a,1))]. 14876 T(x \ y,z * (x / y)) = ((x \ y) \ z) \ z. [para(14875(a,1),3771(a,1))]. 14877 ((((x \ y) \ z) \ z) * u) \ ((x \ y) * u) = K(z * (x / y),T(x \ y,u)). [para(14876(a,1),7793(a,1,1,1))]. 14878 T(x \ y,T((x \ y) \ z,u)) = T(x \ y,T(z,u) * (x / y)). [para(14876(a,2),14057(a,2))]. 14879 K((x \ y) \ z,T(x \ y,u)) = K(z * (x / y),T(x \ y,u)). [para(14877(a,1),7858(a,1)),flip(a)]. 14880 (x * K(y * (x / z),T(x \ z,u))) \ z = T(x \ z,T((x \ z) \ y,u)). [para(14879(a,1),8822(a,1,1,2))]. 14881 T(x \ y,T((x \ y) \ z,u)) = T(x \ y,T(z * (x / y),u)). [para(14880(a,1),8822(a,1))]. 14882 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z,u) * (x / y)). [para(14881(a,1),14878(a,1))]. 14883 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(185(a,1),14861(a,1,1,1))]. 14885 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(9234(a,1),14883(a,1,1))]. 14886 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(103(a,1),14885(a,1,2,2,2))]. 14887 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(9957(a,1),14886(a,1,2))]. 14888 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(3649(a,1),14887(a,1,2))]. 14889 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [para(14888(a,1),14042(a,1)),flip(a)]. 14890 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [para(14889(a,1),11637(a,1)),flip(a)]. 14891 K(x,y * ((x * z) \ z)) = K(x,T(x \ y,1)). [para(49(a,1),14890(a,1,2,2)),flip(a)]. 14893 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(1615(a,1),14891(a,2,2))]. 14894 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [para(14893(a,1),13492(a,2))]. 14895 K(x,y * (z / (x * z))) = K(x,x \ y). [para(14894(a,1),7668(a,1)),flip(a)]. 14897 K(x / y,(x / y) \ z) = K(x / y,z * (y / x)). [para(16(a,1),14895(a,1,2,2,2)),flip(a)]. 14898 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [para(14895(a,1),8707(a,1))]. 14900 K(x / y,z * (y / x)) = K(y \ x,y / (x / z)). [para(14897(a,1),14229(a,1))]. 14901 K(x \ y,(x \ y) \ z) = K(x \ y,z * (y \ x)). [para(14898(a,2),13447(a,1))]. 14903 K(x / y,z * (x \ y)) = K(y \ x,y / (x / z)). [para(14900(a,1),13478(a,1)),flip(a)]. 14904 K(x / (y \ z),(y / z) \ 1) = K(y \ z,y / (z / x)) \ 1. [para(14900(a,1),14874(a,2,1))]. 14905 K(x \ y,z * (y \ x)) * (x \ y) = T(x \ y,z / (x \ y)). [para(14901(a,1),5293(a,1,1))]. 14906 K((x * K(x \ L(y,z,u),x / (L(y,z,u) / w))) \ L(y,z,u),y) = K(x \ L(y,z,u),T(y,w)). [para(14903(a,1),14495(a,1,1,1,2))]. 14907 K(x / (y \ z),(y / z) \ 1) = K(y / (z / x),y \ z) * 1. [para(14904(a,2),5336(a,1))]. 14908 T(x \ y,z / (x \ y)) = T(x \ y,z * (y \ x)). [para(14905(a,1),5214(a,2)),flip(a)]. 14909 T(x \ y,(x \ y) \ z) = T(x \ y,z * (y \ x)). [para(14908(a,1),4285(a,1)),flip(a)]. 14910 T(x \ y,z * (y \ x)) = ((x \ y) \ z) \ z. [para(14909(a,1),105(a,1))]. 14911 K(T(x \ y,z * (y \ x)),u) = K(x \ y,T(u,z)). [para(14910(a,2),8817(a,1,1))]. 14912 T(x \ y,z * (x / y)) = T(x \ y,z * (y \ x)). [para(14910(a,2),14876(a,2))]. 14913 (x * T(y \ z,u * (z \ y))) / T(x,y \ z) = T(y \ z,T(u * (y / z),x)). [para(14912(a,1),9078(a,1,1,2))]. 14914 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z,u) * (y \ x)). [para(14912(a,1),14882(a,2))]. 14915 K(x / (y \ z),(y / z) \ 1) = K((z / x) \ y,z / y) * 1. [para(8905(a,1),14907(a,2,1))]. 14916 K(x / (y \ z),z / y) = K((z / x) \ y,z / y). [hyper(5849,a,14915,a)]. 14917 K((x / y) \ z,x / z) = K(y * (z / x),x / z). [para(14916(a,1),14867(a,1))]. 14918 K((x / y) \ z,x / z) = K(y * (x \ z),x / z). [para(14917(a,2),13445(a,1))]. 14919 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z * (y \ x),u)). [para(14913(a,1),9078(a,1))]. 14920 T(x \ y,T(z * (y \ x),u)) = T(x \ y,T(z,u) * (y \ x)). [para(14919(a,1),14914(a,1))]. 14921 K(T(x \ y,T(z * (y \ x),u)),w) = K(x \ y,T(w,T(z,u))). [para(14920(a,2),14911(a,1,1))]. 14922 K(x \ y,T(z,T(u * (y \ x),w))) = K(x \ y,T(z,T(u,w))). [para(14921(a,1),8800(a,1)),flip(a)]. 14923 K((x \ L(y,z,u)) * K(x / (L(y,z,u) / w),x \ L(y,z,u)),y) = K(x \ L(y,z,u),T(y,w)). [para(6503(a,1),14906(a,1,1))]. 14924 K((x \ L(y,z,u)) * K((L(y,z,u) / w) \ x,L(y,z,u) / x),y) = K(x \ L(y,z,u),T(y,w)). [para(8905(a,1),14923(a,1,1,2))]. 14925 K((x \ L(y,z,u)) * K(w * (L(y,z,u) \ x),L(y,z,u) / x),y) = K(x \ L(y,z,u),T(y,w)). [para(14918(a,1),14924(a,1,1,2))]. 14926 K(x \ L(y,z,u),T(y,T(w * (L(y,z,u) \ x),x))) = K(x \ L(y,z,u),T(y,w)). [para(14925(a,1),8879(a,1)),flip(a)]. 14927 K(x \ L(y,z,u),T(y,T(w,x))) = K(x \ L(y,z,u),T(y,w)). [para(14926(a,1),14922(a,1)),flip(a)]. 14928 K(x \ L(y,z,u),T(y,w * x)) = K(x \ L(y,z,u),T(y,w)). [para(14927(a,1),11737(a,1)),flip(a)]. 14929 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(z,u,w),T(z,x)). [para(14928(a,1),13691(a,2))]. 14930 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * L(T(z,x * y),u,w)) = K(y \ L(z,u,w),T(z,x)). [para(14(a,1),14929(a,1,2,2))]. 14932 K((x * L(T(y,x * z),u,w)) / (x * z),y) = K(z \ L(y,u,w),T(y,x)). [para(14930(a,1),6748(a,1)),flip(a)]. 14933 K(((x * y) / x) \ L(z,u,w),z) = K(y \ L(z,u,w),T(z,x)). [para(14932(a,1),11941(a,1)),flip(a)]. 14934 K(L(x,y,z) * (u \ K(u,w)),x) = K(u \ L(x,y,z),T(x,w)). [para(14933(a,1),10953(a,1)),flip(a)]. 14935 K(x \ L(y,z,u),T(y,w)) = K(y * (x \ K(x,w)),y). [para(14934(a,1),14441(a,1))]. 14936 K(x \ L(y,z,u),T(y,w)) = K(x \ y,T(y,w)). [para(14935(a,2),13014(a,1))]. 14938 K((x / y) \ z,T(z,y)) = K(x \ (L(z,u,w) * y),z). [para(14936(a,1),11510(a,1))]. 14939 K(x \ (L(y,z,u) * w),y) = K(y * (x \ w),y). [para(14938(a,1),14267(a,1))]. 14941 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(14939(a,1),11961(a,1)),flip(a)]. 14942 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [para(14941(a,1),9303(a,1)),flip(a)]. 14944 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [para(14942(a,2),14272(a,1))]. 14945 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [para(14944(a,1),14326(a,1)),flip(a)]. 14946 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(28(a,2),14945(a,2,1))]. 14947 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [para(14946(a,1),11920(a,1))]. 14948 L(K(x,y),z,u) = K(x,L(y,z,u)). [para(14947(a,1),9422(a,1)),flip(a)]. 14949 K(x,L((y \ 1) \ z,y \ 1,y)) = y * (T(z / (y \ 1),x) \ z). [para(14948(a,1),7887(a,1))]. 14950 T(x,y) * ((x \ y) * K(y,L(x,z,u))) = y * a(u,z,K(x,y)). [para(14948(a,1),13888(a,1,2,2))]. 14951 T(x * y,x) / T(x * (K(x,L(z,u,w)) * y),x) = L(K(z,x),u,w). [para(14948(a,1),14384(a,1,2,1,2,1))]. 14952 T(x,y) * (x \ T(y,L(x,z,u))) = y * a(u,z,K(x,y)). [para(11680(a,1),14950(a,1,2))]. 14953 K(x,y) * T(y,L(x,z,u)) = y * a(u,z,K(x,y)). [para(14952(a,1),5175(a,1)),flip(a)]. 14954 x * (T(y / (x \ 1),z) \ y) = K(z,x * y). [para(323(a,1),14949(a,1,2)),flip(a)]. 14955 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(1 / x) * y))). [para(14954(a,1),11342(a,1,2,2,2)),flip(a)]. 14956 T(x * y,x) / T(T(x,L(z,u,w)) * y,x) = L(K(z,x),u,w). [para(5174(a,1),14951(a,1,2,1))]. 14957 L(K(x,y),z,u) = K(L(x,z,u),y). [para(14956(a,1),7339(a,1))]. 14958 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(14957(a,1),11039(a,1,2))]. 14959 K(L(x,y,z),u) = K(x,L(u,y,z)). [para(14957(a,1),14948(a,1))]. 14960 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(323(a,1),14959(a,1,1)),flip(a)]. 14961 K(x,y) * (x \ K(z,L(x,u,w))) = T(x,L(z,u,w)) \ K(x,y). [para(14959(a,1),5816(a,1,2,2))]. 14962 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [para(14958(a,1),11046(a,1)),flip(a)]. 14963 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(14962(a,1),11373(a,2,2))]. 14964 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(323(a,1),14960(a,1,2))]. 14965 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(14(a,1),14964(a,1,2)),flip(a)]. 14966 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(14(a,1),14965(a,1,1)),flip(a)]. 14967 K(((x \ 1) \ 1) \ ((x \ 1) \ y),z) = K(y,((1 / x) \ 1) \ ((x \ 1) \ z)). [para(14966(a,2),7238(a,2)),flip(a)]. 14968 T(x,y) / T(x / T(y,x),L(y,z,u)) = y * a(u,z,K(y \ T(x,y),y)). [para(4330(a,1),14963(a,1,2,1))]. 14969 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = (K(x,y) \ 1) / ((K(x,y) \ 1) * (T(x,L(z,u,w)) \ K(x,y))). [para(14961(a,1),7705(a,1,2,2)),flip(a)]. 14970 K(x,((1 / y) \ 1) \ ((y \ 1) \ z)) = K(y \ ((y \ 1) \ x),z). [para(14967(a,1),6615(a,1))]. 14971 K(x \ ((x \ 1) \ y),z) = K(y,x \ ((x \ 1) \ z)). [para(59(a,1),14970(a,1,2,1)),flip(a)]. 14972 T(x,y) / (y \ T(x,L(y,z,u))) = y * a(u,z,K(y \ T(x,y),y)). [para(14649(a,1),14968(a,1,2))]. 14973 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(x \ 1) * y))). [para(7214(a,1),14955(a,2,2,2,2))]. 14974 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). [para(2127(a,1),14973(a,2,2))]. 14975 x * (1 / (1 / (x \ (T(y / x,z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). [para(59(a,1),14974(a,1,2,2,2,2,1,1,2))]. 14976 (1 / x) \ K(y,(x \ 1) * z) = x * (1 / (1 / K(y,x \ z))). [para(7885(a,1),14975(a,1,2,2,2)),flip(a)]. 14977 (1 / x) \ K(y,(x \ 1) * z) = x * K(y,x \ z). [para(2127(a,1),14976(a,2,2))]. 14978 x * K(y,x \ ((x \ 1) \ z)) = (1 / x) \ K(y,z). [para(14(a,1),14977(a,1,2,2)),flip(a)]. 14979 K(x,y \ ((y \ 1) \ z)) = y \ ((1 / y) \ K(x,z)). [hyper(68,a,14978,a),flip(a)]. 14980 K(x \ ((x \ 1) \ y),z) = ((1 / x) \ K(z,y)) \ x. [para(14978(a,1),7769(a,1,1)),flip(a)]. 14981 K(x,y \ ((y \ 1) \ z)) = ((1 / y) \ K(z,x)) \ y. [para(14980(a,1),14971(a,1)),flip(a)]. 14982 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / ((K(x,y) \ 1) * (T(x,L(z,u,w)) \ K(x,y))). [para(5332(a,1),14969(a,2,1))]. 14983 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / (K(y,x) * (T(x,L(z,u,w)) \ K(x,y))). [para(5332(a,1),14982(a,2,2,1))]. 14984 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / (T(x,L(z,u,w)) \ 1). [para(10327(a,1),14983(a,2,2))]. 14985 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) * T(x,L(z,u,w)). [para(14984(a,2),4640(a,1))]. 14987 K(x,y) / L(y \ K(z,L(y,u,w)),K(y,x),K(y,x) \ 1) = K(x,y) * T(y,L(z,u,w)). [para(5344(a,1),14985(a,1,1))]. 14988 K(x,y) / L(y \ K(z,L(y,u,w)),K(y,x),K(x,y)) = K(x,y) * T(y,L(z,u,w)). [para(5332(a,1),14987(a,1,2,3))]. 14989 K(x,y) / (y \ K(z,L(y,u,w))) = K(x,y) * T(y,L(z,u,w)). [para(5335(a,1),14988(a,1,2))]. 14993 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = K(y,u) * L(K(u,y),z,x). [para(14659(a,2),11264(a,1))]. 14994 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = a(x,z,K(y,u)). [para(14993(a,2),11039(a,1))]. 14996 a(x * y,z,K(y,u)) = a(x,z,K(y,u)). [para(14994(a,1),3737(a,1)),flip(a)]. 14997 a(x * y,z,K(u,y)) = (w * a(x,z,K(y,u))) \ w. [para(14996(a,1),12152(a,1,1,2)),flip(a)]. 14998 a(x * y,z,K(u,y)) = a(x,z,K(u,y)). [para(14997(a,2),12152(a,1))]. 14999 a(x,y,K(x * z,z)) = 1. [para(14998(a,1),8995(a,1))]. 15000 L(K(x * y,y),z,x) = K(x * y,y). [hyper(33,a,14999,a)]. 15001 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(15000(a,1),7991(a,2,1))]. 15002 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(11143(a,1),15001(a,1,2,2))]. 15003 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [para(7967(a,1),15002(a,1,2)),flip(a)]. 15004 x * (K(x * y,y) * (x \ z)) = K(x * y,y) * z. [para(14(a,1),15003(a,1,2)),flip(a)]. 15005 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(15003(a,1),12709(a,1))]. 15006 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(12688(a,1),15005(a,1,2)),flip(a)]. 15007 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [para(14(a,1),15006(a,1,2)),flip(a)]. 15008 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [para(15006(a,1),14616(a,2))]. 15009 L(x,a(y,z,y),z) = x. [hyper(306,a,15008,a)]. 15010 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(15008(a,1),14664(a,1,1,1))]. 15011 L(x,K(y,z),z \ y) = x. [para(15009(a,1),12849(a,1)),flip(a)]. 15012 L(x,K(y,z),y / z) = x. [para(15011(a,1),8273(a,2))]. 15013 L(x,K(y * z,z),y) = x. [para(15(a,1),15012(a,1,3))]. 15014 (x * K(x * y,y)) * z = x * (K(x * y,y) * z). [para(15013(a,1),89(a,1,2))]. 15015 ((x * (K(x * y,y) * (x \ z))) * u) / (z * u) = K(R(x,x \ z,u) * y,y). [para(15014(a,1),14837(a,1,1,1))]. 15016 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(14(a,1),15010(a,1,2,1))]. 15017 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(15007(a,1),15016(a,1,1,1)),flip(a)]. 15018 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [para(15017(a,2),30(a,2)),flip(a)]. 15019 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(13(a,1),15018(a,1,2,2)),flip(a)]. 15020 a(x,R(y,z,u),x) = a(x,y,x). [para(15019(a,1),14593(a,1))]. 15021 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(15020(a,1),12394(a,1,1)),flip(a)]. 15023 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [para(15020(a,1),14756(a,1)),flip(a)]. 15024 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(15020(a,1),14758(a,2,2,1))]. 15025 a(x,y \ R(y,z,u),x) = a(x,a(y,z,u),x). [para(15020(a,1),14816(a,1))]. 15026 a(x,y * (z \ 1),x) = a(x,z \ y,x). [para(109(a,1),15023(a,1,2))]. 15028 (K(x,y) * (z \ 1)) * a(z,z \ K(x,y),z) = L(K(x,y),z \ 1,z) / z. [para(15026(a,1),12388(a,1,2))]. 15029 a(x,(y * K(z,y)) \ (((z * y) * u) / (z * u)),x) = a(x,a(y * K(z,y),z,u),x). [para(5366(a,1),15025(a,1,2,2))]. 15031 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [para(15021(a,2),12394(a,1))]. 15032 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(15031(a,1),13031(a,1,2))]. 15033 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [para(15024(a,2),12704(a,1))]. 15035 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [para(15033(a,1),14831(a,1)),flip(a)]. 15036 L(x,R(y,z,u),x) = L(x,y,x). [para(13(a,1),15035(a,2,2))]. 15042 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [para(15036(a,1),14834(a,1))]. 15044 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(518(a,1),15032(a,1,2)),flip(a)]. 15046 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(15044(a,1),5157(a,2,2)),flip(a)]. 15047 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [para(15046(a,1),12954(a,1)),flip(a)]. 15048 K(x,y) * (L(z,z \ K(x,y),z) \ 1) = L(K(x,y),z \ 1,z) / z. [para(15028(a,1),14663(a,1)),flip(a)]. 15049 K(x,y) * (L(z,z \ K(x,y),z) \ 1) = K(x,L(y,z \ 1,z)) / z. [para(14948(a,1),15048(a,2,1))]. 15050 L(x,x \ K(y,z),x) \ 1 = 1 / x. [hyper(17,a,14185,a(flip),b,15049,a)]. 15051 x \ K(x,x \ K(y,z)) = T(1 / x,K(y,z)). [para(15050(a,1),10353(a,1,1)),flip(a)]. 15054 K(R(x,x \ y,z) * u,u) = ((K(x * u,u) * y) * z) / (y * z). [para(15004(a,1),15015(a,1,1,1)),flip(a)]. 15055 K(R(x,x \ y,z) * u,u) = R(K(x * u,u),y,z). [para(15054(a,2),30(a,2)),flip(a)]. 15056 K(x * R(y,y \ z,u),x) = R(K(y * x,x),z,u). [para(15055(a,1),5920(a,1)),flip(a)]. 15057 K(x * R(y,y \ z,u),x) = R(K(x * y,x),z,u). [para(5920(a,1),15056(a,2,1))]. 15058 K(x * ((y * z) / ((u \ y) * z)),x) = R(K(x * u,x),y,z). [para(98(a,1),15057(a,1,1,2))]. 15059 K(x * ((y * z) / ((T(u,u \ 1) * y) * z)),x) = R(K(x * R(u \ 1,u,y),x),y,z). [para(2768(a,1),15058(a,1,1,2,2,1))]. 15060 a(x,a(y * K(z,y),z,u),x) = a(x,y \ R(y,z,u),x). [para(14001(a,1),15029(a,1,2)),flip(a)]. 15061 a(x,a(y * K(z,y),z,u),x) = a(x,a(y,z,u),x). [para(15060(a,2),15025(a,1))]. 15062 a(x,a(y,T(z,y),u),x) = a(x,a(y,z,u),x). [para(6154(a,1),15061(a,1,2))]. 15063 L(a(x,L(y,z,u) \ y,x),y,z * u) = a(x,a(u,z,y),x). [para(15062(a,1),14817(a,2))]. 15064 R(K(x * R(y \ 1,y,z),x),z,u) = K(R(T(y,y \ 1),z,u) \ x,x). [para(15059(a,1),14728(a,1))]. 15065 R(K(x * R(y \ 1,y,z),x),z,u) = K(R(y,z,u) \ x,x). [para(15064(a,2),6643(a,1))]. 15066 R(K(x \ y,y),z,u) = K(R(x,z,u) \ y,y). [para(14771(a,1),15065(a,1,1))]. 15067 x / (x / K(R(y,z,u) \ w,w)) = R(K(y \ w,T(w,x)),z,u). [para(15066(a,1),10013(a,1,2,2))]. 15070 R(K(x \ y,T(y,z)),u,w) = K(R(x,u,w) \ y,T(y,z)). [para(15067(a,1),8744(a,1))]. 15071 (x * K(R(y,z,u) \ w,T(w,v5))) \ x = R(K(T(w,v5),y \ w),z,u). [para(15070(a,1),7955(a,1,1,2))]. 15072 R(K(T(x,y),z \ x),u,w) = K(x,T(R(z,u,w) \ x,y)). [para(15071(a,1),8819(a,1))]. 15073 R(K(x,T(y \ x,z)),u,w) = K(x,T(R(y,u,w) \ x,z)). [para(8800(a,1),15072(a,1,1))]. 15074 K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,T(y \ x,K(R(y,z,u),w))),z,u). [para(15073(a,2),9849(a,2))]. 15075 K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). [para(13467(a,1),15074(a,2,1))]. 15076 1 * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). [para(3091(a,1),15075(a,1,1))]. 15079 1 * K(x,R(y,z,u) \ x) = R(K(x,y \ x),z,u). [para(6582(a,1),15076(a,1,2))]. 15080 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [hyper(64,a,15079,a),flip(a)]. 15082 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(6585(a,1),15080(a,1,1)),flip(a)]. 15083 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(13904(a,1),15080(a,1,1))]. 15084 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(15082(a,1),15083(a,1,1)),flip(a)]. 15085 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [para(15084(a,1),14760(a,1))]. 15086 R(K(x,y),z,u) = K(R(x,z,u),y). [para(4645(a,1),15085(a,1,1))]. 15089 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(15086(a,1),7959(a,1,1,1,2))]. 15090 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [para(15089(a,1),12828(a,1)),flip(a)]. 15091 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [para(49(a,1),15090(a,1,2))]. 15092 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(71,a,15091,a),flip(a)]. 15096 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(15092(a,1),12852(a,1,1,2))]. 15097 R(K(x,y),z,(K(x,u) * z) \ 1) = K(x,L(y,z,z \ 1)). [para(15092(a,2),14174(a,1))]. 15098 x / (K(y,L(z,u,u \ 1)) * x) = u * ((K(y,z) * u) \ 1). [para(15097(a,1),6980(a,1,2,1))]. 15099 x * ((K(y,z) * x) \ 1) = K(L(z,x,x \ 1),y). [para(15098(a,1),5438(a,1))]. 15101 x * ((K(y,z) * x) \ 1) = K(z,L(y,x,x \ 1)). [para(15099(a,2),14959(a,1))]. 15102 x \ K(y,L(z,x,x \ 1)) = (K(z,y) * x) \ 1. [hyper(68,a,15101,a)]. 15103 K(x,((K(y,x) * (z \ 1)) \ 1) \ u) = K(x,z \ u). [para(15102(a,1),7964(a,1,2,1))]. 15104 K(x,(((y \ 1) * K(z,x)) \ 1) \ u) = K(x,y \ u). [para(8748(a,1),15103(a,1,2,1,1))]. 15105 K(x,((y * K(z,x)) \ 1) \ u) = K(x,(y \ 1) \ u). [para(15104(a,1),7264(a,1)),flip(a)]. 15106 K(x,((T(y,x) / z) \ 1) \ u) = K(x,((y / z) \ 1) \ u). [para(968(a,1),15105(a,1,2,1,1))]. 15107 K(x,((y \ T(z,x)) \ 1) \ u) = K(x,((y \ z) \ 1) \ u). [para(5791(a,1),15105(a,1,2,1,1))]. 15108 K(x,((y / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [para(15106(a,1),11707(a,1))]. 15109 (T(x,y) / z) \ x = z * K(y,((x / z) \ 1) \ z). [para(15108(a,2),14(a,1,2)),flip(a)]. 15110 ((K(x,((y / z) \ 1) \ z) \ ((T(y,x) / z) \ y)) / ((T(y,x) / z) \ y)) \ (T(z \ ((T(y,x) / z) \ y),z) \ ((T(y,x) / z) \ y)) = z * (((T(y,x) / z) \ y) / z). [para(15108(a,2),4779(a,1,1,1,1))]. 15111 (x \ ((T(y,z) / x) \ y)) \ 1 = K(((y / x) \ 1) \ x,z). [para(15108(a,1),5332(a,1,1))]. 15112 ((T(x,y) / z) \ x) / ((z \ ((T(x,y) / z) \ x)) \ T((T(x,y) / z) \ x,z)) = K(z,(T(x,y) / z) \ x) * K(y,((x / z) \ 1) \ z). [para(15108(a,2),6380(a,2,2))]. 15113 T(x \ ((T(y,z) / x) \ y),x) = K(z,x / ((y / x) \ 1)). [para(15108(a,1),8558(a,1,1))]. 15114 ((x \ ((T(y,z) / x) \ y)) \ 1) * (K(z,((y / x) \ 1) \ x) * x) = ((((T(y,z) / x) \ y) / x) \ 1) * ((T(y,z) / x) \ y). [para(15108(a,2),13954(a,1,2,1))]. 15115 ((T(x,y) / z) \ x) * (T((((T(x,y) / z) \ x) \ z) \ 1,z) \ 1) = ((K(y,((x / z) \ 1) \ z) \ 1) \ 1) \ ((T(x,y) / z) \ x). [para(15108(a,2),14209(a,2,1,1,1))]. 15116 K(x,((y \ z) \ 1) \ y) = y \ (z / (y \ T(z,x))). [para(15107(a,1),11706(a,1))]. 15117 (x \ (y / (x \ T(y,z)))) \ 1 = K(((x \ y) \ 1) \ x,z). [para(15116(a,1),5332(a,1,1))]. 15118 1 / (x \ (y / (x \ T(y,z)))) = K(((x \ y) \ 1) \ x,z). [para(15116(a,1),5344(a,1,2))]. 15119 (T(x,y) / (z \ x)) \ z = z \ (x / (z \ T(x,y))). [para(15116(a,1),7798(a,1)),flip(a)]. 15120 ((T(x,y) / z) \ x) * (1 / (((T(x,y) / z) \ x) / z)) = (z * (K(((x / z) \ 1) \ z,y) \ 1)) * ((((T(x,y) / z) \ x) / z) \ 1). [para(15111(a,1),3330(a,1,1,2,1)),flip(a)]. 15121 T(x \ ((T(y,z) / x) \ y),x) = K(z,((x \ y) \ 1) \ x). [para(15113(a,2),14205(a,1))]. 15122 T((((T(x,y) / z) \ x) \ z) \ 1,z) = K(y,((z \ x) \ 1) \ z). [para(8261(a,2),15121(a,1,1))]. 15123 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(15096(a,1),12802(a,1))]. 15124 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(15123(a,2),13187(a,1))]. 15125 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [para(15124(a,2),12776(a,1))]. 15126 K(a(K(x,y),z,u),K(y,x) \ (z * u)) = 1. [para(15125(a,1),6520(a,1)),flip(a)]. 15128 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [para(5336(a,1),15126(a,1,2))]. 15129 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(15128(a,1),5316(a,1,1))]. 15130 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(12843(a,1),15129(a,1,2))]. 15131 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(64,a,15130,a)]. 15132 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(8475(a,1),15130(a,1,2,1))]. 15133 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5452,a,15131,a)]. 15134 R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). [para(15131(a,1),2118(a,2))]. 15135 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6942(a,1),15131(a,1,2))]. 15137 (x * K(y,z)) * R(K(z,y),u,w) = x * a(K(z,y),u,w). [para(15131(a,1),9477(a,2,2))]. 15138 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9872(a,1),15131(a,1,2))]. 15139 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(15131(a,1),12162(a,1,1,2))]. 15140 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(15131(a,1),12781(a,2,2))]. 15141 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(15131(a,1),13233(a,1,3))]. 15142 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(15141(a,1),89(a,1,2))]. 15143 (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(15133(a,1),10108(a,1,1)),flip(a)]. 15144 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [para(15134(a,1),9931(a,2,2))]. 15145 T(x,R(y,z,u)) * K(y,x) = x * a(K(x,y),z * y,u). [para(15138(a,1),5512(a,1,2)),flip(a)]. 15146 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(15138(a,1),15047(a,1,1))]. 15147 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = y * a(K(y,z),u,w). [para(15137(a,1),8392(a,2))]. 15148 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(15131(a,1),15139(a,1,2))]. 15150 (x * a(K(y,z),u,w)) \ x = a(K(z,y),u,w). [hyper(68,a,15148,a)]. 15152 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [para(193(a,2),15150(a,1,1))]. 15153 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z * y,u). [para(15145(a,1),7633(a,2))]. 15154 T(x * K(y,x),R(y,z,u)) != x * w | a(K(x,y),z * y,u) = w. [para(15153(a,2),19(a,1))]. 15155 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(15135(a,1),12883(a,1)),flip(a)]. 15156 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [para(15135(a,2),14686(a,1))]. 15157 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(10247(a,1),15132(a,1,2,2))]. 15158 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(12815(a,1),15157(a,1,2))]. 15159 (x * K(y,z)) \ ((x * R(K(y,z),u,w)) * y) = y * a(K(y,z),u,w). [para(13(a,1),15147(a,1,2,1,2,1))]. 15161 (x * K(y,z)) \ (x * (y * R(K(y,z),u,w))) = y * a(K(y,z),u,w). [para(6979(a,1),15159(a,1,2))]. 15162 (x / ((y * z) / y)) \ ((x / z) * (z * R(K(z,y),u,w))) = z * a(K(z,y),u,w). [para(6541(a,2),15161(a,1,1))]. 15163 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [para(15155(a,2),14691(a,1))]. 15164 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(15156(a,1),15163(a,1,1)),flip(a)]. 15165 (x / ((y * z) / y)) \ (x * R(K(z,y),u,w)) = z * a(K(z,y),u,w). [para(6566(a,1),15162(a,1,2))]. 15166 (x / ((y * z) / y)) \ (x * K(z,R(y,u,w))) = z * a(K(z,y),u,w). [para(15092(a,1),15165(a,1,2,2))]. 15167 K(x,y) * T(y,R(x,z,u)) = y * a(K(y,x),z,u). [para(15166(a,1),9647(a,1)),flip(a)]. 15168 T(K(x,y) * y,R(x,z,u)) = y * a(K(y,x),z,u). [para(15167(a,1),11410(a,2))]. 15169 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z,u). [para(3159(a,1),15168(a,1,1))]. 15170 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(15154,a,15169,a)]. 15171 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [para(15143(a,2),15144(a,1))]. 15172 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [para(15171(a,1),15142(a,1)),flip(a)]. 15173 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5352(a,1),15172(a,1,2))]. 15174 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(8560(a,1),15173(a,1,1,1)),flip(a)]. 15175 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(131,a,15174,a),flip(a)]. 15176 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [para(15175(a,2),15146(a,1)),flip(a)]. 15177 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(544(a,1),15176(a,2,1,2))]. 15178 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(16(a,1),15177(a,1,1))]. 15179 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(15177(a,1),4645(a,2))]. 15180 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(15178(a,1),9715(a,1)),flip(a)]. 15181 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [para(15180(a,1),14158(a,1)),flip(a)]. 15182 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(5322(a,1),15181(a,2,1))]. 15183 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [para(15182(a,2),14680(a,1))]. 15184 ((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(15183(a,1),6060(a,1)),flip(a)]. 15185 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [para(15183(a,1),6459(a,1)),flip(a)]. 15186 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(15177(a,1),15179(a,1,1))]. 15187 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [para(15186(a,1),15164(a,2))]. 15188 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [para(15187(a,1),14696(a,1)),flip(a)]. 15189 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(14697(a,1),15185(a,1,1))]. 15190 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(13(a,1),15189(a,1,2))]. 15192 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [para(15190(a,1),5141(a,2)),flip(a)]. 15193 (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(5108(a,1),15184(a,1,1))]. 15194 (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),15193(a,1,2,2))]. 15196 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(15042(a,1),15194(a,1,2))]. 15197 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(15196(a,1),5724(a,1)),flip(a)]. 15198 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(15192(a,2),15197(a,1,1))]. 15199 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [para(15198(a,1),12754(a,1)),flip(a)]. 15200 K(((x / y) \ 1) \ y,z) * (K(z,((x / y) \ 1) \ y) * y) = ((((T(x,z) / y) \ x) / y) \ 1) * ((T(x,z) / y) \ x). [para(15111(a,1),15114(a,1,1))]. 15201 ((((T(x,y) / z) \ x) / z) \ 1) * ((T(x,y) / z) \ x) = z. [para(15200(a,1),5352(a,1))]. 15202 ((K(x,((y / z) \ 1) \ z) \ 1) \ 1) \ ((T(y,x) / z) \ y) = ((T(y,x) / z) \ y) * (K(x,((z \ y) \ 1) \ z) \ 1). [para(15122(a,1),15115(a,1,2,1)),flip(a)]. 15203 ((K(x,((y / z) \ 1) \ z) \ 1) \ 1) \ ((T(y,x) / z) \ y) = ((T(y,x) / z) \ y) * K(((z \ y) \ 1) \ z,x). [para(5332(a,1),15202(a,2,2))]. 15204 ((T(x,y) / z) \ x) * (1 / (((T(x,y) / z) \ x) / z)) = (z * K(y,((x / z) \ 1) \ z)) * ((((T(x,y) / z) \ x) / z) \ 1). [para(5332(a,1),15120(a,2,1,2))]. 15205 ((T(x,y) / z) \ x) / R(z,T(x,y) \ x,z) = K(z,(T(x,y) / z) \ x) * K(y,((x / z) \ 1) \ z). [para(14347(a,1),15112(a,1,2))]. 15206 K(x,(T(y,z) / x) \ y) * K(z,((y / x) \ 1) \ x) = ((T(y,z) / x) \ y) / R(x,K(z,y),x). [para(5141(a,2),15205(a,1,2,2)),flip(a)]. 15207 K(x,(T(y,z) / x) \ y) * K(z,((y / x) \ 1) \ x) = ((T(y,z) / x) \ y) / x. [para(14796(a,1),15206(a,2,2))]. 15208 K(x,x * (T(y,z) \ y)) * K(z,((y / x) \ 1) \ x) = ((T(y,z) / x) \ y) / x. [para(14254(a,1),15207(a,1,1))]. 15209 K(x,x * K(y,z)) * K(y,((z / x) \ 1) \ x) = ((T(z,y) / x) \ z) / x. [para(5141(a,2),15208(a,1,1,2,2))]. 15210 K(x,K(y,z)) * K(y,((z / x) \ 1) \ x) = ((T(z,y) / x) \ z) / x. [para(14803(a,1),15209(a,1,1))]. 15211 K(x,K(y,z)) * K(y,((x / z) \ 1) \ z) = ((T(x,y) / z) \ x) / z. [para(8413(a,1),15210(a,1,1))]. 15212 K(x * (T(y,z) / y),x) * (x / (R(x,K(((x \ y) \ 1) \ x,z),x) * K(((x \ y) \ 1) \ x,z))) = x / (T(x,K(((x \ y) \ 1) \ x,z)) * K(((x \ y) \ 1) \ x,z)). [para(14730(a,1),10427(a,1,1))]. 15213 K(x * K(y,z),x) * (x / (R(x,K(((x \ y) \ 1) \ x,z),x) * K(((x \ y) \ 1) \ x,z))) = x / (T(x,K(((x \ y) \ 1) \ x,z)) * K(((x \ y) \ 1) \ x,z)). [para(5213(a,2),15212(a,1,1,1,2))]. 15214 K(x,K(y,z)) * (x / (R(x,K(((x \ z) \ 1) \ x,y),x) * K(((x \ z) \ 1) \ x,y))) = x / (T(x,K(((x \ z) \ 1) \ x,y)) * K(((x \ z) \ 1) \ x,y)). [para(14806(a,1),15213(a,1,1))]. 15215 K(x,K(y,z)) * (z / (R(z,K(((z \ x) \ 1) \ z,y),z) * K(((z \ x) \ 1) \ z,y))) = z / (T(z,K(((z \ x) \ 1) \ z,y)) * K(((z \ x) \ 1) \ z,y)). [para(8413(a,1),15214(a,1,1))]. 15216 x / (T(x,K(((x \ y) \ 1) \ x,z)) * K(((x \ y) \ 1) \ x,z)) = K(y,K(z,x)) * (x / (x * K(((x \ y) \ 1) \ x,z))). [para(14796(a,1),15215(a,1,2,2,1)),flip(a)]. 15217 x / (T(x,K(((x \ y) \ 1) \ x,z)) * K(((x \ y) \ 1) \ x,z)) = K(y,K(z,x)) * K(z,T(((x \ y) \ 1) \ x,x)). [para(8745(a,1),15216(a,2,2))]. 15218 x / (T(x,K(((x \ y) \ 1) \ x,z)) * K(((x \ y) \ 1) \ x,z)) = K(y,K(z,x)) * K(z,x / ((x \ y) \ 1)). [para(8576(a,1),15217(a,2,2))]. 15219 x / (T(x,K(((x \ y) \ 1) \ x,z)) * K(((x \ y) \ 1) \ x,z)) = K(y,K(z,x)) * K(z,((y / x) \ 1) \ x). [para(14169(a,1),15218(a,2,2))]. 15220 x / (T(x,K(y,((x \ z) \ 1) \ x)) * K(((x \ z) \ 1) \ x,y)) = K(z,K(y,x)) * K(y,((z / x) \ 1) \ x). [para(8502(a,1),15219(a,1,2,1))]. 15221 x / (T(x,K(y,(x \ z) \ 1)) * K(((x \ z) \ 1) \ x,y)) = K(z,K(y,x)) * K(y,((z / x) \ 1) \ x). [para(10299(a,1),15220(a,1,2,1))]. 15222 x / (T(x,K(y,z \ x)) * K(((x \ z) \ 1) \ x,y)) = K(z,K(y,x)) * K(y,((z / x) \ 1) \ x). [para(6520(a,1),15221(a,1,2,1,2))]. 15223 x / (T(x,K(y,z)) * K(((x \ y) \ 1) \ x,z)) = K(y,K(z,x)) * K(z,((y / x) \ 1) \ x). [para(10297(a,1),15222(a,1,2,1))]. 15224 x / T(x * K(((x \ y) \ 1) \ x,z),K(y,z)) = K(y,K(z,x)) * K(z,((y / x) \ 1) \ x). [para(9192(a,2),15223(a,1,2))]. 15225 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (a(z,u,z) * (K(z,z * u) * y)) \ (K(z,u) * (y * x)). [para(13709(a,1),12379(a,2,1,1))]. 15226 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (K(z,u) * y) \ (K(z,u) * (y * x)). [para(12689(a,1),15225(a,2,1))]. 15229 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = L(x,y,K(z,u)). [para(15226(a,2),28(a,2)),flip(a)]. 15230 L(L(x,y,K(z,z * u)),K(z,z * u) * y,a(z,u,z)) = L(x,y,K(z,u)). [para(13709(a,1),15229(a,1,3))]. 15231 L(L(x,y,K(z,u)),K(z,z * (z \ u)) * y,a(z,z \ u,z)) = L(x,y,K(z,z \ u)). [para(14(a,1),15230(a,1,1,3,2))]. 15234 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [para(15231(a,1),14604(a,1))]. 15235 L(x,y,K(z \ u,u)) = L(x,y,K(z \ u,z)). [para(5339(a,1),15234(a,1,3)),flip(a)]. 15236 L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). [para(15235(a,2),14706(a,1))]. 15237 L(x,y \ 1,K(y,z)) = x. [para(15236(a,1),13950(a,1))]. 15238 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [para(15237(a,1),5635(a,1,2)),flip(a)]. 15239 (T(x,y) * (1 / x)) * (T(x \ 1,x) * z) = (x \ K(x,y)) * z. [para(15238(a,1),6135(a,2))]. 15240 K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))) = K(((x \ y) \ K(x \ y,y \ x)) * y,z). [para(15239(a,1),13343(a,1,1)),flip(a)]. 15241 K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))) = K(((x \ y) \ 1) * y,z). [para(15240(a,2),6667(a,1))]. 15243 K(x,(T((x \ y) \ 1,x \ y) * y) / (((x \ y) \ 1) * (z \ y))) = K(((x \ y) \ 1) * y,z). [para(15241(a,1),7255(a,1)),flip(a)]. 15244 K(x,(((x \ y) \ 1) * y) / (((x \ y) \ 1) * (z \ y))) = K(((x \ y) \ 1) * y,z). [para(15243(a,1),7249(a,1)),flip(a)]. 15245 K(x,(((x \ y) \ 1) * (z \ y)) \ x) = K(((x \ y) \ 1) * y,z). [para(15244(a,1),12333(a,1)),flip(a)]. 15247 ((L(x,y \ 1,y) / y) \ (x * K((y \ 1) \ 1,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(8388(a,1),6162(a,1,1,1))]. 15248 ((L(x,y \ 1,y) / y) \ (x * K(y,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(3074(a,1),15247(a,1,1,2,2))]. 15249 ((L(x,y \ 1,y) / y) \ (x * K(y,y \ x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(4563(a,1),15248(a,1,1,2,2))]. 15250 ((L(x,y \ 1,y) / y) \ (y * (x / y))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(5432(a,1),15249(a,1,1,2))]. 15251 (L(x,y \ 1,y) / y) \ (y * (x / y)) = ((y \ 1) * x) \ x. [hyper(8403,a,15250,a),flip(a)]. 15252 (x * (y / x)) / (((x \ 1) * y) \ y) = L(y,x \ 1,x) / x. [para(15251(a,1),57(a,1,2))]. 15253 L(x,y \ 1,y) / y = x / R(y,y \ 1,x). [para(15252(a,1),7300(a,1))]. 15254 (x / R(y,y \ 1,x)) * y = L(x,y \ 1,y). [para(15253(a,1),16(a,1,1))]. 15255 L(x,y \ 1,y) \ (x * y) = R(y,y \ 1,x). [para(15254(a,1),1286(a,1,1))]. 15256 x * (L(x,y \ 1,y) \ y) = R(y,y \ 1,x). [para(15255(a,1),853(a,1)),flip(a)]. 15257 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,z / (L(x,y \ 1,y) \ y)). [para(15256(a,1),11754(a,1,2,1,1))]. 15258 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,(y / z) \ L(x,y \ 1,y)). [para(15257(a,2),11957(a,1))]. 15259 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,(y / z) \ x). [para(15258(a,2),12330(a,1))]. 15261 K(x,y / (((z \ 1) * x) \ 1)) = K(x,(z / y) \ x). [para(15259(a,1),13738(a,1)),flip(a)]. 15262 K(x,y / ((z * x) \ 1)) = K(x,((z \ 1) / y) \ x). [para(15261(a,1),7259(a,1)),flip(a)]. 15263 R(K(x,((y \ 1) / (z / u)) \ x),z / u,u) = K(x,z / (((y * x) \ 1) * u)). [para(15262(a,1),6966(a,1,1))]. 15264 K(x,y / (((z * x) \ 1) * u)) = K(x,y / ((x \ (z \ 1)) * u)). [para(15263(a,1),11755(a,1))]. 15265 K(x,K(x,x \ y) / ((x \ ((x \ y) \ 1)) * (z \ y))) = (1 / y) * (K(x,z) * y). [para(15264(a,1),14462(a,1))]. 15266 K(x,((x \ ((x \ y) \ 1)) * (z \ y)) \ 1) = (1 / y) * (K(x,z) * y). [para(15265(a,1),8085(a,1)),flip(a)]. 15268 K(x,(((x \ y) \ 1) * (z \ y)) \ x) = (1 / y) * (K(x,z) * y). [para(15266(a,1),14370(a,1)),flip(a)]. 15269 K(((x \ y) \ 1) * y,z) = (1 / y) * (K(x,z) * y). [para(15268(a,1),15245(a,1)),flip(a)]. 15270 K(((x \ (y * x)) \ 1) * (y * x),z) = K((((x * y) \ 1) * y) \ 1,z). [para(15269(a,2),14335(a,1))]. 15271 K((((x * y) \ 1) * y) \ 1,z) = K((y \ 1) * (x * y),z). [para(7028(a,1),15270(a,1,1)),flip(a)]. 15272 K(((x \ 1) * y) \ 1,T(z,y)) = K((y \ 1) * ((y \ x) * y),z). [para(15271(a,1),14354(a,1)),flip(a)]. 15273 K(((x \ 1) * y) \ 1,T(z,y)) = K(T((y \ 1) * x,y),z). [para(2144(a,1),15272(a,2,1))]. 15274 K(((x \ 1) * y) \ 1,T(z,y)) = K((y \ 1) * x,T(z,y)). [para(15273(a,2),8800(a,1))]. 15275 K((x \ 1) * y,T(T(z,y),x)) = K(((y \ 1) * x) \ 1,z). [para(15274(a,1),11655(a,1))]. 15276 K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). [para(15275(a,1),9262(a,1))]. 15277 K((x \ 1) * (y \ 1),z) = K((y * x) \ 1,z). [para(15276(a,1),6636(a,1))]. 15278 T(x,y) / ((1 / z) \ x) = K((z \ 1) * ((z \ 1) \ x),y) / z. [para(15276(a,1),6898(a,2,1))]. 15280 K((x * (y \ 1)) \ 1,z) = K(y * (x \ 1),z). [para(15277(a,1),6613(a,1))]. 15281 K(x * (((x \ y) \ 1) \ 1),z) / (x \ T(y,z)) = 1 / (x \ y). [para(15280(a,1),7066(a,1,1))]. 15282 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(14(a,1),15278(a,2,1,1))]. 15283 K(x,y) / (z \ T(x,y)) = 1 / (z \ x). [para(6639(a,1),15281(a,1,1))]. 15284 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [para(15283(a,1),59(a,1,1))]. 15285 1 / ((T(x,y) / z) \ x) = K(x,y) / z. [para(59(a,1),15283(a,1,2)),flip(a)]. 15287 (1 / x) \ K(y,z) = (y / x) \ T(y,z). [para(59(a,1),15284(a,1,1,2))]. 15288 (K(x,y) / z) \ K(x,u) = (T(x,y) / z) \ T(x,u). [para(15285(a,1),15284(a,1,1))]. 15289 (1 / x) * ((y / x) \ T(y,z)) = K(y,z). [para(15287(a,1),14(a,1,2))]. 15290 K(((x / y) \ 1) \ y,z) = y \ ((1 / y) \ K(x,z)). [para(15287(a,2),6576(a,2,2))]. 15291 K(x,((y / z) \ 1) \ z) = ((1 / z) \ K(y,x)) \ z. [para(15287(a,2),7890(a,2,1))]. 15292 (1 / x) * (y \ T(y * x,z)) = K(y * x,z). [para(15(a,1),15289(a,1,2,1))]. 15293 (1 / x) * (T(y,z) / (x \ y)) = K((x \ y) * x,z). [para(4955(a,1),15292(a,1,2))]. 15294 ((x / y) \ T(x,z)) * (y \ 1) = K(y * (x / y),z). [para(15292(a,1),6789(a,1)),flip(a)]. 15295 K(((x / y) \ 1) \ y,z) = K(x,y \ ((y \ 1) \ z)). [para(15290(a,2),14979(a,2)),flip(a)]. 15296 ((1 / x) \ K(y * x,z)) \ x = K(z,(y \ 1) \ x). [para(15(a,1),15291(a,1,2,1,1)),flip(a)]. 15297 (1 / x) \ K((x \ y) * x,z) = T(y,z) / (x \ y). [hyper(68,a,15293,a)]. 15298 ((1 / x) \ K(y,z)) * (x \ 1) = K(x * (y / x),z). [para(15287(a,2),15294(a,1,1))]. 15299 K(x,y \ ((y \ 1) \ (z * y))) = K(x,(z \ 1) \ y). [para(15296(a,1),14981(a,2))]. 15300 (1 / x) \ K(y,T(z,x)) = T(y,z) / (x \ y). [para(14126(a,1),15297(a,1,2))]. 15301 (1 / (1 / x)) \ K(y,T(z,x \ 1)) = T(y,z) / ((1 / x) \ y). [para(2940(a,1),15300(a,1,2,2))]. 15302 T(T(x,y),z) / (y \ T(x,y)) = (1 / y) \ K(x,z). [para(8747(a,1),15300(a,1,2)),flip(a)]. 15303 ((1 / x) \ K(y,z)) * (x \ 1) = K(y,T(z,x)). [para(15298(a,2),14134(a,1))]. 15304 K(x,T(y,z * K(y,x))) = z * (((K(x,y) / z) \ 1) \ 1). [para(15303(a,1),13207(a,1))]. 15305 (1 / x) \ K(y,z * x) = x * K(y,(z \ 1) \ x). [para(15299(a,1),14978(a,1,2)),flip(a)]. 15306 T(T(x,y),z) / (T(y,x) \ x) = (1 / y) \ K(x,z). [para(4298(a,2),15302(a,1,2))]. 15307 x * K(y,((z / x) \ 1) \ x) = (1 / x) \ K(y,z). [para(16(a,1),15305(a,1,2,2)),flip(a)]. 15308 T(T(x,y),z) / (T(y,x) \ x) = y * K(x,y \ ((y \ 1) \ z)). [para(15306(a,2),14978(a,2)),flip(a)]. 15309 (T(x,y) / z) \ x = (1 / z) \ K(y,x). [para(15307(a,1),15109(a,2))]. 15310 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [para(57(a,1),15309(a,1,1)),flip(a)]. 15312 1 / ((1 / x) \ K(y,z)) = K(z,y) / x. [para(15309(a,1),15285(a,1,2))]. 15313 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(15310(a,2),8890(a,2,2)),flip(a)]. 15315 K(x,y) / (z \ 1) = 1 / (z \ K(y,x)). [para(57(a,1),15312(a,1,2,1)),flip(a)]. 15316 (K(x,y) / z) \ 1 = (1 / z) \ K(y,x). [para(15312(a,1),59(a,1,1))]. 15317 K(x,x \ 1) * (y * (K(z,u) / (1 / x))) = y * (1 / (x \ K(u,z))). [para(15315(a,1),4915(a,2,2))]. 15318 (K(x,y) / z) * (((1 / (K(x,y) / z)) \ K(y,x)) \ 1) = (z \ K(x,y)) * ((z \ 1) \ 1). [para(15316(a,1),4751(a,1,2,1))]. 15319 (1 / (K(x,y) / z)) \ K(y,x) = z \ K(z,z \ K(x,y)). [para(15316(a,1),5633(a,1))]. 15320 x * (((K(y,z) / x) \ 1) \ 1) = K(y,T(z,x)). [para(8583(a,1),15304(a,1,2)),flip(a)]. 15323 x * (((1 / x) \ K(y,z)) \ 1) = K(z,T(y,x)). [para(15316(a,1),15320(a,1,2,1))]. 15324 ((1 / x) \ K(y,z)) \ 1 = x \ K(z,T(y,x)). [hyper(68,a,15323,a),flip(a)]. 15325 1 / (x \ K(y,T(z,x))) = (1 / x) \ K(z,y). [para(15324(a,1),57(a,1,2))]. 15326 K(x,y) * (((1 / z) \ K(x,y)) \ 1) = (z \ K(y,x)) * K(x,y). [para(15324(a,2),10286(a,1,2))]. 15327 (1 / x) \ K(y,T(z,x)) = 1 / (x \ K(z,y)). [para(8747(a,1),15325(a,1,2,2)),flip(a)]. 15328 1 / (x \ K(y,T(T(z,x),u))) = (1 / x) \ K(z,T(y,u)). [para(8800(a,1),15325(a,1,2,2))]. 15329 T((1 / x) \ K(y,z),K(y,z)) = 1 / (x \ K(z,y)). [para(15325(a,1),14217(a,1,1))]. 15330 ((1 / x) \ K(y,z)) * K(z,y) = K(z,y) * (1 / (x \ K(z,y))). [para(15329(a,1),8503(a,1,2)),flip(a)]. 15331 (1 / (K(x,y) / z)) \ K(y,x) = T(1 / z,K(x,y)). [para(15319(a,2),15051(a,1))]. 15332 (1 / (1 / x)) \ K(y,T(z,x)) = T(y,z) / ((1 / x) \ y). [para(10153(a,1),15301(a,1,2))]. 15333 (1 / (1 / x)) \ K(y,T(z,x)) = K(y,z) / x. [para(15332(a,2),15282(a,1))]. 15334 T(T(x,y),z) / (T(y,x) \ x) = y * K(((x / y) \ 1) \ y,z). [para(15295(a,2),15308(a,2,2))]. 15336 ((1 / (1 / x)) \ K(y,z)) \ 1 = 1 / (x \ K(y,z)). [hyper(17,a,15326,a,b,15330,a(flip)),flip(a)]. 15337 1 / (1 / (x \ K(y,z))) = (1 / (1 / x)) \ K(y,z). [para(15336(a,1),57(a,1,2))]. 15338 K(1 / (x \ K(y,z)),(1 / (x \ K(y,z))) \ 1) * (u * (1 / ((1 / (1 / x)) \ K(y,z)))) = u * (((1 / (1 / (1 / (x \ K(y,z))))) \ 1) \ 1). [para(15337(a,1),3316(a,1,2,2,2))]. 15339 T(T(x,y),z) / (y \ T(x,y)) = y * K(((x / y) \ 1) \ y,z). [para(4298(a,1),15334(a,1,2))]. 15340 T(T(x * y,y),z) / (y \ T(x * y,y)) = y * K((x \ 1) \ y,z). [para(15(a,1),15339(a,2,2,1,1,1))]. 15341 K(x,x \ 1) * (y * (K(z,u) / (1 / x))) = y * (((1 / (1 / x)) \ K(u,z)) \ 1). [para(15336(a,2),15317(a,2,2))]. 15342 T(T(x * y,y),z) / (y \ T(x * y,y)) != y * u | K((x \ 1) \ y,z) = u. [para(15340(a,2),19(a,1))]. 15343 K(x,x \ 1) * (y * (K(z,u) / (1 / x))) = y * (((w / ((1 / (1 / x)) \ K(u,z))) \ w) \ 1). [para(59(a,2),15341(a,2,2,1))]. 15344 (K(x,y) / z) * (T(1 / z,K(x,y)) \ 1) = (z \ K(x,y)) * ((z \ 1) \ 1). [para(15331(a,1),15318(a,1,2,1))]. 15345 (x \ K(y,z)) * ((x \ 1) \ 1) = (K(y,z) / x) * T(x,K(y,z)). [para(10224(a,1),15344(a,1,2)),flip(a)]. 15346 K(x,y) * K(z,K(x,y)) = (z \ K(x,y)) * ((z \ 1) \ 1). [para(15345(a,2),6410(a,1)),flip(a)]. 15347 (x \ K(y,z)) * ((x \ 1) \ 1) = K(y,T(z,x)). [para(15346(a,1),8547(a,1))]. 15348 ((x \ y) \ K(x,y)) * (((x \ y) \ 1) \ 1) = K(x,y). [para(15347(a,2),7975(a,1))]. 15350 K(x,y) / (((x \ y) \ 1) \ 1) = (x \ y) \ K(x,y). [hyper(74,a,15348,a)]. 15351 (x \ (x \ (y * x))) \ 1 = (x \ y) \ K(x,y). [para(15350(a,1),14343(a,2))]. 15352 (x \ T(y,x)) \ 1 = (x \ y) \ K(x,y). [para(32(a,2),15351(a,1,1,2))]. 15353 x / T((x \ y) \ K(x,y),T(y,x)) = ((x \ T(y,x)) \ 1) \ x. [para(15352(a,1),6259(a,1,2,1))]. 15354 x / T((x \ y) \ K(x,y),y) = ((x \ T(y,x)) \ 1) \ x. [para(7683(a,1),15353(a,1,2))]. 15355 ((x \ T(y,x)) \ 1) \ x = T(((x \ y) \ 1) \ x,x). [para(15354(a,1),12343(a,1))]. 15356 T(T(x,y),z) / (y \ T(x,y)) = y * K(T(((y \ x) \ 1) \ y,y),z). [para(15355(a,1),6575(a,2,2,1))]. 15357 T(T(x * y,y),z) / (y \ T(x * y,y)) = y * K(T((T(x,y) \ 1) \ y,y),z). [para(32(a,2),15356(a,2,2,1,1,1,1))]. 15358 T(T(x * y,y),z) / (y \ T(x * y,y)) = y * K((T(x,y) \ 1) \ y,T(z,y)). [para(8800(a,1),15357(a,2,2))]. 15359 T(T(x * y,y),z) / (y \ T(x * y,y)) = y * K(y / (T(x,y) \ 1),z). [para(8795(a,1),15358(a,2,2))]. 15360 K(x / (T(y,x) \ 1),z) = K((y \ 1) \ x,z). [hyper(15342,a,15359,a),flip(a)]. 15361 K(x / ((x \ y) \ 1),z) = K(((y / x) \ 1) \ x,z). [para(106(a,1),15360(a,1,1,2,1))]. 15362 (K(((x / y) \ 1) \ y,z) \ 1) * K(((y \ x) \ 1) \ y,z) = K(y,K(x,z)). [para(15361(a,1),12654(a,1,1,1))]. 15363 K(x,((y / z) \ 1) \ z) * K(((z \ y) \ 1) \ z,x) = K(z,K(y,x)). [para(5332(a,1),15362(a,1,1))]. 15364 K(x,x \ 1) * (y * (K(z,u) / (1 / x))) = y * (((w / (1 / (1 / (x \ K(u,z))))) \ w) \ 1). [para(15337(a,2),15343(a,2,2,1,1,2))]. 15365 K(x,x \ 1) * (y * (1 / ((1 / (1 / x)) \ K(z,u)))) = y * (((w / (1 / (1 / (x \ K(z,u))))) \ w) \ 1). [para(15312(a,2),15364(a,1,2,2))]. 15366 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(15313(a,2),8890(a,1))]. 15368 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),15366(a,1,2,1,2,2))]. 15369 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),15368(a,1,2,1,2,2,1))]. 15370 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(15369(a,1),11567(a,1)),flip(a)]. 15371 K(x,y \ L(L(T(x,z),u,w),v5,v6)) = K(x,y \ L(L(x,u,w),v5,v6)). [para(59(a,1),15370(a,1,2))]. 15374 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(15371(a,1),12141(a,2))]. 15375 K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). [para(15374(a,1),12070(a,1))]. 15377 K(x,(y \ 1) \ L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(15375(a,1),10445(a,1,1))]. 15379 K(x,1 \ (y * L(x,z,u))) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(12326(a,1),15377(a,1,1))]. 15381 K(x,y * L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(48(a,1),15379(a,1,1,2))]. 15382 K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(5504(a,1),15381(a,1,2))]. 15383 L(x,y,z) * (K(x,u * L(x,y,z)) * K(u,x)) = L(L(x,u,x),y,z). [para(15382(a,1),12938(a,1)),flip(a)]. 15384 L(x,y,z) * (K(u,x) * K(x,u * L(x,y,z))) = L(L(x,u,x),y,z). [para(2114(a,1),15383(a,1,2))]. 15385 L(x,y,z) * (a(x,u,L(x,y,z)) \ 1) = L(L(x,u,x),y,z). [para(12439(a,1),15384(a,1,2))]. 15386 L(x,y,z) \ L(L(x,u,x),y,z) = a(x,u,L(x,y,z)) \ 1. [hyper(68,a,15385,a)]. 15387 x * a(L(y,z,u),w,L(y,z,u)) = (a(y,w,L(y,z,u)) \ 1) \ x. [para(15386(a,1),14628(a,1,1)),flip(a)]. 15388 a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,y,z)). [hyper(17,a,12833,a(flip),b,15387,a)]. 15389 L(x,y,z) * a(x,u,L(x,y,z)) = R(L(x,y,z),u,L(x,y,z)). [para(15388(a,1),12367(a,1,2))]. 15390 L(x,y,z) * a(x,u,L(x,y,z)) = L(R(x,u,x),y,z). [para(15389(a,2),14423(a,1))]. 15391 L(x,y,z) * a(x,u,x) = L(R(x,u,x),y,z). [para(14433(a,1),15390(a,1,2))]. 15392 (x * (y * z)) \ ((x * y) * L(R(z,u,z),y,x)) = L(a(z,u,z),L(z,y,x),x * y). [para(15391(a,1),307(a,1,2,2))]. 15394 (x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),L(z,y,x),x * y). [para(89(a,1),15392(a,1,2))]. 15395 L(a(x,y,x),L(x,z,u),u * z) = L(a(x,y,x),z * x,u). [para(15394(a,1),13076(a,1))]. 15396 L(a(x,y,x),z * x,u) = a(x,y,x). [para(15395(a,1),13322(a,1))]. 15397 L(a(x,y,x),z,u) = a(x,y,x). [para(16(a,1),15396(a,1,2))]. 15409 a(x,L(y,z,u),x) = a(x,y,x). [para(15397(a,1),14763(a,1)),flip(a)]. 15410 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [para(15397(a,1),15063(a,1))]. 15413 R(x,L(y,z,u),x) = x * a(x,y,x). [para(15409(a,1),12367(a,1,2)),flip(a)]. 15415 R(x,L(y,z,u),x) = R(x,y,x). [para(15413(a,2),12367(a,1))]. 15416 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(15415(a,1),13023(a,1,2,1))]. 15417 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(15410(a,1),12747(a,1,1)),flip(a)]. 15419 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [para(15417(a,2),12747(a,1))]. 15420 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(15415(a,1),15416(a,1,2,2,1))]. 15422 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(4462(a,2),15420(a,1,2))]. 15424 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4446(a,1),15422(a,1,2,2))]. 15425 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(14164(a,1),15424(a,1,2))]. 15426 L(x,y,z) * R(T(u,x * u),x,u) = T(T(u,u * x) * L(x,y,z),u). [para(42(a,2),15425(a,1,2))]. 15427 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(518(a,1),15426(a,1,2)),flip(a)]. 15428 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [para(15427(a,1),11375(a,1)),flip(a)]. 15429 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [para(15428(a,1),5169(a,2,2)),flip(a)]. 15430 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [para(15429(a,1),12349(a,1))]. 15431 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [para(15430(a,2),14958(a,1))]. 15432 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(16(a,1),15431(a,1,1))]. 15433 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [para(15432(a,1),11771(a,1)),flip(a)]. 15434 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(14734(a,1),15433(a,2,3))]. 15436 K(1 / (x \ K(y,z)),x \ K(y,z)) * (u * (1 / ((1 / (1 / x)) \ K(y,z)))) = u * (((1 / (1 / (1 / (x \ K(y,z))))) \ 1) \ 1). [para(59(a,1),15338(a,1,1,2))]. 15438 K(K(x,y) * z,z \ K(y,x)) * (u * (1 / ((1 / (1 / z)) \ K(y,x)))) = u * (((1 / (1 / (1 / (z \ K(y,x))))) \ 1) \ 1). [para(6863(a,1),15436(a,1,1))]. 15439 K(K(x,y) * z,z \ K(y,x)) = K(z,z \ 1). [hyper(18,a,15365,a,b,15438,a)]. 15440 (x * K(y,z)) \ K(x,x \ 1) = 1 / (x * K(y,z)). [para(15439(a,1),7584(a,1,2))]. 15442 ((1 / (1 / x)) * K(y,z)) \ 1 = 1 / (x * K(y,z)). [para(15440(a,1),3845(a,2))]. 15444 T(1 / (x * K(y,z)),K(z,y)) = (K(y,z) * (1 / (1 / x))) \ 1. [para(15442(a,1),10228(a,1,1))]. 15445 (K(x,y) * (1 / (1 / z))) \ 1 = 1 / (K(x,y) * z). [para(15444(a,1),10225(a,1))]. 15446 (K(x,y) * ((1 / (1 / z)) \ K(u,w))) \ 1 = 1 / (K(x,y) * (z \ K(u,w))). [para(15337(a,1),15445(a,1,1,2))]. 15447 1 / (K(x,y) * (z \ K(u,T(w,z)))) = (K(x,y) * (K(u,w) / z)) \ 1. [para(15333(a,1),15446(a,1,1,2)),flip(a)]. 15448 1 / ((x \ K(y,T(z,x))) * K(u,K(y,T(z,x)))) = (K(u,T(K(y,T(z,x)),x)) * (K(y,z) / x)) \ 1. [para(10170(a,1),15447(a,1,2))]. 15449 1 / ((x \ K(y,T(z,x))) * K(y,K(u,T(z,x)))) = (K(u,T(K(y,T(z,x)),x)) * (K(y,z) / x)) \ 1. [para(8435(a,1),15448(a,1,2,2))]. 15450 (K(x,T(K(y,T(z,u)),u)) * (K(y,z) / u)) \ 1 = 1 / (u \ K(y,T(T(z,u),x))). [para(14227(a,1),15449(a,1,2)),flip(a)]. 15451 (K(x,T(K(y,T(z,u)),u)) * (K(y,z) / u)) \ 1 = (1 / u) \ K(z,T(y,x)). [para(15450(a,2),15328(a,1))]. 15452 (K(x,K(y,z)) * (K(y,z) / u)) \ 1 = (1 / u) \ K(z,T(y,x)). [para(8550(a,1),15451(a,1,1,1,2))]. 15454 (K(x,y) / z) \ K(x,K(y,u)) = (1 / z) \ K(y,T(x,u)). [para(15452(a,1),12187(a,1)),flip(a)]. 15455 (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(5071(a,1),10051(a,1,2,1,2,2,2))]. 15456 (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(4835(a,1),15455(a,1,2,1,2,2))]. 15457 (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(8435(a,1),15456(a,1,2,1))]. 15458 (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(11651(a,1),15457(a,1,2,1,2))]. 15459 (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(8017(a,1),15458(a,1,2,1,2))]. 15461 (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(10203(a,1),15459(a,1,2,1))]. 15462 (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(5071(a,1),15461(a,1,2,2,1,2,1,2,2))]. 15463 (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(4835(a,1),15462(a,1,2,2,1,2,1,2))]. 15464 (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(8418(a,1),15463(a,1,2,2,1,2))]. 15465 (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(10057(a,1),15464(a,1,2,2,1,2,2))]. 15466 (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(8794(a,1),15465(a,1,2,2,1,2,2))]. 15468 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(x,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10198(a,1),15466(a,1,2,2,1,2))]. 15469 (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(8435(a,1),15468(a,1,2,2,1,2))]. 15470 (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(5404(a,1),15469(a,1,2,2,1))]. 15471 (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(13502(a,2),15470(a,1,2))]. 15472 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(15471(a,1),13503(a,1)),flip(a)]. 15473 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(6304(a,1),15472(a,1,2)),flip(a)]. 15474 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(15473(a,2),8493(a,1))]. 15475 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(727(a,1),15474(a,1,1)),flip(a)]. 15476 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(15475(a,1),13196(a,2))]. 15477 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(727(a,1),15476(a,1,1))]. 15478 (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(15477(a,1),12916(a,1,2))]. 15479 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [para(15478(a,1),12916(a,1))]. 15480 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [para(15479(a,2),8449(a,2)),flip(a)]. 15481 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [para(15480(a,1),12244(a,1)),flip(a)]. 15482 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [para(15481(a,2),8435(a,1))]. 15483 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [para(15482(a,1),12245(a,2))]. 15484 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [para(15483(a,1),14386(a,2))]. 15485 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [para(15484(a,2),12136(a,1))]. 15486 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [para(15485(a,1),8497(a,1)),flip(a)]. 15487 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [para(15486(a,1),8495(a,2))]. 15488 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(15487(a,1),13209(a,2))]. 15489 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [para(15488(a,1),10068(a,1)),flip(a)]. 15490 (((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(12205(a,1),10653(a,1,1)),flip(a)]. 15491 (((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(59(a,1),15490(a,2,2,1))]. 15494 (((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(6572(a,1),15491(a,2,2))]. 15495 (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(59(a,1),15494(a,1,1))]. 15497 K(x,K(y,z)) * (T(x,y) / u) = (x / u) * T(K((u \ 1) \ (x / u),y),z). [para(7448(a,1),15495(a,1,2,1)),flip(a)]. 15498 K(x,K(y,z)) * (T(x,y) / u) = (x / u) * K((u \ 1) \ (x / u),T(y,z)). [para(7973(a,2),15497(a,2,2))]. 15499 K(x,K(y,z)) * (T(x,y) / u) = T(x,T(y,z)) / u. [para(15498(a,2),6572(a,1))]. 15500 (x \ (T(y,z) / (x \ y))) * x = T(y,T(z,x)) / (x \ y). [para(15499(a,1),10036(a,1)),flip(a)]. 15501 (x \ (T(y,z) / (x \ y))) * x = (y / x) \ T(y,z). [para(15500(a,2),14194(a,1))]. 15502 T(T(x,y) / (z \ x),K(x,y)) = (x / z) \ T(x,y). [para(15501(a,1),13349(a,2))]. 15503 T(x * K(((x \ y) \ 1) \ x,z),K(y,z)) = (y / x) \ T(y,z). [para(6575(a,1),15502(a,1,1))]. 15504 ((T(x,y) / (z \ x)) \ z) \ z = (x / z) \ T(x,y). [para(15503(a,1),14338(a,1)),flip(a)]. 15505 K(x,K(y,z)) * K(y,((x / z) \ 1) \ z) = z / ((x / z) \ T(x,y)). [para(15503(a,1),15224(a,1,2)),flip(a)]. 15506 x / ((y / x) \ T(y,z)) = (T(y,z) / (x \ y)) \ x. [para(15504(a,1),57(a,1,2))]. 15507 K(x,K(y,z)) * K(y,((x / z) \ 1) \ z) = (T(x,y) / (z \ x)) \ z. [para(15505(a,2),15506(a,1))]. 15508 K(x,K(y,z)) * K(y,((x / z) \ 1) \ z) = z \ (x / (z \ T(x,y))). [para(15507(a,2),15119(a,1))]. 15509 ((T(x,y) / z) \ x) / z = z \ (x / (z \ T(x,y))). [para(15508(a,1),15211(a,1)),flip(a)]. 15510 (((T(x,y) / z) \ x) / z) \ 1 = K(((z \ x) \ 1) \ z,y). [para(15509(a,2),15117(a,1,1))]. 15511 1 / (((T(x,y) / z) \ x) / z) = K(((z \ x) \ 1) \ z,y). [para(15509(a,2),15118(a,1,2))]. 15512 K(((x \ y) \ 1) \ x,z) * ((T(y,z) / x) \ y) = x. [para(15510(a,1),15201(a,1,1))]. 15513 ((T(x,y) / z) \ x) * (1 / (((T(x,y) / z) \ x) / z)) = (z * K(y,((x / z) \ 1) \ z)) * K(((z \ x) \ 1) \ z,y). [para(15510(a,1),15204(a,2,2))]. 15514 ((T(x,y) / z) \ x) * (1 / (((T(x,y) / z) \ x) / z)) = z * (K(y,((x / z) \ 1) \ z) * K(((z \ x) \ 1) \ z,y)). [para(15513(a,2),11006(a,1))]. 15515 ((T(x,y) / z) \ x) * (1 / (((T(x,y) / z) \ x) / z)) = z * K(z,K(x,y)). [para(15363(a,1),15514(a,2,2))]. 15516 ((T(x,y) / z) \ x) * (1 / (((T(x,y) / z) \ x) / z)) = T(z,K(y,x)). [para(15515(a,2),8476(a,1))]. 15517 ((T(x,y) / z) \ x) * K(((z \ x) \ 1) \ z,y) = T(z,K(y,x)). [para(15511(a,1),15516(a,1,2))]. 15518 ((K(x,((y / z) \ 1) \ z) \ 1) \ 1) \ ((T(y,x) / z) \ y) = T(z,K(x,y)). [para(15517(a,1),15203(a,2))]. 15519 ((K(x,((y / z) \ 1) \ z) \ 1) \ 1) \ ((T(y,x) / z) \ y) = T(z,K(y,x)). [para(15518(a,2),8502(a,1))]. 15520 K(x,((y / z) \ 1) \ z) \ ((T(y,x) / z) \ y) = T(z,K(y,x)). [para(2119(a,1),15519(a,1,1))]. 15521 (T(x,K(y,z)) / ((T(y,z) / x) \ y)) \ (T(x \ ((T(y,z) / x) \ y),x) \ ((T(y,z) / x) \ y)) = x * (((T(y,z) / x) \ y) / x). [para(15520(a,1),15110(a,1,1,1))]. 15522 (T(x,K(y,z)) / ((T(z,y) / x) \ z)) \ (T(x \ ((T(z,y) / x) \ z),x) \ ((T(z,y) / x) \ z)) = x * (((T(z,y) / x) \ z) / x). [para(8502(a,1),15521(a,1,1,1))]. 15523 (T(x,K(y,z)) / ((T(z,y) / x) \ z)) \ (K(y,((x \ z) \ 1) \ x) \ ((T(z,y) / x) \ z)) = x * (((T(z,y) / x) \ z) / x). [para(15121(a,1),15522(a,1,2,1))]. 15524 (T(x,K(y,z)) / ((T(z,y) / x) \ z)) \ (K(((x \ z) \ 1) \ x,y) * ((T(z,y) / x) \ z)) = x * (((T(z,y) / x) \ z) / x). [para(5336(a,1),15523(a,1,2))]. 15525 (T(x,K(y,z)) / ((T(z,y) / x) \ z)) \ x = x * (((T(z,y) / x) \ z) / x). [para(15512(a,1),15524(a,1,2))]. 15526 ((T(x,y) / z) \ x) * K(y,K(z,x)) = z * (((T(x,y) / z) \ x) / z). [para(15525(a,1),14188(a,1)),flip(a)]. 15527 (T(x,y) / z) \ T(x,K(y,z)) = z * (((T(x,y) / z) \ x) / z). [para(15526(a,1),14180(a,1)),flip(a)]. 15528 (T(x,y) / z) \ T(x,K(y,z)) = z * (z \ (x / (z \ T(x,y)))). [para(15509(a,1),15527(a,2,2))]. 15529 (T(x,y) / z) \ T(x,K(y,z)) = x / (z \ T(x,y)). [para(15528(a,2),14(a,1))]. 15530 (K(x,y) / z) \ K(x,K(y,z)) = x / (z \ T(x,y)). [para(15529(a,1),15288(a,2))]. 15531 (1 / x) \ K(y,T(z,x)) = z / (x \ T(z,y)). [para(15530(a,1),15454(a,1)),flip(a)]. 15532 1 / (x \ K(y,z)) = y / (x \ T(y,z)). [para(15531(a,1),15327(a,1)),flip(a)]. 15533 (1 / (x \ K(y,z))) \ y = x \ T(y,z). [para(15532(a,2),59(a,1,1))]. 15534 K(x,y) / (z \ K(x,u)) = T(x,y) / (z \ T(x,u)). [para(15533(a,1),15282(a,1,2)),flip(a)]. 15535 K(x,y) / (y \ K(x,L(y,z,u))) = y * a(u,z,K(y \ T(x,y),y)). [para(15534(a,2),14972(a,1))]. 15536 K(x,y) * T(y,L(x,z,u)) = y * a(u,z,K(y \ T(x,y),y)). [para(15535(a,1),14989(a,1)),flip(a)]. 15537 x * a(y,z,K(x \ T(u,x),x)) = x * a(y,z,K(u,x)). [para(15536(a,1),14953(a,1))]. 15538 x * a(y,z,K(x \ u,x)) = x * a(y,z,K(u,x)). [para(4501(a,1),15537(a,1,2,3))]. 15539 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(233,a,15538,a),flip(a)]. 15541 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(13(a,1),15539(a,1,3,1)),flip(a)]. 15542 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,u * z)). [para(5483(a,1),15539(a,1,3))]. 15543 a(x,y,K(z \ (u \ w),u)) = a(x,y,K(z \ w,u)). [para(14046(a,2),15539(a,1,3))]. 15544 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [para(15539(a,1),15434(a,2))]. 15545 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(15541(a,2),11542(a,1,1))]. 15546 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [para(15544(a,1),14247(a,1)),flip(a)]. 15547 ((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(15546(a,1),6060(a,1)),flip(a)]. 15548 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(11543,a,15545,a)]. 15549 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(14(a,1),15548(a,1,3,2)),flip(a)]. 15550 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,z)). [para(15548(a,1),15542(a,2))]. 15551 a(x,y,K(z \ 1,u * z)) = a(x,y,K(z \ 1,u)). [para(6216(a,1),15549(a,1,3))]. 15552 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [para(15551(a,1),15550(a,1))]. 15553 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(v5 \ 1,z))). [para(15544(a,1),15552(a,1,3)),flip(a)]. 15554 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(z,v5))). [para(15552(a,1),15553(a,2,3))]. 15555 a(x,y,K(L(z,u,w) \ (v5 \ z),v5)) = a(x,y,a(w,u,K(z,v5))). [para(11518(a,1),15554(a,1,3))]. 15556 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [para(15555(a,1),15543(a,1)),flip(a)]. 15557 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(15556(a,1),11060(a,1,2))]. 15558 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(12007(a,1),15557(a,1,2)),flip(a)]. 15559 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(71,a,15558,a(flip)),flip(a)]. 15561 K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). [para(15559(a,1),10048(a,1,2,2)),flip(a)]. 15562 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [para(15561(a,2),10048(a,1))]. 15564 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(15562(a,1),5200(a,2,2))]. 15566 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [para(15564(a,2),5200(a,2)),flip(a)]. 15567 (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(5108(a,1),15547(a,1,1))]. 15568 (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),15567(a,1,2,2))]. 15570 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(15419(a,1),15568(a,1,2))]. 15571 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [para(15570(a,1),5724(a,1)),flip(a)]. 15572 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [para(15571(a,1),9029(a,1)),flip(a)]. 15573 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(15566(a,1),15572(a,1,2,1))]. 15574 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [para(15573(a,1),5206(a,1)),flip(a)]. 15575 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * R(K(y,z),u,w)) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)). [para(32(a,2),9480(a,1,1)),flip(a)]. 15576 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * K(y,R(z,u,w))) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)). [para(15092(a,1),15575(a,2,1,2,2))]. 15577 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * K(y,R(z,u,w))) \ v5. [para(9830(a,1),15576(a,2,2))]. 15578 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(15577(a,2),5141(a,2)),flip(a)]. 15579 K(K(x,y) * R(K(y,z),u,w),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(9475(a,1),15578(a,1,1,2))]. 15581 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(9830(a,1),15579(a,1,2))]. 15582 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(15131(a,1),15581(a,1,1)),flip(a)]. 15583 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [para(15582(a,1),12796(a,1)),flip(a)]. 15585 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(15583(a,1),12854(a,1,1,1))]. 15586 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(244(a,1),15585(a,1,1)),flip(a)]. 15587 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(15586(a,2),8687(a,1))]. 15588 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(8418(a,1),15587(a,1,2,1,1))]. 15589 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(10244(a,1),15588(a,1,2,1))]. 15590 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(5214(a,2),15589(a,1,2))]. 15591 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [para(15590(a,1),13158(a,2))]. 15592 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(8438(a,1),15591(a,1,1))]. 15593 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [para(15592(a,1),12731(a,1)),flip(a)]. 15594 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [para(15593(a,1),15140(a,1))]. 15595 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(17,a,5200,a(flip),b,15594,a)]. 15596 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [para(15595(a,1),15583(a,2))]. 15597 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(15596(a,1),15158(a,1,2))]. 15598 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(64,a,15597,a),flip(a)]. 15599 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(8435(a,1),15598(a,1,1))]. 15600 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [para(15598(a,2),15595(a,2)),flip(a)]. 15601 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(15192(a,1),15599(a,2,2))]. 15602 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(15599(a,2),15595(a,2)),flip(a)]. 15603 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(15170(a,2),15600(a,2,1)),flip(a)]. 15604 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [para(15603(a,1),15602(a,2))]. 15605 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [para(15601(a,1),15604(a,1))]. 15606 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [para(15605(a,1),11224(a,2))]. 15607 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(8449(a,2),15606(a,2,1))]. 15608 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [para(15607(a,1),11250(a,1)),flip(a)]. 15609 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [para(15608(a,1),10359(a,1)),flip(a)]. 15610 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(8474(a,1),15609(a,2,1))]. 15612 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(10248(a,1),15610(a,2,1))]. 15614 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [para(15612(a,1),10254(a,2))]. 15615 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [para(15614(a,1),10438(a,1)),flip(a)]. 15617 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [para(15615(a,1),15489(a,1))]. 15619 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(12105(a,1),15617(a,1,1)),flip(a)]. 15620 K(x,K(y * z,a(y,z,u))) = 1. [para(15619(a,2),12214(a,1))]. 15622 K(x,K(a(y,z,u),y * (z * u))) = 1. [para(15620(a,1),15486(a,2))]. 15623 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = 1 * (y * (z * u)). [para(15622(a,1),8515(a,1,1)),flip(a)]. 15625 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = y * (z * u). [hyper(64,a,15623,a(flip)),flip(a)]. 15626 K(x,a(y,z,u)) * (y * (z * u)) = (y * (z * u)) * K(x,a(y,z,u)). [para(15625(a,1),8634(a,1,1)),flip(a)]. 15627 K(x,T(a(y,z,u),y * (z * u))) = K(x,a(y,z,u)). [hyper(7979,a,15626,a)]. 15628 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [para(15627(a,1),8613(a,2))]. 15629 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(15628(a,1),8241(a,2))]. 15630 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(15192(a,2),15629(a,1,1))]. 15631 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [para(15630(a,1),15164(a,2))]. 15632 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [para(15631(a,1),15188(a,1)),flip(a)]. 15634 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(15632(a,1),15199(a,1,2))]. 15635 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u). [para(15634(a,1),12756(a,1)),flip(a)]. 15636 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [para(15635(a,1),5206(a,1)),flip(a)]. 15637 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [para(15636(a,2),15170(a,1))]. 15638 a(K(x,y),z,u) = a(y,z,K(x,u)). [para(15637(a,1),15574(a,1))]. 15639 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(15638(a,1),15152(a,1,1,2))]. 15640 a(K(x,y),z,u) = a(x,z,K(u,y)). [para(15639(a,1),12153(a,1))]. 15641 $F # answer("aK1_eq_aK3"). [resolve(15640,a,47,a)]. ============================== end of proof ==========================