============================== NewAuto =============================== NewAuto (32) version April-2007, April 2007. Process 32200 was started by ??? on pengy, Mon May 21 11:37:16 2007 The command was "/nfs/faculty/veroff/PROVER/LADR/provers.src/newauto -f newauto.in3". ============================== end of head =========================== ============================== INPUT ================================= % Reading from file newauto.in3 lex([1,A,B,C,D,\,/,*,i]). assign(order,kbo). set(lex_order_vars). clear(auto_denials). assign(sos_limit,75000). assign(max_megs,950). clear(print_given). formulas(sos). 1 * x = x. x * 1 = x. x * (x \ y) = y. x \ (x * y) = y. (x * y) / y = x. (x / y) * y = x. ((x * y) / x) * (x * z) = x * (y * z) # label(LCC). (z * x) * (x \ (y * x)) = (z * y) * x # label(RCC). end_of_list. formulas(sos). A * (B * ((D * C) \ (C * D))) != (A * B) * ((D * C) \ (C * D)) # label("orig"). end_of_list. formulas(extra_assumptions). x * (y * ((z * z) \ (z * z))) = (x * y) * ((z * z) \ (z * z)) # label("DC"). x * (z * ((w * z) \ (z * w))) = (x * z) * ((w * z) \ (z * w)) # label("BC"). x * (y * ((y * z) \ (z * y))) = (x * y) * ((y * z) \ (z * y)) # label("DB"). w * (y * ((w * z) \ (z * w))) = (w * y) * ((w * z) \ (z * w)) # label("AD"). x * (y * ((w * x) \ (x * w))) = (x * y) * ((w * x) \ (x * w)) # label("CA"). x * (x * ((w * z) \ (z * w))) = (x * x) * ((w * z) \ (z * w)) # label("BA"). i(x) = x \ 1. i(x) = 1 / x. x * i(x) = 1. i(x) * x = 1. y * i(x * y) = i(x). i(y * x) * y = i(x). y * ((x * y) \ 1) = x \ 1. (1 / (y * x)) * y = 1 / x. end_of_list. formulas(hints). x * (y * ((w * z) \ (z * w))) = (x * y) * ((w * z) \ (z * w)) # label("orig"). end_of_list. ============================== end of input ========================== ============================== PROCESS NON-CLAUSAL FORMULAS ========== % Formulas that are not ordinary clauses: ============================== end of process non-clausal formulas === *********************************************** AUTO SKETCHES ITERATION 1 *********************************************** Starting a search with 14 assumptions: formulas(assumptions_active). x * (y * ((z * z) \ (z * z))) = (x * y) * ((z * z) \ (z * z)) # label("DC"). [assumption]. x * (y * ((z * y) \ (y * z))) = (x * y) * ((z * y) \ (y * z)) # label("BC"). [assumption]. x * (y * ((y * z) \ (z * y))) = (x * y) * ((y * z) \ (z * y)) # label("DB"). [assumption]. x * (y * ((x * z) \ (z * x))) = (x * y) * ((x * z) \ (z * x)) # label("AD"). [assumption]. x * (y * ((z * x) \ (x * z))) = (x * y) * ((z * x) \ (x * z)) # label("CA"). [assumption]. x * (x * ((y * z) \ (z * y))) = (x * x) * ((y * z) \ (z * y)) # label("BA"). [assumption]. i(x) = x \ 1. [assumption]. i(x) = 1 / x. [assumption]. x * i(x) = 1. [assumption]. i(x) * x = 1. [assumption]. x * i(y * x) = i(y). [assumption]. i(x * y) * x = i(y). [assumption]. x * ((y * x) \ 1) = y \ 1. [assumption]. (1 / (x * y)) * x = 1 / y. [assumption]. end_of_list. Child search process 32201 started. ============================== PROCESS INITIAL CLAUSES =============== % Clauses before input processing: formulas(usable). end_of_list. formulas(sos). 1 * x = x. [assumption]. x * 1 = x. [assumption]. x * (x \ y) = y. [assumption]. x \ (x * y) = y. [assumption]. (x * y) / y = x. [assumption]. (x / y) * y = x. [assumption]. ((x * y) / x) * (x * z) = x * (y * z) # label(LCC). [assumption]. (x * y) * (y \ (z * y)) = (x * z) * y # label(RCC). [assumption]. A * (B * ((D * C) \ (C * D))) != (A * B) * ((D * C) \ (C * D)) # label("orig"). [assumption]. x * (y * ((z * z) \ (z * z))) = (x * y) * ((z * z) \ (z * z)) # label("DC"). [assumption]. x * (y * ((z * y) \ (y * z))) = (x * y) * ((z * y) \ (y * z)) # label("BC"). [assumption]. x * (y * ((y * z) \ (z * y))) = (x * y) * ((y * z) \ (z * y)) # label("DB"). [assumption]. x * (y * ((x * z) \ (z * x))) = (x * y) * ((x * z) \ (z * x)) # label("AD"). [assumption]. x * (y * ((z * x) \ (x * z))) = (x * y) * ((z * x) \ (x * z)) # label("CA"). [assumption]. x * (x * ((y * z) \ (z * y))) = (x * x) * ((y * z) \ (z * y)) # label("BA"). [assumption]. i(x) = x \ 1. [assumption]. i(x) = 1 / x. [assumption]. x * i(x) = 1. [assumption]. i(x) * x = 1. [assumption]. x * i(y * x) = i(y). [assumption]. i(x * y) * x = i(y). [assumption]. x * ((y * x) \ 1) = y \ 1. [assumption]. (1 / (x * y)) * x = 1 / y. [assumption]. end_of_list. formulas(demodulators). end_of_list. % 1 hints input. ============================== PREDICATE ELIMINATION ================= No predicates eliminated. ============================== end predicate elimination ============= Term ordering decisions: Function symbol KB weights: 1=1. A=1. B=1. C=1. D=1. \=1. /=1. *=1. i=1. Relation symbol precedence: lex([ = ]). Function symbol precedence: lex([ 1, A, B, C, D, \, /, *, i ]). Skipping inverse_order, because there is a lex command. Skipping unfold_eq, becaure there is a lex command. Auto_inference settings: % set(paramodulation). % (positive equality literals) % set(paramodulation) -> set(back_demod). Auto_process settings: (no changes). ============================== end of process initial clauses ======== ============================== CLAUSES FOR SEARCH ==================== % Clauses after input processing: formulas(usable). end_of_list. formulas(sos). 1 1 * x = x. [assumption]. 2 x * 1 = x. [assumption]. 3 x * (x \ y) = y. [assumption]. 4 x \ (x * y) = y. [assumption]. 5 (x * y) / y = x. [assumption]. 6 (x / y) * y = x. [assumption]. 7 ((x * y) / x) * (x * z) = x * (y * z) # label(LCC). [assumption]. 8 (x * y) * (y \ (z * y)) = (x * z) * y # label(RCC). [assumption]. 10 (A * B) * ((D * C) \ (C * D)) != A * (B * ((D * C) \ (C * D))). [copy(9),flip(a)]. 12 (x * y) * ((z * z) \ (z * z)) = x * (y * ((z * z) \ (z * z))). [copy(11),flip(a)]. 14 (x * y) * ((z * y) \ (y * z)) = x * (y * ((z * y) \ (y * z))). [copy(13),flip(a)]. 16 (x * y) * ((y * z) \ (z * y)) = x * (y * ((y * z) \ (z * y))). [copy(15),flip(a)]. 18 (x * y) * ((x * z) \ (z * x)) = x * (y * ((x * z) \ (z * x))). [copy(17),flip(a)]. 20 (x * y) * ((z * x) \ (x * z)) = x * (y * ((z * x) \ (x * z))). [copy(19),flip(a)]. 22 (x * x) * ((y * z) \ (z * y)) = x * (x * ((y * z) \ (z * y))). [copy(21),flip(a)]. 24 x \ 1 = i(x). [copy(23),flip(a)]. 26 1 / x = i(x). [copy(25),flip(a)]. 27 x * i(x) = 1. [assumption]. 28 i(x) * x = 1. [assumption]. 29 x * i(y * x) = i(y). [assumption]. 30 i(x * y) * x = i(y). [assumption]. end_of_list. formulas(demodulators). 1 1 * x = x. [assumption]. 2 x * 1 = x. [assumption]. 3 x * (x \ y) = y. [assumption]. 4 x \ (x * y) = y. [assumption]. 5 (x * y) / y = x. [assumption]. 6 (x / y) * y = x. [assumption]. 7 ((x * y) / x) * (x * z) = x * (y * z) # label(LCC). [assumption]. 8 (x * y) * (y \ (z * y)) = (x * z) * y # label(RCC). [assumption]. 12 (x * y) * ((z * z) \ (z * z)) = x * (y * ((z * z) \ (z * z))). [copy(11),flip(a)]. 14 (x * y) * ((z * y) \ (y * z)) = x * (y * ((z * y) \ (y * z))). [copy(13),flip(a)]. 16 (x * y) * ((y * z) \ (z * y)) = x * (y * ((y * z) \ (z * y))). [copy(15),flip(a)]. 18 (x * y) * ((x * z) \ (z * x)) = x * (y * ((x * z) \ (z * x))). [copy(17),flip(a)]. 20 (x * y) * ((z * x) \ (x * z)) = x * (y * ((z * x) \ (x * z))). [copy(19),flip(a)]. 22 (x * x) * ((y * z) \ (z * y)) = x * (x * ((y * z) \ (z * y))). [copy(21),flip(a)]. 24 x \ 1 = i(x). [copy(23),flip(a)]. 26 1 / x = i(x). [copy(25),flip(a)]. 27 x * i(x) = 1. [assumption]. 28 i(x) * x = 1. [assumption]. 29 x * i(y * x) = i(y). [assumption]. 30 i(x * y) * x = i(y). [assumption]. end_of_list. % 1 hints processed (0 are redundant). ============================== end of clauses for search ============= ============================== SEARCH ================================ % Starting search at 0.00 seconds. NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 113 (0.00 of 37.23 sec). Low Water (keep, True_semantics): wt=98 Low Water (keep, True_semantics): wt=95 Low Water (keep, True_semantics): wt=91 Low Water (keep, True_semantics): wt=83 Low Water (keep, True_semantics): wt=79 Low Water (keep, True_semantics): wt=75 Low Water (keep, True_semantics): wt=73 Low Water (keep, True_semantics): wt=71 Low Water (keep, True_semantics): wt=67 Low Water (keep, True_semantics): wt=65 Low Water (keep, True_semantics): wt=63 Low Water (keep, True_semantics): wt=61 Low Water (keep, True_semantics): wt=59 Low Water (keep, True_semantics): wt=57 Low Water (keep, True_semantics): wt=55 Low Water (keep, True_semantics): wt=54 Low Water (keep, True_semantics): wt=52 Low Water (keep, True_semantics): wt=51 Low Water (keep, True_semantics): wt=49 Low Water (keep, True_semantics): wt=47 Low Water (keep, True_semantics): wt=45 Low Water (keep, True_semantics): wt=44 Low Water (keep, True_semantics): wt=43 Low Water (keep, True_semantics): wt=41 Low Water (keep, True_semantics): wt=40 Low Water (keep, True_semantics): wt=39 Low Water (keep, True_semantics): wt=38 Low Water (keep, True_semantics): wt=37 Low Water (keep, True_semantics): wt=36 Low Water (keep, True_semantics): wt=35 Low Water (keep, True_semantics): wt=34 Low Water (keep, True_semantics): wt=33 Low Water (keep, True_semantics): wt=32 Low Water (keep, True_semantics): wt=31 Low Water (keep, True_semantics): wt=30 Low Water (keep, True_semantics): wt=29 Low Water (keep, True_semantics): wt=28 Low Water (keep, True_semantics): wt=27 Low Water (keep, True_semantics): wt=26 Low Water (keep, True_semantics): wt=25 Low Water (keep, True_semantics): wt=24 Low Water (keep, True_semantics): wt=23 Demod_limit (see stdout) Demod_limit: (x \ ((((x * x) * y) / (x * (x * (x * (x * (x * x)))))) * i(x))) \ (i(x) \ x) = (y / ((((x * (x * (x * x))) * x) * x) * x)) \ x. 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Demod_limit (steps=0, size=45). The most recent kept clause is 250329. From here on, a short message will be printed for each 100 times the limit is hit. -------- Proof 1 -------- ============================== PROOF ================================= % Proof 1 at 1044.07 (+ 4.26) seconds. % Length of proof is 2505. % Level of proof is 76. % Maximum clause weight is 49. % Given clauses 3809. 1 1 * x = x. [assumption]. 2 x * 1 = x. [assumption]. 3 x * (x \ y) = y. [assumption]. 4 x \ (x * y) = y. [assumption]. 5 (x * y) / y = x. [assumption]. 6 (x / y) * y = x. [assumption]. 7 ((x * y) / x) * (x * z) = x * (y * z) # label(LCC). [assumption]. 8 (x * y) * (y \ (z * y)) = (x * z) * y # label(RCC). [assumption]. 9 A * (B * ((D * C) \ (C * D))) != (A * B) * ((D * C) \ (C * D)) # label("orig"). [assumption]. 10 (A * B) * ((D * C) \ (C * D)) != A * (B * ((D * C) \ (C * D))). [copy(9),flip(a)]. 13 x * (y * ((z * y) \ (y * z))) = (x * y) * ((z * y) \ (y * z)) # label("BC"). [assumption]. 14 (x * y) * ((z * y) \ (y * z)) = x * (y * ((z * y) \ (y * z))). [copy(13),flip(a)]. 15 x * (y * ((y * z) \ (z * y))) = (x * y) * ((y * z) \ (z * y)) # label("DB"). [assumption]. 16 (x * y) * ((y * z) \ (z * y)) = x * (y * ((y * z) \ (z * y))). [copy(15),flip(a)]. 17 x * (y * ((x * z) \ (z * x))) = (x * y) * ((x * z) \ (z * x)) # label("AD"). [assumption]. 18 (x * y) * ((x * z) \ (z * x)) = x * (y * ((x * z) \ (z * x))). [copy(17),flip(a)]. 19 x * (y * ((z * x) \ (x * z))) = (x * y) * ((z * x) \ (x * z)) # label("CA"). [assumption]. 20 (x * y) * ((z * x) \ (x * z)) = x * (y * ((z * x) \ (x * z))). [copy(19),flip(a)]. 21 x * (x * ((y * z) \ (z * y))) = (x * x) * ((y * z) \ (z * y)) # label("BA"). [assumption]. 22 (x * x) * ((y * z) \ (z * y)) = x * (x * ((y * z) \ (z * y))). [copy(21),flip(a)]. 23 i(x) = x \ 1. [assumption]. 24 x \ 1 = i(x). [copy(23),flip(a)]. 25 i(x) = 1 / x. [assumption]. 26 1 / x = i(x). [copy(25),flip(a)]. 27 x * i(x) = 1. [assumption]. 28 i(x) * x = 1. [assumption]. 29 x * i(y * x) = i(y). [assumption]. 33 1 \ x = x. [para(3(a,1),1(a,1)),flip(a)]. 34 x \ x = 1. [para(2(a,1),4(a,1,2))]. 35 x / x = 1. [para(1(a,1),5(a,1,1))]. 36 x / 1 = x. [para(2(a,1),5(a,1,1))]. 37 x / (y \ x) = y. [para(3(a,1),5(a,1,1))]. 38 (x / y) \ x = y. [para(6(a,1),4(a,1,2))]. 39 (x / y) * (y * z) = y * ((y \ x) * z). [para(3(a,1),7(a,1,1,1))]. 40 ((x * y) / x) * z = x * (y * (x \ z)). [para(3(a,1),7(a,1,2))]. 41 ((x * y) / x) \ (x * (y * z)) = x * z. [para(7(a,1),4(a,1,2))]. 42 (x * (y * z)) / (x * z) = (x * y) / x. [para(7(a,1),5(a,1,1))]. 46 x * ((y \ x) \ (z * (y \ x))) = (y * z) * (y \ x). [para(3(a,1),8(a,1,1))]. 47 (x * (y \ z)) * ((y \ z) \ z) = (x * y) * (y \ z). [para(3(a,1),8(a,1,2,2))]. 48 (x * y) \ ((x * z) * y) = y \ (z * y). [para(8(a,1),4(a,1,2))]. 49 ((x * y) * z) / (z \ (y * z)) = x * z. [para(8(a,1),5(a,1,1))]. 50 ((x / y) * z) * y = x * (y \ (z * y)). [para(6(a,1),8(a,1,1)),flip(a)]. 51 (x * (y / z)) * z = (x * z) * (z \ y). [para(6(a,1),8(a,1,2,2)),flip(a)]. 53 (x * (y \ (z * y))) * ((y \ (z * y)) \ ((u * z) * y)) = (x * (u * y)) * (y \ (z * y)). [para(8(a,1),8(a,1,2,2))]. 54 x * (y * ((x * y) \ (y * x))) = y * x. [para(14(a,1),3(a,1))]. 60 x * ((x \ y) * ((z * x) \ (x * z))) = y * ((z * x) \ (x * z)). [para(6(a,1),14(a,1,1)),rewrite(39(10)),flip(a)]. 76 x * ((x \ y) * ((x * z) \ (z * x))) = y * ((x * z) \ (z * x)). [para(6(a,1),16(a,1,1)),rewrite(39(10)),flip(a)]. 95 (x * y) \ (x * (y * ((x * z) \ (z * x)))) = (x * z) \ (z * x). [para(18(a,1),4(a,1,2))]. 96 (x * (y * ((x * z) \ (z * x)))) / ((x * z) \ (z * x)) = x * y. [para(18(a,1),5(a,1,1))]. 97 x * ((x \ y) * (((y / x) * z) \ (z * (y / x)))) = y * (((y / x) * z) \ (z * (y / x))). [para(6(a,1),18(a,1,1)),rewrite(39(14)),flip(a)]. 124 x * ((x \ y) * ((z * (y / x)) \ ((y / x) * z))) = y * ((z * (y / x)) \ ((y / x) * z)). [para(6(a,1),20(a,1,1)),rewrite(39(14)),flip(a)]. 156 (x * (x * ((y * z) \ (z * y)))) / ((y * z) \ (z * y)) = x * x. [para(22(a,1),5(a,1,1))]. 187 i(1) = 1. [para(27(a,1),1(a,1)),flip(a)]. 188 i(i(x)) = x. [para(27(a,1),5(a,1,1)),rewrite(26(3))]. 189 i(x) \ (y * i(x)) = (x * y) * i(x). [para(27(a,1),8(a,1,1)),rewrite(1(6))]. 190 (x * i(y)) * y = (x * y) * i(y). [para(27(a,1),8(a,1,2,2)),rewrite(24(5),188(4))]. 191 (x * i(x * y)) * (i(x * y) \ i(x)) = 1. [para(27(a,1),8(a,2)),rewrite(29(8))]. 196 (i(x) * y) * x = x \ (y * x). [para(28(a,1),8(a,1,1)),rewrite(1(4)),flip(a)]. 201 (x \ y) * i(y) = i(x). [para(3(a,1),29(a,1,2,1))]. 202 i(x * y) = y \ i(x). [para(29(a,1),4(a,1,2)),flip(a)]. 203 i(x / y) = y * i(x). [para(6(a,1),29(a,1,2,1)),flip(a)]. 204 (x \ (y * x)) * (x \ (y \ i(z))) = x \ i(z). [para(8(a,1),29(a,1,2,1)),rewrite(202(5),202(4),202(8))]. 210 (x \ i(y)) * y = i(x). [para(29(a,1),29(a,1,2,1)),rewrite(202(2),188(4))]. 211 (x * y) * (y \ i(x)) = 1. [back_rewrite(191),rewrite(202(2),202(5),47(8))]. 212 (x \ y) \ i(x) = i(y). [para(201(a,1),4(a,1,2))]. 214 i(x) * ((y * z) * i(y)) = ((x \ y) * z) * i(y). [para(201(a,1),8(a,1,1)),rewrite(189(5))]. 215 (x * i(y)) * (i(y) \ i(z)) = (x * (z \ y)) * i(y). [para(201(a,1),8(a,1,2,2))]. 216 (x \ y) * (i(y) * ((z * i(y)) \ (i(y) * z))) = i(x) * ((z * i(y)) \ (i(y) * z)). [para(201(a,1),14(a,1,1)),flip(a)]. 219 (x \ y) * (i(y) * ((i(y) * z) \ (z * i(y)))) = i(x) * ((i(y) * z) \ (z * i(y))). [para(201(a,1),16(a,1,1)),flip(a)]. 233 (x * ((y * z) \ (z * y))) \ i(y) = ((y * z) \ (z * y)) \ (x \ i(y)). [para(18(a,1),202(a,1,1)),rewrite(202(6),202(11))]. 238 (x \ (y * z)) * (z \ i(y)) = i(x). [para(202(a,1),201(a,1,2))]. 240 x * ((x \ y) * (x \ z)) = (y / x) * z. [para(3(a,1),39(a,1,2)),flip(a)]. 241 (x / y) \ (y * ((y \ x) * z)) = y * z. [para(39(a,1),4(a,1,2))]. 242 x * ((x \ (y * x)) * z) = y * (x * z). [para(5(a,1),39(a,1,1)),flip(a)]. 243 (x / y) * (((x / y) \ z) * y) = (z / (x / y)) * x. [para(6(a,1),39(a,1,2)),flip(a)]. 246 (x * y) * (((x * y) \ z) * (y \ (u * y))) = (z / (x * y)) * ((x * u) * y). [para(8(a,1),39(a,1,2)),flip(a)]. 266 i(x) * (x * y) = x * (i(x) * y). [para(24(a,1),39(a,2,2,1)),rewrite(26(2))]. 269 (x \ y) * (((x \ y) \ y) * z) = x * ((x \ y) * z). [para(37(a,1),39(a,1,1)),flip(a)]. 270 (x \ y) * (((x \ y) \ z) * i(y)) = (z / (x \ y)) * i(x). [para(201(a,1),39(a,1,2)),flip(a)]. 271 ((x \ y) * z) \ i(x) = (x * z) \ (x * i(y)). [para(39(a,1),202(a,1,1)),rewrite(202(4),203(7))]. 273 (x * i(y)) * (y / x) = 1. [para(203(a,1),28(a,1,1))]. 274 i(x) \ i(y) = x / y. [para(203(a,1),188(a,1,1)),rewrite(202(3))]. 275 (x \ (y / z)) * (z * i(y)) = i(x). [para(203(a,1),201(a,1,2))]. 276 (x * (y \ z)) * i(z) = (x * i(z)) * (z / y). [back_rewrite(215),rewrite(274(5)),flip(a)]. 277 i(x) / y = x \ i(y). [para(210(a,1),5(a,1,1))]. 278 ((x \ i(y)) * z) * y = i(x) * (y \ (z * y)). [para(210(a,1),8(a,1,1)),flip(a)]. 279 (x * (y \ i(z))) * z = (x * z) * (z \ i(y)). [para(210(a,1),8(a,1,2,2)),flip(a)]. 297 (x \ i(y)) * (((x \ i(y)) \ z) * y) = (z / (x \ i(y))) * i(x). [para(210(a,1),39(a,1,2)),flip(a)]. 298 (x \ (y * i(z))) * (z / y) = i(x). [para(203(a,1),210(a,1,1,2))]. 299 (i(x) \ y) \ x = i(y). [para(188(a,1),212(a,1,2))]. 300 i(x \ y) = i(y) * x. [para(212(a,1),201(a,1,1)),rewrite(188(3)),flip(a)]. 301 ((x * y) \ z) \ (y \ i(x)) = i(z). [para(202(a,1),212(a,1,2))]. 303 ((x / y) \ z) \ (y * i(x)) = i(z). [para(203(a,1),212(a,1,2))]. 304 i(x) * (x / y) = i(y). [para(274(a,1),3(a,1,2))]. 305 x / i(y) = i(x) \ y. [para(188(a,1),274(a,1,2)),flip(a)]. 306 (x \ i(y)) \ i(z) = (y * x) / z. [para(202(a,1),274(a,1,1))]. 307 i(x) \ (y \ i(z)) = x / (z * y). [para(202(a,1),274(a,1,2))]. 308 (x \ y) * (i(y) * z) = i(y) * ((y / x) * z). [para(274(a,1),39(a,2,2,1)),rewrite(305(3),188(2))]. 309 (x * i(y)) \ i(z) = (y / x) / z. [para(203(a,1),274(a,1,1))]. 310 i(x) \ (y * i(z)) = x / (z / y). [para(203(a,1),274(a,1,2))]. 315 i(x) * ((x / y) * ((i(x) * z) \ (z * i(x)))) = i(y) * ((i(x) * z) \ (z * i(x))). [back_rewrite(219),rewrite(308(9))]. 316 i(x) * ((x / y) * ((z * i(x)) \ (i(x) * z))) = i(y) * ((z * i(x)) \ (i(x) * z)). [back_rewrite(216),rewrite(308(9))]. 317 (x * y) * i(x) = x / (x / y). [back_rewrite(189),rewrite(310(4)),flip(a)]. 318 ((x \ y) * z) * i(y) = i(x) * (y / (y / z)). [back_rewrite(214),rewrite(317(4)),flip(a)]. 319 x * (y * i(x)) = (x * y) / x. [para(40(a,1),2(a,1)),rewrite(24(2))]. 320 x * (y * (x \ (((x * y) / x) \ z))) = z. [para(40(a,1),3(a,1))]. 321 (x * (y * (x \ z))) / z = (x * y) / x. [para(40(a,1),5(a,1,1))]. 322 x * ((x \ y) * ((y / x) \ z)) = (y / (y / x)) * z. [para(6(a,1),40(a,1,1,1)),rewrite(39(8)),flip(a)]. 327 (x * y) * ((z * (u * (z \ y))) \ (y * ((z * u) / z))) = x * (y * ((z * (u * (z \ y))) \ (y * ((z * u) / z)))). [para(40(a,1),14(a,1,2,1)),rewrite(40(12))]. 344 x * (i(x) * (x \ y)) = i(x) * y. [para(27(a,1),40(a,1,1,1)),rewrite(26(2)),flip(a)]. 347 (x * (y \ z)) \ i(y) = z \ (y * (x \ i(y))). [para(40(a,1),202(a,1,1)),rewrite(202(4),203(7),202(6))]. 350 (x \ i(y)) * (y * ((x \ i(y)) \ z)) = (x \ (y * x)) * z. [para(210(a,1),40(a,1,1,1)),rewrite(277(4),300(3),188(2)),flip(a)]. 352 ((x \ y) \ y) * i(z) = i(y) * (x * (y / z)). [para(274(a,1),40(a,2,2,2)),rewrite(305(4),202(3),188(2))]. 362 (x \ i(y)) / z = (y * x) \ i(z). [para(202(a,1),277(a,1,1))]. 363 (x \ i(y)) * (y * z) = y * ((y \ i(x)) * z). [para(277(a,1),39(a,1,1))]. 364 (x * i(y)) / z = (y / x) \ i(z). [para(203(a,1),277(a,1,1))]. 365 x * ((x \ i(y)) * ((y \ i(x)) \ z)) = (y \ (x * y)) * z. [back_rewrite(350),rewrite(363(7))]. 368 ((x \ i(y)) \ z) \ (y * x) = i(z). [para(202(a,1),299(a,1,1,1))]. 369 ((x * i(y)) \ z) \ (y / x) = i(z). [para(203(a,1),299(a,1,1,1))]. 370 (i(x) * y) * (y \ x) = 1. [para(300(a,1),28(a,1,1))]. 372 (x \ (i(y) * z)) * (z \ y) = i(x). [para(300(a,1),210(a,1,1,2))]. 374 (i(x) * y) \ i(z) = (y \ x) / z. [para(300(a,1),274(a,1,1))]. 375 i(x) \ (i(y) * z) = x / (z \ y). [para(300(a,1),274(a,1,2))]. 376 (i(x) * y) / z = (y \ x) \ i(z). [para(300(a,1),277(a,1,1))]. 377 ((i(x) * y) \ z) \ (y \ x) = i(z). [para(300(a,1),299(a,1,1,1))]. 384 (x * (y / z)) * ((y / z) \ i(z)) = (x * i(y)) * (y / z). [para(304(a,1),8(a,1,2,2))]. 387 (x * i(y)) * ((y / (y / z)) / z) = x * (i(y) * ((y / (y / z)) / z)). [para(304(a,1),14(a,1,2,2)),rewrite(309(7),304(13),309(12))]. 397 (x \ i(y)) * ((y * x) / z) = i(z). [para(202(a,1),304(a,1,1))]. 401 (i(x) * y) * ((y \ x) / z) = i(z). [para(300(a,1),304(a,1,1))]. 402 ((x * y) / x) \ (x * z) = x * (y \ z). [para(3(a,1),41(a,1,2,2))]. 403 (x / (x / y)) \ (y * ((y \ x) * z)) = (x / y) * z. [para(6(a,1),41(a,1,1,1)),rewrite(39(5))]. 412 ((x * y) / x) \ x = x * i(y). [para(27(a,1),41(a,1,2,2)),rewrite(2(4))]. 420 (x * y) \ (x * (z \ i(x))) = (z * y) \ i(x). [para(41(a,1),212(a,1,1)),rewrite(203(4),202(3),202(8))]. 423 (x \ y) \ (i(y) * ((y / x) * z)) = i(y) * z. [para(304(a,1),41(a,1,1,1)),rewrite(305(3),188(2))]. 426 x / (y \ i(z)) = i(x) \ (z * y). [para(202(a,1),305(a,1,2))]. 427 x / (y * i(z)) = i(x) \ (z / y). [para(203(a,1),305(a,1,2))]. 428 i(x) * (y * (i(x) \ z)) = ((y \ x) \ x) * z. [para(305(a,1),40(a,1,1)),rewrite(202(3),188(2)),flip(a)]. 429 x / (i(y) * z) = i(x) \ (z \ y). [para(300(a,1),305(a,1,2))]. 430 (x \ i(y)) * (((x \ i(y)) \ z) * y) = (i(z) \ (y * x)) * i(x). [back_rewrite(297),rewrite(426(10))]. 431 (x \ i(y)) \ (z * (x \ i(y))) = ((y * x) * z) * (x \ i(y)). [para(211(a,1),8(a,1,1)),rewrite(1(8))]. 432 (x * (y \ i(z))) * (z * y) = (x * (z * y)) * (y \ i(z)). [para(211(a,1),8(a,1,2,2)),rewrite(24(7),300(6),188(5))]. 446 ((x / y) * z) * (z \ (y * i(x))) = 1. [para(203(a,1),211(a,1,2,2))]. 458 (x * (y * i(z))) * ((z / y) / x) = 1. [para(203(a,1),273(a,1,1,2))]. 463 (x * (i(y) * z)) * (z \ y) = (x * (z \ y)) * (i(y) * z). [para(370(a,1),8(a,1,2,2)),rewrite(24(5),300(4)),flip(a)]. 471 ((x \ i(y)) * z) * (z \ (y * x)) = 1. [para(202(a,1),370(a,1,1,1))]. 476 (x * y) / (x * (z \ y)) = (x * z) / x. [para(3(a,1),42(a,1,1,2))]. 477 (x * (y / z)) / x = (x * y) / (x * z). [para(6(a,1),42(a,1,1,2)),flip(a)]. 480 (x * ((x \ y) * z)) / ((y / x) * z) = y / (y / x). [para(6(a,1),42(a,2,1)),rewrite(39(3))]. 482 ((x * y) * (z * (y \ (u * y)))) / ((x * u) * y) = ((x * y) * z) / (x * y). [para(8(a,1),42(a,1,2))]. 493 i(x) \ (y / x) = (x * y) / x. [para(27(a,1),42(a,1,1,2)),rewrite(2(2),427(3))]. 494 (x / y) \ i(y) = y / (y * x). [para(28(a,1),42(a,1,1,2)),rewrite(2(2),364(5)),flip(a)]. 495 i(x) * (y * x) = (y \ x) \ x. [para(28(a,1),42(a,1,2)),rewrite(36(5),305(7),202(6),188(5))]. 496 (x * (y \ z)) / x = (y / x) \ (z / x). [para(201(a,1),42(a,1,1,2)),rewrite(427(5),202(3),274(3)),flip(a)]. 497 ((x * i(y)) \ (i(y) * z)) \ z = ((z \ y) * x) / (z \ y). [para(201(a,1),42(a,1,2)),rewrite(305(6),202(5),300(4))]. 503 ((x * y) \ (y * z)) \ z = (x \ (y * z)) \ (y * z). [para(210(a,1),42(a,1,2)),rewrite(305(6),202(5),300(4),188(3),426(10),202(8),300(7),188(6))]. 506 (x * (y * (z * (y \ u)))) / (x * u) = (x * (y * z)) / (x * y). [para(40(a,1),42(a,1,1,2)),rewrite(477(10))]. 509 ((x * (y / z)) \ y) \ z = (x \ y) \ y. [para(304(a,1),42(a,1,2)),rewrite(305(6),202(5),188(4),305(8),202(7),188(6))]. 511 ((x * y) \ z) \ (y \ z) = (x \ z) \ z. [para(305(a,1),42(a,2)),rewrite(429(6),202(4),188(3),202(7),188(6))]. 513 (x * y) * (z * (y \ i(x))) = ((x * y) * z) / (x * y). [para(211(a,1),42(a,1,2)),rewrite(36(7))]. 517 (i(x) * y) * (z * (y \ x)) = (z \ (y \ x)) \ (y \ x). [para(370(a,1),42(a,1,2)),rewrite(36(7),429(11),202(9),202(8),188(7))]. 519 (x * (y / z)) * (z / (z * y)) = (x * i(y)) * (y / z). [back_rewrite(384),rewrite(494(5))]. 520 (x \ (i(y) * z)) \ (i(y) * z) = ((z \ y) * x) / (z \ y). [back_rewrite(497),rewrite(503(6))]. 522 (i(x) * y) \ (x \ (y * x)) = x. [para(196(a,1),4(a,1,2))]. 523 (x \ (y * x)) / x = i(x) * y. [para(196(a,1),5(a,1,1))]. 524 (x \ (y * x)) * (x \ (z * x)) = ((i(x) * y) * z) * x. [para(196(a,1),8(a,1,1))]. 525 (x * y) * (y \ (y \ (z * y))) = (x * (i(y) * z)) * y. [para(196(a,1),8(a,1,2,2))]. 554 (x \ i(y)) * x = x \ (y \ x). [para(196(a,1),202(a,1,1)),rewrite(300(3),202(2),202(6),188(5))]. 556 (i(x) * y) * (((i(x) * y) \ z) * x) = (i(z) \ (y \ x)) * (x \ (y * x)). [para(196(a,1),39(a,1,2)),rewrite(429(3)),flip(a)]. 558 x \ ((x / y) * x) = i(y) * x. [para(304(a,1),196(a,1,1)),flip(a)]. 566 x / (x / (x \ y)) = y * i(x). [para(3(a,1),317(a,1,1)),flip(a)]. 567 (x * y) \ (x / (x / y)) = i(x). [para(317(a,1),4(a,1,2))]. 570 (x / y) / ((x / y) / y) = (x * y) / x. [para(6(a,1),317(a,1,1)),rewrite(203(2),319(3)),flip(a)]. 571 (x / (x / y)) * (x / (x / z)) = ((x * y) * z) * i(x). [para(317(a,1),8(a,1,1)),rewrite(310(6))]. 593 (x \ y) / ((i(y) * x) \ y) = (i(y) \ x) \ x. [para(201(a,1),317(a,1,1)),rewrite(300(3),495(4),305(7),300(6)),flip(a)]. 594 (x / y) * i(x) = x / (x * y). [para(317(a,1),202(a,1,1)),rewrite(203(3),202(6),307(7))]. 595 ((x * y) * z) * (y \ i(x)) = (x * y) / ((x * y) / z). [para(202(a,1),317(a,1,2))]. 597 (x * ((x \ y) * z)) * (x * i(y)) = (y / x) / ((y / x) / (x * z)). [para(39(a,1),317(a,1,1)),rewrite(203(5))]. 599 (x * y) \ (x * (x * y)) = (x \ y) \ y. [para(210(a,1),317(a,1,1)),rewrite(300(4),188(3),495(3),362(7),426(8),300(5),188(4)),flip(a)]. 602 ((x \ y) * z) * (i(y) * x) = (x \ y) / ((x \ y) / z). [para(300(a,1),317(a,1,2))]. 606 (x \ (y * x)) * (y \ x) = (y \ x) \ (x * (y \ x)). [para(196(a,1),317(a,1,1)),rewrite(202(5),188(4),376(9),426(10),202(7),188(6))]. 608 (x \ i(y)) \ (z * (x \ i(y))) = (y * x) / ((y * x) / z). [back_rewrite(431),rewrite(595(11))]. 610 x \ ((x * y) / x) = y * i(x). [para(319(a,1),4(a,1,2))]. 629 i(x) * ((x / y) * (i(x) * y)) = y \ (i(x) * y). [para(201(a,1),319(a,2,1)),rewrite(300(4),308(6),277(9),300(8))]. 630 x * (y \ i(x)) = (x / y) / x. [para(319(a,1),202(a,1,1)),rewrite(203(3),202(2),309(7))]. 634 (x / y) * (z * (y * i(x))) = ((x / y) * z) / (x / y). [para(203(a,1),319(a,1,2,2))]. 641 ((x \ y) \ y) * ((x * y) \ y) = 1. [para(319(a,1),370(a,1,1)),rewrite(305(4),202(3),188(2),188(4))]. 644 ((x \ y) \ y) * y = y \ ((x * y) * y). [para(319(a,1),196(a,1,1)),rewrite(305(4),202(3),188(2),188(5))]. 646 x * (x / (x / y)) = (x * (x * y)) / x. [para(196(a,1),319(a,1,2)),rewrite(310(4),188(5))]. 647 x * (y * (x \ i(x))) = x / (i(x) \ (x / y)). [para(319(a,1),317(a,1,1)),rewrite(40(4),427(7))]. 651 (x * y) \ ((x / z) / x) = (z * y) \ i(x). [back_rewrite(420),rewrite(630(4))]. 657 (x * (y \ z)) \ i(y) = z \ ((y / x) / y). [back_rewrite(347),rewrite(630(7))]. 664 x * (i(y) * x) = (y / x) \ x. [para(3(a,1),412(a,1,1,1)),rewrite(300(4)),flip(a)]. 665 (x / (x / y)) \ (x / y) = (x / y) * i(y). [para(6(a,1),412(a,1,1,1))]. 672 i(x) \ x = x * x. [para(27(a,1),412(a,1,1,1)),rewrite(26(2),188(4))]. 673 i(x) * i(x) = x \ i(x). [para(28(a,1),412(a,1,1,1)),rewrite(305(3),187(2),33(2)),flip(a)]. 674 x / (i(x) \ y) = (x / y) / x. [para(412(a,1),201(a,1,1)),rewrite(317(4),305(2),203(6),202(5),630(6))]. 675 (x \ (i(y) * x)) \ (x \ y) = (x \ y) * y. [para(201(a,1),412(a,1,1,1)),rewrite(277(3),300(2),188(8))]. 678 ((x * y) / (x * z)) \ x = x * (z * i(y)). [para(203(a,1),412(a,2,2)),rewrite(477(3))]. 679 i(x) * (y \ x) = x \ (i(y) * x). [para(412(a,1),210(a,1,1)),rewrite(196(4),305(7),202(6),188(5),300(6)),flip(a)]. 683 ((x / y) \ (z / y)) \ y = y * (i(z) * x). [para(300(a,1),412(a,2,2)),rewrite(496(3))]. 684 i(x) * (y * i(x)) = (y \ x) \ i(x). [para(304(a,1),412(a,1,1,1)),rewrite(305(3),188(2),203(6)),flip(a)]. 687 (x * i(y)) * (x * i(y)) = (y / x) \ (x * i(y)). [para(273(a,1),412(a,1,1,1)),rewrite(427(4),187(2),33(3),203(8)),flip(a)]. 692 x * (y * (x \ i(x))) = (x / (x / y)) / x. [back_rewrite(647),rewrite(674(8))]. 693 (x * x) * (x \ y) = y * ((x \ y) \ y). [para(3(a,1),46(a,1,2,2)),flip(a)]. 694 (x \ y) \ (z * (x \ y)) = y \ ((x * z) * (x \ y)). [para(46(a,1),4(a,1,2)),flip(a)]. 703 ((x / y) \ y) * (y \ x) = x * (i(x) * y). [para(28(a,1),46(a,1,2,2)),rewrite(24(3),300(2),300(5),664(6)),flip(a)]. 713 i(x) \ ((y * z) * (y \ i(x))) = (x * y) / ((x * y) / z). [back_rewrite(608),rewrite(694(6))]. 714 (x \ (y * x)) * (y \ x) = x \ ((y * x) * (y \ x)). [back_rewrite(606),rewrite(694(8))]. 727 x / (x * x) = i(x). [para(672(a,1),37(a,1,2))]. 731 i(x) * (y * (x * x)) = x \ ((y * x) * x). [para(672(a,1),40(a,2,2,2)),rewrite(305(4),202(3),188(2),644(3)),flip(a)]. 733 (i(x) * y) \ (y \ x) = (y \ x) * (y \ x). [para(300(a,1),672(a,1,1))]. 736 (x \ i(x)) * (x / (x / y)) = (i(x) * y) * i(x). [para(673(a,1),8(a,1,1)),rewrite(310(6))]. 740 (x \ i(y)) * (x \ i(y)) = (y * x) \ (x \ i(y)). [para(202(a,1),673(a,1,1)),rewrite(202(4),202(8))]. 783 (x * (y * i(z))) * ((y * i(z)) \ y) = (x * ((y * z) / y)) * (y * i(z)). [para(412(a,1),47(a,1,1,2)),rewrite(412(6),412(13))]. 786 (x * (y * x)) / x = i(x) \ y. [para(5(a,1),493(a,1,2)),flip(a)]. 794 (x / y) / ((y * x) / y) = i(y). [para(493(a,1),37(a,1,2))]. 795 ((x \ y) * y) / (x \ y) = (i(y) * x) \ x. [para(37(a,1),493(a,1,2)),rewrite(300(2)),flip(a)]. 796 x \ (i(y) \ x) = (y \ x) \ x. [para(188(a,1),493(a,1,1)),rewrite(305(2),305(7),202(6),188(5))]. 800 (x * i(y)) \ (z / (y / x)) = ((y / x) * z) / (y / x). [para(203(a,1),493(a,1,1))]. 808 ((x * y) / x) / x = x / (x * (x / y)). [para(319(a,1),493(a,2,1)),rewrite(364(4),307(5)),flip(a)]. 809 ((x * x) * x) / (x * x) = x. [para(727(a,1),493(a,1,2)),rewrite(202(2),212(4),188(2)),flip(a)]. 817 (x * x) * x = x * (x * x). [para(809(a,1),6(a,1,1)),flip(a)]. 818 (x * x) * (x * y) = x * ((x * x) * y). [para(809(a,1),39(a,1,1)),rewrite(817(7),599(8),34(5),33(6)),flip(a)]. 825 (x * x) \ i(x) = x \ (x \ i(x)). [para(817(a,1),202(a,1,1)),rewrite(202(3),202(5))]. 828 x * ((x \ y) * ((x \ y) * (x \ y))) = (((y / x) * y) / x) * y. [para(817(a,1),40(a,2,2)),rewrite(240(4)),flip(a)]. 832 (x * (y * (y * y))) / (x * y) = (x * (y * y)) / x. [para(817(a,1),42(a,1,1,2))]. 836 (x / y) * (y / (y * x)) = i(y). [para(494(a,1),3(a,1,2))]. 837 x / (x * (y * x)) = y \ i(x). [para(5(a,1),494(a,1,1)),flip(a)]. 845 x \ (x / (x / y)) = y / x. [para(494(a,1),37(a,1,2)),rewrite(277(4),203(3),317(3))]. 846 (x \ y) / ((x \ y) * y) = x \ (i(y) * x). [para(37(a,1),494(a,1,1)),rewrite(300(2)),flip(a)]. 847 (i(x) \ y) \ y = y \ (x \ y). [para(188(a,1),494(a,1,2)),rewrite(305(2),429(7),188(5))]. 849 (x / (y * z)) \ (z \ i(y)) = (y * z) / ((y * z) * x). [para(202(a,1),494(a,1,2))]. 850 (x / y) * ((y / (y * x)) * z) = i(x) * ((x / y) * z). [para(494(a,1),39(a,2,2,1)),rewrite(277(3),203(2),4(3)),flip(a)]. 854 x * (y / x) = x / (x / y). [para(494(a,1),300(a,1,1)),rewrite(203(3),317(3),188(4)),flip(a)]. 855 (x / (y \ z)) \ (i(z) * y) = (y \ z) / ((y \ z) * x). [para(300(a,1),494(a,1,2))]. 859 (x * x) / (x * y) = x / ((x * y) / x). [para(319(a,1),494(a,2,2)),rewrite(364(3),306(5),477(3))]. 862 (x \ y) / ((i(y) * x) \ y) = x \ (y \ x). [back_rewrite(593),rewrite(847(8))]. 877 (x * y) \ (z * y) = y \ ((x \ z) * y). [para(3(a,1),48(a,1,2,1))]. 890 (x \ ((y * z) \ (z * y))) \ ((y * z) \ (z * y)) = (z * y) \ (((y * z) * x) * ((y * z) \ (z * y))). [para(22(a,1),48(a,1,2)),rewrite(599(10),694(16))]. 891 x \ (i(y) * x) = (y * x) \ x. [para(27(a,1),48(a,1,2,1)),rewrite(1(3)),flip(a)]. 892 (i(x) * y) \ y = y \ (x * y). [para(28(a,1),48(a,1,2,1)),rewrite(1(4))]. 895 (x \ (y \ i(z))) * (z * x) = x \ (y \ x). [para(48(a,1),300(a,1,1)),rewrite(300(3),202(2),554(3),202(5),202(4)),flip(a)]. 897 x \ ((y \ i(z)) * x) = ((z * y) * x) \ x. [para(211(a,1),48(a,1,2,1)),rewrite(1(4)),flip(a)]. 910 (x \ y) / ((x \ y) * y) = (y * x) \ x. [back_rewrite(846),rewrite(891(7))]. 916 i(x) * (y \ x) = (y * x) \ x. [back_rewrite(679),rewrite(891(6))]. 917 ((x * y) \ y) \ (y \ x) = (y \ x) * x. [back_rewrite(675),rewrite(891(3))]. 918 i(x) * ((x / y) * (i(x) * y)) = (x * y) \ y. [back_rewrite(629),rewrite(891(9))]. 923 ((x \ y) * y) / (x \ y) = x \ (y * x). [back_rewrite(795),rewrite(892(7))]. 924 (x * y) \ ((x * y) / x) = y / (x * y). [para(5(a,1),845(a,1,2,2))]. 925 (x / (x / y)) / (y / x) = x. [para(845(a,1),37(a,1,2))]. 926 (x \ y) / y = y \ (y / x). [para(37(a,1),845(a,1,2,2)),flip(a)]. 928 i(x) \ (x \ (y * x)) = i(y) \ x. [para(277(a,1),845(a,1,2,2)),rewrite(426(5),188(3),305(6))]. 929 x \ ((x / y) / x) = y \ i(x). [para(277(a,1),845(a,2)),rewrite(305(2),674(3))]. 930 x / (x \ (y \ x)) = i(y) \ x. [para(845(a,1),305(a,2)),rewrite(277(3),426(4),188(2),300(3),202(2),554(3),305(5))]. 939 (x \ y) / (y \ (y / x)) = (x \ y) * x. [para(37(a,1),854(a,1,2)),rewrite(926(5)),flip(a)]. 940 (x / y) * (y / (y / z)) = y * ((y \ x) * (z / y)). [para(854(a,1),39(a,1,2))]. 941 ((x / (x / y)) / x) * z = x * ((y / x) * (x \ z)). [para(854(a,1),40(a,1,1,1))]. 946 x \ ((i(y) \ x) * x) = (x \ (y * x)) * x. [para(854(a,1),196(a,1,1)),rewrite(277(3),426(4),188(2),305(5)),flip(a)]. 947 x / (x * (x / y)) = x / (x / (y / x)). [para(854(a,1),317(a,1,1)),rewrite(594(4))]. 948 ((x / (x / y)) / x) \ x = x * (x * i(y)). [para(854(a,1),412(a,1,1,1)),rewrite(203(6))]. 950 ((x * y) / x) / x = x / (x / (y / x)). [back_rewrite(808),rewrite(947(6))]. 951 ((x * y) / x) / (y / (x * y)) = x * y. [para(5(a,1),925(a,1,1,2))]. 954 ((x * (y * z)) / ((x * y) / x)) / ((x * z) / (x * (y * z))) = x * (y * z). [para(42(a,1),925(a,1,1,2))]. 961 (x \ (x / y)) * x = y \ x. [para(926(a,1),6(a,1,1))]. 962 (x \ (x / y)) \ (y \ x) = x. [para(926(a,1),38(a,1,1))]. 963 (x \ (x / y)) * (x * z) = x * ((x \ (y \ x)) * z). [para(926(a,1),39(a,1,1))]. 964 (x * y) * i(y) = y * (i(y) * x). [para(926(a,1),203(a,1,1)),rewrite(300(3),203(2),190(3),300(5))]. 966 (x * i(y)) \ x = i(x) \ (x \ y). [para(274(a,1),926(a,1,1)),rewrite(305(3),203(2),305(7),188(6))]. 967 x / (y * x) = (x * y) \ x. [para(277(a,1),926(a,2,2)),rewrite(305(4),300(3),188(2),307(6)),flip(a)]. 971 i(x) \ (x \ (x / y)) = x * i(y). [para(926(a,1),493(a,1,2)),rewrite(496(7),35(6),24(7),203(6))]. 984 (x * i(y)) * y = y * (i(y) * x). [back_rewrite(190),rewrite(964(6))]. 986 (x * (y * i(z))) * (i(y) \ (y \ z)) = (x * ((y * z) / y)) * (y * i(z)). [back_rewrite(783),rewrite(966(6))]. 987 ((x * y) / x) / ((y * x) \ y) = x * y. [back_rewrite(951),rewrite(967(4))]. 988 (x * y) \ ((x * y) / x) = (y * x) \ y. [back_rewrite(924),rewrite(967(6))]. 990 (x * y) / (y \ (z * y)) = (x / z) * y. [para(6(a,1),49(a,1,1,1))]. 1008 x / (x \ (y * x)) = i(y) * x. [para(28(a,1),49(a,1,1,1)),rewrite(1(2))]. 1009 (x \ (x / y)) \ x = y * x. [para(28(a,1),49(a,1,2,2)),rewrite(984(3),24(5),305(5),202(4),374(4),926(2))]. 1010 (x \ y) \ ((z \ x) \ x) = (y \ z) * x. [para(201(a,1),49(a,1,1,1)),rewrite(891(5),376(5),300(4),495(4))]. 1018 (((x * y) * y) * z) * (z \ (y \ i(x))) = ((x * y) * z) / (x * z). [para(49(a,1),317(a,2,2)),rewrite(8(5),202(6),202(5))]. 1027 ((x * y) * (y \ z)) / (((y \ z) \ z) \ z) = x * ((y \ z) \ z). [para(47(a,1),49(a,1,1)),rewrite(3(9))]. 1042 (x * (y \ (y / z))) * y = (x * y) * (y \ (z \ y)). [para(961(a,1),8(a,1,2,2)),flip(a)]. 1055 (x \ y) * x = (y \ x) \ x. [para(37(a,1),961(a,1,1,2))]. 1057 x * ((x \ (y \ x)) * ((x \ (x / y)) \ z)) = ((x \ y) \ y) * z. [para(961(a,1),40(a,1,1,1)),rewrite(939(4),1055(2),963(10)),flip(a)]. 1070 x \ ((i(y) \ x) * x) = ((y * x) \ x) \ x. [back_rewrite(946),rewrite(1055(7))]. 1071 (x \ y) / (y \ (y / x)) = (y \ x) \ x. [back_rewrite(939),rewrite(1055(6))]. 1086 ((x * y) \ x) \ (y \ (x * y)) = x * y. [para(5(a,1),962(a,1,1,2))]. 1088 (i(x) \ (x \ y)) \ (y / x) = i(x). [para(274(a,1),962(a,1,2)),rewrite(305(4),188(3))]. 1091 (x / y) \ (x / (x * y)) = i(x). [para(494(a,1),962(a,1,2)),rewrite(277(4),203(3),4(4),274(3))]. 1093 ((x \ y) \ (y \ (y / x))) \ (y \ (x \ y)) = x \ y. [para(926(a,1),962(a,1,1,2))]. 1094 ((x \ y) \ y) \ (y \ x) = x \ (x / y). [para(3(a,1),967(a,1,2)),rewrite(926(2),1055(4)),flip(a)]. 1095 (x / y) / (y / (y / x)) = x \ (x / y). [para(6(a,1),967(a,2,1)),rewrite(854(3))]. 1099 ((x * y) \ (y * x)) / (x * (z * ((x * y) \ (y * x)))) = (((x * y) \ (y * x)) * (x * z)) \ ((x * y) \ (y * x)). [para(18(a,1),967(a,1,2))]. 1104 ((x * y) \ x) * ((y * x) * z) = (y * x) * (((y * x) \ x) * z). [para(967(a,1),39(a,1,1))]. 1106 ((x / y) / x) \ x = i(x) \ y. [para(210(a,1),967(a,1,2)),rewrite(305(2),630(5)),flip(a)]. 1108 ((x * y) * x) \ x = x \ i(y). [para(967(a,1),304(a,1,2)),rewrite(916(4),202(5))]. 1112 (x * (i(x) * y)) \ i(x) = x \ (x / (x * y)). [para(317(a,1),967(a,1,2)),rewrite(277(4),203(3),594(3),266(6)),flip(a)]. 1117 (x \ i(y)) \ ((x * y) \ x) = ((y * x) * x) / (y * x). [para(967(a,1),493(a,1,2)),rewrite(202(2))]. 1120 (x * y) * ((y * x) \ y) = (x * y) / x. [para(967(a,1),854(a,1,2)),rewrite(5(7))]. 1124 x * (x * i(y)) = i(x) \ (x / y). [back_rewrite(948),rewrite(1106(4)),flip(a)]. 1131 (x \ (x / y)) * (y * x) = x. [para(1009(a,1),3(a,1,2))]. 1132 ((x * y) \ x) \ (x * y) = y * (x * y). [para(5(a,1),1009(a,1,1,2))]. 1133 (x * y) \ x = x \ (x / y). [para(1009(a,1),37(a,1,2)),rewrite(967(2))]. 1134 (x \ y) * y = (y \ x) \ y. [para(37(a,1),1009(a,1,1,2)),flip(a)]. 1137 (x * y) \ (y * (i(y) * x)) = i(y). [para(1009(a,1),212(a,1,1)),rewrite(300(4),203(3),984(4))]. 1140 (x \ (i(x) \ y)) \ x = i(y) * x. [para(305(a,1),1009(a,1,1,2))]. 1146 (x / y) * x = (y / x) \ x. [para(845(a,1),1009(a,1,1)),flip(a)]. 1147 x * ((x \ y) * (y / x)) = (x / y) \ (x / (x / y)). [para(925(a,1),1009(a,1,1,2)),rewrite(38(3),940(8)),flip(a)]. 1150 (x \ (x \ (x / y))) \ x = (y * x) * x. [para(967(a,1),1009(a,1,1,2)),rewrite(1133(2))]. 1151 (x \ (x / y)) \ (x * y) = y * (x * y). [back_rewrite(1132),rewrite(1133(2))]. 1153 (x * y) * (y \ (y / x)) = (x * y) / x. [back_rewrite(1120),rewrite(1133(3))]. 1155 (x \ i(y)) \ (x \ (x / y)) = ((y * x) * x) / (y * x). [back_rewrite(1117),rewrite(1133(4))]. 1160 (x \ (x / y)) * ((y * x) * z) = (y * x) * (((y * x) \ x) * z). [back_rewrite(1104),rewrite(1133(2))]. 1163 ((x * y) \ (y * x)) / (x * (z * ((x * y) \ (y * x)))) = ((x * y) \ (y * x)) \ (((x * y) \ (y * x)) / (x * z)). [back_rewrite(1099),rewrite(1133(18))]. 1167 (x \ (x / y)) \ (y \ (x * y)) = x * y. [back_rewrite(1086),rewrite(1133(2))]. 1169 (x * y) \ ((x * y) / x) = y \ (y / x). [back_rewrite(988),rewrite(1133(6))]. 1170 ((x * y) / x) / (y \ (y / x)) = x * y. [back_rewrite(987),rewrite(1133(4))]. 1171 x / (y * x) = x \ (x / y). [back_rewrite(967),rewrite(1133(4))]. 1172 i(x) \ (x \ y) = x \ (i(x) \ y). [back_rewrite(966),rewrite(1133(3),305(2)),flip(a)]. 1173 x \ ((x \ i(y)) \ x) = ((y * x) \ x) \ x. [back_rewrite(1070),rewrite(1134(3))]. 1174 ((x \ y) \ x) / (y \ x) = y \ (x * y). [back_rewrite(923),rewrite(1134(2))]. 1175 ((x * y) \ y) \ (y \ x) = (x \ y) \ x. [back_rewrite(917),rewrite(1134(6))]. 1176 (x \ y) / ((y \ x) \ y) = (y * x) \ x. [back_rewrite(910),rewrite(1134(3))]. 1179 (x \ (y \ x)) \ x = x \ ((y * x) * x). [back_rewrite(644),rewrite(1134(3))]. 1181 x * ((x \ y) * ((x \ y) * (x \ y))) = (((x / y) \ y) / x) * y. [back_rewrite(828),rewrite(1146(8))]. 1182 x \ ((y / x) \ x) = i(y) * x. [back_rewrite(558),rewrite(1146(2))]. 1188 (x \ (i(x) \ y)) \ (y / x) = i(x). [back_rewrite(1088),rewrite(1172(3))]. 1189 (x * (y * i(z))) * (y \ (i(y) \ z)) = (x * ((y * z) / y)) * (y * i(z)). [back_rewrite(986),rewrite(1172(6))]. 1191 x \ (i(x) \ (x / y)) = x * i(y). [back_rewrite(971),rewrite(1172(4))]. 1192 x \ (i(x) \ (y * x)) = i(y) \ x. [back_rewrite(928),rewrite(1172(4))]. 1194 ((x / y) * z) \ (x * (y \ (z * y))) = y. [para(50(a,1),4(a,1,2))]. 1195 (x * (y \ (z * y))) / y = (x / y) * z. [para(50(a,1),5(a,1,1))]. 1196 (x * (y \ (z * y))) * (y \ (u * y)) = (((x / y) * z) * u) * y. [para(50(a,1),8(a,1,1))]. 1218 (x \ (y * x)) \ i(z) = x \ (y \ (x * i(z))). [para(50(a,1),202(a,1,1)),rewrite(202(4),202(7),203(6))]. 1220 (x * ((x \ y) * z)) * x = y * (x \ ((x * z) * x)). [para(39(a,1),50(a,1,1))]. 1223 (x * (y * (x \ z))) * x = (x * y) * (x \ (z * x)). [para(40(a,1),50(a,1,1))]. 1240 (x * ((y \ x) \ x)) * x = y * (x * x). [para(817(a,1),50(a,2,2,2)),rewrite(39(3),1055(2),4(7))]. 1247 x * ((x \ (y \ x)) * y) = y \ (x * y). [para(4(a,1),1055(a,2,1)),rewrite(1133(2),963(4))]. 1254 (x \ (x / y)) \ (x / y) = y / (y / x). [para(38(a,1),1055(a,1,1)),rewrite(854(2)),flip(a)]. 1255 (x / (y \ z)) * ((z \ y) \ y) = (y \ z) * (((y \ z) \ x) * y). [para(1055(a,1),39(a,1,2))]. 1256 (x \ (i(x) \ y)) \ (x \ y) = (x * y) \ y. [para(212(a,1),1055(a,1,1)),rewrite(916(3),1172(5)),flip(a)]. 1258 (((x \ y) \ y) / (y \ x)) * z = (y \ x) * (y * ((y \ x) \ z)). [para(1055(a,1),40(a,1,1,1))]. 1260 (x \ (i(x) \ y)) \ (i(x) \ y) = y \ (x * y). [para(299(a,1),1055(a,1,1)),rewrite(916(4),892(3)),flip(a)]. 1265 (x \ y) * ((y / x) \ x) = ((y \ x) \ x) / (x \ y). [para(1055(a,1),319(a,2,1)),rewrite(300(3),664(4))]. 1268 x * (i(x) * y) = x \ (i(x) \ y). [para(412(a,1),1055(a,2,1)),rewrite(610(3),984(3),1133(6),305(5))]. 1270 (x / (x * y)) \ i(x) = (x / (x / y)) / x. [para(493(a,1),1055(a,1,1)),rewrite(40(4),692(4),494(6)),flip(a)]. 1271 (x / (x * y)) * (y / x) = ((x * y) / x) \ (y / x). [para(493(a,1),1055(a,2,1)),rewrite(494(3))]. 1274 (x * y) \ (y \ (i(y) \ x)) = i(y). [back_rewrite(1137),rewrite(1268(4))]. 1278 x \ (x / (x * y)) = i(y) * i(x). [back_rewrite(1112),rewrite(1268(3),212(5),300(3)),flip(a)]. 1282 (x * i(y)) * y = y \ (i(y) \ x). [back_rewrite(984),rewrite(1268(6))]. 1289 (x * y) * i(y) = y \ (i(y) \ x). [back_rewrite(964),rewrite(1268(6))]. 1291 ((x / y) \ y) * (y \ x) = x \ (i(x) \ y). [back_rewrite(703),rewrite(1268(7))]. 1313 x \ (x \ (i(x) \ y)) = i(x) * y. [back_rewrite(344),rewrite(1268(4),1172(3))]. 1314 i(x) * (x * y) = x \ (i(x) \ y). [back_rewrite(266),rewrite(1268(6))]. 1321 (x \ (x / y)) * (y * (x * y)) = x * y. [para(5(a,1),1131(a,1,1,2)),rewrite(1133(2))]. 1323 ((x \ (x / y)) * z) * (y * x) = x * ((y * x) \ (z * (y * x))). [para(1131(a,1),8(a,1,1)),flip(a)]. 1348 (x * y) / (x * (z * y)) = (y / x) \ ((y / z) / x). [para(1131(a,1),42(a,1,1,2)),rewrite(496(8))]. 1357 (x / (x \ (x / y))) \ (x \ (x / y)) = (x \ (x / y)) * (x \ i(y)). [para(1131(a,1),412(a,1,1,1)),rewrite(202(10))]. 1360 ((x / y) \ ((x / y) / y)) * (y / (y / x)) = x / y. [para(854(a,1),1131(a,1,2))]. 1366 ((x * (y * z)) / ((x * y) / x)) / ((z / x) \ ((z / y) / x)) = x * (y * z). [back_rewrite(954),rewrite(1348(9))]. 1370 (x * y) * (x \ (x / y)) = x. [para(1133(a,1),3(a,1,2))]. 1371 x \ (x / (x \ y)) = y \ x. [para(3(a,1),1133(a,1,1)),flip(a)]. 1372 (x / y) \ ((x / y) / y) = x \ (x / y). [para(6(a,1),1133(a,1,1)),flip(a)]. 1375 (x * (y * ((x * z) \ (z * x)))) \ (x * y) = (x * y) \ ((x * y) / ((x * z) \ (z * x))). [para(18(a,1),1133(a,1,1))]. 1377 (x * (x * ((y * z) \ (z * y)))) \ (x * x) = (x * x) \ ((x * x) / ((y * z) \ (z * y))). [para(22(a,1),1133(a,1,1))]. 1378 x / (x \ (x / y)) = x * y. [para(1133(a,1),37(a,1,2))]. 1382 (x \ (x / y)) \ (y \ i(x)) = i(x). [para(1133(a,1),212(a,1,1)),rewrite(202(4))]. 1390 x \ (x / (y / x)) = x / y. [para(854(a,1),1133(a,1,1)),rewrite(38(3)),flip(a)]. 1391 (x \ (x / y)) / x = i(y) * i(x). [para(1133(a,1),926(a,1,1)),rewrite(1278(6))]. 1393 (i(x) * i(y)) \ (y \ (y / x)) = y. [para(1133(a,1),962(a,1,2)),rewrite(1278(3))]. 1395 (x \ y) \ ((x \ y) / x) = y \ (y / x). [para(1055(a,1),1133(a,1,1)),rewrite(1094(4)),flip(a)]. 1397 (x \ (x / y)) * (y / (y / x)) = x / y. [back_rewrite(1360),rewrite(1372(4))]. 1399 (x \ (x / y)) * (x \ i(y)) = (x * y) \ (x \ (x / y)). [back_rewrite(1357),rewrite(1378(3)),flip(a)]. 1406 (x \ y) \ ((y \ x) \ y) = y. [para(1134(a,1),4(a,1,2))]. 1423 i(x) * (x \ y) = x \ (i(x) * y). [para(1134(a,1),202(a,1,1)),rewrite(300(3),300(5))]. 1425 (x \ (i(x) \ y)) * (x \ y) = i(y) \ (x \ y). [para(212(a,1),1134(a,2,1)),rewrite(1172(3))]. 1426 (x / y) * i(y) = (y / x) \ i(y). [para(274(a,1),1134(a,1,1)),rewrite(274(6))]. 1427 (x \ y) * (y * ((x \ y) \ z)) = (x \ (y * x)) * z. [para(1134(a,1),40(a,1,1,1)),rewrite(1174(4)),flip(a)]. 1434 (x \ (y * x)) \ x = x \ ((x \ y) \ x). [para(1134(a,1),196(a,2,2)),rewrite(916(3),1134(3))]. 1437 (x \ y) * (y \ (i(y) \ x)) = x \ (y * x). [para(1134(a,1),319(a,2,1)),rewrite(300(3),1268(4),1174(9))]. 1438 (x \ (y * x)) \ (x \ y) = i(x). [para(1134(a,1),412(a,1,1,1)),rewrite(1174(4),201(7))]. 1439 (x * i(y)) * x = (y * i(x)) \ x. [para(412(a,1),1134(a,1,1)),rewrite(610(6))]. 1442 x * (y * (x \ (y / x))) = (x / (x * y)) \ (y / x). [para(493(a,1),1134(a,1,1)),rewrite(40(4),494(7))]. 1444 (x / (x / y)) \ (x / y) = (y / x) \ i(y). [back_rewrite(665),rewrite(1426(7))]. 1445 (x * (y / z)) \ ((x * z) * (z \ y)) = z. [para(51(a,1),4(a,1,2))]. 1446 ((x * y) * (y \ z)) / y = x * (z / y). [para(51(a,1),5(a,1,1))]. 1466 (x \ i(y)) \ (x * y) = (y * x) * (x * y). [para(22(a,1),51(a,2)),rewrite(854(5),1146(7),1106(7),202(2),3(10))]. 1468 (x \ y) \ (x \ i(z)) = x \ ((y / x) \ i(z)). [para(51(a,1),202(a,1,1)),rewrite(202(4),202(3),202(7))]. 1490 (x * x) * (x \ y) = i(x) \ y. [para(854(a,1),51(a,1,1)),rewrite(1146(3),1106(3)),flip(a)]. 1495 ((x * y) * (y \ z)) \ (x * (z / y)) = (x * (z / y)) \ ((x * (z / y)) / y). [para(51(a,1),1133(a,1,1))]. 1499 x * ((y \ x) \ x) = i(y) \ x. [back_rewrite(693),rewrite(1490(3)),flip(a)]. 1500 (x \ i(y)) \ x = y * (x * x). [back_rewrite(1240),rewrite(1499(3),1134(3))]. 1501 ((x * y) \ y) \ y = y \ (x * (y * y)). [back_rewrite(1173),rewrite(1500(3)),flip(a)]. 1502 (x / y) \ ((y / x) \ x) = x. [para(1146(a,1),4(a,1,2))]. 1503 (x \ (x / y)) \ (y * x) = y * (y * x). [para(5(a,1),1146(a,1,1)),rewrite(1171(4)),flip(a)]. 1505 (x * y) * (i(z) * y) = (x * (y / z)) * y. [para(1146(a,1),8(a,1,2,2)),rewrite(1182(4))]. 1520 (x \ (x / y)) * (y \ x) = y \ (y \ x). [para(37(a,1),1146(a,2,1)),rewrite(926(2))]. 1521 i(x) * (y / x) = x \ (y * i(x)). [para(1146(a,1),202(a,1,1)),rewrite(300(3),203(5))]. 1523 (x / (x * y)) \ (x * y) = x * (y * y). [para(1146(a,1),39(a,1)),rewrite(4(6))]. 1525 (((x / y) \ y) / (y / x)) * z = (y / x) * (y * ((y / x) \ z)). [para(1146(a,1),40(a,1,1,1))]. 1527 (i(x) \ y) * x = (y \ i(x)) \ x. [para(277(a,1),1146(a,2,1)),rewrite(305(2))]. 1528 ((x / y) \ y) * (y \ (x * i(y))) = 1. [para(1146(a,1),211(a,1,1)),rewrite(203(4))]. 1536 (x / y) * ((x * y) / x) = ((y / x) \ x) / (x / y). [para(1146(a,1),319(a,2,1)),rewrite(203(3),319(4))]. 1541 ((x / y) \ y) * x = y * (x \ (y * x)). [para(1146(a,1),50(a,1,1))]. 1542 ((x / y) \ y) \ (y / x) = (y / x) \ ((y / x) / y). [para(1146(a,1),1133(a,1,1))]. 1548 x \ (i(x) \ (x * y)) = i(x) \ y. [para(210(a,1),1171(a,1,2)),rewrite(305(2),426(5)),flip(a)]. 1549 (x / y) \ ((y * i(x)) \ x) = y \ (i(y) \ x). [para(304(a,1),1171(a,1,2)),rewrite(305(3),203(2),1133(3),305(2),305(7),203(6)),flip(a)]. 1550 (x * i(y)) \ ((y / x) \ i(y)) = (y / x) \ ((y / x) / y). [para(319(a,1),1171(a,1,2)),rewrite(364(5),203(4),202(3),630(4),364(9)),flip(a)]. 1554 x / ((y * x) * (x \ z)) = x \ (x / (y * (z / x))). [para(51(a,1),1171(a,1,2))]. 1556 ((x * y) * y) * (x \ (x / y)) = x * y. [para(5(a,1),1370(a,1,2,2)),rewrite(1133(4))]. 1582 (x * i(y)) * (x \ (i(x) \ y)) = x. [para(305(a,1),1370(a,1,2,2))]. 1587 (x * y) / ((x * y) / (x \ (x / y))) = (x / y) / x. [para(1370(a,1),317(a,1,1)),rewrite(202(2),630(3)),flip(a)]. 1588 (x * y) * (x \ (i(x) \ y)) = x * (y * y). [para(1370(a,1),412(a,1,1,1)),rewrite(1523(4),300(6),203(5),1282(6)),flip(a)]. 1595 ((x \ y) \ y) * (x \ (x / y)) = y \ x. [para(1055(a,1),1370(a,1,1)),rewrite(1395(6))]. 1599 ((x / y) \ y) * ((y / x) \ ((y / x) / y)) = y / x. [para(1146(a,1),1370(a,1,1))]. 1602 x * (y \ x) = x / (x \ y). [para(1371(a,1),3(a,1,2))]. 1603 (x / (x \ y)) / (y \ x) = x. [para(1371(a,1),37(a,1,2))]. 1605 (x \ y) * i(x) = (y \ x) \ i(x). [para(1371(a,1),212(a,1,1)),rewrite(203(6)),flip(a)]. 1609 (x / (x \ y)) \ ((x / (x \ y)) / x) = (y \ x) / (x / (x \ y)). [para(1371(a,1),926(a,1,1)),flip(a)]. 1610 (x \ (x / y)) \ (i(y) * i(x)) = (y \ x) \ (x \ (x / y)). [para(962(a,1),1371(a,1,2,2)),rewrite(1391(5))]. 1611 (x \ y) / ((x \ y) / x) = (y \ x) \ (x / (x \ y)). [para(1371(a,1),1055(a,2,1)),rewrite(38(3),854(4))]. 1665 (x * (y \ (z * y))) * (y \ ((y \ z) \ y)) = (x * (i(z) * y)) * (y \ (z * y)). [para(28(a,1),53(a,1,2,2,1)),rewrite(1(7),1434(6))]. 1727 (x * y) / (x \ (x / y)) = (x * y) * y. [para(5(a,1),1378(a,1,2,2)),rewrite(1133(3))]. 1729 (x * y) * (((x * y) \ y) * z) = (y * x) * ((y \ (y / x)) * z). [para(1378(a,1),39(a,1,1)),rewrite(1009(10),1160(10)),flip(a)]. 1732 x * (x / y) = x / (y / x). [para(845(a,1),1378(a,1,2)),flip(a)]. 1733 (x / (x / y)) \ (i(x) \ y) = x. [para(1378(a,1),925(a,1,1,2)),rewrite(1391(5),427(6),203(3),317(3),305(4))]. 1734 (x / (x / y)) * (y / x) = (x / (x / y)) / (x / y). [para(925(a,1),1378(a,1,2,2)),rewrite(38(5)),flip(a)]. 1736 (i(x) * i(y)) \ y = (y * x) * y. [para(1378(a,1),1146(a,1,1)),rewrite(1391(5)),flip(a)]. 1737 (i(x) * i(y)) * (y \ (y / x)) = (y * x) \ (y \ (y / x)). [para(1378(a,1),1146(a,2,1)),rewrite(1391(3))]. 1739 (x * y) / ((x * y) * y) = (x / y) / x. [back_rewrite(1587),rewrite(1727(5))]. 1744 (x * (x * y)) / x = x / ((x / y) / x). [back_rewrite(646),rewrite(1732(3)),flip(a)]. 1747 (x / (y / x)) / (x / y) = x. [para(1390(a,1),37(a,1,2))]. 1748 x / (y * (x * x)) = x \ i(y). [para(1390(a,1),305(a,2)),rewrite(305(3),277(4),300(3),300(5),202(4),188(3),1134(3),1500(3),277(5))]. 1753 (x / y) \ (x / (y / x)) = (y * x) / y. [para(1390(a,1),1055(a,2,1)),rewrite(38(3),854(4),570(4)),flip(a)]. 1760 (x * i(y)) \ ((y * i(x)) \ x) = x. [para(412(a,1),1406(a,1,1)),rewrite(610(5))]. 1764 ((x \ y) \ x) \ (y \ (x * y)) = x \ y. [para(1406(a,1),926(a,1,1)),rewrite(37(3),1174(7)),flip(a)]. 1773 (x \ (x / y)) \ (y \ (y \ x)) = y \ x. [para(37(a,1),1502(a,1,2,1)),rewrite(926(2))]. 1775 (i(x) \ y) \ ((y \ i(x)) \ x) = x. [para(277(a,1),1502(a,1,2,1)),rewrite(305(2))]. 1784 x * ((y * x) \ (x * y)) = y \ (x * y). [para(54(a,1),4(a,1,2)),flip(a)]. 1846 (x \ (y * x)) \ (i(x) * y) = y \ (y / x). [para(54(a,1),1171(a,1,2)),rewrite(1784(4),926(4),5(3),1133(2),1784(6),1784(8),523(7)),flip(a)]. 1935 (x / y) * (y / (y \ z)) = y * ((y \ x) * (z \ y)). [para(1602(a,1),39(a,1,2))]. 1936 x \ (x \ (x / y)) = i(x) * i(y). [para(212(a,1),1602(a,1,2)),rewrite(1172(7),277(8),300(7),300(6),1282(7),274(6)),flip(a)]. 1944 (x \ y) \ (y / (y \ x)) = y \ ((x * y) * (x \ y)). [para(1602(a,1),196(a,2,2)),rewrite(300(2),196(3),714(4)),flip(a)]. 1945 (x / (x \ y)) / x = x * i(y). [para(1602(a,1),319(a,2,1)),rewrite(201(3)),flip(a)]. 1946 x * (y * (x \ (y * i(x)))) = ((x / y) / x) \ (y / x). [para(412(a,1),1602(a,2,2)),rewrite(610(5),40(5),427(10),203(8),202(7),630(8))]. 1948 (x \ y) * ((x \ (x \ y)) \ x) = (x * y) * (y \ x). [para(1602(a,1),47(a,1,1)),rewrite(1255(5),1134(4))]. 1949 (x / y) * ((y * x) / y) = (x / y) / (y / (y * x)). [para(493(a,1),1602(a,1,2)),rewrite(494(8))]. 1950 i(x) \ (i(y) \ x) = x * (y * x). [para(1009(a,1),1602(a,1,2)),rewrite(1936(5),427(6),305(5)),flip(a)]. 1953 (x \ y) / (y / (y \ x)) = (x \ y) \ (y \ (y / x)). [para(1602(a,1),1171(a,1,2)),rewrite(926(7))]. 1955 (x / (y / x)) * (x / y) = (x / (y / x)) / (y / x). [para(1390(a,1),1602(a,1,2)),rewrite(38(9))]. 1965 (i(x) * i(y)) \ x = (y * x) * x. [back_rewrite(1150),rewrite(1936(3))]. 1967 (x \ y) / ((x \ y) / x) = x \ ((y * x) * (y \ x)). [back_rewrite(1611),rewrite(1944(8))]. 1970 (x / (x \ y)) \ (x * i(y)) = (y \ x) \ (x \ (x / y)). [back_rewrite(1609),rewrite(1945(5),1953(9))]. 1976 (x \ (y * i(x))) / (y / x) = i(x). [para(274(a,1),1603(a,1,1,2)),rewrite(277(3),203(2),274(6))]. 1995 (x * y) / (y \ (y / x)) = (x * y) * x. [para(5(a,1),1732(a,1,2)),rewrite(1171(5)),flip(a)]. 2000 (x \ y) * (y \ (y / x)) = (x \ y) / x. [para(37(a,1),1732(a,2,2)),rewrite(926(3))]. 2002 ((x / (y / x)) / x) * z = x * ((x / y) * (x \ z)). [para(1732(a,1),40(a,1,1,1))]. 2004 x * (i(x) \ y) = i(x) \ (x * y). [para(277(a,1),1732(a,2,2)),rewrite(305(2),426(6))]. 2005 x \ (i(x) * i(y)) = (x * x) \ i(y). [para(1732(a,1),300(a,2)),rewrite(277(2),1500(3),202(3),305(6),277(7),300(6)),flip(a)]. 2006 (x / (y / x)) * ((x / y) \ i(x)) = 1. [para(1732(a,1),211(a,1,1))]. 2011 ((x * x) \ i(y)) * x = x \ (x \ (y \ x)). [para(1732(a,1),196(a,1,1)),rewrite(305(3),277(4),300(3),2005(4),277(6),1055(7),847(7))]. 2013 (x / (y / x)) / x = x / ((x * y) / x). [para(1732(a,1),319(a,2,1)),rewrite(594(3),1732(3)),flip(a)]. 2014 (x / (x / y)) / (y \ (y / x)) = i(x) \ y. [para(925(a,1),1732(a,1,2)),rewrite(1146(3),1106(3),1095(8)),flip(a)]. 2016 ((x / y) \ ((x / y) / x)) * (x / (y / x)) = x / y. [para(1732(a,1),1131(a,1,2))]. 2017 (x / (y / x)) * y = (x * y) * (y \ x). [para(1732(a,1),51(a,1,1))]. 2018 (x / y) / (x / (y / x)) = (x / y) \ ((x / y) / x). [para(1732(a,1),1171(a,1,2))]. 2019 i(x) \ (i(x) \ y) = x * (x * y). [para(1378(a,1),1732(a,1,2)),rewrite(1391(5),427(6),305(5)),flip(a)]. 2026 (x / ((x * y) / x)) * z = x * ((x / y) * (x \ z)). [back_rewrite(2002),rewrite(2013(3))]. 2028 ((x \ y) / x) / (y \ (y / x)) = x \ y. [para(37(a,1),1747(a,1,1,2)),rewrite(926(4))]. 2031 (x * (y * y)) \ (x * y) = i(y). [para(277(a,1),1747(a,1,1)),rewrite(305(2),300(3),2005(4),277(5),426(6),300(4),188(2))]. 2038 (i(x) \ y) / x = x / (x / y). [para(925(a,1),1747(a,1,2)),rewrite(1095(6),2014(5))]. 2039 ((x * y) / x) / (y / (x / y)) = x / y. [para(1747(a,1),926(a,2,2)),rewrite(1753(4),38(8))]. 2060 i(x) * ((i(x) \ y) * (i(z) \ ((z * x) \ x))) = y * (i(z) \ ((z * x) \ x)). [para(201(a,1),60(a,1,2,2,1)),rewrite(916(7),201(12),916(13))]. 2062 (x / y) * (z \ (y * z)) = x * ((z * y) \ (y * z)). [para(60(a,1),39(a,2)),rewrite(1784(5))]. 2101 (x * y) * (((x * y) \ z) * ((y \ (x * y)) \ x)) = z * ((y \ (x * y)) \ x). [para(1370(a,1),60(a,1,2,2,2)),rewrite(963(7),1247(7),963(12),1247(12),1370(14))]. 2120 (x \ (x \ y)) \ (x \ y) = y \ (x * y). [para(3(a,1),495(a,1,2)),rewrite(300(2),196(3)),flip(a)]. 2122 ((x \ y) \ y) / (x * y) = i(y). [para(495(a,1),5(a,1,1))]. 2123 ((x / y) \ y) \ y = i(y) * x. [para(6(a,1),495(a,1,2)),flip(a)]. 2141 (x * y) \ (((y * x) * ((y \ i(x)) * (y * x))) * ((y * x) \ (x * y))) = (y \ i(x)) * (y * x). [para(495(a,1),22(a,2)),rewrite(300(4),202(2),300(8),202(6),22(13),471(12),2(6),300(8),202(6),890(16)),flip(a)]. 2147 i(x) * (y * (z * (y \ x))) = (((y * z) / y) \ x) \ x. [para(40(a,1),495(a,1,2))]. 2152 (x \ (y * i(x))) \ (y * i(x)) = ((y / x) \ x) / (x / y). [para(319(a,1),495(a,1,2)),rewrite(202(3),274(3),1536(4)),flip(a)]. 2154 (x * i(y)) * (x \ (y * i(x))) = ((x * y) / x) \ (y / x). [para(493(a,1),495(a,2,1)),rewrite(203(2),1521(5))]. 2155 (x * (y * y)) \ y = y \ ((x * y) \ y). [para(495(a,1),494(a,2,2)),rewrite(305(3),202(2),1500(3),188(4),277(7),300(6),916(6))]. 2160 i(x) * (y * (x \ (z * x))) = (((y / x) * z) \ x) \ x. [para(50(a,1),495(a,1,2))]. 2162 (x * (x * y)) \ (x * y) = y \ (x \ y). [para(1131(a,1),495(a,1,2)),rewrite(202(2),1055(3),847(3),1503(6)),flip(a)]. 2163 i(x) * ((y * x) * (x \ z)) = ((y * (z / x)) \ x) \ x. [para(51(a,1),495(a,1,2))]. 2164 (x * y) / ((x \ y) \ y) = (x * y) \ (x * (y * y)). [para(495(a,1),1171(a,1,2)),rewrite(305(8),202(7),1500(8))]. 2180 (x / (x \ y)) \ (x / y) = i(x). [para(201(a,1),522(a,1,2,2)),rewrite(188(2),1602(2),274(5))]. 2190 ((x \ y) \ y) \ (y \ ((x * y) * y)) = y. [para(319(a,1),522(a,1,1)),rewrite(305(4),202(3),188(2),188(4))]. 2198 (x \ (x / y)) * (y \ (x * y)) = y \ (y \ (x * y)). [para(522(a,1),1055(a,2,1)),rewrite(1846(5))]. 2199 (x \ (i(x) * y)) \ (x \ ((y \ x) \ x)) = x. [para(1055(a,1),522(a,1,2,2)),rewrite(1423(3))]. 2202 ((x * y) \ y) \ (y \ ((y \ x) \ y)) = y. [para(1134(a,1),522(a,1,2,2)),rewrite(916(3))]. 2217 ((x \ y) \ y) / (x \ y) = (i(y) * x) * x. [para(3(a,1),523(a,1,1,2)),rewrite(300(6))]. 2218 x \ (y * i(x)) = (x \ y) / x. [para(6(a,1),523(a,1,1,2)),rewrite(1521(5)),flip(a)]. 2224 (x * i(y)) \ y = y / (y \ x). [para(201(a,1),523(a,1,1,2)),rewrite(274(3),305(3),203(2),188(5),1602(5))]. 2229 (x / (x * y)) / (y / x) = (x * i(y)) * i(y). [para(304(a,1),523(a,1,1,2)),rewrite(494(3),203(6))]. 2230 (x \ y) \ (i(y) * x) = ((y \ x) / y) * x. [para(370(a,1),523(a,1,1,2)),rewrite(24(3),300(2),376(4),300(3),300(6),1505(9),1521(7),2218(7))]. 2231 (x \ (x \ (y * x))) / x = i(x) * (i(x) * y). [para(196(a,1),523(a,1,1,2))]. 2235 (x \ (y * x)) * (i(y) * x) = (x \ (y \ x)) \ (y \ x). [para(523(a,1),854(a,2,2)),rewrite(1008(5),429(10),300(8),202(7),1055(8),847(8))]. 2245 (i(x) * y) * (x \ (y * x)) = (i(y) * x) \ (x \ (y * x)). [para(523(a,1),1146(a,1,1)),rewrite(1008(8))]. 2246 (i(x) * y) * y = (i(y) * x) \ y. [para(523(a,1),1146(a,2,1)),rewrite(1008(3))]. 2248 (x \ (i(x) \ y)) * (x * y) = (y * x) * y. [para(1370(a,1),523(a,1,1,2)),rewrite(1009(3),1995(4),300(5),203(4),1282(5)),flip(a)]. 2253 i(x) \ (y \ x) = (y / x) \ x. [para(523(a,1),1732(a,2,2)),rewrite(1008(3),664(3),429(5)),flip(a)]. 2259 (x * i(y)) * ((x \ y) / x) = ((x * y) / x) \ (y / x). [back_rewrite(2154),rewrite(2218(5))]. 2260 ((x \ y) / x) \ (y * i(x)) = ((y / x) \ x) / (x / y). [back_rewrite(2152),rewrite(2218(3))]. 2262 ((x \ y) / x) / (y / x) = i(x). [back_rewrite(1976),rewrite(2218(3))]. 2263 x * (y * ((x \ y) / x)) = ((x / y) / x) \ (y / x). [back_rewrite(1946),rewrite(2218(3))]. 2265 ((x / y) \ y) * ((y \ x) / y) = 1. [back_rewrite(1528),rewrite(2218(5))]. 2266 i(x) * (y / x) = (x \ y) / x. [back_rewrite(1521),rewrite(2218(6))]. 2269 (x * i(y)) \ (x / (x \ y)) = x. [back_rewrite(1760),rewrite(2224(5))]. 2270 i(x) \ (y * x) = (x * y) * x. [back_rewrite(1736),rewrite(2224(4),426(3))]. 2271 (x / y) \ (x / (x \ y)) = y \ (i(y) \ x). [back_rewrite(1549),rewrite(2224(4))]. 2272 (x * i(y)) * x = x / (x \ y). [back_rewrite(1439),rewrite(2224(6))]. 2274 ((x \ y) \ y) / (x \ y) = (i(x) * y) \ x. [back_rewrite(2217),rewrite(2246(7))]. 2278 (x \ i(y)) \ y = y * (x * y). [back_rewrite(1950),rewrite(2253(4),277(2))]. 2280 (x \ (i(x) \ y)) * (x \ y) = (x / y) \ y. [back_rewrite(1425),rewrite(2253(8))]. 2284 x \ ((x * y) * x) = i(y) \ x. [back_rewrite(1192),rewrite(2270(3))]. 2285 (i(x) \ y) \ (x * (y * x)) = x. [back_rewrite(1775),rewrite(2278(5))]. 2286 (i(x) \ y) * x = x * (y * x). [back_rewrite(1527),rewrite(2278(6))]. 2289 (x * ((x \ y) * z)) * x = y * (i(z) \ x). [back_rewrite(1220),rewrite(2284(7))]. 2291 (x * i(y)) * (y / (y \ x)) = y. [para(566(a,1),6(a,1,1))]. 2296 (x / (x \ y)) / (((x \ y) / x) \ x) = (y * i(x)) \ ((y \ x) \ i(x)). [para(566(a,1),494(a,1,1)),rewrite(203(5),1605(5),1146(11)),flip(a)]. 2297 (x / y) / ((x / y) / (y / (y * x))) = y \ (y / x). [para(494(a,1),566(a,1,2,2)),rewrite(203(9),1314(10),274(9))]. 2299 (x / (x \ y)) * (y * i(x)) = ((y \ x) \ i(x)) \ (y / x). [para(566(a,1),854(a,1,2)),rewrite(1945(10),427(10),203(8),1605(8))]. 2456 (x * (y * x)) \ (x * y) = i(x). [para(1171(a,1),567(a,1,2,2)),rewrite(1378(5))]. 2484 (x * x) * ((y / (y * z)) \ i(z)) = x * (x * ((y / (y * z)) \ i(z))). [para(594(a,1),22(a,1,2,1)),rewrite(304(6),594(9),304(11))]. 2491 (x / y) * (i(x) * ((x / y) \ z)) = ((x / (x * y)) / (x / y)) * z. [para(594(a,1),40(a,1,1,1)),flip(a)]. 2500 ((x / y) \ y) \ (x \ y) = (x \ y) \ (y \ (x \ y)). [para(196(a,1),594(a,2,2)),rewrite(376(3),202(6),188(5),1055(5),2253(3),376(9),300(8),202(7),1055(8),847(8))]. 2502 (x * (y * x)) * (y \ i(x)) = (x * y) / (x / (x / y)). [para(317(a,1),594(a,2,2)),rewrite(305(3),202(2),2278(3),202(4))]. 2503 (x / y) * ((y \ x) \ i(x)) = (x / (x * y)) / (x / y). [para(594(a,1),319(a,2,1)),rewrite(203(4),684(5))]. 2507 ((x / y) \ y) / (y / x) = (y / x) / (y / (y * x)). [para(594(a,1),494(a,2,2)),rewrite(277(3),203(2),2218(3),203(4),2260(5))]. 2513 (x / y) / (y \ (i(y) \ x)) = x / (x * y). [para(594(a,1),1378(a,2)),rewrite(305(5),203(4),2224(5),2271(5))]. 2521 ((x \ y) \ i(y)) \ (x / y) = (y / x) / (y / (y * x)). [para(594(a,1),594(a,2,2)),rewrite(305(3),203(2),2224(3),203(4),2299(5))]. 2527 ((x / y) / (x / (x * y))) * z = (x / y) * (x * ((x / y) \ z)). [back_rewrite(1525),rewrite(2507(4))]. 2530 (x \ y) \ i(y) = y \ (x / y). [para(3(a,1),610(a,1,2,1)),rewrite(1605(5)),flip(a)]. 2531 (x / y) \ (x / (x / y)) = i(y) \ (y / x). [para(6(a,1),610(a,1,2,1)),rewrite(203(6),1124(7))]. 2537 (x \ y) \ ((y * x) \ x) = i(y) * (i(y) * x). [para(201(a,1),610(a,1,2,1)),rewrite(277(4),300(3),891(4),300(7))]. 2545 (x * i(y)) * i(y) = (x / y) / y. [para(319(a,1),610(a,1,2,1)),rewrite(950(3),845(4)),flip(a)]. 2550 (x \ y) \ (x \ (y * x)) = y \ (i(y) \ x). [para(1134(a,1),610(a,1,2,1)),rewrite(1174(5),300(6),1268(7))]. 2561 (x / y) / (x / (x * y)) = (x \ (y / x)) \ (y / x). [back_rewrite(2521),rewrite(2530(3)),flip(a)]. 2562 (x / y) * (x \ (y / x)) = (x / (x * y)) / (x / y). [back_rewrite(2503),rewrite(2530(4))]. 2569 (x / (x \ y)) / (((x \ y) / x) \ x) = (y * i(x)) \ (x \ (y / x)). [back_rewrite(2296),rewrite(2530(11))]. 2576 (x \ y) * i(x) = x \ (y / x). [back_rewrite(1605),rewrite(2530(6))]. 2577 i(x) * (y * i(x)) = x \ (y / x). [back_rewrite(684),rewrite(2530(7))]. 2578 x * ((x \ y) * (y / x)) = i(y) \ (y / x). [back_rewrite(1147),rewrite(2531(8))]. 2580 (x / (x * y)) / (y / x) = (x / y) / y. [back_rewrite(2229),rewrite(2545(8))]. 2586 ((x \ (y / x)) \ (y / x)) * z = (x / y) * (x * ((x / y) \ z)). [back_rewrite(2527),rewrite(2561(4))]. 2602 (x * y) * (z \ (y \ i(x))) = ((x * y) / z) / (x * y). [para(202(a,1),630(a,1,2,2))]. 2605 (x / y) * (z \ (y * i(x))) = ((x / y) / z) / (x / y). [para(203(a,1),630(a,1,2,2))]. 2611 (x \ i(y)) \ ((y / x) / y) = (y * x) / ((y * x) / y). [para(630(a,1),196(a,2,2)),rewrite(300(3),188(2),595(5)),flip(a)]. 2612 (x / (x / y)) \ i(x) = (x / (x * y)) / x. [para(630(a,1),317(a,1,1)),rewrite(1426(4),426(7),674(8))]. 2621 ((x / y) / x) * (i(x) \ y) = x. [para(630(a,1),1370(a,1,1)),rewrite(426(5),1548(6))]. 2625 (x \ (y * x)) * (x \ (x \ (y \ x))) = (y \ x) \ (x \ (y \ x)). [para(523(a,1),630(a,2,1)),rewrite(300(5),202(4),1055(5),847(5),376(11),300(10),202(9),1055(10),847(10))]. 2782 (x \ y) * ((x * y) \ y) = x \ (x \ y). [para(37(a,1),664(a,2,1)),rewrite(916(4))]. 2783 x * ((y \ i(z)) * x) = ((z * y) / x) \ x. [para(202(a,1),664(a,1,2,1))]. 2786 x * ((y * i(z)) * x) = ((z / y) / x) \ x. [para(203(a,1),664(a,1,2,1))]. 2795 (x * y) * ((x \ y) \ y) = x * (x * y). [para(319(a,1),664(a,1,2)),rewrite(188(2),305(5),202(4),188(3),188(6),1171(6),188(8),1503(8))]. 2796 (i(x) \ y) * (y \ (x * y)) = x * (x * y). [para(854(a,1),664(a,1,2)),rewrite(305(2),277(5),426(6),188(4),305(7),37(8),305(8),2019(9))]. 2798 (x \ (x / y)) \ (i(x) * y) = (x / y) \ y. [para(664(a,1),1009(a,2)),rewrite(5(5),1133(4),277(3),1172(4),274(3))]. 2808 ((x * y) \ y) \ (i(x) * y) = ((x \ y) \ y) / (y \ x). [para(664(a,1),495(a,1,2)),rewrite(202(3),188(2),1265(4),891(7)),flip(a)]. 2811 (x / (x \ y)) * (i(y) * x) = (y * i(x)) \ (x / (x \ y)). [para(566(a,1),664(a,2,1)),rewrite(304(6),300(4))]. 2821 (x \ i(y)) * (x * y) = (y * x) \ (x * y). [back_rewrite(2141),rewrite(2783(7),1291(10),202(4),1466(6),4(6)),flip(a)]. 2849 (i(x) \ y) * ((x / y) / x) = (i(x) \ y) / (x / (x / y)). [para(674(a,1),854(a,1,2)),rewrite(2038(10))]. 2852 (x \ (x / y)) / (y \ x) = y \ (x \ y). [para(926(a,1),674(a,2,1)),rewrite(300(3),862(5)),flip(a)]. 2861 (x \ (y * x)) / (x \ ((y * x) * x)) = (y \ x) \ (x \ (y \ x)). [para(523(a,1),674(a,2,1)),rewrite(300(5),202(4),1055(5),847(5),1179(5),376(11),300(10),202(9),1055(10),847(10))]. 2868 (i(x) \ y) * (x * z) = x * ((y * x) * z). [para(786(a,1),39(a,1,1)),rewrite(4(7))]. 2869 x * ((y * x) * (x \ z)) = (i(x) \ y) * z. [para(786(a,1),40(a,1,1)),flip(a)]. 2876 (x * (y * y)) / y = i(x) \ y. [para(845(a,1),786(a,2)),rewrite(277(3),426(4),188(2),1055(3),1501(3),3(4),305(5))]. 2877 (x * (y * x)) / (i(x) \ y) = (x * y) / (x / (x / y)). [para(786(a,1),854(a,2,2)),rewrite(837(5),2502(5)),flip(a)]. 2880 (x * (y * (x \ (z * x)))) / x = i(x) \ ((y / x) * z). [para(50(a,1),786(a,1,1,2))]. 2888 (x \ (y \ x)) / x = x \ i(y). [para(1390(a,1),786(a,2)),rewrite(305(3),277(4),300(3),2005(4),2011(4),3(4),277(5))]. 2909 (i(x) \ y) / ((x \ y) \ y) = y. [para(188(a,1),794(a,2)),rewrite(305(2),305(6),202(5),188(4))]. 2911 x * (y * (x \ ((((x * y) / x) \ (y / x)) * z))) = x \ (i(x) \ (y * (x \ z))). [para(794(a,1),39(a,1,1)),rewrite(40(4),1314(5),40(13)),flip(a)]. 2935 (x * y) \ (x * (y * y)) = x \ (i(x) \ y). [para(1378(a,1),794(a,1,1)),rewrite(1055(4),38(3),1071(5),2164(4),300(7),203(6),1282(7))]. 2945 ((x / y) / (y / (y * x))) \ (y \ (i(y) \ x)) = y * i(x). [para(794(a,1),567(a,1,2,2)),rewrite(1949(4),305(7),203(6),1133(7),305(6),203(10))]. 3000 x \ ((y \ i(z)) \ x) = ((z * y) \ x) \ x. [para(202(a,1),796(a,1,2,1))]. 3001 (x \ (i(x) \ y)) * (x * z) = x * (((y \ x) \ x) * z). [para(796(a,1),39(a,2,2,1)),rewrite(926(3),305(2))]. 3003 x \ ((i(y) * z) \ x) = ((z \ y) \ x) \ x. [para(300(a,1),796(a,1,2,1))]. 3005 (x \ (y / x)) \ (y / x) = (y / x) \ ((x * y) / x). [para(493(a,1),796(a,1,2)),flip(a)]. 3006 ((x * y) / x) \ (y / x) = (y / x) \ (x \ (y / x)). [para(493(a,1),796(a,2,1)),rewrite(188(3)),flip(a)]. 3007 (x \ (y * x)) \ (i(y) \ x) = (y * x) \ (x * (y * x)). [para(845(a,1),796(a,1,2)),rewrite(277(3),426(4),188(2),305(4),277(8),426(9),188(7),277(11),426(12),188(10),2120(11))]. 3022 (((x \ y) \ y) \ x) * y = ((x \ y) \ y) \ (x * y). [para(610(a,1),796(a,1,2)),rewrite(305(4),202(3),188(2),188(4),305(8),202(7),188(6),305(11),202(10),188(9),1010(10)),flip(a)]. 3025 x * (((y \ x) \ x) * y) = (y * x) * y. [back_rewrite(2248),rewrite(3001(5))]. 3030 ((x / y) \ ((y * x) / y)) * z = (y / x) * (y * ((y / x) \ z)). [back_rewrite(2586),rewrite(3005(4))]. 3034 (x / y) / (x / (x * y)) = (y / x) \ ((x * y) / x). [back_rewrite(2561),rewrite(3005(8))]. 3037 x * (y * (x \ (((y / x) \ (x \ (y / x))) * z))) = x \ (i(x) \ (y * (x \ z))). [back_rewrite(2911),rewrite(3006(4))]. 3038 (x * i(y)) * ((x \ y) / x) = (y / x) \ (x \ (y / x)). [back_rewrite(2259),rewrite(3006(9))]. 3040 (x / (x * y)) * (y / x) = (y / x) \ (x \ (y / x)). [back_rewrite(1271),rewrite(3006(8))]. 3045 ((x \ y) / x) * (x / y) = i(x). [para(3(a,1),836(a,1,2,2))]. 3061 (i(x) \ y) * (y \ (x \ y)) = y. [para(188(a,1),836(a,2)),rewrite(305(2),429(6),188(4))]. 3085 (x / (x * y)) \ ((x / y) / y) = x / y. [para(836(a,1),1171(a,1,2)),rewrite(305(4),203(3),317(3),38(3),2580(7)),flip(a)]. 3087 (x * y) * (y \ (x \ y)) = x \ (i(x) \ y). [para(1378(a,1),836(a,1,1)),rewrite(1055(6),38(5),2852(5),300(7),203(6),1282(7))]. 3091 ((x / (x / y)) / x) / (x / (x * y)) = (x / (x / y)) / (x / y). [para(836(a,1),523(a,1,1,2)),rewrite(1270(4),203(9),317(9),1734(10))]. 3111 (x * (y * x)) * ((i(x) * i(y)) * z) = (y \ i(x)) * ((x * (y * x)) * z). [para(837(a,1),39(a,1,1)),rewrite(1133(11),1171(10),1936(11)),flip(a)]. 3117 (x \ (y \ i(x))) \ x = (x * (y * x)) * x. [para(837(a,1),1009(a,1,1,2))]. 3122 x / ((i(x) \ y) * z) = (y * (z / x)) \ i(x). [para(51(a,1),837(a,1,2,2)),rewrite(2869(4))]. 3124 x / (x \ (y \ i(x))) = x * (x * (y * x)). [para(837(a,1),1378(a,1,2,2))]. 3133 (i(x) \ y) * ((y \ (x \ y)) * z) = i(x) * ((i(x) \ y) * z). [para(847(a,1),39(a,2,2,1)),rewrite(37(3)),flip(a)]. 3136 ((i(x) * y) \ z) \ z = z \ ((y \ x) \ z). [para(300(a,1),847(a,1,1,1))]. 3137 (x * (y \ (z \ y))) * (y \ ((z * y) * y)) = (x * (i(z) \ y)) * (y \ (z \ y)). [para(847(a,1),47(a,1,1,2)),rewrite(847(6),1179(6),847(13))]. 3138 (x * (i(y) \ z)) * (z \ (y \ z)) = (x * i(y)) * (i(y) \ z). [para(847(a,1),47(a,1,2))]. 3141 (x \ i(y)) \ (x \ (y \ x)) = x. [para(847(a,1),962(a,1,2)),rewrite(37(3))]. 3150 ((x * y) * y) \ y = y \ (y \ (x \ y)). [para(847(a,1),847(a,2,2)),rewrite(300(3),1965(4))]. 3151 (x * (y \ (z \ y))) * (y \ ((z * y) * y)) = (x * i(z)) * (i(z) \ y). [back_rewrite(3137),rewrite(3138(13))]. 3241 (x * y) * ((z * y) \ y) = (x * i(z)) * y. [para(891(a,1),8(a,1,2))]. 3242 ((x * y) \ y) * (y \ x) = i(y). [para(891(a,1),201(a,1,1)),rewrite(202(5),188(4))]. 3246 (x * (y * (x \ z))) \ z = z \ (((x / y) / x) * z). [para(40(a,1),891(a,2,1)),rewrite(203(3),202(2),630(3)),flip(a)]. 3248 (x / (y / x)) \ (x / y) = y / (y * x). [para(304(a,1),891(a,1,2)),rewrite(494(3),1732(4)),flip(a)]. 3251 ((x * y) / x) \ (y * i(x)) = (y * i(x)) \ (x \ (y / x)). [para(319(a,1),891(a,2,1)),rewrite(2577(6)),flip(a)]. 3254 (x / (x / y)) \ (y / x) = (y / x) \ ((x \ y) / x). [para(854(a,1),891(a,2,1)),rewrite(2266(4)),flip(a)]. 3257 ((x \ y) \ y) / (y \ x) = (y \ (x \ y)) \ (x \ y). [para(891(a,1),1055(a,2,1)),rewrite(892(3),2235(5),2808(9)),flip(a)]. 3260 ((x \ y) \ x) \ x = x \ (x \ (y * x)). [para(1134(a,1),891(a,2,1)),rewrite(300(2),196(3)),flip(a)]. 3265 ((x \ y) \ y) \ (x * y) = (x * y) \ (y * (x * y)). [para(495(a,1),891(a,2,1)),rewrite(188(3)),flip(a)]. 3292 ((x \ (y \ x)) \ (y \ x)) * z = (x \ y) * (x * ((x \ y) \ z)). [back_rewrite(1258),rewrite(3257(4))]. 3296 (((x \ y) \ y) \ x) * y = (x * y) \ (y * (x * y)). [back_rewrite(3022),rewrite(3265(8))]. 3312 (i(x) \ y) \ ((y * x) * y) = (x * y) \ (y * (x * y)). [para(854(a,1),892(a,1,1)),rewrite(277(3),426(4),188(2),305(4),3007(5),305(6),305(8),1602(9),426(9),2270(9)),flip(a)]. 3316 (x * (y \ (i(y) \ z))) * (i(z) * y) = (x * (i(z) * y)) * (y \ (z * y)). [para(892(a,1),51(a,2,2)),rewrite(1171(3),305(2))]. 3319 (x \ y) \ (x \ (y * y)) = y. [para(892(a,1),566(a,1,2,2)),rewrite(990(7),277(4),376(6),202(5),300(4),188(3),202(7),188(6),3(6))]. 3321 (x \ (y \ i(x))) \ (i(y) * i(x)) = (i(y) * i(x)) \ (x / (x * y)). [para(664(a,1),892(a,1,1)),rewrite(305(2),2530(4),277(2),319(14),364(13),494(13))]. 3326 (x \ y) \ x = y \ (x * x). [para(3319(a,1),3(a,1,2)),rewrite(1134(2))]. 3328 (x \ (y * y)) / y = x \ y. [para(3319(a,1),37(a,1,2))]. 3332 (x \ i(x)) * y = x \ (i(x) * y). [para(3319(a,1),212(a,1,1)),rewrite(300(2),300(6),202(5)),flip(a)]. 3333 (x / y) \ (x / (y * y)) = i(y). [para(274(a,1),3319(a,1,1)),rewrite(673(5),307(5))]. 3343 (x \ (y * y)) \ ((x \ (y * y)) / (x \ y)) = y / (x \ (y * y)). [para(3319(a,1),926(a,1,1)),flip(a)]. 3346 (((x * x) \ ((x * x) / y)) \ x) \ (y * (x * x)) = x. [para(1009(a,1),3319(a,1,2))]. 3351 (x \ (y * y)) \ (x \ y) = (x \ y) \ (y \ (y / x)). [para(3319(a,1),1371(a,1,2,2)),rewrite(926(3)),flip(a)]. 3371 (x \ (y * y)) \ y = y \ (y \ (x * y)). [back_rewrite(3260),rewrite(3326(2))]. 3377 (x \ i(y)) \ (y * y) = (y * (x * y)) * y. [back_rewrite(3117),rewrite(3326(4))]. 3397 ((x * y) \ y) \ (y \ (x \ (y * y))) = y. [back_rewrite(2202),rewrite(3326(4))]. 3402 (x * y) * (y \ x) = x * x. [back_rewrite(1948),rewrite(3326(4),3(5)),flip(a)]. 3409 (x \ (y * y)) \ (x \ (y * x)) = y \ x. [back_rewrite(1764),rewrite(3326(2))]. 3413 (x * (y \ (z * y))) * (y \ (z \ (y * y))) = (x * (i(z) * y)) * (y \ (z * y)). [back_rewrite(1665),rewrite(3326(5))]. 3420 i(x) \ (y * y) = x * (y * y). [back_rewrite(1500),rewrite(3326(3))]. 3431 (x \ y) \ (y * y) = y \ ((x * y) * y). [back_rewrite(1179),rewrite(3326(3))]. 3433 (x \ y) / (x \ (y * y)) = (y * x) \ x. [back_rewrite(1176),rewrite(3326(3))]. 3434 ((x * y) \ y) \ (y \ x) = y \ (x * x). [back_rewrite(1175),rewrite(3326(6))]. 3435 (x \ (y * y)) / (x \ y) = x \ (y * x). [back_rewrite(1174),rewrite(3326(2))]. 3437 (i(x) \ y) \ (x * x) = i(y) * x. [back_rewrite(1140),rewrite(3326(4))]. 3438 (x \ y) * y = x \ (y * y). [back_rewrite(1134),rewrite(3326(4))]. 3439 (x / y) \ (x * x) = y * x. [back_rewrite(1009),rewrite(3326(3))]. 3445 (i(x) * y) * i(x) = (x \ y) / x. [back_rewrite(736),rewrite(3332(5),304(4),203(2),2218(3)),flip(a)]. 3449 (x / (y / x)) * y = x * x. [back_rewrite(2017),rewrite(3402(6))]. 3451 x / (y \ (x * x)) = x \ y. [back_rewrite(3343),rewrite(3435(6),3409(5)),flip(a)]. 3456 (x \ y) * (y \ (x * x)) = x. [para(3326(a,1),3(a,1,2))]. 3457 (x * y) \ (x * x) = y \ x. [para(4(a,1),3326(a,1,1)),flip(a)]. 3460 (x \ (y \ i(y))) * y = i(x) * i(y). [para(3326(a,1),210(a,1,1)),rewrite(673(3),300(7))]. 3462 (x / y) \ i(x) = y / (x * x). [para(274(a,1),3326(a,1,1)),rewrite(673(7),307(7))]. 3465 (x \ (i(x) * y)) * (y \ (x * x)) = 1. [para(3326(a,1),370(a,1,2)),rewrite(1423(3))]. 3467 (x * (y \ (z * z))) * (z \ (z \ (y * z))) = (x * (z \ y)) * (y \ (z * z)). [para(3326(a,1),47(a,1,1,2)),rewrite(3326(5),3371(6),3326(11))]. 3471 (x \ (y * y)) * (y \ x) = x \ (y * x). [para(3326(a,1),1055(a,1,1)),rewrite(2120(8))]. 3475 x * (y \ (x * x)) = x / (x \ (x \ y)). [para(3326(a,1),1602(a,1,2))]. 3478 (x \ (y * x)) \ (((x \ y) / x) * y) = x \ (i(x) * y). [para(522(a,1),3326(a,1,1)),rewrite(1505(10),2266(8)),flip(a)]. 3488 (x * x) \ ((x * x) / ((y * z) \ (z * y))) = x \ (x / ((y * z) \ (z * y))). [back_rewrite(1377),rewrite(3457(7),1133(5)),flip(a)]. 3493 (x / (x * y)) / x = (x / y) / (x * x). [back_rewrite(2612),rewrite(3462(4)),flip(a)]. 3497 (x / (y / x)) * (y / (x * x)) = 1. [back_rewrite(2006),rewrite(3462(5))]. 3498 (x * i(y)) \ (x / (y * y)) = (y / x) \ ((y / x) / y). [back_rewrite(1550),rewrite(3462(5))]. 3499 (x / (x / y)) \ (x / y) = x / (y * y). [back_rewrite(1444),rewrite(3462(7))]. 3500 (x / y) * i(y) = x / (y * y). [back_rewrite(1426),rewrite(3462(6))]. 3501 (x / (x / y)) / x = (x * y) / (x * x). [back_rewrite(1270),rewrite(3462(4)),flip(a)]. 3510 ((x * y) / (x * x)) / (x / (x * y)) = (x / (x / y)) / (x / y). [back_rewrite(3091),rewrite(3501(3))]. 3521 ((x * y) / (x * x)) * z = x * ((y / x) * (x \ z)). [back_rewrite(941),rewrite(3501(3))]. 3618 x * ((x \ (y \ (x * x))) * z) = (y \ x) * (x * z). [para(3328(a,1),39(a,1,1)),flip(a)]. 3622 ((x * x) * y) \ x = y \ i(x). [para(3328(a,1),305(a,1)),rewrite(673(5),300(6),300(5),188(4)),flip(a)]. 3624 (((x * x) * y) / (x * x)) \ x = (y / (x * x)) \ i(x). [para(412(a,1),3328(a,1,1)),rewrite(364(4)),flip(a)]. 3626 (x \ (y * x)) / (y \ x) = x \ (y * y). [para(3328(a,1),925(a,1,1,2)),rewrite(3435(4),3451(5))]. 3645 (x \ y) / ((x / y) \ y) = i(y). [para(3328(a,1),794(a,1,1)),rewrite(3475(4),1945(5),300(3),664(4))]. 3646 (x \ y) * (y \ (x / y)) = i(y). [para(3328(a,1),836(a,1,1)),rewrite(3475(4),566(5),2576(4))]. 3654 ((x * y) * x) * y = (x * y) * (x * y). [para(4(a,1),3402(a,1,2))]. 3656 (x / y) * (x / y) = x * (y \ (x / y)). [para(6(a,1),3402(a,1,1)),flip(a)]. 3675 i(x) * ((x / y) \ y) = (x \ y) * (x \ y). [para(201(a,1),3402(a,1,1)),rewrite(2253(4))]. 3676 x \ (x / (y * y)) = y \ i(y). [para(3402(a,1),202(a,1,1)),rewrite(202(2),202(5),1468(6),3462(5)),flip(a)]. 3679 i(x) * (y \ (x \ i(y))) = (y * x) \ (x \ i(y)). [para(210(a,1),3402(a,1,1)),rewrite(740(10))]. 3681 (i(x) * i(y)) * (y / x) = x \ i(x). [para(274(a,1),3402(a,1,2)),rewrite(673(8))]. 3692 (x / ((x * y) / x)) \ (x * y) = (x / (x / y)) * y. [para(3402(a,1),412(a,1,1,1)),rewrite(859(3),300(8),1505(9),854(7))]. 3699 ((x \ y) / x) * y = (x \ y) * (x \ y). [para(962(a,1),3402(a,1,2)),rewrite(2000(4))]. 3703 (x \ (x / y)) * (x \ (x / y)) = x * ((y * x) \ (x \ (x / y))). [para(1131(a,1),3402(a,1,1)),flip(a)]. 3705 (x * (x * y)) * (x \ (x / y)) = x * x. [para(1133(a,1),3402(a,1,2))]. 3709 (x * y) * (x * y) = x * (y * (x * y)). [para(1370(a,1),3402(a,1,1)),rewrite(1151(4)),flip(a)]. 3712 (((x / y) \ y) * (y / x)) * y = ((x / y) \ y) * ((x / y) \ y). [para(1502(a,1),3402(a,1,2))]. 3725 (x * y) \ (x / ((x * y) / x)) = (y \ x) * (y \ i(x)). [para(3402(a,1),610(a,1,2,1)),rewrite(859(4),202(8))]. 3733 (x * (y * y)) * ((x \ y) \ y) = (i(x) \ y) * (i(x) \ y). [para(796(a,1),3402(a,1,2)),rewrite(3438(3),3420(3))]. 3737 ((x * y) * x) * (x \ (y \ x)) = x * x. [para(847(a,1),3402(a,1,2)),rewrite(1602(3),426(3),2270(3))]. 3758 (x \ (y * x)) \ ((x \ y) * (x \ y)) = x \ (i(x) * y). [back_rewrite(3478),rewrite(3699(5))]. 3761 (x \ y) \ (i(y) * x) = (y \ x) * (y \ x). [back_rewrite(2230),rewrite(3699(7))]. 3771 ((x * y) * x) * y = x * (y * (x * y)). [back_rewrite(3654),rewrite(3709(6))]. 3788 (x / y) \ (y * i(x)) = y * (x \ (y / x)). [back_rewrite(687),rewrite(3709(5),2577(4)),flip(a)]. 3797 i(x) \ (y * (x \ (y / x))) = (x / (x * y)) \ (y / x). [para(493(a,1),3438(a,1,1)),rewrite(40(4),1442(4),3656(8)),flip(a)]. 3798 (x * x) \ ((x * x) / y) = i(y). [para(1133(a,1),3438(a,2)),rewrite(3622(3),210(3)),flip(a)]. 3799 (x / y) \ (((y / x) \ x) * ((y / x) \ x)) = x / (x \ (y / x)). [para(1502(a,1),3438(a,1,1)),rewrite(1602(3)),flip(a)]. 3805 (x \ (y * y)) \ (y * y) = (y * y) \ (x * (y * y)). [para(892(a,1),3438(a,2)),rewrite(2155(4),892(3),1055(4),3326(3),877(3),3438(2),3326(4))]. 3808 x \ (x / ((y * z) \ (z * y))) = (z * y) \ (y * z). [back_rewrite(3488),rewrite(3798(7),300(4),202(2),2821(4)),flip(a)]. 3809 (i(x) \ y) \ (x * (y * y)) = y. [back_rewrite(3346),rewrite(3798(4))]. 3821 (x * (y * ((x * z) \ (z * x)))) \ (x * y) = (z * x) \ (x * z). [back_rewrite(1375),rewrite(3808(14))]. 3833 (x * y) \ (x * i(y)) = y \ i(y). [para(3439(a,1),212(a,1,1)),rewrite(203(3),202(6))]. 3839 (x * y) / (y * y) = x * i(y). [para(3439(a,1),926(a,1,1)),rewrite(3798(8),203(5))]. 3840 (x * i(y)) \ (x * y) = y * y. [para(3439(a,1),962(a,1,2)),rewrite(3798(5),203(2))]. 3841 ((x * x) \ (x / y)) \ (x / y) = (y * x) * (x / y). [para(3439(a,1),1055(a,1,1)),flip(a)]. 3852 (x * i(y)) \ (y * y) = ((y \ x) / y) \ y. [para(566(a,1),3439(a,1,1)),rewrite(1146(7))]. 3854 ((x / y) / x) \ (x * x) = x * (y * x). [para(674(a,1),3439(a,1,1)),rewrite(2286(7))]. 3909 x * ((x \ y) * ((x / (z / x)) \ ((z / x) \ x))) = y * ((x / (z / x)) \ ((z / x) \ x)). [para(1146(a,1),76(a,1,2,2,2)),rewrite(1732(3),1732(10),1146(12))]. 3932 (x * x) / y = x / (y / x). [para(3449(a,1),5(a,1,1))]. 3959 (x * x) * (y / x) = x / (x / (x * y)). [para(3449(a,1),50(a,1,1)),rewrite(1732(6),1753(7),854(6))]. 3963 x \ (x / (y / (x / y))) = x / (y * y). [para(3449(a,1),1171(a,1,2)),flip(a)]. 3966 ((x / (y / x)) \ y) \ y = i(y) * (x * x). [para(3449(a,1),495(a,1,2)),flip(a)]. 3969 ((x \ (y / x)) \ (x / y)) * x = x * ((x \ y) \ (x / (x \ y))). [para(566(a,1),3449(a,1,1,2)),rewrite(427(5),203(3),2576(3),3656(10))]. 3986 x \ ((y / (x / y)) \ x) = (y * y) \ x. [para(3449(a,1),891(a,2,1)),rewrite(203(3),3500(3),1146(3),3932(2))]. 3987 i(x) * (y * y) = x \ (y * y). [para(3449(a,1),892(a,2,2)),rewrite(203(3),3500(3),1146(3),3932(2),3966(4))]. 3993 (x * x) \ (x / (y / x)) = i(y). [back_rewrite(3798),rewrite(3932(3))]. 4001 x \ ((x * x) * y) = i(x) \ y. [para(3451(a,1),277(a,1)),rewrite(673(5),300(6),300(5),188(4)),flip(a)]. 4007 i(x) * (i(x) * y) = x \ (x \ y). [para(3451(a,1),926(a,2,2)),rewrite(3371(3),2231(4))]. 4013 x / (x \ (y * (x * x))) = (y * x) \ x. [para(891(a,1),3451(a,2)),rewrite(877(4),3438(3),3420(3))]. 4017 (x \ y) \ ((y * x) \ x) = y \ (y \ x). [back_rewrite(2537),rewrite(4007(8))]. 4029 (x / y) * (y / (x * x)) = i(x). [para(274(a,1),3456(a,1,1)),rewrite(673(5),307(5))]. 4042 (x \ (x \ (y * x))) / (y \ (x * x)) = (x \ (i(x) * y)) * (x \ y). [para(3456(a,1),523(a,1,1,2)),rewrite(3371(3),300(9),202(8),3332(9))]. 4074 (x \ y) / (y * y) = x \ i(y). [para(3457(a,1),926(a,1,1)),rewrite(3932(7),3993(8),202(5))]. 4075 (x \ i(y)) \ (x \ y) = y * y. [para(3457(a,1),962(a,1,2)),rewrite(3932(4),3993(5),202(2))]. 4077 ((x * x) \ (x * y)) \ (x * y) = (y \ x) * (x * y). [para(3457(a,1),1055(a,1,1)),flip(a)]. 4090 (x * x) \ (y \ x) = x \ ((y * x) \ x). [para(3457(a,1),847(a,2,2)),rewrite(202(2),3377(4),877(5),1133(3),1171(2),1936(3),196(4),891(3)),flip(a)]. 4094 (x * x) \ (x * (y * (x * y))) = (y \ x) \ (x * y). [para(3457(a,1),3326(a,1,1)),rewrite(3709(7)),flip(a)]. 4283 (x / (y / x)) * (y * z) = y * ((y \ (x * x)) * z). [para(3932(a,1),39(a,1,1))]. 4284 x * (y \ i(y)) = x / (y * y). [para(3932(a,1),203(a,1,1)),rewrite(203(3),3500(3),202(4)),flip(a)]. 4286 (x \ i(x)) \ y = i(x) \ (x * y). [para(277(a,1),3932(a,2,2)),rewrite(305(3),202(2),426(6))]. 4288 (x * y) / (((x * y) * y) / (x * y)) = ((x * y) * x) / (x * y). [para(3932(a,1),42(a,1))]. 4290 ((x * x) * y) / (x * x) = x / (x / ((x * y) / x)). [para(3932(a,1),317(a,2,2)),rewrite(202(4),4284(5),3932(8),2013(7))]. 4291 x * (y / (x / y)) = x / (x / (y * y)). [para(3932(a,1),854(a,1,2))]. 4293 (x / (x / (y * y))) / (y / (x / y)) = x. [para(3932(a,1),925(a,1,2))]. 4296 (x * (y * (x * y))) / y = (x * y) * x. [para(1171(a,1),3932(a,2,2)),rewrite(3709(3),1995(8))]. 4297 i(x) \ (x * y) = (x * x) * y. [para(3932(a,1),1378(a,1,2,2)),rewrite(3993(5),305(3),202(2),4286(3))]. 4298 (x \ (x / y)) / (x * y) = (y * y) \ i(x). [para(1378(a,1),3932(a,2,2)),rewrite(3703(5),496(6),5(2),1391(3),2005(4)),flip(a)]. 4299 (x * x) * i(y) = x / (y / x). [para(3932(a,1),1390(a,1,2)),rewrite(3993(6),203(3),3932(5))]. 4332 (x / (y * y)) \ i(y) = y / ((y * x) / y). [back_rewrite(3624),rewrite(4290(4),38(5)),flip(a)]. 4341 (x \ i(x)) \ y = (x * x) * y. [back_rewrite(4286),rewrite(4297(6))]. 4352 x * (i(x) \ y) = (x * x) * y. [back_rewrite(2004),rewrite(4297(6))]. 4365 ((x * y) \ y) / (x \ y) = i(y). [para(916(a,1),5(a,1,1))]. 4387 (x \ i(y)) * (z \ (y * x)) = (z * (y * x)) \ (y * x). [para(202(a,1),916(a,1,1))]. 4388 i(x) * ((i(x) \ y) * (z \ x)) = (i(y) \ x) * ((z * x) \ x). [para(916(a,1),39(a,1,2)),rewrite(305(2)),flip(a)]. 4389 (x * i(y)) * (z \ (y / x)) = (z * (y / x)) \ (y / x). [para(203(a,1),916(a,1,1))]. 4394 (x * i(y)) \ (y \ (x / y)) = (y / x) * ((y \ x) / y). [para(319(a,1),916(a,2,1)),rewrite(202(3),274(3),2218(4),3251(9)),flip(a)]. 4396 (x / y) / ((y / x) \ x) = (y / x) \ (x \ (y / x)). [para(845(a,1),916(a,1,2)),rewrite(203(3),594(3),3040(4),1732(7),3248(10),1146(7)),flip(a)]. 4400 (x / (y * y)) * (y / x) = (x / y) / x. [para(1390(a,1),916(a,1,2)),rewrite(203(3),3500(3),1732(7),3248(10),6(7))]. 4435 ((x \ y) / x) \ (x \ ((x \ y) / x)) = (x / y) * ((x \ y) / x). [back_rewrite(2569),rewrite(4396(6),4394(11))]. 4439 (x * y) \ (x / (x * y)) = y \ (y \ i(x)). [para(5(a,1),929(a,1,2,1)),rewrite(202(6))]. 4442 (x * i(y)) \ ((y / x) / y) = (x / y) \ (y / (y * x)). [para(925(a,1),929(a,1,2,1)),rewrite(2531(6),203(2),203(9),594(9))]. 4445 (i(x) \ y) / (x / (x / y)) = (x * y) / ((x * y) / x). [para(929(a,1),1055(a,2,1)),rewrite(1106(3),2849(5),2611(10))]. 4454 (x / y) / (x * x) = x / ((x * x) * y). [para(929(a,1),566(a,1,2,2)),rewrite(426(3),4297(3),3500(7)),flip(a)]. 4455 (x \ y) / (x * x) = x \ (y / (x * x)). [para(566(a,1),929(a,1,2,1)),rewrite(364(3),3462(3),3462(7)),flip(a)]. 4466 (x \ i(y)) * ((y / x) / y) = y \ ((y / x) * (x \ i(y))). [para(929(a,1),3438(a,1,1)),rewrite(3656(10),929(9))]. 4480 (x / (x * y)) / x = x / ((x * x) * y). [back_rewrite(3493),rewrite(4454(6))]. 4504 (x * i(y)) \ ((x / y) \ y) = ((y \ x) / y) \ (x \ y). [para(1502(a,1),930(a,1,2,2)),rewrite(2123(5),429(5),300(3),2266(3),203(6)),flip(a)]. 4506 ((x * y) * x) / (i(y) \ x) = x. [para(930(a,1),1747(a,1,2)),rewrite(2888(3),426(3),2270(3))]. 4517 x / (x \ (y \ (x * x))) = x \ (y * x). [para(3326(a,1),930(a,1,2,2)),rewrite(300(6),892(7))]. 4518 x / (x \ (i(x) * y)) = ((x \ y) / x) \ x. [para(3439(a,1),930(a,1,2,2)),rewrite(877(4),1055(3),3932(5),2888(4),300(2),203(6),3852(8))]. 4520 x / (x \ (x \ i(y))) = (x * (y * x)) * x. [para(3457(a,1),930(a,1,2,2)),rewrite(4090(4),3932(5),2888(4),202(2),202(6),3377(8))]. 4688 (x / y) / (y / (y * x)) = x / (y / x). [para(304(a,1),1008(a,1,2,2)),rewrite(494(4),188(6),1732(6))]. 4697 x / (x \ ((y * x) * (x \ z))) = ((z / x) \ i(y)) * x. [para(51(a,1),1008(a,1,2,2)),rewrite(202(8))]. 4703 (x \ (y * x)) * (x \ ((y \ x) \ x)) = (i(y) * x) \ (x \ (y * x)). [para(1008(a,1),664(a,2,1)),rewrite(1423(6),495(5))]. 4707 (x / (x * y)) / ((x * y) / (x * x)) = (x * i(y)) * (x / (x * y)). [para(836(a,1),1008(a,1,2,2)),rewrite(3462(6),203(8))]. 4709 x / (x \ (y * y)) = (y / (x / y)) \ x. [para(3449(a,1),1008(a,1,2,2)),rewrite(203(6),3500(6),1146(6),3932(5))]. 4712 (x \ (y \ x)) \ (x \ y) = (i(y) * x) \ y. [para(1008(a,1),3932(a,2,2)),rewrite(524(5),2246(3),5(5),429(8),300(6),202(5),1055(6),847(6)),flip(a)]. 4715 (x / (y / x)) \ (y \ (i(y) \ x)) = y * i(x). [back_rewrite(2945),rewrite(4688(4))]. 4716 (x / y) \ ((x / y) / x) = y \ (y / x). [back_rewrite(2297),rewrite(4688(5),2018(4))]. 4723 (x * i(y)) \ (x / (y * y)) = x \ (x / y). [back_rewrite(3498),rewrite(4716(9))]. 4731 (x / y) / (x / (y / x)) = y \ (y / x). [back_rewrite(2018),rewrite(4716(8))]. 4732 (x \ (x / y)) * (y / (x / y)) = y / x. [back_rewrite(2016),rewrite(4716(4))]. 4734 ((x / y) \ y) * (x \ (x / y)) = y / x. [back_rewrite(1599),rewrite(4716(6))]. 4736 ((x / y) \ y) \ (y / x) = x \ (x / y). [back_rewrite(1542),rewrite(4716(8))]. 4780 (x \ y) \ (x \ (y / x)) = i(x). [para(3451(a,1),1091(a,1,1)),rewrite(3475(4),566(5),2576(4))]. 4786 (x * i(y)) * (x / (x * y)) = (y * i(x)) \ (x / (x * y)). [para(1091(a,1),930(a,1,2,2)),rewrite(3462(6),4707(6),203(7))]. 4791 x / (x * (y \ (x / y))) = (x / (x * y)) \ (y / x). [para(925(a,1),1106(a,1,1,1)),rewrite(3499(6),3656(3),203(7),594(7))]. 4793 (x * i(y)) \ (y / (y \ x)) = (y \ (x / y)) \ (x \ y). [para(1603(a,1),1106(a,1,1,1)),rewrite(566(3),203(8),2576(8))]. 4797 i(x) \ (x / (x \ y)) = (y / (x * x)) \ x. [para(566(a,1),1106(a,1,1,1)),rewrite(364(3),3462(3)),flip(a)]. 4799 (x * x) * (y * x) = x * ((x * y) * x). [para(837(a,1),1106(a,1,1,1)),rewrite(362(3),2278(4),4297(7)),flip(a)]. 4801 (i(x) \ y) \ ((x / y) / x) = x \ ((x / y) * (y \ i(x))). [para(1106(a,1),3326(a,1,1)),rewrite(3656(10),929(9))]. 4803 ((x * x) * y) / x = x / (x / (x * y)). [para(1106(a,1),3328(a,1,1)),rewrite(202(2),4341(3),3932(5),4454(7),3959(6),38(8))]. 4809 (x / (x \ y)) * (i(y) * x) = (x \ (y / x)) \ (y \ x). [back_rewrite(2811),rewrite(4793(10))]. 4816 ((x * y) * x) * (x \ i(y)) = x. [para(1108(a,1),3(a,1,2))]. 4825 ((x * ((x \ y) * z)) * (y / x)) \ (y / x) = (y / x) \ (z \ i(x)). [para(39(a,1),1108(a,1,1,1)),rewrite(202(10))]. 4834 ((x * (y \ (z * y))) * ((x / y) * z)) \ ((x / y) * z) = ((x / y) * z) \ i(y). [para(50(a,1),1108(a,1,1,1))]. 4947 (x \ y) \ (x \ (x \ y)) = (x * y) \ y. [para(37(a,1),1182(a,1,2,1)),rewrite(916(7))]. 4961 (i(x) * i(y)) \ (y / (y * x)) = (y * x) / ((y * x) / y). [para(1182(a,1),796(a,1,2)),rewrite(305(2),2530(4),277(2),3321(7),305(8),2530(10),277(8),305(12),2530(14),277(12),2120(14),630(11),2611(11))]. 4970 x \ (i(x) * y) = (x * x) \ y. [para(3932(a,1),1182(a,1,2,1)),rewrite(3986(4),202(4),3332(5)),flip(a)]. 4989 x / ((x * x) \ y) = ((x \ y) / x) \ x. [back_rewrite(4518),rewrite(4970(3))]. 4996 (x \ (x \ (y * x))) / (y \ (x * x)) = ((x * x) \ y) * (x \ y). [back_rewrite(4042),rewrite(4970(9))]. 5002 (x \ (y * x)) \ ((x \ y) * (x \ y)) = (x * x) \ y. [back_rewrite(3758),rewrite(4970(9))]. 5011 ((x * x) \ y) * (y \ (x * x)) = 1. [back_rewrite(3465),rewrite(4970(3))]. 5014 (x \ i(x)) * y = (x * x) \ y. [back_rewrite(3332),rewrite(4970(6))]. 5020 ((x * x) \ y) \ (x \ ((y \ x) \ x)) = x. [back_rewrite(2199),rewrite(4970(3))]. 5023 i(x) * (x \ y) = (x * x) \ y. [back_rewrite(1423),rewrite(4970(6))]. 5063 (x \ y) * (x \ (y \ x)) = (y \ x) \ (x \ (y \ x)). [para(1438(a,1),566(a,1,2,2)),rewrite(305(6),300(5),202(4),1055(5),847(5),3326(5),3431(5),2861(6),300(8),202(7),1055(8),847(8)),flip(a)]. 5072 i(x) \ ((x * x) \ y) = x \ y. [para(1438(a,1),3319(a,1,1)),rewrite(5002(7))]. 5075 ((x * x) \ y) / (x \ y) = i(x). [para(1438(a,1),3328(a,2)),rewrite(5002(6))]. 5100 (x * x) \ (i(x) \ y) = x \ y. [para(1490(a,1),4(a,1,2))]. 5101 (i(x) \ y) / (x \ y) = x * x. [para(1490(a,1),5(a,1,1))]. 5121 (x * (y \ (x / y))) * ((x / y) \ z) = (y * i(x)) \ z. [para(203(a,1),1490(a,2,1)),rewrite(3656(3))]. 5122 (x * x) \ (x / y) = x \ i(y). [para(274(a,1),1490(a,1,2)),rewrite(673(3),5014(4),188(5))]. 5128 (i(x) \ y) / (x * x) = x / (x / (y / x)). [para(1490(a,1),317(a,1,1)),rewrite(202(4),4284(5),3932(8),3932(9),2013(8),3(6))]. 5129 x / ((x \ y) / x) = ((y / x) / x) \ x. [para(1490(a,1),412(a,1,1,1)),rewrite(5128(4),3439(5),1146(3),300(6),4799(7),2272(6),1732(6)),flip(a)]. 5139 (x * x) * (y \ x) = (y / (x * x)) \ x. [para(1371(a,1),1490(a,1,2)),rewrite(4797(7))]. 5141 (x * (y \ (x / y))) * x = ((x \ y) / x) \ (y \ x). [para(1502(a,1),1490(a,1,2)),rewrite(3656(3),203(6),4504(9))]. 5144 ((x \ y) * (x \ y)) * x = (y \ x) \ (x \ (y * x)). [para(522(a,1),1490(a,1,2)),rewrite(3709(5),664(4),3675(4),202(7),188(6))]. 5152 (x * x) * (y * i(x)) = x / ((x / y) / x). [para(610(a,1),1490(a,1,2)),rewrite(493(8),1744(7))]. 5182 (x * x) * (y \ i(x)) = x / ((x * y) / x). [para(929(a,1),1490(a,1,2)),rewrite(493(8),1732(6),2013(7))]. 5189 (x * i(y)) \ (y / (y * x)) = y / (y / (x \ (y / x))). [para(1091(a,1),1490(a,1,2)),rewrite(3656(3),317(5),203(6)),flip(a)]. 5195 x \ (i(x) \ ((i(y) * x) \ y)) = (i(y) * x) \ y. [para(1438(a,1),1490(a,1,2)),rewrite(524(5),2246(3),1289(6),300(9),202(8),1055(9),847(9),4712(10))]. 5200 (x \ i(y)) \ (x / y) = (y * x) * (x / y). [back_rewrite(3841),rewrite(5122(3))]. 5217 (x * i(y)) * (x / (x * y)) = x / (x / (y \ (x / y))). [back_rewrite(4786),rewrite(5189(10))]. 5234 (x / (x / y)) / ((x * y) / (x * x)) = (i(x) \ y) * (x / (x * y)). [para(1733(a,1),566(a,1,2,2)),rewrite(3501(5),203(11),594(11))]. 5248 (x / (x * y)) \ (i(x) \ y) = (x * y) * y. [para(1733(a,1),930(a,1,2,2)),rewrite(299(5),305(4),300(3),1965(4),203(5),594(5)),flip(a)]. 5364 (x * (y * y)) * (y \ i(x)) = (x * (y * y)) / (i(x) \ y). [para(1748(a,1),854(a,1,2)),rewrite(2876(10))]. 5373 (x * (y * x)) * x = x * (y * (x * x)). [para(1748(a,1),1378(a,1,2,2)),rewrite(4520(4))]. 5376 (x * (y * y)) * (i(x) \ y) = ((y * y) \ i(x)) \ (x * y). [para(1748(a,1),1732(a,2,2)),rewrite(2876(5),426(10),202(8))]. 5379 x / (x * (y * (x * x))) = x \ (y \ i(x)). [para(1748(a,1),594(a,1,1)),rewrite(2576(4),277(2)),flip(a)]. 5388 (x * (y * y)) \ i(y) = y \ ((x * y) \ i(y)). [para(1748(a,1),929(a,1,2,1)),rewrite(362(3)),flip(a)]. 5396 (x \ i(y)) \ (y * y) = y * (x * (y * y)). [back_rewrite(3377),rewrite(5373(7))]. 5406 ((x / y) / y) / (x / y) = x / (x * y). [para(38(a,1),1945(a,1,1,2)),rewrite(594(7))]. 5407 (x * i(y)) * (x * z) = x * ((y \ x) * z). [para(1945(a,1),39(a,1,1)),rewrite(1371(7))]. 5410 ((x * y) * y) / (x * y) = x / (x / y). [para(196(a,1),1945(a,2)),rewrite(188(2),188(3),1133(3),1727(4),188(4),310(8))]. 5417 (x \ y) \ (y \ (y / x)) = x \ (x / y). [para(1945(a,1),1133(a,2,2)),rewrite(1146(3),4736(6),1395(4),1970(7)),flip(a)]. 5423 (x / y) * ((x \ y) / x) = ((x / y) / x) / (x / y). [para(1502(a,1),1945(a,1,1,2)),rewrite(300(8),2266(8)),flip(a)]. 5425 ((x / y) / x) / (x / y) = (y / x) \ ((x \ y) / x). [para(1945(a,1),594(a,1,1)),rewrite(203(5),2576(5),4389(5),854(2),3254(4),1146(9),4396(10),4435(10),5423(8)),flip(a)]. 5427 (x / (x \ y)) / ((y / x) \ (x * x)) = (y / x) \ (x \ (y / x)). [para(1945(a,1),674(a,2,1)),rewrite(203(5),2576(5),3326(5),364(11),203(10),2576(10))]. 5428 (x \ y) * ((y * y) \ x) = x \ (y \ x). [para(3319(a,1),1945(a,1,1,2)),rewrite(926(2),2852(4),300(6),202(5),5014(6)),flip(a)]. 5442 (x \ ((y * x) * x)) / (x \ (y * x)) = (x \ (y \ x)) \ (y \ x). [para(1438(a,1),1945(a,1,1,2)),rewrite(305(4),300(3),202(2),1055(3),847(3),3326(3),3431(3),300(10),2235(11))]. 5446 ((x * y) * x) / (x * y) = (x * y) / (x / (x / y)). [back_rewrite(4288),rewrite(5410(5)),flip(a)]. 5448 (x \ i(y)) \ (x \ (x / y)) = y / (y / x). [back_rewrite(1155),rewrite(5410(9))]. 5461 (x \ (y * y)) \ (x \ y) = x \ (x / y). [back_rewrite(3351),rewrite(5417(8))]. 5464 (x \ y) / (y / (y \ x)) = x \ (x / y). [back_rewrite(1953),rewrite(5417(8))]. 5466 (x \ (x / y)) \ (i(y) * i(x)) = y \ (y / x). [back_rewrite(1610),rewrite(5417(10))]. 5468 (x \ (x / y)) \ (y \ (x \ y)) = x \ y. [back_rewrite(1093),rewrite(5417(4))]. 5471 ((x \ y) / x) \ (x \ ((x \ y) / x)) = (y / x) \ ((x \ y) / x). [back_rewrite(4435),rewrite(5423(10),5425(10))]. 5483 (x / (y * y)) \ (x * i(y)) = y. [para(188(a,1),2031(a,2)),rewrite(673(3),4284(3))]. 5501 (x \ (i(x) \ y)) \ (x * (y * y)) = y \ ((x * y) * y). [para(2031(a,1),1055(a,1,1)),rewrite(731(4),2935(7)),flip(a)]. 5532 ((x * x) \ i(y)) \ (y * x) = (x \ i(y)) \ (x * (y * x)). [para(2031(a,1),930(a,1,2,2)),rewrite(426(5),202(2),202(8)),flip(a)]. 5540 (x * (y * y)) * (i(x) \ y) = (y \ i(x)) \ (y * (x * y)). [back_rewrite(5376),rewrite(5532(10))]. 5690 (i(x) * i(y)) * (y * (y * x)) = (y \ x) \ x. [para(2122(a,1),1131(a,1,1,2)),rewrite(2530(4),926(2),1936(3),2795(7))]. 5691 (x * y) / ((y * x) * y) = i(y). [para(1133(a,1),2122(a,1,1,1)),rewrite(3326(3),3439(3))]. 5725 (i(x) \ y) * (i(x) \ y) = x * (y * (x * y)). [para(2122(a,1),3449(a,1,1,2)),rewrite(305(3),202(2),3326(3),3420(3),3733(5),3709(8))]. 5751 (x * ((y / z) \ z)) * (i(z) * y) = (x * (y / z)) * ((y / z) \ z). [para(2123(a,1),47(a,1,2))]. 5752 (x \ (y / x)) \ (i(x) * y) = x. [para(2123(a,1),962(a,1,2)),rewrite(37(3))]. 5766 (x / y) * (x * x) = ((x \ y) / x) \ x. [para(2123(a,1),1490(a,1,2)),rewrite(5751(8),1055(4),3005(4),3030(7),1502(5),300(6),2266(6))]. 5794 (x / (x \ y)) \ ((y / x) \ (x * x)) = y \ (i(y) \ x). [para(2180(a,1),1371(a,1,2,2)),rewrite(305(6),203(5),2576(5),3326(5),2271(10))]. 5798 (x / (x * y)) / (x / y) = (y / x) \ (x \ (y / x)). [para(2180(a,1),566(a,1,2,2)),rewrite(305(6),203(5),2576(5),3326(5),5427(6),203(8),2576(8),2562(8)),flip(a)]. 5801 ((x \ (y / x)) \ (x / y)) \ (x / y) = y / (x * x). [para(2180(a,1),847(a,2,2)),rewrite(203(3),2576(3),3462(9))]. 5803 ((x * x) \ y) \ i(x) = y \ x. [para(892(a,1),2180(a,1,1,2)),rewrite(990(5),277(2),5014(3),5(5),202(7),188(6))]. 5804 (x / y) \ (x * ((x \ y) \ (x / (x \ y)))) = (y / (x * x)) \ x. [para(2180(a,1),3326(a,1,1)),rewrite(4797(4),3656(9)),flip(a)]. 5825 (x / y) * (x \ (y / x)) = (y / x) \ (x \ (y / x)). [back_rewrite(2562),rewrite(5798(8))]. 5827 (x / y) * (i(x) * ((x / y) \ z)) = ((y / x) \ (x \ (y / x))) * z. [back_rewrite(2491),rewrite(5798(10))]. 5829 (x / (y * y)) * (y * z) = y * (((y \ x) / y) * z). [para(2218(a,1),39(a,2,2,1)),rewrite(364(3),3462(3))]. 5837 (x / y) \ (y \ (y / x)) = (y / x) / x. [para(494(a,1),2218(a,2,1)),rewrite(203(4),1314(5),274(4),2580(8))]. 5845 (((x / y) / y) \ y) / (y / (y \ x)) = y. [para(2218(a,1),1603(a,1,1,2)),rewrite(5129(3),2224(6))]. 5849 (x \ (y \ x)) / (i(y) \ x) = (i(y) \ x) \ (x \ (x / y)). [para(847(a,1),2218(a,2,1)),rewrite(300(5),1268(6),274(5)),flip(a)]. 5858 (x \ y) * (x \ i(y)) = (x \ y) / (y * x). [para(3457(a,1),2218(a,2,1)),rewrite(202(4),5182(5),3725(5))]. 5883 (x * y) \ (x / ((x * y) / x)) = (y \ x) / (x * y). [back_rewrite(3725),rewrite(5858(9))]. 5970 ((x * y) / x) \ (x / y) = (x / y) / y. [para(38(a,1),2224(a,2,2)),rewrite(203(2),319(3))]. 5973 (x * (y * i(z))) \ (z / y) = (z / y) / ((z / y) \ x). [para(203(a,1),2224(a,1,1,2))]. 5976 (x * (i(y) * z)) \ (z \ y) = (z \ y) / ((z \ y) \ x). [para(300(a,1),2224(a,1,1,2))]. 5984 ((x * i(y)) * (i(y) \ z)) \ y = y / (y \ (x * (i(z) \ y))). [para(51(a,1),2224(a,1,1)),rewrite(305(8))]. 5992 (x \ y) / (y \ (x * x)) = ((y / x) \ x) \ (x \ y). [para(3326(a,1),2224(a,2,2)),rewrite(300(2),664(3)),flip(a)]. 5993 (x \ (y \ i(y))) \ y = y * (y * (x * y)). [para(3438(a,1),2224(a,1,1)),rewrite(673(3),3124(8))]. 5994 (x / ((x / y) / x)) \ (x / y) = (x / y) / (y * x). [para(3439(a,1),2224(a,2,2)),rewrite(203(3),5152(4))]. 5997 (x / (x / y)) * y = (x * y) / (y \ x). [para(3457(a,1),2224(a,2,2)),rewrite(202(3),5182(4),3692(5))]. 6005 (x * i(y)) \ (y / (x / y)) = (y \ (x / y)) \ (y / x). [para(2224(a,1),2218(a,2,1)),rewrite(202(5),274(5),1732(4),427(10),203(8),2576(8))]. 6020 (x / ((x * y) / x)) \ (x * y) = (x * y) / (y \ x). [back_rewrite(3692),rewrite(5997(8))]. 6025 (x \ i(y)) \ (z \ (y * x)) = (z / (y * x)) \ (y * x). [para(202(a,1),2253(a,1,1))]. 6028 (i(x) * y) \ (z \ (y \ x)) = (z / (y \ x)) \ (y \ x). [para(300(a,1),2253(a,1,1))]. 6029 ((x \ y) / x) * ((y / x) \ x) = 1. [para(2253(a,1),370(a,1,2)),rewrite(300(2),3445(4))]. 6030 (x * ((y / z) \ z)) * ((y \ z) \ (z \ (y \ z))) = (x * i(z)) * ((y / z) \ z). [para(2253(a,1),47(a,1,1,2)),rewrite(2253(6),2500(7),2253(13))]. 6035 (x * x) \ (y / x) = x \ ((x \ y) / x). [para(2253(a,1),1602(a,2,2)),rewrite(2530(4),5023(4),277(7),300(6),2266(6))]. 6043 (x \ (y \ x)) \ (y \ x) = (y \ x) \ ((y / x) \ x). [para(2253(a,1),796(a,1,2)),flip(a)]. 6044 (i(x) * i(y)) \ ((y \ x) \ x) = y * (y * x). [para(796(a,1),2253(a,1,2)),rewrite(300(3),37(9),2019(10))]. 6052 ((x * x) * y) * x = x * ((x * y) * x). [para(3439(a,1),2253(a,1,2)),rewrite(202(2),4341(4),4799(3),4454(6),3439(8)),flip(a)]. 6059 ((x \ y) / x) \ (i(y) * x) = (y / x) \ ((y / x) \ x). [para(1182(a,1),2253(a,1,2)),rewrite(300(3),2266(3),37(8))]. 6062 (x \ ((x \ y) / x)) \ ((x * x) \ y) = x. [para(2253(a,1),2180(a,1,1,2)),rewrite(277(4),300(3),2266(3),277(6),300(5),4970(6),188(8))]. 6068 (x \ ((y * x) * x)) / (x \ (y * x)) = (y \ x) \ ((y / x) \ x). [back_rewrite(5442),rewrite(6043(10))]. 6072 ((x \ y) \ ((x / y) \ y)) * z = (y \ x) * (y * ((y \ x) \ z)). [back_rewrite(3292),rewrite(6043(4))]. 6129 (x / y) * ((y \ x) / y) = (y / x) \ ((y \ x) / y). [para(2262(a,1),3439(a,1,1)),rewrite(3656(6),3797(7),3(2)),flip(a)]. 6187 (x / (y / x)) \ (y / x) = (x / y) \ ((x \ y) / x). [para(2266(a,1),664(a,1,2)),rewrite(6129(4)),flip(a)]. 6191 (i(x) \ y) \ (y \ (y / x)) = (x * y) \ i(x). [para(847(a,1),2266(a,2,1)),rewrite(300(3),37(6),2545(5),277(2),362(3),5849(8)),flip(a)]. 6196 (x * i(y)) * (y / ((y / x) / y)) = (x * y) / (y / x). [para(3439(a,1),2266(a,2,1)),rewrite(203(2),3932(5))]. 6232 (x \ (y \ x)) / (i(y) \ x) = (y * x) \ i(y). [back_rewrite(5849),rewrite(6191(10))]. 6264 (x \ (y * x)) \ y = (y * x) \ (x * y). [para(28(a,1),95(a,1,2,2)),rewrite(300(4),202(2),2821(4),1784(4),2(4))]. 6294 ((x * y) \ (y * x)) * (x * z) = ((y * x) \ (x * y)) \ (x * z). [para(95(a,1),1055(a,1,1)),rewrite(3821(12))]. 6310 x * (y * ((z * x) \ (x * z))) = (x * y) / ((x * z) \ (z * x)). [para(95(a,1),1602(a,2,2)),rewrite(3821(8),20(5))]. 6373 (x / (y * z)) * (z * y) = x * ((y * z) \ (z * y)). [back_rewrite(2101),rewrite(6264(6),240(8),6264(7))]. 6509 i(x) * ((y * i(z)) \ (i(z) * y)) = x \ ((z / y) * (i(z) * y)). [back_rewrite(316),rewrite(6310(9),304(3),277(7),300(6),202(3),274(3)),flip(a)]. 6639 (x \ (y \ x)) \ (y \ (y / x)) = x \ y. [para(3319(a,1),2269(a,1,2,2)),rewrite(300(4),202(3),5014(4),5428(4),926(4))]. 6650 ((x \ y) / x) \ (y \ x) = (y / x) \ (x / (x \ y)). [para(2269(a,1),1490(a,1,2)),rewrite(3709(5),2577(4),5141(4),202(7),274(7))]. 6662 (x * (y \ (x / y))) * x = (y / x) \ (x / (x \ y)). [back_rewrite(5141),rewrite(6650(8))]. 6673 (x * (y * ((x * z) \ (z * x)))) * (x * y) = (((z * x) \ (x * z)) / (x * y)) \ (x * y). [para(18(a,1),2270(a,2,1)),rewrite(202(2),6294(7),6025(8)),flip(a)]. 6677 (x \ i(y)) \ (z * (y * x)) = ((y * x) * z) * (y * x). [para(202(a,1),2270(a,1,1))]. 6681 (x * i(y)) \ (z * (y / x)) = ((y / x) * z) * (y / x). [para(203(a,1),2270(a,1,1))]. 6686 (x / (x * y)) * (x / y) = (x / y) / y. [para(304(a,1),2270(a,1,2)),rewrite(203(2),309(4),594(5)),flip(a)]. 6697 ((x / y) \ y) * (y / x) = (y \ (x / y)) \ (y / x). [para(1146(a,1),2270(a,2,1)),rewrite(203(2),1732(4),6005(5)),flip(a)]. 6699 ((x * y) * y) * (x * y) = (x * y) * ((y * x) * y). [para(2270(a,1),1602(a,1,2)),rewrite(426(9),202(6),6677(9)),flip(a)]. 6737 (x * (y * y)) * (i(x) \ y) = (x * y) * ((y * x) * y). [back_rewrite(5540),rewrite(6677(10),6699(9))]. 6746 ((x / y) \ y) * ((x / y) \ y) = y * ((y \ x) \ (y / (y \ x))). [back_rewrite(3712),rewrite(6697(4),3969(5)),flip(a)]. 6751 x / (x \ (y / x)) = (y / (x * x)) \ x. [back_rewrite(3799),rewrite(6746(6),5804(7)),flip(a)]. 6758 ((x * y) / (y \ x)) * i(x) = (x / (x / y)) / (x / y). [para(2272(a,1),8(a,1)),rewrite(310(4),310(6),38(5),310(8),5997(7)),flip(a)]. 6770 (x * (y * i(z))) * x = x / (x \ (z / y)). [para(203(a,1),2272(a,1,1,2))]. 6786 x / (x \ (y / (x \ z))) = z * (y \ x). [para(2272(a,1),50(a,2,2,2)),rewrite(39(4),6770(5),1371(7))]. 6807 (x \ (y / x)) * (x \ y) = ((y / x) \ x) \ (x \ y). [para(3326(a,1),2272(a,2,2)),rewrite(2576(3),5992(8))]. 6811 (x / (x \ y)) * i(y) = x * (y \ (x / y)). [para(2272(a,1),3402(a,1,1)),rewrite(4(5),3709(9),2577(8))]. 6882 ((x * x) * y) * ((y \ i(x)) * z) = (y \ i(x)) * ((x * (y * x)) * z). [para(2278(a,1),39(a,2,2,1)),rewrite(426(3),4297(3))]. 6894 x \ ((x / y) * (y \ i(x))) = y \ (y \ i(x)). [para(630(a,1),2278(a,2,2)),rewrite(300(3),188(2),4(2),4466(8)),flip(a)]. 6904 x / (x \ (x \ y)) = (y / x) \ (x * x). [para(3438(a,1),2278(a,2,2)),rewrite(2530(3),3326(3),3475(6)),flip(a)]. 6924 (i(x) \ y) \ ((x / y) / x) = y \ (y \ i(x)). [back_rewrite(4801),rewrite(6894(10))]. 7009 (x * (y * ((x * z) \ (z * x)))) / (((x * z) \ (z * x)) \ (((x * z) \ (z * x)) / (x * y))) = (((z * x) \ (x * z)) / (x * y)) \ (x * y). [para(96(a,1),1732(a,1,2)),rewrite(6673(7),1163(21)),flip(a)]. 7010 x * (y * ((x * z) \ (z * x))) = (x * y) / ((z * x) \ (x * z)). [para(96(a,1),1747(a,1,2)),rewrite(1163(14),7009(15),926(9),1390(9)),flip(a)]. 7206 i(x) * ((i(y) * z) \ (z * i(y))) = x \ ((z \ y) * (z * i(y))). [back_rewrite(315),rewrite(7010(9),304(3),277(7),300(6),202(3),188(2)),flip(a)]. 7214 (x * y) * ((x * z) \ (z * x)) = (x * y) / ((z * x) \ (x * z)). [back_rewrite(18),rewrite(7010(10))]. 7248 (i(x) \ y) * (y \ (x \ i(y))) = i(y). [para(2284(a,1),201(a,1,1)),rewrite(202(5),202(4))]. 7249 x * ((i(y) \ x) * z) = (x * y) * (x * z). [para(2284(a,1),39(a,2,2,1)),rewrite(5(3)),flip(a)]. 7271 (x * y) \ (y * (x * y)) = y \ (((y \ x) \ x) * y). [para(2284(a,1),796(a,2,1)),rewrite(2270(6),877(6),599(4),3312(9)),flip(a)]. 7276 (x * y) \ (x * ((x * x) * y)) = y \ ((x * x) * y). [para(3402(a,1),2284(a,1,2,1)),rewrite(818(4),300(7),877(9),672(7))]. 7291 (x * (x * y)) * x = x * (x * (y * x)). [para(2284(a,1),1490(a,1,2)),rewrite(5139(4),277(3),202(2),5993(4),2270(7)),flip(a)]. 7315 (i(x) \ y) \ ((y * x) * y) = y \ (((y \ x) \ x) * y). [back_rewrite(3312),rewrite(7271(9))]. 7316 (((x \ y) \ y) \ x) * y = y \ (((y \ x) \ x) * y). [back_rewrite(3296),rewrite(7271(8))]. 7318 (x \ (y * x)) \ (i(y) \ x) = x \ (((x \ y) \ y) * x). [back_rewrite(3007),rewrite(7271(9))]. 7557 x * ((x \ y) * (z * (x \ y))) = y * ((z / x) * y). [para(2286(a,1),40(a,2,2)),rewrite(300(2),496(5),5(3),2286(4)),flip(a)]. 7560 (x * (y * (z * y))) / (x * y) = (y \ i(x)) \ (z / x). [para(2286(a,1),42(a,1,1,2)),rewrite(496(9),277(7))]. 7564 (i(x) \ y) * (x / (x * y)) = (x * y) / (x / (x / y)). [para(2286(a,1),319(a,2,1)),rewrite(300(5),319(6),364(5),494(5),2877(10))]. 7597 (x \ (y * (x * x))) * (x \ y) = (x \ y) * (i(x) \ y). [para(1490(a,1),2286(a,2,2)),rewrite(300(2),877(4),3438(3),3420(3))]. 7606 ((x * y) * x) * x = x * ((y * x) * x). [para(2218(a,1),2286(a,1,1)),rewrite(305(4),300(3),2224(4),426(3),2270(3),188(5))]. 7615 (((x / y) \ y) / x) * y = y * ((x \ y) * (x \ y)). [back_rewrite(1181),rewrite(7557(6),3699(3)),flip(a)]. 7616 (x * y) * (y / x) = (x * (y * y)) / x. [back_rewrite(832),rewrite(7560(5),5200(4))]. 7618 (x / (x / y)) / ((x * y) / (x * x)) = (x * y) / (x / (x / y)). [back_rewrite(5234),rewrite(7564(11))]. 7648 (x \ (y * x)) * (i(x) * i(y)) = y \ (y / x). [para(962(a,1),2291(a,1,2,2)),rewrite(300(4),203(3),1282(4),1437(5),1391(5))]. 7668 x * ((x * x) \ y) = i(x) * y. [para(892(a,1),2291(a,1,2,2)),rewrite(202(3),188(2),3(2),990(5),277(2),5014(3))]. 7707 (i(x) * y) \ (y * i(x)) = (y \ x) * (y * i(x)). [para(1(a,1),97(a,2)),rewrite(24(2),26(3),26(5),7206(7),3(6),26(6),26(8)),flip(a)]. 7893 (x \ (y \ z)) \ (i(z) * y) = (y \ z) \ (x / (y \ z)). [para(300(a,1),2530(a,1,2))]. 7904 x * ((y \ x) * (y \ x)) = (x \ (y / x)) \ (y \ x). [para(2530(a,1),3326(a,1,1)),rewrite(3420(9)),flip(a)]. 7928 (((x / y) \ y) / x) * y = (y \ (x / y)) \ (x \ y). [back_rewrite(7615),rewrite(7904(8))]. 7958 (x \ (y / x)) \ (x \ y) = y \ (i(y) \ x). [para(2576(a,1),1133(a,1,1)),rewrite(305(8),300(7),892(8),2550(8))]. 8054 (x / y) * (y \ i(x)) = x * (y \ (y \ i(x))). [para(2621(a,1),3402(a,1,1)),rewrite(6924(5),3656(9),929(8)),flip(a)]. 8059 (x * (x * y)) * (i(y) * i(x)) = x. [para(1182(a,1),2621(a,1,2)),rewrite(305(2),2530(4),277(2),3124(4),1744(4),1171(2),1391(3),427(4),305(3),2019(4))]. 8284 x * ((x \ (y * (x * x))) * z) = (i(y) \ x) * (x * z). [para(2876(a,1),39(a,1,1)),flip(a)]. 8289 (x * (y * y)) * (y \ (z * y)) = ((i(x) \ y) * z) * y. [para(2876(a,1),50(a,1,1,1)),flip(a)]. 8304 (x \ (x \ y)) / ((x * y) \ y) = x \ y. [para(929(a,1),2876(a,2)),rewrite(277(2),305(4),300(3),188(2),277(4),305(6),300(5),188(4),7904(6),5(2),4017(4),277(4),305(6),300(5),188(4),188(7))]. 8332 (x \ (y * y)) \ (i(y) * x) = ((y * y) \ x) * (y \ x). [para(3319(a,1),2888(a,1,1,2)),rewrite(3371(3),4996(6),300(8)),flip(a)]. 8340 (x / (x * y)) \ (y * i(x)) = (x / (x / y)) / (x / y). [para(1091(a,1),2888(a,1,1,2)),rewrite(3462(4),3510(6),203(8)),flip(a)]. 8346 ((x * x) \ y) / x = x \ ((x \ y) / x). [para(2123(a,1),2888(a,1,1,2)),rewrite(4970(3),300(6),2266(6))]. 8392 ((x \ y) \ y) * ((x \ y) \ y) = (y \ x) * (i(x) \ y). [para(2909(a,1),3449(a,1,1,2)),rewrite(926(3),37(2)),flip(a)]. 8419 (((x \ y) / x) * z) / ((x \ y) / x) = ((z * (x / y)) \ ((y / x) \ x)) \ x. [para(3045(a,1),42(a,1,2)),rewrite(305(7),202(6),203(5),300(4),664(5)),flip(a)]. 8808 ((x * (x * ((y * z) \ (z * y)))) \ ((y * z) \ (z * y))) * (((y * z) \ (z * y)) \ (x * x)) = (z * y) \ (y * z). [para(22(a,1),3242(a,1,1,1)),rewrite(300(19),202(17),2821(19))]. 8818 ((x * x) \ y) * (y \ x) = i(x). [para(3242(a,1),196(a,2,2)),rewrite(300(2),3241(5),673(3),5014(3),212(7))]. 8824 (x \ (y \ (x * x))) * (x \ y) = i(x) * ((x \ y) \ y). [para(3242(a,1),47(a,1,1)),rewrite(3438(7),877(7),3438(6)),flip(a)]. 8835 (x \ (y \ x)) * (y \ (y / x)) = x \ i(y). [para(1133(a,1),3242(a,1,2)),rewrite(2162(4),202(7))]. 8839 (x / (y * y)) * y = x * i(y). [para(1502(a,1),3242(a,1,2)),rewrite(6697(4),5801(6),203(5))]. 8846 ((x * y) \ y) \ (y \ ((x \ y) \ y)) = (y \ x) * ((x \ y) \ y). [para(3242(a,1),610(a,1,2,1)),rewrite(277(6),300(5),495(5),300(10),495(10))]. 8919 (x \ (x / y)) \ (x / (y * (x * (y * x)))) = x \ i(y). [para(1171(a,1),3333(a,1,1)),rewrite(3709(5),202(9))]. 8952 x * (y * (x \ (x / y))) = y \ (i(y) \ x). [para(3333(a,1),2272(a,2,2)),rewrite(203(4),4299(4),854(4),570(4),40(4),305(7),203(6),1133(7),305(6))]. 8956 (x / ((x * y) / x)) / (y / (x * x)) = (y / (x * x)) \ (x * i(y)). [para(3333(a,1),2888(a,1,1,2)),rewrite(4332(4),203(10))]. 9100 (x \ i(y)) \ (z * z) = (y * x) * (z * z). [para(202(a,1),3420(a,1,1))]. 9102 (x * i(y)) \ (z * z) = (y / x) * (z * z). [para(203(a,1),3420(a,1,1))]. 9106 (i(x) * y) \ (z * z) = (y \ x) * (z * z). [para(300(a,1),3420(a,1,1))]. 9109 x * ((y * y) \ (z * (y * y))) = (z \ (y / (x / y))) \ (y * y). [para(50(a,1),3420(a,2)),rewrite(202(4),203(3),4299(3)),flip(a)]. 9110 (x * (y * y)) / x = x / (x / (y * y)). [para(3420(a,1),1055(a,1,1)),rewrite(317(4),306(8)),flip(a)]. 9113 (x / (y * y)) / x = x / (x * (y * y)). [para(3420(a,1),674(a,1,2)),flip(a)]. 9130 (x * y) * (x * x) = x * (y * (x * x)). [back_rewrite(5396),rewrite(9100(4))]. 9137 (x * y) * (y / x) = x / (x / (y * y)). [back_rewrite(7616),rewrite(9110(6))]. 9164 x / (y * (x * (y * x))) = y \ (x \ i(y)). [para(5(a,1),3462(a,1,1)),rewrite(202(2),3709(6)),flip(a)]. 9169 ((x \ y) / z) \ (i(y) * x) = z / ((x \ y) * (x \ y)). [para(300(a,1),3462(a,1,2))]. 9172 (x / y) / (y * (i(x) \ (x / y))) = i(x) * i(y). [para(925(a,1),3462(a,1,1)),rewrite(203(3),594(3),1278(3),3656(9),2531(8)),flip(a)]. 9173 x / ((y \ x) * (y \ x)) = (x / y) \ y. [para(926(a,1),3462(a,1,1)),rewrite(300(4),2798(5)),flip(a)]. 9188 (x * y) / ((y \ x) * (i(x) \ y)) = x \ y. [para(2122(a,1),3462(a,1,1)),rewrite(300(4),916(4),2253(4),5(2),8392(7)),flip(a)]. 9199 (x \ (x / y)) \ (y \ (x \ i(y))) = x \ i(y). [back_rewrite(8919),rewrite(9164(6))]. 9204 x / ((x \ y) * (x \ y)) = (y / x) \ ((y / x) \ x). [back_rewrite(6059),rewrite(9169(5))]. 9210 (x / (y * y)) * (y / (y / z)) = ((x / y) * z) * i(y). [para(3500(a,1),8(a,1,1)),rewrite(310(6))]. 9217 (x / (y \ z)) * (i(z) * y) = x / ((y \ z) * (y \ z)). [para(300(a,1),3500(a,1,2))]. 9226 (x * y) \ (x \ (x / y)) = y \ (x \ i(y)). [para(1171(a,1),3500(a,1,1)),rewrite(202(4),1399(5),3709(7),9164(8))]. 9253 (x \ (y / x)) / x = x \ (y / (x * x)). [para(3500(a,1),2218(a,1,2)),flip(a)]. 9267 (x \ (y / x)) \ (y \ x) = (y / x) \ ((y / x) \ x). [back_rewrite(4809),rewrite(9217(5),9204(4)),flip(a)]. 9276 (i(x) * i(y)) * (y \ (y / x)) = x \ (y \ i(x)). [back_rewrite(1737),rewrite(9226(10))]. 9288 (((x / y) \ y) / x) * y = (x / y) \ ((x / y) \ y). [back_rewrite(7928),rewrite(9267(8))]. 9304 i(x) * ((x * x) * y) = x * y. [para(3622(a,1),300(a,1,1)),rewrite(300(3),188(2)),flip(a)]. 9309 (x / (y * y)) / y = (x / y) / (y * y). [para(1732(a,1),3622(a,1,1)),rewrite(3932(4),38(5),3932(5),3462(7))]. 9535 (i(x) * y) * (x \ (y / x)) = (x / (x \ y)) \ (y / x). [para(3646(a,1),1008(a,1,2,2)),rewrite(212(6),203(4),427(5),300(3),203(2),2272(3),300(6)),flip(a)]. 9607 (x * (y * y)) / (y \ ((x * y) \ y)) = (i(y) * i(x)) \ (x * (y * y)). [para(3809(a,1),930(a,1,2,2)),rewrite(2155(5),300(9))]. 9610 (i(x) * i(y)) \ (y * (x * x)) = (y * (x * (y * x))) * x. [para(3809(a,1),1490(a,1,2)),rewrite(5725(5),300(7)),flip(a)]. 9623 (x * (y * y)) / (y \ ((x * y) \ y)) = (x * (y * (x * y))) * y. [back_rewrite(9607),rewrite(9610(12))]. 9625 (x * i(y)) \ (i(y) * x) = y * ((y * x) \ x). [para(1(a,1),124(a,2)),rewrite(24(2),26(3),26(5),1784(7),891(3),26(5),26(7)),flip(a)]. 9630 i(x) \ ((x * y) \ y) = x * ((x * y) \ y). [para(24(a,1),124(a,1,2,1)),rewrite(26(3),26(5),9625(6),1314(5),3(6),26(7),26(9),9625(10),1(9))]. 9652 i(x) * ((x / y) * (x * ((x * z) \ z))) = i(y) * (x * ((x * z) \ z)). [para(494(a,1),124(a,1,2,1)),rewrite(277(6),203(5),4(6),277(8),203(7),4(8),9625(8),850(8),277(11),203(10),4(11),277(13),203(12),4(13),9625(13))]. 9750 i(x) * (y * ((y * z) \ z)) = x \ ((y / z) * (i(y) * z)). [back_rewrite(6509),rewrite(9625(6))]. 9768 i(x) * ((i(x) \ y) * (z * ((z * x) \ x))) = y * (z * ((z * x) \ x)). [back_rewrite(2060),rewrite(9630(7),9630(12))]. 9775 i(x) * ((x / y) * (x * ((x * z) \ z))) = y \ ((x / z) * (i(x) * z)). [back_rewrite(9652),rewrite(9750(12))]. 9793 (x * (y \ (z * y))) / (y * y) = ((x / y) * z) * i(y). [para(50(a,1),3839(a,1,1))]. 9797 x * ((x \ y) \ y) = (y / x) \ (x * y). [para(3839(a,1),1146(a,1,1)),rewrite(5407(4),1055(2),3932(6),5(5))]. 9799 (x / y) \ (((x \ y) / x) \ x) = x * x. [para(3839(a,1),1502(a,1,2,1)),rewrite(3932(3),5(2),9102(5),5766(4))]. 9809 (x * y) / (y \ x) = x / ((y \ x) / y). [para(3402(a,1),3839(a,1,1)),rewrite(3932(5),3932(4),37(3),300(6),1505(7),854(5),5997(6)),flip(a)]. 9826 (x * i(y)) \ (y \ i(x)) = y / ((x * y) * x). [para(3839(a,1),3462(a,1,1)),rewrite(202(4),3709(9),3932(10),4296(9))]. 9833 (x / (x / y)) / (x / y) = x / (x * ((y \ x) / y)). [back_rewrite(6758),rewrite(9809(3),594(5)),flip(a)]. 9835 (x / ((x * y) / x)) \ (x * y) = x / ((y \ x) / y). [back_rewrite(6020),rewrite(9809(8))]. 9836 (x / (x / y)) * y = x / ((y \ x) / y). [back_rewrite(5997),rewrite(9809(6))]. 9857 (x / (x * y)) \ (y * i(x)) = x / (x * ((y \ x) / y)). [back_rewrite(8340),rewrite(9833(9))]. 9861 (x / (x / y)) * (y / x) = x / (x * ((y \ x) / y)). [back_rewrite(1734),rewrite(9833(8))]. 9862 (x \ y) * (x \ y) = ((y / x) \ x) \ y. [para(3(a,1),3840(a,1,2)),rewrite(300(2),664(3)),flip(a)]. 9886 (x / (x * y)) \ ((y / x) \ x) = x * x. [para(1146(a,1),3840(a,1,2)),rewrite(594(3))]. 9887 (i(x) \ y) \ (x / y) = y \ i(y). [para(1370(a,1),3840(a,1,2)),rewrite(300(4),203(3),1282(4),1588(5),1133(3),3676(3),9862(7),1106(5)),flip(a)]. 9890 ((x * x) \ i(y)) \ ((y \ x) \ x) = y * (x * (y * x)). [para(495(a,1),3840(a,1,2)),rewrite(202(3),5023(4),3709(9))]. 9894 ((x / y) \ y) \ x = y \ ((y / x) \ x). [para(664(a,1),3840(a,1,2)),rewrite(202(3),188(2),3(2),3709(8),664(7),3675(7),9862(6)),flip(a)]. 9896 (i(x) \ (x / y)) \ i(y) = y * (x \ (x \ i(y))). [para(836(a,1),3840(a,1,2)),rewrite(203(4),317(4),940(4),2578(4),3656(10),4439(9))]. 9906 (x * (y \ (x / y))) * (y * y) = (y / x) \ (x * y). [para(3840(a,1),1490(a,1,2)),rewrite(3709(5),2577(4),202(8),274(8))]. 9927 (x * (x * y)) \ y = (x * y) \ (x \ y). [para(3061(a,1),3840(a,1,2)),rewrite(300(5),300(4),196(5),2796(5),9862(8),926(5),3326(6),3439(6))]. 9947 x / (y \ ((y / x) \ x)) = (x / y) \ y. [back_rewrite(9173),rewrite(9862(3),9894(3))]. 9959 (x \ y) * (i(y) \ x) = (y \ (y \ x)) \ x. [back_rewrite(8392),rewrite(9862(5),37(2)),flip(a)]. 9998 (x \ ((x / y) \ y)) \ y = (x \ y) \ (y \ (x * y)). [back_rewrite(5144),rewrite(9862(3),9894(3),1055(4),9894(3))]. 10014 (x \ y) \ (i(y) * x) = y \ ((y / x) \ x). [back_rewrite(3761),rewrite(9862(7),9894(7))]. 10021 ((x \ y) / x) * y = x \ ((x / y) \ y). [back_rewrite(3699),rewrite(9862(6),9894(6))]. 10022 i(x) * ((x / y) \ y) = x \ ((x / y) \ y). [back_rewrite(3675),rewrite(9862(7),9894(7))]. 10030 (i(x) * y) \ (y \ x) = y \ ((y / x) \ x). [back_rewrite(733),rewrite(9862(7),9894(7))]. 10039 (x \ y) * (x \ y) = x \ ((x / y) \ y). [back_rewrite(9862),rewrite(9894(6))]. 10050 ((x * ((y * z) \ (z * y))) \ (x \ ((y * z) \ (z * y)))) * (((y * z) \ (z * y)) \ (x * x)) = (z * y) \ (y * z). [back_rewrite(8808),rewrite(9927(9))]. 10064 (x * y) / ((x \ (x \ y)) \ y) = x \ y. [back_rewrite(9188),rewrite(9959(5))]. 10082 (x * i(y)) * (z * z) = (y / x) \ (z * z). [para(203(a,1),3987(a,1,1))]. 10085 ((x * x) \ y) \ y = y \ ((x * x) * y). [para(3987(a,1),196(a,1,1)),rewrite(1055(3))]. 10087 ((x * x) * y) \ y = y \ ((x * x) \ y). [para(3987(a,1),494(a,2,2)),rewrite(305(3),202(2),4341(3),188(4),277(7),300(6),202(5),5014(6))]. 10132 (x \ y) * (y * x) = x \ ((y * y) * x). [back_rewrite(4077),rewrite(10085(5),818(4),7276(5)),flip(a)]. 10165 i(x) \ ((y * z) \ (z * y)) = x * ((y * z) \ (z * y)). [para(22(a,1),4001(a,1,2)),rewrite(4(6)),flip(a)]. 11020 ((x * (y / (z * z))) \ (y * i(z))) \ z = ((z / y) * x) / (z / y). [para(4029(a,1),42(a,1,2)),rewrite(305(7),202(6),203(5))]. 11024 (x / (y * y)) \ (y * i(x)) = (y / (x / y)) / (x / y). [para(4029(a,1),523(a,1,1,2)),rewrite(4332(4),8956(6),203(8),4299(8),1955(9))]. 11068 (x / ((x * y) / x)) / (y / (x * x)) = (x / (y / x)) / (y / x). [back_rewrite(8956),rewrite(11024(11))]. 11070 (x * x) * ((x \ ((y * x) \ x)) * z) = (y \ i(x)) * ((x * x) * z). [para(4074(a,1),39(a,1,1)),rewrite(4090(9)),flip(a)]. 11082 (x \ i(y)) * (x \ y) = (y * x) \ (x \ y). [para(4074(a,1),1146(a,1,1)),rewrite(3932(7),926(6),1378(7))]. 11085 (x * y) \ (x * (y * (x * x))) = x * x. [para(4074(a,1),1502(a,1,2,1)),rewrite(3932(3),926(2),1378(3),9100(5),9130(4))]. 11087 x / (x \ (y * (y * x))) = y \ (y \ x). [para(522(a,1),4074(a,1,1)),rewrite(10039(5),1171(2),1503(4),300(9),202(8),1055(9),847(9),6028(9),37(6))]. 11105 x / (x \ (y \ (y \ x))) = y * (y * x). [para(3141(a,1),4074(a,1,1)),rewrite(10039(5),37(2),300(9),300(8),196(9),6025(9),1171(6),1503(8))]. 11125 (x * x) \ (x * y) = i(x) * y. [para(4075(a,1),212(a,1,1)),rewrite(300(4),188(3),300(5))]. 11126 (x / y) \ (i(x) \ y) = y * y. [para(274(a,1),4075(a,1,1))]. 11139 (x \ (x \ y)) \ y = y \ (x * (x * y)). [para(522(a,1),4075(a,1,2)),rewrite(300(5),202(4),1055(5),847(5),6028(5),37(2),10039(8),1171(5),1503(7))]. 11140 i(x) \ (i(y) \ (y / x)) = x * (i(y) \ (y / x)). [para(567(a,1),4075(a,1,2)),rewrite(203(4),594(4),4439(4),11139(5),1124(4),3656(10),2531(9))]. 11143 i(x) \ (y * (x * y)) = x * (y * (x * y)). [para(796(a,1),4075(a,1,2)),rewrite(300(3),4970(4),9890(6),10039(8),277(6),2278(7)),flip(a)]. 11151 (x * i(y)) \ (x \ i(y)) = y * (x \ (x \ i(y))). [para(929(a,1),4075(a,1,2)),rewrite(203(3),203(2),319(3),610(3),3656(10),929(9),8054(9))]. 11161 (x * y) \ (x \ i(x)) = y \ (x \ (x \ i(x))). [para(4075(a,1),2224(a,2,2)),rewrite(300(4),188(3),10132(3),1468(6),5(3),825(3),362(8),202(7)),flip(a)]. 11163 (x * (x * x)) * y = x * ((x * x) * y). [para(4075(a,1),2266(a,2,1)),rewrite(300(3),188(2),426(5),300(3),877(5),672(3),8(5),426(7),202(5),4341(7),818(6))]. 11175 (x * y) \ (x \ y) = y \ (x \ (x \ y)). [para(3141(a,1),4075(a,1,2)),rewrite(300(5),300(4),196(5),6025(5),1171(2),1503(4),9927(3),10039(8),37(5))]. 11183 i(x) * (y * (x * y)) = (y \ x) \ (x * y). [back_rewrite(4094),rewrite(11125(5))]. 11200 (x * y) / (y \ (x * (x * y))) = x \ y. [back_rewrite(10064),rewrite(11139(4))]. 11230 i(x) \ (y \ (y \ i(x))) = x * (y \ (y \ i(x))). [back_rewrite(11151),rewrite(11175(5))]. 11234 (((x * y) \ (y * x)) \ (z \ (z \ ((x * y) \ (y * x))))) * (((x * y) \ (y * x)) \ (z * z)) = (y * x) \ (x * y). [back_rewrite(10050),rewrite(11175(9))]. 11237 (x * (x * y)) \ y = y \ (x \ (x \ y)). [back_rewrite(9927),rewrite(11175(6))]. 11242 x * (y * (z \ (y / z))) = x / (z * (y \ (z / y))). [para(203(a,1),4284(a,1,2,2)),rewrite(3788(4),3656(7))]. 11243 (x / (x * (y * y))) * z = x * ((y * y) \ (x \ z)). [para(4284(a,1),40(a,1,1,1)),rewrite(9113(3),5014(8))]. 11246 x * (y \ ((y / z) \ z)) = x / (z \ ((z / y) \ y)). [para(300(a,1),4284(a,1,2,2)),rewrite(10014(4),10039(7))]. 11251 ((x / y) / (z * z)) * y = x * (y \ ((z * z) \ y)). [para(4284(a,1),50(a,1,1)),rewrite(5014(7))]. 11571 (x * (y * (x * y))) * (y \ (z * y)) = (y \ i(x)) \ ((x * z) * y). [para(8(a,1),4297(a,1,2)),rewrite(202(2),3709(8)),flip(a)]. 11574 (x \ i(y)) \ ((y * x) * z) = (y * (x * (y * x))) * z. [para(202(a,1),4297(a,1,1)),rewrite(3709(8))]. 11581 (i(x) * y) \ ((y \ x) * z) = (y \ ((y / x) \ x)) * z. [para(300(a,1),4297(a,1,1)),rewrite(10039(8))]. 11588 (i(x) * y) \ ((x \ y) \ y) = (x \ y) \ (y \ (x * y)). [para(1055(a,1),4297(a,1,2)),rewrite(300(2),10039(8),1055(9),9894(8),9998(9))]. 11604 (i(x) * y) \ (y \ (x / y)) = y \ (((y / x) \ x) / y). [para(2576(a,1),4297(a,1,2)),rewrite(300(2),10039(8),2576(10))]. 11634 (x / (y / x)) * (y / (y / z)) = ((x * x) * z) * i(y). [para(4299(a,1),8(a,1,1)),rewrite(310(6))]. 11636 (x * x) * (y \ i(z)) = x / ((z * y) / x). [para(202(a,1),4299(a,1,2))]. 11641 (x * x) * (i(y) * z) = x / ((z \ y) / x). [para(300(a,1),4299(a,1,2))]. 11690 x * (x * ((y / (y * z)) \ i(z))) = x / ((z * (y / (y * z))) / x). [back_rewrite(2484),rewrite(11636(6)),flip(a)]. 11704 (x * (y * y)) * ((y * y) \ z) = (y * y) \ (((y * y) * x) * z). [para(4341(a,1),39(a,2,2,1)),rewrite(426(3),3420(3),5014(5),5014(11))]. 11705 (x * (y \ (x / y))) * z = (y * (x \ (y / x))) \ z. [para(203(a,1),4341(a,1,1,2)),rewrite(3788(4),3656(7)),flip(a)]. 11706 ((x * x) \ (y * (x * x))) * z = (x * x) \ (y * ((x * x) * z)). [para(4341(a,1),40(a,2,2,2)),rewrite(5014(3),426(5),300(3),3987(3),3805(4),5014(11))]. 11708 (x \ ((x / y) \ y)) * z = (y \ ((y / x) \ x)) \ z. [para(300(a,1),4341(a,1,1,2)),rewrite(10014(4),10039(7)),flip(a)]. 11732 (x \ (y / x)) \ y = (y / x) \ (x * y). [back_rewrite(9906),rewrite(11705(5),3457(5))]. 11736 (x * (y \ (x / y))) \ y = (x / y) \ (y / (y \ x)). [back_rewrite(6662),rewrite(11705(4))]. 11740 (x * (y \ (x / y))) \ ((y / x) \ z) = (x * i(y)) \ z. [back_rewrite(5121),rewrite(11705(6))]. 11750 (i(x) * y) \ ((y \ x) * z) = (x \ ((x / y) \ y)) \ z. [back_rewrite(11581),rewrite(11708(9))]. 11833 (x \ (x \ ((y * z) \ (z * y)))) / ((y * z) \ (z * y)) = x \ i(x). [para(673(a,1),156(a,2)),rewrite(4007(7))]. 11882 (x * y) \ (y \ i(x)) = y \ (x \ (y \ i(x))). [para(916(a,1),156(a,1,1,2)),rewrite(202(2),4387(8),3150(7),11833(11),202(3),202(6),202(8),10039(9),305(6),2530(8),277(6))]. 11961 i(x) * (y \ (x \ i(y))) = x \ (y \ (x \ i(y))). [back_rewrite(3679),rewrite(11882(9))]. 12044 (x \ y) * ((y \ x) \ x) = (y \ x) \ ((y \ x) \ x). [para(4365(a,1),929(a,1,2,1)),rewrite(277(6),300(5),495(5),8846(6),300(8),495(8))]. 12064 (i(x) \ y) * ((y \ (((y \ x) \ x) * y)) * z) = (y * x) * (y * z). [para(4506(a,1),39(a,1,1)),rewrite(7249(4),7315(10)),flip(a)]. 12142 (x / (x \ y)) \ (y / x) = x \ (((x / y) \ y) / x). [para(4780(a,1),930(a,1,2,2)),rewrite(212(6),203(4),427(5),300(3),203(2),2272(3),300(6),11604(9))]. 12147 (x \ (y * x)) / (x \ y) = x \ ((y * x) * (y \ x)). [para(4780(a,1),1945(a,1,1,2)),rewrite(305(3),300(2),892(3),300(8),203(7),2272(8),854(8),1967(8))]. 12166 (i(x) * y) * (x \ (y / x)) = x \ (((x / y) \ y) / x). [back_rewrite(9535),rewrite(12142(9))]. 12171 (x \ y) \ ((x / y) \ y) = y \ (x / ((y \ x) / y)). [back_rewrite(6068),rewrite(12147(6),3241(5),317(3),9836(3)),flip(a)]. 12206 (x \ (y / ((x \ y) / x))) * z = (x \ y) * (x * ((x \ y) \ z)). [back_rewrite(6072),rewrite(12171(4))]. 12213 (x \ (y \ x)) \ (y \ x) = x \ (y / ((x \ y) / x)). [back_rewrite(6043),rewrite(12171(8))]. 12495 (x * y) / (x * (y \ i(z))) = (x * ((y * z) * y)) / x. [para(4816(a,1),42(a,1,1,2))]. 12572 (x / y) \ ((y * i(x)) * z) = (x * (y \ (x / y))) \ z. [para(203(a,1),4970(a,1,2,1)),rewrite(3656(8))]. 12574 (x \ y) \ ((i(y) * x) * z) = (x \ ((x / y) \ y)) \ z. [para(300(a,1),4970(a,1,2,1)),rewrite(10039(8))]. 12579 (x * x) \ (y * (x * x)) = x \ (x \ ((y * x) * x)). [para(796(a,1),4970(a,2)),rewrite(3420(4),731(4),3805(8)),flip(a)]. 12591 (x * x) \ (x \ y) = x \ ((x * x) \ y). [para(4352(a,1),4970(a,1,2)),rewrite(673(3),5014(3),188(6)),flip(a)]. 12597 (x \ (x \ ((y * x) * x))) * z = (x * x) \ (y * ((x * x) * z)). [back_rewrite(11706),rewrite(12579(4))]. 12598 x * (y \ (y \ ((z * y) * y))) = (z \ (y / (x / y))) \ (y * y). [back_rewrite(9109),rewrite(12579(4))]. 12623 ((x * x) \ y) * (y \ (z * y)) = ((x * x) \ z) * y. [para(5014(a,1),8(a,1,1)),rewrite(5014(8))]. 12660 (x * i(y)) * ((y / x) \ z) = (y * (x \ (y / x))) \ z. [para(203(a,1),5023(a,1,1)),rewrite(3656(8))]. 12666 x / (x / (y \ (x / y))) = (y / x) \ ((x / y) / x). [para(494(a,1),5023(a,1,2)),rewrite(203(2),5217(5),3656(7),657(9))]. 12669 (i(x) * y) * ((y * y) \ x) = (y * x) \ x. [para(5023(a,1),495(a,1,2)),rewrite(300(2),1172(8),1256(10))]. 12676 (x \ y) * (x \ (y * x)) = (y \ x) \ (x \ (y * x)). [para(892(a,1),5023(a,1,2)),rewrite(202(3),188(2),3709(9),664(8),10022(8),9998(8))]. 12722 (x * i(y)) \ (y / (y * x)) = (x / y) \ ((y / x) / y). [back_rewrite(5189),rewrite(12666(9))]. 12999 ((x \ y) \ y) * ((y * y) \ z) = i(y) * (x * (y \ z)). [para(5072(a,1),40(a,2,2,2)),rewrite(305(4),202(3),188(2))]. 13007 ((x * x) \ y) * (x \ y) = ((x * x) \ y) / (y \ x). [para(5072(a,1),1602(a,1,2)),rewrite(5803(10))]. 13017 ((x * x) \ y) / ((x \ y) \ y) = x \ ((x * x) \ y). [para(5072(a,1),930(a,1,2,2)),rewrite(511(6),188(7))]. 13030 (x \ (y * y)) \ (i(y) * x) = ((y * y) \ x) / (x \ y). [back_rewrite(8332),rewrite(13007(9))]. 13052 (x \ y) * (y \ (x * y)) = x \ (i(x) \ y). [para(5075(a,1),664(a,2,1)),rewrite(300(4),3987(4),3471(5),1172(7))]. 13062 (x \ y) \ (x \ (i(x) \ y)) = y \ (x * y). [para(5075(a,1),1182(a,1,2,1)),rewrite(1172(4),300(8),3987(8),3471(9))]. 13078 (x \ y) * (x * x) = x \ (y * (x * x)). [para(5100(a,1),1055(a,1,1)),rewrite(3437(7),877(7),3438(6),3420(6))]. 13081 (i(x) * i(y)) \ (y \ x) = (i(y) \ x) * (y \ x). [para(5100(a,1),1602(a,1,2)),rewrite(3437(10),429(9),300(7)),flip(a)]. 13092 (x \ y) * (i(x) \ y) = (y \ x) \ (x * y). [para(5100(a,1),3438(a,1,1)),rewrite(10039(10),277(8),2278(9),11143(9),11125(9),11183(8))]. 13093 (x * (y \ (x / y))) \ (((x \ y) / x) \ x) = y * x. [para(3439(a,1),5100(a,2)),rewrite(3656(3),203(5),9102(7),5766(6))]. 13172 (x \ (y * (x * x))) * (x \ y) = (y \ x) \ (x * y). [back_rewrite(7597),rewrite(13092(9))]. 13176 x * (y \ (x / y)) = (x / (x \ y)) / y. [para(38(a,1),5101(a,1,2)),rewrite(203(2),2224(3),3656(6)),flip(a)]. 13211 (x / (x \ y)) / y = x / (y / (y \ x)). [para(1091(a,1),5101(a,1,2)),rewrite(203(2),12722(5),305(6),300(5),203(3),203(2),319(3),40(4),13176(3),854(4),38(5),3656(6),13176(6)),flip(a)]. 13214 x * (i(y) \ (y / x)) = ((x * y) * y) / x. [para(1733(a,1),5101(a,1,2)),rewrite(203(3),594(3),5248(5),3656(8),2531(7)),flip(a)]. 13240 (x / (y / (y \ x))) \ (((x \ y) / x) \ x) = y * x. [back_rewrite(13093),rewrite(13176(3),13211(3))]. 13245 (x * i(y)) * ((y / x) \ z) = (y / (x / (x \ y))) \ z. [back_rewrite(12660),rewrite(13176(8),13211(8))]. 13246 (x / y) \ ((y * i(x)) * z) = (x / (y / (y \ x))) \ z. [back_rewrite(12572),rewrite(13176(8),13211(8))]. 13255 (x / (y / (y \ x))) \ ((y / x) \ z) = (x * i(y)) \ z. [back_rewrite(11740),rewrite(13176(3),13211(3))]. 13259 (x / (y / (y \ x))) \ y = (x / y) \ (y / (y \ x)). [back_rewrite(11736),rewrite(13176(3),13211(3))]. 13268 (x / (y / (y \ x))) * z = (y / (x / (x \ y))) \ z. [back_rewrite(11705),rewrite(13176(3),13211(3),13176(7),13211(7))]. 13274 x * (y / (z / (z \ y))) = x / (z / (y / (y \ z))). [back_rewrite(11242),rewrite(13176(3),13211(3),13176(7),13211(7))]. 13309 (x / (x \ y)) * i(y) = x / (y / (y \ x)). [back_rewrite(6811),rewrite(13176(7),13211(7))]. 13324 x / (x / (y / (y \ x))) = (x / (x * y)) \ (y / x). [back_rewrite(4791),rewrite(13176(3),13211(3))]. 13345 (x / y) * (x / y) = x / (y / (y \ x)). [back_rewrite(3656),rewrite(13176(6),13211(6))]. 13350 x * (y \ (x / y)) = x / (y / (y \ x)). [back_rewrite(13176),rewrite(13211(6))]. 13369 i(x) \ (i(y) \ (y / x)) = ((x * y) * y) / x. [back_rewrite(11140),rewrite(13214(9))]. 13383 (x / y) / (((y * x) * x) / y) = i(x) * i(y). [back_rewrite(9172),rewrite(13214(5))]. 13455 ((x * y) * z) / (x * z) = z \ ((z * (x * y)) / x). [para(204(a,1),196(a,2,2)),rewrite(300(4),300(3),188(2),8(5),1018(7),1468(10),362(7),306(9))]. 13498 x * ((y / x) * (x \ ((x / (x * y)) \ ((y / x) \ i(z))))) = (x / (x * y)) \ i(z). [para(836(a,1),204(a,1,1,2)),rewrite(3462(4),3521(10))]. 13538 (x \ y) * (y \ ((x / y) / z)) = y \ i(z). [para(2272(a,1),204(a,1,1,2)),rewrite(1371(3),309(5))]. 13595 x \ ((x * (y * x)) / y) = y / (y / x). [back_rewrite(5410),rewrite(13455(4))]. 13619 (x / ((x * x) * y)) * ((x * x) * z) = (x * x) * ((x \ i(y)) * z). [para(5122(a,1),39(a,2,2,1)),rewrite(4454(3))]. 13628 (x / (x \ y)) \ (i(x) * y) = ((y / x) \ x) \ (x \ y). [para(1603(a,1),5122(a,1,2)),rewrite(13345(5),3326(3),5992(4),38(6),300(8)),flip(a)]. 13649 (x / y) / (y * x) = x / ((y * x) * y). [para(5122(a,1),2253(a,1,2)),rewrite(203(2),9826(5),3932(6),5994(8)),flip(a)]. 13800 ((x / y) \ y) \ (((y \ x) / y) \ x) = x. [para(5752(a,1),3457(a,2)),rewrite(12166(5),3709(9),664(8),10022(8),7958(8),300(5),2266(5))]. 13802 ((x / y) \ y) \ (y \ x) = (x \ y) \ (y \ (y \ x)). [para(5752(a,1),930(a,1,2,2)),rewrite(376(6),300(5),4007(5),300(7),203(6),2272(7),13628(9)),flip(a)]. 13819 (x \ (y / x)) * (x \ y) = (y \ x) \ (x \ (x \ y)). [back_rewrite(6807),rewrite(13802(8))]. 13822 (x \ y) / (y \ (x * x)) = (y \ x) \ (x \ (x \ y)). [back_rewrite(5992),rewrite(13802(8))]. 13836 (x * y) \ (y * x) = y \ (x \ (y * x)). [para(34(a,1),233(a,2,2)),rewrite(1133(7),277(6),300(5),202(3),2821(5),1172(6),10165(5),1784(4),24(8),300(7),202(5),2821(7)),flip(a)]. 13837 x \ ((x * y) * (z \ (x \ (z * x)))) = y * (z \ (x \ (z * x))). [para(233(a,1),37(a,1,2)),rewrite(13836(4),277(8),300(7),300(3),188(2),13836(9))]. 13856 (x * y) * (z \ (x \ (z * x))) = x * (y * (z \ (x \ (z * x)))). [para(233(a,1),300(a,1,1)),rewrite(13836(3),300(7),300(3),188(2),188(7),13836(8))]. 14077 (x \ (x \ (y \ (z \ (y * z))))) / (y \ (z \ (y * z))) = x \ i(x). [back_rewrite(11833),rewrite(13836(3),13836(8))]. 14102 ((x \ (y \ (x * y))) \ (z \ (z \ (x \ (y \ (x * y)))))) * ((x \ (y \ (x * y))) \ (z * z)) = y \ (x \ (y * x)). [back_rewrite(11234),rewrite(13836(3),13836(6),13836(12),13836(18))]. 14612 i(x) \ (y \ (z \ (y * z))) = x * (y \ (z \ (y * z))). [back_rewrite(10165),rewrite(13836(4),13836(8))]. 14807 (x \ y) * (x * i(y)) = x \ (y / (y / x)). [back_rewrite(7707),rewrite(13836(5),310(4)),flip(a)]. 14834 x * (y * (z \ (x \ (z * x)))) = (x * y) / (x \ (z \ (x * z))). [back_rewrite(7214),rewrite(13836(4),13856(5),13836(9))]. 15125 (x / (y * z)) * (z * y) = x * (z \ (y \ (z * y))). [back_rewrite(6373),rewrite(13836(7))]. 15211 x \ (x / (y \ (z \ (y * z)))) = z \ (y \ (z * y)). [back_rewrite(3808),rewrite(13836(3),13836(8))]. 15241 (x \ i(y)) * (x * y) = x \ (y \ (x * y)). [back_rewrite(2821),rewrite(13836(7))]. 15248 (x / y) * (z \ (y * z)) = x * (y \ (z \ (y * z))). [back_rewrite(2062),rewrite(13836(7))]. 15304 (A * B) * (C \ (D \ (C * D))) != A * (B * (C \ (D \ (C * D)))). [back_rewrite(10),rewrite(13836(10),13836(20))]. 15305 x \ ((x * y) / (x \ (z \ (x * z)))) = y * (z \ (x \ (z * x))). [back_rewrite(13837),rewrite(13856(5),14834(5))]. 15488 x * (((x * x) \ y) * (x \ z)) = (x \ (y / x)) * z. [para(7668(a,1),40(a,1,1,1)),rewrite(376(3),2530(3)),flip(a)]. 15551 ((x / y) / y) * (y / x) = x / (x * y). [para(845(a,1),8818(a,1,2)),rewrite(13345(5),38(3),38(4),203(7),594(7))]. 15615 ((x / (y * y)) * z) / (x / (y * y)) = ((z * y) \ (y / (x / y))) \ (y / x). [para(8839(a,1),42(a,1,2)),rewrite(427(7),202(5),203(4),4299(4)),flip(a)]. 15638 (x * (y * (x * y))) * y = (x * y) * (x * (y * y)). [para(8839(a,1),2272(a,1,1)),rewrite(188(2),673(4),426(4),3420(4),673(7),426(7),3420(7),673(9),426(9),3420(9),2155(9),9623(10)),flip(a)]. 15662 ((x \ (y * z)) * u) * (z \ i(y)) = i(x) * ((y * z) / ((y * z) / u)). [para(238(a,1),8(a,1,1)),rewrite(694(7),713(7)),flip(a)]. 15706 (x \ (y \ i(z))) \ (y \ i(z)) = ((z * y) * x) / (z * y). [para(1106(a,1),238(a,1,1)),rewrite(202(2),1055(6),203(11),203(10),202(9),513(11))]. 15788 (x / (y / (y \ x))) \ (y * ((y \ x) * z)) = y * ((x \ y) * z). [para(39(a,1),11125(a,1,2)),rewrite(13345(3),203(9),5407(11))]. 15789 (x / (y / (y \ x))) \ ((x / y) * z) = (y * i(x)) * z. [para(203(a,1),11125(a,2,1)),rewrite(13345(3))]. 15831 ((x * y) * y) / x = (x * y) / (x / y). [para(40(a,1),11126(a,2)),rewrite(11126(8),13345(5),4(3),610(6),1124(6),13214(7)),flip(a)]. 15853 (i(x) \ y) / (((x \ y) \ y) \ y) = (y * i(x)) \ (i(x) \ y). [para(11126(a,1),930(a,1,2,2)),rewrite(3431(6),2246(5),3003(6),203(8))]. 15857 (x * i(y)) \ (i(y) \ x) = (y / (y \ x)) * x. [para(11126(a,1),1490(a,1,2)),rewrite(13345(3),13268(5),3439(5),203(5)),flip(a)]. 15859 (x / y) * (i(y) * i(x)) = (x / y) / (i(x) \ y). [para(11126(a,1),1945(a,1,1,2)),rewrite(9113(5),39(4),1055(3),1602(4),930(4),300(8)),flip(a)]. 15868 ((i(x) \ y) / (x / y)) \ (x / y) = (x / y) / (y * y). [para(11126(a,1),2272(a,2,2)),rewrite(300(4),15859(5),1146(6))]. 15876 (x \ y) \ (x * y) = y \ (x * (x * y)). [para(2909(a,1),11126(a,1,1)),rewrite(300(3),6044(6),10039(8),926(6),3326(7),3439(7)),flip(a)]. 15925 (x / y) / ((y * x) / (y / x)) = i(x) * i(y). [back_rewrite(13383),rewrite(15831(4))]. 15939 i(x) \ (i(y) \ (y / x)) = (x * y) / (x / y). [back_rewrite(13369),rewrite(15831(8))]. 15957 (i(x) \ y) / (((x \ y) \ y) \ y) = (x / (x \ y)) * y. [back_rewrite(15853),rewrite(15857(11))]. 16012 (x \ y) * (x \ z) = x \ ((y / x) * z). [para(240(a,1),4(a,1,2)),flip(a)]. 16019 x * ((y \ x) \ (x \ (x \ y))) = (y / x) * (x \ y). [para(1602(a,1),240(a,1,2)),rewrite(3326(3),13822(4))]. 16045 ((x / y) / (x / (x \ y))) * z = ((y / x) \ ((x \ y) / x)) * z. [para(2180(a,1),240(a,1,2,1)),rewrite(5827(8),5471(6)),flip(a)]. 16093 (x \ (y \ x)) * y = x \ (y \ (x * y)). [back_rewrite(14102),rewrite(16012(15),14077(12),13078(7),1314(6),672(5),4(5),34(4),24(5),300(4),300(3),202(2),1055(3),847(3))]. 16097 (x \ y) \ (y \ (y \ x)) = y \ (((x / y) / y) * x). [back_rewrite(13819),rewrite(16012(4)),flip(a)]. 16121 (x \ y) \ (y * x) = y \ (x * (y * x)). [back_rewrite(13172),rewrite(16012(5),2876(3),2286(3)),flip(a)]. 16124 (x \ y) \ (y \ (x * y)) = y \ ((x / y) * (x * y)). [back_rewrite(12676),rewrite(16012(4)),flip(a)]. 16135 (x * y) \ (y \ x) = y \ (x \ (y \ x)). [back_rewrite(11082),rewrite(16012(4),277(2),1055(3),847(3)),flip(a)]. 16145 i(x) * ((x \ y) \ y) = x \ ((x \ y) \ y). [back_rewrite(8824),rewrite(16012(5),3328(3),1055(2)),flip(a)]. 16162 (x \ y) / (y * x) = x \ (y / (y * x)). [back_rewrite(5858),rewrite(16012(4),594(3)),flip(a)]. 16166 (x \ y) \ (y \ (x \ y)) = y \ ((x / y) * (x \ y)). [back_rewrite(5063),rewrite(16012(4)),flip(a)]. 16168 (i(x) * y) \ (y \ (x * y)) = y \ ((y / x) \ (x * y)). [back_rewrite(4703),rewrite(16012(6),5(2),9797(3)),flip(a)]. 16176 x \ ((y / x) * (y \ x)) = x \ (y * (x \ (y \ x))). [back_rewrite(2625),rewrite(16012(6),5(2),16166(8)),flip(a)]. 16179 x \ (x / ((y \ x) / y)) = (x / y) \ y. [back_rewrite(2280),rewrite(16012(5),2038(3),9836(3))]. 16185 ((i(x) * y) * z) * x = x \ (y * (z * x)). [back_rewrite(524),rewrite(16012(5),5(2)),flip(a)]. 16249 ((x / y) / y) * x = (x / y) * (y \ x). [back_rewrite(16019),rewrite(16097(4),3(5))]. 16288 (x \ y) * (i(x) \ y) = x \ (y * (x * y)). [back_rewrite(13092),rewrite(16121(7))]. 16292 i(x) * (y * (x * y)) = x \ (y * (x * y)). [back_rewrite(11183),rewrite(16121(7))]. 16304 (i(x) * y) \ ((x \ y) \ y) = y \ ((x / y) * (x * y)). [back_rewrite(11588),rewrite(16124(9))]. 16312 i(x) \ ((x \ y) \ y) = (x / (x \ y)) * y. [back_rewrite(15857),rewrite(16135(5),796(4))]. 16396 (x * y) \ (x / ((x * y) / x)) = y \ (x / (x * y)). [back_rewrite(5883),rewrite(16162(8))]. 16445 (x * ((y / z) \ z)) * (z \ (y * (z \ (y \ z)))) = (x * i(z)) * ((y / z) \ z). [back_rewrite(6030),rewrite(16166(7),16176(7))]. 16463 (i(x) * y) * (x \ (y * x)) = x \ ((x / y) \ (y * x)). [back_rewrite(2245),rewrite(16168(10))]. 16477 (x \ y) \ (y \ (x \ y)) = y \ (x * (y \ (x \ y))). [back_rewrite(16166),rewrite(16176(8))]. 16587 (x \ (y * i(z))) \ (y * i(z)) = ((z / y) * x) / (z / y). [para(1106(a,1),275(a,1,1)),rewrite(203(2),1055(6),203(11),203(10),203(9),634(11))]. 16765 x * ((x \ y) \ z) = (y / x) \ (x * z). [para(3(a,1),241(a,1,2,2)),flip(a)]. 16783 (x \ (x / y)) \ ((y * x) * (((y * x) \ x) * z)) = (y * x) * z. [para(1171(a,1),241(a,1,1))]. 16786 (x * y) \ ((y * x) * (((y * x) \ x) * z)) = (x \ (x / y)) * z. [para(1378(a,1),241(a,1,1)),rewrite(3326(6),3439(6),1160(6))]. 16809 (x / y) \ (y * (((y \ x) * z) * (y * ((y \ x) * z)))) = (y * z) * (y * ((y \ x) * z)). [para(241(a,1),3438(a,1,1)),rewrite(3709(13)),flip(a)]. 16853 ((x / y) \ ((y * z) \ (y * i(x)))) \ (y * z) = y * (((y \ x) * z) * (y * ((y \ x) * z))). [para(241(a,1),4075(a,1,2)),rewrite(202(5),271(5),3709(15))]. 16855 (x / y) \ (y * ((y \ x) / (z * z))) = y / (z * z). [para(4284(a,1),241(a,1,2,2)),rewrite(4284(9))]. 16860 x \ ((x * y) * (x * z)) = (i(y) \ x) * z. [para(4506(a,1),241(a,1,1)),rewrite(7315(7),12064(8))]. 16868 ((x * y) / x) \ (y * (((y \ x) / y) * z)) = (x / (y * y)) * z. [para(5483(a,1),241(a,1,2,2,1)),rewrite(364(5),203(4),4299(4),1753(4),5829(6))]. 16888 (x \ (y / ((x \ y) / x))) * z = (x \ y) * ((y / x) \ (x * z)). [back_rewrite(12206),rewrite(16765(9))]. 16916 ((x \ (x / y)) \ z) \ (x \ (i(x) \ y)) = i(z). [para(926(a,1),303(a,1,1,1)),rewrite(300(5),1268(6))]. 16922 (x * (y * i(z))) \ (y * i(z)) = ((z / y) / x) / (z / y). [para(610(a,1),303(a,1,1)),rewrite(203(2),203(11),202(10),203(9),2605(11))]. 16930 (x \ (y \ i(z))) \ i(u) = ((z * y) * x) / u. [para(8(a,1),306(a,2,1)),rewrite(202(4),1468(5),5(2))]. 16931 (x \ i(y)) \ (z \ i(u)) = (y * x) / (u * z). [para(202(a,1),306(a,1,2))]. 16935 (x \ i(y)) \ (z * i(u)) = (y * x) / (u / z). [para(203(a,1),306(a,1,2))]. 16937 (x \ (i(y) * z)) \ i(u) = ((z \ y) * x) / u. [para(300(a,1),306(a,1,1,2))]. 16938 (x \ i(y)) \ (i(z) * u) = (y * x) / (u \ z). [para(300(a,1),306(a,1,2))]. 16940 (x / (x * y)) \ i(z) = (x / (x / y)) / z. [para(317(a,1),306(a,2,1)),rewrite(202(3),307(4))]. 16941 ((x / y) / x) \ i(z) = ((x * y) / x) / z. [para(319(a,1),306(a,2,1)),rewrite(309(4))]. 16944 ((x * y) \ y) \ i(z) = ((x \ y) \ y) / z. [para(1055(a,1),306(a,2,1)),rewrite(300(2),891(3))]. 16945 (x \ (i(x) \ y)) / z = (x \ (x / y)) \ i(z). [para(1133(a,1),306(a,1,1)),rewrite(277(3),1172(4),274(3),1268(7)),flip(a)]. 16946 ((x \ y) / x) \ i(z) = ((y / x) \ x) / z. [para(1146(a,1),306(a,2,1)),rewrite(203(2),2218(3))]. 16948 (x / (y * y)) \ i(z) = (y / (x / y)) / z. [para(1732(a,1),306(a,2,1)),rewrite(3462(3))]. 16949 (x / y) \ (z \ i(y)) = y / (y * (z * x)). [para(306(a,1),495(a,2,1)),rewrite(188(2),319(5),496(4),277(3),494(8))]. 16951 ((x * y) / x) \ i(z) = ((x / y) / x) / z. [para(630(a,1),306(a,2,1)),rewrite(306(4))]. 16954 ((x * x) \ y) \ i(z) = (y \ (x * x)) / z. [para(3438(a,1),306(a,2,1)),rewrite(300(2),4970(3))]. 16955 ((x \ y) \ y) \ i(z) = ((x * y) \ y) / z. [para(916(a,1),306(a,2,1)),rewrite(188(3))]. 16958 ((x / y) \ y) \ i(z) = ((y \ x) / y) / z. [para(2266(a,1),306(a,2,1)),rewrite(188(3))]. 16963 (x / (y / x)) \ i(z) = (y / (x * x)) / z. [para(3500(a,1),306(a,2,1)),rewrite(203(3),4297(4),4299(3))]. 16974 (x * (y \ i(z))) / u = ((z * y) / x) \ i(u). [para(306(a,1),306(a,1,1)),flip(a)]. 17001 x * ((y / x) * (x \ ((x / (x * y)) \ ((y / x) \ i(z))))) = (x / (x / y)) / z. [back_rewrite(13498),rewrite(16940(14))]. 17002 x * (x * ((y / (y / z)) / z)) = x / ((z * (y / (y * z))) / x). [back_rewrite(11690),rewrite(16940(4))]. 17100 ((x * ((x \ y) * z)) * (y / x)) \ (y / x) = x / (x * (z * y)). [back_rewrite(4825),rewrite(16949(11))]. 17181 i(x) \ (y \ (z \ i(u))) = x / ((u * z) * y). [para(8(a,1),307(a,2,2)),rewrite(202(5),1468(6),5(3))]. 17184 i(x) \ (y \ (z * i(u))) = x / ((u / z) * y). [para(203(a,1),307(a,1,2,2))]. 17187 (i(x) * y) \ (z \ i(u)) = (y \ x) / (u * z). [para(300(a,1),307(a,1,1))]. 17188 i(x) \ (y \ (i(z) * u)) = x / ((u \ z) * y). [para(300(a,1),307(a,1,2,2))]. 17190 i(x) \ (y / (y * z)) = x / (y / (y / z)). [para(317(a,1),307(a,2,2)),rewrite(202(4),307(5))]. 17191 i(x) \ ((y / z) / y) = x / ((y * z) / y). [para(319(a,1),307(a,2,2)),rewrite(309(5))]. 17194 i(x) \ ((y * z) \ z) = x / ((y \ z) \ z). [para(1055(a,1),307(a,2,2)),rewrite(300(3),891(4))]. 17195 x / (y \ (i(y) \ z)) = i(x) \ (y \ (y / z)). [para(1133(a,1),307(a,1,2)),rewrite(277(4),1172(5),274(4),1268(7)),flip(a)]. 17198 i(x) \ (y / (z * z)) = x / (z / (y / z)). [para(1732(a,1),307(a,2,2)),rewrite(3462(4))]. 17204 i(x) \ ((y \ z) \ z) = x / ((y * z) \ z). [para(916(a,1),307(a,2,2)),rewrite(188(4))]. 17205 i(x) \ ((y / z) \ z) = x / ((z \ y) / z). [para(2266(a,1),307(a,2,2)),rewrite(188(4))]. 17206 i(x) \ (y / (y \ z)) = x / (y \ (z / y)). [para(2576(a,1),307(a,2,2)),rewrite(300(4),2270(5),2272(4))]. 17217 i(x) \ (y \ (z * z)) = x / ((z * z) \ y). [para(5014(a,1),307(a,2,2)),rewrite(300(4),188(3))]. 17220 x / (y * (z \ i(u))) = i(x) \ ((u * z) / y). [para(306(a,1),307(a,1,2)),flip(a)]. 17222 x * (y \ (y \ i(x))) = x / ((x * y) * y). [back_rewrite(11230),rewrite(17181(5)),flip(a)]. 17283 x * ((x * y) \ y) = x / ((x \ y) \ y). [back_rewrite(9630),rewrite(17194(4)),flip(a)]. 17313 (x * i(y)) \ (x \ (x / y)) = y / (y * x). [back_rewrite(2513),rewrite(17195(5),203(2))]. 17324 (x / (x \ y)) * y = x / ((x * y) \ y). [back_rewrite(16312),rewrite(17204(4)),flip(a)]. 17325 (x \ i(y)) \ ((z * x) / y) = (y * ((x * z) * x)) / y. [back_rewrite(12495),rewrite(17220(5),202(2))]. 17329 (i(x) \ (x / y)) \ i(y) = y / ((y * x) * x). [back_rewrite(9896),rewrite(17222(9))]. 17409 i(x) * ((x / y) * (x / ((x \ z) \ z))) = y \ ((x / z) * (i(x) * z)). [back_rewrite(9775),rewrite(17283(5))]. 17410 i(x) * ((i(x) \ y) * (z / ((z \ x) \ x))) = y * (z / ((z \ x) \ x)). [back_rewrite(9768),rewrite(17283(6),17283(11))]. 17440 (i(x) \ y) / (((x \ y) \ y) \ y) = x / ((x * y) \ y). [back_rewrite(15957),rewrite(17324(9))]. 17453 (x * i(y)) \ (z * i(u)) = (y / x) / (u / z). [para(203(a,1),309(a,1,2))]. 17456 (x * i(y)) \ (i(z) * u) = (y / x) / (u \ z). [para(300(a,1),309(a,1,2))]. 17457 (x \ (i(x) \ y)) \ i(z) = (x \ (x / y)) / z. [para(926(a,1),309(a,2,1)),rewrite(300(2),1268(3))]. 17470 (x / (y / (y \ x))) \ i(z) = (y / x) / (z / (y / x)). [para(309(a,1),5023(a,1,2)),rewrite(202(3),274(3),1732(4),3709(9),2577(8),13350(7)),flip(a)]. 17488 (x \ (y * x)) * z = x \ (y * (x * z)). [para(242(a,1),4(a,1,2)),flip(a)]. 17495 (x \ i(y)) * ((y * x) * z) = (y * x) * ((x \ i(y)) * z). [para(211(a,1),242(a,1,2,1,2)),rewrite(24(6),300(5),188(4))]. 17498 (i(x) * y) * ((y \ x) * z) = (y \ x) * ((i(x) * y) * z). [para(370(a,1),242(a,1,2,1,2)),rewrite(24(4),300(3)),flip(a)]. 17547 i(x) * ((y * i(x)) * z) = (x \ y) * (i(x) * z). [para(2576(a,1),242(a,1,2,1,2)),rewrite(1172(5),493(4),610(4))]. 17562 x \ ((y * x) * (((y * x) \ x) * (x * z))) = i(y) * ((i(y) \ x) * z). [para(3061(a,1),242(a,1,2,1,2)),rewrite(3326(5),3431(5),17488(6),16012(7),926(2),1160(6),3133(13))]. 17584 x * ((y \ (y / x)) \ (y * z)) = y * ((y \ (x * (x * y))) * z). [para(4352(a,1),242(a,1,2)),rewrite(16012(5),5(2),300(8),202(7),1055(8),847(8),16765(9),926(7)),flip(a)]. 17586 (x * x) \ ((x / (x / y)) * z) = x \ (y * (i(x) * z)). [para(242(a,1),4970(a,1,2)),rewrite(310(9)),flip(a)]. 18959 x \ (y * (x \ (x / y))) = y \ (y / x). [back_rewrite(7648),rewrite(17488(6),1268(4),274(3))]. 19401 (x \ y) * (y * ((x \ y) \ z)) = x \ (y * (x * z)). [back_rewrite(1427),rewrite(17488(8))]. 19407 x \ ((y * x) * (y \ x)) = x \ (y * (x / (x \ y))). [back_rewrite(714),rewrite(17488(4),1602(2)),flip(a)]. 19409 x * ((x \ i(y)) * ((y \ i(x)) \ z)) = y \ (x * (y * z)). [back_rewrite(365),rewrite(17488(10))]. 19695 (x \ y) \ (y / (y \ x)) = y \ (x * (y / (y \ x))). [back_rewrite(1944),rewrite(19407(8))]. 19698 (x * i(y)) * (y / (y / z)) = (x * z) * i(y). [para(310(a,1),8(a,1,2))]. 19699 i(x) \ (y * (z \ i(u))) = x / ((u * z) / y). [para(202(a,1),310(a,1,2,2))]. 19704 i(x) \ (y * (i(z) * u)) = x / ((u \ z) / y). [para(300(a,1),310(a,1,2,2))]. 19720 (x * y) / ((x * y) / z) = x / ((x * y) / (y * z)). [back_rewrite(713),rewrite(19699(6)),flip(a)]. 19762 ((x \ (y * z)) * u) * (z \ i(y)) = i(x) * (y / ((y * z) / (z * u))). [back_rewrite(15662),rewrite(19720(11))]. 19835 (i(x) * i(y)) \ (y / (y * x)) = y / ((y * x) / (x * y)). [back_rewrite(4961),rewrite(19720(10))]. 19843 (i(x) \ y) / (x / (x / y)) = x / ((x * y) / (y * x)). [back_rewrite(4445),rewrite(19720(9))]. 19865 (x \ (y \ i(z))) / u = ((z * y) * x) \ i(u). [para(8(a,1),362(a,2,1)),rewrite(202(4),1468(5),5(2))]. 19867 (x \ (y * i(z))) / u = ((z / y) * x) \ i(u). [para(203(a,1),362(a,1,1,2))]. 19868 (x * (y * (x \ z))) \ i(u) = (z \ ((x / y) / x)) / u. [para(40(a,1),362(a,2,1)),rewrite(203(3),202(2),630(3)),flip(a)]. 19869 (x \ (i(y) * z)) / u = ((z \ y) * x) \ i(u). [para(300(a,1),362(a,1,1,2))]. 19870 x \ (y \ (x * i(z))) = (x \ (y \ x)) / z. [para(196(a,1),362(a,2,1)),rewrite(202(3),188(2),1218(7)),flip(a)]. 19977 (x / (y / (y \ x))) / z = (x / y) / (z / (x / y)). [para(364(a,1),3932(a,2)),rewrite(3709(5),2577(4),13350(3),427(8),300(9),203(7),13246(10),17470(9))]. 20076 (x / y) * (i(x) * y) = (y / x) \ (x \ y). [para(1091(a,1),243(a,1,2,1)),rewrite(5798(8),16093(9),6(7))]. 20079 (x / (x / y)) * (x / (y / x)) = (((x * y) / (y * x)) / x) \ x. [para(1733(a,1),243(a,1,2,1)),rewrite(1732(4),19843(10),1146(10))]. 20082 ((x / y) \ ((y \ x) / y)) * y = (y / (y \ x)) * ((y * y) \ x). [para(2180(a,1),243(a,1,2,1)),rewrite(5023(5),16045(10)),flip(a)]. 20087 (x \ (i(y) * (z / x))) \ (z / x) = (z / x) \ (y * ((x * z) / x)). [para(243(a,1),2284(a,1,2,1)),rewrite(50(6),1732(4),1753(5),202(9),300(8)),flip(a)]. 20088 ((x / y) \ (z * ((y * x) / y))) \ ((((x / y) \ z) * y) * ((z / (x / y)) * x)) = ((x / y) \ z) * y. [para(243(a,1),2285(a,1,2,2)),rewrite(202(4),300(3),20087(6))]. 20089 ((x / y) \ (z * ((y * x) / y))) * (((x / y) \ z) * y) = (((x / y) \ z) * y) * ((z / (x / y)) * x). [para(243(a,1),2286(a,2,2)),rewrite(202(4),300(3),20087(6))]. 20107 i(x) * ((x / y) * (x / ((x \ z) \ z))) = y \ ((z / x) \ (x \ z)). [back_rewrite(17409),rewrite(20076(11))]. 20109 i(x) * ((y / x) \ (x \ y)) = (x * y) \ y. [back_rewrite(918),rewrite(20076(5))]. 20143 ((x / y) \ (z \ (y * i(x)))) \ z = (y * i(x)) \ (z * ((x / y) * z)). [para(369(a,1),5101(a,1,2)),rewrite(300(4),5973(6),426(5),203(2),6681(5),305(6),202(5),202(4),203(3),16012(13),427(11),2286(12))]. 20144 (x * i(y)) \ ((x * z) * (x * ((x \ y) * z))) = x * (((x \ y) * z) * (x * ((x \ y) * z))). [back_rewrite(16853),rewrite(20143(8),39(6))]. 20194 (i(x) * y) \ (z \ (i(x) * y)) = (y \ x) / ((y \ x) * z). [para(372(a,1),786(a,1,1,2)),rewrite(364(5),300(4),855(5),300(6)),flip(a)]. 20274 x * ((x * x) * (((x * (x * x)) \ y) * (x \ (z * x)))) = (y / (x * (x * x))) * (x * ((x * z) * x)). [para(817(a,1),246(a,1,1)),rewrite(817(4),11163(9),817(11),6052(15))]. 20353 (x / (x * y)) * ((x * z) * (y * y)) = (x * (y * y)) * ((z \ (y * (y * y))) \ (y * y)). [para(2031(a,1),246(a,1,2,1)),rewrite(12579(7),12598(8),277(4),426(5),4297(5),817(4),1348(12),35(10),26(11),494(11)),flip(a)]. 20392 (x * i(y)) * ((y * z) * y) = i(y) \ ((y \ x) * (z * y)). [para(3839(a,1),246(a,2,1)),rewrite(877(4),1055(3),16012(7),926(4),37(3),1490(6)),flip(a)]. 20403 i(x) \ ((x \ (y / x)) * (z * x)) = (y / (x * x)) * ((x * z) * x). [para(246(a,1),4297(a,2)),rewrite(15488(7))]. 20452 ((x * i(y)) * z) \ i(u) = (z \ (y / x)) / u. [para(203(a,1),374(a,1,1,1))]. 20453 ((i(x) * y) * z) \ i(u) = (z \ (y \ x)) / u. [para(300(a,1),374(a,1,1,1))]. 20454 (i(x) * y) \ (i(z) * u) = (y \ x) / (u \ z). [para(300(a,1),374(a,1,2))]. 20480 i(x) \ ((y \ i(z)) * u) = x / (u \ (z * y)). [para(202(a,1),375(a,1,2,1))]. 20481 i(x) \ ((y * i(z)) * u) = x / (u \ (z / y)). [para(203(a,1),375(a,1,2,1))]. 20493 (x / (y \ z)) / (z \ ((z / y) \ y)) = i(x) \ (y \ z). [para(375(a,1),4074(a,1,1)),rewrite(3709(7),664(6),10022(6),202(10),188(9))]. 20501 ((x \ i(y)) * z) / u = (z \ (y * x)) \ i(u). [para(202(a,1),376(a,1,1,1))]. 20502 ((x * i(y)) * z) / u = (z \ (y / x)) \ i(u). [para(203(a,1),376(a,1,1,1))]. 20552 (((x \ i(y)) * z) \ u) \ (z \ (y * x)) = i(u). [para(202(a,1),377(a,1,1,1,1))]. 20941 (x * (y * z)) * (z \ i(y)) = (y * z) * ((z \ i(y)) * x). [para(1378(a,1),397(a,1,2)),rewrite(17495(5),300(10),203(8),202(7),432(10)),flip(a)]. 20960 x * ((y * x) / z) = (x * y) / (z / x). [para(397(a,1),241(a,1,2,2)),rewrite(277(2),16935(5)),flip(a)]. 20970 (x * (y \ i(z))) * (z * y) = (z * y) * ((y \ i(z)) * x). [back_rewrite(432),rewrite(20941(10))]. 21062 (x * (y \ z)) * (i(z) * y) = (y \ z) * ((i(z) * y) * x). [para(1378(a,1),401(a,1,2)),rewrite(17498(5),300(10),203(8),300(7),463(10)),flip(a)]. 21107 x / (y \ (z \ i(u))) = i(x) \ ((u * z) * y). [para(8(a,1),426(a,2,2)),rewrite(202(4),1468(5),5(2))]. 21112 x / (y \ (i(z) * u)) = i(x) \ ((u \ z) * y). [para(300(a,1),426(a,1,2,2))]. 21502 ((x / y) / z) \ (x / z) = (z * y) / z. [para(427(a,1),42(a,1)),rewrite(202(4),309(4))]. 21513 x / ((y \ i(z)) * u) = i(x) \ (u \ (z * y)). [para(202(a,1),429(a,1,2,1))]. 21514 x / ((y * i(z)) * u) = i(x) \ (u \ (z / y)). [para(203(a,1),429(a,1,2,1))]. 21516 x / ((i(y) * z) * u) = i(x) \ (u \ (z \ y)). [para(300(a,1),429(a,1,2,1))]. 21566 ((i(x) * y) \ x) * (x \ (x \ y)) = 1. [para(2123(a,1),641(a,1,1,1)),rewrite(3438(6),3371(7),6(5))]. 21734 (x \ y) * ((y \ (x * (x * y))) * z) = x * ((x \ y) * (((x * y) \ y) \ z)). [para(4352(a,1),269(a,1,2)),rewrite(16012(6),37(4),15876(4),300(10),916(10))]. 21746 x * (y * ((y \ i(x)) * (x \ z))) = y * ((y \ i(x)) * z). [para(306(a,1),269(a,1,2,1)),rewrite(40(5),363(6),363(5))]. 21766 (i(x) * y) \ (y \ ((y / x) \ x)) = (x \ ((x / y) \ y)) \ (y \ x). [para(374(a,1),825(a,2,2)),rewrite(3709(5),664(4),10022(4),202(6),188(5),429(11),300(9),10030(11)),flip(a)]. 21876 (x \ y) * ((y \ x) / y) = x \ (x / y). [para(24(a,1),270(a,1,2,1)),rewrite(300(3),3445(5),26(7),300(6),1289(8),274(7))]. 21886 (i(x) * y) \ (y / (z / (y \ x))) = (y \ (x * x)) / z. [para(270(a,1),494(a,2,2)),rewrite(364(6),300(5),300(8),520(9),477(7),3438(2),3(6),427(9),300(5)),flip(a)]. 21889 (x / y) * (y \ (i(y) \ z)) = y * ((y \ x) * (i(y) * z)). [para(962(a,1),270(a,1,1)),rewrite(962(4),300(3),962(9),300(9),203(8),1282(9)),flip(a)]. 21928 ((x * y) / (x / (x / y))) * x = x * (y / (y / x)). [para(2285(a,1),270(a,1,2,1)),rewrite(2868(5),317(3),2877(8),188(9)),flip(a)]. 21931 i(x) * ((i(x) \ y) * (z \ i(x))) = (i(y) \ x) * ((z * x) \ i(x)). [para(2456(a,1),270(a,1,1)),rewrite(2456(5),202(5),2456(11),305(9),202(12))]. 22013 (x * y) * (x / (x / y)) = (x * ((y * x) * y)) / x. [para(196(a,1),1124(a,1,2)),rewrite(188(2),310(5),188(6),202(6),188(8),17325(9))]. 22022 (x / y) * (x / (x * y)) = (y / x) \ (x / (x * y)). [para(594(a,1),1124(a,1,2)),rewrite(203(6),4442(9))]. 22039 x \ ((y / x) * (x / y)) = y \ (y / x). [para(3645(a,1),1124(a,2,2)),rewrite(300(5),2266(5),21876(5),16012(4),300(6),1133(8),277(7),1172(8),274(7))]. 22052 (i(x) \ (x / y)) \ i(z) = ((y / x) / x) / z. [para(1124(a,1),362(a,2,1)),rewrite(309(4)),flip(a)]. 22057 i(x) \ (i(y) \ (y / z)) = x / ((z / y) / y). [para(1124(a,1),426(a,2,2)),rewrite(309(4)),flip(a)]. 22073 ((x / y) / y) / x = x / ((x * y) * y). [back_rewrite(17329),rewrite(22052(5))]. 22074 (x * y) / (x / y) = x / ((x / y) / y). [back_rewrite(15939),rewrite(22057(5)),flip(a)]. 22107 (x / y) / (y / ((y / x) / x)) = i(x) * i(y). [back_rewrite(15925),rewrite(22074(4))]. 22135 ((x * y) * y) / x = x / ((x / y) / y). [back_rewrite(15831),rewrite(22074(6))]. 22142 (x \ y) / (y \ (x * y)) = x \ (x \ y). [para(1172(a,1),930(a,1,2,2)),rewrite(13062(6),188(6))]. 22164 (x \ (i(x) \ y)) \ (x * i(y)) = y \ (x / y). [para(566(a,1),1188(a,1,2)),rewrite(203(5),2576(5),3326(5),5794(6),203(9),2576(9))]. 22173 x \ (x / (y / (y \ x))) = y \ (x / y). [para(1188(a,1),4074(a,1,1)),rewrite(13345(4),277(5),203(4),13309(4),203(9),22164(10))]. 22196 ((x \ y) * z) \ ((y \ x) \ x) = (z \ y) / (x \ y). [para(212(a,1),271(a,1,1,1)),rewrite(300(4),20454(5),188(8),1055(7)),flip(a)]. 22197 (x \ y) / (z \ y) = ((y / z) * x) \ y. [para(274(a,1),271(a,1,1,1)),rewrite(188(4),188(8),20454(8)),flip(a)]. 22202 (x \ (y * x)) \ ((i(x) * y) * i(z)) = (((i(x) * y) \ z) * x) \ (y \ x). [para(196(a,1),271(a,2,1)),rewrite(202(7),188(6)),flip(a)]. 22209 (i(x) * y) \ (x \ (x / z)) = x \ (x / (z * (x \ y))). [para(493(a,1),271(a,1,1,1)),rewrite(40(3),188(5),1133(4),203(9),1314(10),274(9)),flip(a)]. 22213 (x * y) \ (x / ((x * z) / x)) = ((z / x) * y) \ i(x). [para(845(a,1),271(a,1,1,1)),rewrite(203(8),594(8),1732(8)),flip(a)]. 22244 x \ (x / ((y / x) / y)) = (y * x) / y. [para(892(a,1),271(a,2)),rewrite(14807(6),305(3),674(4),17191(4),188(5),38(4),1268(9),274(8),22209(8),630(5)),flip(a)]. 22267 ((x * (y * y)) * z) \ ((x * (y * y)) / (i(x) \ y)) = (z \ y) / (x * (y * y)). [para(2031(a,1),271(a,1,1,1)),rewrite(202(5),17187(6),202(11),5364(12)),flip(a)]. 22275 (i(x) * y) \ (x \ (x \ z)) = (((z / x) \ x) * y) \ x. [para(2253(a,1),271(a,1,1,1)),rewrite(188(5),300(9),4007(10)),flip(a)]. 22280 (x \ y) / (z * (y * y)) = (((y * z) * y) * x) \ y. [para(2270(a,1),271(a,1,1,1)),rewrite(188(5),202(9),5023(10),17187(10)),flip(a)]. 22284 ((x * y) \ (x * i(z))) \ x = x * (((x \ z) * y) * x). [para(271(a,1),2278(a,1,1))]. 22322 (x \ y) \ (x \ (x / y)) = (y \ x) / y. [para(271(a,1),4970(a,2)),rewrite(300(3),1289(5),274(4),3(6),2218(7))]. 22329 ((x / (y * y)) * z) \ ((x / y) / x) = (y * z) \ (y / (x / y)). [para(5483(a,1),271(a,1,1,1)),rewrite(203(4),4299(4),202(12),274(12),4400(11)),flip(a)]. 22344 (x / (y \ z)) / y = (x / y) / (z / y). [para(271(a,1),309(a,1)),rewrite(17453(5)),flip(a)]. 22369 (x \ (i(y) * z)) \ ((z * x) \ (z * i(y))) = ((z \ y) * x) \ (((z \ y) * x) / z). [para(271(a,1),1172(a,1,2)),rewrite(202(3),300(2),202(13),300(12),16937(15))]. 22376 ((x \ y) * z) \ ((y \ x) \ x) = ((y / x) * z) \ y. [back_rewrite(22196),rewrite(22197(8))]. 22389 x / ((x * y) \ y) = (y / x) \ (x * y). [back_rewrite(17440),rewrite(22197(6),37(3),2576(3),11732(3)),flip(a)]. 22400 (x * (x * x)) \ y = x \ ((x * x) \ y). [back_rewrite(13017),rewrite(22197(5),37(2))]. 22408 ((x / y) * (y \ x)) \ x = (i(y) * x) \ y. [back_rewrite(2274),rewrite(22197(4))]. 22410 ((x \ y) / x) / y = x \ (y / (y * x)). [back_rewrite(16396),rewrite(22213(5),1146(2),16958(4))]. 22421 ((x * (y * y)) * z) \ ((x * (y * y)) / (i(x) \ y)) = (((y * x) * y) * z) \ y. [back_rewrite(22267),rewrite(22280(13))]. 22454 (x / (x \ y)) * y = (y / x) \ (x * y). [back_rewrite(17324),rewrite(22389(6))]. 22456 (x / (y * (y * y))) * (y * ((y * z) * y)) = y * ((y \ (x / (y * y))) * ((y * z) * y)). [back_rewrite(20274),rewrite(22400(4),16012(7),8346(4),1490(8),20403(7),4455(3)),flip(a)]. 22478 ((x * (y * x)) * i(y)) \ x = y / (y * x). [para(1191(a,1),847(a,1,1)),rewrite(188(5),277(5),22275(7),277(2),2278(3),188(7),277(7),188(10),277(10),4947(13),3(8),307(9))]. 22522 (x * y) * ((y \ i(x)) * z) = (x * y) \ ((y \ i(x)) \ z). [para(1268(a,1),8(a,2)),rewrite(202(2),202(6),202(9),8(13),202(8))]. 22527 (x \ y) * ((i(y) * x) * z) = (x \ y) \ ((i(y) * x) \ z). [para(300(a,1),1268(a,1,2,1)),rewrite(300(8))]. 22541 (x * (y \ i(z))) * (z * y) = (z * y) \ ((y \ i(z)) \ x). [back_rewrite(20970),rewrite(22522(10))]. 22550 (x \ i(y)) * ((y * x) * z) = (y * x) \ ((x \ i(y)) \ z). [back_rewrite(17495),rewrite(22522(10))]. 22582 (x * (y \ z)) * (i(z) * y) = (y \ z) \ ((i(z) * y) \ x). [back_rewrite(21062),rewrite(22527(10))]. 22608 (x * y) * (i(y) * z) = i(y) * ((y * x) * z). [para(1274(a,1),269(a,1,1)),rewrite(1274(6),1172(6),2019(5),4(4),1274(10)),flip(a)]. 22628 (x * (y / ((y * y) * z))) * y = (x * y) * (i(z) * i(y)). [para(1278(a,1),51(a,2,2)),rewrite(4480(3))]. 22660 (x / ((y \ x) \ z)) * (i(x) * y) = (y \ x) \ ((y \ (x * x)) / z). [para(270(a,1),1278(a,1,2,2)),rewrite(427(7),300(3),21886(7),202(10),300(9),375(10),300(10)),flip(a)]. 22892 (x * (y * y)) / (i(x) \ y) = x / (x / y). [para(1289(a,1),594(a,2,2)),rewrite(305(3),202(2),3326(3),3420(3),202(4),5364(5),17195(10),202(7),5448(10))]. 22908 ((x * (y * y)) * z) \ (x / (x / y)) = (((y * x) * y) * z) \ y. [back_rewrite(22421),rewrite(22892(8))]. 22917 (x * i(y)) * (y * z) = y * ((i(y) * x) * z). [para(1313(a,1),39(a,2,2,1)),rewrite(16945(4),212(4),203(2))]. 22931 (x \ (y \ z)) / z = (z * x) \ (z / y). [para(1313(a,1),271(a,1,1,1)),rewrite(20453(5),300(8),300(7),1282(8),274(7),3(7))]. 22937 x * ((i(x) * i(y)) * (x * y)) = (x \ y) \ y. [back_rewrite(5690),rewrite(22917(6))]. 22990 ((x / y) \ (x / z)) \ x = z * (y \ x). [para(276(a,1),5(a,1,1)),rewrite(305(6),202(5),202(4),274(4))]. 22994 x / (y * (z \ x)) = (x / z) \ (x / y). [para(276(a,1),202(a,1,1)),rewrite(202(5),202(4),274(4),202(7),307(8)),flip(a)]. 23027 (x / (y \ z)) \ y = y \ (z * (x \ y)). [para(276(a,1),786(a,1,1,2)),rewrite(17547(6),304(4),305(5),202(4),300(3),375(4),188(5))]. 23032 (x * (y \ z)) \ z = z \ (y / (z \ x)). [para(276(a,1),837(a,1,2,2)),rewrite(17547(7),304(5),427(5),188(2),188(7)),flip(a)]. 23043 (x * i(y)) * (y / ((y / z) / y)) = (x * (i(y) \ z)) * i(y). [para(1106(a,1),276(a,1,1,2)),flip(a)]. 23126 x \ (y / (x \ (x / y))) = (i(y) * x) \ y. [back_rewrite(22408),rewrite(23032(4))]. 23137 ((x * y) * x) * i(y) = (x * y) / (y / x). [back_rewrite(6196),rewrite(23043(6),1602(3),426(3),2270(3))]. 23179 (x \ (x / y)) * (i(x) * z) = i(x) * ((x / (x * y)) * z). [para(1382(a,1),269(a,1,1)),rewrite(1382(6),307(5),1382(12)),flip(a)]. 23189 (x \ (x / y)) * (y / x) = y \ (y / x). [para(1391(a,1),1131(a,1,1,2)),rewrite(5466(6),3(5))]. 23197 (x / y) / ((x \ y) / x) = (y / x) \ (x / (x \ y)). [para(2262(a,1),1391(a,1,1,2)),rewrite(494(4),3(2),203(6),203(9),300(8),664(9),13245(9),13259(8))]. 23243 (x \ (y * x)) \ z = x \ (y \ (x * z)). [para(278(a,1),202(a,1,1)),rewrite(202(5),188(4),202(7),300(6),188(5))]. 23291 (i(x) * y) * (x \ (z * x)) = ((x \ (y / x)) * z) * x. [para(2278(a,1),278(a,1,1,1)),rewrite(2577(4),188(6),300(6)),flip(a)]. 23331 i(x) * (y \ ((y * x) * (y \ (z * y)))) = (x * ((x \ i(y)) * z)) * y. [para(269(a,1),278(a,1,1)),rewrite(306(10),40(9),1223(10)),flip(a)]. 23366 x \ (y \ (x * ((i(x) * y) * i(z)))) = (((i(x) * y) \ z) * x) \ (y \ x). [back_rewrite(22202),rewrite(23243(7))]. 23483 x \ (((x \ y) \ y) * x) = x \ (y \ ((x * y) * x)). [back_rewrite(7318),rewrite(23243(5),1602(3),426(3),2270(3)),flip(a)]. 23543 ((x \ (y / x)) * y) * x = x \ ((x / y) \ (y * x)). [back_rewrite(16463),rewrite(23291(5))]. 23636 (((x \ y) \ y) \ x) * y = y \ (x \ ((y * x) * y)). [back_rewrite(7316),rewrite(23483(8))]. 23637 (i(x) \ y) \ ((y * x) * y) = y \ (x \ ((y * x) * y)). [back_rewrite(7315),rewrite(23483(9))]. 23645 (x * y) \ (y * (x * y)) = y \ (x \ ((y * x) * y)). [back_rewrite(7271),rewrite(23483(8))]. 23650 (x * ((y * z) / y)) * (y * i(z)) = (x * (i(z) * y)) * (y \ (z * y)). [para(1582(a,1),8(a,1,2,2)),rewrite(3326(8),3437(8),3316(7),1189(13)),flip(a)]. 23659 (x / (x \ y)) * (x \ (i(x) \ y)) = x * (y \ (x * y)). [para(1582(a,1),47(a,1,1)),rewrite(1260(6),2272(6)),flip(a)]. 23669 (i(x) \ y) * (((i(x) \ y) \ z) * ((y * (x \ (i(x) \ y))) \ (x \ (i(x) \ y)))) = (z / (i(x) \ y)) * x. [para(1582(a,1),246(a,2,2)),rewrite(3(4),3(6),891(14),3(19))]. 23853 ((x * y) * (y \ i(z))) \ y = y \ (((y * z) / x) * y). [para(279(a,1),891(a,2,1)),rewrite(202(4),306(4)),flip(a)]. 23867 (x * (y * (z \ i(x)))) * x = x / ((z * x) / (y * x)). [para(279(a,1),2270(a,1,2)),rewrite(19699(6)),flip(a)]. 23871 (((x * y) / z) / x) \ x = (i(x) \ z) * i(y). [para(279(a,1),2286(a,2,2)),rewrite(19699(5),1146(4),2869(9))]. 23877 x \ (((y / ((x * x) * z)) * x) \ i(x)) = (((x * x) * y) / z) \ x. [para(279(a,1),2876(a,1,1)),rewrite(11704(6),19867(7),5388(7),202(9),202(12),16930(12))]. 23897 ((x * y) / (z * y)) \ i(u) = (y \ ((y * x) / z)) \ i(u). [para(279(a,1),306(a,2,1)),rewrite(202(4),306(4),16974(10)),flip(a)]. 23906 x / ((y * z) / (u * z)) = x / (z \ ((z * y) / u)). [para(279(a,1),426(a,2,2)),rewrite(202(4),306(4),19699(10)),flip(a)]. 23928 (x / (x / y)) * (x / (y / x)) = (x * y) / (y / x). [back_rewrite(20079),rewrite(23871(10),2270(8),23137(9))]. 23930 (x * (y * (z \ i(x)))) * x = x / (x \ ((x * z) / y)). [back_rewrite(23867),rewrite(23906(9))]. 23934 (i(x) * i(y)) * (((y * x) * x) * z) = (y \ i(x)) * ((x * (y * x)) * z). [para(1965(a,1),39(a,2,2,1)),rewrite(427(4),305(3),2253(4),277(2),2278(3),3111(7)),flip(a)]. 23940 x / (x * ((y \ x) / y)) = ((x / y) / x) \ (y / x). [para(319(a,1),1965(a,2,1)),rewrite(202(3),274(3),594(3),9857(5),40(9),2218(7),2263(8))]. 23945 (x / (y / x)) / (y / x) = ((y / x) / x) \ (x / y). [para(1732(a,1),1965(a,2,1)),rewrite(203(2),2545(4),1955(8)),flip(a)]. 23965 ((i(x) * y) \ x) \ (x \ y) = ((x * x) \ y) / (y \ x). [para(5023(a,1),1965(a,2,1)),rewrite(300(2),188(4),2246(3),13007(9))]. 23994 (x / (x / y)) * (y / x) = ((x / y) / x) \ (y / x). [back_rewrite(9861),rewrite(23940(8))]. 23999 (x / (x / y)) / (x / y) = ((x / y) / x) \ (y / x). [back_rewrite(9833),rewrite(23940(8))]. 24004 (x / ((x * y) / x)) / (y / (x * x)) = ((y / x) / x) \ (x / y). [back_rewrite(11068),rewrite(23945(10))]. 24056 (x \ y) \ ((x \ y) \ y) = y \ ((y / x) \ (x * y)). [para(196(a,1),2019(a,2,2)),rewrite(202(3),188(2),202(4),188(3),23291(9),23543(8))]. 24088 (x \ y) * ((y \ x) \ x) = x \ ((x / y) \ (y * x)). [back_rewrite(12044),rewrite(24056(8))]. 24155 ((i(x) * y) \ x) / z = (x \ (x \ y)) \ i(z). [para(2246(a,1),306(a,2,1)),rewrite(202(3),188(2)),flip(a)]. 24161 i(x) \ ((i(y) * z) \ y) = x / (y \ (y \ z)). [para(2246(a,1),426(a,2,2)),rewrite(202(3),188(2)),flip(a)]. 24175 x \ (x / (y \ (y \ x))) = (i(y) * x) \ y. [back_rewrite(5195),rewrite(24161(5))]. 24223 (x * (i(y) * z)) * (((y / ((y / u) * z)) * z) \ y) = (x * (u \ y)) * (i(y) * z). [para(308(a,1),8(a,1,2,2)),rewrite(20454(10),22197(8))]. 24225 i(x) * ((x / y) * (x / z)) = (y \ x) * i(z). [para(304(a,1),308(a,1,2)),flip(a)]. 24235 (x / (x * y)) * (x * z) = x * (i(y) * z). [para(494(a,1),308(a,1,1)),rewrite(188(4),188(6),277(7),203(6),4(7))]. 24262 (i(x) * ((x / y) * z)) \ (y \ ((y / x) \ x)) = (i(x) * z) \ (y \ x). [para(308(a,1),3457(a,1,1)),rewrite(16012(7),1146(6))]. 24263 i(x) * ((x / y) * (x \ z)) = (y \ x) * ((x * x) \ z). [para(3457(a,1),308(a,1,1)),rewrite(202(3),5014(4),202(6),3932(9),2026(10),5014(11),11125(10)),flip(a)]. 24264 (x \ (y * y)) * ((y * y) \ z) = (y * y) \ ((y / (x / y)) * z). [para(3932(a,1),308(a,2,2,1)),rewrite(202(4),5014(5),202(7),5014(11))]. 24277 (i(x) * y) * (i(x) * z) = i(x) * ((y / x) * z). [para(2123(a,1),308(a,1,1)),rewrite(37(9))]. 24283 i(x) * ((y / x) * ((x / z) * y)) = (y \ x) \ (((x / y) * z) \ x). [para(308(a,1),2278(a,2,2)),rewrite(202(4),188(3),7893(6),22197(4),24277(12)),flip(a)]. 24316 (x / y) \ (y * (i(x) * ((x / y) * z))) = y * (i(x) * z). [para(308(a,1),241(a,1,2,2))]. 24333 (x * i(y)) * ((y / (y * x)) * z) = i(x) * ((x * i(y)) * z). [para(1188(a,1),308(a,1,1)),rewrite(203(3),203(7),17195(12),203(9),17313(12)),flip(a)]. 24337 (x \ y) * (y \ (i(y) \ z)) = i(y) * ((y / x) * (y * z)). [para(1268(a,1),308(a,1,2)),rewrite(188(4),1172(4),188(9))]. 24353 i(x) * ((x / y) * ((x / y) * z)) = (i(x) * y) \ (((x / z) * y) \ x). [para(308(a,1),2019(a,2,2)),rewrite(300(2),300(4),20454(7),22197(5),308(12)),flip(a)]. 24356 (x \ y) * ((y * z) \ z) = x \ ((z / y) \ (y \ z)). [back_rewrite(20107),rewrite(24225(7),300(4),916(4))]. 24478 ((x / y) \ y) * (z * ((y \ x) / y)) = (((x / y) \ y) * z) / ((x / y) \ y). [para(2265(a,1),42(a,1,2)),rewrite(36(8))]. 24586 (x / y) * ((y / x) / x) = y \ (y / x). [para(2545(a,1),1314(a,1,2)),rewrite(202(3),274(3),202(9),274(9),3462(9),4723(9))]. 24691 ((x / (x / y)) \ z) \ x = (z \ x) * y. [para(318(a,1),5(a,1,1)),rewrite(305(6),202(5),188(4))]. 24694 x / ((y \ x) * z) = (x / (x / z)) \ y. [para(318(a,1),202(a,1,1)),rewrite(202(5),188(4),202(7),300(6),17188(8)),flip(a)]. 24729 i(x) * (y / ((y * (z * y)) / ((z * y) * y))) = i(x) * ((y * z) / (y / (y / z))). [para(786(a,1),318(a,2,2,2)),rewrite(202(7),19762(8),2877(14))]. 24754 ((x / (x \ y)) * z) * i(x) = (x / y) * (x / (x / z)). [para(2224(a,1),318(a,1,1,1)),rewrite(202(8),274(8))]. 24760 ((x * (y * x)) * z) * i(x) = (x * y) * (x / (x / z)). [para(2278(a,1),318(a,1,1,1)),rewrite(300(8),188(7))]. 24763 (x * (y * x)) * i(y) = x * (y / (y / x)). [para(2286(a,1),318(a,1,1)),rewrite(188(6))]. 24832 x \ (x / (y / (y / x))) = y / (y * x). [back_rewrite(22478),rewrite(24763(4),1133(4))]. 24835 i(x) * (y * (z * (y \ i(x)))) = x \ (((y * z) / y) / x). [para(40(a,1),2577(a,1,2))]. 24852 i(x) * ((x / y) * (z * i(x))) = (y \ x) * (x \ (z / x)). [para(2577(a,1),308(a,1,2)),flip(a)]. 24995 (x / (x / (y / x))) * (i(x) \ y) = (i(x) \ y) * (x \ y). [para(3437(a,1),2272(a,2,2)),rewrite(202(4),4284(5),5128(4),429(11),300(9),13081(11))]. 25007 (i(x) * y) * ((y * y) \ z) = y \ ((y / x) * (i(y) * z)). [para(3437(a,1),308(a,1,1)),rewrite(202(4),5014(5),202(7),3932(11),2038(10),5014(12),17586(11))]. 25011 x \ ((y / x) \ (x \ y)) = (x * y) \ y. [back_rewrite(12669),rewrite(25007(5),20076(4))]. 25012 x * (y \ (((y * x) / y) \ z)) = y \ z. [para(320(a,1),4(a,1,2)),flip(a)]. 25156 (x * y) / (x * (z / y)) = x / (x * (z / (y * y))). [para(3497(a,1),42(a,1,1,2)),rewrite(2(2),477(8)),flip(a)]. 25183 ((x / (y / x)) / ((x / (y / x)) \ z)) * (y / (x * x)) = (x / (y / x)) / z. [para(3497(a,1),279(a,2,1)),rewrite(203(5),4299(5),1602(6),16948(14),1(14))]. 25213 ((x \ y) * z) / (x \ y) = x \ (y * ((y / z) \ x)). [para(212(a,1),321(a,1,1,2,2)),rewrite(305(6),202(5),300(4),17456(5),23027(4)),flip(a)]. 25221 (x * ((x \ y) / (y \ ((y / x) \ x)))) / y = ((x / y) \ y) / x. [para(817(a,1),321(a,1,1,2)),rewrite(16012(4),1146(3),11246(5),16012(10),1146(9),3(11))]. 25247 x / (x * ((x \ y) / (z * z))) = (x * (z * z)) / y. [para(3449(a,1),321(a,1,1,2)),rewrite(477(8),25156(8)),flip(a)]. 25251 (((x / y) / x) \ z) \ z = z \ (((x * y) / x) \ z). [para(321(a,1),1182(a,1,2,1)),rewrite(202(8),657(8),1055(8)),flip(a)]. 25264 (x \ (y * z)) \ (y * z) = z \ ((x \ y) \ (y * z)). [para(3141(a,1),321(a,1,1,2,2)),rewrite(20501(7),877(3),300(6),300(5),196(6),23243(6),3(4),426(10),202(8),300(7),188(6)),flip(a)]. 25274 (x * (y * (i(z) * x))) / z = (x * y) / ((x / z) \ z). [para(8839(a,1),321(a,1,1,2)),rewrite(300(2),16012(8),1146(7),477(11),3(10))]. 25303 ((x / y) \ y) * (z * ((y \ x) / y)) = (x / y) \ (y * ((y / z) \ (x / y))). [back_rewrite(24478),rewrite(25213(12))]. 25345 x \ (y * ((y / z) \ x)) = x \ ((y * z) / (x \ y)). [back_rewrite(520),rewrite(25264(6),16938(5),25213(8)),flip(a)]. 25382 ((x / y) * z) / (x / y) = x / ((x / y) * (z \ y)). [back_rewrite(16587),rewrite(25264(6),17184(6)),flip(a)]. 25427 ((x / y) \ y) * (z * ((y \ x) / y)) = (x / y) \ ((y * z) / ((x / y) \ y)). [back_rewrite(25303),rewrite(25345(12))]. 25431 ((x \ y) * z) / (x \ y) = x \ ((y * z) / (x \ y)). [back_rewrite(25213),rewrite(25345(8))]. 25448 x / ((x / (y * y)) * (z \ (y * y))) = ((z * y) \ (y / (x / y))) \ (y / x). [back_rewrite(15615),rewrite(25382(6))]. 25449 ((x * (y / (z * z))) \ (y * i(z))) \ z = z / ((z / y) * (x \ y)). [back_rewrite(11020),rewrite(25382(11))]. 25450 (x \ y) / (((x \ y) / x) * (z \ x)) = ((z * (x / y)) \ ((y / x) \ x)) \ x. [back_rewrite(8419),rewrite(25382(6))]. 25457 (x * i(y)) \ (z / (y / x)) = y / ((y / x) * (z \ x)). [back_rewrite(800),rewrite(25382(9))]. 25478 (x * (y * (x * y))) / (y * y) = (x * y) / (y / x). [para(3833(a,1),1490(a,1,2)),rewrite(3709(3),4284(6),202(7),16935(10))]. 25488 (x * y) \ (y / x) = y \ (x \ (y / x)). [para(3833(a,1),4074(a,1,1)),rewrite(3709(7),2577(6),13350(5),362(6),203(5),13309(5),5122(5),203(3),2576(3),202(7),274(7)),flip(a)]. 25508 (x * (y / z)) * (z / (z * (y * y))) = (x / (y * y)) * (y / z). [para(3833(a,1),276(a,1,1,2)),rewrite(4284(3),202(5),274(5),202(7),274(7),364(10),202(9),16949(10)),flip(a)]. 25512 x * ((x \ y) * ((y * y) \ (x \ z))) = (y * y) \ ((y / x) * z). [para(3833(a,1),308(a,1,1)),rewrite(202(5),274(5),5014(5),202(7),274(7),364(9),202(8),16949(9),11243(9),39(10)),flip(a)]. 25543 (x \ (x \ y)) * (i(x) * y) = ((x * x) \ y) / (y \ x). [para(4007(a,1),1965(a,2,1)),rewrite(202(3),188(2),188(3),3438(2),13030(5)),flip(a)]. 25544 (i(x) * i(y)) \ ((y * x) * x) = y * (x * (y * (x * x))). [para(1965(a,1),4007(a,2,2)),rewrite(202(4),188(3),202(6),188(5),3438(5),3420(5),2868(5),9130(3)),flip(a)]. 25546 i(x) * ((x / y) * (i(x) * z)) = (y \ x) * (x \ (x \ z)). [para(4007(a,1),308(a,1,2)),flip(a)]. 25598 (x \ y) * ((y / x) \ z) = x \ ((y / (y / x)) * z). [para(322(a,1),4(a,1,2)),flip(a)]. 25667 ((x * y) / (x / (x / y))) * z = (x * y) * (x * ((x * y) \ z)). [para(2284(a,1),322(a,1,2,1)),rewrite(5(5),7249(6),5(10),5446(9)),flip(a)]. 25674 (x / (x / y)) * z = x / ((z \ x) / y). [para(2876(a,1),322(a,1,2,2,1)),rewrite(8284(8),19401(7),19704(5),2876(8),22892(8)),flip(a)]. 25680 ((x / (y / x)) \ (y / (y / (x * x)))) * z = y * ((x * x) \ ((y / (y * (x * x))) \ z)). [para(3676(a,1),322(a,1,2,1)),rewrite(9113(5),5014(7),9113(12),3034(13),3932(9),9110(12)),flip(a)]. 25778 (x \ (y / ((x \ y) / x))) * z = x \ (y / (((x * z) \ y) / x)). [back_rewrite(16888),rewrite(25598(10),25674(9))]. 25821 (x * y) * (x / y) = x * (y / (y / x)). [back_rewrite(21928),rewrite(25667(5),1133(3),3(4))]. 25867 (x \ y) * ((y / x) \ z) = x \ (y / ((z \ y) / x)). [back_rewrite(25598),rewrite(25674(7))]. 25872 (i(x) \ y) * (x \ y) = x / ((y \ x) / y). [back_rewrite(24995),rewrite(25674(6),299(3),277(3),203(2),2218(3)),flip(a)]. 25892 x / (((y / x) \ x) / y) = ((x / y) / x) \ (y / x). [back_rewrite(23994),rewrite(25674(4))]. 25894 (x * y) / (y / x) = x / ((y / x) / y). [back_rewrite(23928),rewrite(25674(5),38(3)),flip(a)]. 26133 ((x * y) * z) * i(x) = x / ((x / z) / y). [back_rewrite(571),rewrite(25674(5),38(3)),flip(a)]. 26166 (x * (y * (x * y))) / (y * y) = x / ((y / x) / y). [back_rewrite(25478),rewrite(25894(8))]. 26267 (x * y) * (x / (x / z)) = x / ((x / z) / (y * x)). [back_rewrite(24760),rewrite(26133(5)),flip(a)]. 26278 (x * ((y * x) * y)) / x = x / (x / ((y * x) * y)). [back_rewrite(22013),rewrite(26267(4),13649(3)),flip(a)]. 26328 ((x * x) \ y) * (z * (y \ (x * x))) = (x * x) \ ((y * z) / ((x * x) \ y)). [para(5011(a,1),42(a,1,2)),rewrite(36(8),25431(12))]. 26893 (((x \ y) / x) * z) * ((y / x) \ x) = x \ (((y / x) * z) * ((y / x) \ x)). [para(6029(a,1),8(a,1,1)),rewrite(694(7),1(8)),flip(a)]. 26959 ((x * y) \ i(x)) \ ((x \ y) \ y) = x * (x * (x * y)). [para(8059(a,1),2270(a,2,1)),rewrite(202(3),22917(9),22937(9))]. 27014 (x / y) / (y / (y * (y * x))) = (i(y) * i(x)) \ (x / y). [para(9887(a,1),930(a,1,2,2)),rewrite(16949(5),300(8))]. 27016 (i(x) * i(y)) \ (y / x) = y / ((x / y) / x). [para(9887(a,1),1490(a,1,2)),rewrite(16012(5),305(3),2286(4),11143(4),4284(6),26166(5),300(6)),flip(a)]. 27019 (x / y) / (y * y) = x / (y * (y * y)). [para(9887(a,1),2253(a,1,2)),rewrite(203(2),11161(5),17181(5),817(2),15868(9)),flip(a)]. 27045 (x / y) / (y / (y * (y * x))) = x / ((y / x) / y). [back_rewrite(27014),rewrite(27016(10))]. 27073 (x / (y * y)) / y = x / (y * (y * y)). [back_rewrite(9309),rewrite(27019(6))]. 27570 (x * y) * (y \ (z / (z / y))) = x * (z / (z / y)). [para(27(a,1),327(a,1,2,2,2,1)),rewrite(5023(4),7668(4),26(5),13836(6),310(5),5023(8),7668(8),27(9),26(9),13836(10),310(9),3(9))]. 29614 ((x / y) \ ((y * z) \ (y / (z / y)))) * z = y * (i(x) * (i(z) * y)). [para(3460(a,1),40(a,2,2)),rewrite(300(3),10014(4),496(6),22931(5),300(10))]. 29640 (x / y) \ ((y * z) \ (y / (z / y))) = (x / y) \ ((z \ y) / z). [para(3460(a,1),321(a,1,1,2)),rewrite(300(3),25274(6),364(5),300(4),2266(4),300(7),10014(8),496(10),22931(9)),flip(a)]. 29649 ((x / y) \ ((z \ y) / z)) * z = y * (i(x) * (i(z) * y)). [back_rewrite(29614),rewrite(29640(6))]. 29678 (i(x) \ y) * (x / y) = x / ((y / x) / y). [para(3681(a,1),1008(a,1,2,2)),rewrite(16949(5),27045(5),202(7),188(6)),flip(a)]. 29692 ((x * y) * x) / y = x / ((y / x) / y). [para(3681(a,1),11125(a,1,2)),rewrite(3709(7),664(6),305(3),2530(5),277(3),11961(5),1468(7),19865(4),306(6),26278(4),845(5),202(7),188(6),29678(7))]. 30167 (x * (y * y)) * (y \ (x \ i(y))) = i(y) * ((y * x) / (y / (y / x))). [para(7248(a,1),47(a,1,1)),rewrite(15706(7),5446(5),3438(9),3420(9)),flip(a)]. 30758 x * (y \ (x \ z)) = ((x * y) / x) \ z. [para(3(a,1),402(a,1,2)),flip(a)]. 30773 i(x) * ((x / y) \ z) = (y \ x) \ (i(x) * z). [para(304(a,1),402(a,1,1,1)),rewrite(305(3),188(2)),flip(a)]. 30774 i(x) * (y \ (x / z)) = ((y * x) \ x) / z. [para(304(a,1),402(a,1,2)),rewrite(305(4),202(3),188(2),16955(4)),flip(a)]. 30813 (x * i(y)) \ (x * z) = x * ((y \ x) \ z). [para(1602(a,1),402(a,1,1,1)),rewrite(22344(3),35(1),26(3),203(2))]. 30816 (x / ((x * y) / x)) \ (x * z) = x * ((x / y) \ z). [para(1732(a,1),402(a,1,1,1)),rewrite(2013(3))]. 30826 x * ((i(y) * x) \ z) = (x / y) \ (x * z). [para(664(a,1),402(a,1,1,1)),rewrite(926(3),1390(3)),flip(a)]. 30828 (i(x) \ y) \ (x * z) = x * ((y * x) \ z). [para(786(a,1),402(a,1,1))]. 30877 i(x) * ((y / x) \ z) = ((x / z) * y) \ x. [para(2266(a,1),402(a,1,1,1)),rewrite(305(4),203(3),300(2),664(3),2123(3),20454(5),22197(3)),flip(a)]. 30878 ((x \ y) \ y) \ ((y \ z) / y) = i(y) * (x \ (z / y)). [para(2266(a,1),402(a,1,2)),rewrite(305(4),202(3),188(2))]. 30968 (x / (x * y)) \ (x * z) = x * (i(y) \ z). [para(364(a,1),402(a,1,1)),rewrite(494(3))]. 30978 (x \ i(y)) * (z \ ((y * x) / u)) = (x \ ((z \ y) \ (y * x))) \ i(u). [para(397(a,1),402(a,1,2)),rewrite(426(6),202(4),300(3),188(2),25264(4)),flip(a)]. 31035 x \ (y \ (x * ((i(x) * y) * z))) = (i(x) * y) * (y \ z). [para(2246(a,1),402(a,1,1,1)),rewrite(429(6),300(4),4007(4),2120(4),23243(6))]. 31374 (x \ y) \ (y \ (x \ y)) = y \ (((x * y) / x) \ y). [back_rewrite(16477),rewrite(30758(7))]. 31387 (x * ((y / z) \ z)) * (z \ (((y * z) / y) \ z)) = (x * i(z)) * ((y / z) \ z). [back_rewrite(16445),rewrite(30758(6))]. 31542 x * ((x / y) \ y) = x / ((y \ x) / y). [back_rewrite(9835),rewrite(30816(5))]. 31594 ((x / y) \ (y * x)) \ y = (y * x) \ x. [back_rewrite(20109),rewrite(30877(5),22454(3))]. 31652 (((i(x) * y) \ z) * x) \ (y \ x) = (i(x) * y) * (y \ i(z)). [back_rewrite(23366),rewrite(31035(7)),flip(a)]. 32223 (x \ y) \ ((z \ x) \ y) = (z \ y) \ y. [para(305(a,1),476(a,2)),rewrite(429(6),202(3),188(2),202(7),188(6))]. 32301 ((x * (y / z)) \ ((z / y) \ y)) \ y = y \ ((x \ (y / z)) \ ((z / y) \ y)). [para(3045(a,1),476(a,1,1)),rewrite(277(7),202(6),203(5),300(4),664(5),25382(12),25450(12)),flip(a)]. 32304 (x \ (y \ (x * x))) / ((y * x) \ x) = (y \ ((y \ x) \ x)) \ x. [para(3242(a,1),476(a,1,2)),rewrite(305(5),202(4),300(3),495(3),3438(7),877(7),3438(6)),flip(a)]. 32327 (x * x) \ ((y * z) / ((x * x) \ y)) = x \ ((z \ (y \ x)) \ (y \ (x * x))). [para(8818(a,1),476(a,1,1)),rewrite(277(7),202(6),300(5),3987(5),25431(12)),flip(a)]. 32329 ((x * y) \ (y / (z / y))) \ (y / z) = (y / z) \ ((x \ y) \ (y / (z / y))). [para(8839(a,1),476(a,1,1)),rewrite(364(7),202(6),203(5),4299(5),25382(12),25448(12)),flip(a)]. 32334 (x / y) \ ((x * z) / y) = (y * z) / y. [para(476(a,1),364(a,1)),rewrite(202(7),306(7)),flip(a)]. 32392 (x \ ((y / z) \ z)) \ ((y / z) \ z) = z \ ((x \ (z / y)) \ ((y / z) \ z)). [para(6029(a,1),476(a,1,1)),rewrite(26(8),202(7),203(6),300(5),664(6),25382(12),25450(12),32301(12))]. 32439 ((x * x) \ y) * (z * (y \ (x * x))) = x \ ((z \ (y \ x)) \ (y \ (x * x))). [back_rewrite(26328),rewrite(32327(12))]. 32467 (x * y) * (z \ i(x)) = (x / (z / y)) / x. [para(477(a,1),203(a,1,1)),rewrite(203(4),202(3),202(7),630(8))]. 32470 ((x * y) / (x * z)) * u = x * ((y / z) * (x \ u)). [para(477(a,1),40(a,1,1))]. 32474 ((x / y) \ z) \ z = (x \ z) \ (y \ z). [para(477(a,1),305(a,1)),rewrite(429(5),202(3),188(2),202(7),188(6)),flip(a)]. 32481 (x \ i(y)) \ ((y / z) / y) = (y * x) / ((y * z) / y). [para(319(a,1),477(a,2,2)),rewrite(427(3),496(5),277(2))]. 32503 ((x / y) / x) / (x * z) = x / (x * (z * (x * y))). [para(630(a,1),477(a,2,1)),rewrite(362(3),496(5),277(4),16949(5)),flip(a)]. 32506 ((x / (x * y)) \ z) / x = (x * y) / ((z / x) \ x). [para(664(a,1),477(a,2,2)),rewrite(429(3),30758(4),364(3),494(3))]. 32581 (x / (x \ y)) \ (z \ x) = x \ (y / ((z \ x) \ x)). [para(2577(a,1),477(a,2,1)),rewrite(364(4),30773(5),305(7),300(6),202(4),188(3),23032(5),796(3),429(9),300(7),203(6),2272(7)),flip(a)]. 32682 ((x / y) \ z) \ (x \ z) = z \ (((x * y) / x) \ z). [back_rewrite(25251),rewrite(32474(4))]. 32692 i(x) * (y * (z * (y \ x))) = ((y * z) \ x) \ (y \ x). [back_rewrite(2147),rewrite(32474(9))]. 33201 ((x / y) \ (z / y)) * y = y * (x \ z). [para(496(a,1),6(a,1,1))]. 33203 (x \ (x / y)) \ ((z * x) / (y * x)) = x \ ((x * (y * z)) / y). [para(8(a,1),496(a,1,1)),rewrite(13455(4),1171(6)),flip(a)]. 33205 (x * i(y)) * (z / x) = (x / (z \ y)) / x. [para(496(a,1),203(a,1,1)),rewrite(300(4),203(2),202(7),630(8))]. 33206 ((x / y) \ (z / y)) * u = y * ((x \ z) * (y \ u)). [para(496(a,1),40(a,1,1))]. 33344 ((x / y) \ (z / y)) \ (y * u) = y * ((x \ z) \ u). [para(496(a,1),402(a,1,1))]. 33349 (x / (x \ y)) * ((x * x) \ y) = ((x * y) / x) \ y. [back_rewrite(20082),rewrite(33201(5),30758(3)),flip(a)]. 33352 (x / ((x \ y) \ y)) / x = (y / x) \ (x \ (y / x)). [back_rewrite(3038),rewrite(33205(5))]. 33639 x / ((y \ z) \ z) = (y * (z / x)) \ z. [para(509(a,1),37(a,1,2))]. 33661 (x \ (y / (z / y))) \ (y / (z / y)) = (y / z) \ ((x \ y) \ (y / (z / y))). [para(1747(a,1),509(a,1,1,1,2)),rewrite(32329(6)),flip(a)]. 33676 (x \ y) \ (((y / z) / x) \ y) = ((x * x) \ y) \ z. [para(3449(a,1),509(a,1,1,1)),rewrite(32474(8)),flip(a)]. 33698 (((x \ y) / x) \ y) \ x = y \ (x \ y). [para(2266(a,1),509(a,1,1,1)),rewrite(847(7))]. 33794 (((x * (y / z)) \ y) / u) \ (z / u) = ((x \ y) / u) \ (y / u). [para(509(a,1),496(a,1,1,2)),rewrite(496(4)),flip(a)]. 33796 ((x / (x / y)) \ y) / x = (y / x) \ (x \ (y / x)). [back_rewrite(33352),rewrite(33639(3),854(2))]. 33799 (x / (x \ y)) \ (z \ x) = x \ ((z * (x / y)) \ x). [back_rewrite(32581),rewrite(33639(7))]. 33881 (i(x) \ y) * ((z / ((y \ z) / y)) \ y) = x * ((z / (z / y)) \ y). [back_rewrite(17410),rewrite(33639(6),854(5),4388(8),25674(5),33639(10),854(9))]. 33903 x * ((y \ z) \ z) = (y \ (z / x)) \ z. [back_rewrite(1027),rewrite(33639(7),22994(5),25867(6),38(3),5(2)),flip(a)]. 34166 (x \ (y / (y \ x))) \ y = y \ ((y / x) \ (x * y)). [back_rewrite(24088),rewrite(33903(4))]. 34209 ((x \ y) \ y) \ x = y \ ((y \ x) \ x). [back_rewrite(16145),rewrite(33903(4),305(2),796(3))]. 34251 (x \ (y \ (y / x))) \ y = x * (x * y). [back_rewrite(2795),rewrite(33903(4),1171(2))]. 34265 (x \ y) * (((x \ y) \ z) * x) = (y \ (x / (z / (x \ y)))) \ x. [back_rewrite(1255),rewrite(33903(5)),flip(a)]. 34318 (x \ ((x \ y) \ y)) \ y = y \ (x \ ((y * x) * y)). [back_rewrite(23636),rewrite(34209(3),1055(4),34209(3))]. 34353 (x \ (y \ (x * x))) / ((y * x) \ x) = x \ (y \ ((x * y) * x)). [back_rewrite(32304),rewrite(34318(10))]. 34388 ((x \ (x / y)) \ z) \ z = (x \ z) \ ((y * x) \ z). [para(1131(a,1),511(a,1,1,1)),flip(a)]. 34395 (x \ y) / ((x \ y) \ ((z * x) \ y)) = (z \ x) \ y. [para(511(a,1),1602(a,1,2)),rewrite(33903(4),37(2)),flip(a)]. 34447 x \ (y * (x / (x \ y))) = x \ (y / (x \ (y / x))). [para(2269(a,1),511(a,1,1)),rewrite(17206(4),1371(7),19695(8)),flip(a)]. 34459 ((x * y) \ z) \ (((z / (x * y)) * y) \ z) = i(z) * (x * (x * y)). [para(511(a,1),2576(a,1,1)),rewrite(300(5),308(6),37(3),22197(10)),flip(a)]. 34478 ((x \ y) \ y) / (z \ ((z / y) \ y)) = ((x * z) \ y) \ (i(y) * z). [para(511(a,1),4074(a,1,1)),rewrite(16012(5),1146(4),300(10))]. 34541 (x * (i(y) * z)) * (((y / (u * z)) * z) \ y) = i(y) * ((y / (u \ (y / x))) * z). [para(511(a,1),276(a,1,1,2)),rewrite(33903(3),300(5),308(6),300(8),22197(13)),flip(a)]. 34568 (x \ y) \ ((z / x) \ y) = y \ ((z / (x * x)) \ y). [para(3497(a,1),511(a,1,1,1)),rewrite(33(2),32474(8)),flip(a)]. 34587 x \ ((y \ (z * i(u))) \ x) = (((u / z) * y) \ x) \ x. [para(446(a,1),511(a,1,1,1)),rewrite(33(2))]. 34592 ((x * (y * i(z))) \ u) \ u = u \ (((z / y) / x) \ u). [para(458(a,1),511(a,1,1,1)),rewrite(33(2)),flip(a)]. 34655 (x \ y) \ (y / (y \ x)) = y \ (x / (y \ (x / y))). [back_rewrite(19695),rewrite(34447(8))]. 34718 i(x) * ((x / ((x / y) \ (x / z))) * u) = (z * (y \ x)) * (i(x) * u). [back_rewrite(24223),rewrite(34541(9))]. 34719 x \ (((x / y) / (z * z)) \ x) = ((z * z) \ x) \ y. [back_rewrite(33676),rewrite(34568(5))]. 34901 ((x * y) * ((y * x) * y)) / (x * y) = (x * y) * y. [para(5691(a,1),570(a,1,1)),rewrite(5691(5),277(5),202(4),202(3),277(6),300(5),300(4),300(3),188(2),7606(3),4(4)),flip(a)]. 35611 ((x * y) * (y \ z)) \ ((x * (z / y)) * ((x * y) * (y \ z))) = ((x * (z / y)) \ y) \ y. [para(51(a,1),599(a,1,1)),rewrite(51(8))]. 35616 x \ (y / ((x \ y) / x)) = x \ ((y / (y * x)) \ x). [para(1602(a,1),599(a,1,1)),rewrite(1602(4),1732(5),5129(5),33799(6),15551(4),12213(8)),flip(a)]. 35621 (x / (x * y)) \ ((y / x) \ (x / (x * y))) = x / ((x * y) / x). [para(594(a,1),599(a,1,1)),rewrite(594(6),22022(6),3462(10),16948(11),2013(10))]. 35644 (x \ (x / y)) \ (y * (y * x)) = y * (y * (y * x)). [para(599(a,1),2253(a,1,2)),rewrite(202(3),26959(6),1171(7),1169(7)),flip(a)]. 35761 (x \ ((y / (y * x)) \ x)) * z = x \ (y / (((x * z) \ y) / x)). [back_rewrite(25778),rewrite(35616(4))]. 35781 (x \ (y \ x)) \ (y \ x) = x \ ((y / (y * x)) \ x). [back_rewrite(12213),rewrite(35616(8))]. 35935 (x \ y) \ (x \ ((z / x) * y)) = y \ (z * (x \ y)). [para(3(a,1),877(a,1,1)),rewrite(16012(7)),flip(a)]. 35938 x \ (((y / x) \ z) * x) = y \ (z * x). [para(6(a,1),877(a,1,1)),flip(a)]. 35939 x \ ((y \ (z / x)) * x) = (y * x) \ z. [para(6(a,1),877(a,1,2)),flip(a)]. 35943 x / (x / (y \ (z \ x))) = (x / y) / z. [para(201(a,1),877(a,1,2)),rewrite(309(4),310(8)),flip(a)]. 35950 (x \ i(y)) * (z * x) = x \ ((z \ y) \ x). [para(877(a,1),300(a,1,1)),rewrite(300(4),202(3),300(2),1055(4),3136(4),202(5)),flip(a)]. 35955 (x / (x / y)) \ (z * i(x)) = x / (x / ((x * y) \ z)). [para(317(a,1),877(a,1,1)),rewrite(310(11))]. 35965 (x * (y \ (z * y))) \ (u * y) = y \ ((((x / y) * z) \ u) * y). [para(50(a,1),877(a,1,1))]. 35969 (x * y) \ ((z \ y) \ y) = y \ ((x \ (y \ z)) * y). [para(1055(a,1),877(a,1,2))]. 35971 (x * y) \ ((z \ (y \ (y / x))) * (x * y)) = (z * (x * y)) \ y. [para(1131(a,1),877(a,1,2)),flip(a)]. 35975 (x * y) \ ((z / y) \ y) = y \ ((x \ (y / z)) * y). [para(1146(a,1),877(a,1,2))]. 35987 (x * y) / ((x / (x \ z)) * y) = (z * y) * (y \ i(x)). [para(877(a,1),566(a,1,2,2)),rewrite(990(6),202(8))]. 35990 (x * i(y)) \ (y / (y * z)) = y / (y / (x \ (y / z))). [para(594(a,1),877(a,1,2)),rewrite(310(11))]. 36000 (x * y) \ (z * (y * (z * y))) = y \ ((z \ x) \ (y * (z * y))). [para(877(a,1),3326(a,1,1)),rewrite(23243(5),3709(9)),flip(a)]. 36006 (x \ (y * y)) \ (z * y) = y \ (((x \ y) \ z) * y). [para(3438(a,1),877(a,1,1))]. 36007 (x * y) \ (z \ (y * y)) = y \ ((x \ (z \ y)) * y). [para(3438(a,1),877(a,1,2))]. 36008 x \ (((y / (x / y)) \ z) * x) = (y * y) \ (z * x). [para(3449(a,1),877(a,1,1)),flip(a)]. 36009 x \ ((y \ (z / (x / z))) * x) = (y * x) \ (z * z). [para(3449(a,1),877(a,1,2)),flip(a)]. 36026 ((x * y) * (z / x)) \ (z / x) = (y * (z / x)) \ ((x \ z) / x). [para(2266(a,1),877(a,1,2)),rewrite(897(11)),flip(a)]. 36050 (x / (y * y)) \ (z * i(y)) = y / (y / ((x / y) \ z)). [para(3500(a,1),877(a,1,1)),rewrite(310(11))]. 36323 x \ ((y / x) * (y * x)) = x \ (y * (x \ (y * x))). [back_rewrite(16304),rewrite(35969(5),2253(3),1541(3)),flip(a)]. 36338 x / ((x * y) / (y * x)) = x / (x / ((y * x) / y)). [back_rewrite(19835),rewrite(35990(6),493(3)),flip(a)]. 36358 (((x \ y) * z) * (y / x)) \ ((x \ y) / x) = x / (x * (z * y)). [back_rewrite(17100),rewrite(36026(7))]. 36420 (x \ y) \ (y \ (x * y)) = y \ (x * (y \ (x * y))). [back_rewrite(16124),rewrite(36323(8))]. 36498 i(x) * ((y * z) / (y / (y / z))) = i(x) * (y / (y / (z / (z / y)))). [back_rewrite(24729),rewrite(36338(7),13455(5),13595(5)),flip(a)]. 36552 (x * (y * y)) * (y \ (x \ i(y))) = x / (y / (y / x)). [back_rewrite(30167),rewrite(36498(12),304(12),203(10),25674(10),2038(9))]. 37118 x / (x \ ((y * z) * (y \ x))) = (y / z) * (y \ x). [para(3(a,1),990(a,1,1)),rewrite(694(4))]. 37121 ((x / y) / z) * y = x / (y \ (z * y)). [para(6(a,1),990(a,1,1)),flip(a)]. 37127 x \ (y * (x * ((x \ (y \ (x * (z * x)))) * u))) = ((z / y) * x) * (x \ (y * (x * u))). [para(990(a,1),39(a,1,1)),rewrite(17488(5),23243(12),17488(14)),flip(a)]. 37139 (x * y) / ((z * y) \ y) = (i(x) \ z) * y. [para(305(a,1),990(a,2,1)),rewrite(891(4))]. 37145 ((x \ (y * x)) / y) * x = x \ (y / (x \ (y / x))). [para(990(a,1),319(a,2)),rewrite(300(5),202(4),1055(5),847(5),3(5),17488(4),1602(2),34447(4)),flip(a)]. 37169 ((x / y) \ y) / (y \ (z * y)) = ((y / x) / z) * y. [para(1146(a,1),990(a,1,1))]. 37170 (x \ i(y)) \ (x \ z) = (y / (x / z)) * x. [para(1146(a,1),990(a,1,2,2)),rewrite(1182(4),429(4),202(2))]. 37179 (x / (y / x)) / ((x / y) \ (z * (x / y))) = (x / z) * (x / y). [para(1732(a,1),990(a,1,1))]. 37202 (x \ (y * y)) / (y \ (z * y)) = ((x \ y) / z) * y. [para(3438(a,1),990(a,1,1))]. 37203 (x * y) / (y \ (z \ (y * y))) = (x / (z \ y)) * y. [para(3438(a,1),990(a,1,2,2))]. 37205 ((x \ (y * x)) / ((z / y) * x)) * (z * x) = x \ (y * (y * x)). [para(990(a,1),3449(a,1,1,2)),rewrite(16012(12),5(9))]. 37206 ((x / (y / x)) / z) * y = x / ((y \ (z * y)) / x). [para(3449(a,1),990(a,1,1)),rewrite(3932(4)),flip(a)]. 37210 (x \ (y * (y * x))) / (z * x) = (x \ (y * x)) / ((z / y) * x). [para(990(a,1),3932(a,2,2)),rewrite(16012(5),5(2))]. 37227 (i(x) \ (y / z)) * z = (x * z) / (y \ z). [para(2272(a,1),990(a,1,2,2)),rewrite(1371(4),427(6)),flip(a)]. 37228 (x * y) / (i(z) \ y) = (x / (y * z)) * y. [para(2284(a,1),990(a,1,2))]. 37230 (x / (i(y) \ z)) * y = (x * y) / (z * y). [para(2286(a,1),990(a,1,2,2)),rewrite(4(4)),flip(a)]. 37236 (x / (y \ z)) * i(y) = (y / x) \ (y / z). [para(2576(a,1),990(a,1,2,2)),rewrite(1172(6),493(5),610(5),427(5),202(3),274(3)),flip(a)]. 37250 ((x / y) * z) * (z \ (y \ z)) = (x * z) / (z \ (y * (y * z))). [para(990(a,1),3500(a,1,1)),rewrite(300(5),202(4),1055(5),847(5),16012(11),5(8))]. 37251 (x / (y * y)) / (y / (y / z)) = ((x / y) / z) * i(y). [para(3500(a,1),990(a,1,1)),rewrite(310(6))]. 37258 ((x / y) / ((y * z) / y)) * i(y) = (x / z) / (y * y). [para(4284(a,1),990(a,1,1)),rewrite(4284(7),4341(7),854(6),3932(5),3932(6),2013(5),37251(7),4284(10))]. 37274 (x \ y) \ ((((y * y) \ x) \ (z \ (y \ i(y)))) * x) = (y / z) * ((y * y) \ x). [para(7668(a,1),990(a,1,1)),rewrite(694(8),376(9),300(8),202(7),202(6),202(5))]. 37289 (x / y) \ (x / (x * z)) = (y / z) * i(x). [para(310(a,1),990(a,1,2)),rewrite(364(5),203(4),594(4))]. 37297 (x / y) \ ((x * z) / x) = (i(y) \ z) * i(x). [para(375(a,1),990(a,1,2)),rewrite(674(5),364(5),203(4),203(3),319(4),305(6))]. 37359 (i(x) \ (y \ z)) * i(z) = (z / x) \ (z * i(y)). [para(3445(a,1),990(a,1,2,2)),rewrite(493(6),3(4),364(4),203(3),429(7)),flip(a)]. 37413 (x \ (y * (x * z))) / (x \ (y * z)) = x \ (y / (x \ (y / x))). [para(990(a,1),476(a,2)),rewrite(17488(3),16012(7),5(5),37145(10))]. 37444 x * (y \ ((z * z) \ y)) = x / (y \ ((z * z) * y)). [back_rewrite(11251),rewrite(37121(4)),flip(a)]. 37547 (i(x) \ y) * (((i(x) \ y) \ z) * ((y * (x \ (i(x) \ y))) \ (x \ (i(x) \ y)))) = (z * x) / (y * x). [back_rewrite(23669),rewrite(37230(19))]. 37718 ((x * y) \ z) * x = y \ ((z \ x) \ x). [para(4(a,1),1010(a,1,1)),flip(a)]. 37721 x \ ((y \ (z / x)) \ (z / x)) = (z \ y) * (z / x). [para(38(a,1),1010(a,1,1))]. 37722 (x \ (y / z)) * y = (y \ x) \ (z \ y). [para(38(a,1),1010(a,1,2,1)),flip(a)]. 37723 x / ((y * (z \ x)) \ (z \ x)) = (i(z) \ y) * (z \ x). [para(212(a,1),1010(a,1,1)),rewrite(17204(6))]. 37738 (x \ y) \ ((y \ x) \ ((y / z) \ x)) = (z / y) * x. [para(845(a,1),1010(a,2,1)),rewrite(32474(5))]. 37746 (x \ (y * z)) * y = (y \ x) \ (z * y). [para(1133(a,1),1010(a,1,2,1)),rewrite(3326(4),3439(4)),flip(a)]. 37818 ((x \ y) / x) \ ((z \ x) \ x) = ((y * i(x)) \ z) * x. [para(2218(a,1),1010(a,1,1))]. 37821 (x \ (y * i(z))) * z = (z \ x) \ (z \ y). [para(2224(a,1),1010(a,1,2,1)),rewrite(38(4)),flip(a)]. 37840 (x \ (y \ z)) * i(z) = z * ((x * z) \ i(y)). [para(2530(a,1),1010(a,1,2,1)),rewrite(212(6),203(4),30828(5)),flip(a)]. 37868 ((x * x) \ y) \ ((z \ x) \ x) = ((i(x) * y) \ z) * x. [para(4970(a,1),1010(a,1,1))]. 38035 (x * y) \ ((z / y) \ y) = y \ ((y \ x) \ (z \ y)). [back_rewrite(35975),rewrite(37722(7))]. 38140 (x / y) \ (x * i(z)) = x * ((x \ y) / z). [back_rewrite(37359),rewrite(37840(5),374(4)),flip(a)]. 38213 (x \ (x / y)) / (y \ (x \ y)) = y \ ((x \ y) \ y). [para(1071(a,1),854(a,1,2)),rewrite(33903(5),23126(4),3136(4),2852(9)),flip(a)]. 38215 ((x / y) \ (x * y)) \ y = x \ (x / y). [para(1071(a,1),925(a,1,2)),rewrite(2852(6),38213(5),33639(6),930(4),300(2),30826(4))]. 38231 (x \ (x / y)) / (y \ (y \ x)) = y \ (x \ (y * y)). [para(3319(a,1),1071(a,2,1)),rewrite(5461(4),3433(7),4017(6))]. 38234 x \ ((x \ i(y)) \ (y \ x)) = x \ (y / (x \ (y / x))). [para(1182(a,1),1071(a,2,1)),rewrite(32474(3),34(2),24(3),300(2),37(5),376(5),300(4),203(3),2272(4),34655(4),38035(9)),flip(a)]. 38324 (x \ (y * (y * x))) * (y \ (y / x)) = x \ (y * y). [para(1094(a,1),1490(a,1,2)),rewrite(33903(5),37(3),11139(3),300(9),916(9),3434(10))]. 38937 i(x) \ (y \ (y / x)) = (y \ (y / x)) * x. [para(1095(a,1),243(a,2,1)),rewrite(3254(6),33206(8),8835(7),630(5),25674(5),1106(3),926(3),305(2),17195(4))]. 39098 (x \ (y * (x * x))) * ((y * x) \ x) = x \ (y / (x \ (y / x))). [para(1008(a,1),1153(a,1,2,2)),rewrite(1055(3),1501(3),891(6),1055(9),1501(9),37413(12))]. 39114 ((x * y) * x) * (i(y) * i(x)) = (x * y) / (x / (x / y)). [para(1278(a,1),1153(a,1,2)),rewrite(5446(10))]. 39830 (x \ (x / y)) / (y / ((y / x) / x)) = (x * x) \ i(y). [para(1169(a,1),4074(a,1,1)),rewrite(13345(7),4(5),22074(5),203(10),202(9),630(10),651(10))]. 39999 ((x / y) * z) \ (x * (y \ (z * (y * (x * (y \ (z * y))))))) = y * (x * (y \ (z * y))). [para(1194(a,1),3438(a,1,1)),rewrite(3709(13),17488(12)),flip(a)]. 40054 ((x \ y) \ y) / z = y \ (x / (z / y)). [para(1194(a,1),369(a,1,1)),rewrite(891(6),202(7),16944(7)),flip(a)]. 40162 x \ (y / ((x * z) \ (x / (z / x)))) = ((y * z) \ x) \ (i(x) * z). [back_rewrite(34478),rewrite(40054(6),22931(4))]. 40199 ((x * y) \ y) \ i(z) = y \ (x / (z / y)). [back_rewrite(16944),rewrite(40054(7))]. 40211 (x / y) * (z / y) = (x * (y \ z)) / y. [para(6(a,1),1195(a,1,1,2,2)),flip(a)]. 40213 (i(x) \ y) * (z \ y) = ((y / z) \ i(x)) \ y. [para(201(a,1),1195(a,1,1,2,2)),rewrite(274(3),305(4),202(3),305(6)),flip(a)]. 40215 (x * (i(y) \ z)) / z = z * ((z \ x) * y). [para(39(a,1),1195(a,2)),rewrite(2284(3))]. 40259 (x * ((y * z) \ z)) / z = (x / z) * i(y). [para(891(a,1),1195(a,1,1,2))]. 40261 (x * (y \ (z \ (y * y)))) / y = (x / y) * (z \ y). [para(3438(a,1),1195(a,1,1,2,2))]. 40276 x * ((x \ y) * i(z)) = (y * (z \ x)) / x. [para(2272(a,1),1195(a,1,1,2,2)),rewrite(1371(3),39(7)),flip(a)]. 40278 (x / y) * (i(y) \ z) = (x * (z * y)) / y. [para(2286(a,1),1195(a,1,1,2,2)),rewrite(4(3)),flip(a)]. 40282 (i(x) \ y) * (y \ z) = ((y / z) / x) \ y. [para(2576(a,1),1195(a,1,1,2,2)),rewrite(1172(4),493(3),610(3),305(5),202(4),309(4),305(5)),flip(a)]. 40352 i(x) * ((i(x) \ y) * z) = ((z / x) \ i(y)) \ x. [para(3445(a,1),1195(a,1,1,2,2)),rewrite(493(4),3(2),305(4),202(3),305(6),308(9),305(7)),flip(a)]. 40430 ((x / (y / ((x \ y) / x))) \ i(z)) \ x = z * ((y / (y / x)) \ x). [back_rewrite(33881),rewrite(40213(7))]. 40431 x / ((y \ x) / y) = (x / (x * y)) \ y. [back_rewrite(25872),rewrite(40213(4),494(3)),flip(a)]. 40593 (i(x) \ y) * ((z * y) \ i(y)) = ((y * (y * z)) / x) \ y. [back_rewrite(21931),rewrite(40352(7),362(3),306(5)),flip(a)]. 40617 x \ ((y * x) * (((y * x) \ x) * (x * z))) = ((z / y) \ i(x)) \ y. [back_rewrite(17562),rewrite(40352(12))]. 40634 x * ((y / (y / z)) \ z) = ((y / (y / z)) / x) \ z. [back_rewrite(40430),rewrite(40431(3),37(4),16940(4)),flip(a)]. 40636 x * ((x / y) \ y) = (x / (x * y)) \ y. [back_rewrite(31542),rewrite(40431(6))]. 40651 x \ ((x / (x * y)) \ y) = (x / y) \ y. [back_rewrite(16179),rewrite(40431(3))]. 40661 (x * y) / (y \ x) = (x / (x * y)) \ y. [back_rewrite(9809),rewrite(40431(6))]. 41899 (x \ (x / y)) * y = (y / x) * (x / y). [para(1397(a,1),51(a,1,1)),rewrite(23189(7),38(7)),flip(a)]. 41950 i(x) \ (y \ (y / x)) = (x / y) * (y / x). [back_rewrite(38937),rewrite(41899(7))]. 42105 (x \ y) \ (x \ z) = x \ ((y / x) \ z). [para(1445(a,1),377(a,1,1)),rewrite(202(8),202(7),188(6)),flip(a)]. 42285 (x \ (y * i(z))) * z = z \ ((x / z) \ y). [back_rewrite(37821),rewrite(42105(7))]. 42303 x \ ((y \ i(x)) \ z) = (y / (x / z)) * x. [back_rewrite(37170),rewrite(42105(4),277(2))]. 42314 x \ ((y / x) \ ((z / x) * y)) = y \ (z * (x \ y)). [back_rewrite(35935),rewrite(42105(5))]. 42426 x \ ((y / x) \ (x / y)) = (y \ x) / y. [back_rewrite(22322),rewrite(42105(4))]. 42536 x \ ((x \ (x / y)) \ y) = (i(y) * x) \ y. [back_rewrite(4712),rewrite(42105(4),926(2))]. 42541 x \ (((x \ y) / x) \ y) = y \ (x * y). [back_rewrite(2120),rewrite(42105(4))]. 42569 x * ((y * z) / y) = ((x * y) * z) / y. [para(4(a,1),1446(a,1,1,2)),flip(a)]. 42572 (x \ y) * (i(z) \ y) = ((i(y) \ z) \ x) \ y. [para(201(a,1),1446(a,1,1,1)),rewrite(305(6),202(5),188(4),305(7)),flip(a)]. 42629 ((x * (y \ z)) * (z \ (y * y))) / (y \ z) = x * (y / (y \ z)). [para(3326(a,1),1446(a,1,1,2))]. 42650 (x * y) * (z * z) = x * (y * (z * z)). [para(2270(a,1),1446(a,1,1,2)),rewrite(20392(5),305(7),300(6),202(4),300(3),877(4),897(4),201(5),202(3),202(2),3326(4),9100(4),305(6),202(5),3326(6),3420(6))]. 42652 (i(x) \ y) * (i(y) \ x) = (y \ (y \ i(x))) \ x. [para(2272(a,1),1446(a,1,1)),rewrite(299(5),305(4),300(3),1965(4),305(4),202(3),202(2),305(8)),flip(a)]. 42662 (x * (y * y)) * z = x * ((y * y) * z). [para(3420(a,1),1446(a,1,1,2)),rewrite(22917(5),42650(4),1268(5),305(7),300(6),300(5),202(3),1282(6),307(5),3326(5),3439(5),305(6),202(5),4341(6))]. 42663 x * (y / (z * z)) = (x * y) / (z * z). [para(1446(a,1),3462(a,2)),rewrite(42662(5),3(4),3462(4)),flip(a)]. 42667 x * (y / (y * (z * z))) = ((x * y) / (z * z)) / y. [para(3676(a,1),1446(a,1,1,2)),rewrite(4284(4),9113(7)),flip(a)]. 42671 (x * (y \ z)) / (z * z) = x * (y \ i(z)). [para(4074(a,1),1446(a,2,2)),rewrite(4090(5),42662(6),1490(5),2253(4),5(2))]. 42680 x * (y / ((y * y) * z)) = (x * (y / z)) / (y * y). [para(5122(a,1),1446(a,1,1,2)),rewrite(42662(5),1490(4),274(3),4454(7)),flip(a)]. 42786 ((x * (y / z)) \ ((x * (y / z)) / z)) \ (((x * z) * (z \ y)) * z) = z * (((x * z) * (z \ y)) * z). [para(1446(a,1),1151(a,1,1,2)),rewrite(1495(6))]. 42791 ((x * (y / z)) \ ((x * (y / z)) / z)) \ (z \ (((x * z) * (z \ y)) * z)) = ((x * z) * (z \ y)) * z. [para(1446(a,1),1167(a,1,1,2)),rewrite(1495(6))]. 45119 (x * (i(y) * z)) * (z \ (y * z)) = (((x * z) * y) * (y \ z)) / z. [back_rewrite(23650),rewrite(42569(3),39(6),40276(6)),flip(a)]. 45147 (((x / y) \ z) * y) * ((z / (x / y)) * x) = y * (x \ (z * (y * (z * y)))). [back_rewrite(20089),rewrite(42569(4),33206(9),35938(7),16012(6),5(3),3709(3)),flip(a)]. 45148 ((x / y) \ z) * y = y * (x \ (z * y)). [back_rewrite(20088),rewrite(42569(4),45147(12),33344(11),42105(8),5(3),36000(5),34(1),33(4),4(3)),flip(a)]. 45220 (x \ (y \ x)) \ y = x \ (y * (x * y)). [back_rewrite(16288),rewrite(42572(4),847(3))]. 45358 x * (((y \ (z * (z * z))) / (z * z)) \ (z * z)) = x * (z \ ((y * z) * z)). [back_rewrite(20353),rewrite(42650(5),24235(6),731(4),42662(12),1602(11),3932(11),8346(10),6751(11),4455(10),3326(11)),flip(a)]. 45376 x * (y \ (z * z)) = (y / x) \ (z * z). [back_rewrite(10082),rewrite(42650(4),3987(3))]. 45405 x * (y / (y * x)) = x / (y / (y / x)). [back_rewrite(36552),rewrite(42662(6),1490(5),307(4))]. 45486 (x * ((y * y) * z)) \ (x / (x / y)) = (((y * x) * y) * z) \ y. [back_rewrite(22908),rewrite(42662(3))]. 45538 (x * x) \ (((x * x) * y) * z) = y * z. [back_rewrite(11704),rewrite(42662(5),3(4)),flip(a)]. 45543 ((i(x) \ y) * z) * y = x * ((y * z) * y). [back_rewrite(8289),rewrite(42662(5),1490(4),2270(3)),flip(a)]. 45546 (x * y) * ((y * x) * y) = x * (y * (y * (x * y))). [back_rewrite(6737),rewrite(42662(5),5139(4),277(3),202(2),5993(4)),flip(a)]. 45622 x / ((x / y) * (z \ y)) = x / (((z * y) / x) \ y). [back_rewrite(25449),rewrite(42663(3),36050(6),38(6)),flip(a)]. 45623 (x * (y * y)) / z = x / (z / (y * y)). [back_rewrite(25247),rewrite(42663(4),3(2)),flip(a)]. 45625 (x / (y / x)) / z = x / ((z * y) / x). [back_rewrite(25183),rewrite(42663(9),37206(7),36008(5),8346(4),6751(5),4455(4),3326(5),926(7),3932(6),27073(5),5122(7),203(5),202(4),42662(5),11636(4),1732(4),1390(5)),flip(a)]. 45629 (x * y) / (x * (z / y)) = x / ((x * z) / (y * y)). [back_rewrite(25156),rewrite(42663(7))]. 45661 (x / y) \ (x / (z * z)) = y / (z * z). [back_rewrite(16855),rewrite(42663(5),3(3))]. 45695 (x / (y * y)) * (y / z) = x * (y \ i(z)). [back_rewrite(25508),rewrite(42667(6),51(3),42671(5),16974(5),23897(5),212(5),203(3),202(2)),flip(a)]. 45714 (x * y) * (i(z) * i(y)) = (x * (y / z)) * i(y). [back_rewrite(22628),rewrite(42680(4),8839(5)),flip(a)]. 45844 (x * (y \ (z * y))) * (y \ (z \ (y * y))) = (((x * y) * z) * (z \ y)) / y. [back_rewrite(3413),rewrite(45119(13))]. 45942 x / (x \ ((y * x) * (x \ z))) = x * (z \ (i(y) * x)). [back_rewrite(4697),rewrite(45148(9))]. 46008 (((x \ (y * (y * y))) / (y * y)) / z) \ (y * y) = z * (y \ ((x * y) * y)). [back_rewrite(45358),rewrite(45376(8))]. 46019 (((x / y) \ (x / z)) \ (y * y)) / (y \ x) = z * (y / (y \ x)). [back_rewrite(42629),rewrite(45376(5),22994(3))]. 46067 x \ ((y \ (z \ x)) \ (z \ (x * x))) = x \ (x \ ((z * (y * (z \ x))) * x)). [back_rewrite(32439),rewrite(45376(5),45376(6),23027(6),45376(5),36007(6),1055(5),32474(4),32682(4),3326(5),3431(5),40(3)),flip(a)]. 46196 ((x / y) \ (z * z)) * (z \ (z \ (x * z))) = ((x / z) \ (x / y)) \ (z * z). [back_rewrite(3467),rewrite(45376(3),45376(12),22994(10))]. 46220 x * (x * ((y / (y / z)) / z)) = x / ((z / (y / (y / z))) / x). [back_rewrite(17002),rewrite(45405(8))]. 46291 (x * (y * (y * (x * y)))) / (x * y) = (x * y) * y. [back_rewrite(34901),rewrite(45546(4))]. 46494 (x * i(y)) \ (z / (y / x)) = y / (((z * x) / y) \ x). [back_rewrite(25457),rewrite(45622(9))]. 46508 ((x / y) * z) / (x / y) = x / (((z * y) / x) \ y). [back_rewrite(25382),rewrite(45622(8))]. 46544 x / (((x / y) \ (z * x)) / x) = (x / z) * (x / y). [back_rewrite(37179),rewrite(45625(7),17488(5),6(3))]. 46563 x / (((x / y) \ y) / x) = ((y / x) / x) \ (x / y). [back_rewrite(24004),rewrite(45625(6),5829(4),10021(3),3(4))]. 46570 (x / (y * y)) \ i(z) = y / ((z * x) / y). [back_rewrite(16948),rewrite(45625(7))]. 46583 ((x / y) * z) * i(y) = x * ((y \ z) / y). [back_rewrite(9210),rewrite(45695(5),203(2),2218(3)),flip(a)]. 46590 (x * y) / (x / (x / y)) = x / (x / (y / (y / x))). [back_rewrite(39114),rewrite(45714(6),25821(3),317(5)),flip(a)]. 46621 (x * x) \ ((y * z) / ((x * x) \ y)) = x \ (x \ ((y * (z * (y \ x))) * x)). [back_rewrite(32327),rewrite(46067(12))]. 46698 (x * (y \ (z * y))) / (y * y) = x * ((y \ z) / y). [back_rewrite(9793),rewrite(46583(9))]. 46745 (x / (x / y)) / ((x * y) / (x * x)) = x / (x / (y / (y / x))). [back_rewrite(7618),rewrite(46590(10))]. 46793 x \ (y / (x \ (y / x))) = x \ (((y / x) / y) \ x). [para(1501(a,1),1055(a,1,1)),rewrite(39098(6),35781(10),1739(8))]. 46911 x \ ((x \ i(y)) \ (y \ x)) = x \ (((y / x) / y) \ x). [back_rewrite(38234),rewrite(46793(9))]. 47021 ((x \ (y / z)) \ y) / z = ((x \ y) / z) \ (y / z). [para(352(a,1),42(a,1,1,2)),rewrite(427(8),202(6),374(6),33794(6),33903(7)),flip(a)]. 47065 ((x * (y / z)) \ y) / z = z / (z / ((x * y) \ y)). [para(352(a,1),891(a,2,1)),rewrite(300(4),916(4),310(6),374(10)),flip(a)]. 47284 (x * y) * ((x * y) * y) = x * (y * (x * (y * y))). [para(1171(a,1),1503(a,1,1,2)),rewrite(1936(3),25544(6)),flip(a)]. 47333 (x \ (y \ (y / z))) * (z * y) = ((z * y) \ x) \ (y \ (z \ y)). [para(1503(a,1),1010(a,1,2,1)),rewrite(2162(6)),flip(a)]. 47344 (x * y) \ (((x * y) \ z) \ (y \ (x \ y))) = (z * (x * y)) \ y. [back_rewrite(35971),rewrite(47333(6))]. 47390 (x \ i(y)) * (y / x) = y * ((x * y) \ i(x)). [para(1520(a,1),276(a,1,1)),rewrite(37840(4),2576(8),929(7)),flip(a)]. 47391 (x \ (x \ i(y))) * y = (x \ y) * (y \ i(x)). [para(1520(a,1),279(a,1,1)),rewrite(277(7),1172(8),274(7),1055(7),38(6))]. 47438 (x \ y) * (x * y) = x \ ((y * x) * y). [para(5(a,1),1541(a,1,1,1)),rewrite(23645(7),3(8))]. 47439 (x / y) * (y \ x) = x * (y \ (y \ x)). [para(6(a,1),1541(a,2,2,2)),rewrite(6187(4),29649(5),4007(4)),flip(a)]. 47452 (x * (y \ (x * y))) / ((y / x) \ x) = (y / x) \ ((x * y) / ((y / x) \ x)). [para(1541(a,1),319(a,2,1)),rewrite(300(5),2266(5),25427(6)),flip(a)]. 47475 x / (y \ (x / y)) = ((x / y) / x) \ y. [para(664(a,1),1541(a,2,2,2)),rewrite(5(3),47438(5),2272(4),17206(4),38035(8),46911(8),3(8))]. 47502 x * (y * (x \ (y * x))) = (y \ (x / (x * y))) \ x. [para(1541(a,1),2278(a,2,2)),rewrite(16958(4),22410(3)),flip(a)]. 47642 (((x / y) \ y) \ (((x / y) \ y) / x)) * ((y \ (x / (x * y))) \ x) = y * (x \ (y * x)). [para(1541(a,1),1321(a,1,2,2)),rewrite(47502(10),1541(14))]. 47685 ((x / y) / y) * x = x * (y \ (y \ x)). [back_rewrite(16249),rewrite(47439(6))]. 47708 x / (((x / y) / x) \ y) = (y / x) \ ((x / y) / x). [back_rewrite(12666),rewrite(47475(3))]. 47787 x \ (y \ (x * ((y \ (y / x)) * ((y * x) * x)))) = y \ (i(y) \ x). [para(1556(a,1),2456(a,1,1,2)),rewrite(963(4),16093(3),3(4),23243(8),300(11),203(10),1282(11))]. 47895 (x / (i(y) \ (z \ (y * x)))) / x = ((y \ z) / y) / x. [para(363(a,1),2270(a,2,1)),rewrite(300(3),188(2),32467(5),651(5),1146(2),16958(4),32467(10),21513(7)),flip(a)]. 47920 (x * ((x \ i(y)) * z)) \ i(u) = ((x * z) \ (x * y)) / u. [para(363(a,1),362(a,2,1)),rewrite(300(4),188(3)),flip(a)]. 47933 ((x * y) \ (x * z)) / z = (z * (x * y)) \ (z * x). [para(363(a,1),271(a,1,1)),rewrite(47920(6),188(8))]. 48046 (x \ y) * (y \ x) = x * (y \ (y / x)). [para(1595(a,1),39(a,2,2)),rewrite(37(2),16012(4),22039(4)),flip(a)]. 48147 (x \ (x / y)) * ((x * y) * y) = y \ ((x * y) * y). [para(1727(a,1),854(a,1,2)),rewrite(4298(11),426(11),300(8),203(7),1282(8),5501(11))]. 48203 x \ (y \ ((y * x) * x)) = y \ (i(y) \ x). [back_rewrite(47787),rewrite(48147(5),3(4))]. 48227 (x * y) / ((x / y) / x) = x / (x / ((y * x) * y)). [para(1739(a,1),317(a,2,2)),rewrite(47284(4),202(6),32467(7),5379(4),21107(4),2038(5)),flip(a)]. 48251 (x * y) * (x * (y * y)) = x * (y * ((x * y) * y)). [para(1739(a,1),1106(a,1,1,1)),rewrite(32503(4),30968(6),202(3),2278(4),202(6),11574(9),15638(8)),flip(a)]. 48445 (x * (y * (y * z))) / (x * y) = x / ((x * (y / z)) / (y * y)). [para(1744(a,1),477(a,1,1,2)),rewrite(477(5),45629(5)),flip(a)]. 48502 x / ((x * (y \ (y / x))) / (y * y)) = (x * y) * y. [back_rewrite(46291),rewrite(48445(6),1171(2))]. 48808 x \ ((i(x) * y) \ (y * x)) = x \ (y \ ((x * y) * x)). [para(930(a,1),1753(a,1,1)),rewrite(22931(5),5122(5),426(5),2270(5),23637(5),1055(7),40054(10),22931(8),5122(8),426(8),300(6)),flip(a)]. 48952 ((x * x) \ y) / (y \ x) = x \ ((y \ x) \ (x \ y)). [para(1773(a,1),2253(a,1,2)),rewrite(300(3),300(2),2246(3),23965(5),38231(9),42105(10),3328(7))]. 49010 (x \ (x \ y)) * (i(x) * y) = x \ ((y \ x) \ (x \ y)). [back_rewrite(25543),rewrite(48952(9))]. 49089 (x * i(y)) * (((y * z) / y) \ z) = x * (((y / z) * (y * z)) \ y). [para(305(a,1),387(a,1,2,1,2)),rewrite(674(5),305(6),203(5),203(4),319(5),305(9),674(10),305(11),203(10),203(9),319(10),30877(11))]. 49128 (x * i(y)) * ((y / z) \ (i(z) * y)) = x * (y \ (((z * y) / z) \ y)). [para(566(a,1),387(a,1,2,1)),rewrite(364(6),300(5),566(11),364(12),300(11),30773(13),495(12),847(11),31374(11))]. 49172 x \ ((x / (x / y)) / y) = y / (y * x). [para(387(a,1),4001(a,1,2)),rewrite(46220(8),305(7),203(6),25674(6),2038(5),38(6),277(5),203(4),594(4),1172(5),17190(4),24832(4),188(4)),flip(a)]. 49211 (x / (x / y)) / y = x / (y / (y / x)). [para(1314(a,1),387(a,2)),rewrite(188(2),27(2),1(5),188(6),49172(8),17190(7))]. 49292 (x / (y * z)) \ i(z) = y * (z / (z * x)). [para(387(a,1),1446(a,2)),rewrite(27570(7),19698(5),364(4),49211(8),304(9),203(7),594(7))]. 49552 x * (y \ (y / x)) = y * (x \ (x / y)). [para(2000(a,1),241(a,1,2,2)),rewrite(854(4),566(4),38140(4),926(2))]. 50060 (x \ (y / x)) \ (y \ (x \ (y / x))) = (y / x) \ ((y / x) \ ((x \ y) / x)). [para(854(a,1),2155(a,2,2,1)),rewrite(40211(3),1602(2),13211(3),13274(4),13324(4),32474(6),25488(5),3254(11))]. 50101 (x / (((x / (y \ (z * y))) / x) \ y)) * (x / y) = (x / y) / (z / (x / y)). [para(2155(a,1),298(a,1,1)),rewrite(16922(8),46494(7),37121(3),3709(13),2577(12),13350(11),13274(12),203(13),13268(13),17470(13))]. 50107 x \ ((y \ i(x)) * ((x * (y * x)) * (x * z))) = y * ((y \ i(x)) * ((x * x) * z)). [para(2155(a,1),269(a,1,1)),rewrite(2155(6),3326(7),3431(7),17488(8),16012(9),926(3),1171(2),1936(3),23934(8),2155(13),42662(15),11070(14))]. 50229 ((i(x) * y) \ (((x / z) * y) \ x)) \ (i(x) * ((x / y) * z)) = (z \ x) / ((z \ x) * (y \ x)). [para(308(a,1),2162(a,1,1,2)),rewrite(308(6),24353(6),308(10),20194(18))]. 50318 (x \ (x \ y)) \ (y * y) = y \ ((x * (x * y)) * y). [para(2190(a,1),1490(a,1,2)),rewrite(33903(5),37(3),11139(3),1055(4),11237(3),3326(4),300(7),916(7),36420(10),8(9))]. 50880 (x \ (x / (y * (z / x)))) / ((y * x) * (x \ z)) = (x * (y * (z / x))) \ ((z / x) \ i(y)). [para(1446(a,1),2580(a,1,2)),rewrite(2869(4),3122(4),362(7),202(6),1554(11)),flip(a)]. 51176 (x / (x / y)) \ y = (y / x) \ (x \ y). [para(27(a,1),403(a,1,2,2)),rewrite(2(4),300(6),20076(7))]. 51185 (x / (x / (y / (y / x)))) \ (x * ((y / x) * z)) = x * ((y / x) * (x \ z)). [para(845(a,1),403(a,1,2,2,1)),rewrite(3501(5),46745(6),3501(11),32470(12))]. 51248 x / ((y / x) \ (x * y)) = (y / x) \ (x \ (y / x)). [para(3646(a,1),403(a,1,2,2)),rewrite(35955(5),22389(3),5825(8))]. 51250 ((x / y) / x) \ (x * (y * x)) = (y \ (y \ i(x))) \ x. [para(3987(a,1),403(a,1,2)),rewrite(305(2),674(3),16012(7),305(5),2286(6),11143(6),4(6),305(7),42652(10))]. 51322 ((x / y) \ y) * (y \ (y \ x)) = (x / y) \ (i(y) * x). [para(21566(a,1),403(a,1,2,2)),rewrite(429(3),2253(3),37(3),2(5),429(7),2253(7)),flip(a)]. 51421 x * ((y / z) \ (z \ y)) = ((z / (z / y)) / x) \ y. [back_rewrite(40634),rewrite(51176(3))]. 51441 ((x / y) \ (y \ x)) / y = (x / y) \ (y \ (x / y)). [back_rewrite(33796),rewrite(51176(3))]. 51491 x * (((y * z) / y) \ z) = (((y * z) / y) / x) \ z. [back_rewrite(3909),rewrite(51421(7),570(4),23027(5),3(6),51421(10),570(8))]. 51502 x * (((y / z) * (y * z)) \ y) = (((y / z) / y) \ (y / x)) \ z. [back_rewrite(49089),rewrite(51491(6),427(5),203(3),202(2),630(3)),flip(a)]. 51567 (x \ ((x / y) \ y)) \ (y \ x) = y \ ((y / x) \ ((y / x) \ x)). [para(370(a,1),2782(a,1,2,1)),rewrite(10030(4),33(6),16012(5),9288(4),10030(11),21766(11)),flip(a)]. 51636 i(x) * (y \ (y / x)) = y * ((x * y) \ i(x)). [para(2782(a,1),276(a,1,1)),rewrite(37840(4),201(7),1171(7)),flip(a)]. 51639 (x \ y) * (y \ i(x)) = i(x) * (y \ (y / x)). [para(2782(a,1),278(a,1,1)),rewrite(47391(4),309(9),6(8))]. 51673 (x \ y) * (((x * y) \ y) \ z) = (y \ (y / x)) \ ((x \ y) * z). [para(2782(a,1),402(a,1,1,1)),rewrite(926(4),1395(4)),flip(a)]. 51724 (i(x) * y) \ (y \ ((y / x) \ x)) = y \ ((y / x) \ ((y / x) \ x)). [back_rewrite(21766),rewrite(51567(11))]. 51730 (x \ y) * ((y \ (x * (x * y))) * z) = x * ((y \ (y / x)) \ ((x \ y) * z)). [back_rewrite(21734),rewrite(51673(11))]. 51836 (x \ y) * (y \ (x * (y * x))) = y * x. [para(3(a,1),3025(a,2,1)),rewrite(42105(5),42541(5),17488(4))]. 51837 ((x \ y) \ y) * x = y \ ((x * y) * x). [para(3025(a,1),4(a,1,2)),flip(a)]. 51901 i(x) * (y / (y \ x)) = x \ (y / (y \ x)). [para(3025(a,1),4970(a,1,2)),rewrite(2272(3),306(8),40(7),1602(6),11125(8)),flip(a)]. 51936 x * (y / (y \ x)) = ((x / y) / x) \ y. [para(3025(a,1),1268(a,1,2)),rewrite(2272(3),306(8),40(7),1602(6),4297(8),4001(8),17206(7),47475(6))]. 52265 (x \ y) \ (y \ ((y / ((y / x) * z)) \ ((y / x) * z))) = (z \ y) \ (((y / z) * x) \ y). [para(423(a,1),3438(a,1,1)),rewrite(24277(7),24283(6),3709(15),664(14),30773(14),10014(14)),flip(a)]. 52268 i(x) * ((x / ((x / y) * z)) * z) = (z \ x) / ((z \ x) * (y \ x)). [para(423(a,1),916(a,1,2)),rewrite(202(5),188(4),308(6),308(12),24353(12),50229(17))]. 52890 (x \ y) * (z * i(x)) = x \ ((y * z) / x). [para(8(a,1),428(a,1,2)),rewrite(2577(5),2224(6),38(6)),flip(a)]. 52891 (x * (i(y) \ z)) \ y = z \ ((x * y) \ y). [para(428(a,1),202(a,1,1)),rewrite(202(4),300(3),916(3),188(8)),flip(a)]. 52917 i(x) * (y * (z * x)) = (z \ (y \ x)) \ x. [para(610(a,1),428(a,1,2,2)),rewrite(188(3),305(10),202(9),188(8),33903(9),37(7))]. 52932 (x \ (((i(x) \ y) / (z * z)) \ x)) * y = x \ (z * z). [para(3449(a,1),428(a,1,2)),rewrite(3987(3),32474(8),34568(8)),flip(a)]. 52949 (x \ ((y * y) \ x)) * z = x \ ((y * y) \ (x * z)). [para(4341(a,1),428(a,2,1,1)),rewrite(5014(6),30758(6),3987(3),305(4),300(3),202(2),5014(3),10085(3),23243(4),10087(7)),flip(a)]. 52981 (x \ (((i(x) \ y) / z) \ x)) * y = (i(y) \ x) \ ((y * x) / (z \ x)). [para(1282(a,1),428(a,1,2)),rewrite(300(6),16765(9),305(2),30826(8),277(4),16938(7),300(9),34592(12),305(8)),flip(a)]. 53159 x / (x \ (y * (i(z) \ x))) = z \ (i(y) * x). [back_rewrite(5984),rewrite(52891(6),1282(3),3326(4),30828(4),1602(3),1008(3)),flip(a)]. 53245 (i(x) \ y) \ ((x * y) / ((z * z) \ y)) = y \ (z * z). [back_rewrite(52932),rewrite(52981(7))]. 53346 x * (((x \ y) / x) * z) = y * (i(x) * z). [para(3431(a,1),276(a,1,1,2)),rewrite(202(6),4284(7),46698(6),523(3),202(5),4284(6),3932(8),926(7),1378(8),5829(7)),flip(a)]. 53462 (x / (y * y)) * z = x * ((y * y) \ z). [back_rewrite(16868),rewrite(53346(6),402(6),4970(3)),flip(a)]. 53641 (x * y) \ (x / (z / x)) = (y \ x) / z. [back_rewrite(22329),rewrite(53462(3),651(6),7668(3),374(4)),flip(a)]. 53688 ((x * y) \ z) \ (i(z) * y) = z \ (x / ((y \ z) / y)). [back_rewrite(40162),rewrite(53641(4)),flip(a)]. 53692 ((x / y) * z) \ i(y) = (z \ y) / (y * x). [back_rewrite(22213),rewrite(53641(5)),flip(a)]. 53703 ((x * (y \ (z * y))) * ((x / y) * z)) \ ((x / y) * z) = (z \ y) / (y * x). [back_rewrite(4834),rewrite(53692(13))]. 53932 (x * y) * (x * ((x \ z) * y)) = x * (y * (z * y)). [para(241(a,1),3434(a,1,2)),rewrite(36026(7),36358(7),30968(5),202(2),2278(3),3709(11),16809(12)),flip(a)]. 53977 x * (y * (x \ (z * x))) = ((z \ x) / (x * y)) \ x. [para(1194(a,1),3434(a,1,2)),rewrite(53703(9),3709(13),17488(12),39999(14)),flip(a)]. 53984 i(x) \ (y \ (z * (z * y))) = x / (y \ (z \ (z \ y))). [para(352(a,1),3434(a,1,1,1)),rewrite(374(6),47065(4),17204(8),3499(8),16012(5),1171(3),1055(4),38(3),11175(3),33903(10),37(8),11139(8)),flip(a)]. 54013 x * (((x \ y) * z) * (x * ((x \ y) * z))) = x * ((y \ x) \ (z * (y * z))). [back_rewrite(20144),rewrite(53932(7),30813(6)),flip(a)]. 54086 x \ (x / ((y \ x) / (x * z))) = i(x) \ ((z / x) * y). [back_rewrite(2880),rewrite(53977(4),926(5))]. 54259 x \ ((((x \ i(y)) \ z) * (y * y)) \ (y * x)) = (y * x) \ (x / (i(z) \ (y * x))). [para(430(a,1),494(a,2,2)),rewrite(426(7),202(5),300(4),300(10),188(9),25264(9),3326(6),9106(6),427(16),300(11),188(10))]. 54423 ((((x \ i(y)) \ z) * y) / ((y * x) \ (y \ (i(z) * (x \ i(y)))))) \ ((y \ (i(z) * (x \ i(y)))) \ (y * x)) = (y * x) \ (x / (i(z) \ (y * x))). [para(430(a,1),3248(a,2,2)),rewrite(362(11),202(10),300(9),426(19),202(17),300(16),427(28),300(23),188(22))]. 54488 (x \ (y * (x * y))) * (y \ x) = x \ ((y * x) * x). [para(3457(a,1),3471(a,1,2)),rewrite(3709(4),11125(5),16292(4),42650(9),11125(10),52917(9),3326(8),3431(8))]. 54848 (x * y) * ((x \ (x / y)) * ((x * x) \ z)) = i(y) * ((y / x) * z). [para(3501(a,1),308(a,2,2,1)),rewrite(845(3),203(4),594(4),850(5),203(7),594(7),53462(10),39(11),1133(7)),flip(a)]. 54906 (x * y) * ((x * x) \ z) = x * ((y / x) * (x \ z)). [para(3501(a,1),403(a,1,1,2)),rewrite(46745(6),845(7),51185(8),3501(7),53462(8)),flip(a)]. 55212 (x \ y) / (y \ (x * (x * y))) = y \ ((x / (y / x)) \ (x \ y)). [para(3626(a,1),3462(a,1,1)),rewrite(300(5),202(4),1055(5),847(5),42105(5),3932(2),16012(11),5(8)),flip(a)]. 55238 (i(x) * y) \ (z \ ((z / x) \ x)) = (y \ x) / (x \ ((x / z) \ z)). [para(308(a,1),3626(a,1,1,2)),rewrite(20454(7),22197(5),21112(10),300(6),52268(6),30968(9),300(3),10030(5),11246(5),16012(10),1146(9)),flip(a)]. 55351 (x \ y) / (y \ ((y / x) \ x)) = x \ ((x / y) \ ((x / y) \ y)). [back_rewrite(51724),rewrite(55238(6))]. 55352 (((x / y) * z) \ x) / (x \ ((x / y) \ y)) = (i(x) * z) \ (y \ x). [back_rewrite(24262),rewrite(55238(8))]. 55434 (x / (x / y)) \ (x / (y / x)) = ((y / x) \ x) / y. [back_rewrite(25221),rewrite(55351(5),3(6),22931(5),854(2))]. 55632 x / ((x * (y \ (y / z))) / (y * y)) = (x * (y * (y * z))) / x. [para(3705(a,1),42(a,1,1,2)),rewrite(45623(6))]. 55766 (x * (y * (y * x))) / x = (x * y) * y. [back_rewrite(48502),rewrite(55632(6))]. 55806 (x \ y) * ((z \ y) \ (((y / z) * x) \ y)) = y \ ((y / ((y / x) * z)) \ ((y / x) * z)). [para(308(a,1),3709(a,1,1)),rewrite(308(8),3709(9),664(8),30773(8),10014(8),308(14),24277(15),24283(14)),flip(a)]. 55827 x * ((x \ i(y)) * ((y / z) \ z)) = x * ((i(y) \ x) \ ((y / z) \ z)). [para(363(a,1),3709(a,1,1)),rewrite(363(8),3709(9),54013(9),664(5),363(13),53932(14),664(11),363(12)),flip(a)]. 56028 (((x * y) * x) / (x \ (y \ x))) / ((x * y) * x) = x / (x / y). [para(3737(a,1),1739(a,1,1)),rewrite(3737(6),1490(5),2253(4),3932(4),926(3),1390(3)),flip(a)]. 56029 ((x * y) * x) / (x / (x / y)) = x / ((x * y) / (y * (x * x))). [para(3737(a,1),1744(a,1,1,2)),rewrite(42650(4),48445(7),35(3),2(4),19720(5),56028(15)),flip(a)]. 56069 (x \ i(y)) \ ((y * z) * x) = (((y * x) * y) * z) * x. [para(3771(a,1),8(a,1,1)),rewrite(11571(6))]. 56166 x * ((i(y) \ x) \ ((y / z) \ z)) = x * ((x \ ((y \ z) / y)) * z). [para(363(a,1),3771(a,1,1,1)),rewrite(32467(7),21513(4),47895(6),39(5),363(12),53932(13),664(10),363(11),55827(11)),flip(a)]. 56229 x * ((x \ i(y)) * ((y / z) \ z)) = x * ((x \ ((y \ z) / y)) * z). [back_rewrite(55827),rewrite(56166(12))]. 56662 (x * (y * x)) * ((x / y) / x) = (x * (y * x)) / ((x * y) / x). [para(3854(a,1),1055(a,1,1)),rewrite(6035(9),1391(8),2218(9),362(8),32481(11))]. 56696 ((x * y) * y) * x = x * (y * (y * x)). [para(3854(a,1),5023(a,1,2)),rewrite(203(3),203(2),319(3),39(5),4(2),40211(8),1602(7),38(6),22073(6),3439(8)),flip(a)]. 56726 (x \ (x \ i(y))) \ y = y * (x * (x * y)). [para(3854(a,1),4007(a,2,2)),rewrite(203(3),203(2),319(3),203(5),203(4),319(5),39(6),4(4),39(5),4(2),51250(8)),flip(a)]. 56744 (x \ ((y / z) / y)) * (y * y) = ((y * y) \ x) \ ((z * y) \ y). [para(3854(a,1),1010(a,1,2,1)),rewrite(3457(6)),flip(a)]. 56859 ((x / y) / x) \ (x * (y * x)) = x * (y * (y * x)). [back_rewrite(51250),rewrite(56726(9))]. 57075 (x * x) * ((y / x) * z) = x / ((z \ x) / (x * y)). [para(1195(a,1),3959(a,1,2)),rewrite(53977(8),37(9))]. 57559 ((x * y) * (y \ z)) \ y = z \ (i(x) * y). [para(51(a,1),4013(a,2,1)),rewrite(42650(4),39(3),1055(2),1602(3),930(3),53159(5)),flip(a)]. 57595 ((x / y) \ (x / z)) / x = (x \ ((x * y) / z)) / x. [para(276(a,1),4013(a,2,1)),rewrite(673(7),4284(7),42671(6),19699(6),277(5),203(4),2218(5),20452(10)),flip(a)]. 57597 x / (x \ (y * (z \ x))) = z / (x \ y). [para(279(a,1),4013(a,2,1)),rewrite(42650(5),363(4),1055(3),847(3),3(3),57559(9),375(8))]. 57673 x \ (((x * y) / z) * x) = y / (x \ z). [back_rewrite(23853),rewrite(57559(5),375(4)),flip(a)]. 57686 (x / y) * (x \ z) = x / (z \ (x * y)). [back_rewrite(37118),rewrite(57597(5)),flip(a)]. 57803 (x \ y) * ((y * y) \ z) = (x \ i(y)) * z. [back_rewrite(24263),rewrite(57686(4),304(5),300(3),202(2)),flip(a)]. 57804 x * (y \ (x * y)) = x / (y \ (x \ y)). [back_rewrite(23659),rewrite(57686(6),3(4),847(3)),flip(a)]. 57868 (x * x) \ ((x / y) * z) = (x \ i(y)) * z. [back_rewrite(25512),rewrite(57803(5),16012(4),277(2),3(5)),flip(a)]. 57869 i(x) * (y * (x \ z)) = (x \ (y / x)) * z. [back_rewrite(12999),rewrite(57803(5),2530(3)),flip(a)]. 57885 (((x / y) \ y) \ (((x / y) \ y) / x)) * ((y \ (x / (x * y))) \ x) = y / (x \ (y \ x)). [back_rewrite(47642),rewrite(57804(14))]. 57924 (x / (y \ (x \ y))) / ((y / x) \ x) = (y / x) \ ((x * y) / ((y / x) \ x)). [back_rewrite(47452),rewrite(57804(3))]. 57967 (x \ (y * y)) * ((y * y) \ z) = i(x) * z. [back_rewrite(24264),rewrite(57868(10),203(7),4(8))]. 57978 ((x * (y / z)) \ z) \ z = (z \ x) * y. [back_rewrite(2163),rewrite(57869(5),5(2)),flip(a)]. 57979 (x \ (y / x)) * (z * x) = (((y / x) * z) \ x) \ x. [back_rewrite(2160),rewrite(57869(5))]. 57991 ((x * y) * (y \ z)) \ ((x * (z / y)) * ((x * y) * (y \ z))) = (y \ x) * z. [back_rewrite(35611),rewrite(57978(14))]. 58102 x \ ((y / (x / y)) \ (y \ x)) = y \ (y \ (y \ x)). [para(3(a,1),4017(a,1,2,1)),rewrite(3326(2),42105(5),3932(2))]. 58258 (x \ y) / (y \ (x * (x * y))) = x \ (x \ (x \ y)). [back_rewrite(55212),rewrite(58102(10))]. 58439 (((x / y) * z) * (z \ (y * (z * u)))) / (((x / y) * z) * u) = (x * z) / ((x / y) * z). [para(990(a,1),480(a,1,2,1)),rewrite(23243(6),17488(8),37127(8),990(15))]. 58545 (x / (y / (y \ x))) \ (y \ (x / y)) = (x / y) \ ((x / y) \ ((y \ x) / y)). [para(854(a,1),4090(a,2,2,1)),rewrite(40211(3),1602(2),13211(3),3254(11))]. 58621 (x \ (y * (y * x))) \ (y * x) = x \ (y \ (y \ ((x * y) * x))). [para(1167(a,1),4090(a,1,2)),rewrite(16012(5),5(2),2198(12),42105(13),523(10),48808(12),42105(12),5(7))]. 58714 (x / (y / x)) \ (y / (y / (x * x))) = (x / y) \ ((y \ x) \ (x / (y / x))). [para(4291(a,1),196(a,2,2)),rewrite(203(3),3500(3),1146(3),3932(2),1055(6),33661(6)),flip(a)]. 58720 x \ (((y / x) / x) \ (x / y)) = x / ((x / y) \ y). [para(1603(a,1),4291(a,1,2,2)),rewrite(926(4),57686(5),3(3),16012(10),1146(9),20493(11),1172(8),17195(9),203(6),2576(6),42105(8)),flip(a)]. 58729 (x * i(y)) \ (i(x) \ y) = (y * (y * x)) / x. [para(794(a,1),4291(a,1,2,2)),rewrite(305(5),203(4),202(3),630(4),1106(4),40278(4),42569(10),6(8),22135(8),22107(9),427(8),203(5),305(7)),flip(a)]. 58737 x * ((y * x) \ i(y)) = x / (y * (y * x)). [para(930(a,1),4291(a,1,2,2)),rewrite(6232(5),16012(9),926(6),1520(8),11105(8))]. 58739 x / (y \ (y \ x)) = (x / y) \ (x * y). [para(1008(a,1),4291(a,1,2,2)),rewrite(429(5),300(3),202(2),1055(3),847(3),42105(4),926(2),42536(4),30826(4),16012(8),5(5),11087(7)),flip(a)]. 58866 ((x / y) \ ((y \ x) \ (x / (y / x)))) * z = y * ((x * x) \ ((y / (y * (x * x))) \ z)). [back_rewrite(25680),rewrite(58714(6))]. 58869 i(x) * (y \ (y / x)) = y / (x * (x * y)). [back_rewrite(51636),rewrite(58737(8))]. 58870 (x \ i(y)) * (y / x) = y / (x * (x * y)). [back_rewrite(47390),rewrite(58737(8))]. 58877 x \ ((x / y) \ (x * y)) = (i(y) * x) \ y. [back_rewrite(24175),rewrite(58739(3))]. 58914 (x \ y) * (y \ i(x)) = y / (x * (x * y)). [back_rewrite(51639),rewrite(58869(8))]. 58945 (x / (y / x)) * z = x / ((z \ y) / x). [para(4293(a,1),241(a,1,1)),rewrite(58714(8),58866(9),4283(10),57967(9),30773(6),1133(3),3676(3),4341(5),11641(4),4(5)),flip(a)]. 59246 ((x * x) * y) * i(z) = x / ((z / y) / x). [back_rewrite(11634),rewrite(58945(5),38(3)),flip(a)]. 59790 (x \ (x / y)) \ ((x * z) \ (x / y)) = (x / y) \ (x / (y * z)). [para(446(a,1),482(a,1,1,2)),rewrite(2(4),427(6),202(3),274(3),594(9),427(12),202(10),202(9),274(9),32474(10)),flip(a)]. 60524 (x \ (y / (x * x))) * ((x * z) * x) = x \ ((y / x) * (z * x)). [para(4455(a,1),246(a,2,1)),rewrite(12591(4),16012(7),8346(4),57979(6),1490(8),2253(7),926(5),3326(6),3439(6),50(4),16012(4)),flip(a)]. 60623 (x / (y * (y * y))) * (y * ((y * z) * y)) = (x / y) * (z * y). [back_rewrite(22456),rewrite(60524(13),3(12))]. 61214 (x \ (y \ (x * x))) * ((x * x) \ (y * ((x * x) * z))) = x \ (y * ((y \ x) * (x * z))). [para(4517(a,1),39(a,1,1)),rewrite(17488(7),3618(5),3326(12),36006(12),3438(11),3431(11),12597(13)),flip(a)]. 61218 (x \ ((y / x) \ (y / (z / y)))) \ (y * y) = (((z * y) * x) * (x \ y)) / y. [para(4517(a,1),51(a,1,1,2)),rewrite(45844(7),3326(13),36006(13),3438(12),3431(12),12598(14),40261(10),22994(9)),flip(a)]. 61237 (x \ (y \ (x * x))) * z = x \ ((y \ x) * (x * z)). [para(4517(a,1),241(a,1,1)),rewrite(3326(9),36006(9),3438(8),3431(8),12597(10),61214(11),42105(8),5(2),4(5)),flip(a)]. 61249 x / ((x / y) \ (x / z)) = x / (x \ ((x * y) / z)). [para(276(a,1),4517(a,2,2)),rewrite(673(7),17181(8),277(7),203(6),59246(6),22994(3),57595(4),5129(5),1182(6),203(4),203(3),202(2),23930(5),20481(10)),flip(a)]. 61363 i(x) * ((x / (x \ ((x * y) / z))) * u) = (z * (y \ x)) * (i(x) * u). [back_rewrite(34718),rewrite(61249(5))]. 61484 ((x \ (i(y) * (z \ i(x)))) \ (x * z)) / ((x * z) \ (z / (i(y) \ (x * z)))) = (((z \ i(x)) \ y) * x) / ((x * z) \ (x \ (i(y) * (z \ i(x))))). [para(430(a,1),4688(a,1,2,2)),rewrite(426(7),202(5),300(4),427(15),300(10),188(9),362(25),202(24),300(23))]. 61595 (x * y) * (y * x) = x * (y * (y * x)). [para(786(a,1),4709(a,2,1,2)),rewrite(3457(6),40661(5),837(3),1466(4),674(6),56859(8))]. 61602 ((x * y) \ (x / y)) \ (x * x) = ((y * x) \ i(y)) \ x. [para(930(a,1),4709(a,2,1,2)),rewrite(16012(5),926(2),1520(4),6904(5),22931(3),6232(10))]. 61809 ((x * y) \ (x * z)) \ (y \ (z * x)) = x. [para(28(a,1),506(a,2,1)),rewrite(202(2),363(6),363(5),21746(6),202(6),21513(8),202(5),271(5),188(3),202(9),210(10),305(9),187(8),33(8))]. 61815 (x * (y \ (z * (y * u)))) / (x * u) = (y / x) \ ((z * y) / x). [para(210(a,1),506(a,2,1,2)),rewrite(363(7),19409(7),17220(12),202(9),274(9))]. 61817 (x * (y * z)) / (x * y) = x / (x * ((y / z) / y)). [para(506(a,1),274(a,2)),rewrite(202(5),19868(5),202(6),16949(7),3(4)),flip(a)]. 61833 ((x * y) \ z) \ (x \ z) = z \ (((x / y) / x) \ z). [para(673(a,1),506(a,1,2)),rewrite(24835(6),426(7),300(5),203(4),203(3),202(2),630(3),877(6),1133(4),1055(5),38(4),429(10),202(8),188(7)),flip(a)]. 62312 (x * y) / ((x / z) * y) = y \ ((y * x) / (x / z)). [back_rewrite(58439),rewrite(61815(10),1171(3),33203(8),6(2)),flip(a)]. 62376 i(x) * (y * (z * (y \ x))) = x \ (((y / z) / y) \ x). [back_rewrite(32692),rewrite(61833(9))]. 62420 x \ ((x * y) / (y / (y \ z))) = (z * x) * (x \ i(y)). [back_rewrite(35987),rewrite(62312(5))]. 63480 (x / y) * (y / x) = x * (y \ (y / x)). [para(4732(a,1),51(a,1,1)),rewrite(3438(7),40211(6),1602(5),13211(6),22173(7),48046(8),1372(7))]. 63552 (x * i(y)) * (((x * i(y)) \ z) * (x \ (x / y))) = ((z * x) / (y \ x)) / (y * y). [para(4732(a,1),430(a,2,1,2)),rewrite(300(5),203(4),1282(5),4715(6),300(7),203(6),1282(7),4715(8),203(15),3500(15),42663(15),37227(13))]. 63589 i(x) \ (y \ (y / x)) = x * (y \ (y / x)). [back_rewrite(41950),rewrite(63480(7))]. 63593 (x \ (x / y)) * y = y * (x \ (x / y)). [back_rewrite(41899),rewrite(63480(6))]. 63721 (x * y) / ((y / x) \ x) = ((x / y) / x) \ (y / x). [para(4734(a,1),321(a,1,1,2)),rewrite(854(2),23999(4),40636(7),32506(8)),flip(a)]. 63794 (x / (y \ (x \ y))) / ((y / x) \ x) = (y / x) \ (((x / y) / x) \ (y / x)). [back_rewrite(57924),rewrite(63721(11))]. 64999 x \ ((y \ (((y * z) / y) \ x)) \ x) = ((x * x) \ y) * (z * x). [para(5020(a,1),40(a,2,2,2)),rewrite(25431(6),46621(6),16012(10),523(6),62376(5),33903(7),930(5),203(3),203(2),319(3))]. 65373 (x \ ((x / y) \ y)) \ (z * (x \ y)) = (x \ y) \ ((z \ (x \ y)) \ (x \ y)). [para(517(a,1),4297(a,1,2)),rewrite(202(3),188(2),3709(11),664(10),30773(10),10014(10),11708(12)),flip(a)]. 65594 (x / ((x * y) / x)) \ ((x * x) * z) = (x * x) * ((y \ x) \ z). [para(5139(a,1),402(a,1,1,1)),rewrite(4074(5),46570(4))]. 65601 (((x * y) \ z) / (y \ ((y / z) \ z))) \ (y \ z) = (x \ ((z / y) \ y)) \ z. [para(511(a,1),5139(a,1,2)),rewrite(16012(3),1146(2),33903(6),9947(4),16012(9),1146(8)),flip(a)]. 66376 (x / (x * y)) \ ((y / x) \ i(z)) = (y / x) \ (y / z). [para(519(a,1),202(a,1,1)),rewrite(202(5),202(4),274(4),202(8)),flip(a)]. 66430 (x * ((y / z) * (x * (y / z)))) * (z / (z * y)) = (((x * (y / z)) * x) * i(y)) * (y / z). [para(519(a,1),4297(a,1,2)),rewrite(202(3),56069(8),3709(12)),flip(a)]. 66439 (x / y) \ (((((z * (x / y)) * z) * i(x)) \ z) \ (x / y)) = (z * i(x)) * (x / y). [para(519(a,1),9304(a,2)),rewrite(202(3),3709(8),66430(11),35950(11))]. 66638 x * ((y / (y / x)) \ (y / z)) = (x / (x / y)) / z. [back_rewrite(17001),rewrite(66376(7),30758(6),6(2))]. 66785 ((x * (y * (x * x))) * (x \ z)) / x = (x * (y * x)) * (z / x). [para(5373(a,1),1446(a,1,1,1))]. 67437 (x \ (y * y)) * (y \ (y \ (z * y))) = y \ (((y / x) * z) * y). [para(3438(a,1),525(a,1,1)),rewrite(308(10),196(11))]. 67721 ((x / y) \ (x / z)) \ (y * y) = y \ (((y / (x / z)) * x) * y). [back_rewrite(46196),rewrite(67437(7)),flip(a)]. 67794 (x \ (((x / (y / z)) * y) * x)) / (x \ y) = z * (x / (x \ y)). [back_rewrite(46019),rewrite(67721(5))]. 68024 ((x \ y) * z) \ (((x \ y) * z) / x) = (y * (z / x)) \ ((y * (z / x)) / x). [para(1446(a,1),5464(a,2,2)),rewrite(57559(4),45942(8),1171(8),19869(7),271(7),22369(8),1495(12))]. 68982 x \ ((y * (((i(x) * y) \ z) * x)) * (y \ x)) = z * ((y / x) \ x). [para(556(a,1),317(a,1,1)),rewrite(202(9),188(8),45543(8),13052(4),16012(5),2038(3),25674(3),40431(3),40651(4),376(12),202(11),300(10),376(13),300(12),300(10),202(9),188(8),694(11)),flip(a)]. 69054 ((x * x) * (y / (i(z) \ ((x * x) * y)))) \ y = (x / (z / x)) \ ((x * x) * y). [para(4284(a,1),556(a,1,1)),rewrite(277(3),202(2),4284(7),277(6),202(5),34265(9),21107(6),4341(8),4341(12),5014(15),37444(16),22197(16),5(11),4299(11))]. 69111 ((i(x) \ y) / z) \ x = (z / x) * (x / y). [para(1393(a,1),556(a,2,1,2)),rewrite(300(3),203(2),1282(3),52890(7),201(4),188(2),35(1),24(2),300(4),203(3),1282(4),52890(8),201(5),188(3),35(2),24(3),57869(7),2038(3),845(3),9276(13),9199(11),40282(8),305(5)),flip(a)]. 69325 (i(x) \ y) \ ((x * y) / (z \ y)) = (y \ ((z / y) * (y / x))) * x. [back_rewrite(52981),rewrite(69111(4)),flip(a)]. 69363 (x \ (y / (z / y))) * z = x \ (y * y). [back_rewrite(53245),rewrite(69325(7),3932(2),58945(4),38(2))]. 69380 (x * y) \ (z * z) = y \ (x \ (z * z)). [back_rewrite(36009),rewrite(69363(4)),flip(a)]. 69417 (x \ y) * (z * z) = x \ (y * (z * z)). [back_rewrite(9106),rewrite(69380(4),3420(3)),flip(a)]. 69418 (x / y) * (z * z) = x / ((z * z) \ y). [back_rewrite(9102),rewrite(69380(4),17217(4)),flip(a)]. 69469 ((x * x) \ y) \ ((z * x) \ x) = y \ (x / (x \ z)). [back_rewrite(56744),rewrite(69417(5),39(4),1055(3),38(2),1602(2)),flip(a)]. 69476 (x * y) \ (y / (i(z) \ (x * y))) = y \ ((x * x) \ i(z)). [back_rewrite(54259),rewrite(69417(5),368(7),202(3)),flip(a)]. 69573 (((x \ i(y)) \ z) * y) / ((y * x) \ (y \ (i(z) * (x \ i(y))))) = ((x \ i(y)) * (y \ (i(z) * (x \ i(y))))) \ (z * ((y * y) * x)). [back_rewrite(61484),rewrite(69476(13),21107(12),300(8),202(2),42662(11)),flip(a)]. 69574 ((x * x) * y) \ i(z) = y \ ((x * x) \ i(z)). [back_rewrite(54423),rewrite(69573(12),20552(20),202(4),69476(10))]. 69668 (x * (y * (z / x))) \ ((z / x) \ i(y)) = (y * (z / x)) \ (((i(x) \ y) * z) \ x). [para(1446(a,1),5837(a,1,1)),rewrite(1554(6),1936(7),202(6),30877(7),305(4),1554(11),50880(15)),flip(a)]. 69698 (x \ (x / (y * (z / x)))) / ((y * x) * (x \ z)) = (y * (z / x)) \ (((i(x) \ y) * z) \ x). [back_rewrite(50880),rewrite(69668(15))]. 69787 (x / (x \ y)) * z = x / ((x * z) \ y). [para(5845(a,1),241(a,1,1)),rewrite(33799(8),15551(6),35761(7),57686(8),3(6),38(5),1390(5)),flip(a)]. 69833 (x \ (y / (x * x))) * (z * x) = x \ ((z \ (x / (y / x))) \ x). [para(5845(a,1),352(a,2,2,2)),rewrite(32392(8),203(11),2576(11),16012(11),22931(8),53641(8),47021(6),45148(8),6(6),33903(4),300(9),2266(9),9253(8)),flip(a)]. 69971 (x * (y \ i(z))) * (z * u) = (x * (y \ z)) * (i(z) * u). [back_rewrite(61363),rewrite(69787(6),304(7),300(5),203(3),202(2))]. 70062 x / (y \ (x * y)) = ((x * y) / x) \ y. [back_rewrite(33349),rewrite(69787(5),7668(3),892(3))]. 70086 (x / y) * (x / (x / z)) = x / (x * ((x * z) \ y)). [back_rewrite(24754),rewrite(69787(3),594(5)),flip(a)]. 70154 x \ ((y / x) * (z * x)) = x \ (((z \ x) / y) \ x). [back_rewrite(60524),rewrite(69833(6),53641(4)),flip(a)]. 70207 (x * y) \ ((y \ i(x)) \ z) = (y \ x) \ ((i(x) * y) \ z). [back_rewrite(22541),rewrite(69971(5),22582(5)),flip(a)]. 70419 (x \ i(y)) * ((y * x) * z) = (x \ y) \ ((i(y) * x) \ z). [back_rewrite(22550),rewrite(70207(10))]. 70813 (x / y) / ((x / y) / ((y * z) / y)) = ((x * z) * (x \ y)) / y. [para(319(a,1),597(a,2,2,2)),rewrite(52890(4),3(4),39(5),40276(5)),flip(a)]. 70852 (x * ((y * x) * z)) * (i(y) * i(x)) = (i(x) \ y) / ((i(x) \ y) / (x * z)). [para(786(a,1),597(a,2,1)),rewrite(4(3),202(6),630(7),1171(5),1391(6),786(12))]. 70854 x \ ((x * y) * (x \ (z * x))) = ((x \ z) \ i(y)) \ x. [para(794(a,1),597(a,2,1)),rewrite(3006(6),40(8),3037(8),203(9),39(10),4(7),27(7),2(7),1055(6),299(5),202(3),794(9),40(9),277(10),202(9),657(9),277(10),300(9),300(8),203(7),203(6),319(7),40(7),1223(8)),flip(a)]. 71215 i(x) * (((y \ z) \ i(x)) \ y) = (x * ((x \ i(y)) * z)) * y. [back_rewrite(23331),rewrite(70854(6))]. 71476 (i(x) * y) \ ((y \ x) / ((y \ x) \ z)) = (x \ ((x / y) \ y)) \ (z \ (y \ x)). [para(374(a,1),6035(a,2,2,1)),rewrite(3709(5),664(4),30773(4),10014(4),429(7),188(5),429(13),203(11),300(10),5976(13)),flip(a)]. 71666 (x / y) * (z * y) = ((z \ y) / x) \ y. [para(6052(a,1),246(a,2,2)),rewrite(817(2),817(4),22400(5),16012(8),8346(5),57979(7),42662(9),1490(8),2253(7),926(5),3326(6),3439(6),50(4),16012(4),70154(4),3(5),817(5),60623(10)),flip(a)]. 71707 (x / ((y * y) * z)) * y = (x * y) / ((y * z) * y). [para(6052(a,1),990(a,1,2,2)),rewrite(4(5)),flip(a)]. 71865 (((x / y) / x) \ (x / z)) \ y = z * (y \ (x \ y)). [back_rewrite(51502),rewrite(71666(3),33698(4)),flip(a)]. 71948 (((x * x) * y) / z) \ x = (y / z) \ i(x). [back_rewrite(23877),rewrite(71707(4),49292(6),837(4),32467(4),929(4)),flip(a)]. 72843 (x \ y) \ ((x * z) \ y) = y \ ((x / (x / z)) \ y). [para(6686(a,1),511(a,1,1,1)),rewrite(32682(6),6(2),32474(8)),flip(a)]. 72973 (x / y) \ ((x / (x / z)) \ (x / y)) = (x / y) \ (x / (y * z)). [back_rewrite(59790),rewrite(72843(6))]. 73157 ((x \ y) / x) / (((x \ y) / x) / z) = x \ (((y / x) * z) * ((y / x) \ x)). [para(2218(a,1),602(a,1,1,1)),rewrite(202(6),274(6),1146(5),26893(6),2218(9),2218(11)),flip(a)]. 73311 (x / (y \ ((y / z) \ z))) \ (y \ z) = (z \ ((z / y) \ y)) \ (x \ (y \ z)). [para(6751(a,1),374(a,2)),rewrite(300(7),203(5),2272(7),71476(7),16012(9),1146(8)),flip(a)]. 73414 (((x / y) \ y) \ z) * x = (z \ ((x / y) \ y)) \ x. [back_rewrite(65601),rewrite(73311(8),511(7),1010(6))]. 73452 (x * y) * (z \ x) = x / (x \ (z / y)). [para(4(a,1),6786(a,1,2,2,2)),flip(a)]. 73455 (x / y) / ((x / y) \ (z / y)) = x * (z \ (x / y)). [para(38(a,1),6786(a,1,2,2,2))]. 73462 ((x \ y) * i(z)) * x = i(x) * (y * (z \ x)). [para(6786(a,1),304(a,1,2)),rewrite(300(8),203(7)),flip(a)]. 73492 (x * i(y)) * (y / z) = y / (z / (y \ x)). [para(6786(a,1),594(a,1,1)),rewrite(276(4),3(8))]. 73519 (x \ y) * (z \ i(y)) = ((y / z) \ x) \ i(y). [para(2253(a,1),6786(a,1,2,2,2)),rewrite(277(7),300(6),203(4),318(6),203(2),305(4),674(5),33205(5),929(5)),flip(a)]. 73738 (x * (y \ z)) / (z \ (y / (z \ x))) = ((y / z) / (x / z)) \ (x * (y \ z)). [para(6786(a,1),5970(a,1,2)),rewrite(3(4),22344(3),6786(10)),flip(a)]. 73754 (x / ((y \ z) \ u)) * (i(z) * y) = ((y \ z) / x) \ ((y \ z) / u). [para(6786(a,1),602(a,2,2)),rewrite(3(7),22994(11))]. 73937 (x / y) \ (((((z * (x / y)) * z) * i(x)) \ z) \ (x / y)) = x / (y / (x \ z)). [back_rewrite(66439),rewrite(73492(14))]. 74113 (x * (y \ (y / z))) / y = ((y * (y * z)) / x) \ y. [back_rewrite(40593),rewrite(73519(6),1171(2),306(6))]. 74192 (x \ (x / y)) \ ((y \ x) / z) = (y \ x) \ ((y \ (x * x)) / z). [back_rewrite(22660),rewrite(73754(6),926(2))]. 74769 x * ((x \ y) * (x * z)) = (y * (x * (z * x))) / x. [para(7291(a,1),1195(a,1,1,2,2)),rewrite(4(4),39(8)),flip(a)]. 76027 x * ((x * y) \ z) = (x / y) / (z \ x). [para(201(a,1),651(a,1,1)),rewrite(17191(6),25431(4),6786(5),300(7),17456(8))]. 76033 (x * y) \ (x / (x / z)) = (y \ z) / x. [para(305(a,1),651(a,1,2,1)),rewrite(2038(4),374(8))]. 76095 (x * i(y)) \ (x / (x * (z * z))) = (y / (z * z)) / x. [para(4299(a,1),651(a,2,1)),rewrite(9113(5),16963(10))]. 76099 (x * (y \ z)) \ y = z \ (y / (y \ x)). [para(5023(a,1),651(a,1,1)),rewrite(277(4),305(6),300(5),188(4),69469(5),188(7)),flip(a)]. 76310 (x / y) * (x / (x / z)) = x / ((x / z) / (y \ x)). [back_rewrite(70086),rewrite(76027(7))]. 76501 (((x * y) * x) * z) \ x = (x * z) \ i(y). [back_rewrite(45486),rewrite(76033(6),3622(3),362(3)),flip(a)]. 76738 (x / y) \ (x / (y / (y \ z))) = x / (y / (x \ z)). [back_rewrite(73937),rewrite(76501(7),203(5),877(6),310(6),72973(7),1602(3))]. 77080 x / (y * (y * x)) = (x * y) \ (x / y). [para(8304(a,1),4291(a,1,2,2)),rewrite(22197(6),39(5),3438(4),3(5),1133(4),35(3),24(4),37840(4),58737(4),16012(12),1171(10),1055(11),38(10),11175(10),37(11),22931(6))]. 77133 (x \ y) * (y \ i(x)) = (y * x) \ (y / x). [back_rewrite(58914),rewrite(77080(7))]. 77136 (x \ i(y)) * (y / x) = (y * x) \ (y / x). [back_rewrite(58870),rewrite(77080(7))]. 77137 i(x) * (y \ (y / x)) = (y * x) \ (y / x). [back_rewrite(58869),rewrite(77080(7))]. 77436 (x \ y) / (z * z) = x \ (y / (z * z)). [para(566(a,1),657(a,2,2,1)),rewrite(57686(4),3(2),3462(4),364(6),3462(6))]. 77438 ((x * y) / x) / y = x / ((y * x) / y). [para(630(a,1),657(a,1,1)),rewrite(16941(4),17191(7))]. 77467 x * ((y * (x \ z)) * x) = (z \ ((x / y) / x)) \ x. [para(657(a,1),2278(a,1,1)),flip(a)]. 77496 ((x \ y) \ z) / x = y \ (x / (x / z)). [para(657(a,1),374(a,1)),rewrite(305(2),2038(3)),flip(a)]. 77572 ((x / y) \ y) / x = (x / y) \ (y / x). [para(2000(a,1),657(a,1,1)),rewrite(16946(4),37(6))]. 77821 x * (y \ ((z * y) * y)) = ((z \ y) / x) \ (y * y). [back_rewrite(46008),rewrite(77436(5),5(4)),flip(a)]. 77958 ((x * (y / z)) \ ((x * (y / z)) / z)) \ (((x * z) * (z \ y)) * z) = (y \ (i(x) * i(z))) \ z. [back_rewrite(42786),rewrite(77467(16),1171(13),1391(14))]. 78080 x / (y \ (x \ y)) = ((x \ y) / x) \ y. [back_rewrite(57885),rewrite(77572(5),42105(6),3248(5),37289(4),35(1),1(3),916(6),37722(4),1133(3),42105(4),42426(4)),flip(a)]. 78090 (x / (x / y)) \ (x / (y / x)) = (y / x) \ (x / y). [back_rewrite(55434),rewrite(77572(8))]. 78109 x / ((x / y) \ (y / x)) = ((y / x) / x) \ (x / y). [back_rewrite(46563),rewrite(77572(3))]. 78121 x / ((y / x) \ (x / y)) = ((x / y) / x) \ (y / x). [back_rewrite(25892),rewrite(77572(3))]. 78192 ((x \ y) \ ((x \ (y * y)) / z)) \ (y * y) = (z * i(x)) * (i(x) \ y). [back_rewrite(3151),rewrite(77821(7),22994(5),926(2),74192(5))]. 78223 (((x \ y) / x) \ y) / ((y / x) \ x) = (y / x) \ (((x / y) / x) \ (y / x)). [back_rewrite(63794),rewrite(78080(3))]. 78440 (x \ y) / (x * y) = (y * x) \ (y / x). [para(269(a,1),9113(a,2,2)),rewrite(33903(6),37(4),11139(4),58258(5),22931(5),1055(2),30878(5),77137(4),3(8)),flip(a)]. 78503 (x * y) \ (x / (x * (z * z))) = y \ ((z * z) \ i(x)). [para(9113(a,1),651(a,1,2)),rewrite(69574(9))]. 78541 (x / (y * y)) / z = x / (z * (y * y)). [back_rewrite(76095),rewrite(78503(6),307(5)),flip(a)]. 78683 x * (y / (y * (z * z))) = (x * y) / (y * (z * z)). [back_rewrite(42667),rewrite(78541(8))]. 78686 ((x / y) / z) * i(y) = x / ((y * z) * y). [back_rewrite(37251),rewrite(78541(5),69418(4),5122(3),426(3),2270(3)),flip(a)]. 78742 (x / y) / (z * z) = x / ((z * z) * y). [back_rewrite(37258),rewrite(78686(6),854(3),1146(4),4480(3),38(4)),flip(a)]. 78833 (x * i(y)) * (((x * i(y)) \ z) * (x \ (x / y))) = (z / (x * y)) * x. [back_rewrite(63552),rewrite(78742(14),1490(13),37228(13))]. 78890 ((x * x) \ y) \ z = y \ ((x * x) * z). [back_rewrite(34719),rewrite(78742(3),38(4)),flip(a)]. 79033 ((i(x) * y) \ z) * x = y \ (x * (z * x)). [back_rewrite(37868),rewrite(78890(5),33903(4),1171(2),35(1),24(2),2278(3)),flip(a)]. 79034 (x / ((x * x) * y)) * z = (x / y) * ((x * x) \ z). [back_rewrite(37274),rewrite(78890(7),2602(6),3932(3),78742(5),3959(4),1055(7),32474(7),37738(8),4480(3))]. 79067 (x \ (y * y)) / z = x \ (y / (z / y)). [back_rewrite(16954),rewrite(78890(4),4299(3)),flip(a)]. 79244 x * ((y / z) \ z) = (y / (x * z)) \ z. [back_rewrite(68982),rewrite(79033(4),3(4),73452(4),1371(5)),flip(a)]. 79250 x \ (((y * (z * y)) / x) \ y) = (i(y) * x) * (x \ i(z)). [back_rewrite(31652),rewrite(79033(4),42105(5))]. 79284 (x * x) * ((x \ i(y)) * z) = (x / y) * z. [back_rewrite(13619),rewrite(79034(6),4(5)),flip(a)]. 79313 (((x * y) * z) * (z \ y)) / y = (x * i(z)) * (i(z) \ y). [back_rewrite(78192),rewrite(79067(4),42105(5),61218(7))]. 79344 (x \ (x / y)) \ ((y \ x) / z) = y \ ((x / y) \ (x / (z / x))). [back_rewrite(74192),rewrite(79067(9),42105(10))]. 79443 ((x \ y) / z) * y = x \ ((z / y) \ y). [back_rewrite(37202),rewrite(79067(5),523(3),429(3),2253(3)),flip(a)]. 79526 ((x \ y) / x) / (((x \ y) / x) / z) = x \ ((y / (y * (x \ (z * x)))) \ x). [back_rewrite(73157),rewrite(79244(11),50(9))]. 79677 x * ((i(y) \ (z \ (y * x))) \ z) = x * ((x \ ((y \ z) / y)) * z). [back_rewrite(56229),rewrite(79244(5),21513(4))]. 79727 ((x / (y * z)) \ z) * (z \ (((x * z) / x) \ z)) = (i(x) \ (z \ (z / y))) \ z. [back_rewrite(31387),rewrite(79244(3),79244(13),1282(11),17195(12))]. 79917 (x \ ((y / x) \ (y / (z / y)))) \ (y * y) = (z * i(x)) * (i(x) \ y). [back_rewrite(61218),rewrite(79313(12))]. 80294 x \ ((y / x) \ (x / (x \ y))) = y \ (x / (x \ y)). [para(304(a,1),9137(a,1,1)),rewrite(305(4),203(3),2224(4),51901(4),40211(8),1602(7),13211(8),277(9),203(8),69787(8),2224(7),277(9),300(8),203(7),69787(7),2224(6),1146(7),13211(6),13259(7)),flip(a)]. 80306 (x * (x * y)) / y = (x * y) / (x \ y). [para(925(a,1),9137(a,1,2)),rewrite(940(4),2578(4),37227(4),76310(10),38(8),22107(9),427(8),203(5),305(7),58729(8)),flip(a)]. 80316 i(x) * ((x * y) * y) = (x / y) \ (x * y). [para(523(a,1),9137(a,1,2)),rewrite(3(3),22608(4),16012(9),5(6),11087(8),58739(7))]. 80323 (i(x) \ y) / (x / (x / (y / x))) = (x * (y * x)) / ((x * y) / x). [para(674(a,1),9137(a,1,2)),rewrite(2286(3),56662(5),77436(11),17198(11)),flip(a)]. 80338 (x \ y) \ (y \ x) = y \ (x / (x \ y)). [para(2266(a,1),9137(a,1,1)),rewrite(305(5),203(4),1133(5),305(4),21889(6),49010(5),3(5),40211(8),1602(7),13211(8),277(9),203(8),69787(8),2224(7),22173(8),277(7),300(6),203(5),2272(6))]. 80340 (x \ y) / (y \ x) = x \ (y / (y \ x)). [para(3045(a,1),9137(a,1,1)),rewrite(23197(5),30774(6),6(2),40211(10),1602(9),13211(10),79526(12),1146(7),13211(6),13259(7),80294(8),3(7),13259(7),80294(8))]. 80414 (x \ (i(x) \ y)) \ (y * (x * x)) = (y / x) \ (y * x). [para(1170(a,1),9137(a,1,2)),rewrite(42569(5),63593(3),1042(4),3087(4),16945(4),212(4),203(2),22917(4),2246(3),30826(4),42569(12),6(10),22135(10),39830(11),426(9),300(6),203(5),1282(6)),flip(a)]. 80419 (x * y) / (x \ y) = (y / x) \ (y * x). [para(1397(a,1),9137(a,1,1)),rewrite(2014(6),40278(4),80306(3),76310(12),38(10),39830(11),426(9),300(6),203(5),1282(6),80414(9))]. 80459 (x \ (x / y)) \ (y \ (x * x)) = (y \ (i(y) \ x)) * x. [para(3626(a,1),9137(a,1,2)),rewrite(13052(4),45376(6),17195(4),63589(4),69380(5),16012(12),5(9),58258(11),58739(10),1055(9),37818(10),1133(8),305(7))]. 80541 (x * (y * x)) / ((x * y) / x) = x / ((x * y) / (y * (x * x))). [para(7606(a,1),9137(a,1,1)),rewrite(1171(6),1278(6),70852(7),77436(6),17198(6),80323(6),3839(11),317(10),56029(10))]. 80796 (x * (x * y)) / y = (y / x) \ (y * x). [back_rewrite(80306),rewrite(80419(6))]. 80882 (x * (y * x)) * ((x / y) / x) = x / ((x * y) / (y * (x * x))). [back_rewrite(56662),rewrite(80541(10))]. 81078 (x * (y \ z)) / z = ((z * y) / x) \ z. [para(3(a,1),678(a,1,1,2)),rewrite(40276(7)),flip(a)]. 81093 i(x) * (y * (z * i(x))) = (z \ (y \ x)) \ i(x). [para(304(a,1),678(a,1,1,1)),rewrite(429(4),188(2),203(7)),flip(a)]. 81094 i(x) * ((x / y) * i(z)) = ((z \ x) \ y) \ i(x). [para(304(a,1),678(a,1,1,2)),rewrite(305(4),202(3),188(2)),flip(a)]. 81119 x * (y \ (i(y) \ x)) = (y \ (y / x)) \ x. [para(1171(a,1),678(a,1,1)),rewrite(1169(4),1289(6)),flip(a)]. 81202 ((x \ i(y)) \ (z / y)) \ y = y * (i(z) * i(x)). [para(427(a,1),678(a,1,1)),rewrite(202(2))]. 81222 (x * i(y)) * (z * (x \ (x / y))) = x * (((z \ (y / x)) * x) \ i(y)). [para(1582(a,1),678(a,1,1,1)),rewrite(21514(4),30828(7),300(12),300(11),1282(12),274(11)),flip(a)]. 81316 (x / y) \ (x / z) = x \ ((x * y) / z). [para(430(a,1),678(a,2)),rewrite(188(2),3438(2),188(4),188(5),3(6),79067(3),188(5),42105(5),45625(3),38(4),375(7),37236(7)),flip(a)]. 81507 (x / y) / ((x / y) / ((y * z) / y)) = ((y * x) / (x * z)) \ y. [back_rewrite(70813),rewrite(81078(10))]. 81564 x * ((x \ y) * i(z)) = ((x * z) / y) \ x. [back_rewrite(40276),rewrite(81078(7))]. 81565 ((x * (y * x)) / z) \ x = (z / x) * i(y). [back_rewrite(40259),rewrite(81078(4))]. 81566 ((x / y) \ i(z)) \ y = y * ((y \ z) * x). [back_rewrite(40215),rewrite(81078(4),364(3))]. 81588 (x \ y) * (y \ (z / y)) = (z \ x) \ i(y). [back_rewrite(24852),rewrite(81093(6),38(2)),flip(a)]. 81598 (x / (y / (z * z))) \ (i(x) \ z) = (y * x) / (z * x). [back_rewrite(37547),rewrite(81119(9),16916(12),81564(8),3438(3),3420(3),45623(3))]. 81620 (x / (y * z)) * y = y * ((y \ x) / z). [back_rewrite(78833),rewrite(81222(9),369(5),374(4)),flip(a)]. 81657 (x \ (y \ ((y * x) / (z / y)))) \ (y * y) = (z * i(x)) * (i(x) \ y). [back_rewrite(79917),rewrite(81316(4))]. 81675 (x \ (x / y)) \ ((y \ x) / z) = y \ (x \ ((x * y) / (z / x))). [back_rewrite(79344),rewrite(81316(9))]. 81702 x / ((x / y) \ y) = (y / x) \ (x / y). [back_rewrite(78090),rewrite(81316(5),1732(2),45625(4),1146(2),77572(3),78109(4),58720(5))]. 81723 (x * y) * (y \ i(z)) = y / (z / (y \ x)). [back_rewrite(76738),rewrite(81316(5),62420(5))]. 81916 (x \ ((x * y) / z)) \ (y * y) = y \ (((y / (x / z)) * x) * y). [back_rewrite(67721),rewrite(81316(3))]. 81924 x * (y / (z * x)) = (x / (x / y)) / z. [back_rewrite(66638),rewrite(81316(4),1732(2),45625(3),1390(4))]. 82130 x \ ((x * y) / (z * z)) = y / (z * z). [back_rewrite(45661),rewrite(81316(4))]. 82199 (x / (y \ z)) * i(y) = y \ ((y * x) / z). [back_rewrite(37236),rewrite(81316(7))]. 82248 x / (y * (z \ x)) = x \ ((x * z) / y). [back_rewrite(22994),rewrite(81316(6))]. 82249 ((x * y) / z) \ (x * x) = z * (y \ x). [back_rewrite(22990),rewrite(81316(3),3326(4))]. 82294 x / (i(y) \ (z * x)) = x \ ((x / z) * i(y)). [back_rewrite(79250),rewrite(81565(4),81723(9),426(7)),flip(a)]. 82342 x \ ((y * x) * (((y * x) \ x) * (x * z))) = y * ((y \ x) * z). [back_rewrite(40617),rewrite(81566(11))]. 82785 (x / (y / x)) \ ((x * x) * z) = i(y) \ z. [back_rewrite(69054),rewrite(82294(6),53462(5),4(6),3(5)),flip(a)]. 82965 (x * x) * ((y \ x) \ z) = (y \ i(x)) \ z. [back_rewrite(65594),rewrite(82785(6),202(2)),flip(a)]. 83753 x * ((x \ i(y)) * z) = ((z / x) \ y) \ x. [para(5(a,1),683(a,1,1,2)),rewrite(202(5)),flip(a)]. 83812 (((x / y) \ z) / y) \ y = (y / z) * x. [para(3839(a,1),683(a,1,1,2)),rewrite(36050(5),3439(6),1146(4),202(7),79284(9))]. 84044 i(x) * (((y \ z) \ i(x)) \ y) = (((z / x) \ y) \ x) * y. [back_rewrite(71215),rewrite(83753(10))]. 84115 x \ ((y \ i(x)) * ((x * (y * x)) * (x * z))) = y * ((y \ x) * z). [back_rewrite(50107),rewrite(83753(14),71948(12),81566(12))]. 84142 (((x / y) \ z) \ y) \ i(u) = ((y * x) \ (y * z)) / u. [back_rewrite(47920),rewrite(83753(4))]. 84214 (x \ i(y)) * (y * z) = ((z / y) \ x) \ y. [back_rewrite(363),rewrite(83753(8))]. 84554 (x / ((y / x) / y)) \ (x * y) = y / x. [para(9799(a,1),6062(a,1,1,2,1)),rewrite(3932(4),81316(5),48227(4),845(5),29692(3),40211(6),1602(5),13211(6),13240(10))]. 84957 ((x \ y) / x) * ((((y / x) \ x) / (x / (x * y))) * z) = x / ((z \ x) / y). [para(9886(a,1),308(a,1,1)),rewrite(300(4),2266(4),57075(5),3(3),300(6),2266(6)),flip(a)]. 84991 x \ (y * (i(x) * z)) = ((x \ y) / x) * z. [para(9886(a,1),423(a,1,1)),rewrite(300(4),2266(4),84957(10),5122(5),203(3),300(2),300(7),2266(7))]. 85123 (x \ y) \ ((z \ (x \ y)) \ (x \ y)) = y \ (((y / x) \ (x * z)) * (x \ y)). [para(1055(a,1),694(a,1,2)),rewrite(16765(9))]. 85128 x \ ((y * z) * (y \ x)) = x \ (y / (x \ (y / z))). [para(1371(a,1),694(a,1,1)),rewrite(1371(4),694(4),1371(10),73452(9),81316(10),3(6))]. 85135 (x \ (y / (x \ (y / z)))) / (y \ x) = (i(x) * y) * z. [para(694(a,1),523(a,1,1)),rewrite(85128(4),300(8))]. 85343 x / (y \ ((y / z) \ z)) = (z / ((x / z) * y)) \ y. [para(5373(a,1),694(a,1,2)),rewrite(16012(5),1146(4),11246(6),4(8),7557(9),73452(9),1371(10))]. 85379 (x \ (((x / y) \ (y * z)) * (y \ x))) / (y \ x) = (y \ ((y / x) \ x)) \ z. [para(694(a,1),8346(a,2,2,1)),rewrite(16012(3),1146(2),65373(6),85123(6),85128(13),85135(15),12574(13))]. 85947 (x \ y) \ (z * (x \ y)) = y \ (x / (y \ (x / z))). [back_rewrite(694),rewrite(85128(8))]. 86194 (x / (((y / x) * z) \ ((x / y) \ y))) \ y = (i(y) * z) \ (x \ y). [back_rewrite(55352),rewrite(85343(7),79443(5))]. 86250 x * (y \ ((y / z) \ z)) = (y / ((x / y) * z)) \ z. [back_rewrite(11246),rewrite(85343(8))]. 86479 (x / ((x \ (x / (y / (z * x)))) * y)) \ y = (y / ((z * ((x / y) \ (y / x))) * x)) \ x. [para(9894(a,1),51(a,2,2)),rewrite(81702(3),79244(7),79244(10),86250(14),926(11)),flip(a)]. 86509 ((x / y) \ (y / x)) \ (((y / x) \ x) * ((y \ ((y / x) \ x)) \ z)) = ((y / x) \ x) * z. [para(9894(a,1),241(a,1,2,2,1)),rewrite(81702(3),11708(9))]. 86545 ((x / ((x \ (x / (y / (z * x)))) * y)) \ y) / ((y / x) \ x) = z * ((x / y) \ (y / x)). [para(9894(a,1),1446(a,1,1,2)),rewrite(79244(3),86250(7),926(4),81702(13))]. 86832 ((x * x) * y) * (y \ ((x * x) \ (y * z))) = y * z. [para(10087(a,1),39(a,2,2,1)),rewrite(1171(3),3676(3),5014(6),45538(5),52949(7)),flip(a)]. 86850 ((x * x) * y) * z = (x * x) * (y * z). [para(10087(a,1),241(a,1,2,2,1)),rewrite(1171(3),3676(3),52949(8),86832(9),4341(4)),flip(a)]. 87114 (x \ i(y)) * ((y * (x * y)) * z) = x * ((x \ y) * z). [back_rewrite(6882),rewrite(86850(6),83753(5),82965(5),81566(4)),flip(a)]. 87175 x \ (y * ((y \ x) * (x * z))) = y * ((y \ x) * z). [back_rewrite(84115),rewrite(87114(7))]. 87200 (x * y) * (((x * y) \ y) * z) = x * ((x \ y) * z). [back_rewrite(82342),rewrite(87175(7))]. 87240 (x * y) \ (y * ((y \ x) * z)) = (x \ (x / y)) * z. [back_rewrite(16786),rewrite(87200(6))]. 87241 (x \ (x / y)) \ (y * ((y \ x) * z)) = (y * x) * z. [back_rewrite(16783),rewrite(87200(7))]. 87243 (x * y) * ((x \ (x / y)) * z) = y * ((y \ x) * z). [back_rewrite(1729),rewrite(87200(5)),flip(a)]. 87274 i(x) * ((x / y) * z) = ((z / x) \ y) \ x. [back_rewrite(54848),rewrite(87243(7),57803(4),83753(4)),flip(a)]. 87310 ((x \ i(y)) \ z) \ y = ((x \ y) \ z) \ i(y). [back_rewrite(81094),rewrite(87274(5),277(2))]. 87410 (x \ y) * (y \ (y \ z)) = ((y \ (z / y)) \ x) \ y. [back_rewrite(25546),rewrite(87274(6),376(3),2530(3)),flip(a)]. 87414 (x \ y) * (y \ (i(y) \ z)) = (((y * z) / y) \ x) \ y. [back_rewrite(24337),rewrite(87274(10))]. 87417 (x / y) \ (y * (((z / x) \ y) \ x)) = y * (i(x) * z). [back_rewrite(24316),rewrite(87274(5))]. 87424 (((x / y) / x) \ z) \ x = (z \ x) * i(y). [back_rewrite(24225),rewrite(87274(5))]. 87428 (x \ (x / y)) * (i(x) * z) = ((z / x) \ (x * y)) \ x. [back_rewrite(23179),rewrite(87274(10))]. 87438 (x \ y) * (i(y) * z) = ((z / y) \ x) \ y. [back_rewrite(308),rewrite(87274(8))]. 87458 ((x \ y) \ (z / y)) \ i(y) = y * (i(z) * i(x)). [back_rewrite(81202),rewrite(87310(5))]. 87514 (x / y) \ (i(y) * x) = ((y * x) / y) \ x. [back_rewrite(51322),rewrite(87410(5),3005(4),683(5),202(2),1055(3),847(3),30758(3)),flip(a)]. 87562 x * (y \ (((z * y) / z) \ y)) = (((z / y) / z) \ (y / x)) \ y. [back_rewrite(49128),rewrite(87514(6),51491(6),427(5),203(3),202(2),630(3)),flip(a)]. 87576 (i(x) \ (y \ (y / z))) \ y = (z * y) * (y \ (x \ y)). [back_rewrite(79727),rewrite(87562(8),37(6),71865(6)),flip(a)]. 87611 (x / y) \ (x * y) = x \ ((x * y) * y). [para(845(a,1),10132(a,1,1)),rewrite(1146(4),1106(4),40278(4),80796(3),76310(8),38(6),1146(7),22073(6),38(7))]. 87635 (x * y) \ (x / y) = x \ ((x / y) / y). [para(929(a,1),10132(a,1,1)),rewrite(6(5),77136(4),40211(8),1602(7),38(6),22073(6),1146(7),22135(6),38(7))]. 87723 (x \ ((y * y) * x)) / ((y * x) \ (z * (y * x))) = ((x \ y) / z) * (y * x). [para(10132(a,1),990(a,1,1))]. 87729 (x \ (i(x) \ y)) * y = x \ ((x * y) * y). [para(1167(a,1),10132(a,1,1)),rewrite(17488(6),8952(5),1313(5),22608(4),80316(4),87611(3),16012(10),5(7),38324(11),80459(8)),flip(a)]. 87835 x \ ((x * y) / (x \ ((x * y) / (y \ (x \ (x \ y)))))) = y \ ((y / x) / x). [para(5468(a,1),10132(a,1,1)),rewrite(8835(6),77133(4),87635(3),16012(10),926(7),1520(9),85947(12),81316(10),81316(12)),flip(a)]. 87884 (x * (x * y)) / y = y \ ((y * x) * x). [back_rewrite(80796),rewrite(87611(6))]. 87928 (x * y) / (x \ y) = y \ ((y * x) * x). [back_rewrite(80419),rewrite(87611(6))]. 87941 x \ (x \ ((x * y) * y)) = (i(y) * x) \ y. [back_rewrite(58877),rewrite(87611(3))]. 87944 (x \ ((x * y) * y)) \ y = x \ (x / y). [back_rewrite(38215),rewrite(87611(3))]. 87971 (x \ y) / (x * y) = y \ ((y / x) / x). [back_rewrite(78440),rewrite(87635(6))]. 87986 (x \ y) * (y \ i(x)) = y \ ((y / x) / x). [back_rewrite(77133),rewrite(87635(7))]. 87989 x / (y * (y * x)) = x \ ((x / y) / y). [back_rewrite(77080),rewrite(87635(6))]. 87997 (x \ ((x / y) / y)) \ (x * x) = ((y * x) \ i(y)) \ x. [back_rewrite(61602),rewrite(87635(3))]. 88056 (x \ (x / y)) \ (y \ (x * x)) = y \ ((y * x) * x). [back_rewrite(80459),rewrite(87729(9))]. 88457 (x / ((x * y) / (y * (x * x)))) \ ((x * y) * ((x * x) * z)) = (x * y) * z. [para(11085(a,1),241(a,1,2,2,1)),rewrite(61817(5),78541(3),78683(4))]. 88559 (x * y) / (y \ (x \ (x \ y))) = x * (x * (x * y)). [para(1131(a,1),11087(a,1,2,2,2)),rewrite(1055(5),38(4),11175(4),1503(11),35644(10))]. 88699 ((x * y) \ i(x)) \ y = (x * (x * y)) * y. [para(11087(a,1),3854(a,1,1,1)),rewrite(22931(3),87635(3),87997(5),1055(8),11237(7),3326(8),50318(8),3(9))]. 88790 x \ (y \ (y / x)) = y \ ((y / x) / x). [back_rewrite(87835),rewrite(88559(6),4(5),1171(4),1169(4))]. 88817 (x \ ((x / y) / y)) \ (x * x) = (y * (y * x)) * x. [back_rewrite(87997),rewrite(88699(9))]. 89549 (x \ ((x / y) / y)) * ((y * x) * z) = (y * x) * ((x \ (y \ (y \ x))) * z). [para(11175(a,1),39(a,2,2,1)),rewrite(87971(3))]. 89568 (x \ (x / y)) / y = x \ ((x / y) / y). [para(11175(a,1),566(a,1,2,2)),rewrite(88559(6),87989(5),950(4),76033(5),202(6),87986(7))]. 89674 ((x \ y) / (y \ ((y / x) / x))) \ ((x * y) * ((y \ (x \ (x \ y))) * z)) = (y \ ((y / x) / x)) * z. [para(11175(a,1),403(a,1,2,2,1)),rewrite(87971(4),87971(15))]. 89830 (x \ (y * (y * x))) * ((x \ (y \ (y \ ((x * y) * x)))) * z) = y * ((x \ (x / y)) \ ((y \ x) * z)). [para(11200(a,1),39(a,1,1)),rewrite(51730(6),58621(14)),flip(a)]. 89847 (i(x) * y) \ (y * x) = y \ ((x * y) * x). [para(11200(a,1),1146(a,1,1)),rewrite(47438(3),37210(8),35(6),1(7),523(6)),flip(a)]. 89917 (x * (y * z)) / ((x * z) \ (x * (y * (y * z)))) = x * (y \ z). [para(402(a,1),11200(a,2)),rewrite(39(4),4(2),39(9),4(7),39(8),4(5))]. 89962 (x \ ((x * y) * y)) \ (y * ((x \ (x / y)) \ ((y \ x) * z))) = (y \ x) * z. [para(11200(a,1),403(a,1,1,2)),rewrite(87928(3),58621(11),89830(13),11200(15))]. 91387 (x / (y / (y \ x))) \ (y * z) = (x / y) \ (y * ((x \ y) * z)). [para(241(a,1),12591(a,1,2)),rewrite(40211(3),1602(2),13211(3),40211(9),1602(8),13211(9),15788(13))]. 93336 ((x / (y * (y * z))) * z) \ x = ((x / (y * z)) * (y \ z)) \ x. [para(511(a,1),13211(a,2,2,2)),rewrite(34395(6),22197(5),33639(11),37(9),22197(10)),flip(a)]. 94549 ((x / (y * z)) * (y \ z)) \ x = (((y * (y * z)) / x) \ z) \ x. [para(511(a,1),13350(a,2,2,2)),rewrite(22197(7),34459(8),87438(6),33639(11),37(9),22197(10),93336(10)),flip(a)]. 94708 ((x / (y * (y * z))) * z) \ x = (((y * (y * z)) / x) \ z) \ x. [back_rewrite(93336),rewrite(94549(10))]. 95096 ((x * y) \ y) \ x = y \ ((x * y) * x). [para(916(a,1),13649(a,1,2)),rewrite(305(3),300(2),22197(6),1171(2),87428(5),31594(4),916(7),201(8),202(6),426(7),300(5),89847(7))]. 95645 x * ((y / z) \ (((z / y) / z) \ (y / z))) = (((y / (x * z)) \ z) * y) / ((y / z) \ z). [para(13800(a,1),1446(a,1,1,2)),rewrite(79244(3),78223(13)),flip(a)]. 95784 (x * y) / (y * x) = x / ((y * x) / y). [para(210(a,1),13836(a,1,2)),rewrite(630(3),16941(4),77438(3),210(8),16931(8)),flip(a)]. 95849 x * (y \ (z \ (y * z))) = x / (z \ (y \ (z * y))). [para(13836(a,1),375(a,2,2)),rewrite(202(3),15241(5),14612(5))]. 96840 x \ ((x * y) / (x \ (z \ (x * z)))) = y / (x \ (z \ (x * z))). [back_rewrite(15305),rewrite(95849(10))]. 96841 A * (B / (D \ (C \ (D * C)))) != (A * B) / (D \ (C \ (D * C))). [back_rewrite(15304),rewrite(95849(11),95849(21)),flip(a)]. 96857 (x / y) * (z \ (y * z)) = x / (z \ (y \ (z * y))). [back_rewrite(15248),rewrite(95849(8))]. 96870 (x / (y * z)) * (z * y) = x / (y \ (z \ (y * z))). [back_rewrite(15125),rewrite(95849(8))]. 98551 (x \ y) / ((x \ y) \ (z / (y \ (x * (x * y))))) = (x * y) * (z \ (x \ y)). [para(15876(a,1),6786(a,1,2,2,2))]. 98674 ((x * y) \ z) * (x \ (x / y)) = (x * y) \ (x * ((x \ z) / y)). [para(1133(a,1),16012(a,1,2)),rewrite(81620(9))]. 98685 (x \ (y * (z \ x))) / (z \ x) = (i(x) * z) * (z \ y). [para(16012(a,1),523(a,1,1,2)),rewrite(42105(5),42314(5),300(7))]. 98704 x \ ((x * y) / ((z \ (x / y)) / x)) = (y * x) * ((x / y) \ z). [para(3439(a,1),16012(a,1,1)),rewrite(3932(8),58945(9),81316(10)),flip(a)]. 98717 (i(x) * y) * (y \ z) = y \ ((y / x) * z). [para(1182(a,1),16012(a,1,1)),rewrite(926(7),1390(7))]. 98737 ((x / y) / z) \ x = x \ ((x * z) * y). [para(2284(a,1),16012(a,1,1)),rewrite(40282(4),5(6))]. 98752 (i(x) \ (y \ (x * z))) \ y = z \ (x \ ((x / y) \ y)). [para(16012(a,1),3987(a,1,2)),rewrite(1146(3),86250(5),277(2),21513(4),16012(8),1146(7))]. 98753 (i(x) \ y) * (x \ z) = i(x) \ ((y / x) * z). [para(4001(a,1),16012(a,1,1)),rewrite(4803(7),25674(8),54086(9))]. 98765 x \ (((x / y) \ (y / x)) \ ((y / x) * z)) = x \ ((x / y) * z). [para(16012(a,1),11125(a,1,2)),rewrite(16012(3),1146(2),42105(7),77572(3),300(9),98717(11))]. 98882 (x \ (x / y)) * ((x / y) \ z) = (x / y) \ ((x / (x * y)) * z). [para(1372(a,1),16012(a,1,1)),rewrite(5406(10))]. 98896 (x * y) * (x \ z) = x / (z \ (x / y)). [para(1744(a,1),16012(a,2,2,1)),rewrite(4(3),58945(7),1390(8))]. 98965 ((x * x) \ y) * (y \ z) = (x * x) \ z. [para(3986(a,1),16012(a,1,1)),rewrite(926(8),3963(8),53462(7),4(8))]. 99233 x \ ((x / y) * ((y / x) \ (x * z))) = (x \ ((x / y) \ y)) \ z. [back_rewrite(85379),rewrite(98685(8),98717(7))]. 99318 x \ (y \ (x * ((i(x) * y) * z))) = y \ ((y / x) * z). [back_rewrite(31035),rewrite(98717(10))]. 99430 x * ((x \ ((y \ z) / y)) * z) = y \ ((y / z) \ z). [back_rewrite(79677),rewrite(98752(5),3(5)),flip(a)]. 99439 x / ((y * (z \ x)) \ (z \ x)) = i(z) \ ((y / z) * x). [back_rewrite(37723),rewrite(98753(9))]. 99720 (x * (y * x)) * (z / x) = x / (x / ((y * x) * z)). [back_rewrite(66785),rewrite(98896(5),1748(3),21107(4),2038(5)),flip(a)]. 99843 ((x * x) \ y) * z = (x * x) \ (y * z). [back_rewrite(12623),rewrite(98965(5)),flip(a)]. 99988 x * ((i(y) \ x) \ ((y / z) \ z)) = y \ ((y / z) \ z). [back_rewrite(56166),rewrite(99430(11))]. 100217 x / ((x * y) / (y * (x * x))) = x / (x / (y / (y / (x * x)))). [back_rewrite(80882),rewrite(99720(5),9137(3)),flip(a)]. 100412 x \ ((y \ (((y * z) / y) \ x)) \ x) = (x * x) \ (y * (z * x)). [back_rewrite(64999),rewrite(99843(10))]. 100628 (x / (x / (y / (y / (x * x))))) \ ((x * y) * ((x * x) * z)) = (x * y) * z. [back_rewrite(88457),rewrite(100217(5))]. 101479 (x \ (x / y)) \ (y * (x * x)) = y * ((y * x) * x). [para(1169(a,1),16121(a,1,1)),rewrite(1146(6),30968(6),672(4),1146(12),30968(12),672(10),48251(11),402(12),4(9))]. 103753 x \ ((y / x) \ (x * z)) = (x \ y) \ z. [para(16765(a,1),4(a,1,2))]. 103811 x * ((i(y) \ x) \ z) = (x * y) \ (x * z). [para(2284(a,1),16765(a,1,2,1)),rewrite(5(7))]. 104073 (x / (x / (y / (y / (x * x))))) \ ((x * y) * z) = x * ((y / x) * (x \ z)). [para(11085(a,1),16765(a,1,2,1)),rewrite(54906(4),61817(9),78541(7),78683(8),100217(9)),flip(a)]. 104192 (x * y) \ ((y / (x * z)) \ z) = y \ ((y / z) \ z). [back_rewrite(99988),rewrite(103811(6),79244(4))]. 104295 x / (x / (y * (z * x))) = (x * y) * z. [back_rewrite(100628),rewrite(104073(10),4001(4),40278(4),854(4))]. 105766 x \ ((y / (x * z)) \ (x * z)) = ((x \ y) / z) \ z. [para(1146(a,1),17488(a,2,2)),rewrite(57673(4),1146(3)),flip(a)]. 105818 x * (y \ (z * (z * y))) = x / (y \ (z \ (z \ y))). [para(17488(a,1),3420(a,1,2)),rewrite(3(4),53984(5),16012(9),5(6)),flip(a)]. 105827 x * (y \ (z \ (z \ y))) = x / (y \ (z * (z * y))). [para(17488(a,1),4284(a,2,2)),rewrite(300(5),202(4),1055(5),847(5),42105(5),5(2),3(7))]. 105831 (x \ (y * (y * x))) * z = (x \ (y \ (y \ x))) \ z. [para(17488(a,1),4341(a,2,1)),rewrite(300(5),202(4),1055(5),847(5),42105(5),5(2),3(7)),flip(a)]. 105835 (x \ (y \ (y \ x))) * z = (x \ (y * (y * x))) \ z. [para(17488(a,1),5014(a,2,1)),rewrite(300(5),202(4),1055(5),847(5),42105(5),5(2),3(7))]. 106412 x * ((y \ (y / x)) \ (y * z)) = (y \ ((y / x) / x)) \ (y * z). [back_rewrite(17584),rewrite(105831(9),16765(10),22931(8),87635(8))]. 106440 ((x \ y) / (y \ ((y / x) / x))) \ ((x * y) * ((y \ (x * (x * y))) \ z)) = (y \ ((y / x) / x)) * z. [back_rewrite(89674),rewrite(105835(10))]. 106444 (x \ ((x / y) / y)) * ((y * x) * z) = (y * x) * ((x \ (y * (y * x))) \ z). [back_rewrite(89549),rewrite(105835(11))]. 106925 x / (y \ (y / x)) = (y \ (y / x)) \ x. [para(18959(a,1),1602(a,2,2)),rewrite(76099(4),81316(4),87928(3),48203(4),81119(4)),flip(a)]. 106934 (x \ (x / y)) \ y = x \ ((x * y) * y). [para(18959(a,1),3326(a,1,1)),rewrite(69380(8),88056(8))]. 107033 (x \ (x / y)) * (y \ z) = y \ ((x \ (x / y)) * z). [para(18959(a,1),16012(a,1,1)),rewrite(74113(8),87884(7),87944(8))]. 107038 x * ((y \ (y / x)) \ z) = (y \ (y / x)) \ (x * z). [para(18959(a,1),16765(a,1,2,1)),rewrite(74113(8),87884(7),87944(8))]. 107097 x / (y \ (y / x)) = y \ ((y * x) * x). [back_rewrite(106925),rewrite(106934(6))]. 107152 (x \ ((x / y) / y)) \ (x * z) = (x \ (x / y)) \ (y * (x * z)). [back_rewrite(106412),rewrite(107038(5)),flip(a)]. 107163 (x \ ((x * y) * y)) \ ((y * x) * z) = (y \ x) * z. [back_rewrite(89962),rewrite(107038(9),87241(9))]. 107200 (x * (x * y)) * y = x * ((x * y) * y). [back_rewrite(88817),rewrite(107152(5),101479(5)),flip(a)]. 107306 x \ ((x * y) / (z / x)) = (y * x) / z. [para(20960(a,1),4(a,1,2))]. 107308 (x / (x / y)) / (z / x) = x * (y / z). [para(6(a,1),20960(a,1,2,1)),rewrite(854(4)),flip(a)]. 107354 (x \ i(y)) \ (z \ y) = y * ((x / z) * y). [para(523(a,1),20960(a,2,2)),rewrite(990(4),429(7),202(5)),flip(a)]. 107691 (x * y) * ((y / x) \ z) = (x * y) / (z \ (y / x)). [back_rewrite(98704),rewrite(107306(6)),flip(a)]. 107701 (x \ (x / y)) \ ((y \ x) / z) = y \ ((y * x) / z). [back_rewrite(81675),rewrite(107306(9))]. 107707 x \ (((x / (y / z)) * y) * x) = (z * i(y)) * (i(y) \ x). [back_rewrite(81657),rewrite(107306(4),81916(5))]. 107897 ((i(x) \ y) \ (x / z)) \ (i(x) * y) = z * (y / (y \ x)). [back_rewrite(67794),rewrite(107707(5),20502(7),300(6))]. 107948 (x / y) / ((y * z) / y) = (x / z) / y. [para(21502(a,1),37(a,1,2))]. 107958 (x * (y \ (y / x))) / (x \ y) = y \ x. [para(1603(a,1),21502(a,1,1)),rewrite(37(2),48046(4)),flip(a)]. 108206 (x / y) / ((x / z) / y) = ((y * x) / (x * z)) \ y. [back_rewrite(81507),rewrite(107948(5))]. 108343 (x * y) \ ((x * y) / z) = (y \ x) \ ((y \ x) / z). [para(849(a,1),566(a,1,2,2)),rewrite(4688(9),4731(6),203(9),70419(10),374(9))]. 108518 (((x / y) \ z) \ (((x / y) \ z) / y)) \ (((z * y) * (y \ x)) * y) = (x \ (i(z) * i(y))) \ y. [back_rewrite(77958),rewrite(108343(6))]. 108540 ((x / y) \ z) \ (((x / y) \ z) / y) = (x \ (y \ z)) \ ((x \ (y \ z)) / y). [back_rewrite(68024),rewrite(108343(6),108343(12)),flip(a)]. 108610 ((x \ (y \ z)) \ ((x \ (y \ z)) / y)) \ (y \ (((z * y) * (y \ x)) * y)) = ((z * y) * (y \ x)) * y. [back_rewrite(42791),rewrite(108343(6),108540(6))]. 108687 ((x \ (y \ z)) \ ((x \ (y \ z)) / y)) \ (((z * y) * (y \ x)) * y) = (x \ (i(z) * i(y))) \ y. [back_rewrite(108518),rewrite(108540(6))]. 110187 x / ((x \ y) * z) = (y * (z / x)) \ x. [para(1445(a,1),22142(a,1,1)),rewrite(57991(10),1445(11))]. 110313 ((((x / (y / (z * x))) * (y / x)) \ x) \ y) / ((y / x) \ x) = z * ((x / y) \ (y / x)). [back_rewrite(86545),rewrite(110187(6))]. 110316 (((x / (y / (z * x))) * (y / x)) \ x) \ y = (y / ((z * ((x / y) \ (y / x))) * x)) \ x. [back_rewrite(86479),rewrite(110187(6))]. 111193 (x * (y * (x \ z))) \ (x * y) = (z \ (x * y)) / y. [para(4(a,1),22197(a,1,2)),rewrite(40(6)),flip(a)]. 111208 (x \ (x / y)) / (z \ x) = ((x / z) * (x * y)) \ x. [para(1133(a,1),22197(a,1,1))]. 111209 (x \ y) / (y \ (y / z)) = ((y / (y * z)) * x) \ y. [para(1133(a,1),22197(a,1,2))]. 111215 (x \ y) / (z * y) = ((y * z) * x) \ y. [para(1378(a,1),22197(a,2,1,1)),rewrite(3326(4),3439(4))]. 111231 (x / ((y \ z) / y)) \ (i(x) \ y) = y \ (x / ((y * z) \ (i(y) \ x))). [para(796(a,1),22197(a,1,1)),rewrite(40054(6),22931(4),305(3),79443(10),17205(10)),flip(a)]. 111235 x \ (y \ (x \ (i(x) \ z))) = (x \ (y \ x)) / (z \ x). [para(847(a,1),22197(a,1,1)),rewrite(23032(9),277(8),300(7),203(6),1282(7)),flip(a)]. 111236 (x \ y) / (y \ (z \ y)) = (i(z) * x) \ y. [para(847(a,1),22197(a,1,2)),rewrite(37(7))]. 111248 (x \ y) / (y \ (z \ (y * y))) = ((i(z) * y) * x) \ y. [para(1008(a,1),22197(a,2,1,1)),rewrite(3326(4),877(4),3438(3))]. 111255 ((x / y) * (z * i(x))) \ x = (x / (x \ z)) / (y \ x). [para(2224(a,1),22197(a,1,1)),flip(a)]. 111269 (((x / y) * (z / x)) \ x) \ z = x \ ((x / y) / ((z \ x) / z)). [para(22197(a,1),3462(a,1,1)),rewrite(300(5),53688(6),16012(9),1146(8),85343(10),926(7),110187(9)),flip(a)]. 111297 (((x / y) * z) \ x) / u = ((x * z) \ (x * y)) / u. [para(22197(a,1),309(a,2,1)),rewrite(300(3),87438(4),84142(5)),flip(a)]. 111319 (x * (y * z)) / z = z \ ((z * x) * y). [para(1382(a,1),22197(a,1,1)),rewrite(21107(5),188(2),362(6),98674(9),362(7),301(12),202(8),306(8)),flip(a)]. 111439 (x \ (y / (y / z))) / (z / y) = (x \ (y * z)) / z. [para(3501(a,1),22197(a,2,1,1)),rewrite(845(6),53462(9),54906(9),76033(12),111297(10),47933(10),111193(10))]. 111567 (x \ y) / (y \ (z \ (z \ y))) = ((y \ ((y / z) / z)) * x) \ y. [para(11237(a,1),22197(a,1,2)),rewrite(87989(8))]. 111586 (x \ y) / ((z \ y) / ((z \ y) \ (x \ y))) = y \ ((y / ((y / x) * z)) \ ((y / x) * z)). [para(22197(a,1),13350(a,1,2,2)),rewrite(55806(7)),flip(a)]. 111921 (x / ((y * ((z / x) \ (x / z))) * z)) \ z = z \ ((z / (x / (y * z))) / ((x \ z) / x)). [back_rewrite(110316),rewrite(111269(7)),flip(a)]. 111923 (x \ ((x / (y / (z * x))) / ((y \ x) / y))) / ((y / x) \ x) = z * ((x / y) \ (y / x)). [back_rewrite(110313),rewrite(111269(7))]. 112446 (x / ((y * z) \ z)) / z = (z * i(x)) \ y. [para(891(a,1),22344(a,1,1,2)),rewrite(5(8),305(7),203(6))]. 112473 x \ ((x / (x / y)) / z) = y / (z * x). [para(3839(a,1),22344(a,2,2)),rewrite(877(3),1055(2),78742(6),98896(5),35(3),24(4),300(3),916(3),37(3),427(7),203(5),4299(5),81316(6),854(4)),flip(a)]. 112509 ((x / y) / (z / y)) / y = y \ (((y * x) / z) / y). [para(22344(a,1),2545(a,2,1)),rewrite(82199(4),2576(5)),flip(a)]. 112526 (x / y) / ((y * z) / (y * u)) = (x / (z / u)) / y. [para(477(a,1),22344(a,2,2)),rewrite(4(3)),flip(a)]. 112528 (x / y) / ((z / y) \ (u / y)) = (x / (z \ u)) / y. [para(496(a,1),22344(a,2,2)),rewrite(4(3)),flip(a)]. 112616 (x / (y / x)) \ (x * z) = y / (z \ x). [para(4090(a,1),22344(a,1,1,2)),rewrite(78742(6),98896(5),35(3),24(4),300(3),495(3),37(3),111215(7),3622(7),426(7),203(5),4299(5)),flip(a)]. 112762 (x / (y \ (y / z))) / z = (x / z) / (y \ (y / z)). [para(18959(a,1),22344(a,1,1,2)),rewrite(74113(9),111319(8),87944(9))]. 112878 x * (y \ (x / z)) = (x / (x \ y)) / z. [back_rewrite(73455),rewrite(112528(5)),flip(a)]. 113866 (x \ y) * (z * x) = ((y * z) \ x) \ x. [para(38(a,1),895(a,1,1,2)),rewrite(277(5),3000(7))]. 115910 ((x * i(y)) * z) \ x = (i(x) * z) \ (x \ y). [para(274(a,1),22931(a,1,1,2)),rewrite(305(4),300(3),203(2),305(9),188(8))]. 115912 x \ (y \ (x * ((y \ x) \ i(z)))) = (((y \ x) * z) * x) \ (y \ x). [para(196(a,1),22931(a,2,1)),rewrite(429(7),300(5),300(4),202(3),188(2),376(10),23243(11)),flip(a)]. 115917 (x * y) \ (x / z) = x \ ((x / y) / z). [para(22931(a,1),845(a,2)),rewrite(35943(4)),flip(a)]. 115927 (x \ (y * z)) / z = (z * x) \ (z * y). [para(1378(a,1),22931(a,2,2)),rewrite(3326(3),3439(3))]. 115928 x / (y \ (z \ x)) = x \ ((x * z) * y). [para(22931(a,1),1390(a,1,2,2)),rewrite(115917(3),1371(5),98737(3)),flip(a)]. 115936 x / (x \ ((x / y) / z)) = (x * z) * y. [para(22931(a,1),1732(a,2,2)),rewrite(115928(3),3(4),115917(5)),flip(a)]. 115942 ((x / y) / x) \ (x / z) = i(x) \ (y / z). [para(630(a,1),22931(a,2,1)),rewrite(107354(4),111319(4),4001(4)),flip(a)]. 115943 ((x / y) / z) \ (x * x) = z * (y * x). [para(22931(a,1),664(a,2,1)),rewrite(300(3),300(2),16185(4),3(4),115917(5),3326(6)),flip(a)]. 115971 (x / (x \ y)) \ ((y / x) \ i(z)) = y \ ((y / x) / z). [para(2272(a,1),22931(a,2,1)),rewrite(19870(4),427(6),203(4),300(3),300(2),196(3),115917(5),22344(4),5(3),364(8)),flip(a)]. 116076 ((x / y) * z) \ x = (x * z) \ (x * y). [para(1254(a,1),22931(a,1,1,2)),rewrite(111439(5),115927(3),37(9)),flip(a)]. 116100 ((x / y) * z) \ ((y / x) \ x) = (y * z) \ (y * x). [para(2028(a,1),22931(a,2,2)),rewrite(107701(5),610(3),19867(6),203(5),300(4),664(5),116076(10),1055(9),22376(10),116076(8))]. 116101 ((x * y) * z) \ x = x \ ((x / z) / y). [para(22931(a,1),2039(a,1,2,2)),rewrite(25431(6),3438(2),79067(5),22931(3),115917(3),115936(4),115917(7),115936(8),22931(7),115917(7),5(5),5(4),22931(6),115917(6))]. 116122 x \ ((((y \ x) * (x * z)) / x) \ (y \ ((x * y) * x))) = ((i(y) * x) * z) \ x. [para(3397(a,1),22931(a,1,1,2)),rewrite(111248(5),61237(8),34353(14),42105(13)),flip(a)]. 116478 x \ ((x / y) / (z / x)) = (y \ x) / z. [back_rewrite(53641),rewrite(115917(4))]. 116506 (x \ (y \ z)) / z = z \ ((z / x) / y). [back_rewrite(22931),rewrite(115917(6))]. 116564 (x / y) * (x / z) = x / (z / (y \ x)). [back_rewrite(46544),rewrite(115927(4),1732(2),112616(4)),flip(a)]. 116586 (x / ((y \ z) / y)) \ (i(x) \ y) = x \ ((x / y) * z). [back_rewrite(111231),rewrite(115928(11),22917(10),99318(12))]. 116625 x \ ((x * y) * (z * (y \ x))) = i(y) \ ((z / y) * x). [back_rewrite(99439),rewrite(115928(5))]. 116669 x / (x \ ((x * y) * z)) = (x / z) / y. [back_rewrite(35943),rewrite(115928(3))]. 116999 (x / (x \ y)) / (z \ x) = x * (y \ z). [back_rewrite(111255),rewrite(116076(5),319(3),402(4)),flip(a)]. 117010 (x \ y) / (y \ (y / z)) = (y * x) \ (y * (y * z)). [back_rewrite(111209),rewrite(116076(8))]. 117011 (x \ (x / y)) / (z \ x) = (x * (x * y)) \ (x * z). [back_rewrite(111208),rewrite(116076(8))]. 117045 (((x * (x * y)) / z) \ y) \ z = (z * y) \ (z * (x * (x * y))). [back_rewrite(94708),rewrite(116076(5)),flip(a)]. 117123 (x \ y) \ (y \ ((y / ((y / x) * z)) \ ((y / x) * z))) = (z \ y) \ ((y * x) \ (y * z)). [back_rewrite(52265),rewrite(116076(13))]. 117167 i(x) * ((y / x) \ z) = (x * y) \ (x * z). [back_rewrite(30877),rewrite(116076(7))]. 117172 i(x) * ((y / x) * ((x / z) * y)) = (y \ x) \ ((x * z) \ (x * y)). [back_rewrite(24283),rewrite(116076(10))]. 117174 ((x \ y) * z) \ ((y \ x) \ x) = (y * z) \ (y * x). [back_rewrite(22376),rewrite(116076(8))]. 117179 (x \ y) / (z \ y) = (y * x) \ (y * z). [back_rewrite(22197),rewrite(116076(6))]. 117188 (x / ((x * y) \ (x * z))) \ z = (i(z) * y) \ (x \ z). [back_rewrite(86194),rewrite(116100(5))]. 117212 x \ (y \ (x * ((y \ x) \ i(z)))) = (y \ x) \ ((x \ (x / y)) / z). [back_rewrite(115912),rewrite(116101(11),926(9))]. 117213 (i(x) * y) \ (x \ z) = x \ ((y * i(x)) \ z). [back_rewrite(115910),rewrite(116101(4),305(3),203(2)),flip(a)]. 117469 (x / y) / (z / (x / y)) = x / (z / (y \ (x / y))). [back_rewrite(50101),rewrite(116564(8),87424(6),300(4),202(3),1055(4),847(4),16012(4),57597(5)),flip(a)]. 117865 (x / (y / (y \ x))) / z = x / (z / (y \ (x / y))). [back_rewrite(19977),rewrite(117469(8))]. 118741 x * ((y \ x) \ i(z)) = (y / x) / (z / x). [para(23032(a,1),566(a,1,2,2)),rewrite(73738(8),37(9),202(6)),flip(a)]. 119028 (x \ y) \ ((y \ (y / x)) / z) = y \ (x \ ((x / y) / (z / y))). [back_rewrite(117212),rewrite(118741(4)),flip(a)]. 119518 x / (y \ (z \ (y * x))) = y \ (z * y). [para(23243(a,1),37(a,1,2))]. 119656 x \ (y \ (i(z) \ x)) = ((y * x) \ z) * x. [para(23243(a,1),1010(a,1)),rewrite(1602(3),115928(3),2284(3))]. 120393 ((i(x) \ y) * z) \ x = (x * z) \ (x * i(y)). [para(1446(a,1),24586(a,1,1)),rewrite(1554(6),69698(10),3(10),1554(8),1936(9),202(8),117167(9))]. 121022 (x \ y) * (z * y) = ((y * z) \ x) \ y. [para(1171(a,1),24691(a,1,1,1,2)),rewrite(1378(3)),flip(a)]. 121028 (x \ y) / ((x \ y) \ z) = (((y / z) / x) \ x) \ y. [para(1602(a,1),24691(a,2)),rewrite(115928(3),116669(4)),flip(a)]. 121151 (((x \ y) / x) \ z) \ x = (z \ i(x)) * y. [para(4989(a,1),24691(a,1,1,1,2)),rewrite(37(4),57803(8))]. 121166 ((x / (y * y)) \ z) \ y = (x \ z) \ i(y). [para(6751(a,1),24691(a,1,1,1,2)),rewrite(37(4),81588(8))]. 121181 ((x \ ((x / y) / y)) * z) \ x = ((x \ ((x * y) * y)) \ z) \ x. [para(11087(a,1),24691(a,1,1,1,2)),rewrite(115928(3),105818(10),111567(10)),flip(a)]. 121334 x \ ((x / ((x / y) * z)) \ ((x / y) * z)) = y \ ((y / z) \ z). [back_rewrite(111586),rewrite(121028(6),37(3),117179(5),79244(4),104192(5)),flip(a)]. 121355 (((x / (y / (x \ (z * (z * x))))) / z) \ z) \ x = (z * x) * (y \ (z \ x)). [back_rewrite(98551),rewrite(121028(8))]. 121533 (x \ y) / (y \ (z \ (z \ y))) = ((y \ ((y * z) * z)) \ x) \ y. [back_rewrite(111567),rewrite(121181(10))]. 121546 (x \ y) \ ((y * z) \ (y * x)) = z \ ((y / z) \ ((z / x) \ x)). [back_rewrite(117123),rewrite(121334(8),42105(5)),flip(a)]. 121607 (x / (x \ y)) \ z = x \ (y / (z \ x)). [para(3451(a,1),24694(a,2,1,2)),rewrite(45376(4),3451(5)),flip(a)]. 121637 x / ((x * y) \ (x * z)) = (x / z) * y. [para(241(a,1),24694(a,2)),rewrite(38(3),39(3),37718(5),117174(5))]. 121839 x / (y \ ((z / x) \ (x \ z))) = ((z / x) \ (x \ (z / x))) \ y. [para(22389(a,1),24694(a,2,1,2)),rewrite(24356(4),51248(9))]. 121911 x \ (y / (x * ((x \ z) * y))) = y \ ((y / x) / z). [back_rewrite(115971),rewrite(121607(6),81566(4))]. 122089 (i(x) * y) \ (z \ x) = ((z / x) * y) \ x. [back_rewrite(117188),rewrite(121637(4)),flip(a)]. 123468 ((x / y) \ (y \ (x / y))) \ (y * z) = y * (((y * x) \ x) \ z). [para(25011(a,1),16765(a,1,2,1)),rewrite(51441(8)),flip(a)]. 123576 x \ (((x * y) / x) \ z) = y \ (x \ z). [para(25012(a,1),4(a,1,2)),flip(a)]. 123834 (x * x) \ (y * (z * x)) = x \ ((z \ (y \ x)) \ x). [back_rewrite(100412),rewrite(123576(4)),flip(a)]. 124727 (x \ y) / (y \ ((y / z) / x)) = ((y \ x) \ x) * z. [para(926(a,1),25674(a,1,1,2)),rewrite(117010(4),599(4),116506(7)),flip(a)]. 124998 (x \ ((x / y) / y)) * z = (x \ ((x * y) * y)) \ z. [para(11105(a,1),25674(a,1,1,2)),rewrite(87989(3),121533(9),37(10))]. 125097 x \ ((y * x) \ (x * ((x * y) * ((y \ (x * (x * y))) \ z)))) = (y \ ((y * x) * x)) \ z. [back_rewrite(106440),rewrite(124727(5),3438(3),3431(3),23243(10),124998(14))]. 125269 (x * y) * ((y \ (x * (x * y))) \ z) = (x \ y) * z. [back_rewrite(106444),rewrite(124998(6),107163(6)),flip(a)]. 125363 (x \ ((x * y) * y)) \ z = y \ ((x \ (x / y)) * z). [back_rewrite(125097),rewrite(125269(7),87240(5)),flip(a)]. 125389 (x \ ((x / y) / y)) * z = y \ ((x \ (x / y)) * z). [back_rewrite(124998),rewrite(125363(8))]. 125391 (x \ y) / (y \ (z \ (z \ y))) = (z \ ((y \ (y / z)) * x)) \ y. [back_rewrite(121533),rewrite(125363(9))]. 125478 (x / ((y / x) / y)) * z = (y / ((x * y) * x)) \ z. [para(25894(a,1),1195(a,2,1)),rewrite(107691(6),112446(8),202(3),57686(4),2270(3)),flip(a)]. 126194 x / (((y \ (x * z)) / x) / (x \ (x / z))) = (x / z) * ((x / (x * z)) * y). [para(2580(a,1),963(a,1,1,2)),rewrite(3085(5),35621(14),58945(11),116564(12),1133(10)),flip(a)]. 126577 (((x * y) / x) \ z) \ x = x \ (x / (y \ (x \ z))). [para(30758(a,1),1133(a,1,1))]. 126920 (x \ y) * (y \ (i(y) \ z)) = y \ (y / (z \ (y \ x))). [back_rewrite(87414),rewrite(126577(9))]. 128511 (x / y) \ (y * ((z \ y) \ x)) = (z \ (x / y)) \ x. [para(32223(a,1),16765(a,1,2)),rewrite(33903(3)),flip(a)]. 128618 ((x / y) \ (y / z)) \ y = z * (i(y) * x). [back_rewrite(87417),rewrite(128511(6))]. 128772 (x / y) \ (((x * z) / (u / x)) / y) = (y * (z * x)) / (y * u). [para(20960(a,1),32334(a,1,2,1)),rewrite(477(10))]. 128958 (x \ y) \ ((z \ x) \ (u \ x)) = (y \ (z / u)) * x. [para(32474(a,1),1010(a,1,2))]. 129698 ((x * y) / z) / y = x / ((y * z) / y). [para(1390(a,1),33639(a,1,2,1)),rewrite(81316(4),25894(3),22244(4),45625(6),1732(7),81316(10),854(7),107308(9),4(8)),flip(a)]. 129708 ((i(x) * y) * (y / z)) \ y = z / (y \ (x \ (y * y))). [para(892(a,1),33639(a,1,2,1)),rewrite(3326(3),877(3),3438(2)),flip(a)]. 129755 (x * ((y * z) \ z)) * ((y * z) \ z) = (y * (y * (z / x))) \ z. [para(33639(a,1),2545(a,2,1)),rewrite(300(3),916(3),300(6),916(6),33639(12),37(10))]. 129893 (x * (y * i(z))) \ z = z * (y \ (x \ z)). [para(33639(a,1),6786(a,1,2,2)),rewrite(72843(6),111236(7),203(4),594(4),1146(4),477(3),678(4))]. 130521 x * (y \ (y \ (z * y))) = ((y \ z) \ (y / x)) \ y. [para(3326(a,1),33903(a,1,2,1)),rewrite(3371(3))]. 130862 ((x / y) \ z) \ (y * y) = y \ (((y / z) * x) * y). [back_rewrite(67437),rewrite(130521(6),3451(4),42105(3),3326(4))]. 131194 x \ ((y / x) \ (z \ ((x * z) * x))) = (y \ ((x \ z) \ z)) * x. [para(34209(a,1),1010(a,1,2,1)),rewrite(34318(5),42105(6))]. 131356 ((i(x) * y) * z) \ y = (y * z) \ (x * y). [back_rewrite(116122),rewrite(131194(9),117174(6),37746(5),4(3)),flip(a)]. 131390 x / (y \ (z \ (y * y))) = (y / (x / y)) \ (z * y). [back_rewrite(129708),rewrite(131356(5),1732(2)),flip(a)]. 131436 (x / (y \ z)) * z = (z / x) \ (y * z). [back_rewrite(37203),rewrite(131390(5),5(2)),flip(a)]. 131646 ((x \ (y \ (y / x))) * (y / z)) \ y = z / (y \ (x \ (x \ y))). [para(34251(a,1),33639(a,1,2,1)),rewrite(11237(3)),flip(a)]. 131864 ((x / y) \ ((x / y) \ ((y \ x) / y))) * z = (y / x) * ((y / (y * x)) * ((y / x) \ z)). [para(2580(a,1),1057(a,1,2,2,1,2)),rewrite(35621(9),3085(10),58945(8),116564(9),1133(7),126194(9),32474(13),25488(12),50060(13)),flip(a)]. 131932 (x \ (y / (y \ x))) * z = (y \ (x / (x \ y))) \ z. [para(22173(a,1),1057(a,1,2,1,2)),rewrite(58545(9),117865(16),47475(15),47708(16),13255(17),651(14),27(11),33(12),131864(12),13268(13),15789(13),24333(10),13245(8),30758(8),13274(5),277(5),203(4),69787(4),2224(3),305(6),300(5),203(4),69787(4),2224(3),1146(4),13211(3),13259(4),128618(5),121022(4),2224(3),121607(3),38(8),121607(7)),flip(a)]. 132037 (x \ (y / z)) * z = z * ((x * z) \ y). [para(35939(a,1),3(a,1,2)),flip(a)]. 132038 (x * (y \ (z / u))) * u = (x * u) * ((y * u) \ z). [para(35939(a,1),8(a,1,2)),flip(a)]. 132039 (x \ (y / z)) * (z * u) = z * (((x * z) \ y) * u). [para(35939(a,1),39(a,2,2,1)),rewrite(132037(3),496(4),5(2))]. 132051 x \ (((x / y) \ (y / x)) \ z) = ((x / y) \ y) \ z. [para(664(a,1),35939(a,2,1)),rewrite(429(5),113866(9),37840(7),374(6),57978(7),11750(6),42105(5),77572(3))]. 132193 ((x * y) \ z) * (y \ u) = y \ ((x \ (z / y)) * u). [para(35939(a,1),16012(a,1,1)),rewrite(132037(7),496(8),5(6))]. 132287 (x * y) / (z \ y) = (y / x) \ (y * z). [back_rewrite(37227),rewrite(132037(4),30826(4)),flip(a)]. 132290 x \ ((x / (y / (z * x))) / ((y \ x) / y)) = z * y. [back_rewrite(111921),rewrite(132038(5),1146(3),9894(4),86250(5),5(2),37(4),38(3)),flip(a)]. 132340 ((x / y) \ y) \ ((y / x) * z) = x \ ((x / y) * z). [back_rewrite(98765),rewrite(132051(7))]. 132785 (x / y) \ (x * (z * x)) = (i(y) \ z) * x. [back_rewrite(37139),rewrite(132287(4))]. 132789 x * ((y / z) \ (z / y)) = (x * z) / ((z / y) \ y). [back_rewrite(111923),rewrite(132290(7)),flip(a)]. 132933 (x / (y \ (z * y))) * z = x / (z \ (y \ (z * y))). [para(37121(a,1),50(a,1,1)),rewrite(96857(8))]. 134195 x \ (((x * y) * z) / (x * y)) = y / (x / (z / y)). [para(210(a,1),37718(a,1,1,1)),rewrite(98753(5),310(5),15706(9)),flip(a)]. 134650 x \ ((x / (x \ y)) / z) = y \ (x / z). [para(37722(a,1),5(a,1,1)),rewrite(116506(4))]. 134667 ((x * y) / z) \ z = (y / z) \ (x \ z). [para(845(a,1),37722(a,2,1)),rewrite(81316(4),1732(2),45625(3),1390(4),1146(3))]. 134672 (x \ (y \ (y / z))) * y = (y \ x) \ ((z * y) \ y). [para(1171(a,1),37722(a,1,1,2))]. 134673 (x / (y * z)) * z = (z / x) \ (y \ z). [para(1390(a,1),37722(a,2,1)),rewrite(81316(4),854(2),112473(4))]. 135344 (x * i(y)) \ (z * y) = (y * (x \ z)) * y. [para(610(a,1),37746(a,2,1)),rewrite(402(4)),flip(a)]. 136152 (x \ ((y * y) * x)) / z = x \ (y / ((z / x) / y)). [para(3932(a,1),40054(a,2,2)),rewrite(78890(3))]. 136454 x \ (y / ((((y * x) \ (z * (y * x))) / x) / y)) = ((x \ y) / z) * (y * x). [back_rewrite(87723),rewrite(136152(8))]. 136642 x \ (i(x) \ ((y * x) * z)) = (((x / z) / x) / y) \ x. [para(493(a,1),40211(a,2,1,2)),rewrite(305(2),305(5),203(4),1133(5),305(4),126920(6),21107(4),42569(8),305(10),203(9),202(8),202(7),30758(9),16951(9))]. 137322 (x * y) \ (((x / z) / x) \ (z / x)) = (((z \ x) / z) * y) \ i(x). [para(40431(a,1),651(a,1,2,1)),rewrite(32506(5),63721(5))]. 138428 (x / y) \ (i(x) \ z) = i(x) \ ((y \ x) \ z). [para(274(a,1),42105(a,1,1)),rewrite(305(8),188(7))]. 138429 (i(x) \ y) \ (x / z) = x \ ((y / x) \ i(z)). [para(274(a,1),42105(a,1,2)),rewrite(305(7),307(10),82248(8),364(7))]. 138506 x \ ((x / y) * ((y / x) \ z)) = ((x / y) \ y) \ z. [para(42105(a,1),5023(a,1,2)),rewrite(300(2),98717(6),16012(8),1146(7),42105(10),77572(8),132051(10))]. 138544 (x \ y) \ (i(x) * z) = x * ((y * x) \ z). [para(1313(a,1),42105(a,1,2)),rewrite(111235(10),1182(7),132287(8),305(6),30828(8))]. 138565 x \ (((x * y) / (x * z)) \ u) = (y / z) \ (x \ u). [para(477(a,1),42105(a,2,2,1)),rewrite(4(3)),flip(a)]. 138657 (x \ (x / y)) \ ((x \ y) \ z) = (x \ y) \ ((x \ (y \ x)) \ z). [para(5417(a,1),42105(a,1,1)),rewrite(117011(10),2162(10))]. 138747 (x \ (x / y)) \ (y \ z) = y \ ((x \ (x / y)) \ z). [para(18959(a,1),42105(a,1,1)),rewrite(74113(8),111319(7),125363(8),132037(7),1133(6),4(8))]. 138752 (x / y) \ ((x / ((x / y) / y)) \ z) = y \ ((x / y) \ ((x / (x * y)) * z)). [para(22074(a,1),42105(a,2,2,1)),rewrite(87611(3),125363(6),98882(5)),flip(a)]. 138836 x / (y \ (z * x)) = x \ ((x / z) * y). [back_rewrite(116586),rewrite(138428(6),121151(5),20480(5))]. 138847 (x * y) / (z * y) = y \ ((y * x) / z). [back_rewrite(81598),rewrite(138428(6),121166(5),307(5),82248(3)),flip(a)]. 138877 (x / y) \ (((x / z) / x) \ z) = y * (z / (z \ x)). [back_rewrite(107897),rewrite(138429(4),138544(7),45148(4),76099(5),30826(6),51936(4))]. 139137 (x \ ((x / y) \ y)) \ z = ((x / y) \ y) \ (x * z). [back_rewrite(99233),rewrite(138506(6)),flip(a)]. 139338 ((x * y) * (y \ z)) * y = y * (((y \ x) * z) * y). [back_rewrite(108610),rewrite(138747(12),108687(11),34587(6),305(2),120393(4),22284(5)),flip(a)]. 139858 ((x / y) \ (y / x)) \ (y * z) = ((y / x) \ x) * z. [back_rewrite(86509),rewrite(139137(9),3(10))]. 141568 (((x * y) * z) / u) \ (x * (y * (x * y))) = u * (z \ (x * y)). [para(397(a,1),42569(a,1,2,1)),rewrite(426(4),188(2),426(12),202(10),202(9),306(9),81316(8),3326(10),3709(9)),flip(a)]. 143477 (x / ((y / z) \ u)) * z = (x * z) / (y \ (u * z)). [para(45148(a,1),990(a,1,2,2)),rewrite(4(5)),flip(a)]. 145369 (x \ (y * x)) / ((z / y) * x) = (y \ (y \ x)) \ i(z). [para(990(a,1),45625(a,2,2)),rewrite(138836(5),1146(4),1182(5),429(5),300(3),202(2),1055(3),847(3),42105(4),926(2),106934(3),87941(4),24155(4)),flip(a)]. 145377 ((x / y) \ y) / z = y / ((z / y) * x). [para(1195(a,1),45625(a,2,2)),rewrite(115927(3),11125(3),429(3),2253(3))]. 145746 ((x / y) \ (z \ (z \ x))) \ y = x \ (z * (z * x)). [back_rewrite(37205),rewrite(145369(5),84214(6))]. 145871 i(x) \ (y \ (z \ x)) = ((x / y) / z) * x. [back_rewrite(37169),rewrite(145377(5),115927(3),11125(3),21516(4))]. 146515 (x / y) / (x \ z) = x / (x \ (z * y)). [para(2272(a,1),1196(a,2,1)),rewrite(891(3),6(5),73452(5),37(3),69787(8),6(6)),flip(a)]. 146550 (((x / y) / z) / z) * y = (z * (z * (y / x))) \ y. [para(2545(a,1),1196(a,2,1)),rewrite(891(3),891(6),129755(6)),flip(a)]. 147257 (x * (y \ (y / x))) \ i(z) = (y * (x \ (x / y))) / z. [para(48046(a,1),306(a,2,1)),rewrite(300(3),138544(4),1133(2))]. 147307 ((x * (y \ (y / x))) / ((x \ y) * z)) \ (x \ y) = (x \ y) * (z * (i(x) * y)). [para(48046(a,1),678(a,1,1,1)),rewrite(300(11))]. 148216 (x \ y) * ((y \ ((x * y) * y)) / z) = (y * x) / (z / (x \ y)). [para(51836(a,1),20960(a,2,1)),rewrite(54488(6))]. 149027 (x * (x * y)) * (y \ z) = y \ (((y * x) * x) * z). [para(55766(a,1),16012(a,2,2,1)),rewrite(4(4))]. 149334 (x \ y) / (i(x) \ z) = (x \ (y / z)) / x. [para(212(a,1),57597(a,1,2,2,2)),rewrite(310(5),277(4),203(3),2218(4)),flip(a)]. 149351 (x \ y) / (x \ z) = x \ ((y / z) * x). [para(3326(a,1),57597(a,1,2,2,2)),rewrite(45376(3),119518(5)),flip(a)]. 149435 (x * y) * (z \ (x \ y)) = (x * y) / ((x \ y) \ z). [para(11175(a,1),57597(a,1,2,2,2)),rewrite(105827(6),121028(8),121355(8))]. 150130 x / (y \ (x / (x \ z))) = z * (x \ y). [para(37(a,1),57686(a,1,1)),rewrite(1602(4)),flip(a)]. 150175 x \ (((y / x) \ x) * z) = i(y) * (i(x) \ z). [para(2266(a,1),57686(a,2,2,2)),rewrite(277(3),203(2),4(3),277(9),300(8),203(7),300(6),664(7)),flip(a)]. 150293 (x * (y \ z)) * (z \ u) = z / (u \ (y / (z \ x))). [para(6786(a,1),57686(a,1,1)),rewrite(3(8))]. 150304 x / (y \ (z \ (z \ x))) = x \ (((x * z) * z) * y). [para(11105(a,1),57686(a,1,1)),rewrite(149027(4),3(8)),flip(a)]. 152051 x \ (((x / y) * z) * x) = i(y) * (i(z) \ x). [para(61809(a,1),5023(a,1,2)),rewrite(300(4),202(2),84214(4),3438(4),130862(4),16012(11),1146(10),134667(10),4(9),104192(9),42105(10),145377(7),1146(6),81702(7),139858(9),150175(8))]. 152215 ((x / y) \ z) \ (y * y) = i(z) * (i(x) \ y). [back_rewrite(130862),rewrite(152051(8))]. 153487 (x \ y) / (z \ (u \ (u \ z))) = x \ (y / (z \ (u \ (u \ z)))). [para(17488(a,1),69417(a,1,2)),rewrite(3(4),105818(5),16012(10),5(7),105818(9))]. 153573 (x \ ((y \ (y / x)) * z)) \ y = z \ (x * (x * y)). [back_rewrite(125391),rewrite(153487(5),150304(4),56696(3),4(4)),flip(a)]. 153728 (x / y) / (z / (u / (u \ z))) = x / ((u / (z / (z \ u))) \ y). [para(40211(a,1),69418(a,1,2)),rewrite(1602(3),13211(4),13274(5),116564(8))]. 153860 x / (y / ((y * x) \ z)) = x \ (x / (y / (y \ z))). [para(69787(a,1),1171(a,1,2))]. 153885 i(x) \ ((x * y) \ z) = (y / x) \ (x \ z). [para(1182(a,1),69787(a,2,2)),rewrite(105766(5),131436(5),6(4),429(7)),flip(a)]. 153925 (x \ (y \ (z / y))) \ i(u) = (y / ((y * x) \ z)) / u. [para(69787(a,1),306(a,2,1)),rewrite(203(3),2576(3))]. 154048 ((x / y) \ (y * x)) * z = y * (((y * x) \ x) \ z). [para(25011(a,1),69787(a,1,1,2)),rewrite(22389(3),121839(10),123468(10))]. 154547 (x * (y * (z * y))) / y = (((y / z) / y) / x) \ y. [para(1289(a,1),71666(a,1,2)),rewrite(305(2),126920(6),21107(4),136642(5),362(8),306(10)),flip(a)]. 154668 (x / y) * (z \ (z \ y)) = ((z * (z * y)) / x) \ y. [para(34251(a,1),71666(a,2,1,1)),rewrite(134672(5),4017(5))]. 154717 x / (y \ (((x / z) / x) * y)) = ((z \ (x \ y)) / x) \ (x \ y). [para(71666(a,1),69787(a,1)),rewrite(3246(9)),flip(a)]. 154758 x * ((x \ y) * (x * z)) = (((x / z) / x) / y) \ x. [back_rewrite(74769),rewrite(154547(8))]. 154824 (x \ y) \ ((y * x) \ (y * z)) = y \ ((z / x) / (y \ (y / x))). [para(73452(a,1),1133(a,1,1)),rewrite(121607(5),1133(3),108343(10),117179(9)),flip(a)]. 155363 x * ((y * (z \ x)) \ u) = (z / (x \ y)) / (u \ x). [para(57597(a,1),76027(a,2,1)),rewrite(3(4))]. 155613 (x * (y \ i(z))) \ z = i(z) \ (y / (z \ x)). [para(929(a,1),76099(a,1,1,2)),rewrite(115942(9))]. 156299 x / (x \ (y * (z * x))) = x \ (((x / z) / y) * x). [para(1602(a,1),1323(a,1,1)),rewrite(121028(6),132039(8),3438(7),69380(7),3431(6),6(4),3(6),47333(10),47344(11),1602(8)),flip(a)]. 156335 (x \ ((y * x) * x)) / z = (y \ x) \ (x / (z / x)). [para(1323(a,1),45623(a,1,1)),rewrite(123834(4),3326(3),3431(3),3(5),35(5),24(6),376(9),203(8),4299(8))]. 156350 (x * y) / (z / (y \ x)) = x / (z / x). [back_rewrite(148216),rewrite(156335(5),3(6)),flip(a)]. 156372 ((x \ y) \ z) / y = y \ (x / (y / z)). [para(1371(a,1),77496(a,1,1,1)),rewrite(81316(8),3(5))]. 158138 ((x / (y / (y \ x))) \ z) \ u = z \ ((y / (x / (x \ y))) \ u). [para(40211(a,1),78890(a,1,1,1)),rewrite(1602(2),13211(3),116564(8),13268(9))]. 158511 ((x / (y * z)) \ z) \ y = y \ (y / ((x / z) \ z)). [para(79244(a,1),1133(a,1,1))]. 158810 (x / y) * (z * x) = ((z \ y) / x) \ x. [para(4(a,1),79443(a,1,1,1)),rewrite(105766(8))]. 158874 (((x \ y) / x) * z) \ i(u) = (z \ ((y / x) \ x)) / u. [para(79443(a,1),306(a,2,1)),rewrite(203(3),300(2),84991(4))]. 159063 (x \ y) \ ((y * z) \ (y * x)) = (i(z) \ (x \ y)) \ x. [back_rewrite(117172),rewrite(158810(5),38(3),79244(4),429(3)),flip(a)]. 159105 (x * y) \ (((x / z) / x) \ (z / x)) = (y \ ((x / z) \ z)) / x. [back_rewrite(137322),rewrite(158874(11))]. 159160 x \ ((y / x) \ ((x / z) \ z)) = (i(x) \ (z \ y)) \ z. [back_rewrite(121546),rewrite(159063(5)),flip(a)]. 159527 x * (y \ (z / (z \ y))) = (x * (y \ z)) / (z \ y). [para(80338(a,1),1446(a,1,1,2)),rewrite(150293(6),81316(5),3(2),150130(4),80340(7)),flip(a)]. 159590 (((x \ y) * z) * (x \ y)) / (y \ x) = (((y / ((y \ x) / z)) / x) \ x) \ y. [para(80338(a,1),73452(a,1,2)),rewrite(159527(6),121028(12))]. 159683 x \ (y \ ((y / x) / (((z \ (y \ x)) / y) / x))) = (y \ (x / (x \ y))) \ z. [para(80340(a,1),1195(a,2,1)),rewrite(85947(5),16012(6),116564(5),149351(4),154717(5),116506(8),926(3),119028(8),131932(12))]. 159862 ((x \ ((x / y) \ (y * x))) / z) \ (x \ y) = (z * (y \ (y / x))) / (x \ y). [para(1094(a,1),81078(a,1,1,2)),rewrite(33903(9),34166(9)),flip(a)]. 160001 x / ((y * (z * (u \ x))) / x) = ((x * u) / z) / y. [para(81078(a,1),45625(a,1,1,2)),rewrite(37(4)),flip(a)]. 160007 ((x * (y \ (y / x))) / z) \ (x \ y) = z / (y \ x). [para(48046(a,1),81078(a,2,1,1)),rewrite(80338(3),159527(4),129698(6),48046(3),107958(5)),flip(a)]. 160120 (x \ y) * (z * (i(x) * y)) = ((x \ y) * z) / (y \ x). [back_rewrite(147307),rewrite(160007(8)),flip(a)]. 160198 i(x) \ ((y \ x) \ z) = (y / (x / z)) * x. [para(305(a,1),81316(a,1,2)),rewrite(138428(4),305(7),202(6),42303(8))]. 160254 x / (y * (x \ (x / z))) = x \ ((x * (x * z)) / y). [para(1314(a,1),81316(a,2,2,1)),rewrite(277(3),202(2),277(5),42105(6),362(3),306(5),16945(9),307(10)),flip(a)]. 160291 ((x \ y) \ y) \ ((y \ x) / z) = y \ (x \ ((x / y) / (z / y))). [para(1595(a,1),81316(a,2,2,1)),rewrite(40054(5),89568(3),115936(4),40054(6),42105(7),5(3),115917(4)),flip(a)]. 160412 (x \ (y / (y \ x))) \ ((x \ y) / z) = (x \ y) \ ((x * (y \ (y / x))) / z). [para(48046(a,1),81316(a,2,2,1)),rewrite(80340(3))]. 160414 x \ ((y \ (y / x)) * (x / z)) = x \ ((y * (x \ (x / y))) / z). [para(49552(a,1),81316(a,2,2,1)),rewrite(107097(3),125363(5))]. 161153 (x * y) / ((y / z) \ z) = x / ((y / z) \ (z / y)). [para(81702(a,1),940(a,2,2,2)),rewrite(145377(8),1146(7),81702(8),149351(9),25674(8),145377(7),1146(6),81702(7),78121(8),95645(10),131436(4),6(3),37(3),38(2),132789(13),73414(10),156372(13),145377(11),1146(10),81702(11),3(14))]. 161738 x \ ((x * y) / (z / (u / (u \ z)))) = y / (z / (u / (u \ z))). [para(40211(a,1),82130(a,1,2,2)),rewrite(1602(3),13211(4),116564(9))]. 161845 x \ (y \ ((y / x) / (z / x))) = y \ ((y / x) / z). [para(1595(a,1),82248(a,2,2,1)),rewrite(138657(7),45220(6),42105(7),132785(6),672(4),4001(5),40054(6),81078(4),364(3),81566(4),121911(5),160291(8)),flip(a)]. 161898 (x * y) / (z / (y \ (x \ (y * x)))) = (x * y) \ ((x * (y * (y * x))) / z). [para(13836(a,1),82248(a,1,2,2)),rewrite(95849(5),61595(10))]. 162042 (x \ y) / (z \ (y \ x)) = (y \ (x / (x \ y))) \ z. [back_rewrite(159683),rewrite(161845(8),116478(6))]. 162044 (x \ y) \ ((y \ (y / x)) / z) = x \ ((x / y) / z). [back_rewrite(119028),rewrite(161845(10))]. 162136 (x * y) / (y \ (z * (z * y))) = x * (z \ (z \ y)). [para(1055(a,1),82249(a,1,1,1)),rewrite(40054(3),16012(6),1146(5),42105(7),159160(7),87576(6),37250(5))]. 162219 (x * y) / ((x * y) \ z) = x / ((x * y) \ (z / y)). [para(482(a,1),82249(a,1,1)),rewrite(3709(7),141568(8),1602(4),35965(11),8(12),73452(9),5(7),69787(8))]. 162241 ((x \ ((y * x) * y)) / z) \ (x \ ((x / y) \ y)) = z / (y \ (x * (x * y))). [para(11175(a,1),82249(a,2,2)),rewrite(121022(3),95096(3),16012(7),1146(6),105827(12))]. 162288 ((x * (y \ (y / x))) / z) \ (x \ ((x / y) \ y)) = (z * (x \ y)) / (y \ x). [para(48046(a,1),82249(a,1,1,1)),rewrite(16012(7),1146(6),80338(11),159527(12))]. 162324 i(x) * ((y \ i(x)) \ z) = x * ((y \ x) \ z). [para(81078(a,1),82249(a,1,1)),rewrite(152215(5),202(3))]. 162509 (((x / y) \ z) \ y) * z = y * (((z \ x) \ y) \ z). [back_rewrite(84044),rewrite(162324(6)),flip(a)]. 162971 ((x / y) \ z) / y = y / ((y / z) * x). [para(83812(a,1),37(a,1,2)),flip(a)]. 163352 ((x / y) \ (y * x)) / z = (y / (y \ x)) / (z / x). [para(84554(a,1),352(a,1,1,1)),rewrite(154048(5),40199(4),112878(4),202(6),125478(12),30978(13),158511(10),161153(9),78121(9),159105(10),1182(7),376(7),2530(7),153925(9),22389(7)),flip(a)]. 164357 (x \ (y \ (y / x))) * z = x \ ((y \ (y / x)) * z). [para(88790(a,1),1010(a,2,1)),rewrite(34388(5),128958(6),1171(2),125389(8))]. 164479 x / (y \ (z \ (z \ y))) = (y / x) \ (z * (z * y)). [back_rewrite(131646),rewrite(164357(5),153573(6)),flip(a)]. 164547 x * (y \ (z * (z * y))) = (y / x) \ (z * (z * y)). [back_rewrite(105818),rewrite(164479(8))]. 165676 ((x * (i(y) * z)) \ y) \ (z \ y) = z * ((y * z) \ x). [para(201(a,1),98737(a,2,2,1)),rewrite(305(4),203(3),300(2),138544(10))]. 165680 x * ((y * x) \ (y * (x \ z))) = x \ ((x / y) / ((z \ x) / y)). [para(317(a,1),98737(a,2,2,1)),rewrite(305(4),203(3),202(2),155613(4),30828(6),116076(4),25674(9),115917(10))]. 165683 ((x \ (x / y)) / z) \ (y \ x) = (y \ x) \ (((y \ x) * z) * x). [para(926(a,1),98737(a,1,1,1))]. 165690 (x / y) \ ((x / (x * y)) * z) = x \ ((y * x) \ (y * (x * z))). [para(594(a,1),98737(a,2,2,1)),rewrite(305(4),203(3),203(2),129893(4),115917(5),115928(3),115927(4)),flip(a)]. 165735 (x * y) \ (((x * y) * z) * x) = (y / z) \ (y * x). [para(278(a,1),98737(a,2,2)),rewrite(362(3),362(4),16931(7),111319(5),138544(12),117213(10),135344(9),2284(9),300(7),30826(9))]. 165738 ((x * (y / z)) \ y) \ (z * i(y)) = (z * i(y)) \ (((z / y) / y) * x). [para(2545(a,1),98737(a,2,2,1)),rewrite(364(3),305(5),300(4),188(2))]. 165742 (i(x) * y) \ (((x \ y) / x) * z) = x \ ((x / y) / ((z \ x) / y)). [para(3445(a,1),98737(a,2,2,1)),rewrite(376(3),305(5),300(4),188(2),23032(3),138544(6),116076(4),165680(5)),flip(a)]. 165771 ((x \ ((x * y) * z)) / y) * x = i(y) \ ((z / y) * x). [para(517(a,1),98737(a,2,2)),rewrite(277(4),202(3),19865(5),306(7),111319(5),116625(5),145871(10),115928(7)),flip(a)]. 165842 ((x \ ((x * y) * z)) / u) * x = ((x / z) / y) \ ((u / x) \ x). [para(98737(a,1),79443(a,1,1,1))]. 165871 (x / y) \ ((x / ((x / y) / y)) \ z) = y \ (x \ ((y * x) \ (y * (x * z)))). [back_rewrite(138752),rewrite(165690(11))]. 165950 ((x / y) / z) \ ((z / x) \ x) = i(z) \ ((y / z) * x). [back_rewrite(165771),rewrite(165842(5))]. 167598 (x \ (y / (y \ x))) \ z = (x \ y) \ ((y \ x) * z). [para(13211(a,1),103753(a,1,2,1)),rewrite(91387(5),103753(6)),flip(a)]. 167604 x \ (y \ ((x * y) \ (x * (y * ((y / x) * z))))) = x \ ((y \ (y / x)) * z). [para(22074(a,1),103753(a,1,2,1)),rewrite(165871(8),87611(11),125363(12))]. 167689 (x \ y) / (z \ (y \ x)) = (y \ x) \ ((x \ y) * z). [back_rewrite(162042),rewrite(167598(8))]. 167691 (x \ y) \ ((y \ x) * ((x \ y) / z)) = (x \ y) \ ((x * (y \ (y / x))) / z). [back_rewrite(160412),rewrite(167598(6))]. 167710 (x \ (y / (y \ x))) * z = (y \ x) \ ((x \ y) * z). [back_rewrite(131932),rewrite(167598(8))]. 167929 x / (y * (z * x)) = x \ ((x / z) / y). [para(104295(a,1),38(a,1,1)),rewrite(116101(3)),flip(a)]. 168058 (x \ y) * (z * (u * y)) = (((y * z) * u) \ x) \ y. [para(104295(a,1),24691(a,1,1,1)),flip(a)]. 168156 (x \ (((((y * x) / z) / u) \ y) \ (x \ y))) / y = (((y * x) * u) * z) \ y. [para(104295(a,1),81078(a,2,1)),rewrite(167929(5),132193(7),1055(6),32474(6))]. 168157 ((x * y) * z) \ (x / u) = x \ (((x / z) / y) / u). [para(104295(a,1),81316(a,1,1)),rewrite(167929(7),3(8))]. 168163 x \ (((((y * x) / z) / u) \ y) \ (x \ y)) = z \ (u \ (x \ y)). [para(104295(a,1),82249(a,1,1)),rewrite(69380(5),69380(4),69380(3),4(2),167929(8),132193(10),1055(9),32474(9)),flip(a)]. 168242 ((x \ y) * z) / (y \ x) = x \ ((y * z) / (y \ x)). [back_rewrite(160120),rewrite(168058(5),2224(4),121607(4)),flip(a)]. 168318 (x \ (y \ (z \ u))) / u = (((u * z) * y) * x) \ u. [back_rewrite(168156),rewrite(168163(7))]. 168996 (x * (x * y)) \ ((x * ((x * y) * y)) / z) = y / z. [para(107200(a,1),82248(a,2,2,1)),rewrite(164547(6),37(7)),flip(a)]. 169309 (x * y) / (z / (z \ y)) = x / (z / (y / (y \ z))). [para(13211(a,1),107306(a,1,2,2)),rewrite(161738(6)),flip(a)]. 169333 x / (y \ (z \ (y * z))) = ((y * z) / x) \ (z * y). [para(107306(a,1),33903(a,2,1)),rewrite(4(3),96857(4))]. 169351 (x \ y) \ ((x * (y \ (y / x))) / (z / (x \ y))) = (y * (x \ (x / y))) / z. [para(48046(a,1),107306(a,1,2,1)),rewrite(48046(11))]. 169353 x \ ((y * (x \ (x / y))) / (z / x)) = (x * (y \ (y / x))) / z. [para(49552(a,1),107306(a,1,2,1)),rewrite(132037(9),1133(8))]. 169354 (x \ ((y * x) * y)) / z = x \ (y / ((z / y) / x)). [para(51837(a,1),107306(a,2,1)),rewrite(16765(3),163352(5),134650(6)),flip(a)]. 169360 (x * y) \ ((x * (y * (y * x))) / (z / (x * y))) = (y * (x * (x * y))) / z. [para(61595(a,1),107306(a,1,2,1)),rewrite(61595(11))]. 169389 (x \ y) \ (((x \ y) * z) / (y \ (x / (x \ y)))) = (z * (x \ y)) / (y \ x). [para(80340(a,1),107306(a,1,2,2))]. 169413 (x * (y * (y * x))) / z = x / (z / (y * (y * x))). [para(107200(a,1),107306(a,1,2,1)),rewrite(168996(10)),flip(a)]. 169474 x \ ((x / y) / (z / (y * (y * x)))) = (y * x) / z. [back_rewrite(161898),rewrite(169333(5),37(6),169413(7),115917(8)),flip(a)]. 169495 (x / (y \ (z * y))) * z = ((z * y) / x) \ (y * z). [back_rewrite(132933),rewrite(169333(8))]. 169522 (x / (y * z)) * (z * y) = ((y * z) / x) \ (z * y). [back_rewrite(96870),rewrite(169333(8))]. 169527 A * (((D * C) / B) \ (C * D)) != ((D * C) / (A * B)) \ (C * D). [back_rewrite(96841),rewrite(169333(10),169333(22))]. 169528 ((x * y) / z) \ (y * x) = (y / z) \ (x \ (y * x)). [back_rewrite(96840),rewrite(169333(5),138565(6),169333(8)),flip(a)]. 169547 x \ ((y / x) \ (z \ (y * z))) = y \ (z \ (y * z)). [back_rewrite(15211),rewrite(169333(4),169528(4))]. 169552 x / (y \ (z * (z * y))) = (y / x) \ (z \ (z \ y)). [back_rewrite(162241),rewrite(169354(4),42105(8),165950(7),146550(5),153885(6),477(3),138565(6)),flip(a)]. 169737 (x * y) / (z / (y * x)) = x / (z / (y * (y * x))). [back_rewrite(169360),rewrite(169413(7),115917(8),169474(8),169413(8))]. 169794 A * ((C / B) \ (D \ (C * D))) != (C / (A * B)) \ (D \ (C * D)). [back_rewrite(169527),rewrite(169528(10),169528(22))]. 169799 (x / (y * z)) * (z * y) = (z / x) \ (y \ (z * y)). [back_rewrite(169522),rewrite(169528(8))]. 169813 (x / (y \ (z * y))) * z = (y / x) \ (z \ (y * z)). [back_rewrite(169495),rewrite(169528(8))]. 169832 x / (y \ (z \ (y * z))) = (z / x) \ (y \ (z * y)). [back_rewrite(169333),rewrite(169528(8))]. 169889 (x \ (x / y)) \ (z \ (z \ x)) = y * (z \ (z \ x)). [back_rewrite(162136),rewrite(169552(5),1171(2))]. 169910 x * (y \ (z \ (z \ y))) = (y / x) \ (z \ (z \ y)). [back_rewrite(105827),rewrite(169552(8))]. 170440 (x \ y) * ((y \ x) / z) = (y \ x) / (z / (x \ y)). [para(80340(a,1),107308(a,1,1,2)),rewrite(149351(5),566(3),2272(3),1371(3)),flip(a)]. 170448 (x \ (x / y)) * (y / z) = y / (z / (x \ (x / y))). [para(89568(a,1),107308(a,1,1,2)),rewrite(149351(6),108206(4),95784(3),38(4),6(3),4(2)),flip(a)]. 170584 (x \ y) \ ((x * (y \ (y / x))) / z) = (x \ y) \ ((x \ y) / (z / (y \ x))). [back_rewrite(167691),rewrite(170440(5)),flip(a)]. 170589 x \ ((y * (x \ (x / y))) / z) = x \ (x / (z / (y \ (y / x)))). [back_rewrite(160414),rewrite(170448(4)),flip(a)]. 170624 (x \ y) \ ((x \ y) / ((z / (x \ y)) / (y \ x))) = (y * (x \ (x / y))) / z. [back_rewrite(169351),rewrite(170584(8))]. 170628 x \ (x / ((y / x) / (z \ (z / x)))) = (x * (z \ (z / x))) / y. [back_rewrite(169353),rewrite(170589(6))]. 170816 (x / y) / (x / z) = x / (x / (y \ z)). [para(107948(a,1),81924(a,2)),rewrite(46508(4),1146(5),162971(4),71666(3),38(5),37(4),854(3)),flip(a)]. 172545 ((x * y) \ (z * (x * y))) / y = ((x \ z) \ y) \ x. [para(196(a,1),111319(a,1,1)),rewrite(202(7),83753(9),162509(9),4(10))]. 172591 (x \ y) \ (((x \ y) * z) * y) = y \ (x * ((y \ x) \ (z * y))). [para(1268(a,1),111319(a,1,1,2)),rewrite(429(7),202(5),17457(5),165683(5),16185(11),117213(11),30813(10))]. 172601 (x * i(y)) \ (((x / y) / y) * z) = y \ ((x * y) \ (x * (y * z))). [para(2545(a,1),111319(a,2,2,1)),rewrite(81093(5),427(7),300(5),188(2),115917(5),115928(3),115927(4)),flip(a)]. 172603 x \ ((x / y) / ((z \ x) / y)) = y * ((x * y) \ z). [para(3445(a,1),111319(a,2,2,1)),rewrite(429(8),202(6),188(5),165676(6),165742(9)),flip(a)]. 172621 x \ ((y * x) \ (y * (x * z))) = y * ((x * y) \ z). [para(428(a,1),111319(a,1,1)),rewrite(132287(6),33639(3),165738(6),172601(6),1055(11),306(11),40(10),30828(11),165680(10),172603(10))]. 172774 ((x \ y) / z) * (y * x) = x \ ((z / y) \ (y * x)). [back_rewrite(136454),rewrite(172545(5),926(4),1378(5),16765(3)),flip(a)]. 172820 (x * y) \ ((x / y) * z) = y \ ((x \ (x / y)) * z). [back_rewrite(167604),rewrite(172621(7),4(6))]. 173511 (x / (y \ z)) \ (z * y) = y \ ((x / z) \ (z * y)). [para(112616(a,1),1055(a,2,1)),rewrite(115917(4),116478(4),172774(4)),flip(a)]. 173628 ((x \ (x / y)) / (z / (x \ (x / y)))) \ (y \ (y \ (x \ y))) = z / (y \ x). [para(6639(a,1),112616(a,2,2)),rewrite(107033(11),16012(10),37121(9),70062(9),123576(10))]. 173699 (x \ ((y / z) \ (z * x))) / u = (x \ z) / ((u / (z * x)) * y). [para(112616(a,1),40054(a,1,1,1)),rewrite(173511(4),45625(11),115917(12),116478(12))]. 173719 (x / y) * (z / (z \ y)) = x / (z \ (y / (y \ z))). [para(51936(a,1),112616(a,1,2)),rewrite(138877(6),121607(7))]. 173780 (x * y) \ (((x * y) * z) * u) = (y \ x) \ (((y \ x) * z) * u). [para(111319(a,1),112616(a,2)),rewrite(160001(5),98737(5))]. 173878 ((x \ y) \ ((y \ x) * (y / z))) \ (y \ x) = (z * (x \ (x / y))) / (y \ x). [back_rewrite(159862),rewrite(173699(5),134673(4),167689(5))]. 173960 x \ (y * ((x \ y) \ (z * x))) = (y / z) \ (y * x). [back_rewrite(165735),rewrite(173780(5),172591(5))]. 174043 (x \ y) \ (((x \ y) * z) * y) = (x / z) \ (x * y). [back_rewrite(172591),rewrite(173960(10))]. 175933 ((x * (x * y)) / z) \ y = (y / z) \ (x \ (x \ y)). [para(11237(a,1),1935(a,2,2,2)),rewrite(156299(5),47685(4),4(5),154668(4),169910(9),121607(9),11139(7),169552(8),3(10))]. 176054 (x * y) \ (x * (z * (z * y))) = y \ (z * (z * y)). [back_rewrite(117045),rewrite(175933(4),145746(5)),flip(a)]. 176221 (x \ ((x / y) / z)) \ (y \ (y \ x)) = z * (y \ x). [back_rewrite(89917),rewrite(176054(7),169552(6),167929(3))]. 177040 ((x * y) / z) \ ((x / u) / z) = (x / z) \ (((x / y) / u) / z). [para(115917(a,1),496(a,1,1,2)),rewrite(496(5)),flip(a)]. 177144 (x * y) \ (((x / z) / x) \ z) = x \ ((x / y) / (z \ (x / z))). [para(47475(a,1),115917(a,1,2))]. 177674 (x \ (i(x) \ y)) \ ((y * i(x)) * z) = y \ ((y / x) * z). [para(1282(a,1),115927(a,2,1)),rewrite(427(7),300(5),202(4),309(4),116076(5),1146(2),132340(5)),flip(a)]. 177831 x \ ((x * y) / ((x * z) \ (x * u))) = (y * x) / (z \ (u * x)). [para(115927(a,1),107306(a,1,2,2))]. 177838 (x \ (y * z)) / (u \ z) = ((z / y) * x) \ (z * u). [para(115927(a,1),112616(a,1,1,2)),rewrite(121637(4)),flip(a)]. 179089 ((x \ (x / y)) / z) \ (y \ ((y / x) \ x)) = z * (x / (x \ y)). [para(926(a,1),115943(a,1,1,1)),rewrite(16012(6),1146(5),1602(9))]. 179588 ((x \ y) \ ((y \ x) * z)) \ (y \ x) = ((y \ x) * z) \ (y * (x \ (x / y))). [para(48046(a,1),116076(a,2,2)),rewrite(80340(3),167710(4))]. 179594 x \ ((x / y) / (z \ (x / z))) = y \ (z / (z \ x)). [para(51936(a,1),116076(a,2,2)),rewrite(13268(4),158138(5),38(4),177144(8)),flip(a)]. 179646 (((x * y) * z) * u) \ x = (x * u) \ ((x / z) / y). [para(115936(a,1),116076(a,1,1,1)),rewrite(3(9))]. 179741 ((x \ y) * (x / z)) \ (x * (y \ (y / x))) = (z * (y \ (y / x))) / (x \ y). [back_rewrite(173878),rewrite(179588(7))]. 179801 (x \ (y \ (z \ u))) / u = (u * x) \ ((u / y) / z). [back_rewrite(168318),rewrite(179646(8))]. 180519 x \ ((x / y) / ((x * z) \ (x * u))) = (y \ x) / (z \ (u * x)). [para(115927(a,1),116478(a,1,2,2))]. 182156 (x \ y) / ((x / z) \ (x * y)) = (y \ (y / x)) / z. [para(926(a,1),116669(a,2,1)),rewrite(174043(6))]. 183478 (x * y) / ((x \ y) \ z) = x / ((x \ y) \ (z / y)). [para(15876(a,1),116999(a,1,2)),rewrite(162219(4),169552(8),153860(5),169889(8),57686(6),3(4),149435(8)),flip(a)]. 183610 (x * y) * (z \ (x \ y)) = x / ((x \ y) \ (z / y)). [back_rewrite(149435),rewrite(183478(8))]. 183806 (x \ (y \ z)) / (y \ (z / (z \ y))) = ((y \ z) * x) \ (y * (z \ (z / y))). [para(48046(a,1),117179(a,2,2)),rewrite(80338(5))]. 183886 (x \ y) / ((y * z) \ (y * u)) = (y * x) \ (y * ((y / u) * z)). [para(116076(a,1),117179(a,1,2))]. 185698 (x / y) \ (y \ ((z / y) \ x)) = ((x / y) \ i(z)) * x. [para(1282(a,1),121637(a,1,2,1)),rewrite(177674(9),364(6),300(5),202(4),203(3),42285(5),364(8))]. 185774 (x * y) / (z \ (u * y)) = (y / x) \ ((y / u) * z). [para(121637(a,1),81316(a,1,2)),rewrite(177831(10)),flip(a)]. 185791 (x \ y) / (z \ (u * y)) = (y * x) \ ((y / u) * z). [para(121637(a,1),115917(a,1,2)),rewrite(180519(10)),flip(a)]. 186036 (x / ((y / z) \ u)) * z = (z / x) \ ((z / u) * y). [back_rewrite(143477),rewrite(185774(8))]. 186111 x \ (x / (y / (z \ (z / x)))) = (z \ (z / x)) / y. [back_rewrite(182156),rewrite(185791(5),172820(5),170448(4))]. 186184 (x * (y \ (y / x))) / z = (y \ (y / x)) / (z / x). [back_rewrite(170628),rewrite(186111(6)),flip(a)]. 186226 (x \ y) \ ((x \ y) / ((z / (x \ y)) / (y \ x))) = (x \ (x / y)) / (z / y). [back_rewrite(170624),rewrite(186184(12))]. 186227 (x \ y) \ ((x \ y) / (z / (y \ x))) = (y \ x) / z. [back_rewrite(170584),rewrite(186184(5),162044(6),116478(4)),flip(a)]. 186244 (x * (y \ z)) / (z \ y) = x / (z \ (y / (y \ z))). [back_rewrite(162288),rewrite(186184(4),179089(8),173719(4)),flip(a)]. 186276 (x * (y \ (y / x))) \ i(z) = (x \ (x / y)) / (z / y). [back_rewrite(147257),rewrite(186184(9))]. 186288 (x \ (x / y)) / (z / y) = (y \ x) / (z / (x \ y)). [back_rewrite(186226),rewrite(186227(8)),flip(a)]. 186354 (x \ y) \ (((x \ y) * z) / (y \ (x / (x \ y)))) = z / (y \ (x / (x \ y))). [back_rewrite(169389),rewrite(186244(12))]. 186359 ((x \ y) * z) / (y \ (x / (x \ y))) = (((y / ((y \ x) / z)) / x) \ x) \ y. [back_rewrite(159590),rewrite(186244(6))]. 186361 x * (y \ (z / (z \ y))) = x / (z \ (y / (y \ z))). [back_rewrite(159527),rewrite(186244(8))]. 186373 (x * (y \ (y / x))) \ i(z) = (y \ x) / (z / (x \ y)). [back_rewrite(186276),rewrite(186288(9))]. 186416 (x * (y \ (y / x))) / z = (x \ y) / (z / (y \ x)). [back_rewrite(186184),rewrite(186288(8))]. 186483 x / (y \ (z / (z \ y))) = ((y \ z) / x) \ (z \ y). [back_rewrite(186354),rewrite(186359(7),32223(8),98737(5),3326(6),69380(6),69380(5),4(4)),flip(a)]. 186492 x * (y \ (z / (z \ y))) = ((z \ y) / x) \ (y \ z). [back_rewrite(186361),rewrite(186483(8))]. 186505 ((x \ y) * z) \ (x * (y \ (y / x))) = z \ (y \ x). [back_rewrite(183806),rewrite(186483(6),37(4)),flip(a)]. 186511 (x / y) * (z / (z \ y)) = ((z \ y) / x) \ (y \ z). [back_rewrite(173719),rewrite(186483(8))]. 186520 (x * (y \ (y / z))) / (z \ y) = (z / x) \ (y \ z). [back_rewrite(179741),rewrite(186505(7)),flip(a)]. 186897 i(x) * (y * (z * y)) = (z \ (y \ x)) \ y. [para(123576(a,1),3326(a,1,1)),rewrite(152215(8),202(6),2278(7)),flip(a)]. 188386 (x / (y \ (z / (z \ u)))) * z = (z / x) \ ((u * (z \ y)) * z). [para(76099(a,1),131436(a,1,1,2))]. 189772 ((x \ (x / y)) / z) \ (y \ (y \ (x \ y))) = (y / z) \ (x \ y). [para(6639(a,1),132287(a,1,2)),rewrite(186520(5),107033(11),16012(10),37121(9),70062(9),123576(10)),flip(a)]. 189785 ((x * y) / z) \ (((x / y) / x) \ y) = z * (x \ y). [para(15876(a,1),132287(a,1,2)),rewrite(169552(6),167929(3),176221(6),98896(7),47475(7)),flip(a)]. 190006 (x / (y / (z \ (z / x)))) \ (z \ x) = y / (x \ z). [back_rewrite(173628),rewrite(189772(10))]. 190975 (x \ y) \ (z / (z \ x)) = y \ (((x / z) / x) \ z). [para(47475(a,1),134650(a,2,2)),rewrite(179594(6))]. 203354 (x * (y \ (y / x))) \ ((x \ (x / y)) \ i(z)) = y / z. [para(8952(a,1),138847(a,1,1)),rewrite(16945(8),202(7),186373(7),107701(7),156350(4),1390(3),1042(8),183610(8),35(6),24(7),300(6),1171(7),305(6),16945(8)),flip(a)]. 204164 (x \ y) / (z / (y \ x)) = x / (z / (y \ (y / x))). [para(18959(a,1),13538(a,1,1)),rewrite(160254(9),111319(8),48203(9),16945(9),203354(10),170448(4),186373(9)),flip(a)]. 204269 (x * (y \ (y / x))) / z = x / (z / (y \ (y / x))). [back_rewrite(186416),rewrite(204164(8))]. 211465 x \ ((i(y) \ z) / x) = (y \ x) \ (z / x). [para(2278(a,1),30774(a,1,2)),rewrite(186897(6),38(2),203(5),42285(7),3326(7),152215(7),376(8),2530(8)),flip(a)]. 215996 ((x / y) / (z / y)) * z = z \ (y * ((y \ z) * x)). [para(30813(a,1),42285(a,1,1)),rewrite(118741(4),364(7),81566(8))]. 218170 ((x \ y) / z) \ (y \ x) = (y / z) \ (x / (x \ y)). [para(51901(a,1),16860(a,1,2,2)),rewrite(186492(7),429(5),300(3),122089(5),160198(7),169309(5),153728(5),13259(4),188386(6),112878(4),13211(4),13268(5),38(5),274(7),186511(8)),flip(a)]. 218207 x * (y \ (z / (z \ y))) = (y / x) \ (z / (z \ y)). [back_rewrite(186492),rewrite(218170(8))]. 218209 x / (y \ (z / (z \ y))) = (z / x) \ (y / (y \ z)). [back_rewrite(186483),rewrite(218170(8))]. 220378 (x / (y / (x \ z))) \ (z / (z \ x)) = y / (z \ x). [para(80340(a,1),69111(a,2,2)),rewrite(300(2),117213(4),1133(3),305(2),119656(4),1133(2),132037(3),1133(2),204269(4),190006(6),218207(8)),flip(a)]. 231094 ((i(x) \ y) * z) \ (x * u) = ((x \ y) * z) \ (i(x) * u). [para(2289(a,1),138544(a,2,2,1)),rewrite(4(4),155363(10),277(8),300(7),177838(10),305(7)),flip(a)]. 237794 (x / (x \ (i(y) \ z))) / u = ((y \ x) \ (z / x)) \ i(u). [para(211465(a,1),376(a,2,1)),rewrite(203(4),300(3),6770(5),305(2))]. 247514 x \ (y \ (i(y) \ (i(x) \ z))) = (z / (y \ x)) / (x \ y). [para(80340(a,1),112509(a,1,1,2)),rewrite(218209(6),220378(6),168242(9),149351(11),22344(9),215996(10),154758(9),42105(12),185698(11),203(8),203(7),319(8),37297(8),1282(9)),flip(a)]. 247536 (x / (y / z)) / (z / y) = (x / (z \ y)) / (y \ z). [para(674(a,1),112762(a,1,1,2,2)),rewrite(929(3),426(3),177838(6),17453(6),674(10),929(10),426(10),203(8),231094(10),17456(10))]. 248867 (x \ y) * (x / (y \ z)) = x \ (((z / x) / y) \ y). [para(73462(a,1),134195(a,1,2,1)),rewrite(427(9),202(6),188(5),23032(4),37721(8),305(8),149334(9),277(9),203(8),300(7),203(6),2786(8))]. 249211 (x / (y \ z)) / (z \ y) = z / (y \ (y / (z \ x))). [para(80338(a,1),139338(a,1,1,2)),rewrite(218207(6),82248(3),190975(6),189785(6),150293(4),150293(11),248867(12),22344(9),77496(8),146515(9),1146(7),98737(7),4001(7),237794(9),87458(9),1133(9),427(8),305(7),247514(10)),flip(a)]. 249223 (x / (y / z)) / (z / y) = y / (z \ (z / (y \ x))). [back_rewrite(247536),rewrite(249211(8))]. 252231 (x / y) / (z / (y * (y * x))) = (x * y) / (z / x). [para(169474(a,1),3(a,1,2)),rewrite(20960(3)),flip(a)]. 252274 x * ((y / z) \ (u \ (y * u))) = (y / (x * z)) \ (u \ (y * u)) # label("orig"). [para(169737(a,1),1366(a,1,2,2,1)),rewrite(169799(4),477(9),177040(18),252231(16),128772(16),249223(15),108343(14),183886(13),186036(11),169813(10),154824(14),179801(9),129698(8),477(7),168157(9),112526(8),170816(5),38(3),112473(5),146515(7),169799(5),169547(6),169832(5),169547(6),169832(5),169799(9)),flip(a)]. 252275 $F. [resolve(252274,a,169794,a)]. ============================== end of proof ========================== ============================== STATISTICS ============================ Given=3809. Generated=12001514. Kept=252263. proofs=1. Usable=3198. Sos=71273. Demods=74185. Limbo=0, Disabled=177814. Hints=1. Weight_deleted=615832. Literals_deleted=0. Forward_subsumed=3614710. Back_subsumed=583. Sos_limit_deleted=7518709. Sos_displaced=0. Sos_removed=0. New_demodulators=251547 (0 lex), Back_demodulated=177208. Back_unit_deleted=0. Demod_attempts=652616278. Demod_rewrites=114307629. Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0. Nonunit_fsub_feature_tests=0. Nonunit_bsub_feature_tests=0. Megabytes=216.74. User_CPU=1044.23, System_CPU=4.27, Wall_clock=1049. ============================== end of statistics ===================== ============================== end of search ========================= ibuf_write, increasing buf size from 40000 to 80000 ibuf_write, increasing buf size from 80000 to 160000 Exiting with 1 proof. ------ process 32201 exit (max_proofs) ------ Process 32201 exit (max_proofs) Mon May 21 11:54:45 2007 ibuf_write, increasing buf size from 40000 to 80000 ibuf_write, increasing buf size from 80000 to 160000 Successful proof using the following 10 assumptions: formulas(assumptions_in_proof). x * (y * ((z * y) \ (y * z))) = (x * y) * ((z * y) \ (y * z)) # label("BC"). [assumption]. x * (y * ((y * z) \ (z * y))) = (x * y) * ((y * z) \ (z * y)) # label("DB"). [assumption]. x * (y * ((x * z) \ (z * x))) = (x * y) * ((x * z) \ (z * x)) # label("AD"). [assumption]. x * (y * ((z * x) \ (x * z))) = (x * y) * ((z * x) \ (x * z)) # label("CA"). [assumption]. x * (x * ((y * z) \ (z * y))) = (x * x) * ((y * z) \ (z * y)) # label("BA"). [assumption]. i(x) = x \ 1. [assumption]. i(x) = 1 / x. [assumption]. x * i(x) = 1. [assumption]. i(x) * x = 1. [assumption]. x * i(y * x) = i(y). [assumption]. end_of_list. Including 9539 new hint clauses: formulas(new_hints). 1 * x = x. x * 1 = x. x * (x \ y) = y. x \ (x * y) = y. (x * y) / y = x. (x / y) * y = x. ((x * y) / x) * (x * z) = x * (y * z) # label(LCC). (x * y) * (y \ (z * y)) = (x * z) * y # label(RCC). A * (B * ((D * C) \ (C * D))) != (A * B) * ((D * C) \ (C * D)) # label("orig"). (A * B) * ((D * C) \ (C * D)) != A * (B * ((D * C) \ (C * D))). x * (y * ((z * y) \ (y * z))) = (x * y) * ((z * y) \ (y * z)) # label("BC"). (x * y) * ((z * y) \ (y * z)) = x * (y * ((z * y) \ (y * z))). x * (y * ((y * z) \ (z * y))) = (x * y) * ((y * z) \ (z * y)) # label("DB"). (x * y) * ((y * z) \ (z * y)) = x * (y * ((y * z) \ (z * y))). x * (y * ((x * z) \ (z * x))) = (x * y) * ((x * z) \ (z * x)) # label("AD"). (x * y) * ((x * z) \ (z * x)) = x * (y * ((x * z) \ (z * x))). x * (y * ((z * x) \ (x * z))) = (x * y) * ((z * x) \ (x * z)) # label("CA"). (x * y) * ((z * x) \ (x * z)) = x * (y * ((z * x) \ (x * z))). x * (x * ((y * z) \ (z * y))) = (x * x) * ((y * z) \ (z * y)) # label("BA"). (x * x) * ((y * z) \ (z * y)) = x * (x * ((y * z) \ (z * y))). i(x) = x \ 1. x \ 1 = i(x). i(x) = 1 / x. 1 / x = i(x). x * i(x) = 1. i(x) * x = 1. x * i(y * x) = i(y). x = 1 \ x. 1 \ x = x. x \ x = 1. x / x = 1. x / 1 = x. x / (y \ x) = y. (x / y) \ x = y. (x / y) * (y * z) = y * ((y \ x) * z). ((x * y) / x) * z = x * (y * (x \ z)). ((x * y) / x) \ (x * (y * z)) = x * z. (x * (y * z)) / (x * z) = (x * y) / x. x * ((y \ x) \ (z * (y \ x))) = (y * z) * (y \ x). (x * (y \ z)) * ((y \ z) \ z) = (x * y) * (y \ z). (x * y) \ ((x * z) * y) = y \ (z * y). ((x * y) * z) / (z \ (y * z)) = x * z. x * (y \ (z * y)) = ((x / y) * z) * y. ((x / y) * z) * y = x * (y \ (z * y)). (x * y) * (y \ z) = (x * (z / y)) * y. (x * (y / z)) * z = (x * z) * (z \ y). (x * (y \ (z * y))) * ((y \ (z * y)) \ ((u * z) * y)) = (x * (u * y)) * (y \ (z * y)). x * (y * ((x * y) \ (y * x))) = y * x. x * ((y * z) \ (z * y)) = (x / z) * (z * ((y * z) \ (z * y))). x * ((y * z) \ (z * y)) = z * ((z \ x) * ((y * z) \ (z * y))). x * ((x \ y) * ((z * x) \ (x * z))) = y * ((z * x) \ (x * z)). x * ((y * z) \ (z * y)) = (x / y) * (y * ((y * z) \ (z * y))). x * ((y * z) \ (z * y)) = y * ((y \ x) * ((y * z) \ (z * y))). x * ((x \ y) * ((x * z) \ (z * x))) = y * ((x * z) \ (z * x)). (x * y) \ (x * (y * ((x * z) \ (z * x)))) = (x * z) \ (z * x). (x * (y * ((x * z) \ (z * x)))) / ((x * z) \ (z * x)) = x * y. x * (((x / y) * z) \ (z * (x / y))) = (x / y) * (y * (((x / y) * z) \ (z * (x / y)))). x * (((x / y) * z) \ (z * (x / y))) = y * ((y \ x) * (((x / y) * z) \ (z * (x / y)))). x * ((x \ y) * (((y / x) * z) \ (z * (y / x)))) = y * (((y / x) * z) \ (z * (y / x))). x * ((y * (x / z)) \ ((x / z) * y)) = (x / z) * (z * ((y * (x / z)) \ ((x / z) * y))). x * ((y * (x / z)) \ ((x / z) * y)) = z * ((z \ x) * ((y * (x / z)) \ ((x / z) * y))). x * ((x \ y) * ((z * (y / x)) \ ((y / x) * z))) = y * ((z * (y / x)) \ ((y / x) * z)). (x * (x * ((y * z) \ (z * y)))) / ((y * z) \ (z * y)) = x * x. 1 = i(1). i(1) = 1. 1 / i(x) = x. i(i(x)) = x. 1 * (i(x) \ (y * i(x))) = (x * y) * i(x). i(x) \ (y * i(x)) = (x * y) * i(x). (x * i(y)) * (i(y) \ 1) = (x * y) * i(y). (x * i(y)) * i(i(y)) = (x * y) * i(y). (x * i(y)) * y = (x * y) * i(y). (x * i(x * y)) * (i(x * y) \ (y * i(x * y))) = 1. (x * i(x * y)) * (i(x * y) \ i(x)) = 1. 1 * (x \ (y * x)) = (i(x) * y) * x. x \ (y * x) = (i(x) * y) * x. (i(x) * y) * x = x \ (y * x). (x \ y) * i(y) = i(x). x \ i(y) = i(y * x). i(x * y) = y \ i(x). x * i(y) = i(y / x). i(x / y) = y * i(x). (x \ (y * x)) * i((z * y) * x) = i(z * x). (x \ (y * x)) * (x \ i(z * y)) = i(z * x). (x \ (y * x)) * (x \ (y \ i(z))) = i(z * x). (x \ (y * x)) * (x \ (y \ i(z))) = x \ i(z). i(x * y) * i(i(x)) = i(y). (y \ i(x)) * i(i(x)) = i(y). (x \ i(y)) * y = i(x). (x * (y \ i(x))) * (i(x * y) \ i(x)) = 1. (x * (y \ i(x))) * ((y \ i(x)) \ i(x)) = 1. (x * y) * (y \ i(x)) = 1. (x \ y) \ i(x) = i(y). i(x) * (i(y) \ (z * i(y))) = ((x \ y) * z) * i(y). i(x) * ((y * z) * i(y)) = ((x \ y) * z) * i(y). (x * i(y)) * (i(y) \ i(z)) = (x * (z \ y)) * i(y). i(x) * ((y * i(z)) \ (i(z) * y)) = (x \ z) * (i(z) * ((y * i(z)) \ (i(z) * y))). (x \ y) * (i(y) * ((z * i(y)) \ (i(y) * z))) = i(x) * ((z * i(y)) \ (i(y) * z)). i(x) * ((i(y) * z) \ (z * i(y))) = (x \ y) * (i(y) * ((i(y) * z) \ (z * i(y)))). (x \ y) * (i(y) * ((i(y) * z) \ (z * i(y)))) = i(x) * ((i(y) * z) \ (z * i(y))). i(x * (y * ((x * z) \ (z * x)))) = ((x * z) \ (z * x)) \ i(x * y). (y * ((x * z) \ (z * x))) \ i(x) = ((x * z) \ (z * x)) \ i(x * y). (x * ((y * z) \ (z * y))) \ i(y) = ((y * z) \ (z * y)) \ (x \ i(y)). (x \ (y * z)) * (z \ i(y)) = i(x). (x / y) * z = y * ((y \ x) * (y \ z)). x * ((x \ y) * (x \ z)) = (y / x) * z. (x / y) \ (y * ((y \ x) * z)) = y * z. x * (y * z) = y * ((y \ (x * y)) * z). x * ((x \ (y * x)) * z) = y * (x * z). (x / (y / z)) * y = (y / z) * (((y / z) \ x) * z). (x / y) * (((x / y) \ z) * y) = (z / (x / y)) * x. (x / (y * z)) * ((y * u) * z) = (y * z) * (((y * z) \ x) * (z \ (u * z))). (x * y) * (((x * y) \ z) * (y \ (u * y))) = (z / (x * y)) * ((x * u) * y). (1 / x) * (x * y) = x * (i(x) * y). i(x) * (x * y) = x * (i(x) * y). x * ((x \ y) * z) = (x \ y) * (((x \ y) \ y) * z). (x \ y) * (((x \ y) \ y) * z) = x * ((x \ y) * z). (x / (y \ z)) * i(y) = (y \ z) * (((y \ z) \ x) * i(z)). (x \ y) * (((x \ y) \ z) * i(y)) = (z / (x \ y)) * i(x). i(x * ((x \ y) * z)) = (x * z) \ i(y / x). ((x \ y) * z) \ i(x) = (x * z) \ i(y / x). ((x \ y) * z) \ i(x) = (x * z) \ (x * i(y)). (x * i(y)) * (y / x) = 1. i(x * i(y)) = y / x. i(x) \ i(y) = x / y. (x \ (y / z)) * (z * i(y)) = i(x). (x * i(y)) * (y / z) = (x * (z \ y)) * i(y). (x * (y \ z)) * i(z) = (x * i(z)) * (z / y). i(x) / y = x \ i(y). i(x) * (y \ (z * y)) = ((x \ i(y)) * z) * y. ((x \ i(y)) * z) * y = i(x) * (y \ (z * y)). (x * y) * (y \ i(z)) = (x * (z \ i(y))) * y. (x * (y \ i(z))) * z = (x * z) * (z \ i(y)). (x / (y \ i(z))) * i(y) = (y \ i(z)) * (((y \ i(z)) \ x) * z). (x \ i(y)) * (((x \ i(y)) \ z) * y) = (z / (x \ i(y))) * i(x). (x \ (y * i(z))) * (z / y) = i(x). (i(x) \ y) \ x = i(y). i(x) * i(i(y)) = i(y \ x). i(x) * y = i(y \ x). i(x \ y) = i(y) * x. ((x * y) \ z) \ (y \ i(x)) = i(z). ((x / y) \ z) \ (y * i(x)) = i(z). i(x) * (x / y) = i(y). i(x) \ y = x / i(y). x / i(y) = i(x) \ y. (x \ i(y)) \ i(z) = (y * x) / z. i(x) \ (y \ i(z)) = x / (z * y). (i(x) / i(y)) * (i(y) * z) = i(y) * ((y / x) * z). (i(i(x)) \ y) * (i(y) * z) = i(y) * ((y / x) * z). (x \ y) * (i(y) * z) = i(y) * ((y / x) * z). (x * i(y)) \ i(z) = (y / x) / z. i(x) \ (y * i(z)) = x / (z / y). i(x) * ((x / y) * ((i(x) * z) \ (z * i(x)))) = i(y) * ((i(x) * z) \ (z * i(x))). i(x) * ((x / y) * ((z * i(x)) \ (i(x) * z))) = i(y) * ((z * i(x)) \ (i(x) * z)). x / (x / y) = (x * y) * i(x). (x * y) * i(x) = x / (x / y). i(x) * (y / (y / z)) = ((x \ y) * z) * i(y). ((x \ y) * z) * i(y) = i(x) * (y / (y / z)). x * (y * (x \ 1)) = (x * y) / x. x * (y * i(x)) = (x * y) / x. x * (y * (x \ (((x * y) / x) \ z))) = z. (x * (y * (x \ z))) / z = (x * y) / x. (x / (x / y)) * z = (x / y) * (y * ((x / y) \ z)). (x / (x / y)) * z = y * ((y \ x) * ((x / y) \ z)). x * ((x \ y) * ((y / x) \ z)) = (y / (y / x)) * z. (x * y) * ((z * (u * (z \ y))) \ (y * ((z * u) / z))) = x * (y * ((((z * u) / z) * y) \ (y * ((z * u) / z)))). (x * y) * ((z * (u * (z \ y))) \ (y * ((z * u) / z))) = x * (y * ((z * (u * (z \ y))) \ (y * ((z * u) / z)))). (1 / x) * y = x * (i(x) * (x \ y)). i(x) * y = x * (i(x) * (x \ y)). x * (i(x) * (x \ y)) = i(x) * y. i(x * (y * (x \ z))) = z \ i((x * y) / x). (y * (x \ z)) \ i(x) = z \ i((x * y) / x). (y * (x \ z)) \ i(x) = z \ (x * i(x * y)). (x * (y \ z)) \ i(y) = z \ (y * (x \ i(y))). (i(x) / (x \ i(y))) * z = (x \ i(y)) * (y * ((x \ i(y)) \ z)). (x \ i(x \ i(y))) * z = (x \ i(y)) * (y * ((x \ i(y)) \ z)). (x \ (i(i(y)) * x)) * z = (x \ i(y)) * (y * ((x \ i(y)) \ z)). (x \ (y * x)) * z = (x \ i(y)) * (y * ((x \ i(y)) \ z)). (x \ i(y)) * (y * ((x \ i(y)) \ z)) = (x \ (y * x)) * z. ((i(x) * y) / i(x)) * i(z) = i(x) * (y * (x / z)). (i(i(x) * y) \ x) * i(z) = i(x) * (y * (x / z)). ((y \ i(i(x))) \ x) * i(z) = i(x) * (y * (x / z)). ((x \ y) \ y) * i(z) = i(y) * (x * (y / z)). (x \ i(y)) / z = (y * x) \ i(z). (x \ i(y)) * (y * z) = y * ((y \ i(x)) * z). (x * i(y)) / z = (y / x) \ i(z). x * ((x \ i(y)) * ((y \ i(x)) \ z)) = (y \ (x * y)) * z. ((x \ i(y)) \ z) \ (y * x) = i(z). ((x * i(y)) \ z) \ (y / x) = i(z). (i(x) * y) * (y \ x) = 1. (x \ (i(y) * z)) * (z \ y) = i(x). (i(x) * y) \ i(z) = (y \ x) / z. i(x) \ (i(y) * z) = x / (z \ y). (i(x) * y) / z = (y \ x) \ i(z). ((i(x) * y) \ z) \ (y \ x) = i(z). (x * (y / z)) * ((y / z) \ i(z)) = (x * i(y)) * (y / z). (x * i(y)) * (((y / z) * i(y)) \ i(z)) = x * (i(y) * (((y / z) * i(y)) \ (i(y) * (y / z)))). (x * i(y)) * ((y / (y / z)) / z) = x * (i(y) * (((y / z) * i(y)) \ (i(y) * (y / z)))). (x * i(y)) * ((y / (y / z)) / z) = x * (i(y) * (((y / z) * i(y)) \ i(z))). (x * i(y)) * ((y / (y / z)) / z) = x * (i(y) * ((y / (y / z)) / z)). (x \ i(y)) * ((y * x) / z) = i(z). (i(x) * y) * ((y \ x) / z) = i(z). ((x * y) / x) \ (x * z) = x * (y \ z). (x / (x / y)) \ ((x / y) * (y * z)) = (x / y) * z. (x / (x / y)) \ (y * ((y \ x) * z)) = (x / y) * z. ((x * y) / x) \ (x * 1) = x * i(y). ((x * y) / x) \ x = x * i(y). (x * y) \ i((x * z) / x) = i(x * (z * y)). (x * y) \ (x * i(x * z)) = i(x * (z * y)). (x * y) \ (x * (z \ i(x))) = i(x * (z * y)). (x * y) \ (x * (z \ i(x))) = (z * y) \ i(x). (i(x) / i(y)) \ (i(y) * ((y / x) * z)) = i(y) * z. (i(i(x)) \ y) \ (i(y) * ((y / x) * z)) = i(y) * z. (x \ y) \ (i(y) * ((y / x) * z)) = i(y) * z. x / (y \ i(z)) = i(x) \ (z * y). x / (y * i(z)) = i(x) \ (z / y). (i(i(x) * y) \ x) * z = i(x) * (y * (i(x) \ z)). ((y \ i(i(x))) \ x) * z = i(x) * (y * (i(x) \ z)). ((y \ x) \ x) * z = i(x) * (y * (i(x) \ z)). i(x) * (y * (i(x) \ z)) = ((y \ x) \ x) * z. x / (i(y) * z) = i(x) \ (z \ y). (x \ i(y)) * (((x \ i(y)) \ z) * y) = (i(z) \ (y * x)) * i(x). 1 * ((x \ i(y)) \ (z * (x \ i(y)))) = ((y * x) * z) * (x \ i(y)). (x \ i(y)) \ (z * (x \ i(y))) = ((y * x) * z) * (x \ i(y)). (x * (y \ i(z))) * ((y \ i(z)) \ 1) = (x * (z * y)) * (y \ i(z)). (x * (y \ i(z))) * i(y \ i(z)) = (x * (z * y)) * (y \ i(z)). (x * (y \ i(z))) * (i(i(z)) * y) = (x * (z * y)) * (y \ i(z)). (x * (y \ i(z))) * (z * y) = (x * (z * y)) * (y \ i(z)). ((x / y) * z) * (z \ (y * i(x))) = 1. (x * (y * i(z))) * ((z / y) / x) = 1. (x * (y \ z)) * ((y \ z) \ 1) = (x * (i(z) * y)) * (y \ z). (x * (y \ z)) * i(y \ z) = (x * (i(z) * y)) * (y \ z). (x * (y \ z)) * (i(z) * y) = (x * (i(z) * y)) * (y \ z). (x * (i(y) * z)) * (z \ y) = (x * (z \ y)) * (i(y) * z). ((x \ i(y)) * z) * (z \ (y * x)) = 1. (x * y) / (x * (z \ y)) = (x * z) / x. (x * y) / (x * z) = (x * (y / z)) / x. (x * (y / z)) / x = (x * y) / (x * z). ((x / y) * (y * z)) / ((x / y) * z) = x / (x / y). (x * ((x \ y) * z)) / ((y / x) * z) = y / (y / x). ((x * y) * (z * (y \ (u * y)))) / ((x * u) * y) = ((x * y) * z) / (x * y). (x * 1) / (x * i(y)) = (x * y) / x. x / (x * i(y)) = (x * y) / x. i(x) \ (y / x) = (x * y) / x. (x * 1) / (x * y) = (x * i(y)) / x. x / (x * y) = (x * i(y)) / x. x / (x * y) = (y / x) \ i(x). (x / y) \ i(y) = y / (y * x). (i(x) * (y * x)) / 1 = (i(x) * y) / i(x). i(x) * (y * x) = (i(x) * y) / i(x). i(x) * (y * x) = i(i(x) * y) \ x. i(x) * (y * x) = (y \ i(i(x))) \ x. i(x) * (y * x) = (y \ x) \ x. (x * i(y)) / (x * i(z)) = (x * (y \ z)) / x. i(x * i(y)) \ (z / x) = (x * (y \ z)) / x. (i(y) \ i(x)) \ (z / x) = (x * (y \ z)) / x. (y / x) \ (z / x) = (x * (y \ z)) / x. (x * (y \ z)) / x = (y / x) \ (z / x). ((x \ y) * (z * i(y))) / i(x) = ((x \ y) * z) / (x \ y). i((x \ y) * (z * i(y))) \ x = ((x \ y) * z) / (x \ y). ((z * i(y)) \ i(x \ y)) \ x = ((x \ y) * z) / (x \ y). ((x * i(y)) \ (i(y) * z)) \ z = ((z \ y) * x) / (z \ y). ((x \ i(y)) * (z * y)) / i(x) = ((x \ i(y)) * z) / (x \ i(y)). i((x \ i(y)) * (z * y)) \ x = ((x \ i(y)) * z) / (x \ i(y)). ((z * y) \ i(x \ i(y))) \ x = ((x \ i(y)) * z) / (x \ i(y)). ((z * y) \ (i(i(y)) * x)) \ x = ((x \ i(y)) * z) / (x \ i(y)). ((z * y) \ (y * x)) \ x = ((x \ i(y)) * z) / (x \ i(y)). ((z * y) \ (y * x)) \ x = i((x \ i(y)) * z) \ (y * x). ((z * y) \ (y * x)) \ x = (z \ i(x \ i(y))) \ (y * x). ((z * y) \ (y * x)) \ x = (z \ (i(i(y)) * x)) \ (y * x). ((x * y) \ (y * z)) \ z = (x \ (y * z)) \ (y * z). (x * (y * (z * (y \ u)))) / (x * u) = (x * ((y * z) / y)) / x. (x * (y * (z * (y \ u)))) / (x * u) = (x * (y * z)) / (x * y). (i(x) * (y * (x / z))) / i(z) = (i(x) * y) / i(x). i(i(x) * (y * (x / z))) \ z = (i(x) * y) / i(x). ((y * (x / z)) \ i(i(x))) \ z = (i(x) * y) / i(x). ((y * (x / z)) \ x) \ z = (i(x) * y) / i(x). ((y * (x / z)) \ x) \ z = i(i(x) * y) \ x. ((y * (x / z)) \ x) \ z = (y \ i(i(x))) \ x. ((x * (y / z)) \ y) \ z = (x \ y) \ y. (i(x) * (y * z)) / (i(x) * z) = i(i(x) * y) \ x. i(i(x) * (y * z)) \ (z \ x) = i(i(x) * y) \ x. ((y * z) \ i(i(x))) \ (z \ x) = i(i(x) * y) \ x. ((y * z) \ x) \ (z \ x) = i(i(x) * y) \ x. ((y * z) \ x) \ (z \ x) = (y \ i(i(x))) \ x. ((x * y) \ z) \ (y \ z) = (x \ z) \ z. ((x * y) * (z * (y \ i(x)))) / 1 = ((x * y) * z) / (x * y). (x * y) * (z * (y \ i(x))) = ((x * y) * z) / (x * y). ((i(x) * y) * (z * (y \ x))) / 1 = ((i(x) * y) * z) / (i(x) * y). (i(x) * y) * (z * (y \ x)) = ((i(x) * y) * z) / (i(x) * y). (i(x) * y) * (z * (y \ x)) = i((i(x) * y) * z) \ (y \ x). (i(x) * y) * (z * (y \ x)) = (z \ i(i(x) * y)) \ (y \ x). (i(x) * y) * (z * (y \ x)) = (z \ (y \ i(i(x)))) \ (y \ x). (i(x) * y) * (z * (y \ x)) = (z \ (y \ x)) \ (y \ x). (x * (y / z)) * (z / (z * y)) = (x * i(y)) * (y / z). (x \ (i(y) * z)) \ (i(y) * z) = ((z \ y) * x) / (z \ y). (i(x) * y) \ (x \ (y * x)) = x. (x \ (y * x)) / x = i(x) * y. (x \ (y * x)) * (x \ (z * x)) = ((i(x) * y) * z) * x. (x * y) * (y \ (y \ (z * y))) = (x * (i(y) * z)) * y. i(x \ (y * x)) = x \ i(i(x) * y). i(y * x) * x = x \ i(i(x) * y). (x \ i(y)) * x = x \ i(i(x) * y). (x \ i(y)) * x = x \ (y \ i(i(x))). (x \ i(y)) * x = x \ (y \ x). (x / (i(y) * z)) * (y \ (z * y)) = (i(y) * z) * (((i(y) * z) \ x) * y). (i(x) \ (z \ y)) * (y \ (z * y)) = (i(y) * z) * (((i(y) * z) \ x) * y). (i(x) * y) * (((i(x) * y) \ z) * x) = (i(z) \ (y \ x)) * (x \ (y * x)). i(x) * y = y \ ((y / x) * y). x \ ((x / y) * x) = i(y) * x. x * i(y) = y / (y / (y \ x)). x / (x / (x \ y)) = y * i(x). (x * y) \ (x / (x / y)) = i(x). x * i(x / y) = (x / y) / ((x / y) / y). x * (y * i(x)) = (x / y) / ((x / y) / y). (x * y) / x = (x / y) / ((x / y) / y). (x / y) / ((x / y) / y) = (x * y) / x. (x / (x / y)) * (i(x) \ (z * i(x))) = ((x * y) * z) * i(x). (x / (x / y)) * (x / (x / z)) = ((x * y) * z) * i(x). i(x) * i(x \ y) = (x \ y) / ((x \ y) / i(y)). i(x) * (i(y) * x) = (x \ y) / ((x \ y) / i(y)). (i(y) \ x) \ x = (x \ y) / ((x \ y) / i(y)). (i(y) \ x) \ x = (x \ y) / (i(x \ y) \ y). (i(y) \ x) \ x = (x \ y) / ((i(y) * x) \ y). (x \ y) / ((i(y) * x) \ y) = (i(y) \ x) \ x. i(x / (x / y)) = i(x) \ i(x * y). (x / y) * i(x) = i(x) \ i(x * y). (x / y) * i(x) = i(x) \ (y \ i(x)). (x / y) * i(x) = x / (x * y). ((x * y) * z) * (y \ i(x)) = (x * y) / ((x * y) / z). (x * ((x \ y) * z)) * i(y / x) = (y / x) / ((y / x) / (x * z)). (x * ((x \ y) * z)) * (x * i(y)) = (y / x) / ((y / x) / (x * z)). i(x) * i(x \ i(y)) = (x \ i(y)) / ((x \ i(y)) / y). i(x) * (i(i(y)) * x) = (x \ i(y)) / ((x \ i(y)) / y). i(x) * (y * x) = (x \ i(y)) / ((x \ i(y)) / y). (y \ x) \ x = (x \ i(y)) / ((x \ i(y)) / y). (y \ x) \ x = (x \ i(y)) / ((y * x) \ i(y)). (y \ x) \ x = i(x \ i(y)) \ (y * (y * x)). (y \ x) \ x = (i(i(y)) * x) \ (y * (y * x)). (y \ x) \ x = (y * x) \ (y * (y * x)). (x * y) \ (x * (x * y)) = (x \ y) \ y. ((x \ y) * z) * (i(y) * x) = (x \ y) / ((x \ y) / z). (x \ (y * x)) * i(i(x) * y) = (i(x) * y) / ((i(x) * y) / x). (x \ (y * x)) * (y \ i(i(x))) = (i(x) * y) / ((i(x) * y) / x). (x \ (y * x)) * (y \ x) = (i(x) * y) / ((i(x) * y) / x). (x \ (y * x)) * (y \ x) = (i(x) * y) / ((y \ x) \ i(x)). (x \ (y * x)) * (y \ x) = i(i(x) * y) \ (x * (y \ x)). (x \ (y * x)) * (y \ x) = (y \ i(i(x))) \ (x * (y \ x)). (x \ (y * x)) * (y \ x) = (y \ x) \ (x * (y \ x)). (x \ i(y)) \ (z * (x \ i(y))) = (y * x) / ((y * x) / z). x \ ((x * y) / x) = y * i(x). (x \ y) * (i(y) * i(x \ y)) = i(x) / (x \ y). (x \ y) * (i(y) * (i(y) * x)) = i(x) / (x \ y). i(y) * ((y / x) * (i(y) * x)) = i(x) / (x \ y). i(y) * ((y / x) * (i(y) * x)) = x \ i(x \ y). i(x) * ((x / y) * (i(x) * y)) = y \ (i(x) * y). i((x * y) / x) = (y * i(x)) \ i(x). x * i(x * y) = (y * i(x)) \ i(x). x * (y \ i(x)) = (y * i(x)) \ i(x). x * (y \ i(x)) = (x / y) / x. (x / y) * (z * (y * i(x))) = ((x / y) * z) / (x / y). ((i(x) * y) / i(x)) * ((y * i(i(x))) \ x) = 1. (i(i(x) * y) \ x) * ((y * i(i(x))) \ x) = 1. ((y \ i(i(x))) \ x) * ((y * i(i(x))) \ x) = 1. ((y \ x) \ x) * ((y * i(i(x))) \ x) = 1. ((x \ y) \ y) * ((x * y) \ y) = 1. ((i(x) * y) / i(x)) * x = x \ ((y * i(i(x))) * x). (i(i(x) * y) \ x) * x = x \ ((y * i(i(x))) * x). ((y \ i(i(x))) \ x) * x = x \ ((y * i(i(x))) * x). ((y \ x) \ x) * x = x \ ((y * i(i(x))) * x). ((x \ y) \ y) * y = y \ ((x * y) * y). x * (i(x) \ (y * i(x))) = (x * (i(i(x)) * y)) / x. x * (x / (x / y)) = (x * (i(i(x)) * y)) / x. x * (x / (x / y)) = (x * (x * y)) / x. ((x * y) / x) * i(x) = x / (x / (y * i(x))). x * (y * (x \ i(x))) = x / (x / (y * i(x))). x * (y * (x \ i(x))) = x / (i(x) \ (x / y)). (x * y) \ ((x / z) / x) = (z * y) \ i(x). (x * (y \ z)) \ i(y) = z \ ((y / x) / y). (x / y) \ y = y * i(y \ x). (x / y) \ y = y * (i(x) * y). x * (i(y) * x) = (y / x) \ x. (x / (x / y)) \ (x / y) = (x / y) * i(y). (1 / x) \ x = x * i(i(x)). i(x) \ x = x * i(i(x)). i(x) \ x = x * x. (1 / i(x)) \ i(x) = i(x) * i(x). (i(1) \ x) \ i(x) = i(x) * i(x). (1 \ x) \ i(x) = i(x) * i(x). x \ i(x) = i(x) * i(x). i(x) * i(x) = x \ i(x). (x * i(y)) * i(x) = i((x * y) / x). x / (x / i(y)) = i((x * y) / x). x / (i(x) \ y) = i((x * y) / x). x / (i(x) \ y) = x * i(x * y). x / (i(x) \ y) = x * (y \ i(x)). x / (i(x) \ y) = (x / y) / x. (i(x) / (x \ y)) \ (x \ y) = (x \ y) * i(i(y)). (x \ i(x \ y)) \ (x \ y) = (x \ y) * i(i(y)). (x \ (i(y) * x)) \ (x \ y) = (x \ y) * i(i(y)). (x \ (i(y) * x)) \ (x \ y) = (x \ y) * y. ((x * (y / z)) / x) \ x = x * (z * i(y)). ((x * y) / (x * z)) \ x = x * (z * i(y)). (i(x) * i(y)) * x = i((i(x) * y) / i(x)). x \ (i(y) * x) = i((i(x) * y) / i(x)). x \ (i(y) * x) = i(i(i(x) * y) \ x). x \ (i(y) * x) = i((y \ i(i(x))) \ x). x \ (i(y) * x) = i((y \ x) \ x). x \ (i(y) * x) = i(x) * (y \ x). i(x) * (y \ x) = x \ (i(y) * x). ((x * (y \ z)) / x) \ x = x * (i(z) * y). ((x / y) \ (z / y)) \ y = y * (i(z) * x). (i(x) / i(y)) \ i(y) = i(y) * i(y / x). (i(i(x)) \ y) \ i(y) = i(y) * i(y / x). (x \ y) \ i(y) = i(y) * i(y / x). (x \ y) \ i(y) = i(y) * (x * i(y)). i(x) * (y * i(x)) = (y \ x) \ i(x). (1 / (x * i(y))) \ (x * i(y)) = (x * i(y)) * i(y / x). (i(1) \ (y / x)) \ (x * i(y)) = (x * i(y)) * i(y / x). (1 \ (y / x)) \ (x * i(y)) = (x * i(y)) * i(y / x). (y / x) \ (x * i(y)) = (x * i(y)) * i(y / x). (y / x) \ (x * i(y)) = (x * i(y)) * (x * i(y)). (x * i(y)) * (x * i(y)) = (y / x) \ (x * i(y)). x * (y * (x \ i(x))) = (x / (x / y)) / x. x * ((y \ x) \ x) = (y * y) * (y \ x). (x * x) * (x \ y) = y * ((x \ y) \ y). x \ ((y * z) * (y \ x)) = (y \ x) \ (z * (y \ x)). (x \ y) \ (z * (x \ y)) = y \ ((x * z) * (x \ y)). x * ((y \ x) \ 1) = (y * i(y \ x)) * (y \ x). x * i(y \ x) = (y * i(y \ x)) * (y \ x). x * (i(x) * y) = (y * i(y \ x)) * (y \ x). x * (i(x) * y) = (y * (i(x) * y)) * (y \ x). x * (i(x) * y) = ((x / y) \ y) * (y \ x). ((x / y) \ y) * (y \ x) = x * (i(x) * y). i(x) \ ((y * z) * (y \ i(x))) = (x * y) / ((x * y) / z). (x \ (y * x)) * (y \ x) = x \ ((y * x) * (y \ x)). x / (x * x) = i(x). ((i(x) * y) / i(x)) * x = i(x) * (y * (x * x)). (i(i(x) * y) \ x) * x = i(x) * (y * (x * x)). ((y \ i(i(x))) \ x) * x = i(x) * (y * (x * x)). ((y \ x) \ x) * x = i(x) * (y * (x * x)). x \ ((y * x) * x) = i(x) * (y * (x * x)). i(x) * (y * (x * x)) = x \ ((y * x) * x). (i(x) * y) \ (y \ x) = (y \ x) * (y \ x). (x \ i(x)) * (i(x) \ (y * i(x))) = (i(x) * y) * i(x). (x \ i(x)) * (x / (x / y)) = (i(x) * y) * i(x). (x \ i(y)) * i(y * x) = (y * x) \ i(y * x). (x \ i(y)) * (x \ i(y)) = (y * x) \ i(y * x). (x \ i(y)) * (x \ i(y)) = (y * x) \ (x \ i(y)). (x * (y * i(z))) * ((((y * z) / y) \ y) \ y) = (x * ((y * z) / y)) * (((y * z) / y) \ y). (x * (y * i(z))) * ((y * i(z)) \ y) = (x * ((y * z) / y)) * (((y * z) / y) \ y). (x * (y * i(z))) * ((y * i(z)) \ y) = (x * ((y * z) / y)) * (y * i(z)). i(x) \ y = (x * (y * x)) / x. (x * (y * x)) / x = i(x) \ y. (x / y) / ((y * x) / y) = i(y). i(x \ y) \ x = ((x \ y) * y) / (x \ y). (i(y) * x) \ x = ((x \ y) * y) / (x \ y). ((x \ y) * y) / (x \ y) = (i(y) * x) \ x. x \ (y / i(x)) = (i(x) * y) / i(x). x \ (i(y) \ x) = (i(x) * y) / i(x). x \ (i(y) \ x) = i(i(x) * y) \ x. x \ (i(y) \ x) = (y \ i(i(x))) \ x. x \ (i(y) \ x) = (y \ x) \ x. (x * i(y)) \ (z / (y / x)) = ((y / x) * z) / (y / x). i(x) \ ((y * i(x)) / x) = ((x * y) / x) / x. i(x) \ ((x / y) \ i(x)) = ((x * y) / x) / x. x / (x * (x / y)) = ((x * y) / x) / x. ((x * y) / x) / x = x / (x * (x / y)). i(x * x) \ i(x) = ((x * x) * x) / (x * x). (x \ i(x)) \ i(x) = ((x * x) * x) / (x * x). i(i(x)) = ((x * x) * x) / (x * x). x = ((x * x) * x) / (x * x). ((x * x) * x) / (x * x) = x. x * (x * x) = (x * x) * x. (x * x) * x = x * (x * x). x * ((x * x) * y) = (x * x) * (((x * x) \ ((x * x) * x)) * y). x * ((x * x) * y) = (x * x) * (((x * x) \ (x * (x * x))) * y). x * ((x * x) * y) = (x * x) * (((x \ x) \ x) * y). x * ((x * x) * y) = (x * x) * ((1 \ x) * y). x * ((x * x) * y) = (x * x) * (x * y). (x * x) * (x * y) = x * ((x * x) * y). i(x * (x * x)) = x \ i(x * x). (x * x) \ i(x) = x \ i(x * x). (x * x) \ i(x) = x \ (x \ i(x)). ((x * ((x \ y) * (x \ y))) / x) * y = x * ((x \ y) * ((x \ y) * (x \ y))). (((y / x) * y) / x) * y = x * ((x \ y) * ((x \ y) * (x \ y))). x * ((x \ y) * ((x \ y) * (x \ y))) = (((y / x) * y) / x) * y. (x * (y * (y * y))) / (x * y) = (x * (y * y)) / x. (x / y) * (y / (y * x)) = i(y). x \ i(y) = y / (y * (x * y)). x / (x * (y * x)) = y \ i(x). i(x) / (x / (x * y)) = y / x. x \ i(x / (x * y)) = y / x. x \ ((x * y) * i(x)) = y / x. x \ (x / (x / y)) = y / x. x \ i(x \ y) = (x \ y) / ((x \ y) * y). x \ (i(y) * x) = (x \ y) / ((x \ y) * y). (x \ y) / ((x \ y) * y) = x \ (i(y) * x). (x / i(y)) \ y = i(y) / (i(y) * x). (i(x) \ y) \ y = i(y) / (i(y) * x). (i(x) \ y) \ y = i(i(y)) \ (x \ y). (i(x) \ y) \ y = y \ (x \ y). (x / (y * z)) \ (z \ i(y)) = (y * z) / ((y * z) * x). (i(x) / (y / x)) * ((y / x) * z) = (y / x) * ((x / (x * y)) * z). (x \ i(y / x)) * ((y / x) * z) = (y / x) * ((x / (x * y)) * z). (x \ (x * i(y))) * ((y / x) * z) = (y / x) * ((x / (x * y)) * z). i(y) * ((y / x) * z) = (y / x) * ((x / (x * y)) * z). (x / y) * ((y / (y * x)) * z) = i(x) * ((x / y) * z). i(x / (x * y)) = i(i(x)) * (y / x). (x * y) * i(x) = i(i(x)) * (y / x). x / (x / y) = i(i(x)) * (y / x). x / (x / y) = x * (y / x). x * (y / x) = x / (x / y). (x / (y \ z)) \ (i(z) * y) = (y \ z) / ((y \ z) * x). ((x * i(y)) / y) \ i(y) = y / ((y * x) / y). ((y / x) \ i(y)) \ i(y) = y / ((y * x) / y). (y * (y / x)) / y = y / ((y * x) / y). (x * x) / (x * y) = x / ((x * y) / x). (x \ y) / ((i(y) * x) \ y) = x \ (y \ x). (x * y) \ (z * y) = y \ ((x \ z) * y). (x * ((y * z) \ (z * y))) \ (x * (x * ((y * z) \ (z * y)))) = ((y * z) \ (z * y)) \ (x * ((y * z) \ (z * y))). (x \ ((y * z) \ (z * y))) \ ((y * z) \ (z * y)) = ((y * z) \ (z * y)) \ (x * ((y * z) \ (z * y))). (x \ ((y * z) \ (z * y))) \ ((y * z) \ (z * y)) = (z * y) \ (((y * z) * x) * ((y * z) \ (z * y))). (x * y) \ (1 * y) = y \ (i(x) * y). (x * y) \ y = y \ (i(x) * y). x \ (i(y) * x) = (y * x) \ x. (i(x) * y) \ (1 * y) = y \ (x * y). (i(x) * y) \ y = y \ (x * y). i(x \ (y * x)) = i((z * y) * x) * (z * x). i(y * x) * x = i((z * y) * x) * (z * x). (x \ i(y)) * x = i((z * y) * x) * (z * x). x \ (y \ x) = i((z * y) * x) * (z * x). x \ (y \ x) = (x \ i(z * y)) * (z * x). x \ (y \ x) = (x \ (y \ i(z))) * (z * x). (x \ (y \ i(z))) * (z * x) = x \ (y \ x). ((x * y) * z) \ (1 * z) = z \ ((y \ i(x)) * z). ((x * y) * z) \ z = z \ ((y \ i(x)) * z). x \ ((y \ i(z)) * x) = ((z * y) * x) \ x. (x \ y) / ((x \ y) * y) = (y * x) \ x. i(x) * (y \ x) = (y * x) \ x. ((x * y) \ y) \ (y \ x) = (y \ x) * x. i(x) * ((x / y) * (i(x) * y)) = (x * y) \ y. ((x \ y) * y) / (x \ y) = x \ (y * x). (x * y) \ ((x * y) / x) = y / (x * y). (x / (x / y)) / (y / x) = x. x \ (x / y) = (y \ x) / x. (x \ y) / y = y \ (y / x). i(x) \ (i(x) / (x \ i(y))) = y / i(x). i(x) \ (i(i(x)) \ (y * x)) = y / i(x). i(x) \ (x \ (y * x)) = y / i(x). i(x) \ (x \ (y * x)) = i(y) \ x. x \ (x / (x / i(y))) = y \ i(x). x \ (x / (i(x) \ y)) = y \ i(x). x \ ((x / y) / x) = y \ i(x). x / i(i(x) / (i(x) / y)) = y / i(x). x / i(i(x) / (x \ i(y))) = y / i(x). x / i(i(i(x)) \ (y * x)) = y / i(x). x / i(x \ (y * x)) = y / i(x). x / (i(y * x) * x) = y / i(x). x / ((x \ i(y)) * x) = y / i(x). x / (x \ (y \ x)) = y / i(x). x / (x \ (y \ x)) = i(y) \ x. (x \ y) * x = (x \ y) / ((x \ y) / y). (x \ y) * x = (x \ y) / (y \ (y / x)). (x \ y) / (y \ (y / x)) = (x \ y) * x. (x / y) * (y / (y / z)) = y * ((y \ x) * (z / y)). ((x / (x / y)) / x) * z = x * ((y / x) * (x \ z)). (i(x) / (i(x) / y)) * x = x \ ((y / i(x)) * x). (i(x) / (x \ i(y))) * x = x \ ((y / i(x)) * x). (i(i(x)) \ (y * x)) * x = x \ ((y / i(x)) * x). (x \ (y * x)) * x = x \ ((y / i(x)) * x). (x \ (y * x)) * x = x \ ((i(y) \ x) * x). x \ ((i(y) \ x) * x) = (x \ (y * x)) * x. (x / (x / y)) * i(x) = x / (x / (y / x)). x / (x * (x / y)) = x / (x / (y / x)). ((x / (x / y)) / x) \ x = x * i(y / x). ((x / (x / y)) / x) \ x = x * (x * i(y)). ((x * y) / x) / x = x / (x / (y / x)). ((x * y) / x) / (y / (x * y)) = x * y. ((x * (y * z)) / ((x * y) / x)) / ((x * z) / (x * (y * z))) = x * (y * z). (x \ (x / y)) * x = y \ x. (x \ (x / y)) \ (y \ x) = x. (x \ (x / y)) * (x * z) = x * ((x \ (y \ x)) * z). i(x \ (x / y)) = x * i(y \ x). i(x / y) * x = x * i(y \ x). (y * i(x)) * x = x * i(y \ x). (y * x) * i(x) = x * i(y \ x). (x * y) * i(y) = y * (i(y) * x). (x / y) / i(y) = i(y) \ (i(y) / i(x)). i(x / y) \ y = i(y) \ (i(y) / i(x)). (y * i(x)) \ y = i(y) \ (i(y) / i(x)). (y * i(x)) \ y = i(y) \ (i(i(y)) \ x). (x * i(y)) \ x = i(x) \ (x \ y). (x \ i(y)) / i(y) = i(y) \ (y \ i(x)). i(x \ i(y)) \ y = i(y) \ (y \ i(x)). (i(i(y)) * x) \ y = i(y) \ (y \ i(x)). (y * x) \ y = i(y) \ (y \ i(x)). (y * x) \ y = y / (x * y). x / (y * x) = (x * y) \ x. i(x) \ (x \ (x / y)) = (x * (y \ x)) / x. i(x) \ (x \ (x / y)) = (y / x) \ (x / x). i(x) \ (x \ (x / y)) = (y / x) \ 1. i(x) \ (x \ (x / y)) = i(y / x). i(x) \ (x \ (x / y)) = x * i(y). (x * i(y)) * y = y * (i(y) * x). (x * (y * i(z))) * (i(y) \ (y \ z)) = (x * ((y * z) / y)) * (y * i(z)). ((x * y) / x) / ((y * x) \ y) = x * y. (x * y) \ ((x * y) / x) = (y * x) \ y. (x * y) / (y \ (z * y)) = (x / z) * y. (1 * x) / (x \ (y * x)) = i(y) * x. x / (x \ (y * x)) = i(y) * x. ((x * i(y)) * y) / (y \ 1) = x * y. (y * (i(y) * x)) / (y \ 1) = x * y. (y * (i(y) * x)) / i(y) = x * y. i(y * (i(y) * x)) \ y = x * y. ((i(y) * x) \ i(y)) \ y = x * y. ((x \ y) / y) \ y = x * y. (x \ (x / y)) \ x = y * x. (i(x) * y) / (y \ (i(z) * y)) = (x \ z) * y. (i(x) * y) / ((z * y) \ y) = (x \ z) * y. (y \ x) \ i((z * y) \ y) = (x \ z) * y. (y \ x) \ (i(y) * (z * y)) = (x \ z) * y. (x \ y) \ ((z \ x) \ x) = (y \ z) * x. (((x * y) * z) * (z \ (y * z))) * i((x * y) * z) = ((x * y) * z) / (x * z). (((x * y) * y) * z) * i((x * y) * z) = ((x * y) * z) / (x * z). (((x * y) * y) * z) * (z \ i(x * y)) = ((x * y) * z) / (x * z). (((x * y) * y) * z) * (z \ (y \ i(x))) = ((x * y) * z) / (x * z). ((x * y) * (y \ z)) / (((y \ z) \ z) \ ((y \ z) * ((y \ z) \ z))) = x * ((y \ z) \ z). ((x * y) * (y \ z)) / (((y \ z) \ z) \ z) = x * ((y \ z) \ z). (x * y) * (y \ (z \ y)) = (x * (y \ (y / z))) * y. (x * (y \ (y / z))) * y = (x * y) * (y \ (z \ y)). (x \ y) * x = (y \ x) \ x. ((x \ y) / (y \ (y / x))) * z = (y \ (y / x)) * (y * ((y \ (y / x)) \ z)). ((x \ y) * x) * z = (y \ (y / x)) * (y * ((y \ (y / x)) \ z)). ((y \ x) \ x) * z = (y \ (y / x)) * (y * ((y \ (y / x)) \ z)). ((y \ x) \ x) * z = y * ((y \ (x \ y)) * ((y \ (y / x)) \ z)). x * ((x \ (y \ x)) * ((x \ (x / y)) \ z)) = ((x \ y) \ y) * z. x \ ((i(y) \ x) * x) = ((y * x) \ x) \ x. (x \ y) / (y \ (y / x)) = (y \ x) \ x. ((x * y) \ x) \ (y \ (x * y)) = x * y. (i(x) \ (i(x) / i(y))) \ (y / x) = i(x). (i(x) \ (i(i(x)) \ y)) \ (y / x) = i(x). (i(x) \ (x \ y)) \ (y / x) = i(x). (i(x) \ (i(x) / (y / x))) \ (x / (x * y)) = i(x). (i(x) \ (x \ i(y / x))) \ (x / (x * y)) = i(x). (i(x) \ (x \ (x * i(y)))) \ (x / (x * y)) = i(x). (i(x) \ i(y)) \ (x / (x * y)) = i(x). (x / y) \ (x / (x * y)) = i(x). ((x \ y) \ (y \ (y / x))) \ (y \ (x \ y)) = x \ y. (x \ y) / y = ((x \ y) * x) \ (x \ y). y \ (y / x) = ((x \ y) * x) \ (x \ y). y \ (y / x) = ((y \ x) \ x) \ (x \ y). ((x \ y) \ y) \ (y \ x) = x \ (x / y). (x / y) / (y * (x / y)) = x \ (x / y). (x / y) / (y / (y / x)) = x \ (x / y). ((x * y) \ (y * x)) / (x * (z * ((x * y) \ (y * x)))) = (((x * y) \ (y * x)) * (x * z)) \ ((x * y) \ (y * x)). ((x * y) \ x) * ((y * x) * z) = (y * x) * (((y * x) \ x) * z). x / i(y) = (x * (y \ i(x))) \ x. i(x) \ y = (x * (y \ i(x))) \ x. i(x) \ y = ((x / y) / x) \ x. ((x / y) / x) \ x = i(x) \ y. i(x) * ((x * y) \ x) = i(y * x). ((x * y) * x) \ x = i(y * x). ((x * y) * x) \ x = x \ i(y). i(x) / (x / (x / y)) = (i(x) * (x * y)) \ i(x). x \ i(x / (x / y)) = (i(x) * (x * y)) \ i(x). x \ ((x / y) * i(x)) = (i(x) * (x * y)) \ i(x). x \ (x / (x * y)) = (i(x) * (x * y)) \ i(x). x \ (x / (x * y)) = (x * (i(x) * y)) \ i(x). (x * (i(x) * y)) \ i(x) = x \ (x / (x * y)). i(x * y) \ ((y * x) \ y) = ((x * y) * y) / (x * y). (x \ i(y)) \ ((x * y) \ x) = ((y * x) * x) / (y * x). (x * y) * ((y * x) \ y) = (x * y) / ((x * y) / y). (x * y) * ((y * x) \ y) = (x * y) / x. i(x) \ (x / y) = x * (x * i(y)). x * (x * i(y)) = i(x) \ (x / y). (x \ (x / y)) * (y * x) = x. ((x * y) \ x) \ (x * y) = y * (x * y). x / (y * x) = x \ (x / y). (x * y) \ x = x \ (x / y). (x \ y) \ x = (y \ x) * x. (x \ y) * y = (y \ x) \ y. (x * y) \ i(y \ (y / x)) = i(y). (x * y) \ (i(y / x) * y) = i(y). (x * y) \ ((x * i(y)) * y) = i(y). (x * y) \ (y * (i(y) * x)) = i(y). (x \ (i(x) \ y)) \ x = i(y) * x. (x / y) \ y = (y / x) * y. (x / y) * x = (y / x) \ x. ((x / (x / y)) \ x) \ (x / (x / y)) = (y / x) * (x / (x / y)). (x / y) \ (x / (x / y)) = (y / x) * (x / (x / y)). (x / y) \ (x / (x / y)) = x * ((x \ y) * (y / x)). x * ((x \ y) * (y / x)) = (x / y) \ (x / (x / y)). (x \ ((x * y) \ x)) \ x = (y * x) * x. (x \ (x \ (x / y))) \ x = (y * x) * x. (x \ (x / y)) \ (x * y) = y * (x * y). (x * y) * (y \ (y / x)) = (x * y) / x. (x \ i(y)) \ (x \ (x / y)) = ((y * x) * x) / (y * x). (x \ (x / y)) * ((y * x) * z) = (y * x) * (((y * x) \ x) * z). ((x * y) \ (y * x)) / (x * (z * ((x * y) \ (y * x)))) = ((x * y) \ (y * x)) \ (((x * y) \ (y * x)) / (x * z)). (x \ (x / y)) \ (y \ (x * y)) = x * y. (x * y) \ ((x * y) / x) = y \ (y / x). ((x * y) / x) / (y \ (y / x)) = x * y. x / (y * x) = x \ (x / y). x \ (x / i(y)) = i(x) \ (x \ y). x \ (i(x) \ y) = i(x) \ (x \ y). i(x) \ (x \ y) = x \ (i(x) \ y). x \ ((x \ i(y)) \ x) = ((y * x) \ x) \ x. ((x \ y) \ x) / (y \ x) = y \ (x * y). ((x * y) \ y) \ (y \ x) = (x \ y) \ x. (x \ y) / ((y \ x) \ y) = (y * x) \ x. (x \ (y \ x)) \ x = x \ ((y * x) * x). x * ((x \ y) * ((x \ y) * (x \ y))) = (((x / y) \ y) / x) * y. x \ ((y / x) \ x) = i(y) * x. (x \ (i(x) \ y)) \ (y / x) = i(x). (x * (y * i(z))) * (y \ (i(y) \ z)) = (x * ((y * z) / y)) * (y * i(z)). x \ (i(x) \ (x / y)) = x * i(y). x \ (i(x) \ (y * x)) = i(y) \ x. ((x / y) * z) \ (x * (y \ (z * y))) = y. (x * (y \ (z * y))) / y = (x / y) * z. (x * (y \ (z * y))) * (y \ (u * y)) = (((x / y) * z) * u) * y. i(x * (y \ (z * y))) = y \ i((x / y) * z). (y \ (z * y)) \ i(x) = y \ i((x / y) * z). (y \ (z * y)) \ i(x) = y \ (z \ i(x / y)). (x \ (y * x)) \ i(z) = x \ (y \ (x * i(z))). (x * ((x \ y) * z)) * x = y * (x \ ((x * z) * x)). (x * (y * (x \ z))) * x = (x * y) * (x \ (z * x)). ((x / y) * (y * y)) * y = x * (y \ (y * (y * y))). (y * ((y \ x) * y)) * y = x * (y \ (y * (y * y))). (y * ((x \ y) \ y)) * y = x * (y \ (y * (y * y))). (x * ((y \ x) \ x)) * x = y * (x * x). ((x * y) \ x) * (x * y) = y \ (x * y). (x \ (x / y)) * (x * y) = y \ (x * y). x * ((x \ (y \ x)) * y) = y \ (x * y). x * (y / x) = (y \ (y / x)) \ (y / x). x / (x / y) = (y \ (y / x)) \ (y / x). (x \ (x / y)) \ (x / y) = y / (y / x). (x / (y \ z)) * ((z \ y) \ y) = (y \ z) * (((y \ z) \ x) * y). i(x) * (y \ x) = (i(y) \ (y \ x)) \ (y \ x). (y * x) \ x = (i(y) \ (y \ x)) \ (y \ x). (y * x) \ x = (y \ (i(y) \ x)) \ (y \ x). (x \ (i(x) \ y)) \ (x \ y) = (x * y) \ y. (((x \ y) \ y) / (y \ x)) * z = (y \ x) * (y * ((y \ x) \ z)). i(x) * (i(y) \ x) = (y \ (i(y) \ x)) \ (i(y) \ x). (i(y) * x) \ x = (y \ (i(y) \ x)) \ (i(y) \ x). x \ (y * x) = (y \ (i(y) \ x)) \ (i(y) \ x). (x \ (i(x) \ y)) \ (i(x) \ y) = y \ (x * y). (x \ y) * (x * i(x \ y)) = ((y \ x) \ x) / (x \ y). (x \ y) * (x * (i(y) * x)) = ((y \ x) \ x) / (x \ y). (x \ y) * ((y / x) \ x) = ((y \ x) \ x) / (x \ y). (x \ ((x * y) / x)) * x = (x * i(y)) \ x. (y * i(x)) * x = (x * i(y)) \ x. x * (i(x) * y) = (x * i(y)) \ x. x * (i(x) * y) = x \ (x / i(y)). x * (i(x) * y) = x \ (i(x) \ y). ((x * y) / x) * i(x) = ((y / x) \ i(x)) \ i(x). x * (y * (x \ i(x))) = ((y / x) \ i(x)) \ i(x). (x / (x / y)) / x = ((y / x) \ i(x)) \ i(x). (x / (x / y)) / x = (x / (x * y)) \ i(x). (x / (x * y)) \ i(x) = (x / (x / y)) / x. ((x / y) \ i(y)) * (x / y) = ((y * x) / y) \ (x / y). (x / (x * y)) * (y / x) = ((x * y) / x) \ (y / x). (x * y) \ (y \ (i(y) \ x)) = i(y). (x \ (i(x) \ y)) \ i(x) = x \ (x / (x * y)). i(i(x) \ y) = x \ (x / (x * y)). i(y) * i(x) = x \ (x / (x * y)). x \ (x / (x * y)) = i(y) * i(x). (x * i(y)) * y = y \ (i(y) \ x). (x * y) * i(y) = y \ (i(y) \ x). ((x / y) \ y) * (y \ x) = x \ (i(x) \ y). x \ (i(x) \ (x \ y)) = i(x) * y. x \ (x \ (i(x) \ y)) = i(x) * y. i(x) * (x * y) = x \ (i(x) \ y). ((x * y) \ x) * (y * (x * y)) = x * y. (x \ (x / y)) * (y * (x * y)) = x * y. x * ((y * x) \ (z * (y * x))) = ((x \ (x / y)) * z) * (y * x). ((x \ (x / y)) * z) * (y * x) = x * ((y * x) \ (z * (y * x))). (x * y) / (x * (z * y)) = (x * (y \ (y / z))) / x. (x * y) / (x * (z * y)) = (y / x) \ ((y / z) / x). (x / (x \ (x / y))) \ (x \ (x / y)) = (x \ (x / y)) * i(y * x). (x / (x \ (x / y))) \ (x \ (x / y)) = (x \ (x / y)) * (x \ i(y)). ((x / y) \ ((x / y) / y)) * (y / (y / x)) = x / y. ((x * (y * z)) / ((x * y) / x)) / ((z / x) \ ((z / y) / x)) = x * (y * z). (x * y) * (x \ (x / y)) = x. x \ y = y \ (y / (y \ x)). x \ (x / (x \ y)) = y \ x. x \ (x / y) = (x / y) \ ((x / y) / y). (x / y) \ ((x / y) / y) = x \ (x / y). (x * (y * ((x * z) \ (z * x)))) \ (x * y) = (x * y) \ ((x * y) / ((x * z) \ (z * x))). (x * (x * ((y * z) \ (z * y)))) \ (x * x) = (x * x) \ ((x * x) / ((y * z) \ (z * y))). x / (x \ (x / y)) = x * y. (x \ (x / y)) \ i(x * y) = i(x). (x \ (x / y)) \ (y \ i(x)) = i(x). (x / (x / y)) \ x = x \ (x / (y / x)). x / y = x \ (x / (y / x)). x \ (x / (y / x)) = x / y. (x \ (x / y)) / x = x \ (x / (x * y)). (x \ (x / y)) / x = i(y) * i(x). (x \ (x / (x * y))) \ (x \ (x / y)) = x. (i(x) * i(y)) \ (y \ (y / x)) = y. ((x \ y) \ y) \ (y \ x) = (y \ x) \ ((y \ x) / y). x \ (x / y) = (y \ x) \ ((y \ x) / y). (x \ y) \ ((x \ y) / x) = y \ (y / x). (x \ (x / y)) * (y / (y / x)) = x / y. (x * y) \ (x \ (x / y)) = (x \ (x / y)) * (x \ i(y)). (x \ (x / y)) * (x \ i(y)) = (x * y) \ (x \ (x / y)). (x \ y) \ ((y \ x) \ y) = y. i((x \ y) \ x) = x \ i(y \ x). i(x) * (x \ y) = x \ i(y \ x). i(x) * (x \ y) = x \ (i(x) * y). (i(x) \ (x \ y)) * (x \ y) = i(y) \ (x \ y). (x \ (i(x) \ y)) * (x \ y) = i(y) \ (x \ y). (x / y) * i(y) = (i(y) \ i(x)) \ i(y). (x / y) * i(y) = (y / x) \ i(y). (((x \ y) \ x) / (y \ x)) * z = (y \ x) * (x * ((y \ x) \ z)). (y \ (x * y)) * z = (y \ x) * (x * ((y \ x) \ z)). (x \ y) * (y * ((x \ y) \ z)) = (x \ (y * x)) * z. (i(x) * (y \ x)) * x = x \ ((x \ y) \ x). ((y * x) \ x) * x = x \ ((x \ y) \ x). (x \ (y * x)) \ x = x \ ((x \ y) \ x). (x \ y) * (y * i(x \ y)) = ((y \ x) \ y) / (x \ y). (x \ y) * (y * (i(y) * x)) = ((y \ x) \ y) / (x \ y). (x \ y) * (y \ (i(y) \ x)) = ((y \ x) \ y) / (x \ y). (x \ y) * (y \ (i(y) \ x)) = x \ (y * x). (((x \ y) \ x) / (y \ x)) \ (y \ x) = (y \ x) * i(x). (y \ (x * y)) \ (y \ x) = (y \ x) * i(x). (x \ (y * x)) \ (x \ y) = i(x). (x * i(y)) * x = (x \ ((x * y) / x)) \ x. (x * i(y)) * x = (y * i(x)) \ x. ((x * y) / x) * (y / x) = ((y / x) \ i(x)) \ (y / x). x * (y * (x \ (y / x))) = ((y / x) \ i(x)) \ (y / x). x * (y * (x \ (y / x))) = (x / (x * y)) \ (y / x). (x / (x / y)) \ (x / y) = (y / x) \ i(y). (x * (y / z)) \ ((x * z) * (z \ y)) = z. ((x * y) * (y \ z)) / y = x * (z / y). ((x * y) * ((y * x) / (x * y))) * (x * y) = (x * y) * ((x * y) * ((x * y) \ (y * x))). ((x * y) / ((x * y) / (y * x))) * (x * y) = (x * y) * ((x * y) * ((x * y) \ (y * x))). (((x * y) / (y * x)) / (x * y)) \ (x * y) = (x * y) * ((x * y) * ((x * y) \ (y * x))). i(x * y) \ (y * x) = (x * y) * ((x * y) * ((x * y) \ (y * x))). (y \ i(x)) \ (y * x) = (x * y) * ((x * y) * ((x * y) \ (y * x))). (x \ i(y)) \ (x * y) = (y * x) * (x * y). i((x * y) * (y \ z)) = y \ i(x * (z / y)). (y \ z) \ i(x * y) = y \ i(x * (z / y)). (y \ z) \ (y \ i(x)) = y \ i(x * (z / y)). (x \ y) \ (x \ i(z)) = x \ ((y / x) \ i(z)). (x / (x / y)) * x = (x * x) * (x \ y). ((x / y) / x) \ x = (x * x) * (x \ y). i(x) \ y = (x * x) * (x \ y). (x * x) * (x \ y) = i(x) \ y. ((x * y) * (y \ z)) \ (x * (z / y)) = (x * (z / y)) \ ((x * (z / y)) / y). i(x) \ y = y * ((x \ y) \ y). x * ((y \ x) \ x) = i(y) \ x. (i(y) \ x) * x = y * (x * x). (x \ i(y)) \ x = y * (x * x). x \ (y * (x * x)) = ((y * x) \ x) \ x. ((x * y) \ y) \ y = y \ (x * (y * y)). (x / y) \ ((y / x) \ x) = x. x * (x * y) = (y / (x * y)) \ (x * y). x * (x * y) = (y \ (y / x)) \ (x * y). (x \ (x / y)) \ (y * x) = y * (y * x). (x * y) * (y \ ((z / y) \ y)) = (x * (y / z)) * y. (x * y) * (i(z) * y) = (x * (y / z)) * y. ((x \ y) / y) * (x \ y) = x \ (x \ y). (x \ (x / y)) * (y \ x) = y \ (y \ x). i((x / y) \ y) = y \ i(y / x). i(y) * (x / y) = y \ i(y / x). i(x) * (y / x) = x \ (y * i(x)). (x / (x * y)) \ (x * y) = x * ((x \ (x * y)) * y). (x / (x * y)) \ (x * y) = x * (y * y). (((x / y) \ y) / (y / x)) * z = (y / x) * (y * ((y / x) \ z)). (x / i(y)) * x = (y \ i(x)) \ x. (i(x) \ y) * x = (y \ i(x)) \ x. ((x / y) \ y) * (y \ i(y / x)) = 1. ((x / y) \ y) * (y \ (x * i(y))) = 1. (x / y) * (x * i(x / y)) = ((y / x) \ x) / (x / y). (x / y) * (x * (y * i(x))) = ((y / x) \ x) / (x / y). (x / y) * ((x * y) / x) = ((y / x) \ x) / (x / y). ((x / y) \ y) * x = y * (x \ (y * x)). ((x / y) \ y) \ (y / x) = (y / x) \ ((y / x) / y). x / i(y) = x \ (x / (y \ i(x))). i(x) \ y = x \ (x / (y \ i(x))). i(x) \ y = x \ (i(x) \ (x * y)). x \ (i(x) \ (x * y)) = i(x) \ y. (x / y) / i(y) = (x / y) \ ((x / y) / i(x)). i(x / y) \ y = (x / y) \ ((x / y) / i(x)). (y * i(x)) \ y = (x / y) \ ((x / y) / i(x)). y \ (y / i(x)) = (x / y) \ ((x / y) / i(x)). y \ (i(y) \ x) = (x / y) \ ((x / y) / i(x)). y \ (i(y) \ x) = (x / y) \ (i(x / y) \ x). y \ (i(y) \ x) = (x / y) \ ((y * i(x)) \ x). (x / y) \ ((y * i(x)) \ x) = y \ (i(y) \ x). (x * i(y)) / ((y * x) / y) = (x * i(y)) \ ((x * i(y)) / y). (y / x) \ i((y * x) / y) = (x * i(y)) \ ((x * i(y)) / y). (y / x) \ (y * i(y * x)) = (x * i(y)) \ ((x * i(y)) / y). (y / x) \ (y * (x \ i(y))) = (x * i(y)) \ ((x * i(y)) / y). (y / x) \ ((y / x) / y) = (x * i(y)) \ ((x * i(y)) / y). (y / x) \ ((y / x) / y) = (x * i(y)) \ ((y / x) \ i(y)). (x * i(y)) \ ((y / x) \ i(y)) = (y / x) \ ((y / x) / y). x / ((y * x) * (x \ z)) = x \ (x / (y * (z / x))). ((x * y) * y) * ((x * y) \ x) = x * y. ((x * y) * y) * (x \ (x / y)) = x * y. (x * i(y)) * (x \ (i(x) \ y)) = x. x * i(x * y) = (x * y) / ((x * y) / (x \ (x / y))). x * (y \ i(x)) = (x * y) / ((x * y) / (x \ (x / y))). (x / y) / x = (x * y) / ((x * y) / (x \ (x / y))). (x * y) / ((x * y) / (x \ (x / y))) = (x / y) / x. (x / (x * y)) \ (x * y) = (x * y) * i(x \ (x / y)). x * (y * y) = (x * y) * i(x \ (x / y)). x * (y * y) = (x * y) * (i(x / y) * x). x * (y * y) = (x * y) * ((y * i(x)) * x). x * (y * y) = (x * y) * (x \ (i(x) \ y)). (x * y) * (x \ (i(x) \ y)) = x * (y * y). ((x \ y) \ y) * ((y \ x) \ ((y \ x) / y)) = y \ x. ((x \ y) \ y) * (x \ (x / y)) = y \ x. ((x / y) \ y) * ((y / x) \ ((y / x) / y)) = y / x. x * (y \ x) = x / (x \ y). (x / (x \ y)) / (y \ x) = x. (x \ y) \ i(y) = i(y / (y \ x)). (x \ y) \ i(y) = (y \ x) * i(y). (x \ y) * i(x) = (y \ x) \ i(x). (x \ y) / (y / (y \ x)) = (y / (y \ x)) \ ((y / (y \ x)) / y). (x / (x \ y)) \ ((x / (x \ y)) / x) = (y \ x) / (x / (x \ y)). (x \ (x / y)) \ ((x \ (x / y)) / x) = (y \ x) \ (x \ (x / y)). (x \ (x / y)) \ (i(y) * i(x)) = (y \ x) \ (x \ (x / y)). ((x / (x \ y)) \ x) * (x / (x \ y)) = (y \ x) \ (x / (x \ y)). (x \ y) * (x / (x \ y)) = (y \ x) \ (x / (x \ y)). (x \ y) / ((x \ y) / x) = (y \ x) \ (x / (x \ y)). (x * (y \ (z * y))) * ((y \ (z * y)) \ (1 * y)) = (x * (i(z) * y)) * (y \ (z * y)). (x * (y \ (z * y))) * ((y \ (z * y)) \ y) = (x * (i(z) * y)) * (y \ (z * y)). (x * (y \ (z * y))) * (y \ ((y \ z) \ y)) = (x * (i(z) * y)) * (y \ (z * y)). (x * y) / ((x * y) \ x) = (x * y) * y. (x * y) / (x \ (x / y)) = (x * y) * y. (x * y) * ((x \ (x / y)) * z) = (x \ (x / y)) * (((x \ (x / y)) \ x) * z). (x * y) * ((x \ (x / y)) * z) = (x \ (x / y)) * ((y * x) * z). (x * y) * ((x \ (x / y)) * z) = (y * x) * (((y * x) \ x) * z). (x * y) * (((x * y) \ y) * z) = (y * x) * ((y \ (y / x)) * z). x / (y / x) = x * (x / y). x * (x / y) = x / (y / x). (x / (x * y)) / ((x \ (x / y)) / x) = x. (x / (x * y)) / (i(y) * i(x)) = x. i(x / (x * y)) \ (x / i(y)) = x. ((x * y) * i(x)) \ (x / i(y)) = x. (x / (x / y)) \ (x / i(y)) = x. (x / (x / y)) \ (i(x) \ y) = x. (x / (x / y)) / ((x / (x / y)) \ x) = (x / (x / y)) * (y / x). (x / (x / y)) / (x / y) = (x / (x / y)) * (y / x). (x / (x / y)) * (y / x) = (x / (x / y)) / (x / y). (x * y) * x = ((x \ (x / y)) / x) \ x. (x * y) * x = (i(y) * i(x)) \ x. (i(x) * i(y)) \ y = (y * x) * y. ((x \ (x / y)) / x) * (x \ (x / y)) = (x * y) \ (x \ (x / y)). (i(x) * i(y)) * (y \ (y / x)) = (y * x) \ (y \ (y / x)). (x * y) / ((x * y) * y) = (x / y) / x. x / ((x / y) / x) = (x * (x * y)) / x. (x * (x * y)) / x = x / ((x / y) / x). (x / (y / x)) / (x / y) = x. x / i(i(x) / (y / i(x))) = i(x) / y. x / i(i(x) / (i(y) \ x)) = i(x) / y. x / i(x \ i(i(y) \ x)) = i(x) / y. x / i(x \ (i(x) * i(y))) = i(x) / y. x / (i(i(x) * i(y)) * x) = i(x) / y. x / ((i(y) \ i(i(x))) * x) = i(x) / y. x / ((i(y) \ x) * x) = i(x) / y. x / ((x \ i(y)) \ x) = i(x) / y. x / (y * (x * x)) = i(x) / y. x / (y * (x * x)) = x \ i(y). ((x / (y / x)) \ x) * (x / (y / x)) = (x / y) \ (x / (y / x)). (y / x) * (x / (y / x)) = (x / y) \ (x / (y / x)). (y / x) / ((y / x) / x) = (x / y) \ (x / (y / x)). (y * x) / y = (x / y) \ (x / (y / x)). (x / y) \ (x / (y / x)) = (y * x) / y. (x * i(y)) \ ((x \ ((x * y) / x)) \ x) = x. (x * i(y)) \ ((y * i(x)) \ x) = x. x / ((x \ y) \ x) = ((x \ y) \ x) \ (((x \ y) \ x) / (y \ x)). x \ y = ((x \ y) \ x) \ (((x \ y) \ x) / (y \ x)). x \ y = ((x \ y) \ x) \ (y \ (x * y)). ((x \ y) \ x) \ (y \ (x * y)) = x \ y. ((x \ y) / y) \ (x \ (x \ y)) = x \ y. (x \ (x / y)) \ (y \ (y \ x)) = y \ x. (x / i(y)) \ ((y \ i(x)) \ x) = x. (i(x) \ y) \ ((y \ i(x)) \ x) = x. x \ (y * x) = y * ((x * y) \ (y * x)). x * ((y * x) \ (x * y)) = y \ (x * y). (x * ((y * x) \ (x * y))) / (x * y) = (x * ((y * x) \ (x * y))) \ ((x * ((y * x) \ (x * y))) / y). (y \ (x * y)) / (x * y) = (x * ((y * x) \ (x * y))) \ ((x * ((y * x) \ (x * y))) / y). (x * y) \ ((x * y) / y) = (x * ((y * x) \ (x * y))) \ ((x * ((y * x) \ (x * y))) / y). (x * y) \ x = (x * ((y * x) \ (x * y))) \ ((x * ((y * x) \ (x * y))) / y). x \ (x / y) = (x * ((y * x) \ (x * y))) \ ((x * ((y * x) \ (x * y))) / y). x \ (x / y) = (y \ (x * y)) \ ((x * ((y * x) \ (x * y))) / y). x \ (x / y) = (y \ (x * y)) \ ((y \ (x * y)) / y). x \ (x / y) = (y \ (x * y)) \ (i(y) * x). (x \ (y * x)) \ (i(x) * y) = y \ (y / x). (x / y) * (y / (y \ z)) = y * ((y \ x) * (z \ y)). i(x) * i(y) = i(x) / (i(x) \ (x \ y)). i(x) * i(y) = i(x) / (x \ (i(x) \ y)). i(x) * i(y) = x \ i(x \ (i(x) \ y)). i(x) * i(y) = x \ (i(i(x) \ y) * x). i(x) * i(y) = x \ ((i(y) * i(x)) * x). i(x) * i(y) = x \ (x \ (i(x) \ i(y))). i(x) * i(y) = x \ (x \ (x / y)). x \ (x \ (x / y)) = i(x) * i(y). (i(x \ y) * y) * (x \ y) = (x \ y) \ (y / (y \ x)). ((i(y) * x) * y) * (x \ y) = (x \ y) \ (y / (y \ x)). (y \ (x * y)) * (x \ y) = (x \ y) \ (y / (y \ x)). y \ ((x * y) * (x \ y)) = (x \ y) \ (y / (y \ x)). (x \ y) \ (y / (y \ x)) = y \ ((x * y) * (x \ y)). x * ((y \ x) * i(x)) = (x / (x \ y)) / x. x * i(y) = (x / (x \ y)) / x. (x / (x \ y)) / x = x * i(y). ((x * y) / x) * (x \ ((x * y) / x)) = ((x * y) / x) / (x * i(y)). ((x * y) / x) * (y * i(x)) = ((x * y) / x) / (x * i(y)). x * (y * (x \ (y * i(x)))) = ((x * y) / x) / (x * i(y)). x * (y * (x \ (y * i(x)))) = i((x * y) / x) \ (y / x). x * (y * (x \ (y * i(x)))) = (x * i(x * y)) \ (y / x). x * (y * (x \ (y * i(x)))) = (x * (y \ i(x))) \ (y / x). x * (y * (x \ (y * i(x)))) = ((x / y) / x) \ (y / x). (x / (x \ y)) * ((y \ x) \ x) = (x * y) * (y \ x). (x \ y) * (((x \ y) \ x) * x) = (x * y) * (y \ x). (x \ y) * ((x \ (x \ y)) \ x) = (x * y) * (y \ x). (x / y) * ((y * x) / y) = (x / y) / ((x / y) \ i(y)). (x / y) * ((y * x) / y) = (x / y) / (y / (y * x)). x * (y * x) = x / (x \ (x \ (x / y))). x * (y * x) = x / (i(x) * i(y)). x * (y * x) = i(x) \ (y / i(x)). x * (y * x) = i(x) \ (i(y) \ x). i(x) \ (i(y) \ x) = x * (y * x). (x \ y) / (y / (y \ x)) = (x \ y) \ ((x \ y) / y). (x \ y) / (y / (y \ x)) = (x \ y) \ (y \ (y / x)). (x / (y / x)) * (x / y) = (x / (y / x)) / ((x / (y / x)) \ x). (x / (y / x)) * (x / y) = (x / (y / x)) / (y / x). (i(x) * i(y)) \ x = (y * x) * x. (x \ y) / ((x \ y) / x) = x \ ((y * x) * (y \ x)). (x / (x \ y)) \ (x * i(y)) = (y \ x) / (x / (x \ y)). (x / (x \ y)) \ (x * i(y)) = (y \ x) \ (x \ (x / y)). (i(x) / (x / y)) / (i(y) \ i(x)) = i(x). (x \ i(x / y)) / (i(y) \ i(x)) = i(x). (x \ (y * i(x))) / (i(y) \ i(x)) = i(x). (x \ (y * i(x))) / (y / x) = i(x). (x * y) * x = (x * y) / (y / (x * y)). (x * y) * x = (x * y) / (y \ (y / x)). (x * y) / (y \ (y / x)) = (x * y) * x. (x \ y) * ((x \ y) / y) = (x \ y) / x. (x \ y) * (y \ (y / x)) = (x \ y) / x. ((x / (y / x)) / x) * z = x * ((x / y) * (x \ z)). x * (x / i(y)) = x / (y \ i(x)). x * (i(x) \ y) = x / (y \ i(x)). x * (i(x) \ y) = i(x) \ (x * y). i((i(x) / y) \ x) = i(x) / (y / i(x)). i((x \ i(y)) \ x) = i(x) / (y / i(x)). i(y * (x * x)) = i(x) / (y / i(x)). (x * x) \ i(y) = i(x) / (y / i(x)). (x * x) \ i(y) = i(x) / (i(y) \ x). (x * x) \ i(y) = x \ i(i(y) \ x). (x * x) \ i(y) = x \ (i(x) * i(y)). x \ (i(x) * i(y)) = (x * x) \ i(y). (x / (y / x)) * ((x / y) \ i(x)) = 1. (i(x) / (y / i(x))) * x = x \ ((i(x) / y) * x). (i(x) / (i(y) \ x)) * x = x \ ((i(x) / y) * x). (x \ i(i(y) \ x)) * x = x \ ((i(x) / y) * x). (x \ (i(x) * i(y))) * x = x \ ((i(x) / y) * x). ((x * x) \ i(y)) * x = x \ ((i(x) / y) * x). ((x * x) \ i(y)) * x = x \ ((x \ i(y)) * x). ((x * x) \ i(y)) * x = x \ ((i(y) \ x) \ x). ((x * x) \ i(y)) * x = x \ (x \ (y \ x)). x * ((x / y) * i(x)) = (x / (y / x)) / x. x * (x / (x * y)) = (x / (y / x)) / x. x / ((x * y) / x) = (x / (y / x)) / x. (x / (y / x)) / x = x / ((x * y) / x). (x / (x / y)) * x = (x / (x / y)) / ((y / x) / (x / (x / y))). ((x / y) / x) \ x = (x / (x / y)) / ((y / x) / (x / (x / y))). i(x) \ y = (x / (x / y)) / ((y / x) / (x / (x / y))). i(x) \ y = (x / (x / y)) / (y \ (y / x)). (x / (x / y)) / (y \ (y / x)) = i(x) \ y. ((x / y) \ ((x / y) / x)) * (x / (y / x)) = x / y. (x / (y / x)) * y = (x * y) * (y \ x). (x / y) / (x / (y / x)) = (x / y) \ ((x / y) / x). x * (x * y) = x / ((x \ (x / y)) / x). x * (x * y) = x / (i(y) * i(x)). x * (x * y) = i(x) \ (x / i(y)). x * (x * y) = i(x) \ (i(x) \ y). i(x) \ (i(x) \ y) = x * (x * y). (x / ((x * y) / x)) * z = x * ((x / y) * (x \ z)). ((x \ y) / x) / ((x \ y) / y) = x \ y. ((x \ y) / x) / (y \ (y / x)) = x \ y. (x \ i(y / i(x))) / (i(x) / y) = i(x). (x \ i(i(y) \ x)) / (i(x) / y) = i(x). (x \ (i(x) * i(y))) / (i(x) / y) = i(x). ((x * x) \ i(y)) / (i(x) / y) = i(x). ((x * x) \ i(y)) / (x \ i(y)) = i(x). i((x * x) \ i(y)) \ (y * x) = i(x). (i(i(y)) * (x * x)) \ (y * x) = i(x). (x * (y * y)) \ (x * y) = i(y). ((x / (x / y)) / ((y / x) / (x / (x / y)))) / x = x / (x / y). ((x / (x / y)) / (y \ (y / x))) / x = x / (x / y). (i(x) \ y) / x = x / (x / y). ((x / y) \ (x / (y / x))) / (x / (y / x)) = (x / (y / x)) \ x. ((y * x) / y) / (x / (y / x)) = (x / (y / x)) \ x. ((x * y) / x) / (y / (x / y)) = x / y. i(x) * ((i(x) \ y) * (i(z) \ (i(x) * (z \ x)))) = y * (((z \ x) * i(x)) \ (i(x) * (z \ x))). i(x) * ((i(x) \ y) * (i(z) \ ((z * x) \ x))) = y * (((z \ x) * i(x)) \ (i(x) * (z \ x))). i(x) * ((i(x) \ y) * (i(z) \ ((z * x) \ x))) = y * (i(z) \ (i(x) * (z \ x))). i(x) * ((i(x) \ y) * (i(z) \ ((z * x) \ x))) = y * (i(z) \ ((z * x) \ x)). (x / y) * (y * ((z * y) \ (y * z))) = x * ((z * y) \ (y * z)). (x / y) * (z \ (y * z)) = x * ((z * y) \ (y * z)). (x * y) * (((x * y) \ z) * (((x \ (x / y)) * (x * y)) \ x)) = z * (((x \ (x / y)) * (x * y)) \ ((x * y) * (x \ (x / y)))). (x * y) * (((x * y) \ z) * ((x * ((x \ (y \ x)) * y)) \ x)) = z * (((x \ (x / y)) * (x * y)) \ ((x * y) * (x \ (x / y)))). (x * y) * (((x * y) \ z) * ((y \ (x * y)) \ x)) = z * (((x \ (x / y)) * (x * y)) \ ((x * y) * (x \ (x / y)))). (x * y) * (((x * y) \ z) * ((y \ (x * y)) \ x)) = z * ((x * ((x \ (y \ x)) * y)) \ ((x * y) * (x \ (x / y)))). (x * y) * (((x * y) \ z) * ((y \ (x * y)) \ x)) = z * ((y \ (x * y)) \ ((x * y) * (x \ (x / y)))). (x * y) * (((x * y) \ z) * ((y \ (x * y)) \ x)) = z * ((y \ (x * y)) \ x). i(x \ y) * y = (x \ (x \ y)) \ (x \ y). (i(y) * x) * y = (x \ (x \ y)) \ (x \ y). y \ (x * y) = (x \ (x \ y)) \ (x \ y). (x \ (x \ y)) \ (x \ y) = y \ (x * y). ((x \ y) \ y) / (x * y) = i(y). i(x) * y = ((y / x) \ x) \ x. ((x / y) \ y) \ y = i(y) * x. (i((x * y) \ (y * x)) * i((x * y) \ (y * x))) * ((x * y) \ (y * x)) = (i((x * y) \ (y * x)) \ ((x * y) \ (y * x))) \ ((x * y) \ (y * x)). ((i(y * x) * (x * y)) * i((x * y) \ (y * x))) * ((x * y) \ (y * x)) = (i((x * y) \ (y * x)) \ ((x * y) \ (y * x))) \ ((x * y) \ (y * x)). (((x \ i(y)) * (x * y)) * i((x * y) \ (y * x))) * ((x * y) \ (y * x)) = (i((x * y) \ (y * x)) \ ((x * y) \ (y * x))) \ ((x * y) \ (y * x)). (((x \ i(y)) * (x * y)) * (i(y * x) * (x * y))) * ((x * y) \ (y * x)) = (i((x * y) \ (y * x)) \ ((x * y) \ (y * x))) \ ((x * y) \ (y * x)). (((x \ i(y)) * (x * y)) * ((x \ i(y)) * (x * y))) * ((x * y) \ (y * x)) = (i((x * y) \ (y * x)) \ ((x * y) \ (y * x))) \ ((x * y) \ (y * x)). ((x \ i(y)) * (x * y)) * (((x \ i(y)) * (x * y)) * ((x * y) \ (y * x))) = (i((x * y) \ (y * x)) \ ((x * y) \ (y * x))) \ ((x * y) \ (y * x)). ((x \ i(y)) * (x * y)) * 1 = (i((x * y) \ (y * x)) \ ((x * y) \ (y * x))) \ ((x * y) \ (y * x)). (x \ i(y)) * (x * y) = (i((x * y) \ (y * x)) \ ((x * y) \ (y * x))) \ ((x * y) \ (y * x)). (x \ i(y)) * (x * y) = ((i(y * x) * (x * y)) \ ((x * y) \ (y * x))) \ ((x * y) \ (y * x)). (x \ i(y)) * (x * y) = (((x \ i(y)) * (x * y)) \ ((x * y) \ (y * x))) \ ((x * y) \ (y * x)). (x \ i(y)) * (x * y) = (y * x) \ (((x * y) * ((x \ i(y)) * (x * y))) * ((x * y) \ (y * x))). (x * y) \ (((y * x) * ((y \ i(x)) * (y * x))) * ((y * x) \ (x * y))) = (y \ i(x)) * (y * x). i(x) * (y * (z * (y \ x))) = (((y * z) / y) \ x) \ x. i(x * i(y)) * ((y * x) / y) = (y \ (x * i(y))) \ (x * i(y)). (i(y) \ i(x)) * ((y * x) / y) = (y \ (x * i(y))) \ (x * i(y)). (y / x) * ((y * x) / y) = (y \ (x * i(y))) \ (x * i(y)). ((x / y) \ y) / (y / x) = (y \ (x * i(y))) \ (x * i(y)). (x \ (y * i(x))) \ (y * i(x)) = ((y / x) \ x) / (x / y). i(x / y) * (i(y) * (x / y)) = ((y * x) / y) \ (x / y). (y * i(x)) * (i(y) * (x / y)) = ((y * x) / y) \ (x / y). (x * i(y)) * (x \ (y * i(x))) = ((x * y) / x) \ (y / x). ((x * y) / i(y)) \ i(i(y)) = i(y) / ((x \ y) \ y). (i(x * y) \ y) \ i(i(y)) = i(y) / ((x \ y) \ y). ((y \ i(x)) \ y) \ i(i(y)) = i(y) / ((x \ y) \ y). (x * (y * y)) \ i(i(y)) = i(y) / ((x \ y) \ y). (x * (y * y)) \ y = i(y) / ((x \ y) \ y). (x * (y * y)) \ y = y \ i((x \ y) \ y). (x * (y * y)) \ y = y \ (i(y) * (x \ y)). (x * (y * y)) \ y = y \ ((x * y) \ y). i(x) * (y * (x \ (z * x))) = (((y / x) * z) \ x) \ x. i(x * y) * y = ((y \ (y / x)) \ (x * y)) \ (x * y). (y \ i(x)) * y = ((y \ (y / x)) \ (x * y)) \ (x * y). (i(x) \ y) \ y = ((y \ (y / x)) \ (x * y)) \ (x * y). y \ (x \ y) = ((y \ (y / x)) \ (x * y)) \ (x * y). y \ (x \ y) = (x * (x * y)) \ (x * y). (x * (x * y)) \ (x * y) = y \ (x \ y). i(x) * ((y * x) * (x \ z)) = ((y * (z / x)) \ x) \ x. (x * y) / ((x \ y) \ y) = (x * y) \ ((x * y) / i(y)). (x * y) / ((x \ y) \ y) = (x * y) \ (i(x * y) \ y). (x * y) / ((x \ y) \ y) = (x * y) \ ((y \ i(x)) \ y). (x * y) / ((x \ y) \ y) = (x * y) \ (x * (y * y)). (i(i(x)) * (y \ x)) \ (i(x) \ i(y)) = i(x). (x * (y \ x)) \ (i(x) \ i(y)) = i(x). (x / (x \ y)) \ (i(x) \ i(y)) = i(x). (x / (x \ y)) \ (x / y) = i(x). ((i(x) * y) / i(x)) \ (x \ ((y * i(i(x))) * x)) = x. (i(i(x) * y) \ x) \ (x \ ((y * i(i(x))) * x)) = x. ((y \ i(i(x))) \ x) \ (x \ ((y * i(i(x))) * x)) = x. ((y \ x) \ x) \ (x \ ((y * i(i(x))) * x)) = x. ((x \ y) \ y) \ (y \ ((x * y) * y)) = y. ((x \ (y * x)) \ (i(x) * y)) * (x \ (y * x)) = x \ (x \ (y * x)). (x \ (x / y)) * (y \ (x * y)) = y \ (y \ (x * y)). (i(x) * (x \ y)) \ (x \ ((y \ x) \ x)) = x. (x \ (i(x) * y)) \ (x \ ((y \ x) \ x)) = x. (i(x) * (y \ x)) \ (x \ ((x \ y) \ x)) = x. ((x * y) \ y) \ (y \ ((y \ x) \ y)) = y. ((x \ y) \ y) / (x \ y) = i(x \ y) * x. ((x \ y) \ y) / (x \ y) = (i(y) * x) * x. (x \ y) / x = i(x) * (y / x). (x \ y) / x = x \ (y * i(x)). x \ (y * i(x)) = (x \ y) / x. (i(x) \ i(y)) / i(x) = i(i(x)) * (y \ x). (x / y) / i(x) = i(i(x)) * (y \ x). i(x / y) \ x = i(i(x)) * (y \ x). (y * i(x)) \ x = i(i(x)) * (y \ x). (y * i(x)) \ x = x * (y \ x). (x * i(y)) \ y = y / (y \ x). ((x / y) \ i(y)) / (x / y) = i(x / y) * i(x). (y / (y * x)) / (x / y) = i(x / y) * i(x). (x / (x * y)) / (y / x) = (x * i(y)) * i(y). ((x \ y) \ 1) / (x \ y) = i(x \ y) * (i(y) * x). i(x \ y) / (x \ y) = i(x \ y) * (i(y) * x). (i(y) * x) / (x \ y) = i(x \ y) * (i(y) * x). (x \ y) \ i(x \ y) = i(x \ y) * (i(y) * x). (x \ y) \ (i(y) * x) = i(x \ y) * (i(y) * x). (x \ y) \ (i(y) * x) = (i(y) * x) * (i(y) * x). (x \ y) \ (i(y) * x) = (i(y) * (x / y)) * x. (x \ y) \ (i(y) * x) = (y \ (x * i(y))) * x. (x \ y) \ (i(y) * x) = ((y \ x) / y) * x. (x \ (x \ (y * x))) / x = i(x) * (i(x) * y). (x \ (y * x)) * (x / (x \ (y * x))) = (x \ (y * x)) / (i(x) * y). (x \ (y * x)) * (i(y) * x) = (x \ (y * x)) / (i(x) * y). (x \ (y * x)) * (i(y) * x) = i(x \ (y * x)) \ (y \ x). (x \ (y * x)) * (i(y) * x) = (i(y * x) * x) \ (y \ x). (x \ (y * x)) * (i(y) * x) = ((x \ i(y)) * x) \ (y \ x). (x \ (y * x)) * (i(y) * x) = ((i(y) \ x) \ x) \ (y \ x). (x \ (y * x)) * (i(y) * x) = (x \ (y \ x)) \ (y \ x). (i(x) * y) * (x \ (y * x)) = (x / (x \ (y * x))) \ (x \ (y * x)). (i(x) * y) * (x \ (y * x)) = (i(y) * x) \ (x \ (y * x)). (x / (x \ (y * x))) * x = (i(x) * y) \ x. (i(x) * y) * y = (i(y) * x) \ y. ((x \ (x / y)) \ x) / (x \ (x / y)) = i(x \ (x / y)) * (x * y). (y * x) / (x \ (x / y)) = i(x \ (x / y)) * (x * y). (y * x) * y = i(x \ (x / y)) * (x * y). (y * x) * y = (i(x / y) * x) * (x * y). (y * x) * y = ((y * i(x)) * x) * (x * y). (y * x) * y = (x \ (i(x) \ y)) * (x * y). (x \ (i(x) \ y)) * (x * y) = (y * x) * y. x * (x / (x \ (y * x))) = x / (i(x) * y). x * (i(y) * x) = x / (i(x) * y). (y / x) \ x = x / (i(x) * y). (y / x) \ x = i(x) \ (y \ x). i(x) \ (y \ x) = (y / x) \ x. (x * i(y)) * ((x \ y) / x) = ((x * y) / x) \ (y / x). ((x \ y) / x) \ (y * i(x)) = ((y / x) \ x) / (x / y). ((x \ y) / x) / (y / x) = i(x). x * (y * ((x \ y) / x)) = ((x / y) / x) \ (y / x). ((x / y) \ y) * ((y \ x) / y) = 1. i(x) * (y / x) = (x \ y) / x. (x * i(y)) \ (x / (x \ y)) = x. y / (y \ i(x)) = (y * x) * y. i(x) \ (y * x) = (x * y) * x. (x / y) \ (x / (x \ y)) = y \ (i(y) \ x). (x * i(y)) * x = x / (x \ y). ((x \ y) \ y) / (x \ y) = (i(x) * y) \ x. (i(y) / x) \ x = x * (y * x). (x \ i(y)) \ y = y * (x * y). (x \ (i(x) \ y)) * (x \ y) = (x / y) \ y. x \ ((x * y) * x) = i(y) \ x. (i(x) \ y) \ (x * (y * x)) = x. (i(x) \ y) * x = x * (y * x). (x * ((x \ y) * z)) * x = y * (i(z) \ x). (x * i(y)) * (y / (y \ x)) = y. (x * i(y)) \ i(y / (y \ x)) = (y / (y \ x)) / ((y / (y \ x)) * y). (x * i(y)) \ ((y \ x) * i(y)) = (y / (y \ x)) / ((y / (y \ x)) * y). (x * i(y)) \ ((x \ y) \ i(y)) = (y / (y \ x)) / ((y / (y \ x)) * y). (x * i(y)) \ ((x \ y) \ i(y)) = (y / (y \ x)) / (((y \ x) / y) \ y). (x / (x \ y)) / (((x \ y) / x) \ x) = (y * i(x)) \ ((y \ x) \ i(x)). (x / y) / ((x / y) / (y / (y * x))) = i(y) * i(x / y). (x / y) / ((x / y) / (y / (y * x))) = i(y) * (y * i(x)). (x / y) / ((x / y) / (y / (y * x))) = y \ (i(y) \ i(x)). (x / y) / ((x / y) / (y / (y * x))) = y \ (y / x). (x / (x \ y)) * (y * i(x)) = (x / (x \ y)) / ((x / (x \ y)) / x). (x / (x \ y)) * (y * i(x)) = (x / (x \ y)) / (x * i(y)). (x / (x \ y)) * (y * i(x)) = i(x / (x \ y)) \ (y / x). (x / (x \ y)) * (y * i(x)) = ((x \ y) * i(x)) \ (y / x). (x / (x \ y)) * (y * i(x)) = ((y \ x) \ i(x)) \ (y / x). (x * (y * x)) \ (x / (x \ (x / y))) = i(x). (x * (y * x)) \ (x * y) = i(x). (x * x) * ((y / (y * z)) \ (i(y) * (y / z))) = x * (x * (((y / z) * i(y)) \ (i(y) * (y / z)))). (x * x) * ((y / (y * z)) \ i(z)) = x * (x * (((y / z) * i(y)) \ (i(y) * (y / z)))). (x * x) * ((y / (y * z)) \ i(z)) = x * (x * ((y / (y * z)) \ (i(y) * (y / z)))). (x * x) * ((y / (y * z)) \ i(z)) = x * (x * ((y / (y * z)) \ i(z))). ((x / (x * y)) / (x / y)) * z = (x / y) * (i(x) * ((x / y) \ z)). (x / y) * (i(x) * ((x / y) \ z)) = ((x / (x * y)) / (x / y)) * z. ((i(x) * y) / x) * i(i(x) * y) = (i(x) * y) / (x \ (y * x)). ((y \ x) \ i(x)) * i(i(x) * y) = (i(x) * y) / (x \ (y * x)). ((y \ x) \ i(x)) * (y \ i(i(x))) = (i(x) * y) / (x \ (y * x)). ((y \ x) \ i(x)) * (y \ x) = (i(x) * y) / (x \ (y * x)). (i(x) \ (y \ x)) \ (y \ x) = (i(x) * y) / (x \ (y * x)). ((y / x) \ x) \ (y \ x) = (i(x) * y) / (x \ (y * x)). ((y / x) \ x) \ (y \ x) = (y \ x) \ i(x \ (y * x)). ((y / x) \ x) \ (y \ x) = (y \ x) \ (i(y * x) * x). ((y / x) \ x) \ (y \ x) = (y \ x) \ ((x \ i(y)) * x). ((y / x) \ x) \ (y \ x) = (y \ x) \ ((i(y) \ x) \ x). ((x / y) \ y) \ (x \ y) = (x \ y) \ (y \ (x \ y)). ((x * y) / i(x)) * i(x * y) = (x * y) / (x / (x / y)). (i(x * y) \ x) * i(x * y) = (x * y) / (x / (x / y)). ((y \ i(x)) \ x) * i(x * y) = (x * y) / (x / (x / y)). (x * (y * x)) * i(x * y) = (x * y) / (x / (x / y)). (x * (y * x)) * (y \ i(x)) = (x * y) / (x / (x / y)). (x / y) * (i(x) * i(x / y)) = (x / (x * y)) / (x / y). (x / y) * (i(x) * (y * i(x))) = (x / (x * y)) / (x / y). (x / y) * ((y \ x) \ i(x)) = (x / (x * y)) / (x / y). (i(x) / (x / y)) \ i(x / y) = (x / y) / (x / (x * y)). (x \ i(x / y)) \ i(x / y) = (x / y) / (x / (x * y)). (x \ (y * i(x))) \ i(x / y) = (x / y) / (x / (x * y)). ((x \ y) / x) \ i(x / y) = (x / y) / (x / (x * y)). ((x \ y) / x) \ (y * i(x)) = (x / y) / (x / (x * y)). ((x / y) \ y) / (y / x) = (y / x) / (y / (y * x)). (x / y) / ((x / y) \ ((x / y) / i(x))) = x / (x * y). (x / y) / ((x / y) \ (i(x / y) \ x)) = x / (x * y). (x / y) / ((x / y) \ ((y * i(x)) \ x)) = x / (x * y). (x / y) / ((x / y) \ (x / (x \ y))) = x / (x * y). (x / y) / (y \ (i(y) \ x)) = x / (x * y). ((x / y) / i(x)) * i(x / y) = (x / y) / (x / (x * y)). (i(x / y) \ x) * i(x / y) = (x / y) / (x / (x * y)). ((y * i(x)) \ x) * i(x / y) = (x / y) / (x / (x * y)). (x / (x \ y)) * i(x / y) = (x / y) / (x / (x * y)). (x / (x \ y)) * (y * i(x)) = (x / y) / (x / (x * y)). ((x \ y) \ i(y)) \ (x / y) = (y / x) / (y / (y * x)). ((x / y) / (x / (x * y))) * z = (x / y) * (x * ((x / y) \ z)). x \ (y / x) = (x \ y) * i(x). x \ (y / x) = (y \ x) \ i(x). (x \ y) \ i(y) = y \ (x / y). (x / y) \ (x / (x / y)) = y * i(x / y). (x / y) \ (x / (x / y)) = y * (y * i(x)). (x / y) \ (x / (x / y)) = i(y) \ (y / x). (x \ y) \ (i(x) / (x \ y)) = i(y) * i(x \ y). (x \ y) \ (x \ i(x \ y)) = i(y) * i(x \ y). (x \ y) \ (x \ (i(y) * x)) = i(y) * i(x \ y). (x \ y) \ ((y * x) \ x) = i(y) * i(x \ y). (x \ y) \ ((y * x) \ x) = i(y) * (i(y) * x). x \ (((x * y) / x) / x) = (y * i(x)) * i(x). x \ (x / (x / (y / x))) = (y * i(x)) * i(x). (y / x) / x = (y * i(x)) * i(x). (x * i(y)) * i(y) = (x / y) / y. (x \ y) \ (((y \ x) \ y) / (x \ y)) = y * i(x \ y). (x \ y) \ (x \ (y * x)) = y * i(x \ y). (x \ y) \ (x \ (y * x)) = y * (i(y) * x). (x \ y) \ (x \ (y * x)) = y \ (i(y) \ x). (y \ (x / y)) \ (x / y) = (y / x) / (y / (y * x)). (x / y) / (x / (x * y)) = (x \ (y / x)) \ (y / x). (x / y) * (x \ (y / x)) = (x / (x * y)) / (x / y). (x / (x \ y)) / (((x \ y) / x) \ x) = (y * i(x)) \ (x \ (y / x)). (x \ y) * i(x) = x \ (y / x). i(x) * (y * i(x)) = x \ (y / x). x * ((x \ y) * (y / x)) = i(y) \ (y / x). (x / (x * y)) / (y / x) = (x / y) / y. ((x \ (y / x)) \ (y / x)) * z = (x / y) * (x * ((x / y) \ z)). (x * y) * (z \ (y \ i(x))) = ((x * y) / z) / (x * y). (x / y) * (z \ (y * i(x))) = ((x / y) / z) / (x / y). (i(x \ i(y)) * y) * (x \ i(y)) = (x \ i(y)) \ ((y / x) / y). ((i(i(y)) * x) * y) * (x \ i(y)) = (x \ i(y)) \ ((y / x) / y). ((y * x) * y) * (x \ i(y)) = (x \ i(y)) \ ((y / x) / y). (y * x) / ((y * x) / y) = (x \ i(y)) \ ((y / x) / y). (x \ i(y)) \ ((y / x) / y) = (y * x) / ((y * x) / y). ((x / y) / x) * i(x) = x / (x / (y \ i(x))). (x / (x / y)) \ i(x) = x / (x / (y \ i(x))). (x / (x / y)) \ i(x) = x / (i(x) \ (x * y)). (x / (x / y)) \ i(x) = (x / (x * y)) / x. ((x / y) / x) * (x \ (x / (y \ i(x)))) = x. ((x / y) / x) * (x \ (i(x) \ (x * y))) = x. ((x / y) / x) * (i(x) \ y) = x. (x \ (y * x)) * (x \ i(x \ (y * x))) = (i(x) * y) / (x \ (y * x)). (x \ (y * x)) * (x \ (i(y * x) * x)) = (i(x) * y) / (x \ (y * x)). (x \ (y * x)) * (x \ ((x \ i(y)) * x)) = (i(x) * y) / (x \ (y * x)). (x \ (y * x)) * (x \ ((i(y) \ x) \ x)) = (i(x) * y) / (x \ (y * x)). (x \ (y * x)) * (x \ (x \ (y \ x))) = (i(x) * y) / (x \ (y * x)). (x \ (y * x)) * (x \ (x \ (y \ x))) = (y \ x) \ i(x \ (y * x)). (x \ (y * x)) * (x \ (x \ (y \ x))) = (y \ x) \ (i(y * x) * x). (x \ (y * x)) * (x \ (x \ (y \ x))) = (y \ x) \ ((x \ i(y)) * x). (x \ (y * x)) * (x \ (x \ (y \ x))) = (y \ x) \ ((i(y) \ x) \ x). (x \ (y * x)) * (x \ (x \ (y \ x))) = (y \ x) \ (x \ (y \ x)). (x \ y) * (i(y) * (x \ y)) = x \ (x \ y). (x \ y) * ((x * y) \ y) = x \ (x \ y). x * ((y \ i(z)) * x) = ((z * y) / x) \ x. x * ((y * i(z)) * x) = ((z / y) / x) \ x. (x * i(i(y))) * ((i(y) * x) / i(y)) = (y / (x * i(i(y)))) \ (x * i(i(y))). (x * y) * ((i(y) * x) / i(y)) = (y / (x * i(i(y)))) \ (x * i(i(y))). (x * y) * (i(i(y) * x) \ y) = (y / (x * i(i(y)))) \ (x * i(i(y))). (x * y) * ((x \ i(i(y))) \ y) = (y / (x * i(i(y)))) \ (x * i(i(y))). (x * y) * ((x \ y) \ y) = (y / (x * i(i(y)))) \ (x * i(i(y))). (x * y) * ((x \ y) \ y) = (y / (x * y)) \ (x * i(i(y))). (x * y) * ((x \ y) \ y) = (y \ (y / x)) \ (x * i(i(y))). (x * y) * ((x \ y) \ y) = (y \ (y / x)) \ (x * y). (x * y) * ((x \ y) \ y) = x * (x * y). (x / i(y)) * (i(y) / (i(y) / x)) = (y / (x / i(y))) \ (x / i(y)). (i(x) \ y) * (i(y) / (i(y) / x)) = (y / (x / i(y))) \ (x / i(y)). (i(x) \ y) * (i(y) / (y \ i(x))) = (y / (x / i(y))) \ (x / i(y)). (i(x) \ y) * (i(i(y)) \ (x * y)) = (y / (x / i(y))) \ (x / i(y)). (i(x) \ y) * (y \ (x * y)) = (y / (x / i(y))) \ (x / i(y)). (i(x) \ y) * (y \ (x * y)) = (y / (i(x) \ y)) \ (x / i(y)). (i(x) \ y) * (y \ (x * y)) = i(x) \ (x / i(y)). (i(x) \ y) * (y \ (x * y)) = i(x) \ (i(x) \ y). (i(x) \ y) * (y \ (x * y)) = x * (x * y). ((i(x) * y) \ ((i(x) * y) / y)) \ (i(x) * y) = (x / y) \ y. ((i(x) * y) \ i(x)) \ (i(x) * y) = (x / y) \ y. (i(x) \ (i(x) / y)) \ (i(x) * y) = (x / y) \ y. (i(x) \ (x \ i(y))) \ (i(x) * y) = (x / y) \ y. (x \ (i(x) \ i(y))) \ (i(x) * y) = (x / y) \ y. (x \ (x / y)) \ (i(x) * y) = (x / y) \ y. i(i(x) * y) * ((x / y) \ y) = (y \ (i(x) * y)) \ (i(x) * y). (y \ i(i(x))) * ((x / y) \ y) = (y \ (i(x) * y)) \ (i(x) * y). (y \ x) * ((x / y) \ y) = (y \ (i(x) * y)) \ (i(x) * y). ((x \ y) \ y) / (y \ x) = (y \ (i(x) * y)) \ (i(x) * y). ((x \ y) \ y) / (y \ x) = ((x * y) \ y) \ (i(x) * y). ((x * y) \ y) \ (i(x) * y) = ((x \ y) \ y) / (y \ x). (x / (x \ y)) * (i(x) * (x / (x \ y))) = (y * i(x)) \ (x / (x \ y)). (x / (x \ y)) * i(x \ y) = (y * i(x)) \ (x / (x \ y)). (x / (x \ y)) * (i(y) * x) = (y * i(x)) \ (x / (x \ y)). (x * y) \ ((((x * y) / (y * x)) \ (y * x)) * ((y * x) \ (x * y))) = (y \ i(x)) * (y * x). (x * y) \ ((x * y) \ (i(x * y) \ (y * x))) = (y \ i(x)) * (y * x). (x * y) \ ((x * y) \ ((y \ i(x)) \ (y * x))) = (y \ i(x)) * (y * x). (x * y) \ ((x * y) \ ((x * y) * (y * x))) = (y \ i(x)) * (y * x). (x * y) \ (y * x) = (y \ i(x)) * (y * x). (x \ i(y)) * (x * y) = (y * x) \ (x * y). (i(x) \ y) * ((x / y) / x) = (i(x) \ y) / ((i(x) \ y) / x). (i(x) \ y) * ((x / y) / x) = (i(x) \ y) / (x / (x / y)). (x \ y) / (i(x \ y) \ y) = (y \ (y / x)) / (x \ y). (x \ y) / ((i(y) * x) \ y) = (y \ (y / x)) / (x \ y). x \ (y \ x) = (y \ (y / x)) / (x \ y). (x \ (x / y)) / (y \ x) = y \ (x \ y). (x \ (y * x)) / (i(x \ (y * x)) \ x) = (i(x) * y) / (x \ (y * x)). (x \ (y * x)) / ((i(y * x) * x) \ x) = (i(x) * y) / (x \ (y * x)). (x \ (y * x)) / (((x \ i(y)) * x) \ x) = (i(x) * y) / (x \ (y * x)). (x \ (y * x)) / (((i(y) \ x) \ x) \ x) = (i(x) * y) / (x \ (y * x)). (x \ (y * x)) / ((x \ (y \ x)) \ x) = (i(x) * y) / (x \ (y * x)). (x \ (y * x)) / (x \ ((y * x) * x)) = (i(x) * y) / (x \ (y * x)). (x \ (y * x)) / (x \ ((y * x) * x)) = (y \ x) \ i(x \ (y * x)). (x \ (y * x)) / (x \ ((y * x) * x)) = (y \ x) \ (i(y * x) * x). (x \ (y * x)) / (x \ ((y * x) * x)) = (y \ x) \ ((x \ i(y)) * x). (x \ (y * x)) / (x \ ((y * x) * x)) = (y \ x) \ ((i(y) \ x) \ x). (x \ (y * x)) / (x \ ((y * x) * x)) = (y \ x) \ (x \ (y \ x)). (i(x) \ y) * (x * z) = x * ((x \ (x * (y * x))) * z). (i(x) \ y) * (x * z) = x * ((y * x) * z). (i(x) \ y) * z = x * ((y * x) * (x \ z)). x * ((y * x) * (x \ z)) = (i(x) \ y) * z. (x * ((i(x) / (i(x) / y)) * x)) / x = y / i(x). (x * ((i(x) / (x \ i(y))) * x)) / x = y / i(x). (x * ((i(i(x)) \ (y * x)) * x)) / x = y / i(x). (x * ((x \ (y * x)) * x)) / x = y / i(x). (x * (((y * x) \ x) \ x)) / x = y / i(x). (x * (x \ (y * (x * x)))) / x = y / i(x). (y * (x * x)) / x = y / i(x). (x * (y * y)) / y = i(x) \ y. (x * (y * x)) * (x / (x * (y * x))) = (x * (y * x)) / (i(x) \ y). (x * (y * x)) * (y \ i(x)) = (x * (y * x)) / (i(x) \ y). (x * y) / (x / (x / y)) = (x * (y * x)) / (i(x) \ y). (x * (y * x)) / (i(x) \ y) = (x * y) / (x / (x / y)). (x * (y * (x \ (z * x)))) / x = i(x) \ ((y / x) * z). (x * ((i(x) / (y / i(x))) * x)) / x = i(x) / y. (x * ((i(x) / (i(y) \ x)) * x)) / x = i(x) / y. (x * ((x \ i(i(y) \ x)) * x)) / x = i(x) / y. (x * ((x \ (i(x) * i(y))) * x)) / x = i(x) / y. (x * (((x * x) \ i(y)) * x)) / x = i(x) / y. (x * (x \ (x \ (y \ x)))) / x = i(x) / y. (x \ (y \ x)) / x = i(x) / y. (x \ (y \ x)) / x = x \ i(y). (x / i(y)) / ((i(y) * x) / i(y)) = y. (i(x) \ y) / ((i(y) * x) / i(y)) = y. (i(x) \ y) / (i(i(y) * x) \ y) = y. (i(x) \ y) / ((x \ i(i(y))) \ y) = y. (i(x) \ y) / ((x \ y) \ y) = y. i(x) * (((x * y) / x) * z) = ((x * y) / x) * ((((x * y) / x) \ (y / x)) * z). i(x) * (x * (y * (x \ z))) = ((x * y) / x) * ((((x * y) / x) \ (y / x)) * z). x \ (i(x) \ (y * (x \ z))) = ((x * y) / x) * ((((x * y) / x) \ (y / x)) * z). x \ (i(x) \ (y * (x \ z))) = x * (y * (x \ ((((x * y) / x) \ (y / x)) * z))). x * (y * (x \ ((((x * y) / x) \ (y / x)) * z))) = x \ (i(x) \ (y * (x \ z))). (x * y) / (((x \ (x / y)) * x) / (x \ (x / y))) = i(x \ (x / y)). (x * y) / ((((x / y) \ x) \ x) / (x \ (x / y))) = i(x \ (x / y)). (x * y) / ((y \ x) / (x \ (x / y))) = i(x \ (x / y)). (x * y) / ((x \ y) \ y) = i(x \ (x / y)). (x * y) \ (x * (y * y)) = i(x \ (x / y)). (x * y) \ (x * (y * y)) = i(x / y) * x. (x * y) \ (x * (y * y)) = (y * i(x)) * x. (x * y) \ (x * (y * y)) = x \ (i(x) \ y). ((x / y) * ((y * x) / y)) \ ((x / y) / i(y)) = i(x / y). ((x / y) / (y / (y * x))) \ ((x / y) / i(y)) = i(x / y). ((x / y) / (y / (y * x))) \ (i(x / y) \ y) = i(x / y). ((x / y) / (y / (y * x))) \ ((y * i(x)) \ y) = i(x / y). ((x / y) / (y / (y * x))) \ (y \ (y / i(x))) = i(x / y). ((x / y) / (y / (y * x))) \ (y \ (i(y) \ x)) = i(x / y). ((x / y) / (y / (y * x))) \ (y \ (i(y) \ x)) = y * i(x). x \ ((y \ i(z)) \ x) = ((z * y) \ x) \ x. ((i(x) \ y) / y) * (y * z) = y * (((x \ y) \ y) * z). (y \ (y / i(x))) * (y * z) = y * (((x \ y) \ y) * z). (x \ (i(x) \ y)) * (x * z) = x * (((y \ x) \ x) * z). x \ ((i(y) * z) \ x) = ((z \ y) \ x) \ x. (x / y) \ ((y * x) / y) = (y \ (x / y)) \ (x / y). (x \ (y / x)) \ (y / x) = (y / x) \ ((x * y) / x). (x / y) \ (i(i(y)) \ (x / y)) = ((y * x) / y) \ (x / y). (x / y) \ (y \ (x / y)) = ((y * x) / y) \ (x / y). ((x * y) / x) \ (y / x) = (y / x) \ (x \ (y / x)). (i(x) / (i(x) / y)) \ (y / i(x)) = (x \ (i(x) / (i(x) / y))) \ (i(x) / (i(x) / y)). (i(x) / (x \ i(y))) \ (y / i(x)) = (x \ (i(x) / (i(x) / y))) \ (i(x) / (i(x) / y)). (i(i(x)) \ (y * x)) \ (y / i(x)) = (x \ (i(x) / (i(x) / y))) \ (i(x) / (i(x) / y)). (x \ (y * x)) \ (y / i(x)) = (x \ (i(x) / (i(x) / y))) \ (i(x) / (i(x) / y)). (x \ (y * x)) \ (i(y) \ x) = (x \ (i(x) / (i(x) / y))) \ (i(x) / (i(x) / y)). (x \ (y * x)) \ (i(y) \ x) = (x \ (i(x) / (x \ i(y)))) \ (i(x) / (i(x) / y)). (x \ (y * x)) \ (i(y) \ x) = (x \ (i(i(x)) \ (y * x))) \ (i(x) / (i(x) / y)). (x \ (y * x)) \ (i(y) \ x) = (x \ (x \ (y * x))) \ (i(x) / (i(x) / y)). (x \ (y * x)) \ (i(y) \ x) = (x \ (x \ (y * x))) \ (i(x) / (x \ i(y))). (x \ (y * x)) \ (i(y) \ x) = (x \ (x \ (y * x))) \ (i(i(x)) \ (y * x)). (x \ (y * x)) \ (i(y) \ x) = (x \ (x \ (y * x))) \ (x \ (y * x)). (x \ (y * x)) \ (i(y) \ x) = (y * x) \ (x * (y * x)). ((i(x) * y) / i(x)) \ (y * i(i(x))) = (x \ ((i(x) * y) / i(x))) \ ((i(x) * y) / i(x)). (i(i(x) * y) \ x) \ (y * i(i(x))) = (x \ ((i(x) * y) / i(x))) \ ((i(x) * y) / i(x)). ((y \ i(i(x))) \ x) \ (y * i(i(x))) = (x \ ((i(x) * y) / i(x))) \ ((i(x) * y) / i(x)). ((y \ x) \ x) \ (y * i(i(x))) = (x \ ((i(x) * y) / i(x))) \ ((i(x) * y) / i(x)). ((y \ x) \ x) \ (y * x) = (x \ ((i(x) * y) / i(x))) \ ((i(x) * y) / i(x)). ((y \ x) \ x) \ (y * x) = (x \ (i(i(x) * y) \ x)) \ ((i(x) * y) / i(x)). ((y \ x) \ x) \ (y * x) = (x \ ((y \ i(i(x))) \ x)) \ ((i(x) * y) / i(x)). ((y \ x) \ x) \ (y * x) = (x \ ((y \ x) \ x)) \ ((i(x) * y) / i(x)). ((y \ x) \ x) \ (y * x) = (x \ ((y \ x) \ x)) \ (i(i(x) * y) \ x). ((y \ x) \ x) \ (y * x) = (x \ ((y \ x) \ x)) \ ((y \ i(i(x))) \ x). ((y \ x) \ x) \ (y * x) = (x \ ((y \ x) \ x)) \ ((y \ x) \ x). ((y \ x) \ x) \ (y * x) = (((y \ x) \ x) \ y) * x. (((x \ y) \ y) \ x) * y = ((x \ y) \ y) \ (x * y). x * (((y \ x) \ x) * y) = (y * x) * y. ((x / y) \ ((y * x) / y)) * z = (y / x) * (y * ((y / x) \ z)). (x / y) / (x / (x * y)) = (y / x) \ ((x * y) / x). x * (y * (x \ (((y / x) \ (x \ (y / x))) * z))) = x \ (i(x) \ (y * (x \ z))). (x * i(y)) * ((x \ y) / x) = (y / x) \ (x \ (y / x)). (x / (x * y)) * (y / x) = (y / x) \ (x \ (y / x)). ((x \ y) / x) * (x / y) = i(x). (x / i(y)) * (i(y) / (i(y) * x)) = y. (i(x) \ y) * (i(y) / (i(y) * x)) = y. (i(x) \ y) * (i(i(y)) \ (x \ y)) = y. (i(x) \ y) * (y \ (x \ y)) = y. (x / (x * y)) / i(x) = (x / (x * y)) \ ((x / (x * y)) / (y / x)). i(x / (x * y)) \ x = (x / (x * y)) \ ((x / (x * y)) / (y / x)). ((x * y) * i(x)) \ x = (x / (x * y)) \ ((x / (x * y)) / (y / x)). (x / (x / y)) \ x = (x / (x * y)) \ ((x / (x * y)) / (y / x)). x / y = (x / (x * y)) \ ((x / (x * y)) / (y / x)). x / y = (x / (x * y)) \ ((x / y) / y). (x / (x * y)) \ ((x / y) / y) = x / y. (x * y) * ((x \ (x / y)) / ((x \ (x / y)) * x)) = i(x \ (x / y)). (x * y) * ((x \ (x / y)) / (((x / y) \ x) \ x)) = i(x \ (x / y)). (x * y) * ((x \ (x / y)) / (y \ x)) = i(x \ (x / y)). (x * y) * (y \ (x \ y)) = i(x \ (x / y)). (x * y) * (y \ (x \ y)) = i(x / y) * x. (x * y) * (y \ (x \ y)) = (y * i(x)) * x. (x * y) * (y \ (x \ y)) = x \ (i(x) \ y). ((x / (x * y)) \ i(x)) / (x / (x * y)) = i(x / (x * y)) * (y / x). ((x / (x / y)) / x) / (x / (x * y)) = i(x / (x * y)) * (y / x). ((x / (x / y)) / x) / (x / (x * y)) = ((x * y) * i(x)) * (y / x). ((x / (x / y)) / x) / (x / (x * y)) = (x / (x / y)) * (y / x). ((x / (x / y)) / x) / (x / (x * y)) = (x / (x / y)) / (x / y). (x \ i(y)) * ((y * (x * y)) * z) = (y * (x * y)) * (((y * (x * y)) \ y) * z). (x \ i(y)) * ((y * (x * y)) * z) = (y * (x * y)) * ((y \ (y / (x * y))) * z). (x \ i(y)) * ((y * (x * y)) * z) = (y * (x * y)) * ((y \ (y \ (y / x))) * z). (x \ i(y)) * ((y * (x * y)) * z) = (y * (x * y)) * ((i(y) * i(x)) * z). (x * (y * x)) * ((i(x) * i(y)) * z) = (y \ i(x)) * ((x * (y * x)) * z). (x \ (y \ i(x))) \ x = (x * (y * x)) * x. x / (x * ((y * x) * (x \ z))) = (y * (z / x)) \ i(x). x / ((i(x) \ y) * z) = (y * (z / x)) \ i(x). x / (x \ (y \ i(x))) = x * (x * (y * x)). (x / (i(y) \ x)) * ((i(y) \ x) * z) = (i(y) \ x) * ((x \ (y \ x)) * z). i(y) * ((i(y) \ x) * z) = (i(y) \ x) * ((x \ (y \ x)) * z). (i(x) \ y) * ((y \ (x \ y)) * z) = i(x) * ((i(x) \ y) * z). ((i(x) * y) \ z) \ z = z \ ((y \ x) \ z). (x * (y \ (z \ y))) * (((i(z) \ y) \ y) \ y) = (x * (i(z) \ y)) * ((i(z) \ y) \ y). (x * (y \ (z \ y))) * ((y \ (z \ y)) \ y) = (x * (i(z) \ y)) * ((i(z) \ y) \ y). (x * (y \ (z \ y))) * (y \ ((z * y) * y)) = (x * (i(z) \ y)) * ((i(z) \ y) \ y). (x * (y \ (z \ y))) * (y \ ((z * y) * y)) = (x * (i(z) \ y)) * (y \ (z \ y)). (x * (i(y) \ z)) * (z \ (y \ z)) = (x * i(y)) * (i(y) \ z). (x \ (x / (i(y) \ x))) \ (x \ (y \ x)) = x. (x \ i(y)) \ (x \ (y \ x)) = x. (i(i(x) \ y) \ y) \ y = y \ (y \ (x \ y)). ((i(y) * i(x)) \ y) \ y = y \ (y \ (x \ y)). ((x * y) * y) \ y = y \ (y \ (x \ y)). (x * (y \ (z \ y))) * (y \ ((z * y) * y)) = (x * i(z)) * (i(z) \ y). (x * y) * ((z * y) \ y) = (x * i(z)) * y. ((x * y) \ y) * i(i(x) * y) = i(y). ((x * y) \ y) * (y \ i(i(x))) = i(y). ((x * y) \ y) * (y \ x) = i(y). x \ (i((y * z) / y) * x) = (y * (z * (y \ x))) \ x. x \ ((y * i(y * z)) * x) = (y * (z * (y \ x))) \ x. x \ ((y * (z \ i(y))) * x) = (y * (z * (y \ x))) \ x. x \ (((y / z) / y) * x) = (y * (z * (y \ x))) \ x. (x * (y * (x \ z))) \ z = z \ (((x / y) / x) * z). (x / y) \ i(y) = (x * (x / y)) \ (x / y). y / (y * x) = (x * (x / y)) \ (x / y). y / (y * x) = (x / (y / x)) \ (x / y). (x / (y / x)) \ (x / y) = y / (y * x). (x * i(y)) \ (i(y) * (x * i(y))) = ((y * x) / y) \ (x * i(y)). (x * i(y)) \ (y \ (x / y)) = ((y * x) / y) \ (x * i(y)). ((x * y) / x) \ (y * i(x)) = (y * i(x)) \ (x \ (y / x)). (x / y) \ (i(y) * (x / y)) = (y / (y / x)) \ (x / y). (x / y) \ ((y \ x) / y) = (y / (y / x)) \ (x / y). (x / (x / y)) \ (y / x) = (y / x) \ ((x \ y) / x). ((i(x) * y) \ y) * (i(x) * y) = ((x * y) \ y) \ (i(x) * y). (y \ (x * y)) * (i(x) * y) = ((x * y) \ y) \ (i(x) * y). (y \ (x \ y)) \ (x \ y) = ((x * y) \ y) \ (i(x) * y). (y \ (x \ y)) \ (x \ y) = ((x \ y) \ y) / (y \ x). ((x \ y) \ y) / (y \ x) = (y \ (x \ y)) \ (x \ y). x \ (i(y \ x) * x) = ((x \ y) \ x) \ x. x \ ((i(x) * y) * x) = ((x \ y) \ x) \ x. x \ (x \ (y * x)) = ((x \ y) \ x) \ x. ((x \ y) \ x) \ x = x \ (x \ (y * x)). (x * y) \ (i(i(y)) * (x * y)) = ((x \ y) \ y) \ (x * y). (x * y) \ (y * (x * y)) = ((x \ y) \ y) \ (x * y). ((x \ y) \ y) \ (x * y) = (x * y) \ (y * (x * y)). ((x \ (y \ x)) \ (y \ x)) * z = (x \ y) * (x * ((x \ y) \ z)). (((x \ y) \ y) \ x) * y = (x * y) \ (y * (x * y)). (i(x) / (i(x) / y)) \ (y / i(x)) = (y / i(x)) \ (x * (y / i(x))). (i(x) / (x \ i(y))) \ (y / i(x)) = (y / i(x)) \ (x * (y / i(x))). (i(i(x)) \ (y * x)) \ (y / i(x)) = (y / i(x)) \ (x * (y / i(x))). (x \ (y * x)) \ (y / i(x)) = (y / i(x)) \ (x * (y / i(x))). (x \ (y * x)) \ (i(y) \ x) = (y / i(x)) \ (x * (y / i(x))). (y * x) \ (x * (y * x)) = (y / i(x)) \ (x * (y / i(x))). (y * x) \ (x * (y * x)) = (i(y) \ x) \ (x * (y / i(x))). (y * x) \ (x * (y * x)) = (i(y) \ x) \ (x * (i(y) \ x)). (y * x) \ (x * (y * x)) = (i(y) \ x) \ (x / (x \ i(y))). (y * x) \ (x * (y * x)) = (i(y) \ x) \ (i(x) \ (y * x)). (y * x) \ (x * (y * x)) = (i(y) \ x) \ ((x * y) * x). (i(x) \ y) \ ((y * x) * y) = (x * y) \ (y * (x * y)). (x * (y / (i(z) * y))) * (i(z) * y) = (x * (i(z) * y)) * (y \ (z * y)). (x * (y \ (y / i(z)))) * (i(z) * y) = (x * (i(z) * y)) * (y \ (z * y)). (x * (y \ (i(y) \ z))) * (i(z) * y) = (x * (i(z) * y)) * (y \ (z * y)). (i(x) * y) / ((i(x) * y) / (y \ (x * y))) = y * i(i(x) * y). (i(x) * y) / ((i(x) / x) * y) = y * i(i(x) * y). (i(x) * y) / ((x \ i(x)) * y) = y * i(i(x) * y). (y \ x) \ i((x \ i(x)) * y) = y * i(i(x) * y). (y \ x) \ (y \ i(x \ i(x))) = y * i(i(x) * y). (y \ x) \ (y \ (i(i(x)) * x)) = y * i(i(x) * y). (y \ x) \ (y \ (x * x)) = y * i(i(x) * y). (y \ x) \ (y \ (x * x)) = y * (y \ i(i(x))). (y \ x) \ (y \ (x * x)) = y * (y \ x). (x \ y) \ (x \ (y * y)) = y. ((x / i(y)) \ i(y)) \ (i(x) * i(y)) = (i(x) * i(y)) \ (y * (i(x) * i(y))). ((i(x) \ y) \ i(y)) \ (i(x) * i(y)) = (i(x) * i(y)) \ (y * (i(x) * i(y))). (y \ (i(x) / y)) \ (i(x) * i(y)) = (i(x) * i(y)) \ (y * (i(x) * i(y))). (y \ (x \ i(y))) \ (i(x) * i(y)) = (i(x) * i(y)) \ (y * (i(x) * i(y))). (y \ (x \ i(y))) \ (i(x) * i(y)) = (i(x) * i(y)) \ ((y * i(x)) / y). (y \ (x \ i(y))) \ (i(x) * i(y)) = (i(x) * i(y)) \ ((x / y) \ i(y)). (x \ (y \ i(x))) \ (i(y) * i(x)) = (i(y) * i(x)) \ (x / (x * y)). (x \ y) * y = x \ (y * y). (x \ y) \ x = y \ (x * x). (x \ (y * y)) / y = x \ y. x \ i(y \ x) = i(y \ (x * x)). x \ (i(x) * y) = i(y \ (x * x)). x \ (i(x) * y) = i(x * x) * y. x \ (i(x) * y) = (x \ i(x)) * y. (x \ i(x)) * y = x \ (i(x) * y). (x / y) \ (i(x) \ (i(y) * i(y))) = i(y). (x / y) \ (i(x) \ (y \ i(y))) = i(y). (x / y) \ (x / (y * y)) = i(y). x / (y \ (x * x)) = (y \ (x * x)) \ ((y \ (x * x)) / (y \ x)). (x \ (y * y)) \ ((x \ (y * y)) / (x \ y)) = y / (x \ (y * y)). (((x * x) \ ((x * x) / y)) \ x) \ (y * (x * x)) = x. (x \ y) \ ((x \ y) / y) = (x \ (y * y)) \ (x \ y). (x \ y) \ (y \ (y / x)) = (x \ (y * y)) \ (x \ y). (x \ (y * y)) \ (x \ y) = (x \ y) \ (y \ (y / x)). (x \ (y * y)) \ y = y \ (y \ (x * y)). (x \ i(y)) \ (y * y) = (y * (x * y)) * y. ((x * y) \ y) \ (y \ (x \ (y * y))) = y. (x \ y) * ((x \ y) \ (x * x)) = (x * y) * (y \ x). x * x = (x * y) * (y \ x). (x * y) * (y \ x) = x * x. (x \ (y * y)) \ (x \ (y * x)) = y \ x. (x * (y \ (z * y))) * (y \ (z \ (y * y))) = (x * (i(z) * y)) * (y \ (z * y)). i(x) \ (y * y) = x * (y * y). (x \ y) \ (y * y) = y \ ((x * y) * y). (x \ y) / (x \ (y * y)) = (y * x) \ x. ((x * y) \ y) \ (y \ x) = y \ (x * x). (x \ (y * y)) / (x \ y) = x \ (y * x). (i(x) \ y) \ (x * x) = i(y) * x. (x \ y) * y = x \ (y * y). (x / y) \ (x * x) = y * x. x \ (i(x) * (x / (x / y))) = (i(x) * y) * i(x). x \ i(x / y) = (i(x) * y) * i(x). x \ (y * i(x)) = (i(x) * y) * i(x). (x \ y) / x = (i(x) * y) * i(x). (i(x) * y) * i(x) = (x \ y) / x. (x / (y / x)) * y = x * x. (x \ (y * y)) \ (x \ (y * x)) = y / (x \ (y * y)). y \ x = y / (x \ (y * y)). x / (y \ (x * x)) = x \ y. (x \ y) * (y \ (x * x)) = x. x \ y = (y * x) \ (y * y). (x * y) \ (x * x) = y \ x. (x \ (i(y) * i(y))) * y = i(i(y) \ x). (x \ (y \ i(y))) * y = i(i(y) \ x). (x \ (y \ i(y))) * y = i(x) * i(y). (x / y) \ i(x) = i(y) \ (i(x) * i(x)). (x / y) \ i(x) = i(y) \ (x \ i(x)). (x / y) \ i(x) = y / (x * x). (i(x) * (x \ y)) * (y \ (x * x)) = 1. (x \ (i(x) * y)) * (y \ (x * x)) = 1. (x * (y \ (z * z))) * (((z \ y) \ z) \ z) = (x * (z \ y)) * ((z \ y) \ z). (x * (y \ (z * z))) * ((y \ (z * z)) \ z) = (x * (z \ y)) * ((z \ y) \ z). (x * (y \ (z * z))) * (z \ (z \ (y * z))) = (x * (z \ y)) * ((z \ y) \ z). (x * (y \ (z * z))) * (z \ (z \ (y * z))) = (x * (z \ y)) * (y \ (z * z)). (x \ (y * y)) * (y \ x) = (y \ (y \ x)) \ (y \ x). (x \ (y * y)) * (y \ x) = x \ (y * x). x * (y \ (x * x)) = x / (x \ (x \ y)). x \ (i(x) * y) = (x \ (y * x)) \ ((i(x) * y) * (i(x) * y)). x \ (i(x) * y) = (x \ (y * x)) \ ((i(x) * (y / x)) * y). x \ (i(x) * y) = (x \ (y * x)) \ (((x \ y) / x) * y). (x \ (y * x)) \ (((x \ y) / x) * y) = x \ (i(x) * y). (x * ((y * z) \ (z * y))) \ x = (x * x) \ ((x * x) / ((y * z) \ (z * y))). x \ (x / ((y * z) \ (z * y))) = (x * x) \ ((x * x) / ((y * z) \ (z * y))). (x * x) \ ((x * x) / ((y * z) \ (z * y))) = x \ (x / ((y * z) \ (z * y))). (x / y) / (x * x) = (x / (x * y)) / x. (x / (x * y)) / x = (x / y) / (x * x). (x / (y / x)) * (y / (x * x)) = 1. (x * i(y)) \ (x / (y * y)) = (y / x) \ ((y / x) / y). (x / (x / y)) \ (x / y) = x / (y * y). (x / y) * i(y) = x / (y * y). (x * y) / (x * x) = (x / (x / y)) / x. (x / (x / y)) / x = (x * y) / (x * x). ((x * y) / (x * x)) / (x / (x * y)) = (x / (x / y)) / (x / y). ((x * y) / (x * x)) * z = x * ((y / x) * (x \ z)). (x \ y) * (y * z) = y * ((y \ (x \ (y * y))) * z). x * ((x \ (y \ (x * x))) * z) = (y \ x) * (x * z). x \ i(y) = i(x \ (i(y) * i(y))) \ y. x \ i(y) = i(x \ (y \ i(y))) \ y. x \ i(y) = (i(y \ i(y)) * x) \ y. x \ i(y) = ((i(i(y)) * y) * x) \ y. x \ i(y) = ((y * y) * x) \ y. ((x * x) * y) \ x = y \ i(x). ((x * x) * i(y)) / x = (((x * x) * y) / (x * x)) \ x. (y / (x * x)) \ i(x) = (((x * x) * y) / (x * x)) \ x. (((x * x) * y) / (x * x)) \ x = (y / (x * x)) \ i(x). ((x \ (y * y)) / (x \ y)) / (y / (x \ (y * y))) = x \ (y * y). (x \ (y * x)) / (y / (x \ (y * y))) = x \ (y * y). (x \ (y * x)) / (y \ x) = x \ (y * y). (x \ y) / ((y * (x \ (y * y))) / y) = i(y). (x \ y) / ((y / (y \ (y \ x))) / y) = i(y). (x \ y) / (y * i(y \ x)) = i(y). (x \ y) / (y * (i(x) * y)) = i(y). (x \ y) / ((x / y) \ y) = i(y). (x \ y) * (y / (y * (x \ (y * y)))) = i(y). (x \ y) * (y / (y / (y \ (y \ x)))) = i(y). (x \ y) * ((y \ x) * i(y)) = i(y). (x \ y) * (y \ (x / y)) = i(y). ((x * y) * x) * y = (x * y) * (x * y). x * (y \ (x / y)) = (x / y) * (x / y). (x / y) * (x / y) = x * (y \ (x / y)). i(x) * (i(y) \ (x \ y)) = (x \ y) * (x \ y). i(x) * ((x / y) \ y) = (x \ y) * (x \ y). i(x * x) = (y \ x) \ i(x * y). x \ i(x) = (y \ x) \ i(x * y). x \ i(x) = (y \ x) \ (y \ i(x)). x \ i(x) = y \ ((x / y) \ i(x)). x \ i(x) = y \ (y / (x * x)). x \ (x / (y * y)) = y \ i(y). i(x) * (y \ (x \ i(y))) = (x \ i(y)) * (x \ i(y)). i(x) * (y \ (x \ i(y))) = (y * x) \ (x \ i(y)). (i(x) * i(y)) * (y / x) = i(x) * i(x). (i(x) * i(y)) * (y / x) = x \ i(x). ((x * x) / (x * y)) \ (x * y) = (x * y) * i(y \ x). (x / ((x * y) / x)) \ (x * y) = (x * y) * i(y \ x). (x / ((x * y) / x)) \ (x * y) = (x * y) * (i(x) * y). (x / ((x * y) / x)) \ (x * y) = (x * (y / x)) * y. (x / ((x * y) / x)) \ (x * y) = (x / (x / y)) * y. ((x \ y) * (y \ (y / x))) * y = (x \ y) * (x \ y). ((x \ y) / x) * y = (x \ y) * (x \ y). x * ((y * x) \ (x \ (x / y))) = (x \ (x / y)) * (x \ (x / y)). (x \ (x / y)) * (x \ (x / y)) = x * ((y * x) \ (x \ (x / y))). (x * (x * y)) * (x \ (x / y)) = x * x. x * ((x \ (x / y)) \ (x * y)) = (x * y) * (x * y). x * (y * (x * y)) = (x * y) * (x * y). (x * y) * (x * y) = x * (y * (x * y)). (((x / y) \ y) * (y / x)) * y = ((x / y) \ y) * ((x / y) \ y). (x * y) \ ((x * x) / (x * y)) = (y \ x) * i(x * y). (x * y) \ (x / ((x * y) / x)) = (y \ x) * i(x * y). (x * y) \ (x / ((x * y) / x)) = (y \ x) * (y \ i(x)). ((i(x) \ y) * y) * ((x \ y) \ y) = (i(x) \ y) * (i(x) \ y). (i(x) \ (y * y)) * ((x \ y) \ y) = (i(x) \ y) * (i(x) \ y). (x * (y * y)) * ((x \ y) \ y) = (i(x) \ y) * (i(x) \ y). (x * (i(y) \ x)) * (x \ (y \ x)) = x * x. (x / (x \ i(y))) * (x \ (y \ x)) = x * x. (i(x) \ (y * x)) * (x \ (y \ x)) = x * x. ((x * y) * x) * (x \ (y \ x)) = x * x. (x \ (y * x)) \ ((x \ y) * (x \ y)) = x \ (i(x) * y). (x \ y) \ (i(y) * x) = (y \ x) * (y \ x). ((x * y) * x) * y = x * (y * (x * y)). x * (i(y) * (x * i(y))) = (y / x) \ (x * i(y)). x * (y \ (x / y)) = (y / x) \ (x * i(y)). (x / y) \ (y * i(x)) = y * (x \ (y / x)). ((x * y) / x) * (y / x) = i(x) \ ((y / x) * (y / x)). x * (y * (x \ (y / x))) = i(x) \ ((y / x) * (y / x)). (x / (x * y)) \ (y / x) = i(x) \ ((y / x) * (y / x)). (x / (x * y)) \ (y / x) = i(x) \ (y * (x \ (y / x))). i(x) \ (y * (x \ (y / x))) = (x / (x * y)) \ (y / x). (((x * x) * y) \ x) * x = (x * x) \ ((x * x) / y). (y \ i(x)) * x = (x * x) \ ((x * x) / y). i(y) = (x * x) \ ((x * x) / y). (x * x) \ ((x * x) / y) = i(y). x * ((y / x) \ x) = (x / y) \ (((y / x) \ x) * ((y / x) \ x)). x / (x \ (y / x)) = (x / y) \ (((y / x) \ x) * ((y / x) \ x)). (x / y) \ (((y / x) \ x) * ((y / x) \ x)) = x / (x \ (y / x)). ((i(x) * (y * y)) \ y) * y = (y * y) \ (x * (y * y)). (y \ ((i(x) * y) \ y)) * y = (y * y) \ (x * (y * y)). (y \ (y \ (x * y))) * y = (y * y) \ (x * (y * y)). ((y \ (x * y)) \ y) \ y = (y * y) \ (x * (y * y)). ((x * y) \ (y * y)) \ y = (y * y) \ (x * (y * y)). (y \ ((x \ y) * y)) \ y = (y * y) \ (x * (y * y)). (y \ (x \ (y * y))) \ y = (y * y) \ (x * (y * y)). (x \ (y * y)) \ (y * y) = (y * y) \ (x * (y * y)). i((y * z) \ (z * y)) = x \ (x / ((y * z) \ (z * y))). i(z * y) * (y * z) = x \ (x / ((y * z) \ (z * y))). (y \ i(z)) * (y * z) = x \ (x / ((y * z) \ (z * y))). (z * y) \ (y * z) = x \ (x / ((y * z) \ (z * y))). x \ (x / ((y * z) \ (z * y))) = (z * y) \ (y * z). (i(x) \ y) \ (x * (y * y)) = y. (x * (y * ((x * z) \ (z * x)))) \ (x * y) = (z * x) \ (x * z). (x * y) \ i(y / x) = i(y * y). (x * y) \ (x * i(y)) = i(y * y). (x * y) \ (x * i(y)) = y \ i(y). (x * y) / (y * y) = (y * y) \ ((y * y) / (y / x)). (x * y) / (y * y) = i(y / x). (x * y) / (y * y) = x * i(y). ((x * x) \ ((x * x) / (x / y))) \ (y * x) = x * x. i(x / y) \ (y * x) = x * x. (x * i(y)) \ (x * y) = y * y. (x * y) * (y / x) = ((y * y) \ (y / x)) \ (y / x). ((x * x) \ (x / y)) \ (x / y) = (y * x) * (x / y). (x * i(y)) \ (y * y) = (y / (y \ x)) * y. (x * i(y)) \ (y * y) = ((y \ x) / y) \ y. ((x / y) / x) \ (x * x) = (i(x) \ y) * x. ((x / y) / x) \ (x * x) = x * (y * x). x * ((x \ y) * ((x * (x / z)) \ ((z / x) \ x))) = y * ((x * (x / z)) \ ((x / z) * x)). x * ((x \ y) * ((x / (z / x)) \ ((z / x) \ x))) = y * ((x * (x / z)) \ ((x / z) * x)). x * ((x \ y) * ((x / (z / x)) \ ((z / x) \ x))) = y * ((x / (z / x)) \ ((x / z) * x)). x * ((x \ y) * ((x / (z / x)) \ ((z / x) \ x))) = y * ((x / (z / x)) \ ((z / x) \ x)). (x * x) / y = x / (y / x). (x * x) * (y / x) = x * ((y / x) \ (y * (y / x))). (x * x) * (y / x) = x * ((y / x) \ (y / (x / y))). (x * x) * (y / x) = x * ((x * y) / x). (x * x) * (y / x) = x / (x / (x * y)). x / (y * y) = x \ (x / (y / (x / y))). x \ (x / (y / (x / y))) = x / (y * y). i(x) * (y * y) = ((y / (x / y)) \ x) \ x. ((x / (y / x)) \ y) \ y = i(y) * (x * x). ((x / (x \ y)) / (y * i(x))) * x = (x / (x \ y)) * (x / (x \ y)). (i(x / (x \ y)) \ (x / y)) * x = (x / (x \ y)) * (x / (x \ y)). (((x \ y) * i(x)) \ (x / y)) * x = (x / (x \ y)) * (x / (x \ y)). ((x \ (y / x)) \ (x / y)) * x = (x / (x \ y)) * (x / (x \ y)). ((x \ (y / x)) \ (x / y)) * x = x * ((x \ y) \ (x / (x \ y))). x \ (i(y / (x / y)) * x) = (y * y) \ x. x \ (((x / y) * i(y)) * x) = (y * y) \ x. x \ ((x / (y * y)) * x) = (y * y) \ x. x \ (((y * y) / x) \ x) = (y * y) \ x. x \ ((y / (x / y)) \ x) = (y * y) \ x. (i(x / (y / x)) * y) \ y = y \ (x * x). (((y / x) * i(x)) * y) \ y = y \ (x * x). ((y / (x * x)) * y) \ y = y \ (x * x). (((x * x) / y) \ y) \ y = y \ (x * x). ((x / (y / x)) \ y) \ y = y \ (x * x). i(x) * (y * y) = x \ (y * y). (x * x) \ (x / (y / x)) = i(y). i(x) \ y = x \ i(y \ (i(x) * i(x))). i(x) \ y = x \ i(y \ (x \ i(x))). i(x) \ y = x \ (i(x \ i(x)) * y). i(x) \ y = x \ ((i(i(x)) * x) * y). i(x) \ y = x \ ((x * x) * y). x \ ((x * x) * y) = i(x) \ y. ((x \ (y * y)) \ y) / y = y \ (y \ x). (y \ (y \ (x * y))) / y = y \ (y \ x). i(x) * (i(x) * y) = x \ (x \ y). x / ((i(y) * x) \ (x * x)) = (y * x) \ x. x / (x \ ((i(y) \ x) * x)) = (y * x) \ x. x / (x \ (i(y) \ (x * x))) = (y * x) \ x. x / (x \ (y * (x * x))) = (y * x) \ x. (x \ y) \ ((y * x) \ x) = y \ (y \ x). (x / y) * (i(y) \ (i(x) * i(x))) = i(x). (x / y) * (i(y) \ (x \ i(x))) = i(x). (x / y) * (y / (x * x)) = i(x). ((x \ (y * y)) \ y) / (x \ (y * y)) = i(x \ (y * y)) * (y \ x). (y \ (y \ (x * y))) / (x \ (y * y)) = i(x \ (y * y)) * (y \ x). (y \ (y \ (x * y))) / (x \ (y * y)) = (i(y * y) * x) * (y \ x). (y \ (y \ (x * y))) / (x \ (y * y)) = ((y \ i(y)) * x) * (y \ x). (x \ (x \ (y * x))) / (y \ (x * x)) = (x \ (i(x) * y)) * (x \ y). (x \ y) / (y * y) = (y * y) \ ((y * y) / (y * x)). (x \ y) / (y * y) = (y * y) \ (y / ((y * x) / y)). (x \ y) / (y * y) = i(y * x). (x \ y) / (y * y) = x \ i(y). ((x * x) \ ((x * x) / (x * y))) \ (y \ x) = x * x. ((x * x) \ (x / ((x * y) / x))) \ (y \ x) = x * x. i(x * y) \ (y \ x) = x * x. (x \ i(y)) \ (x \ y) = y * y. (x \ y) * (y * x) = ((y * y) \ (y * x)) \ (y * x). ((x * x) \ (x * y)) \ (x * y) = (y \ x) * (x * y). (i(x * y) \ (x * x)) \ (x * x) = (x * x) \ (y \ x). ((y \ i(x)) \ (x * x)) \ (x * x) = (x * x) \ (y \ x). ((x * (y * x)) * x) \ (x * x) = (x * x) \ (y \ x). x \ (((x * (y * x)) \ x) * x) = (x * x) \ (y \ x). x \ ((x \ (x / (y * x))) * x) = (x * x) \ (y \ x). x \ ((x \ (x \ (x / y))) * x) = (x * x) \ (y \ x). x \ ((i(x) * i(y)) * x) = (x * x) \ (y \ x). x \ (x \ (i(y) * x)) = (x * x) \ (y \ x). x \ ((y * x) \ x) = (x * x) \ (y \ x). (x * x) \ (y \ x) = x \ ((y * x) \ x). (x \ y) \ (y * x) = (y * y) \ ((y * x) * (y * x)). (x \ y) \ (y * x) = (y * y) \ (y * (x * (y * x))). (x * x) \ (x * (y * (x * y))) = (y \ x) \ (x * y). (x / (y / x)) * (y * z) = y * ((y \ (x * x)) * z). i(x / (y / x)) = y * i(x * x). (y / x) * i(x) = y * i(x * x). y / (x * x) = y * i(x * x). y / (x * x) = y * (x \ i(x)). x * (y \ i(y)) = x / (y * y). (x * x) / i(y) = x / (y \ i(x)). i(x * x) \ y = x / (y \ i(x)). (x \ i(x)) \ y = x / (y \ i(x)). (x \ i(x)) \ y = i(x) \ (x * y). (x * y) / (((x * y) * y) / (x * y)) = ((x * y) * x) / (x * y). ((x * x) * y) * i(x * x) = (x * x) / (x / (y / x)). ((x * x) * y) * (x \ i(x)) = (x * x) / (x / (y / x)). ((x * x) * y) / (x * x) = (x * x) / (x / (y / x)). ((x * x) * y) / (x * x) = x / ((x / (y / x)) / x). ((x * x) * y) / (x * x) = x / (x / ((x * y) / x)). x * (y / (x / y)) = x / (x / (y * y)). (x / (x / (y * y))) / (y / (x / y)) = x. ((x * y) * (x * y)) / y = (x * y) / (y \ (y / x)). (x * (y * (x * y))) / y = (x * y) / (y \ (y / x)). (x * (y * (x * y))) / y = (x * y) * x. (x * x) / ((x * x) \ (x / (y / x))) = (x * x) * y. (x * x) / i(y) = (x * x) * y. i(x * x) \ y = (x * x) * y. (x \ i(x)) \ y = (x * x) * y. i(x) \ (x * y) = (x * x) * y. ((x \ (x / y)) * (x \ (x / y))) / x = (x \ (x / y)) / (x * y). (x * ((y * x) \ (x \ (x / y)))) / x = (x \ (x / y)) / (x * y). ((y * x) / x) \ ((x \ (x / y)) / x) = (x \ (x / y)) / (x * y). y \ ((x \ (x / y)) / x) = (x \ (x / y)) / (x * y). y \ (i(y) * i(x)) = (x \ (x / y)) / (x * y). (y * y) \ i(x) = (x \ (x / y)) / (x * y). (x \ (x / y)) / (x * y) = (y * y) \ i(x). (x * x) \ (x / ((y / (x * x)) / x)) = (x * x) / y. i(y / (x * x)) = (x * x) / y. (x * x) * i(y) = (x * x) / y. (x * x) * i(y) = x / (y / x). (x / (x / ((x * y) / x))) \ x = (y / (x * x)) \ i(x). x / ((x * y) / x) = (y / (x * x)) \ i(x). (x / (y * y)) \ i(y) = y / ((y * x) / y). (x \ i(x)) \ y = (x * x) * y. x * (i(x) \ y) = (x * x) * y. ((x * y) \ y) / (x \ y) = i(y). (x \ i(y)) * (z \ (y * x)) = (z * (y * x)) \ (y * x). (x / i(y)) * ((z * y) \ y) = i(y) * ((i(y) \ x) * (z \ y)). (i(x) \ y) * ((z * y) \ y) = i(y) * ((i(y) \ x) * (z \ y)). i(x) * ((i(x) \ y) * (z \ x)) = (i(y) \ x) * ((z * x) \ x). (x * i(y)) * (z \ (y / x)) = (z * (y / x)) \ (y / x). i(x * i(y)) * (y \ (x * i(y))) = ((y * x) / y) \ (x * i(y)). (i(y) \ i(x)) * (y \ (x * i(y))) = ((y * x) / y) \ (x * i(y)). (y / x) * (y \ (x * i(y))) = ((y * x) / y) \ (x * i(y)). (y / x) * ((y \ x) / y) = ((y * x) / y) \ (x * i(y)). (y / x) * ((y \ x) / y) = (x * i(y)) \ (y \ (x / y)). (x * i(y)) \ (y \ (x / y)) = (y / x) * ((y \ x) / y). i(x / (x / y)) * (y / x) = (x * (x / (x / y))) \ (x / (x / y)). ((x / y) * i(x)) * (y / x) = (x * (x / (x / y))) \ (x / (x / y)). (x / (x * y)) * (y / x) = (x * (x / (x / y))) \ (x / (x / y)). (y / x) \ (x \ (y / x)) = (x * (x / (x / y))) \ (x / (x / y)). (y / x) \ (x \ (y / x)) = (x / ((x / y) / x)) \ (x / (x / y)). (y / x) \ (x \ (y / x)) = (x / y) / ((x / y) * x). (y / x) \ (x \ (y / x)) = (x / y) / ((y / x) \ x). (x / y) / ((y / x) \ x) = (y / x) \ (x \ (y / x)). i(x / (y / x)) * (x / y) = (x * (x / (y / x))) \ (x / (y / x)). ((y / x) * i(x)) * (x / y) = (x * (x / (y / x))) \ (x / (y / x)). (y / (x * x)) * (x / y) = (x * (x / (y / x))) \ (x / (y / x)). (y / (x * x)) * (x / y) = (x / ((y / x) / x)) \ (x / (y / x)). (y / (x * x)) * (x / y) = (y / x) / ((y / x) * x). (x / (y * y)) * (y / x) = (x / y) / x. ((x \ y) / x) \ (x \ ((x \ y) / x)) = (y * i(x)) \ (x \ (y / x)). ((x \ y) / x) \ (x \ ((x \ y) / x)) = (x / y) * ((x \ y) / x). (x * y) \ (x / (x * y)) = y \ i(x * y). (x * y) \ (x / (x * y)) = y \ (y \ i(x)). (x / (x / y)) \ (x / (x / (x / y))) = (y / x) \ i(x / (x / y)). i(x / y) \ ((x / y) / x) = (y / x) \ i(x / (x / y)). (y * i(x)) \ ((x / y) / x) = (y / x) \ i(x / (x / y)). (y * i(x)) \ ((x / y) / x) = (y / x) \ ((x / y) * i(x)). (x * i(y)) \ ((y / x) / y) = (x / y) \ (y / (y * x)). (((x / y) / x) \ x) * ((x / y) / x) = (y \ i(x)) \ ((x / y) / x). (i(x) \ y) * ((x / y) / x) = (y \ i(x)) \ ((x / y) / x). (i(x) \ y) / (x / (x / y)) = (y \ i(x)) \ ((x / y) / x). (i(x) \ y) / (x / (x / y)) = (x * y) / ((x * y) / x). x / (x / (y \ i(x))) = ((x / y) / x) * i(x). x / (i(x) \ (x * y)) = ((x / y) / x) * i(x). x / ((x * x) * y) = ((x / y) / x) * i(x). x / ((x * x) * y) = (x / y) / (x * x). (x / y) / (x * x) = x / ((x * x) * y). x \ ((y * i(x)) / x) = (x / (x \ y)) \ i(x). x \ ((x / y) \ i(x)) = (x / (x \ y)) \ i(x). x \ (y / (x * x)) = (x / (x \ y)) \ i(x). x \ (y / (x * x)) = (x \ y) / (x * x). (x \ y) / (x * x) = x \ (y / (x * x)). (x \ i(y)) * ((y / x) / y) = y \ (((y / x) / y) * ((y / x) / y)). (x \ i(y)) * ((y / x) / y) = y \ ((y / x) * (y \ ((y / x) / y))). (x \ i(y)) * ((y / x) / y) = y \ ((y / x) * (x \ i(y))). (x / (x * y)) / x = x / ((x * x) * y). ((x / y) \ y) / (((x / y) \ y) \ y) = i(y / x) \ ((x / y) \ y). ((x / y) \ y) / (i(y) * x) = i(y / x) \ ((x / y) \ y). i((x / y) \ y) \ (x \ y) = i(y / x) \ ((x / y) \ y). (i(y) * (x / y)) \ (x \ y) = i(y / x) \ ((x / y) \ y). ((y \ x) / y) \ (x \ y) = i(y / x) \ ((x / y) \ y). ((y \ x) / y) \ (x \ y) = (x * i(y)) \ ((x / y) \ y). (x * i(y)) \ ((x / y) \ y) = ((y \ x) / y) \ (x \ y). (x / ((x \ (y \ x)) / x)) / (i(y) \ x) = x. (x / (x \ i(y))) / (i(y) \ x) = x. (i(x) \ (y * x)) / (i(y) \ x) = x. ((x * y) * x) / (i(y) \ x) = x. x / (x \ (y \ (x * x))) = i(x \ y) \ x. x / (x \ (y \ (x * x))) = (i(y) * x) \ x. x / (x \ (y \ (x * x))) = x \ (y * x). (x * x) / ((x * x) \ (y * x)) = i(x / y) \ (x * x). (x * x) / (x \ ((x \ y) * x)) = i(x / y) \ (x * x). (x * x) / (x \ ((y \ x) \ x)) = i(x / y) \ (x * x). x / ((x \ ((y \ x) \ x)) / x) = i(x / y) \ (x * x). x / (x \ i(y \ x)) = i(x / y) \ (x * x). x / (x \ (i(x) * y)) = i(x / y) \ (x * x). x / (x \ (i(x) * y)) = (y * i(x)) \ (x * x). x / (x \ (i(x) * y)) = ((x \ y) / x) \ x. (x * x) / ((x * x) \ (y \ x)) = i(x * y) \ (x * x). (x * x) / (x \ ((y * x) \ x)) = i(x * y) \ (x * x). x / ((x \ ((y * x) \ x)) / x) = i(x * y) \ (x * x). x / (x \ i(y * x)) = i(x * y) \ (x * x). x / (x \ (x \ i(y))) = i(x * y) \ (x * x). x / (x \ (x \ i(y))) = (y \ i(x)) \ (x * x). x / (x \ (x \ i(y))) = (x * (y * x)) * x. (x / y) / ((x / y) \ i(y)) = i(i(x)) * (x / y). (x / y) / (y / (y * x)) = i(i(x)) * (x / y). (x / y) / (y / (y * x)) = x * (x / y). (x / y) / (y / (y * x)) = x / (y / x). x / (x \ ((y * x) * (x \ z))) = i(y * (z / x)) * x. x / (x \ ((y * x) * (x \ z))) = ((z / x) \ i(y)) * x. (x \ (y * x)) * (i(x) * (x \ (y * x))) = (i(y) * x) \ (x \ (y * x)). (x \ (y * x)) * (x \ (i(x) * (y * x))) = (i(y) * x) \ (x \ (y * x)). (x \ (y * x)) * (x \ ((y \ x) \ x)) = (i(y) * x) \ (x \ (y * x)). (x / (x * y)) / ((x / (x * y)) \ i(x)) = i(y / x) * (x / (x * y)). (x / (x * y)) / ((x * y) / (x * x)) = i(y / x) * (x / (x * y)). (x / (x * y)) / ((x * y) / (x * x)) = (x * i(y)) * (x / (x * y)). x / (x \ (y * y)) = i(y / (x / y)) * x. x / (x \ (y * y)) = ((x / y) * i(y)) * x. x / (x \ (y * y)) = (x / (y * y)) * x. x / (x \ (y * y)) = ((y * y) / x) \ x. x / (x \ (y * y)) = (y / (x / y)) \ x. ((x \ (y * x)) * (x \ (y * x))) / x = (x \ (y * x)) / (i(y) * x). (((i(x) * y) * y) * x) / x = (x \ (y * x)) / (i(y) * x). (((i(y) * x) \ y) * x) / x = (x \ (y * x)) / (i(y) * x). (i(y) * x) \ y = (x \ (y * x)) / (i(y) * x). (i(y) * x) \ y = i(x \ (y * x)) \ (x \ y). (i(y) * x) \ y = (i(y * x) * x) \ (x \ y). (i(y) * x) \ y = ((x \ i(y)) * x) \ (x \ y). (i(y) * x) \ y = ((i(y) \ x) \ x) \ (x \ y). (i(y) * x) \ y = (x \ (y \ x)) \ (x \ y). (x \ (y \ x)) \ (x \ y) = (i(y) * x) \ y. (x / (y / x)) \ (y \ (i(y) \ x)) = y * i(x). (x / y) / (x / (y / x)) = y \ (y / x). (x / y) \ ((x / y) / x) = y \ (y / x). (x * i(y)) \ (x / (y * y)) = x \ (x / y). (x / y) / (x / (y / x)) = y \ (y / x). (x \ (x / y)) * (y / (x / y)) = y / x. ((x / y) \ y) * (x \ (x / y)) = y / x. ((x / y) \ y) \ (y / x) = x \ (x / y). (x \ y) \ (x / (x * (y \ (x * x)))) = i(x). (x \ y) \ (x / (x / (x \ (x \ y)))) = i(x). (x \ y) \ ((x \ y) * i(x)) = i(x). (x \ y) \ (x \ (y / x)) = i(x). (x / (x * y)) / ((x / (x * y)) \ i(x)) = i(x / y) \ (x / (x * y)). (x / (x * y)) / ((x * y) / (x * x)) = i(x / y) \ (x / (x * y)). (x * i(y)) * (x / (x * y)) = i(x / y) \ (x / (x * y)). (x * i(y)) * (x / (x * y)) = (y * i(x)) \ (x / (x * y)). (x / (x / (x / y))) \ (x / (x / y)) = i(x / (x / y)) \ (y / x). x / ((x / y) * (x / y)) = i(x / (x / y)) \ (y / x). x / (x * (y \ (x / y))) = i(x / (x / y)) \ (y / x). x / (x * (y \ (x / y))) = ((x / y) * i(x)) \ (y / x). x / (x * (y \ (x / y))) = (x / (x * y)) \ (y / x). (x / (x / (x \ y))) \ (x / (x \ y)) = i(x / (x \ y)) \ (y \ x). (y * i(x)) \ (x / (x \ y)) = i(x / (x \ y)) \ (y \ x). (y * i(x)) \ (x / (x \ y)) = ((x \ y) * i(x)) \ (y \ x). (x * i(y)) \ (y / (y \ x)) = (y \ (x / y)) \ (x \ y). ((x * i(y)) / y) \ y = i(y) \ (y / (y \ x)). ((y / x) \ i(y)) \ y = i(y) \ (y / (y \ x)). (x / (y * y)) \ y = i(y) \ (y / (y \ x)). i(x) \ (x / (x \ y)) = (y / (x * x)) \ x. ((x \ i(y)) / y) \ y = i(y) \ (y * (x * y)). ((y * x) \ i(y)) \ y = i(y) \ (y * (x * y)). y * ((y * x) * y) = i(y) \ (y * (x * y)). y * ((y * x) * y) = (y * y) * (x * y). (x * x) * (y * x) = x * ((x * y) * x). (i(x) \ y) \ ((x / y) / x) = x \ (((x / y) / x) * ((x / y) / x)). (i(x) \ y) \ ((x / y) / x) = x \ ((x / y) * (x \ ((x / y) / x))). (i(x) \ y) \ ((x / y) / x) = x \ ((x / y) * (y \ i(x))). (i(x * x) \ y) / x = (((x * x) / y) / (x * x)) \ x. ((x \ i(x)) \ y) / x = (((x * x) / y) / (x * x)) \ x. ((x * x) * y) / x = (((x * x) / y) / (x * x)) \ x. ((x * x) * y) / x = ((x / (y / x)) / (x * x)) \ x. ((x * x) * y) / x = (x / ((x * x) * (y / x))) \ x. ((x * x) * y) / x = (x / (x / (x / (x * y)))) \ x. ((x * x) * y) / x = x / (x / (x * y)). (x / (x \ y)) * (i(y) * x) = (x \ (y / x)) \ (y \ x). ((x * y) * x) * (x \ i(y)) = x. ((x * ((x \ y) * z)) * (y / x)) \ (y / x) = (y / x) \ i(x * z). ((x * ((x \ y) * z)) * (y / x)) \ (y / x) = (y / x) \ (z \ i(x)). ((x * (y \ (z * y))) * ((x / y) * z)) \ ((x / y) * z) = ((x / y) * z) \ i(y). (x \ y) \ (x \ (x \ y)) = i(y) * (x \ y). (x \ y) \ (x \ (x \ y)) = (x * y) \ y. ((x / i(y)) \ i(y)) \ (i(x) * i(y)) = (y \ ((x / i(y)) \ i(y))) \ ((x / i(y)) \ i(y)). ((i(x) \ y) \ i(y)) \ (i(x) * i(y)) = (y \ ((x / i(y)) \ i(y))) \ ((x / i(y)) \ i(y)). (y \ (i(x) / y)) \ (i(x) * i(y)) = (y \ ((x / i(y)) \ i(y))) \ ((x / i(y)) \ i(y)). (y \ (x \ i(y))) \ (i(x) * i(y)) = (y \ ((x / i(y)) \ i(y))) \ ((x / i(y)) \ i(y)). (i(x) * i(y)) \ (y / (y * x)) = (y \ ((x / i(y)) \ i(y))) \ ((x / i(y)) \ i(y)). (i(x) * i(y)) \ (y / (y * x)) = (y \ ((i(x) \ y) \ i(y))) \ ((x / i(y)) \ i(y)). (i(x) * i(y)) \ (y / (y * x)) = (y \ (y \ (i(x) / y))) \ ((x / i(y)) \ i(y)). (i(x) * i(y)) \ (y / (y * x)) = (y \ (y \ (x \ i(y)))) \ ((x / i(y)) \ i(y)). (i(x) * i(y)) \ (y / (y * x)) = (y \ (y \ (x \ i(y)))) \ ((i(x) \ y) \ i(y)). (i(x) * i(y)) \ (y / (y * x)) = (y \ (y \ (x \ i(y)))) \ (y \ (i(x) / y)). (i(x) * i(y)) \ (y / (y * x)) = (y \ (y \ (x \ i(y)))) \ (y \ (x \ i(y))). (i(x) * i(y)) \ (y / (y * x)) = (x \ i(y)) \ (y * (x \ i(y))). (i(x) * i(y)) \ (y / (y * x)) = (x \ i(y)) \ ((y / x) / y). (i(x) * i(y)) \ (y / (y * x)) = (y * x) / ((y * x) / y). x \ ((y / (x / y)) \ x) = i(y * y) * x. (y * y) \ x = i(y * y) * x. (y * y) \ x = (y \ i(y)) * x. (y * y) \ x = y \ (i(y) * x). x \ (i(x) * y) = (x * x) \ y. x / ((x * x) \ y) = ((x \ y) / x) \ x. (x \ (x \ (y * x))) / (y \ (x * x)) = ((x * x) \ y) * (x \ y). (x \ (y * x)) \ ((x \ y) * (x \ y)) = (x * x) \ y. ((x * x) \ y) * (y \ (x * x)) = 1. (x \ i(x)) * y = (x * x) \ y. ((x * x) \ y) \ (x \ ((y \ x) \ x)) = x. i(x) * (x \ y) = (x * x) \ y. (x \ (y * x)) / ((x \ (y * x)) / i(x)) = (x \ y) * i(x \ (y * x)). (x \ (y * x)) / (i(x \ (y * x)) \ x) = (x \ y) * i(x \ (y * x)). (x \ (y * x)) / ((i(y * x) * x) \ x) = (x \ y) * i(x \ (y * x)). (x \ (y * x)) / (((x \ i(y)) * x) \ x) = (x \ y) * i(x \ (y * x)). (x \ (y * x)) / (((i(y) \ x) \ x) \ x) = (x \ y) * i(x \ (y * x)). (x \ (y * x)) / ((x \ (y \ x)) \ x) = (x \ y) * i(x \ (y * x)). (x \ (y * x)) / ((y \ x) \ (x * x)) = (x \ y) * i(x \ (y * x)). (x \ (y * x)) / (x \ ((y * x) * x)) = (x \ y) * i(x \ (y * x)). (y \ x) \ (x \ (y \ x)) = (x \ y) * i(x \ (y * x)). (y \ x) \ (x \ (y \ x)) = (x \ y) * (i(y * x) * x). (y \ x) \ (x \ (y \ x)) = (x \ y) * ((x \ i(y)) * x). (y \ x) \ (x \ (y \ x)) = (x \ y) * ((i(y) \ x) \ x). (y \ x) \ (x \ (y \ x)) = (x \ y) * (x \ (y \ x)). (x \ y) * (x \ (y \ x)) = (y \ x) \ (x \ (y \ x)). i(x) \ ((x \ (y * x)) \ ((x \ y) * (x \ y))) = x \ y. i(x) \ ((x * x) \ y) = x \ y. ((x \ (y * x)) \ ((x \ y) * (x \ y))) / (x \ y) = i(x). ((x * x) \ y) / (x \ y) = i(x). (x * x) \ (i(x) \ y) = x \ y. (i(x) \ y) / (x \ y) = x * x. ((x / y) * (x / y)) * ((x / y) \ z) = (y * i(x)) \ z. (x * (y \ (x / y))) * ((x / y) \ z) = (y * i(x)) \ z. (i(x) * i(x)) * (x / y) = i(i(x)) \ i(y). (x \ i(x)) * (x / y) = i(i(x)) \ i(y). (x * x) \ (x / y) = i(i(x)) \ i(y). (x * x) \ (x / y) = x \ i(y). (i(x) \ y) * i(x * x) = (x * x) / ((x * x) / (x \ y)). (i(x) \ y) * (x \ i(x)) = (x * x) / ((x * x) / (x \ y)). (i(x) \ y) / (x * x) = (x * x) / ((x * x) / (x \ y)). (i(x) \ y) / (x * x) = (x * x) / (x / ((x \ y) / x)). (i(x) \ y) / (x * x) = x / ((x / ((x \ y) / x)) / x). (i(x) \ y) / (x * x) = x / (x / ((x * (x \ y)) / x)). (i(x) \ y) / (x * x) = x / (x / (y / x)). ((i(x) \ y) / (x * x)) \ (x * x) = (x * x) * i(x \ y). (x / (x / (y / x))) \ (x * x) = (x * x) * i(x \ y). (x / (y / x)) * x = (x * x) * i(x \ y). ((y / x) / x) \ x = (x * x) * i(x \ y). ((y / x) / x) \ x = (x * x) * (i(y) * x). ((y / x) / x) \ x = x * ((x * i(y)) * x). ((y / x) / x) \ x = x * (x / (x \ y)). ((y / x) / x) \ x = x / ((x \ y) / x). x / ((x \ y) / x) = ((y / x) / x) \ x. (x * x) * (y \ x) = i(x) \ (x / (x \ y)). (x * x) * (y \ x) = (y / (x * x)) \ x. ((x / y) * (x / y)) * x = i(x / y) \ ((y / x) \ x). (x * (y \ (x / y))) * x = i(x / y) \ ((y / x) \ x). (x * (y \ (x / y))) * x = (y * i(x)) \ ((y / x) \ x). (x * (y \ (x / y))) * x = ((x \ y) / x) \ (y \ x). ((i(x) * y) * (i(x) * y)) * x = i(i(x) * y) \ (x \ (y * x)). (i(x) * (y * (i(x) * y))) * x = i(i(x) * y) \ (x \ (y * x)). (i(x) * ((x / y) \ y)) * x = i(i(x) * y) \ (x \ (y * x)). ((x \ y) * (x \ y)) * x = i(i(x) * y) \ (x \ (y * x)). ((x \ y) * (x \ y)) * x = (y \ i(i(x))) \ (x \ (y * x)). ((x \ y) * (x \ y)) * x = (y \ x) \ (x \ (y * x)). (x * x) * (y * i(x)) = i(x) \ ((x * y) / x). (x * x) * (y * i(x)) = (x * (x * y)) / x. (x * x) * (y * i(x)) = x / ((x / y) / x). (x * x) * (y \ i(x)) = i(x) \ ((x / y) / x). (x * x) * (y \ i(x)) = (x * (x / y)) / x. (x * x) * (y \ i(x)) = (x / (y / x)) / x. (x * x) * (y \ i(x)) = x / ((x * y) / x). ((x / y) * (x / y)) * i(x) = i(x / y) \ (x / (x * y)). (x * (y \ (x / y))) * i(x) = i(x / y) \ (x / (x * y)). x / (x / (y \ (x / y))) = i(x / y) \ (x / (x * y)). x / (x / (y \ (x / y))) = (y * i(x)) \ (x / (x * y)). (x * i(y)) \ (y / (y * x)) = y / (y / (x \ (y / x))). ((x \ (y * x)) * (x \ (y * x))) * i(x) = i(x \ (y * x)) \ (x \ y). (((i(x) * y) * y) * x) * i(x) = i(x \ (y * x)) \ (x \ y). (((i(y) * x) \ y) * x) * i(x) = i(x \ (y * x)) \ (x \ y). x \ (i(x) \ ((i(y) * x) \ y)) = i(x \ (y * x)) \ (x \ y). x \ (i(x) \ ((i(y) * x) \ y)) = (i(y * x) * x) \ (x \ y). x \ (i(x) \ ((i(y) * x) \ y)) = ((x \ i(y)) * x) \ (x \ y). x \ (i(x) \ ((i(y) * x) \ y)) = ((i(y) \ x) \ x) \ (x \ y). x \ (i(x) \ ((i(y) * x) \ y)) = (x \ (y \ x)) \ (x \ y). x \ (i(x) \ ((i(y) * x) \ y)) = (i(y) * x) \ y. (x \ i(y)) \ (x / y) = (y * x) * (x / y). (x * i(y)) * (x / (x * y)) = x / (x / (y \ (x / y))). (x / (x / y)) / ((x / (x / y)) / x) = (i(x) \ y) * i(x / (x / y)). (x / (x / y)) / ((x * y) / (x * x)) = (i(x) \ y) * i(x / (x / y)). (x / (x / y)) / ((x * y) / (x * x)) = (i(x) \ y) * ((x / y) * i(x)). (x / (x / y)) / ((x * y) / (x * x)) = (i(x) \ y) * (x / (x * y)). (i(x) \ y) / ((i(x) \ y) \ x) = i(x / (x / y)) \ (i(x) \ y). (i(x) \ y) / i(y) = i(x / (x / y)) \ (i(x) \ y). i(i(x) \ y) \ y = i(x / (x / y)) \ (i(x) \ y). (i(y) * i(x)) \ y = i(x / (x / y)) \ (i(x) \ y). (x * y) * y = i(x / (x / y)) \ (i(x) \ y). (x * y) * y = ((x / y) * i(x)) \ (i(x) \ y). (x * y) * y = (x / (x * y)) \ (i(x) \ y). (x / (x * y)) \ (i(x) \ y) = (x * y) * y. (x * (y * y)) * (y \ i(x)) = (x * (y * y)) / ((x * (y * y)) / y). (x * (y * y)) * (y \ i(x)) = (x * (y * y)) / (i(x) \ y). x / (x \ (x \ i(y))) = x * (y * (x * x)). (x * (y * x)) * x = x * (y * (x * x)). (x * (y * y)) * ((x * (y * y)) / y) = (x * (y * y)) / (y \ i(x)). (x * (y * y)) * (i(x) \ y) = (x * (y * y)) / (y \ i(x)). (x * (y * y)) * (i(x) \ y) = i(x * (y * y)) \ (x * y). (x * (y * y)) * (i(x) \ y) = ((y * y) \ i(x)) \ (x * y). (x \ i(y)) * i(x) = x / (x * (y * (x * x))). x \ (i(y) / x) = x / (x * (y * (x * x))). x \ (y \ i(x)) = x / (x * (y * (x * x))). x / (x * (y * (x * x))) = x \ (y \ i(x)). x \ ((x \ i(y)) / x) = (y * (x * x)) \ i(x). x \ ((y * x) \ i(x)) = (y * (x * x)) \ i(x). (x * (y * y)) \ i(y) = y \ ((x * y) \ i(y)). (x \ i(y)) \ (y * y) = y * (x * (y * y)). ((x / y) / y) / (x / y) = (x / y) * i(x). ((x / y) / y) / (x / y) = x / (x * y). (x * i(y)) * (x * z) = x * ((x \ (x / (x \ y))) * z). (x * i(y)) * (x * z) = x * ((y \ x) * z). ((i(i(x)) * y) / ((i(i(x)) * y) \ x)) / (i(i(x)) * y) = i(x) \ (y * i(x)). ((x * y) / ((i(i(x)) * y) \ x)) / (i(i(x)) * y) = i(x) \ (y * i(x)). ((x * y) / ((x * y) \ x)) / (i(i(x)) * y) = i(x) \ (y * i(x)). ((x * y) / (x \ (x / y))) / (i(i(x)) * y) = i(x) \ (y * i(x)). ((x * y) * y) / (i(i(x)) * y) = i(x) \ (y * i(x)). ((x * y) * y) / (x * y) = i(x) \ (y * i(x)). ((x * y) * y) / (x * y) = x / (x / y). ((x / (x \ y)) * x) \ (x / (x \ y)) = (x / (x \ y)) \ (x * i(y)). (((x \ y) / x) \ x) \ (x / (x \ y)) = (x / (x \ y)) \ (x * i(y)). (x \ y) \ ((x \ y) / x) = (x / (x \ y)) \ (x * i(y)). y \ (y / x) = (x / (x \ y)) \ (x * i(y)). y \ (y / x) = (y \ x) \ (x \ (x / y)). (x \ y) \ (y \ (y / x)) = x \ (x / y). ((x / y) / x) / (x / y) = (x / y) * i((y / x) \ x). ((x / y) / x) / (x / y) = (x / y) * (i(x) * (y / x)). ((x / y) / x) / (x / y) = (x / y) * ((x \ y) / x). (x / y) * ((x \ y) / x) = ((x / y) / x) / (x / y). (x * i(y)) * i(x / (x \ y)) = (x / (x \ y)) / ((x / (x \ y)) * x). (x * i(y)) * ((x \ y) * i(x)) = (x / (x \ y)) / ((x / (x \ y)) * x). (x * i(y)) * (x \ (y / x)) = (x / (x \ y)) / ((x / (x \ y)) * x). (x * (y / x)) \ (y / x) = (x / (x \ y)) / ((x / (x \ y)) * x). (x / (x / y)) \ (y / x) = (x / (x \ y)) / ((x / (x \ y)) * x). (y / x) \ ((x \ y) / x) = (x / (x \ y)) / ((x / (x \ y)) * x). (y / x) \ ((x \ y) / x) = (x / (x \ y)) / (((x \ y) / x) \ x). (y / x) \ ((x \ y) / x) = ((x \ y) / x) \ (x \ ((x \ y) / x)). (y / x) \ ((x \ y) / x) = (x / y) * ((x \ y) / x). (y / x) \ ((x \ y) / x) = ((x / y) / x) / (x / y). ((x / y) / x) / (x / y) = (y / x) \ ((x \ y) / x). (x / (x \ y)) / (i(x / (x \ y)) \ x) = (x * i(y)) / (x / (x \ y)). (x / (x \ y)) / (((x \ y) * i(x)) \ x) = (x * i(y)) / (x / (x \ y)). (x / (x \ y)) / ((x \ (y / x)) \ x) = (x * i(y)) / (x / (x \ y)). (x / (x \ y)) / ((y / x) \ (x * x)) = (x * i(y)) / (x / (x \ y)). (x / (x \ y)) / ((y / x) \ (x * x)) = (y / x) \ i(x / (x \ y)). (x / (x \ y)) / ((y / x) \ (x * x)) = (y / x) \ ((x \ y) * i(x)). (x / (x \ y)) / ((y / x) \ (x * x)) = (y / x) \ (x \ (y / x)). ((x \ y) / y) / (x \ y) = (x \ y) * i(x \ (y * y)). (y \ (y / x)) / (x \ y) = (x \ y) * i(x \ (y * y)). x \ (y \ x) = (x \ y) * i(x \ (y * y)). x \ (y \ x) = (x \ y) * (i(y * y) * x). x \ (y \ x) = (x \ y) * ((y \ i(y)) * x). x \ (y \ x) = (x \ y) * ((y * y) \ x). (x \ y) * ((y * y) \ x) = x \ (y \ x). ((x \ (y * x)) / i(x)) / (x \ (y * x)) = (x \ (y * x)) * i(x \ y). (i(x \ (y * x)) \ x) / (x \ (y * x)) = (x \ (y * x)) * i(x \ y). ((i(y * x) * x) \ x) / (x \ (y * x)) = (x \ (y * x)) * i(x \ y). (((x \ i(y)) * x) \ x) / (x \ (y * x)) = (x \ (y * x)) * i(x \ y). (((i(y) \ x) \ x) \ x) / (x \ (y * x)) = (x \ (y * x)) * i(x \ y). ((x \ (y \ x)) \ x) / (x \ (y * x)) = (x \ (y * x)) * i(x \ y). ((y \ x) \ (x * x)) / (x \ (y * x)) = (x \ (y * x)) * i(x \ y). (x \ ((y * x) * x)) / (x \ (y * x)) = (x \ (y * x)) * i(x \ y). (x \ ((y * x) * x)) / (x \ (y * x)) = (x \ (y * x)) * (i(y) * x). (x \ ((y * x) * x)) / (x \ (y * x)) = (x \ (y \ x)) \ (y \ x). (x * y) / (x / (x / y)) = ((x * y) * x) / (x * y). ((x * y) * x) / (x * y) = (x * y) / (x / (x / y)). (x \ i(y)) \ (x \ (x / y)) = y / (y / x). (x \ (y * y)) \ (x \ y) = x \ (x / y). (x \ y) / (y / (y \ x)) = x \ (x / y). (x \ (x / y)) \ (i(y) * i(x)) = y \ (y / x). (x \ (x / y)) \ (y \ (x \ y)) = x \ y. ((x \ y) / x) \ (x \ ((x \ y) / x)) = ((x / y) / x) / (x / y). ((x \ y) / x) \ (x \ ((x \ y) / x)) = (y / x) \ ((x \ y) / x). (x * (i(y) * i(y))) \ (x * i(y)) = y. (x * (y \ i(y))) \ (x * i(y)) = y. (x / (y * y)) \ (x * i(y)) = y. i(x) * (y * (x * x)) = ((y * x) \ (y * (x * x))) \ (y * (x * x)). x \ ((y * x) * x) = ((y * x) \ (y * (x * x))) \ (y * (x * x)). x \ ((y * x) * x) = (y \ (i(y) \ x)) \ (y * (x * x)). (x \ (i(x) \ y)) \ (x * (y * y)) = y \ ((x * y) * y). (x * y) / ((x * y) \ i(y)) = i(x * (y * y)) \ (x * y). i(x * y) \ (y * (x * y)) = i(x * (y * y)) \ (x * y). (y \ i(x)) \ (y * (x * y)) = i(x * (y * y)) \ (x * y). (y \ i(x)) \ (y * (x * y)) = ((y * y) \ i(x)) \ (x * y). ((x * x) \ i(y)) \ (y * x) = (x \ i(y)) \ (x * (y * x)). (x * (y * y)) * (i(x) \ y) = (y \ i(x)) \ (y * (x * y)). (((x \ y) \ y) \ i(y)) * ((x * y) * ((x \ y) \ y)) = (x \ y) \ y. (y \ ((x \ y) / y)) * ((x * y) * ((x \ y) \ y)) = (x \ y) \ y. (y \ (y \ (y / x))) * ((x * y) * ((x \ y) \ y)) = (x \ y) \ y. (i(y) * i(x)) * ((x * y) * ((x \ y) \ y)) = (x \ y) \ y. (i(x) * i(y)) * (y * (y * x)) = (y \ x) \ x. ((x \ (x / y)) \ x) / ((x * y) * x) = i(x). ((x / y) \ (x * x)) / ((x * y) * x) = i(x). (x * y) / ((y * x) * y) = i(y). ((x * y) / i(y)) * ((x \ y) \ y) = (x * y) * (x * y). (i(x * y) \ y) * ((x \ y) \ y) = (x * y) * (x * y). ((y \ i(x)) \ y) * ((x \ y) \ y) = (x * y) * (x * y). (i(x) \ (y * y)) * ((x \ y) \ y) = (x * y) * (x * y). (x * (y * y)) * ((x \ y) \ y) = (x * y) * (x * y). (i(x) \ y) * (i(x) \ y) = (x * y) * (x * y). (i(x) \ y) * (i(x) \ y) = x * (y * (x * y)). (x * ((y / z) \ z)) * (i(z) * y) = (x * (y / z)) * ((y / z) \ z). (x \ (x / ((y / x) \ x))) \ (i(x) * y) = x. (x \ (y / x)) \ (i(x) * y) = x. (((x / y) \ y) * ((x / y) \ y)) * (i(y) * x) = i((x / y) \ y) \ y. (((x / y) \ y) * (x / y)) * ((x / y) \ y) = i((x / y) \ y) \ y. ((y \ (x / y)) \ (x / y)) * ((x / y) \ y) = i((x / y) \ y) \ y. ((x / y) \ ((y * x) / y)) * ((x / y) \ y) = i((x / y) \ y) \ y. (y / x) * (y * ((y / x) \ ((x / y) \ y))) = i((x / y) \ y) \ y. (y / x) * (y * y) = i((x / y) \ y) \ y. (y / x) * (y * y) = (i(y) * (x / y)) \ y. (x / y) * (x * x) = ((x \ y) / x) \ x. (x / (x \ y)) \ ((x / (x \ y)) / i(x)) = (x / y) \ (x / (x \ y)). (x / (x \ y)) \ (i(x / (x \ y)) \ x) = (x / y) \ (x / (x \ y)). (x / (x \ y)) \ (((x \ y) * i(x)) \ x) = (x / y) \ (x / (x \ y)). (x / (x \ y)) \ ((x \ (y / x)) \ x) = (x / y) \ (x / (x \ y)). (x / (x \ y)) \ ((y / x) \ (x * x)) = (x / y) \ (x / (x \ y)). (x / (x \ y)) \ ((y / x) \ (x * x)) = y \ (i(y) \ x). (x / (x \ y)) / ((x / (x \ y)) / i(x)) = (x / y) * i(x / (x \ y)). (x / (x \ y)) / (i(x / (x \ y)) \ x) = (x / y) * i(x / (x \ y)). (x / (x \ y)) / (((x \ y) * i(x)) \ x) = (x / y) * i(x / (x \ y)). (x / (x \ y)) / ((x \ (y / x)) \ x) = (x / y) * i(x / (x \ y)). (x / (x \ y)) / ((y / x) \ (x * x)) = (x / y) * i(x / (x \ y)). (y / x) \ (x \ (y / x)) = (x / y) * i(x / (x \ y)). (y / x) \ (x \ (y / x)) = (x / y) * ((x \ y) * i(x)). (y / x) \ (x \ (y / x)) = (x / y) * (x \ (y / x)). (y / x) \ (x \ (y / x)) = (x / (x * y)) / (x / y). (x / (x * y)) / (x / y) = (y / x) \ (x \ (y / x)). (i(x / (x \ y)) \ (x / y)) \ (x / y) = (x / y) \ i(x). (((x \ y) * i(x)) \ (x / y)) \ (x / y) = (x / y) \ i(x). ((x \ (y / x)) \ (x / y)) \ (x / y) = (x / y) \ i(x). ((x \ (y / x)) \ (x / y)) \ (x / y) = y / (x * x). ((i(x) * y) / (y \ (x * y))) \ ((i(x) * y) / y) = i(i(x) * y). ((i(x) / x) * y) \ ((i(x) * y) / y) = i(i(x) * y). ((x \ i(x)) * y) \ ((i(x) * y) / y) = i(i(x) * y). ((x * x) \ y) \ ((i(x) * y) / y) = i(i(x) * y). ((x * x) \ y) \ i(x) = i(i(x) * y). ((x * x) \ y) \ i(x) = y \ i(i(x)). ((x * x) \ y) \ i(x) = y \ x. i(x) \ (x / (x \ y)) = (x / y) \ ((x / (x \ y)) * (x / (x \ y))). (y / (x * x)) \ x = (x / y) \ ((x / (x \ y)) * (x / (x \ y))). (y / (x * x)) \ x = (x / y) \ (x * ((x \ y) \ (x / (x \ y)))). (x / y) \ (x * ((x \ y) \ (x / (x \ y)))) = (y / (x * x)) \ x. (x / y) * (x \ (y / x)) = (y / x) \ (x \ (y / x)). (x / y) * (i(x) * ((x / y) \ z)) = ((y / x) \ (x \ (y / x))) * z. ((x * i(y)) / y) * (y * z) = y * (((y \ x) / y) * z). ((y / x) \ i(y)) * (y * z) = y * (((y \ x) / y) * z). (x / (y * y)) * (y * z) = y * (((y \ x) / y) * z). (x / y) \ (i(y) * i(x / y)) = (y / (y * x)) / (x / y). (x / y) \ (i(y) * (y * i(x))) = (y / (y * x)) / (x / y). (x / y) \ (y \ (i(y) \ i(x))) = (y / (y * x)) / (x / y). (x / y) \ (y \ (y / x)) = (y / (y * x)) / (x / y). (x / y) \ (y \ (y / x)) = (y / x) / x. (x / ((x \ y) / x)) / ((y * i(x)) \ x) = x. (((y / x) / x) \ x) / ((y * i(x)) \ x) = x. (((x / y) / y) \ y) / (y / (y \ x)) = y. (i(x) \ y) \ (y * i(i(x) \ y)) = (y \ (x \ y)) / (i(x) \ y). (i(x) \ y) \ (y * (i(y) * i(x))) = (y \ (x \ y)) / (i(x) \ y). (i(x) \ y) \ (y \ (i(y) \ i(x))) = (y \ (x \ y)) / (i(x) \ y). (i(x) \ y) \ (y \ (y / x)) = (y \ (x \ y)) / (i(x) \ y). (x \ (y \ x)) / (i(y) \ x) = (i(y) \ x) \ (x \ (x / y)). (x * y) \ ((x * x) * i(x * y)) = (y \ x) / (x * y). (x * y) \ ((x * x) * (y \ i(x))) = (y \ x) / (x * y). (x * y) \ (x / ((x * y) / x)) = (y \ x) / (x * y). (x \ y) * (x \ i(y)) = (x \ y) / (y * x). (x * y) \ (x / ((x * y) / x)) = (y \ x) / (x * y). (x * i(x / y)) \ (x / y) = (x / y) / y. (x * (y * i(x))) \ (x / y) = (x / y) / y. ((x * y) / x) \ (x / y) = (x / y) / y. (x * (y * i(z))) \ (z / y) = (z / y) / ((z / y) \ x). (x * (i(y) * z)) \ (z \ y) = (z \ y) / ((z \ y) \ x). ((x * i(y)) * (i(y) \ z)) \ y = y / (y \ (x * (z / i(y)))). ((x * i(y)) * (i(y) \ z)) \ y = y / (y \ (x * (i(z) \ y))). (x * i(x \ y)) \ (x \ y) = (x \ y) / (y \ (x * x)). (x * (i(y) * x)) \ (x \ y) = (x \ y) / (y \ (x * x)). ((y / x) \ x) \ (x \ y) = (x \ y) / (y \ (x * x)). (x \ y) / (y \ (x * x)) = ((y / x) \ x) \ (x \ y). (x \ (i(y) * i(y))) \ y = y / (y \ (x \ i(y))). (x \ (y \ i(y))) \ y = y / (y \ (x \ i(y))). (x \ (y \ i(y))) \ y = y * (y * (x * y)). ((x * x) * i(x / y)) \ (x / y) = (x / y) / (y * x). ((x * x) * (y * i(x))) \ (x / y) = (x / y) / (y * x). (x / ((x / y) / x)) \ (x / y) = (x / y) / (y * x). ((x * x) * i(x * y)) \ (x * y) = (x * y) / (y \ x). ((x * x) * (y \ i(x))) \ (x * y) = (x * y) / (y \ x). (x / ((x * y) / x)) \ (x * y) = (x * y) / (y \ x). (x / (x / y)) * y = (x * y) / (y \ x). (x * i(y)) \ (y * i(x * i(y))) = (y / (y \ x)) / (x * i(y)). (x * i(y)) \ (y * (i(y) \ i(x))) = (y / (y \ x)) / (x * i(y)). (x * i(y)) \ (y * (y / x)) = (y / (y \ x)) / (x * i(y)). (x * i(y)) \ (y / (x / y)) = (y / (y \ x)) / (x * i(y)). (x * i(y)) \ (y / (x / y)) = i(y / (y \ x)) \ (y / x). (x * i(y)) \ (y / (x / y)) = ((y \ x) * i(y)) \ (y / x). (x * i(y)) \ (y / (x / y)) = (y \ (x / y)) \ (y / x). (x / ((x * y) / x)) \ (x * y) = (x * y) / (y \ x). (x \ i(y)) \ (z \ (y * x)) = (z / (y * x)) \ (y * x). (i(x) * y) \ (z \ (y \ x)) = (z / (y \ x)) \ (y \ x). (i(x \ y) * i(y)) * ((x / y) \ y) = 1. ((i(y) * x) * i(y)) * ((x / y) \ y) = 1. ((x \ y) / x) * ((y / x) \ x) = 1. (x * ((y / z) \ z)) * ((i(z) \ (y \ z)) \ (y \ z)) = (x * i(z)) * (i(z) \ (y \ z)). (x * ((y / z) \ z)) * (((y / z) \ z) \ (y \ z)) = (x * i(z)) * (i(z) \ (y \ z)). (x * ((y / z) \ z)) * ((y \ z) \ (z \ (y \ z))) = (x * i(z)) * (i(z) \ (y \ z)). (x * ((y / z) \ z)) * ((y \ z) \ (z \ (y \ z))) = (x * i(z)) * ((y / z) \ z). i(x) * ((y \ x) \ i(x)) = i(x) / ((y / x) \ x). i(x) * (x \ (y / x)) = i(x) / ((y / x) \ x). (x * x) \ (y / x) = i(x) / ((y / x) \ x). (x * x) \ (y / x) = x \ i((y / x) \ x). (x * x) \ (y / x) = x \ (i(x) * (y / x)). (x * x) \ (y / x) = x \ ((x \ y) / x). (x \ y) \ ((x / y) \ y) = (y \ (x \ y)) \ (x \ y). (x \ (y \ x)) \ (y \ x) = (y \ x) \ ((y / x) \ x). i(i(x) \ y) \ ((x \ y) \ y) = (y / (i(x) \ y)) \ (i(x) \ y). (i(y) * i(x)) \ ((x \ y) \ y) = (y / (i(x) \ y)) \ (i(x) \ y). (i(y) * i(x)) \ ((x \ y) \ y) = i(x) \ (i(x) \ y). (i(x) * i(y)) \ ((y \ x) \ x) = y * (y * x). i(x * x) \ (y * x) = ((x / y) / (x * x)) \ (x * x). (x \ i(x)) \ (y * x) = ((x / y) / (x * x)) \ (x * x). (x * x) * (y * x) = ((x / y) / (x * x)) \ (x * x). x * ((x * y) * x) = ((x / y) / (x * x)) \ (x * x). x * ((x * y) * x) = (x / ((x * x) * y)) \ (x * x). x * ((x * y) * x) = ((x * x) * y) * x. ((x * x) * y) * x = x * ((x * y) * x). i((x / y) \ y) \ (i(x) * y) = (y / ((x / y) \ y)) \ ((x / y) \ y). (i(y) * (x / y)) \ (i(x) * y) = (y / ((x / y) \ y)) \ ((x / y) \ y). ((y \ x) / y) \ (i(x) * y) = (y / ((x / y) \ y)) \ ((x / y) \ y). ((x \ y) / x) \ (i(y) * x) = (y / x) \ ((y / x) \ x). (i(x) / ((y / x) \ x)) \ (i(x) / (y \ x)) = i(i(x)). (x \ i((y / x) \ x)) \ (i(x) / (y \ x)) = i(i(x)). (x \ (i(x) * (y / x))) \ (i(x) / (y \ x)) = i(i(x)). (x \ ((x \ y) / x)) \ (i(x) / (y \ x)) = i(i(x)). (x \ ((x \ y) / x)) \ (x \ i(y \ x)) = i(i(x)). (x \ ((x \ y) / x)) \ (x \ (i(x) * y)) = i(i(x)). (x \ ((x \ y) / x)) \ ((x * x) \ y) = i(i(x)). (x \ ((x \ y) / x)) \ ((x * x) \ y) = x. (x \ ((y * x) * x)) / (x \ (y * x)) = (y \ x) \ ((y / x) \ x). ((x \ y) \ ((x / y) \ y)) * z = (y \ x) * (y * ((y \ x) \ z)). i(x) \ (((x \ y) / x) * ((x \ y) / x)) = (y / x) * ((x \ y) / x). i(x) \ ((x \ y) * (x \ ((x \ y) / x))) = (y / x) * ((x \ y) / x). (x / (x * (x \ y))) \ ((x \ y) / x) = (y / x) * ((x \ y) / x). (x / y) \ ((x \ y) / x) = (y / x) * ((x \ y) / x). (x / y) * ((y \ x) / y) = (y / x) \ ((y \ x) / y). (x / y) * ((y \ x) / y) = (y / (x / y)) \ (x / y). (y / x) \ ((y \ x) / y) = (y / (x / y)) \ (x / y). (x / (y / x)) \ (y / x) = (x / y) \ ((x \ y) / x). i(i(x) \ y) * (y / (i(x) \ y)) = (y \ (x \ y)) / (i(x) \ y). (i(y) * i(x)) * (y / (i(x) \ y)) = (y \ (x \ y)) / (i(x) \ y). (i(y) * i(x)) * i(x) = (y \ (x \ y)) / (i(x) \ y). (i(y) / x) / x = (y \ (x \ y)) / (i(x) \ y). (y \ i(x)) / x = (y \ (x \ y)) / (i(x) \ y). (x * y) \ i(x) = (y \ (x \ y)) / (i(x) \ y). (x * y) \ i(x) = (i(x) \ y) \ (y \ (y / x)). (i(x) \ y) \ (y \ (y / x)) = (x * y) \ i(x). i(x / y) * ((x * x) / (x / y)) = (y * x) / (x / y). (y * i(x)) * ((x * x) / (x / y)) = (y * x) / (x / y). (x * i(y)) * (y / ((y / x) / y)) = (x * y) / (y / x). (x \ (y \ x)) / (i(y) \ x) = (y * x) \ i(y). (x * i((x * y) \ (y * x))) \ (x * 1) = (x * y) \ (y * x). (x * (i(y * x) * (x * y))) \ (x * 1) = (x * y) \ (y * x). (x * ((x \ i(y)) * (x * y))) \ (x * 1) = (x * y) \ (y * x). (x * ((y * x) \ (x * y))) \ (x * 1) = (x * y) \ (y * x). (y \ (x * y)) \ (x * 1) = (x * y) \ (y * x). (x \ (y * x)) \ y = (y * x) \ (x * y). ((x * y) \ (y * x)) * (x * z) = ((x * (z * ((x * y) \ (y * x)))) \ (x * z)) \ (x * z). ((x * y) \ (y * x)) * (x * z) = ((y * x) \ (x * y)) \ (x * z). (x * y) * ((x * (y * ((x * z) \ (z * x)))) \ (x * y)) = (x * y) / ((x * z) \ (z * x)). (x * y) * ((z * x) \ (x * z)) = (x * y) / ((x * z) \ (z * x)). x * (y * ((z * x) \ (x * z))) = (x * y) / ((x * z) \ (z * x)). (x * y) * (((x * y) \ z) * ((x * y) \ (y * x))) = z * ((y \ (x * y)) \ x). (z / (x * y)) * (y * x) = z * ((y \ (x * y)) \ x). (x / (y * z)) * (z * y) = x * ((y * z) \ (z * y)). (i(x) * (x / y)) / ((i(x) * z) \ (z * i(x))) = i(y) * ((z * i(x)) \ (i(x) * z)). i(y) / ((i(x) * z) \ (z * i(x))) = i(y) * ((z * i(x)) \ (i(x) * z)). y \ i((i(x) * z) \ (z * i(x))) = i(y) * ((z * i(x)) \ (i(x) * z)). y \ (i(z * i(x)) * (i(x) * z)) = i(y) * ((z * i(x)) \ (i(x) * z)). y \ ((i(x) \ i(z)) * (i(x) * z)) = i(y) * ((z * i(x)) \ (i(x) * z)). y \ ((x / z) * (i(x) * z)) = i(y) * ((z * i(x)) \ (i(x) * z)). i(x) * ((y * i(z)) \ (i(z) * y)) = x \ ((z / y) * (i(z) * y)). ((x \ y) * i(x \ (y * y))) \ ((x \ y) / y) = x \ y. ((x \ y) * (i(y * y) * x)) \ ((x \ y) / y) = x \ y. ((x \ y) * ((y \ i(y)) * x)) \ ((x \ y) / y) = x \ y. ((x \ y) * ((y * y) \ x)) \ ((x \ y) / y) = x \ y. (x \ (y \ x)) \ ((x \ y) / y) = x \ y. (x \ (y \ x)) \ (y \ (y / x)) = x \ y. ((x * i(y)) * (x * i(y))) * x = i(x * i(y)) \ (x / (x \ y)). (x * (i(y) * (x * i(y)))) * x = i(x * i(y)) \ (x / (x \ y)). (x * (y \ (x / y))) * x = i(x * i(y)) \ (x / (x \ y)). ((x \ y) / x) \ (y \ x) = i(x * i(y)) \ (x / (x \ y)). ((x \ y) / x) \ (y \ x) = (i(y) \ i(x)) \ (x / (x \ y)). ((x \ y) / x) \ (y \ x) = (y / x) \ (x / (x \ y)). (x * (y \ (x / y))) * x = (y / x) \ (x / (x \ y)). i(x * y) \ (((x * z) \ (z * x)) * (x * y)) = (x * (y * ((x * z) \ (z * x)))) * (x * y). (y \ i(x)) \ (((x * z) \ (z * x)) * (x * y)) = (x * (y * ((x * z) \ (z * x)))) * (x * y). (y \ i(x)) \ (((z * x) \ (x * z)) \ (x * y)) = (x * (y * ((x * z) \ (z * x)))) * (x * y). (((z * x) \ (x * z)) / (x * y)) \ (x * y) = (x * (y * ((x * z) \ (z * x)))) * (x * y). (x * (y * ((x * z) \ (z * x)))) * (x * y) = (((z * x) \ (x * z)) / (x * y)) \ (x * y). (x \ i(y)) \ (z * (y * x)) = ((y * x) * z) * (y * x). (x * i(y)) \ (z * (y / x)) = ((y / x) * z) * (y / x). i(x / y) \ i(y) = ((x / y) * i(x)) * (x / y). (y * i(x)) \ i(y) = ((x / y) * i(x)) * (x / y). (x / y) / y = ((x / y) * i(x)) * (x / y). (x / y) / y = (x / (x * y)) * (x / y). (x / (x * y)) * (x / y) = (x / y) / y. i(x / y) \ (x * (x / y)) = ((y / x) \ x) * (x / y). (y * i(x)) \ (x * (x / y)) = ((y / x) \ x) * (x / y). (y * i(x)) \ (x / (y / x)) = ((y / x) \ x) * (x / y). (x \ (y / x)) \ (x / y) = ((y / x) \ x) * (x / y). ((x / y) \ y) * (y / x) = (y \ (x / y)) \ (y / x). (x * y) * ((y * x) * y) = (x * y) / ((x * y) \ i(y)). (x * y) * ((y * x) * y) = i(x * y) \ (y * (x * y)). (x * y) * ((y * x) * y) = (y \ i(x)) \ (y * (x * y)). (x * y) * ((y * x) * y) = ((x * y) * y) * (x * y). ((x * y) * y) * (x * y) = (x * y) * ((y * x) * y). (x * (y * y)) * (i(x) \ y) = ((x * y) * y) * (x * y). (x * (y * y)) * (i(x) \ y) = (x * y) * ((y * x) * y). ((y \ (x / y)) \ (y / x)) * y = ((x / y) \ y) * ((x / y) \ y). y * ((y \ x) \ (y / (y \ x))) = ((x / y) \ y) * ((x / y) \ y). ((x / y) \ y) * ((x / y) \ y) = y * ((y \ x) \ (y / (y \ x))). (x / y) \ (x * ((x \ y) \ (x / (x \ y)))) = x / (x \ (y / x)). (y / (x * x)) \ x = x / (x \ (y / x)). x / (x \ (y / x)) = (y / (x * x)) \ x. (i(x) \ (y * i(x))) / ((i(x) \ (y * i(x))) \ x) = ((i(x) \ (y * i(x))) * y) * i(x). (x / (x / y)) / ((i(x) \ (y * i(x))) \ x) = ((i(x) \ (y * i(x))) * y) * i(x). (x / (x / y)) / ((x / (x / y)) \ x) = ((i(x) \ (y * i(x))) * y) * i(x). (x / (x / y)) / (x / y) = ((i(x) \ (y * i(x))) * y) * i(x). (x / (x / y)) / (x / y) = ((x / (x / y)) * y) * i(x). (x / (x / y)) / (x / y) = ((x * y) / (y \ x)) * i(x). ((x * y) / (y \ x)) * i(x) = (x / (x / y)) / (x / y). (x * (y * i(z))) * x = x / (x \ (z / y)). ((x / y) * (y * i(z))) * y = x * (y \ (y / (y \ z))). (y * ((y \ x) * i(z))) * y = x * (y \ (y / (y \ z))). y / (y \ (z / (y \ x))) = x * (y \ (y / (y \ z))). x / (x \ (y / (x \ z))) = z * (y \ x). ((x \ y) * i(x)) * (x \ y) = (x \ y) / (y \ (x * x)). (x \ (y / x)) * (x \ y) = (x \ y) / (y \ (x * x)). (x \ (y / x)) * (x \ y) = ((y / x) \ x) \ (x \ y). (x / (x \ y)) * (x \ (x * i(y))) = (x * i(y)) * (x * i(y)). (x / (x \ y)) * i(y) = (x * i(y)) * (x * i(y)). (x / (x \ y)) * i(y) = x * (i(y) * (x * i(y))). (x / (x \ y)) * i(y) = x * (y \ (x / y)). (x / (y \ i(x))) * ((y \ i(x)) * z) = (y \ i(x)) * ((x * (y * x)) * z). (i(x) \ (x * y)) * ((y \ i(x)) * z) = (y \ i(x)) * ((x * (y * x)) * z). ((x * x) * y) * ((y \ i(x)) * z) = (y \ i(x)) * ((x * (y * x)) * z). (x \ i(y \ i(x))) \ (y \ i(x)) = (y \ i(x)) * ((x / y) / x). (x \ (i(i(x)) * y)) \ (y \ i(x)) = (y \ i(x)) * ((x / y) / x). (x \ (x * y)) \ (y \ i(x)) = (y \ i(x)) * ((x / y) / x). y \ (y \ i(x)) = (y \ i(x)) * ((x / y) / x). y \ (y \ i(x)) = x \ ((x / y) * (y \ i(x))). x \ ((x / y) * (y \ i(x))) = y \ (y \ i(x)). ((x \ y) \ i(y)) \ y = y * (x \ (y * y)). (y \ (x / y)) \ y = y * (x \ (y * y)). (x / y) \ (y * y) = y * (x \ (y * y)). (x / y) \ (y * y) = y / (y \ (y \ x)). x / (x \ (x \ y)) = (y / x) \ (x * x). (i(x) \ y) \ ((x / y) / x) = y \ (y \ i(x)). (x * (y * ((x * z) \ (z * x)))) * (x * y) = (x * (y * ((x * z) \ (z * x)))) / (((x * z) \ (z * x)) / (x * (y * ((x * z) \ (z * x))))). (((z * x) \ (x * z)) / (x * y)) \ (x * y) = (x * (y * ((x * z) \ (z * x)))) / (((x * z) \ (z * x)) / (x * (y * ((x * z) \ (z * x))))). (((z * x) \ (x * z)) / (x * y)) \ (x * y) = (x * (y * ((x * z) \ (z * x)))) / (((x * z) \ (z * x)) \ (((x * z) \ (z * x)) / (x * y))). (x * (y * ((x * z) \ (z * x)))) / (((x * z) \ (z * x)) \ (((x * z) \ (z * x)) / (x * y))) = (((z * x) \ (x * z)) / (x * y)) \ (x * y). ((x * (y * ((x * z) \ (z * x)))) / (((x * z) \ (z * x)) / (x * (y * ((x * z) \ (z * x)))))) / (x * y) = x * (y * ((x * z) \ (z * x))). ((x * (y * ((x * z) \ (z * x)))) / (((x * z) \ (z * x)) \ (((x * z) \ (z * x)) / (x * y)))) / (x * y) = x * (y * ((x * z) \ (z * x))). ((((z * x) \ (x * z)) / (x * y)) \ (x * y)) / (x * y) = x * (y * ((x * z) \ (z * x))). (x * y) \ ((x * y) / (((z * x) \ (x * z)) / (x * y))) = x * (y * ((x * z) \ (z * x))). (x * y) / ((z * x) \ (x * z)) = x * (y * ((x * z) \ (z * x))). x * (y * ((x * z) \ (z * x))) = (x * y) / ((z * x) \ (x * z)). (i(x) * (x / y)) / ((z * i(x)) \ (i(x) * z)) = i(y) * ((i(x) * z) \ (z * i(x))). i(y) / ((z * i(x)) \ (i(x) * z)) = i(y) * ((i(x) * z) \ (z * i(x))). y \ i((z * i(x)) \ (i(x) * z)) = i(y) * ((i(x) * z) \ (z * i(x))). y \ (i(i(x) * z) * (z * i(x))) = i(y) * ((i(x) * z) \ (z * i(x))). y \ ((z \ i(i(x))) * (z * i(x))) = i(y) * ((i(x) * z) \ (z * i(x))). y \ ((z \ x) * (z * i(x))) = i(y) * ((i(x) * z) \ (z * i(x))). i(x) * ((i(y) * z) \ (z * i(y))) = x \ ((z \ y) * (z * i(y))). (x * y) * ((x * z) \ (z * x)) = (x * y) / ((z * x) \ (x * z)). (i(x) \ y) * i((y * x) * y) = i(y). (i(x) \ y) * (y \ i(y * x)) = i(y). (i(x) \ y) * (y \ (x \ i(y))) = i(y). (((x * y) * x) / x) * (x * z) = x * ((i(y) \ x) * z). (x * y) * (x * z) = x * ((i(y) \ x) * z). x * ((i(y) \ x) * z) = (x * y) * (x * z). ((x * y) * x) \ (i(x) \ ((x * y) * x)) = (i(y) \ x) \ ((x * y) * x). ((x * y) * x) \ ((x * (x * y)) * x) = (i(y) \ x) \ ((x * y) * x). x \ (((x * y) \ (x * (x * y))) * x) = (i(y) \ x) \ ((x * y) * x). x \ (((x \ y) \ y) * x) = (i(y) \ x) \ ((x * y) * x). x \ (((x \ y) \ y) * x) = (y * x) \ (x * (y * x)). (x * y) \ (y * (x * y)) = y \ (((y \ x) \ x) * y). (x * y) \ ((x * x) * (x * y)) = i(y \ x) \ (x * y). (x * y) \ (x * ((x * x) * y)) = i(y \ x) \ (x * y). (x * y) \ (x * ((x * x) * y)) = (i(x) * y) \ (x * y). (x * y) \ (x * ((x * x) * y)) = y \ ((i(x) \ x) * y). (x * y) \ (x * ((x * x) * y)) = y \ ((x * x) * y). (x * x) * (i(y) \ x) = i(x) \ ((x * y) * x). (i(y) / (x * x)) \ x = i(x) \ ((x * y) * x). (y \ i(x * x)) \ x = i(x) \ ((x * y) * x). (y \ (x \ i(x))) \ x = i(x) \ ((x * y) * x). x * (x * (y * x)) = i(x) \ ((x * y) * x). x * (x * (y * x)) = (x * (x * y)) * x. (x * (x * y)) * x = x * (x * (y * x)). (i(x) \ y) \ ((y * x) * y) = y \ (((y \ x) \ x) * y). (((x \ y) \ y) \ x) * y = y \ (((y \ x) \ x) * y). (x \ (y * x)) \ (i(y) \ x) = x \ (((x \ y) \ y) * x). ((x * (i(x \ y) \ z)) / x) * y = x * ((x \ y) * (z * (x \ y))). ((x * ((i(y) * x) \ z)) / x) * y = x * ((x \ y) * (z * (x \ y))). (((i(y) * x) / x) \ (z / x)) * y = x * ((x \ y) * (z * (x \ y))). (i(y) \ (z / x)) * y = x * ((x \ y) * (z * (x \ y))). y * ((z / x) * y) = x * ((x \ y) * (z * (x \ y))). x * ((x \ y) * (z * (x \ y))) = y * ((z / x) * y). (x * (y * (z * y))) / (x * y) = (x * (i(y) \ z)) / x. (x * (y * (z * y))) / (x * y) = (i(y) / x) \ (z / x). (x * (y * (z * y))) / (x * y) = (y \ i(x)) \ (z / x). (i(x) \ y) * (x * i(i(x) \ y)) = (x * (y * x)) / (i(x) \ y). (i(x) \ y) * (x * (i(y) * i(x))) = (x * (y * x)) / (i(x) \ y). (i(x) \ y) * ((x * i(y)) / x) = (x * (y * x)) / (i(x) \ y). (i(x) \ y) * ((y / x) \ i(x)) = (x * (y * x)) / (i(x) \ y). (i(x) \ y) * (x / (x * y)) = (x * (y * x)) / (i(x) \ y). (i(x) \ y) * (x / (x * y)) = (x * y) / (x / (x / y)). (i(x \ y) \ (x * x)) * (x \ y) = (x \ y) * (i(x) \ y). ((i(y) * x) \ (x * x)) * (x \ y) = (x \ y) * (i(x) \ y). (x \ ((i(y) \ x) * x)) * (x \ y) = (x \ y) * (i(x) \ y). (x \ (i(y) \ (x * x))) * (x \ y) = (x \ y) * (i(x) \ y). (x \ (y * (x * x))) * (x \ y) = (x \ y) * (i(x) \ y). ((i(x) \ y) / i(x)) * x = x * ((y * i(i(x))) * x). (i(i(x) \ y) \ x) * x = x * ((y * i(i(x))) * x). ((i(y) * i(x)) \ x) * x = x * ((y * i(i(x))) * x). (x / (x \ i(y))) * x = x * ((y * i(i(x))) * x). (i(x) \ (y * x)) * x = x * ((y * i(i(x))) * x). ((x * y) * x) * x = x * ((y * i(i(x))) * x). ((x * y) * x) * x = x * ((y * x) * x). y * (((x \ y) / x) * y) = (((x / y) \ y) / x) * y. y * ((x \ y) * (x \ y)) = (((x / y) \ y) / x) * y. (((x / y) \ y) / x) * y = y * ((x \ y) * (x \ y)). (y \ i(x)) \ (y / x) = (x * (y * y)) / x. (x * y) * (y / x) = (x * (y * y)) / x. (x / (x / y)) / ((x * y) / (x * x)) = (x * y) / (x / (x / y)). ((x \ y) * i(y \ (y / x))) * ((y \ (y / x)) / y) = y \ (y / x). ((x \ y) * (i(y / x) * y)) * ((y \ (y / x)) / y) = y \ (y / x). ((x \ y) * ((x * i(y)) * y)) * ((y \ (y / x)) / y) = y \ (y / x). ((x \ y) * (y \ (i(y) \ x))) * ((y \ (y / x)) / y) = y \ (y / x). (x \ (y * x)) * ((y \ (y / x)) / y) = y \ (y / x). (x \ (y * x)) * (i(x) * i(y)) = y \ (y / x). (x * i(i(y) * x)) * ((i(y) * x) / (x \ (y * x))) = i(y) * x. (x * (x \ i(i(y)))) * ((i(y) * x) / (x \ (y * x))) = i(y) * x. (x * (x \ y)) * ((i(y) * x) / (x \ (y * x))) = i(y) * x. y * ((i(y) * x) / (x \ (y * x))) = i(y) * x. y * ((i(y) / y) * x) = i(y) * x. y * ((y \ i(y)) * x) = i(y) * x. x * ((x * x) \ y) = i(x) * y. x * ((x \ 1) * (((1 / x) * y) \ (y * (1 / x)))) = ((1 / x) * y) \ (y * (1 / x)). x * (i(x) * (((1 / x) * y) \ (y * (1 / x)))) = ((1 / x) * y) \ (y * (1 / x)). x * (i(x) * ((i(x) * y) \ (y * (1 / x)))) = ((1 / x) * y) \ (y * (1 / x)). x * (i(x) * ((i(x) * y) \ (y * i(x)))) = ((1 / x) * y) \ (y * (1 / x)). x * (x \ ((y \ x) * (y * i(x)))) = ((1 / x) * y) \ (y * (1 / x)). (y \ x) * (y * i(x)) = ((1 / x) * y) \ (y * (1 / x)). (y \ x) * (y * i(x)) = (i(x) * y) \ (y * (1 / x)). (y \ x) * (y * i(x)) = (i(x) * y) \ (y * i(x)). (i(x) * y) \ (y * i(x)) = (y \ x) * (y * i(x)). (x \ (y \ z)) \ (i(z) * y) = (y \ z) \ (x / (y \ z)). (x \ (y / x)) \ (y \ x) = i(x) \ ((y \ x) * (y \ x)). (x \ (y / x)) \ (y \ x) = x * ((y \ x) * (y \ x)). x * ((y \ x) * (y \ x)) = (x \ (y / x)) \ (y \ x). (((x / y) \ y) / x) * y = (y \ (x / y)) \ (x \ y). (x \ (y / x)) \ (x \ y) = (x \ y) \ ((x \ y) / i(x)). (x \ (y / x)) \ (x \ y) = (x \ y) \ (i(x \ y) \ x). (x \ (y / x)) \ (x \ y) = (x \ y) \ ((i(y) * x) \ x). (x \ (y / x)) \ (x \ y) = (x \ y) \ (x \ (y * x)). (x \ (y / x)) \ (x \ y) = y \ (i(y) \ x). x * ((i(x) \ y) \ ((x / y) / x)) = ((x / y) / x) * ((x / y) / x). x * (y \ (y \ i(x))) = ((x / y) / x) * ((x / y) / x). x * (y \ (y \ i(x))) = (x / y) * (x \ ((x / y) / x)). x * (y \ (y \ i(x))) = (x / y) * (y \ i(x)). (x / y) * (y \ i(x)) = x * (y \ (y \ i(x))). ((x / ((y / i(x)) \ i(x))) / x) * (i(y) * i(x)) = x. ((x / ((i(y) \ x) \ i(x))) / x) * (i(y) * i(x)) = x. ((x / (x \ (i(y) / x))) / x) * (i(y) * i(x)) = x. ((x / (x \ (y \ i(x)))) / x) * (i(y) * i(x)) = x. ((x * (x * (y * x))) / x) * (i(y) * i(x)) = x. (x / ((x / (y * x)) / x)) * (i(y) * i(x)) = x. (x / ((x \ (x / y)) / x)) * (i(y) * i(x)) = x. (x / (i(y) * i(x))) * (i(y) * i(x)) = x. (i(x) \ (x / i(y))) * (i(y) * i(x)) = x. (i(x) \ (i(x) \ y)) * (i(y) * i(x)) = x. (x * (x * y)) * (i(y) * i(x)) = x. (i(x) \ y) * (y * z) = y * ((y \ (x * (y * y))) * z). x * ((x \ (y * (x * x))) * z) = (i(y) \ x) * (x * z). ((i(x) \ y) * z) * y = (x * (y * y)) * (y \ (z * y)). (x * (y * y)) * (y \ (z * y)) = ((i(x) \ y) * z) * y. (x * (((i(x) / y) / i(x)) * ((i(x) / y) / i(x)))) / ((i(x) / y) / i(x)) = y \ i(i(x)). (x * (((x \ i(y)) / i(x)) * ((i(x) / y) / i(x)))) / ((i(x) / y) / i(x)) = y \ i(i(x)). (x * ((i(x \ i(y)) \ x) * ((i(x) / y) / i(x)))) / ((i(x) / y) / i(x)) = y \ i(i(x)). (x * (((i(i(y)) * x) \ x) * ((i(x) / y) / i(x)))) / ((i(x) / y) / i(x)) = y \ i(i(x)). (x * (((y * x) \ x) * ((i(x) / y) / i(x)))) / ((i(x) / y) / i(x)) = y \ i(i(x)). (x * (((y * x) \ x) * ((x \ i(y)) / i(x)))) / ((i(x) / y) / i(x)) = y \ i(i(x)). (x * (((y * x) \ x) * (i(x \ i(y)) \ x))) / ((i(x) / y) / i(x)) = y \ i(i(x)). (x * (((y * x) \ x) * ((i(i(y)) * x) \ x))) / ((i(x) / y) / i(x)) = y \ i(i(x)). (x * (((y * x) \ x) * ((y * x) \ x))) / ((i(x) / y) / i(x)) = y \ i(i(x)). ((x \ ((y * x) / x)) \ ((y * x) \ x)) / ((i(x) / y) / i(x)) = y \ i(i(x)). ((x \ y) \ ((y * x) \ x)) / ((i(x) / y) / i(x)) = y \ i(i(x)). (y \ (y \ x)) / ((i(x) / y) / i(x)) = y \ i(i(x)). (y \ (y \ x)) / ((x \ i(y)) / i(x)) = y \ i(i(x)). (y \ (y \ x)) / (i(x \ i(y)) \ x) = y \ i(i(x)). (y \ (y \ x)) / ((i(i(y)) * x) \ x) = y \ i(i(x)). (y \ (y \ x)) / ((y * x) \ x) = y \ i(i(x)). (x \ (x \ y)) / ((x * y) \ y) = x \ y. ((x \ (y * y)) \ y) / (x \ (y * y)) = (x \ (y * y)) \ i(x \ y). (y \ (y \ (x * y))) / (x \ (y * y)) = (x \ (y * y)) \ i(x \ y). ((y * y) \ x) * (y \ x) = (x \ (y * y)) \ i(x \ y). ((y * y) \ x) * (y \ x) = (x \ (y * y)) \ (i(y) * x). (x \ (y * y)) \ (i(y) * x) = ((y * y) \ x) * (y \ x). ((x / (x * y)) \ i(x)) / (x / (x * y)) = (x / (x * y)) \ i(x / y). ((x * y) / (x * x)) / (x / (x * y)) = (x / (x * y)) \ i(x / y). (x / (x / y)) / (x / y) = (x / (x * y)) \ i(x / y). (x / (x / y)) / (x / y) = (x / (x * y)) \ (y * i(x)). (x / (x * y)) \ (y * i(x)) = (x / (x / y)) / (x / y). (x \ (i(x) * y)) / x = x \ i((y / x) \ x). ((x * x) \ y) / x = x \ i((y / x) \ x). ((x * x) \ y) / x = x \ (i(x) * (y / x)). ((x * x) \ y) / x = x \ ((x \ y) / x). (((x \ y) \ y) / y) * (i(x) \ y) = ((x \ y) \ y) * ((x \ y) \ y). (y \ (y / (x \ y))) * (i(x) \ y) = ((x \ y) \ y) * ((x \ y) \ y). (y \ x) * (i(x) \ y) = ((x \ y) \ y) * ((x \ y) \ y). ((x \ y) \ y) * ((x \ y) \ y) = (y \ x) * (i(x) \ y). (((x \ y) / x) * (z * (x / y))) / i(x) = (((x \ y) / x) * z) / ((x \ y) / x). i(((x \ y) / x) * (z * (x / y))) \ x = (((x \ y) / x) * z) / ((x \ y) / x). ((z * (x / y)) \ i((x \ y) / x)) \ x = (((x \ y) / x) * z) / ((x \ y) / x). ((z * (x / y)) \ (x * i(x \ y))) \ x = (((x \ y) / x) * z) / ((x \ y) / x). ((z * (x / y)) \ (x * (i(y) * x))) \ x = (((x \ y) / x) * z) / ((x \ y) / x). ((z * (x / y)) \ ((y / x) \ x)) \ x = (((x \ y) / x) * z) / ((x \ y) / x). (((x \ y) / x) * z) / ((x \ y) / x) = ((z * (x / y)) \ ((y / x) \ x)) \ x. ((x * (x * ((y * z) \ (z * y)))) \ ((y * z) \ (z * y))) * (((y * z) \ (z * y)) \ (x * x)) = i((y * z) \ (z * y)). ((x * (x * ((y * z) \ (z * y)))) \ ((y * z) \ (z * y))) * (((y * z) \ (z * y)) \ (x * x)) = i(z * y) * (y * z). ((x * (x * ((y * z) \ (z * y)))) \ ((y * z) \ (z * y))) * (((y * z) \ (z * y)) \ (x * x)) = (y \ i(z)) * (y * z). ((x * (x * ((y * z) \ (z * y)))) \ ((y * z) \ (z * y))) * (((y * z) \ (z * y)) \ (x * x)) = (z * y) \ (y * z). (i(x \ y) * ((y * x) \ x)) * (x \ y) = (x \ y) \ i(x). ((i(y) * x) * ((y * x) \ x)) * (x \ y) = (x \ y) \ i(x). ((i(y) * i(y)) * x) * (x \ y) = (x \ y) \ i(x). ((y \ i(y)) * x) * (x \ y) = (x \ y) \ i(x). ((y * y) \ x) * (x \ y) = (x \ y) \ i(x). ((x * x) \ y) * (y \ x) = i(x). i(x) * ((x \ y) \ y) = (((y * x) \ x) * x) * (x \ y). i(x) * ((x \ y) \ y) = ((y * x) \ (x * x)) * (x \ y). i(x) * ((x \ y) \ y) = (x \ ((y \ x) * x)) * (x \ y). i(x) * ((x \ y) \ y) = (x \ (y \ (x * x))) * (x \ y). (x \ (y \ (x * x))) * (x \ y) = i(x) * ((x \ y) \ y). ((x * (x * y)) \ (x * y)) * (x \ (x / y)) = i(x * y). (y \ (x \ y)) * (x \ (x / y)) = i(x * y). (x \ (y \ x)) * (y \ (y / x)) = x \ i(y). ((((x / y) \ y) * (y / x)) \ (y / x)) * y = i(y / x). (((y \ (x / y)) \ (y / x)) \ (y / x)) * y = i(y / x). (x / (y * y)) * y = i(y / x). (x / (y * y)) * y = x * i(y). ((x * y) \ y) \ (i(y) / ((x * y) \ y)) = (y \ x) * i((x * y) \ y). ((x * y) \ y) \ (y \ i((x * y) \ y)) = (y \ x) * i((x * y) \ y). ((x * y) \ y) \ (y \ (i(y) * (x * y))) = (y \ x) * i((x * y) \ y). ((x * y) \ y) \ (y \ ((x \ y) \ y)) = (y \ x) * i((x * y) \ y). ((x * y) \ y) \ (y \ ((x \ y) \ y)) = (y \ x) * (i(y) * (x * y)). ((x * y) \ y) \ (y \ ((x \ y) \ y)) = (y \ x) * ((x \ y) \ y). (x \ (x / y)) \ (x / ((y * x) * (y * x))) = i(y * x). (x \ (x / y)) \ (x / (y * (x * (y * x)))) = i(y * x). (x \ (x / y)) \ (x / (y * (x * (y * x)))) = x \ i(y). ((x / y) * i(x / (y * y))) * (x / y) = (x / y) / i(y). ((x / y) * ((y * y) * i(x))) * (x / y) = (x / y) / i(y). ((x / y) * (y / (x / y))) * (x / y) = (x / y) / i(y). ((x / y) / ((x / y) / y)) * (x / y) = (x / y) / i(y). ((x * y) / x) * (x / y) = (x / y) / i(y). x * (y * (x \ (x / y))) = (x / y) / i(y). x * (y * (x \ (x / y))) = i(x / y) \ y. x * (y * (x \ (x / y))) = (y * i(x)) \ y. x * (y * (x \ (x / y))) = y \ (y / i(x)). x * (y * (x \ (x / y))) = y \ (i(y) \ x). ((x / (y * y)) \ i(y)) / (x / (y * y)) = (x / (y * y)) \ i(x / y). (y / ((y * x) / y)) / (x / (y * y)) = (x / (y * y)) \ i(x / y). (x / ((x * y) / x)) / (y / (x * x)) = (y / (x * x)) \ (x * i(y)). (x \ i(y)) \ (z * z) = (y * x) * (z * z). (x * i(y)) \ (z * z) = (y / x) * (z * z). (i(x) * y) \ (z * z) = (y \ x) * (z * z). i((x / (y * y)) * z) \ (y * y) = x * ((y * y) \ (z * (y * y))). (z \ i(x / (y * y))) \ (y * y) = x * ((y * y) \ (z * (y * y))). (z \ ((y * y) * i(x))) \ (y * y) = x * ((y * y) \ (z * (y * y))). (z \ (y / (x / y))) \ (y * y) = x * ((y * y) \ (z * (y * y))). x * ((y * y) \ (z * (y * y))) = (z \ (y / (x / y))) \ (y * y). (x * (y * y)) * i(x) = ((y * y) \ i(x)) \ i(x). x / (x / (y * y)) = ((y * y) \ i(x)) \ i(x). x / (x / (y * y)) = (x * (y * y)) / x. (x * (y * y)) / x = x / (x / (y * y)). x / (x * (y * y)) = (x / (y * y)) / x. (x / (y * y)) / x = x / (x * (y * y)). (x * y) * (x * x) = x * (y * (x * x)). (x * y) * (y / x) = x / (x / (y * y)). x \ i(x * y) = y / ((x * y) * (x * y)). x \ (y \ i(x)) = y / ((x * y) * (x * y)). x \ (y \ i(x)) = y / (x * (y * (x * y))). x / (y * (x * (y * x))) = y \ (x \ i(y)). ((x \ y) / z) \ (i(y) * x) = z / ((x \ y) * (x \ y)). x \ i(x / (x / y)) = (y / x) / ((x / (x / y)) * (x / (x / y))). x \ ((x / y) * i(x)) = (y / x) / ((x / (x / y)) * (x / (x / y))). x \ (x / (x * y)) = (y / x) / ((x / (x / y)) * (x / (x / y))). i(y) * i(x) = (y / x) / ((x / (x / y)) * (x / (x / y))). i(y) * i(x) = (y / x) / (x * ((x / y) \ (x / (x / y)))). i(y) * i(x) = (y / x) / (x * (i(y) \ (y / x))). (x / y) / (y * (i(x) \ (x / y))) = i(x) * i(y). (x \ (x / y)) \ i(y \ x) = x / ((y \ x) * (y \ x)). (x \ (x / y)) \ (i(x) * y) = x / ((y \ x) * (y \ x)). (x / y) \ y = x / ((y \ x) * (y \ x)). x / ((y \ x) * (y \ x)) = (x / y) \ y. i(x) \ i((y \ x) \ x) = (y * x) / (((y \ x) \ x) * ((y \ x) \ x)). i(x) \ (i(x) * (y \ x)) = (y * x) / (((y \ x) \ x) * ((y \ x) \ x)). i(x) \ ((y * x) \ x) = (y * x) / (((y \ x) \ x) * ((y \ x) \ x)). ((y * x) / x) \ x = (y * x) / (((y \ x) \ x) * ((y \ x) \ x)). y \ x = (y * x) / (((y \ x) \ x) * ((y \ x) \ x)). y \ x = (y * x) / ((x \ y) * (i(y) \ x)). (x * y) / ((y \ x) * (i(x) \ y)) = x \ y. (x \ (x / y)) \ (y \ (x \ i(y))) = x \ i(y). x / ((x \ y) * (x \ y)) = (y / x) \ ((y / x) \ x). (x / (y * y)) * (i(y) \ (z * i(y))) = ((x / y) * z) * i(y). (x / (y * y)) * (y / (y / z)) = ((x / y) * z) * i(y). (x / (y \ z)) * (i(z) * y) = x / ((y \ z) * (y \ z)). (x \ (x / y)) * i(y * x) = x / ((y * x) * (y * x)). (x \ (x / y)) * (x \ i(y)) = x / ((y * x) * (y * x)). (x * y) \ (x \ (x / y)) = x / ((y * x) * (y * x)). (x * y) \ (x \ (x / y)) = x / (y * (x * (y * x))). (x * y) \ (x \ (x / y)) = y \ (x \ i(y)). x \ (y / (x * x)) = (x \ (y / x)) / x. (x \ (y / x)) / x = x \ (y / (x * x)). x / ((x \ y) * (x \ y)) = (x \ (y / x)) \ (y \ x). (y / x) \ ((y / x) \ x) = (x \ (y / x)) \ (y \ x). (x \ (y / x)) \ (y \ x) = (y / x) \ ((y / x) \ x). (i(x) * i(y)) * (y \ (y / x)) = x \ (y \ i(x)). (((x / y) \ y) / x) * y = (x / y) \ ((x / y) \ y). i(x \ i(y)) = i(y) * ((y * y) * x). i(i(y)) * x = i(y) * ((y * y) * x). y * x = i(y) * ((y * y) * x). i(x) * ((x * x) * y) = x * y. ((x * x) / (y / (x * x))) \ x = ((x * x) / y) \ i(x). (x / ((y / (x * x)) / x)) \ x = ((x * x) / y) \ i(x). (y / (x * x)) / x = ((x * x) / y) \ i(x). (y / (x * x)) / x = (x / (y / x)) \ i(x). (x / (y * y)) / y = (x / y) / (y * y). (x \ (y / x)) / ((x \ (y / x)) \ i(x)) = i(y \ x) * (x \ (y / x)). (x \ (y / x)) / i(y / x) = i(y \ x) * (x \ (y / x)). (x \ (y / x)) / (x * i(y)) = i(y \ x) * (x \ (y / x)). i(x \ (y / x)) \ (y / x) = i(y \ x) * (x \ (y / x)). (i(y / x) * x) \ (y / x) = i(y \ x) * (x \ (y / x)). ((x * i(y)) * x) \ (y / x) = i(y \ x) * (x \ (y / x)). (x / (x \ y)) \ (y / x) = i(y \ x) * (x \ (y / x)). (x / (x \ y)) \ (y / x) = (i(x) * y) * (x \ (y / x)). (i(x) * y) * (x \ (y / x)) = (x / (x \ y)) \ (y / x). (x * (y * y)) / ((x * (y * y)) \ y) = i(i(x) \ y) \ (x * (y * y)). (x * (y * y)) / (y \ ((x * y) \ y)) = i(i(x) \ y) \ (x * (y * y)). (x * (y * y)) / (y \ ((x * y) \ y)) = (i(y) * i(x)) \ (x * (y * y)). ((i(x) \ y) * (i(x) \ y)) * y = i(i(x) \ y) \ (x * (y * y)). (x * (y * (x * y))) * y = i(i(x) \ y) \ (x * (y * y)). (x * (y * (x * y))) * y = (i(y) * i(x)) \ (x * (y * y)). (i(x) * i(y)) \ (y * (x * x)) = (y * (x * (y * x))) * x. (x * (y * y)) / (y \ ((x * y) \ y)) = (x * (y * (x * y))) * y. x * ((x \ 1) * ((y * (1 / x)) \ ((1 / x) * y))) = (y * (1 / x)) \ ((1 / x) * y). x * (i(x) * ((y * (1 / x)) \ ((1 / x) * y))) = (y * (1 / x)) \ ((1 / x) * y). x * (i(x) * ((y * i(x)) \ ((1 / x) * y))) = (y * (1 / x)) \ ((1 / x) * y). x * (i(x) * ((y * i(x)) \ (i(x) * y))) = (y * (1 / x)) \ ((1 / x) * y). x * (y \ (i(x) * y)) = (y * (1 / x)) \ ((1 / x) * y). x * ((x * y) \ y) = (y * (1 / x)) \ ((1 / x) * y). x * ((x * y) \ y) = (y * i(x)) \ ((1 / x) * y). x * ((x * y) \ y) = (y * i(x)) \ (i(x) * y). (x * i(y)) \ (i(y) * x) = y * ((y * x) \ x). x * (i(x) * ((y * (1 / x)) \ ((1 / x) * y))) = 1 * ((y * (1 / x)) \ ((1 / x) * y)). x * (i(x) * ((y * i(x)) \ ((1 / x) * y))) = 1 * ((y * (1 / x)) \ ((1 / x) * y)). x * (i(x) * ((y * i(x)) \ (i(x) * y))) = 1 * ((y * (1 / x)) \ ((1 / x) * y)). x * (i(x) * (x * ((x * y) \ y))) = 1 * ((y * (1 / x)) \ ((1 / x) * y)). x * (x \ (i(x) \ ((x * y) \ y))) = 1 * ((y * (1 / x)) \ ((1 / x) * y)). i(x) \ ((x * y) \ y) = 1 * ((y * (1 / x)) \ ((1 / x) * y)). i(x) \ ((x * y) \ y) = 1 * ((y * i(x)) \ ((1 / x) * y)). i(x) \ ((x * y) \ y) = 1 * ((y * i(x)) \ (i(x) * y)). i(x) \ ((x * y) \ y) = 1 * (x * ((x * y) \ y)). i(x) \ ((x * y) \ y) = x * ((x * y) \ y). (x / y) * ((y / (y * x)) * ((z * (i(y) / (x / y))) \ ((i(y) / (x / y)) * z))) = i(y) * ((z * (i(y) / (x / y))) \ ((i(y) / (x / y)) * z)). (x / y) * ((y / (y * x)) * ((z * (y \ i(x / y))) \ ((i(y) / (x / y)) * z))) = i(y) * ((z * (i(y) / (x / y))) \ ((i(y) / (x / y)) * z)). (x / y) * ((y / (y * x)) * ((z * (y \ (y * i(x)))) \ ((i(y) / (x / y)) * z))) = i(y) * ((z * (i(y) / (x / y))) \ ((i(y) / (x / y)) * z)). (x / y) * ((y / (y * x)) * ((z * i(x)) \ ((i(y) / (x / y)) * z))) = i(y) * ((z * (i(y) / (x / y))) \ ((i(y) / (x / y)) * z)). (x / y) * ((y / (y * x)) * ((z * i(x)) \ ((y \ i(x / y)) * z))) = i(y) * ((z * (i(y) / (x / y))) \ ((i(y) / (x / y)) * z)). (x / y) * ((y / (y * x)) * ((z * i(x)) \ ((y \ (y * i(x))) * z))) = i(y) * ((z * (i(y) / (x / y))) \ ((i(y) / (x / y)) * z)). (x / y) * ((y / (y * x)) * ((z * i(x)) \ (i(x) * z))) = i(y) * ((z * (i(y) / (x / y))) \ ((i(y) / (x / y)) * z)). (x / y) * ((y / (y * x)) * (x * ((x * z) \ z))) = i(y) * ((z * (i(y) / (x / y))) \ ((i(y) / (x / y)) * z)). i(x) * ((x / y) * (x * ((x * z) \ z))) = i(y) * ((z * (i(y) / (x / y))) \ ((i(y) / (x / y)) * z)). i(x) * ((x / y) * (x * ((x * z) \ z))) = i(y) * ((z * (y \ i(x / y))) \ ((i(y) / (x / y)) * z)). i(x) * ((x / y) * (x * ((x * z) \ z))) = i(y) * ((z * (y \ (y * i(x)))) \ ((i(y) / (x / y)) * z)). i(x) * ((x / y) * (x * ((x * z) \ z))) = i(y) * ((z * i(x)) \ ((i(y) / (x / y)) * z)). i(x) * ((x / y) * (x * ((x * z) \ z))) = i(y) * ((z * i(x)) \ ((y \ i(x / y)) * z)). i(x) * ((x / y) * (x * ((x * z) \ z))) = i(y) * ((z * i(x)) \ ((y \ (y * i(x))) * z)). i(x) * ((x / y) * (x * ((x * z) \ z))) = i(y) * ((z * i(x)) \ (i(x) * z)). i(x) * ((x / y) * (x * ((x * z) \ z))) = i(y) * (x * ((x * z) \ z)). i(x) * (y * ((y * z) \ z)) = x \ ((y / z) * (i(y) * z)). i(x) * ((i(x) \ y) * (z * ((z * x) \ x))) = y * (i(z) \ ((z * x) \ x)). i(x) * ((i(x) \ y) * (z * ((z * x) \ x))) = y * (z * ((z * x) \ x)). i(x) * ((x / y) * (x * ((x * z) \ z))) = y \ ((x / z) * (i(x) * z)). (x * (y \ (z * y))) / (y * y) = ((x / y) * z) * i(y). (x * i(y)) * (x * y) = ((y * y) / (x * y)) \ (x * y). x * ((y \ x) * y) = ((y * y) / (x * y)) \ (x * y). x * ((x \ y) \ y) = ((y * y) / (x * y)) \ (x * y). x * ((x \ y) \ y) = (y / ((x * y) / y)) \ (x * y). x * ((x \ y) \ y) = (y / x) \ (x * y). ((x * x) / (y * x)) \ ((y * i(x)) \ (x * x)) = x * x. (x / ((y * x) / x)) \ ((y * i(x)) \ (x * x)) = x * x. (x / y) \ ((y * i(x)) \ (x * x)) = x * x. (x / y) \ ((x / y) * (x * x)) = x * x. (x / y) \ (((x \ y) / x) \ x) = x * x. (x * x) / ((y \ x) * (y \ x)) = (x * y) * i(y \ x). x / (((y \ x) * (y \ x)) / x) = (x * y) * i(y \ x). x / ((y \ x) / (x / (y \ x))) = (x * y) * i(y \ x). x / ((y \ x) / y) = (x * y) * i(y \ x). x / ((y \ x) / y) = (x * y) * (i(x) * y). x / ((y \ x) / y) = (x * (y / x)) * y. x / ((y \ x) / y) = (x / (x / y)) * y. x / ((y \ x) / y) = (x * y) / (y \ x). (x * y) / (y \ x) = x / ((y \ x) / y). (x * i(y)) \ i(x * y) = (y * y) / ((x * y) * (x * y)). (x * i(y)) \ (y \ i(x)) = (y * y) / ((x * y) * (x * y)). (x * i(y)) \ (y \ i(x)) = (y * y) / (x * (y * (x * y))). (x * i(y)) \ (y \ i(x)) = y / ((x * (y * (x * y))) / y). (x * i(y)) \ (y \ i(x)) = y / ((x * y) * x). (x / ((y \ x) / y)) * i(x) = (x / (x / y)) / (x / y). x / (x * ((y \ x) / y)) = (x / (x / y)) / (x / y). (x / (x / y)) / (x / y) = x / (x * ((y \ x) / y)). (x / ((x * y) / x)) \ (x * y) = x / ((y \ x) / y). (x / (x / y)) * y = x / ((y \ x) / y). (x / (x * y)) \ (y * i(x)) = x / (x * ((y \ x) / y)). (x / (x / y)) * (y / x) = x / (x * ((y \ x) / y)). (x * i(x \ y)) \ y = (x \ y) * (x \ y). (x * (i(y) * x)) \ y = (x \ y) * (x \ y). ((y / x) \ x) \ y = (x \ y) * (x \ y). (x \ y) * (x \ y) = ((y / x) \ x) \ y. ((x / y) * i(x)) \ ((y / x) \ x) = x * x. (x / (x * y)) \ ((y / x) \ x) = x * x. ((x * y) * i(x \ (x / y))) \ x = (x \ (x / y)) * (x \ (x / y)). ((x * y) * (i(x / y) * x)) \ x = (x \ (x / y)) * (x \ (x / y)). ((x * y) * ((y * i(x)) * x)) \ x = (x \ (x / y)) * (x \ (x / y)). ((x * y) * (x \ (i(x) \ y))) \ x = (x \ (x / y)) * (x \ (x / y)). (x * (y * y)) \ x = (x \ (x / y)) * (x \ (x / y)). x \ (x / (y * y)) = (x \ (x / y)) * (x \ (x / y)). y \ i(y) = (x \ (x / y)) * (x \ (x / y)). y \ i(y) = (((x / y) / x) \ x) \ (x / y). y \ i(y) = (i(x) \ y) \ (x / y). (i(x) \ y) \ (x / y) = y \ i(y). (i(x) * i(y * x)) \ ((y \ x) \ x) = (y * x) * (y * x). (i(x) * (x \ i(y))) \ ((y \ x) \ x) = (y * x) * (y * x). ((x * x) \ i(y)) \ ((y \ x) \ x) = (y * x) * (y * x). ((x * x) \ i(y)) \ ((y \ x) \ x) = y * (x * (y * x)). (x * i(i(y) * x)) \ ((y / x) \ x) = (i(y) * x) * (i(y) * x). (x * (x \ i(i(y)))) \ ((y / x) \ x) = (i(y) * x) * (i(y) * x). (x * (x \ y)) \ ((y / x) \ x) = (i(y) * x) * (i(y) * x). y \ ((y / x) \ x) = (i(y) * x) * (i(y) * x). y \ ((y / x) \ x) = i(y) * (x * (i(y) * x)). y \ ((y / x) \ x) = i(y) * ((y / x) \ x). y \ ((y / x) \ x) = (y \ x) * (y \ x). y \ ((y / x) \ x) = ((x / y) \ y) \ x. ((x / y) \ y) \ x = y \ ((y / x) \ x). ((x / y) * i(y / (y * x))) \ i(y) = (y / (y * x)) * (y / (y * x)). ((x / y) * ((y * x) * i(y))) \ i(y) = (y / (y * x)) * (y / (y * x)). ((x / y) * (y / (y / x))) \ i(y) = (y / (y * x)) * (y / (y * x)). (y * ((y \ x) * (x / y))) \ i(y) = (y / (y * x)) * (y / (y * x)). (i(x) \ (x / y)) \ i(y) = (y / (y * x)) * (y / (y * x)). (i(x) \ (x / y)) \ i(y) = y * ((y * x) \ (y / (y * x))). (i(x) \ (x / y)) \ i(y) = y * (x \ (x \ i(y))). ((x * i(y)) * (x * i(y))) * (y * y) = i(x * i(y)) \ (x * y). (x * (i(y) * (x * i(y)))) * (y * y) = i(x * i(y)) \ (x * y). (x * (y \ (x / y))) * (y * y) = i(x * i(y)) \ (x * y). (x * (y \ (x / y))) * (y * y) = (i(y) \ i(x)) \ (x * y). (x * (y \ (x / y))) * (y * y) = (y / x) \ (x * y). ((i(x) \ y) * i(y \ (x \ y))) \ y = (y \ (x \ y)) * (y \ (x \ y)). ((i(x) \ y) * (i(x \ y) * y)) \ y = (y \ (x \ y)) * (y \ (x \ y)). ((i(x) \ y) * ((i(y) * x) * y)) \ y = (y \ (x \ y)) * (y \ (x \ y)). ((i(x) \ y) * (y \ (x * y))) \ y = (y \ (x \ y)) * (y \ (x \ y)). (x * (x * y)) \ y = (y \ (x \ y)) * (y \ (x \ y)). (x * (x * y)) \ y = (((x \ y) / y) \ y) \ (x \ y). (x * (x * y)) \ y = ((y \ (y / x)) \ y) \ (x \ y). (x * (x * y)) \ y = ((y / x) \ (y * y)) \ (x \ y). (x * (x * y)) \ y = (x * y) \ (x \ y). x / (((x / y) \ y) \ x) = (x / y) \ y. x / (y \ ((y / x) \ x)) = (x / y) \ y. ((y / (x \ y)) \ (x \ y)) \ y = (y \ x) * (i(x) \ y). (x \ (x \ y)) \ y = (y \ x) * (i(x) \ y). (x \ y) * (i(y) \ x) = (y \ (y \ x)) \ x. (((y / x) \ x) \ y) * x = (y \ x) \ (x \ (y * x)). (x \ ((x / y) \ y)) * x = (y \ x) \ (x \ (y * x)). (((x / y) \ y) \ x) \ x = (y \ x) \ (x \ (y * x)). (x \ ((x / y) \ y)) \ y = (x \ y) \ (y \ (x * y)). (x \ y) \ (i(y) * x) = ((x / y) \ y) \ x. (x \ y) \ (i(y) * x) = y \ ((y / x) \ x). ((x \ y) / x) * y = ((y / x) \ x) \ y. ((x \ y) / x) * y = x \ ((x / y) \ y). i(x) * ((x / y) \ y) = ((y / x) \ x) \ y. i(x) * ((x / y) \ y) = x \ ((x / y) \ y). (i(x) * y) \ (y \ x) = ((x / y) \ y) \ x. (i(x) * y) \ (y \ x) = y \ ((y / x) \ x). (x \ y) * (x \ y) = x \ ((x / y) \ y). ((x * ((y * z) \ (z * y))) \ (x \ ((y * z) \ (z * y)))) * (((y * z) \ (z * y)) \ (x * x)) = (z * y) \ (y * z). (x * y) / ((x \ (x \ y)) \ y) = x \ y. (x * i(y)) * (z * z) = (y / x) \ (z * z). (x \ (y * y)) * x = x \ ((y * y) * x). ((x * x) \ y) \ y = y \ ((x * x) * y). ((x * x) / i(y)) \ i(i(y)) = i(y) / (y \ (x * x)). (i(x * x) \ y) \ i(i(y)) = i(y) / (y \ (x * x)). ((x \ i(x)) \ y) \ i(i(y)) = i(y) / (y \ (x * x)). ((x * x) * y) \ i(i(y)) = i(y) / (y \ (x * x)). ((x * x) * y) \ y = i(y) / (y \ (x * x)). ((x * x) * y) \ y = y \ i(y \ (x * x)). ((x * x) * y) \ y = y \ (i(x * x) * y). ((x * x) * y) \ y = y \ ((x \ i(x)) * y). ((x * x) * y) \ y = y \ ((x * x) \ y). (x * y) \ ((x * x) * (x * y)) = (y \ x) * (x * y). (x * y) \ (x * ((x * x) * y)) = (y \ x) * (x * y). y \ ((x * x) * y) = (y \ x) * (x * y). (x \ y) * (y * x) = x \ ((y * y) * x). x \ (x * (x * ((y * z) \ (z * y)))) = i(x) \ ((y * z) \ (z * y)). x * ((y * z) \ (z * y)) = i(x) \ ((y * z) \ (z * y)). i(x) \ ((y * z) \ (z * y)) = x * ((y * z) \ (z * y)). ((x / y) * (z * (y / (x * x)))) / i(x) = ((x / y) * z) / (x / y). i((x / y) * (z * (y / (x * x)))) \ x = ((x / y) * z) / (x / y). ((z * (y / (x * x))) \ i(x / y)) \ x = ((x / y) * z) / (x / y). ((x * (y / (z * z))) \ (y * i(z))) \ z = ((z / y) * x) / (z / y). ((x / (y * y)) \ i(y)) / (x / (y * y)) = i(x / (y * y)) * (y / x). (y / ((y * x) / y)) / (x / (y * y)) = i(x / (y * y)) * (y / x). (x / (y * y)) \ (y * i(x)) = i(x / (y * y)) * (y / x). (x / (y * y)) \ (y * i(x)) = ((y * y) * i(x)) * (y / x). (x / (y * y)) \ (y * i(x)) = (y / (x / y)) * (y / x). (x / (y * y)) \ (y * i(x)) = (y / (x / y)) / (x / y). (x / ((x * y) / x)) / (y / (x * x)) = (x / (y / x)) / (y / x). (x \ i(y)) * ((y * y) * z) = (y * y) * (((y * y) \ (x \ y)) * z). (x \ i(y)) * ((y * y) * z) = (y * y) * ((y \ ((x * y) \ y)) * z). (x * x) * ((x \ ((y * x) \ x)) * z) = (y \ i(x)) * ((x * x) * z). (x \ i(y)) * (x \ y) = ((y * y) / (x \ y)) \ (x \ y). (x \ i(y)) * (x \ y) = (y / ((x \ y) / y)) \ (x \ y). (x \ i(y)) * (x \ y) = (y / (y \ (y / x))) \ (x \ y). (x \ i(y)) * (x \ y) = (y * x) \ (x \ y). ((x * x) / (y \ x)) \ ((y \ i(x)) \ (x * x)) = x * x. (x / ((y \ x) / x)) \ ((y \ i(x)) \ (x * x)) = x * x. (x / (x \ (x / y))) \ ((y \ i(x)) \ (x * x)) = x * x. (x * y) \ ((y \ i(x)) \ (x * x)) = x * x. (x * y) \ ((x * y) * (x * x)) = x * x. (x * y) \ (x * (y * (x * x))) = x * x. x / ((x \ (y * x)) * (x \ (y * x))) = (i(x) * y) \ i(x \ (y * x)). x / (x \ ((x / (y * x)) \ (y * x))) = (i(x) * y) \ i(x \ (y * x)). x / (x \ ((x \ (x / y)) \ (y * x))) = (i(x) * y) \ i(x \ (y * x)). x / (x \ (y * (y * x))) = (i(x) * y) \ i(x \ (y * x)). x / (x \ (y * (y * x))) = (i(x) * y) \ (i(y * x) * x). x / (x \ (y * (y * x))) = (i(x) * y) \ ((x \ i(y)) * x). x / (x \ (y * (y * x))) = (i(x) * y) \ ((i(y) \ x) \ x). x / (x \ (y * (y * x))) = (i(x) * y) \ (x \ (y \ x)). x / (x \ (y * (y * x))) = (x / (y \ x)) \ (y \ x). x / (x \ (y * (y * x))) = y \ (y \ x). x / ((x \ (y \ x)) * (x \ (y \ x))) = (x \ i(y)) \ i(x \ (y \ x)). x / (x \ ((x / (y \ x)) \ (y \ x))) = (x \ i(y)) \ i(x \ (y \ x)). x / (x \ (y \ (y \ x))) = (x \ i(y)) \ i(x \ (y \ x)). x / (x \ (y \ (y \ x))) = (x \ i(y)) \ (i(y \ x) * x). x / (x \ (y \ (y \ x))) = (x \ i(y)) \ ((i(x) * y) * x). x / (x \ (y \ (y \ x))) = (x \ i(y)) \ (x \ (y * x)). x / (x \ (y \ (y \ x))) = (x / (y * x)) \ (y * x). x / (x \ (y \ (y \ x))) = (x \ (x / y)) \ (y * x). x / (x \ (y \ (y \ x))) = y * (y * x). (x * x) \ i(y \ i(x)) = i(y \ x). (x * x) \ (i(i(x)) * y) = i(y \ x). (x * x) \ (x * y) = i(y \ x). (x * x) \ (x * y) = i(x) * y. (x / y) \ (i(x) \ y) = y * y. ((i(x) * y) \ i(x \ (y * x))) \ x = (x \ (y * x)) * (x \ (y * x)). ((i(x) * y) \ (i(y * x) * x)) \ x = (x \ (y * x)) * (x \ (y * x)). ((i(x) * y) \ ((x \ i(y)) * x)) \ x = (x \ (y * x)) * (x \ (y * x)). ((i(x) * y) \ ((i(y) \ x) \ x)) \ x = (x \ (y * x)) * (x \ (y * x)). ((i(x) * y) \ (x \ (y \ x))) \ x = (x \ (y * x)) * (x \ (y * x)). ((x / (y \ x)) \ (y \ x)) \ x = (x \ (y * x)) * (x \ (y * x)). (y \ (y \ x)) \ x = (x \ (y * x)) * (x \ (y * x)). (y \ (y \ x)) \ x = x \ ((x / (y * x)) \ (y * x)). (y \ (y \ x)) \ x = x \ ((x \ (x / y)) \ (y * x)). (x \ (x \ y)) \ y = y \ (x * (x * y)). ((x * y) \ i(x / (x / y))) \ i(x) = (x / (x / y)) * (x / (x / y)). ((x * y) \ ((x / y) * i(x))) \ i(x) = (x / (x / y)) * (x / (x / y)). ((x * y) \ (x / (x * y))) \ i(x) = (x / (x / y)) * (x / (x / y)). (y \ (y \ i(x))) \ i(x) = (x / (x / y)) * (x / (x / y)). i(x) \ (y * (y * i(x))) = (x / (x / y)) * (x / (x / y)). i(x) \ (i(y) \ (y / x)) = (x / (x / y)) * (x / (x / y)). i(x) \ (i(y) \ (y / x)) = x * ((x / y) \ (x / (x / y))). i(x) \ (i(y) \ (y / x)) = x * (i(y) \ (y / x)). (x \ i(i(y) \ x)) \ ((y \ x) \ x) = (i(y) \ x) * (i(y) \ x). (x \ (i(x) * i(y))) \ ((y \ x) \ x) = (i(y) \ x) * (i(y) \ x). ((x * x) \ i(y)) \ ((y \ x) \ x) = (i(y) \ x) * (i(y) \ x). y * (x * (y * x)) = (i(y) \ x) * (i(y) \ x). y * (x * (y * x)) = i(y) \ ((i(y) / x) \ x). y * (x * (y * x)) = i(y) \ ((y \ i(x)) \ x). y * (x * (y * x)) = i(y) \ (x * (y * x)). i(x) \ (y * (x * y)) = x * (y * (x * y)). (x \ i((x / y) / x)) \ (y \ i(x)) = ((x / y) / x) * ((x / y) / x). (x \ (x * i(x / y))) \ (y \ i(x)) = ((x / y) / x) * ((x / y) / x). (x \ (x * (y * i(x)))) \ (y \ i(x)) = ((x / y) / x) * ((x / y) / x). (x \ ((x * y) / x)) \ (y \ i(x)) = ((x / y) / x) * ((x / y) / x). (y * i(x)) \ (y \ i(x)) = ((x / y) / x) * ((x / y) / x). (y * i(x)) \ (y \ i(x)) = (x / y) * (x \ ((x / y) / x)). (y * i(x)) \ (y \ i(x)) = (x / y) * (y \ i(x)). (x * i(y)) \ (x \ i(y)) = y * (x \ (x \ i(y))). ((x \ y) * i(x \ i(y))) \ (x \ i(y)) = (x \ i(y)) / (y * y). ((x \ y) * (i(i(y)) * x)) \ (x \ i(y)) = (x \ i(y)) / (y * y). ((x \ y) * (y * x)) \ (x \ i(y)) = (x \ i(y)) / (y * y). (x \ ((y * y) * x)) \ (x \ i(y)) = (x \ i(y)) / (y * y). x \ ((((y * y) * x) / x) \ i(y)) = (x \ i(y)) / (y * y). x \ ((y * y) \ i(y)) = (x \ i(y)) / (y * y). x \ (y \ (y \ i(y))) = (x \ i(y)) / (y * y). x \ (y \ (y \ i(y))) = (y * x) \ i(y * y). x \ (y \ (y \ i(y))) = (y * x) \ (y \ i(y)). (x * y) \ (x \ i(x)) = y \ (x \ (x \ i(x))). i(x \ i(y)) * ((x \ y) / (x \ i(y))) = (y * y) / (x \ i(y)). (i(i(y)) * x) * ((x \ y) / (x \ i(y))) = (y * y) / (x \ i(y)). (y * x) * ((x \ y) / (x \ i(y))) = (y * y) / (x \ i(y)). (y * x) * (i(x \ y) \ (y * x)) = (y * y) / (x \ i(y)). (y * x) * ((i(y) * x) \ (y * x)) = (y * y) / (x \ i(y)). (y * x) * (x \ ((i(y) \ y) * x)) = (y * y) / (x \ i(y)). (y * x) * (x \ ((y * y) * x)) = (y * y) / (x \ i(y)). (y * (y * y)) * x = (y * y) / (x \ i(y)). (y * (y * y)) * x = i(y * y) \ (y * x). (y * (y * y)) * x = (y \ i(y)) \ (y * x). (y * (y * y)) * x = (y * y) * (y * x). (x * (x * x)) * y = x * ((x * x) * y). ((x \ i(y)) \ i(x \ (y \ x))) \ x = (x \ (y \ x)) * (x \ (y \ x)). ((x \ i(y)) \ (i(y \ x) * x)) \ x = (x \ (y \ x)) * (x \ (y \ x)). ((x \ i(y)) \ ((i(x) * y) * x)) \ x = (x \ (y \ x)) * (x \ (y \ x)). ((x \ i(y)) \ (x \ (y * x))) \ x = (x \ (y \ x)) * (x \ (y \ x)). ((x / (y * x)) \ (y * x)) \ x = (x \ (y \ x)) * (x \ (y \ x)). ((x \ (x / y)) \ (y * x)) \ x = (x \ (y \ x)) * (x \ (y \ x)). (y * (y * x)) \ x = (x \ (y \ x)) * (x \ (y \ x)). (y * x) \ (y \ x) = (x \ (y \ x)) * (x \ (y \ x)). (y * x) \ (y \ x) = x \ ((x / (y \ x)) \ (y \ x)). (x * y) \ (x \ y) = y \ (x \ (x \ y)). i(x) * (y * (x * y)) = (y \ x) \ (x * y). (x * y) / (y \ (x * (x * y))) = x \ y. i(x) \ (y \ (y \ i(x))) = x * (y \ (y \ i(x))). (((x * y) \ (y * x)) \ (z \ (z \ ((x * y) \ (y * x))))) * (((x * y) \ (y * x)) \ (z * z)) = (y * x) \ (x * y). (x * (x * y)) \ y = y \ (x \ (x \ y)). x * ((y / z) \ (z * i(y))) = x / ((y / z) * (y / z)). x * (z * (y \ (z / y))) = x / ((y / z) * (y / z)). x * (y * (z \ (y / z))) = x / (z * (y \ (z / y))). ((x / (y * y)) / x) * z = x * ((y \ i(y)) * (x \ z)). (x / (x * (y * y))) * z = x * ((y \ i(y)) * (x \ z)). (x / (x * (y * y))) * z = x * ((y * y) \ (x \ z)). x * ((y \ z) \ (i(z) * y)) = x / ((y \ z) * (y \ z)). x * (z \ ((z / y) \ y)) = x / ((y \ z) * (y \ z)). x * (y \ ((y / z) \ z)) = x / (z \ ((z / y) \ y)). ((x / y) / (z * z)) * y = x * (y \ ((z \ i(z)) * y)). ((x / y) / (z * z)) * y = x * (y \ ((z * z) \ y)). i(x * y) \ ((x * z) * y) = ((x * y) * (x * y)) * (y \ (z * y)). (y \ i(x)) \ ((x * z) * y) = ((x * y) * (x * y)) * (y \ (z * y)). (y \ i(x)) \ ((x * z) * y) = (x * (y * (x * y))) * (y \ (z * y)). (x * (y * (x * y))) * (y \ (z * y)) = (y \ i(x)) \ ((x * z) * y). (x \ i(y)) \ ((y * x) * z) = ((y * x) * (y * x)) * z. (x \ i(y)) \ ((y * x) * z) = (y * (x * (y * x))) * z. (i(x) * y) \ ((y \ x) * z) = ((y \ x) * (y \ x)) * z. (i(x) * y) \ ((y \ x) * z) = (y \ ((y / x) \ x)) * z. i(x \ y) \ ((y \ x) \ x) = ((x \ y) * (x \ y)) * x. (i(y) * x) \ ((y \ x) \ x) = ((x \ y) * (x \ y)) * x. (i(y) * x) \ ((y \ x) \ x) = (x \ ((x / y) \ y)) * x. (i(y) * x) \ ((y \ x) \ x) = (((x / y) \ y) \ x) \ x. (i(y) * x) \ ((y \ x) \ x) = (y \ ((y / x) \ x)) \ x. (i(x) * y) \ ((x \ y) \ y) = (x \ y) \ (y \ (x * y)). i(x \ y) \ (x \ (y / x)) = ((x \ y) * (x \ y)) * i(x). (i(y) * x) \ (x \ (y / x)) = ((x \ y) * (x \ y)) * i(x). (i(y) * x) \ (x \ (y / x)) = (x \ ((x / y) \ y)) * i(x). (i(x) * y) \ (y \ (x / y)) = y \ (((y / x) \ x) / y). (x / (y / x)) * (i(y) \ (z * i(y))) = ((x * x) * z) * i(y). (x / (y / x)) * (y / (y / z)) = ((x * x) * z) * i(y). (x * x) * (y \ i(z)) = x / ((z * y) / x). (x * x) * (i(y) * z) = x / ((z \ y) / x). x / ((z * (y / (y * z))) / x) = x * (x * ((y / (y * z)) \ i(z))). x * (x * ((y / (y * z)) \ i(z))) = x / ((z * (y / (y * z))) / x). (x / (y \ i(y))) * ((y \ i(y)) * z) = (y \ i(y)) * (((y * y) * x) * z). (i(x) \ (y * y)) * ((y \ i(y)) * z) = (y \ i(y)) * (((y * y) * x) * z). (x * (y * y)) * ((y \ i(y)) * z) = (y \ i(y)) * (((y * y) * x) * z). (x * (y * y)) * ((y * y) \ z) = (y \ i(y)) * (((y * y) * x) * z). (x * (y * y)) * ((y * y) \ z) = (y * y) \ (((y * y) * x) * z). ((x / y) \ (y * i(x))) \ z = ((x / y) * (x / y)) * z. (y * (x \ (y / x))) \ z = ((x / y) * (x / y)) * z. (y * (x \ (y / x))) \ z = (x * (y \ (x / y))) * z. (x * (y \ (x / y))) * z = (y * (x \ (y / x))) \ z. (((x \ i(x)) * y) / (x \ i(x))) * z = (x \ i(x)) * (y * ((x * x) * z)). (((x * x) \ y) / (x \ i(x))) * z = (x \ i(x)) * (y * ((x * x) * z)). (i((x * x) \ y) \ (x * x)) * z = (x \ i(x)) * (y * ((x * x) * z)). ((i(y) * (x * x)) \ (x * x)) * z = (x \ i(x)) * (y * ((x * x) * z)). ((y \ (x * x)) \ (x * x)) * z = (x \ i(x)) * (y * ((x * x) * z)). ((x * x) \ (y * (x * x))) * z = (x \ i(x)) * (y * ((x * x) * z)). ((x * x) \ (y * (x * x))) * z = (x * x) \ (y * ((x * x) * z)). ((x \ y) \ (i(y) * x)) \ z = ((x \ y) * (x \ y)) * z. (y \ ((y / x) \ x)) \ z = ((x \ y) * (x \ y)) * z. (y \ ((y / x) \ x)) \ z = (x \ ((x / y) \ y)) * z. (x \ ((x / y) \ y)) * z = (y \ ((y / x) \ x)) \ z. (y * (x \ (y / x))) \ (y * y) = (y / x) \ (x * y). (x \ (y / x)) \ y = (y / x) \ (x * y). (x * (y \ (x / y))) \ y = (x / y) \ (y / (y \ x)). (x * (y \ (x / y))) \ ((y / x) \ z) = (x * i(y)) \ z. (i(x) * y) \ ((y \ x) * z) = (x \ ((x / y) \ y)) \ z. (i(x) * (i(x) * ((y * z) \ (z * y)))) / ((y * z) \ (z * y)) = x \ i(x). (x \ (x \ ((y * z) \ (z * y)))) / ((y * z) \ (z * y)) = x \ i(x). (i(x * y) * (((y * x) * (x * y)) \ (x * y))) / ((y * x) \ (x * y)) = i(x * y) * i(x * y). ((y \ i(x)) * (((y * x) * (x * y)) \ (x * y))) / ((y * x) \ (x * y)) = i(x * y) * i(x * y). ((((y * x) * (x * y)) * (x * y)) \ (x * y)) / ((y * x) \ (x * y)) = i(x * y) * i(x * y). ((x * y) \ ((x * y) \ ((y * x) \ (x * y)))) / ((y * x) \ (x * y)) = i(x * y) * i(x * y). (x * y) \ i(x * y) = i(x * y) * i(x * y). (x * y) \ (y \ i(x)) = i(x * y) * i(x * y). (x * y) \ (y \ i(x)) = (y \ i(x)) * i(x * y). (x * y) \ (y \ i(x)) = (y \ i(x)) * (y \ i(x)). (x * y) \ (y \ i(x)) = y \ ((y / i(x)) \ i(x)). (x * y) \ (y \ i(x)) = y \ ((i(y) \ x) \ i(x)). (x * y) \ (y \ i(x)) = y \ (x \ (i(y) / x)). (x * y) \ (y \ i(x)) = y \ (x \ (y \ i(x))). i(x) * (y \ (x \ i(y))) = x \ (y \ (x \ i(y))). ((x * y) \ y) \ (i(y) / ((x * y) \ y)) = (x \ y) \ i((x * y) \ y). ((x * y) \ y) \ (y \ i((x * y) \ y)) = (x \ y) \ i((x * y) \ y). ((x * y) \ y) \ (y \ (i(y) * (x * y))) = (x \ y) \ i((x * y) \ y). ((x * y) \ y) \ (y \ ((x \ y) \ y)) = (x \ y) \ i((x * y) \ y). (y \ x) * ((x \ y) \ y) = (x \ y) \ i((x * y) \ y). (y \ x) * ((x \ y) \ y) = (x \ y) \ (i(y) * (x * y)). (x \ y) * ((y \ x) \ x) = (y \ x) \ ((y \ x) \ x). x * ((i(y) \ x) * z) = (i(y) \ x) * (((i(y) \ x) \ ((x * y) * x)) * z). (x * y) * (x * z) = (i(y) \ x) * (((i(y) \ x) \ ((x * y) * x)) * z). (x * y) * (x * z) = (i(y) \ x) * ((x \ (((x \ y) \ y) * x)) * z). (i(x) \ y) * ((y \ (((y \ x) \ x) * y)) * z) = (y * x) * (y * z). (x \ (y / x)) / ((x \ (y / x)) \ i(x)) = i(x \ y) \ (x \ (y / x)). (x \ (y / x)) / i(y / x) = i(x \ y) \ (x \ (y / x)). (x \ (y / x)) / (x * i(y)) = i(x \ y) \ (x \ (y / x)). i(x \ (y / x)) \ (y / x) = i(x \ y) \ (x \ (y / x)). (i(y / x) * x) \ (y / x) = i(x \ y) \ (x \ (y / x)). ((x * i(y)) * x) \ (y / x) = i(x \ y) \ (x \ (y / x)). (x / (x \ y)) \ (y / x) = i(x \ y) \ (x \ (y / x)). (x / (x \ y)) \ (y / x) = (i(y) * x) \ (x \ (y / x)). (x / (x \ y)) \ (y / x) = x \ (((x / y) \ y) / x). ((x \ y) / i(x)) / (x \ y) = (x \ y) * i(x \ (y / x)). (i(x \ y) \ x) / (x \ y) = (x \ y) * i(x \ (y / x)). ((i(y) * x) \ x) / (x \ y) = (x \ y) * i(x \ (y / x)). (x \ (y * x)) / (x \ y) = (x \ y) * i(x \ (y / x)). (x \ (y * x)) / (x \ y) = (x \ y) * (i(y / x) * x). (x \ (y * x)) / (x \ y) = (x \ y) * ((x * i(y)) * x). (x \ (y * x)) / (x \ y) = (x \ y) * (x / (x \ y)). (x \ (y * x)) / (x \ y) = (x \ y) / ((x \ y) / x). (x \ (y * x)) / (x \ y) = x \ ((y * x) * (y \ x)). (i(x) * y) * (x \ (y / x)) = x \ (((x / y) \ y) / x). x \ (((y * x) * x) * ((y * x) \ x)) = (y \ x) \ ((y / x) \ x). x \ (((y * x) * i(y)) * x) = (y \ x) \ ((y / x) \ x). x \ ((y / (y / x)) * x) = (y \ x) \ ((y / x) \ x). x \ (y / ((x \ y) / x)) = (y \ x) \ ((y / x) \ x). (x \ y) \ ((x / y) \ y) = y \ (x / ((y \ x) / y)). (x \ (y / ((x \ y) / x))) * z = (x \ y) * (x * ((x \ y) \ z)). (x \ (y \ x)) \ (y \ x) = x \ (y / ((x \ y) / x)). (x * y) / (x * (y \ i(z))) = (x * ((y * z) * y)) / x. (x / y) \ ((y * i(x)) * z) = ((x / y) * (x / y)) \ z. (x / y) \ ((y * i(x)) * z) = (x * (y \ (x / y))) \ z. (x \ y) \ ((i(y) * x) * z) = ((x \ y) * (x \ y)) \ z. (x \ y) \ ((i(y) * x) * z) = (x \ ((x / y) \ y)) \ z. x \ (i(x) * (i(y) \ (x * x))) = (y \ (x * x)) \ (x * x). x \ (i(x) * (y * (x * x))) = (y \ (x * x)) \ (x * x). x \ (x \ ((y * x) * x)) = (y \ (x * x)) \ (x * x). x \ (x \ ((y * x) * x)) = (x * x) \ (y * (x * x)). (x * x) \ (y * (x * x)) = x \ (x \ ((y * x) * x)). x \ ((i(x) * i(x)) * y) = (x * x) \ (i(i(x)) \ y). x \ ((x \ i(x)) * y) = (x * x) \ (i(i(x)) \ y). x \ ((x * x) \ y) = (x * x) \ (i(i(x)) \ y). x \ ((x * x) \ y) = (x * x) \ (x \ y). (x * x) \ (x \ y) = x \ ((x * x) \ y). (x \ (x \ ((y * x) * x))) * z = (x * x) \ (y * ((x * x) * z)). x * (y \ (y \ ((z * y) * y))) = (z \ (y / (x / y))) \ (y * y). ((x * x) \ y) * (y \ (z * y)) = ((x \ i(x)) * z) * y. ((x * x) \ y) * (y \ (z * y)) = ((x * x) \ z) * y. (x * i(y)) * ((y / x) \ z) = ((y / x) * (y / x)) \ z. (x * i(y)) * ((y / x) \ z) = (y * (x \ (y / x))) \ z. i(x / y) * (y / (y * x)) = ((x / y) * (x / y)) \ i(y). (y * i(x)) * (y / (y * x)) = ((x / y) * (x / y)) \ i(y). y / (y / (x \ (y / x))) = ((x / y) * (x / y)) \ i(y). y / (y / (x \ (y / x))) = (x * (y \ (x / y))) \ i(y). x / (x / (y \ (x / y))) = (y / x) \ ((x / y) / x). i(x \ y) * ((x * x) \ y) = (i(x) \ (x \ y)) \ (x \ y). (i(y) * x) * ((x * x) \ y) = (i(x) \ (x \ y)) \ (x \ y). (i(y) * x) * ((x * x) \ y) = (x \ (i(x) \ y)) \ (x \ y). (i(x) * y) * ((y * y) \ x) = (y * x) \ x. i(i(x) * y) * (y \ (x * y)) = ((i(x) * y) * (i(x) * y)) \ y. (y \ i(i(x))) * (y \ (x * y)) = ((i(x) * y) * (i(x) * y)) \ y. (y \ x) * (y \ (x * y)) = ((i(x) * y) * (i(x) * y)) \ y. (y \ x) * (y \ (x * y)) = (i(x) * (y * (i(x) * y))) \ y. (y \ x) * (y \ (x * y)) = (i(x) * ((x / y) \ y)) \ y. (y \ x) * (y \ (x * y)) = (x \ ((x / y) \ y)) \ y. (x \ y) * (x \ (y * x)) = (y \ x) \ (x \ (y * x)). (x * i(y)) \ (y / (y * x)) = (x / y) \ ((y / x) / y). ((i(x) * y) / i(x)) * ((x * x) \ z) = i(x) * (y * (x \ z)). (i(i(x) * y) \ x) * ((x * x) \ z) = i(x) * (y * (x \ z)). ((y \ i(i(x))) \ x) * ((x * x) \ z) = i(x) * (y * (x \ z)). ((x \ y) \ y) * ((y * y) \ z) = i(y) * (x * (y \ z)). ((x * x) \ y) * (x \ y) = ((x * x) \ y) / (((x * x) \ y) \ i(x)). ((x * x) \ y) * (x \ y) = ((x * x) \ y) / (y \ x). ((x * x) \ y) / (((x * x) \ y) \ (x \ y)) = i(i(x)) \ ((x * x) \ y). ((x * x) \ y) / ((x \ y) \ y) = i(i(x)) \ ((x * x) \ y). ((x * x) \ y) / ((x \ y) \ y) = x \ ((x * x) \ y). (x \ (y * y)) \ (i(y) * x) = ((y * y) \ x) / (x \ y). (x \ y) * (i((x * x) \ y) * (x \ y)) = i(x) \ (x \ y). (x \ y) * ((i(y) * (x * x)) * (x \ y)) = i(x) \ (x \ y). (x \ y) * ((y \ (x * x)) * (x \ y)) = i(x) \ (x \ y). (x \ y) * (y \ (x * y)) = i(x) \ (x \ y). (x \ y) * (y \ (x * y)) = x \ (i(x) \ y). (x \ y) \ (i(x) \ (x \ y)) = i((x * x) \ y) * (x \ y). (x \ y) \ (x \ (i(x) \ y)) = i((x * x) \ y) * (x \ y). (x \ y) \ (x \ (i(x) \ y)) = (i(y) * (x * x)) * (x \ y). (x \ y) \ (x \ (i(x) \ y)) = (y \ (x * x)) * (x \ y). (x \ y) \ (x \ (i(x) \ y)) = y \ (x * y). (x \ y) * (x * x) = ((i(x) \ y) \ (x * x)) \ (x * x). (x \ y) * (x * x) = (i(y) * x) \ (x * x). (x \ y) * (x * x) = x \ ((i(y) \ x) * x). (x \ y) * (x * x) = x \ (i(y) \ (x * x)). (x \ y) * (x * x) = x \ (y * (x * x)). (i(x) \ y) * (x \ y) = (i(x) \ y) / ((i(x) \ y) \ (x * x)). (i(x) \ y) * (x \ y) = (i(x) \ y) / (i(y) * x). (i(x) \ y) * (x \ y) = i(i(x) \ y) \ (x \ y). (i(x) \ y) * (x \ y) = (i(y) * i(x)) \ (x \ y). (i(x) * i(y)) \ (y \ x) = (i(y) \ x) * (y \ x). (x \ y) * (i(x) \ y) = (x * x) \ ((i(x) \ y) * (i(x) \ y)). (x \ y) * (i(x) \ y) = (x * x) \ (i(x) \ ((i(x) / y) \ y)). (x \ y) * (i(x) \ y) = (x * x) \ (i(x) \ ((x \ i(y)) \ y)). (x \ y) * (i(x) \ y) = (x * x) \ (i(x) \ (y * (x * y))). (x \ y) * (i(x) \ y) = (x * x) \ (x * (y * (x * y))). (x \ y) * (i(x) \ y) = i(x) * (y * (x * y)). (x \ y) * (i(x) \ y) = (y \ x) \ (x * y). ((x / y) * (x / y)) \ (i(x / y) \ (x * x)) = y * x. (x * (y \ (x / y))) \ (i(x / y) \ (x * x)) = y * x. (x * (y \ (x / y))) \ ((y * i(x)) \ (x * x)) = y * x. (x * (y \ (x / y))) \ ((x / y) * (x * x)) = y * x. (x * (y \ (x / y))) \ (((x \ y) / x) \ x) = y * x. (x \ (y * (x * x))) * (x \ y) = (y \ x) \ (x * y). (i(x / y) \ x) / y = (x / y) * (x / y). ((y * i(x)) \ x) / y = (x / y) * (x / y). (x / (x \ y)) / y = (x / y) * (x / y). (x / (x \ y)) / y = x * (y \ (x / y)). x * (y \ (x / y)) = (x / (x \ y)) / y. (i(x / y) \ (x / (x * y))) / i(x) = (x / y) * (x / y). ((y * i(x)) \ (x / (x * y))) / i(x) = (x / y) * (x / y). ((y / x) \ ((x / y) / x)) / i(x) = (x / y) * (x / y). i((y / x) \ ((x / y) / x)) \ x = (x / y) * (x / y). (i((x / y) / x) * (y / x)) \ x = (x / y) * (x / y). ((x * i(x / y)) * (y / x)) \ x = (x / y) * (x / y). ((x * (y * i(x))) * (y / x)) \ x = (x / y) * (x / y). (((x * y) / x) * (y / x)) \ x = (x / y) * (x / y). (x * (y * (x \ (y / x)))) \ x = (x / y) * (x / y). (x * ((y / (y \ x)) / x)) \ x = (x / y) * (x / y). (x / (x / (y / (y \ x)))) \ x = (x / y) * (x / y). x / (y / (y \ x)) = (x / y) * (x / y). x / (y / (y \ x)) = x * (y \ (x / y)). x / (y / (y \ x)) = (x / (x \ y)) / y. (x / (x \ y)) / y = x / (y / (y \ x)). (i(x / (x / y)) \ (i(x) \ y)) / x = (x / (x / y)) * (x / (x / y)). (((x / y) * i(x)) \ (i(x) \ y)) / x = (x / (x / y)) * (x / (x / y)). ((x / (x * y)) \ (i(x) \ y)) / x = (x / (x / y)) * (x / (x / y)). ((x * y) * y) / x = (x / (x / y)) * (x / (x / y)). ((x * y) * y) / x = x * ((x / y) \ (x / (x / y))). ((x * y) * y) / x = x * (i(y) \ (y / x)). x * (i(y) \ (y / x)) = ((x * y) * y) / x. ((x / (x \ y)) / y) \ (((x \ y) / x) \ x) = y * x. (x / (y / (y \ x))) \ (((x \ y) / x) \ x) = y * x. (x * i(y)) * ((y / x) \ z) = ((y / (y \ x)) / x) \ z. (x * i(y)) * ((y / x) \ z) = (y / (x / (x \ y))) \ z. (x / y) \ ((y * i(x)) * z) = ((x / (x \ y)) / y) \ z. (x / y) \ ((y * i(x)) * z) = (x / (y / (y \ x))) \ z. ((x / (x \ y)) / y) \ ((y / x) \ z) = (x * i(y)) \ z. (x / (y / (y \ x))) \ ((y / x) \ z) = (x * i(y)) \ z. ((x / (x \ y)) / y) \ y = (x / y) \ (y / (y \ x)). (x / (y / (y \ x))) \ y = (x / y) \ (y / (y \ x)). ((x / (x \ y)) / y) * z = (y * (x \ (y / x))) \ z. (x / (y / (y \ x))) * z = (y * (x \ (y / x))) \ z. (x / (y / (y \ x))) * z = ((y / (y \ x)) / x) \ z. (x / (y / (y \ x))) * z = (y / (x / (x \ y))) \ z. x * ((y / (y \ z)) / z) = x / (z * (y \ (z / y))). x * (y / (z / (z \ y))) = x / (z * (y \ (z / y))). x * (y / (z / (z \ y))) = x / ((z / (z \ y)) / y). x * (y / (z / (z \ y))) = x / (z / (y / (y \ z))). (x / (x \ y)) * i(y) = (x / (x \ y)) / y. (x / (x \ y)) * i(y) = x / (y / (y \ x)). x / ((x / (x \ y)) / y) = (x / (x * y)) \ (y / x). x / (x / (y / (y \ x))) = (x / (x * y)) \ (y / x). (x / y) * (x / y) = (x / (x \ y)) / y. (x / y) * (x / y) = x / (y / (y \ x)). x * (y \ (x / y)) = x / (y / (y \ x)). i(x) \ (i(y) \ (y / x)) = ((x * y) * y) / x. (x / y) / (((y * x) * x) / y) = i(x) * i(y). (i(x \ (y \ i(z))) * (x \ (y * x))) * (x \ (y \ i(z))) = (x \ (y \ i(z))) \ (x \ i(z)). ((i(y \ i(z)) * x) * (x \ (y * x))) * (x \ (y \ i(z))) = (x \ (y \ i(z))) \ (x \ i(z)). (((i(i(z)) * y) * x) * (x \ (y * x))) * (x \ (y \ i(z))) = (x \ (y \ i(z))) \ (x \ i(z)). (((z * y) * x) * (x \ (y * x))) * (x \ (y \ i(z))) = (x \ (y \ i(z))) \ (x \ i(z)). (((z * y) * y) * x) * (x \ (y \ i(z))) = (x \ (y \ i(z))) \ (x \ i(z)). ((z * y) * x) / (z * x) = (x \ (y \ i(z))) \ (x \ i(z)). ((z * y) * x) / (z * x) = x \ (((y \ i(z)) / x) \ i(z)). ((z * y) * x) / (z * x) = x \ (((z * y) \ i(x)) \ i(z)). ((x * y) * z) / (x * z) = z \ ((z * (x * y)) / x). ((x / (x * y)) \ i(x)) * ((x / (x * y)) \ ((y / x) \ i(z))) = (x / (x * y)) \ i(z). ((x * y) / (x * x)) * ((x / (x * y)) \ ((y / x) \ i(z))) = (x / (x * y)) \ i(z). x * ((y / x) * (x \ ((x / (x * y)) \ ((y / x) \ i(z))))) = (x / (x * y)) \ i(z). (x \ (x / (x \ y))) * (x \ ((x * i(y)) \ i(z))) = x \ i(z). (y \ x) * (x \ ((x * i(y)) \ i(z))) = x \ i(z). (x \ y) * (y \ ((x / y) / z)) = y \ i(z). x \ ((x * (y * x)) / y) = y / (y / x). ((x / y) / (x * x)) * ((x * x) * z) = (x * x) * ((x \ i(y)) * z). (x / ((x * x) * y)) * ((x * x) * z) = (x * x) * ((x \ i(y)) * z). ((x / (x \ y)) * (x / (x \ y))) \ x = (x / (x \ y)) \ i(y \ x). (x / ((x \ y) / ((x \ y) \ x))) \ x = (x / (x \ y)) \ i(y \ x). (x / ((x \ y) / (y \ (x * x)))) \ x = (x / (x \ y)) \ i(y \ x). (x / (((y / x) \ x) \ (x \ y))) \ x = (x / (x \ y)) \ i(y \ x). ((y / x) \ x) \ (x \ y) = (x / (x \ y)) \ i(y \ x). ((y / x) \ x) \ (x \ y) = (x / (x \ y)) \ (i(x) * y). (x / (x \ y)) \ (i(x) * y) = ((y / x) \ x) \ (x \ y). i(x / y) \ (x \ i(y)) = ((x * x) / (x / y)) \ (x / y). (y * i(x)) \ (x \ i(y)) = ((x * x) / (x / y)) \ (x / y). x / ((y * x) * y) = ((x * x) / (x / y)) \ (x / y). x / ((y * x) * y) = (x / ((x / y) / x)) \ (x / y). x / ((y * x) * y) = (x / y) / (y * x). (x / y) / (y * x) = x / ((y * x) * y). ((i(x) * y) * (x \ (y / x))) \ ((i(x) * y) * (i(x) * y)) = x. (x \ (((x / y) \ y) / x)) \ ((i(x) * y) * (i(x) * y)) = x. (x \ (((x / y) \ y) / x)) \ (i(x) * (y * (i(x) * y))) = x. (x \ (((x / y) \ y) / x)) \ (i(x) * ((x / y) \ y)) = x. (x \ (((x / y) \ y) / x)) \ (x \ ((x / y) \ y)) = x. ((x / y) \ y) \ (i((x / y) \ y) \ x) = x. ((x / y) \ y) \ ((i(y) * (x / y)) \ x) = x. ((x / y) \ y) \ (((y \ x) / y) \ x) = x. (i(x) * y) / ((i(x) * y) \ x) = i(x \ (y / x)) \ (i(x) * y). (y \ x) \ i((i(x) * y) \ x) = i(x \ (y / x)) \ (i(x) * y). (y \ x) \ (i(x) * (i(x) * y)) = i(x \ (y / x)) \ (i(x) * y). (y \ x) \ (x \ (x \ y)) = i(x \ (y / x)) \ (i(x) * y). (y \ x) \ (x \ (x \ y)) = (i(y / x) * x) \ (i(x) * y). (y \ x) \ (x \ (x \ y)) = ((x * i(y)) * x) \ (i(x) * y). (y \ x) \ (x \ (x \ y)) = (x / (x \ y)) \ (i(x) * y). (y \ x) \ (x \ (x \ y)) = ((y / x) \ x) \ (x \ y). ((x / y) \ y) \ (y \ x) = (x \ y) \ (y \ (y \ x)). (x \ (y / x)) * (x \ y) = (y \ x) \ (x \ (x \ y)). (x \ y) / (y \ (x * x)) = (y \ x) \ (x \ (x \ y)). (i(x) * ((x * y) \ (y * x))) \ i(x) = ((x * y) \ (y * x)) \ 1. i(x) \ (i(x) / ((x * y) \ (y * x))) = ((x * y) \ (y * x)) \ 1. i(x) \ (x \ i((x * y) \ (y * x))) = ((x * y) \ (y * x)) \ 1. i(x) \ (x \ (i(y * x) * (x * y))) = ((x * y) \ (y * x)) \ 1. i(x) \ (x \ ((x \ i(y)) * (x * y))) = ((x * y) \ (y * x)) \ 1. i(x) \ (x \ ((y * x) \ (x * y))) = ((x * y) \ (y * x)) \ 1. x \ (i(x) \ ((y * x) \ (x * y))) = ((x * y) \ (y * x)) \ 1. x \ (x * ((y * x) \ (x * y))) = ((x * y) \ (y * x)) \ 1. x \ (y \ (x * y)) = ((x * y) \ (y * x)) \ 1. x \ (y \ (x * y)) = i((x * y) \ (y * x)). x \ (y \ (x * y)) = i(y * x) * (x * y). x \ (y \ (x * y)) = (x \ i(y)) * (x * y). x \ (y \ (x * y)) = (y * x) \ (x * y). (x * y) \ (y * x) = y \ (x \ (y * x)). i(x) / (((x * y) \ (y * x)) \ (z \ i(x))) = z * ((x * y) \ (y * x)). i(x) / ((y \ (x \ (y * x))) \ (z \ i(x))) = z * ((x * y) \ (y * x)). x \ i((y \ (x \ (y * x))) \ (z \ i(x))) = z * ((x * y) \ (y * x)). x \ (i(z \ i(x)) * (y \ (x \ (y * x)))) = z * ((x * y) \ (y * x)). x \ ((i(i(x)) * z) * (y \ (x \ (y * x)))) = z * ((x * y) \ (y * x)). x \ ((x * z) * (y \ (x \ (y * x)))) = z * ((x * y) \ (y * x)). x \ ((x * y) * (z \ (x \ (z * x)))) = y * (z \ (x \ (z * x))). i(((x * y) \ (y * x)) \ (z \ i(x))) = i(i(x)) * (z * ((x * y) \ (y * x))). i((y \ (x \ (y * x))) \ (z \ i(x))) = i(i(x)) * (z * ((x * y) \ (y * x))). i(z \ i(x)) * (y \ (x \ (y * x))) = i(i(x)) * (z * ((x * y) \ (y * x))). (i(i(x)) * z) * (y \ (x \ (y * x))) = i(i(x)) * (z * ((x * y) \ (y * x))). (x * z) * (y \ (x \ (y * x))) = i(i(x)) * (z * ((x * y) \ (y * x))). (x * z) * (y \ (x \ (y * x))) = x * (z * ((x * y) \ (y * x))). (x * y) * (z \ (x \ (z * x))) = x * (y * (z \ (x \ (z * x)))). (x \ (x \ (z \ (y \ (z * y))))) / ((y * z) \ (z * y)) = x \ i(x). (x \ (x \ (y \ (z \ (y * z))))) / (y \ (z \ (y * z))) = x \ i(x). ((y \ (x \ (y * x))) \ (z \ (z \ ((x * y) \ (y * x))))) * (((x * y) \ (y * x)) \ (z * z)) = (y * x) \ (x * y). ((y \ (x \ (y * x))) \ (z \ (z \ (y \ (x \ (y * x)))))) * (((x * y) \ (y * x)) \ (z * z)) = (y * x) \ (x * y). ((y \ (x \ (y * x))) \ (z \ (z \ (y \ (x \ (y * x)))))) * ((y \ (x \ (y * x))) \ (z * z)) = (y * x) \ (x * y). ((x \ (y \ (x * y))) \ (z \ (z \ (x \ (y \ (x * y)))))) * ((x \ (y \ (x * y))) \ (z * z)) = y \ (x \ (y * x)). i(x) \ (z \ (y \ (z * y))) = x * ((y * z) \ (z * y)). i(x) \ (y \ (z \ (y * z))) = x * (y \ (z \ (y * z))). y \ (i(x) \ (y * i(x))) = (y \ x) * (y * i(x)). y \ (x / (x / y)) = (y \ x) * (y * i(x)). (x \ y) * (x * i(y)) = x \ (y / (y / x)). (x * y) * (z \ (x \ (z * x))) = (x * y) / ((z * x) \ (x * z)). x * (y * (z \ (x \ (z * x)))) = (x * y) / ((z * x) \ (x * z)). x * (y * (z \ (x \ (z * x)))) = (x * y) / (x \ (z \ (x * z))). (x / (y * z)) * (z * y) = x * (z \ (y \ (z * y))). x \ (x / (z \ (y \ (z * y)))) = (z * y) \ (y * z). x \ (x / (y \ (z \ (y * z)))) = z \ (y \ (z * y)). (x \ i(y)) * (x * y) = x \ (y \ (x * y)). (x / y) * (z \ (y * z)) = x * (y \ (z \ (y * z))). (A * B) * (C \ (D \ (C * D))) != A * (B * ((D * C) \ (C * D))). (A * B) * (C \ (D \ (C * D))) != A * (B * (C \ (D \ (C * D)))). x \ (x * (y * (z \ (x \ (z * x))))) = y * (z \ (x \ (z * x))). x \ ((x * y) / (x \ (z \ (x * z)))) = y * (z \ (x \ (z * x))). ((i(x) * y) / x) * z = x * (((x * x) \ y) * (x \ z)). ((y \ x) \ i(x)) * z = x * (((x * x) \ y) * (x \ z)). (x \ (y / x)) * z = x * (((x * x) \ y) * (x \ z)). x * (((x * x) \ y) * (x \ z)) = (x \ (y / x)) * z. (((x / (x / y)) * (x / (x / y))) \ x) * (y / x) = i(x / (x / y)). ((x / ((x / y) / ((x / y) \ x))) \ x) * (y / x) = i(x / (x / y)). ((x / ((x / y) / y)) \ x) * (y / x) = i(x / (x / y)). ((x / y) / y) * (y / x) = i(x / (x / y)). ((x / y) / y) * (y / x) = (x / y) * i(x). ((x / y) / y) * (y / x) = x / (x * y). ((x / (y * y)) * (z * y)) / (x * i(y)) = ((x / (y * y)) * z) / (x / (y * y)). i((x / (y * y)) * (z * y)) \ (y / x) = ((x / (y * y)) * z) / (x / (y * y)). ((z * y) \ i(x / (y * y))) \ (y / x) = ((x / (y * y)) * z) / (x / (y * y)). ((z * y) \ ((y * y) * i(x))) \ (y / x) = ((x / (y * y)) * z) / (x / (y * y)). ((z * y) \ (y / (x / y))) \ (y / x) = ((x / (y * y)) * z) / (x / (y * y)). ((x / (y * y)) * z) / (x / (y * y)) = ((z * y) \ (y / (x / y))) \ (y / x). (x * i(i(y))) * (x / (i(y) * i(y))) = (x / (i(y) * i(y))) / ((x / (i(y) * i(y))) \ y). (x * y) * (x / (i(y) * i(y))) = (x / (i(y) * i(y))) / ((x / (i(y) * i(y))) \ y). (x * y) * (x / (y \ i(y))) = (x / (i(y) * i(y))) / ((x / (i(y) * i(y))) \ y). (x * y) * (i(x) \ (y * y)) = (x / (i(y) * i(y))) / ((x / (i(y) * i(y))) \ y). (x * y) * (x * (y * y)) = (x / (i(y) * i(y))) / ((x / (i(y) * i(y))) \ y). (x * y) * (x * (y * y)) = (x / (y \ i(y))) / ((x / (i(y) * i(y))) \ y). (x * y) * (x * (y * y)) = (i(x) \ (y * y)) / ((x / (i(y) * i(y))) \ y). (x * y) * (x * (y * y)) = (x * (y * y)) / ((x / (i(y) * i(y))) \ y). (x * y) * (x * (y * y)) = (x * (y * y)) / ((x / (y \ i(y))) \ y). (x * y) * (x * (y * y)) = (x * (y * y)) / ((i(x) \ (y * y)) \ y). (x * y) * (x * (y * y)) = (x * (y * y)) / ((x * (y * y)) \ y). (x * y) * (x * (y * y)) = (x * (y * y)) / (y \ ((x * y) \ y)). (x * y) * (x * (y * y)) = (x * (y * (x * y))) * y. (x * (y * (x * y))) * y = (x * y) * (x * (y * y)). i(x) * ((y \ i(z)) \ (u * (y \ i(z)))) = ((x \ (z * y)) * u) * (y \ i(z)). i(x) * (i(z) \ ((y * u) * (y \ i(z)))) = ((x \ (z * y)) * u) * (y \ i(z)). i(x) * ((z * y) / ((z * y) / u)) = ((x \ (z * y)) * u) * (y \ i(z)). ((x \ (y * z)) * u) * (z \ i(y)) = i(x) * ((y * z) / ((y * z) / u)). (i(x * y) \ z) * (y \ i(x)) = i(((x * y) / z) / (x * y)). ((y \ i(x)) \ z) * (y \ i(x)) = i(((x * y) / z) / (x * y)). (z \ (y \ i(x))) \ (y \ i(x)) = i(((x * y) / z) / (x * y)). (z \ (y \ i(x))) \ (y \ i(x)) = (x * y) * i((x * y) / z). (z \ (y \ i(x))) \ (y \ i(x)) = (x * y) * (z * i(x * y)). (z \ (y \ i(x))) \ (y \ i(x)) = (x * y) * (z * (y \ i(x))). (x \ (y \ i(z))) \ (y \ i(z)) = ((z * y) * x) / (z * y). ((x / y) * (x / y)) \ (y * ((y \ x) * z)) = i(x / y) * (y * z). (x / (y / (y \ x))) \ (y * ((y \ x) * z)) = i(x / y) * (y * z). (x / (y / (y \ x))) \ (y * ((y \ x) * z)) = (y * i(x)) * (y * z). (x / (y / (y \ x))) \ (y * ((y \ x) * z)) = y * ((x \ y) * z). ((x / y) * (x / y)) \ ((x / y) * z) = (y * i(x)) * z. (x / (y / (y \ x))) \ ((x / y) * z) = (y * i(x)) * z. (x / ((y * z) / y)) \ (i(x) \ ((y * z) / y)) = y * (z * (y \ ((y * z) / y))). ((y * z) / y) * ((y * z) / y) = y * (z * (y \ ((y * z) / y))). (y * z) / (y / (y \ (y * z))) = y * (z * (y \ ((y * z) / y))). (y * z) / (y / z) = y * (z * (y \ ((y * z) / y))). (y * z) / (y / z) = y * (z * (z * i(y))). (y * z) / (y / z) = y * (i(z) \ (z / y)). (y * z) / (y / z) = ((y * z) * z) / y. ((x * y) * y) / x = (x * y) / (x / y). (i(x) \ y) / ((i(x) \ y) \ (y * y)) = i(x / y) \ (i(x) \ y). (i(x) \ y) / (y \ ((i(x) * y) * y)) = i(x / y) \ (i(x) \ y). (i(x) \ y) / (y \ ((i(y) * x) \ y)) = i(x / y) \ (i(x) \ y). (i(x) \ y) / (((x \ y) \ y) \ y) = i(x / y) \ (i(x) \ y). (i(x) \ y) / (((x \ y) \ y) \ y) = (y * i(x)) \ (i(x) \ y). ((x / y) * (x / y)) * (y * y) = i(x / y) \ (i(x) \ y). (x / (y / (y \ x))) * (y * y) = i(x / y) \ (i(x) \ y). (y / (x / (x \ y))) \ (y * y) = i(x / y) \ (i(x) \ y). (x / (x \ y)) * y = i(x / y) \ (i(x) \ y). (x / (x \ y)) * y = (y * i(x)) \ (i(x) \ y). (x * i(y)) \ (i(y) \ x) = (y / (y \ x)) * x. ((x / y) / (y * y)) / (x / y) = (x / y) * i(i(x) \ y). (x / y) / ((x / y) * (y * y)) = (x / y) * i(i(x) \ y). (x / y) / (y * ((y \ x) * y)) = (x / y) * i(i(x) \ y). (x / y) / (y * ((x \ y) \ y)) = (x / y) * i(i(x) \ y). (x / y) / (y / (y \ (x \ y))) = (x / y) * i(i(x) \ y). (x / y) / (i(x) \ y) = (x / y) * i(i(x) \ y). (x / y) / (i(x) \ y) = (x / y) * (i(y) * i(x)). (x / y) * (i(y) * i(x)) = (x / y) / (i(x) \ y). ((x / y) * i(i(x) \ y)) * (x / y) = (x / y) / (y * y). ((x / y) * (i(y) * i(x))) * (x / y) = (x / y) / (y * y). ((x / y) / (i(x) \ y)) * (x / y) = (x / y) / (y * y). ((i(x) \ y) / (x / y)) \ (x / y) = (x / y) / (y * y). x \ (i(i(y) \ x) \ ((y \ x) \ x)) = ((y \ x) \ x) * ((y \ x) \ x). x \ ((i(x) * i(y)) \ ((y \ x) \ x)) = ((y \ x) \ x) * ((y \ x) \ x). x \ (y * (y * x)) = ((y \ x) \ x) * ((y \ x) \ x). x \ (y * (y * x)) = (y \ x) \ (((y \ x) / x) \ x). x \ (y * (y * x)) = (y \ x) \ ((x \ (x / y)) \ x). x \ (y * (y * x)) = (y \ x) \ ((x / y) \ (x * x)). x \ (y * (y * x)) = (y \ x) \ (y * x). (x \ y) \ (x * y) = y \ (x * (x * y)). (x / y) / ((y * x) / (y / x)) = i(x) * i(y). i(x) \ (i(y) \ (y / x)) = (x * y) / (x / y). (i(x) \ y) / (((x \ y) \ y) \ y) = (x / (x \ y)) * y. x \ ((y / x) * z) = (x \ y) * (x \ z). (x \ y) * (x \ z) = x \ ((y / x) * z). x * ((x \ y) / ((x \ y) \ x)) = (y / x) * (x \ y). x * ((x \ y) / (y \ (x * x))) = (y / x) * (x \ y). x * ((y \ x) \ (x \ (x \ y))) = (y / x) * (x \ y). (x / (x \ y)) * (i(x) * ((x / (x \ y)) \ z)) = ((x / y) / (x / (x \ y))) * z. (((x \ y) / x) \ (x \ ((x \ y) / x))) * z = ((x / y) / (x / (x \ y))) * z. ((y / x) \ ((x \ y) / x)) * z = ((x / y) / (x / (x \ y))) * z. ((x / y) / (x / (x \ y))) * z = ((y / x) \ ((x \ y) / x)) * z. (x \ (y \ (x * y))) \ (((z \ (z \ (x \ (y \ (x * y))))) / (x \ (y \ (x * y)))) * (z * z)) = y \ (x \ (y * x)). (x \ (y \ (x * y))) \ ((z \ i(z)) * (z * z)) = y \ (x \ (y * x)). (x \ (y \ (x * y))) \ (z \ (i(z) * (z * z))) = y \ (x \ (y * x)). (x \ (y \ (x * y))) \ (z \ (z \ (i(z) \ z))) = y \ (x \ (y * x)). (x \ (y \ (x * y))) \ (z \ (z \ (z * z))) = y \ (x \ (y * x)). (x \ (y \ (x * y))) \ (z \ z) = y \ (x \ (y * x)). (x \ (y \ (x * y))) \ 1 = y \ (x \ (y * x)). i(x \ (y \ (x * y))) = y \ (x \ (y * x)). i(y \ (x * y)) * x = y \ (x \ (y * x)). (i(x * y) * y) * x = y \ (x \ (y * x)). ((y \ i(x)) * y) * x = y \ (x \ (y * x)). ((i(x) \ y) \ y) * x = y \ (x \ (y * x)). (x \ (y \ x)) * y = x \ (y \ (x * y)). x \ (((y / x) / x) * y) = (y \ x) \ (x \ (x \ y)). (x \ y) \ (y \ (y \ x)) = y \ (((x / y) / y) * x). x \ (((y * (x * x)) / x) * y) = (y \ x) \ (x * y). x \ ((i(y) \ x) * y) = (y \ x) \ (x * y). x \ (y * (x * y)) = (y \ x) \ (x * y). (x \ y) \ (y * x) = y \ (x * (y * x)). x \ ((y / x) * (y * x)) = (y \ x) \ (x \ (y * x)). (x \ y) \ (y \ (x * y)) = y \ ((x / y) * (x * y)). x \ ((i(y) / x) * y) = (y * x) \ (x \ y). x \ ((y \ i(x)) * y) = (y * x) \ (x \ y). x \ ((i(x) \ y) \ y) = (y * x) \ (x \ y). x \ (y \ (x \ y)) = (y * x) \ (x \ y). (x * y) \ (y \ x) = y \ (x \ (y \ x)). x \ (((y \ (x * x)) / x) * y) = i(x) * ((x \ y) \ y). x \ ((y \ x) * y) = i(x) * ((x \ y) \ y). x \ ((x \ y) \ y) = i(x) * ((x \ y) \ y). i(x) * ((x \ y) \ y) = x \ ((x \ y) \ y). x \ ((y / x) * i(y)) = (x \ y) / (y * x). x \ (y / (y * x)) = (x \ y) / (y * x). (x \ y) / (y * x) = x \ (y / (y * x)). x \ ((y / x) * (y \ x)) = (y \ x) \ (x \ (y \ x)). (x \ y) \ (y \ (x \ y)) = y \ ((x / y) * (x \ y)). x \ (((y * x) / x) * ((y \ x) \ x)) = (i(y) * x) \ (x \ (y * x)). x \ (y * ((y \ x) \ x)) = (i(y) * x) \ (x \ (y * x)). x \ ((x / y) \ (y * x)) = (i(y) * x) \ (x \ (y * x)). (i(x) * y) \ (y \ (x * y)) = y \ ((y / x) \ (x * y)). x \ (((y * x) / x) * (x \ (y \ x))) = (y \ x) \ (x \ (y \ x)). x \ (y * (x \ (y \ x))) = (y \ x) \ (x \ (y \ x)). x \ (y * (x \ (y \ x))) = x \ ((y / x) * (y \ x)). x \ ((y / x) * (y \ x)) = x \ (y * (x \ (y \ x))). x \ (((i(x) \ y) / x) * y) = (x / y) \ y. x \ ((x / (x / y)) * y) = (x / y) \ y. x \ (x / ((y \ x) / y)) = (x / y) \ y. x \ (((y * x) / x) * (z * x)) = ((i(x) * y) * z) * x. x \ (y * (z * x)) = ((i(x) * y) * z) * x. ((i(x) * y) * z) * x = x \ (y * (z * x)). x * (x \ (((y / x) / x) * y)) = (y / x) * (x \ y). ((x / y) / y) * x = (x / y) * (y \ x). (x \ y) * (i(x) \ y) = x \ (y * (x * y)). i(x) * (y * (x * y)) = x \ (y * (x * y)). (i(x) * y) \ ((x \ y) \ y) = y \ ((x / y) * (x * y)). i(y) \ (x \ (i(y) \ x)) = (y / (y \ x)) * x. i(x) \ ((x \ y) \ y) = (x / (x \ y)) * y. (x * y) \ (x / ((x * y) / x)) = y \ (x / (x * y)). (x * ((y / z) \ z)) * (z \ ((y / z) * (y \ z))) = (x * i(z)) * ((y / z) \ z). (x * ((y / z) \ z)) * (z \ (y * (z \ (y \ z)))) = (x * i(z)) * ((y / z) \ z). (i(x) * y) * (x \ (y * x)) = x \ ((x / y) \ (y * x)). (x \ y) \ (y \ (x \ y)) = y \ (x * (y \ (x \ y))). (i(x / y) \ z) * (y * i(x)) = i(((x / y) / z) / (x / y)). ((y * i(x)) \ z) * (y * i(x)) = i(((x / y) / z) / (x / y)). (z \ (y * i(x))) \ (y * i(x)) = i(((x / y) / z) / (x / y)). (z \ (y * i(x))) \ (y * i(x)) = (x / y) * i((x / y) / z). (z \ (y * i(x))) \ (y * i(x)) = (x / y) * (z * i(x / y)). (z \ (y * i(x))) \ (y * i(x)) = (x / y) * (z * (y * i(x))). (x \ (y * i(z))) \ (y * i(z)) = ((z / y) * x) / (z / y). (x / y) \ (y * z) = y * ((y \ x) \ z). x * ((x \ y) \ z) = (y / x) \ (x * z). (x \ (x / y)) \ ((y * x) * (((y * x) \ x) * z)) = (y * x) * z. (x * y) \ ((x \ (x / y)) * (((x \ (x / y)) \ x) * z)) = (x \ (x / y)) * z. (x * y) \ ((x \ (x / y)) * (((x / y) \ (x * x)) * z)) = (x \ (x / y)) * z. (x * y) \ ((x \ (x / y)) * ((y * x) * z)) = (x \ (x / y)) * z. (x * y) \ ((y * x) * (((y * x) \ x) * z)) = (x \ (x / y)) * z. (x * y) * (x * ((x \ z) * y)) = (z / x) \ ((x * ((x \ z) * y)) * (x * ((x \ z) * y))). (x * y) * (x * ((x \ z) * y)) = (z / x) \ (x * (((x \ z) * y) * (x * ((x \ z) * y)))). (x / y) \ (y * (((y \ x) * z) * (y * ((y \ x) * z)))) = (y * z) * (y * ((y \ x) * z)). ((x / y) \ i(y * ((y \ x) * z))) \ (y * z) = (y * ((y \ x) * z)) * (y * ((y \ x) * z)). ((x / y) \ (((y \ x) * z) \ i(y))) \ (y * z) = (y * ((y \ x) * z)) * (y * ((y \ x) * z)). ((x / y) \ ((y * z) \ (y * i(x)))) \ (y * z) = (y * ((y \ x) * z)) * (y * ((y \ x) * z)). ((x / y) \ ((y * z) \ (y * i(x)))) \ (y * z) = y * (((y \ x) * z) * (y * ((y \ x) * z))). (x / y) \ (y * ((y \ x) / (z * z))) = y * (z \ i(z)). (x / y) \ (y * ((y \ x) / (z * z))) = y / (z * z). x \ ((i(y) \ x) * (((i(y) \ x) \ ((x * y) * x)) * z)) = (i(y) \ x) * z. x \ ((i(y) \ x) * ((x \ (((x \ y) \ y) * x)) * z)) = (i(y) \ x) * z. x \ ((x * y) * (x * z)) = (i(y) \ x) * z. ((x * i(y)) / (x / (y * y))) \ ((x / (y * y)) * (y * z)) = (x / (y * y)) * z. ((y / x) \ i(x / (y * y))) \ ((x / (y * y)) * (y * z)) = (x / (y * y)) * z. ((y / x) \ ((y * y) * i(x))) \ ((x / (y * y)) * (y * z)) = (x / (y * y)) * z. ((y / x) \ (y / (x / y))) \ ((x / (y * y)) * (y * z)) = (x / (y * y)) * z. ((x * y) / x) \ ((x / (y * y)) * (y * z)) = (x / (y * y)) * z. ((x * y) / x) \ (y * (((y \ x) / y) * z)) = (x / (y * y)) * z. (x \ (y / ((x \ y) / x))) * z = (x \ y) * ((y / x) \ (x * z)). ((x \ (x / y)) \ z) \ (x * i(y \ x)) = i(z). ((x \ (x / y)) \ z) \ (x * (i(x) * y)) = i(z). ((x \ (x / y)) \ z) \ (x \ (i(x) \ y)) = i(z). (x * i(y / z)) \ (z * i(y)) = i(((y / z) * x) / (y / z)). (x * (z * i(y))) \ (z * i(y)) = i(((y / z) * x) / (y / z)). (x * (z * i(y))) \ (z * i(y)) = (y / z) * i((y / z) * x). (x * (z * i(y))) \ (z * i(y)) = (y / z) * (x \ i(y / z)). (x * (z * i(y))) \ (z * i(y)) = (y / z) * (x \ (z * i(y))). (x * (y * i(z))) \ (y * i(z)) = ((z / y) / x) / (z / y). ((x \ (y * x)) \ i(z * x)) \ i(u) = ((z * y) * x) / u. ((x \ (y * x)) \ (x \ i(z))) \ i(u) = ((z * y) * x) / u. (x \ (((y * x) / x) \ i(z))) \ i(u) = ((z * y) * x) / u. (x \ (y \ i(z))) \ i(u) = ((z * y) * x) / u. (x \ i(y)) \ (z \ i(u)) = (y * x) / (u * z). (x \ i(y)) \ (z * i(u)) = (y * x) / (u / z). (x \ (i(y) * z)) \ i(u) = ((z \ y) * x) / u. (x \ i(y)) \ (i(z) * u) = (y * x) / (u \ z). (i(x) \ i(x * y)) \ i(z) = (x / (x / y)) / z. (i(x) \ (y \ i(x))) \ i(z) = (x / (x / y)) / z. (x / (x * y)) \ i(z) = (x / (x / y)) / z. ((x * i(y)) \ i(y)) \ i(z) = ((y * x) / y) / z. ((x / y) / x) \ i(z) = ((x * y) / x) / z. (x \ i(x \ y)) \ i(z) = ((y \ x) \ x) / z. (x \ (i(y) * x)) \ i(z) = ((y \ x) \ x) / z. ((x * y) \ y) \ i(z) = ((x \ y) \ y) / z. (i(x) \ (i(x) / y)) \ i(z) = (x * (i(x) * y)) / z. (i(x) \ (x \ i(y))) \ i(z) = (x * (i(x) * y)) / z. (x \ (i(x) \ i(y))) \ i(z) = (x * (i(x) * y)) / z. (x \ (x / y)) \ i(z) = (x * (i(x) * y)) / z. (x \ (x / y)) \ i(z) = (x \ (i(x) \ y)) / z. (x \ (i(x) \ y)) / z = (x \ (x / y)) \ i(z). (x \ i(x / y)) \ i(z) = ((y / x) \ x) / z. (x \ (y * i(x))) \ i(z) = ((y / x) \ x) / z. ((x \ y) / x) \ i(z) = ((y / x) \ x) / z. ((x / y) \ i(x)) \ i(z) = (x / (y / x)) / z. (x / (y * y)) \ i(z) = (y / (x / y)) / z. i(i(x)) * ((y \ i(z)) * i(x)) = ((z * y) / x) \ i(x). x * ((y \ i(z)) * i(x)) = ((z * y) / x) \ i(x). (x * (y \ i(z))) / x = ((z * y) / x) \ i(x). (y / x) \ (i(z) / x) = ((z * y) / x) \ i(x). (y / x) \ (z \ i(x)) = ((z * y) / x) \ i(x). (x / y) \ (z \ i(y)) = y / (y * (z * x)). ((x \ i(y)) \ i(y)) \ i(z) = ((y / x) / y) / z. ((x * y) / x) \ i(z) = ((x / y) / x) / z. (x \ i(y \ x)) \ i(z) = (y \ (x * x)) / z. (x \ (i(x) * y)) \ i(z) = (y \ (x * x)) / z. ((x * x) \ y) \ i(z) = (y \ (x * x)) / z. ((x \ y) \ i(i(y))) \ i(z) = ((x * y) \ y) / z. ((x \ y) \ y) \ i(z) = ((x * y) \ y) / z. ((x / y) \ i(i(y))) \ i(z) = ((y \ x) / y) / z. ((x / y) \ y) \ i(z) = ((y \ x) / y) / z. (i(x) \ i(y / x)) \ i(z) = (y / (x * x)) / z. (i(x) \ (x * i(y))) \ i(z) = (y / (x * x)) / z. ((x * x) * i(y)) \ i(z) = (y / (x * x)) / z. (x / (y / x)) \ i(z) = (y / (x * x)) / z. ((x * y) / z) \ i(u) = (z * (y \ i(x))) / u. (x * (y \ i(z))) / u = ((z * y) / x) \ i(u). x * ((y / x) * (x \ ((x / (x * y)) \ ((y / x) \ i(z))))) = (x / (x / y)) / z. x * (x * ((y / (y / z)) / z)) = x / ((z * (y / (y * z))) / x). ((x * ((x \ y) * z)) * (y / x)) \ (y / x) = x / (x * (z * y)). i(x) \ ((y \ (z * y)) \ i(u * y)) = x / ((u * z) * y). i(x) \ ((y \ (z * y)) \ (y \ i(u))) = x / ((u * z) * y). i(x) \ (y \ (((z * y) / y) \ i(u))) = x / ((u * z) * y). i(x) \ (y \ (z \ i(u))) = x / ((u * z) * y). i(x) \ (y \ (z * i(u))) = x / ((u / z) * y). (i(x) * y) \ (z \ i(u)) = (y \ x) / (u * z). i(x) \ (y \ (i(z) * u)) = x / ((u \ z) * y). i(x) \ (i(y) \ i(y * z)) = x / (y / (y / z)). i(x) \ (i(y) \ (z \ i(y))) = x / (y / (y / z)). i(x) \ (y / (y * z)) = x / (y / (y / z)). i(x) \ ((y * i(z)) \ i(z)) = x / ((z * y) / z). i(x) \ ((y / z) / y) = x / ((y * z) / y). i(x) \ (y \ i(y \ z)) = x / ((z \ y) \ y). i(x) \ (y \ (i(z) * y)) = x / ((z \ y) \ y). i(x) \ ((y * z) \ z) = x / ((y \ z) \ z). i(x) \ (i(y) \ (i(y) / z)) = x / (y * (i(y) * z)). i(x) \ (i(y) \ (y \ i(z))) = x / (y * (i(y) * z)). i(x) \ (y \ (i(y) \ i(z))) = x / (y * (i(y) * z)). i(x) \ (y \ (y / z)) = x / (y * (i(y) * z)). i(x) \ (y \ (y / z)) = x / (y \ (i(y) \ z)). x / (y \ (i(y) \ z)) = i(x) \ (y \ (y / z)). i(x) \ ((y / z) \ i(y)) = x / (y / (z / y)). i(x) \ (y / (z * z)) = x / (z / (y / z)). i(x) \ ((y \ z) \ i(i(z))) = x / ((y * z) \ z). i(x) \ ((y \ z) \ z) = x / ((y * z) \ z). i(x) \ ((y / z) \ i(i(z))) = x / ((z \ y) / z). i(x) \ ((y / z) \ z) = x / ((z \ y) / z). i(x) \ (i(y) \ i(y \ z)) = x / (y \ (z / y)). i(x) \ (i(y) \ (i(z) * y)) = x / (y \ (z / y)). i(x) \ ((y * i(z)) * y) = x / (y \ (z / y)). i(x) \ (y / (y \ z)) = x / (y \ (z / y)). i(x) \ (y \ i(z \ i(z))) = x / ((z * z) \ y). i(x) \ (y \ (i(i(z)) * z)) = x / ((z * z) \ y). i(x) \ (y \ (z * z)) = x / ((z * z) \ y). i(x) \ ((y * z) / u) = x / (u * (z \ i(y))). x / (y * (z \ i(u))) = i(x) \ ((u * z) / y). x / ((x * y) * y) = x * (y \ (y \ i(x))). x * (y \ (y \ i(x))) = x / ((x * y) * y). x / ((x \ y) \ y) = x * ((x * y) \ y). x * ((x * y) \ y) = x / ((x \ y) \ y). i(x / y) \ (y \ (y / x)) = x / (x * y). (x * i(y)) \ (x \ (x / y)) = y / (y * x). x / ((x * y) \ y) = (x / (x \ y)) * y. (x / (x \ y)) * y = x / ((x * y) \ y). i(x * y) \ ((z * y) / x) = (x * ((y * z) * y)) / x. (x \ i(y)) \ ((z * x) / y) = (y * ((x * z) * x)) / y. (i(x) \ (x / y)) \ i(y) = y / ((y * x) * x). i(x) * ((x / y) * (x / ((x \ z) \ z))) = y \ ((x / z) * (i(x) * z)). i(x) * ((i(x) \ y) * (z / ((z \ x) \ x))) = y * (z * ((z * x) \ x)). i(x) * ((i(x) \ y) * (z / ((z \ x) \ x))) = y * (z / ((z \ x) \ x)). (i(x) \ y) / (((x \ y) \ y) \ y) = x / ((x * y) \ y). (x * i(y)) \ (z * i(u)) = (y / x) / (u / z). (x * i(y)) \ (i(z) * u) = (y / x) / (u \ z). (x * i(y \ x)) \ i(z) = (x \ (x / y)) / z. (x * (i(x) * y)) \ i(z) = (x \ (x / y)) / z. (x \ (i(x) \ y)) \ i(z) = (x \ (x / y)) / z. i(x * i(y)) * ((y / x) / z) = ((x * i(y)) * (x * i(y))) \ i(z). (i(y) \ i(x)) * ((y / x) / z) = ((x * i(y)) * (x * i(y))) \ i(z). (y / x) * ((y / x) / z) = ((x * i(y)) * (x * i(y))) \ i(z). (y / x) / (z / (y / x)) = ((x * i(y)) * (x * i(y))) \ i(z). (y / x) / (z / (y / x)) = (x * (i(y) * (x * i(y)))) \ i(z). (y / x) / (z / (y / x)) = (x * (y \ (x / y))) \ i(z). (y / x) / (z / (y / x)) = (x / (y / (y \ x))) \ i(z). (x / (y / (y \ x))) \ i(z) = (y / x) / (z / (y / x)). x \ (y * (x * z)) = (x \ (y * x)) * z. (x \ (y * x)) * z = x \ (y * (x * z)). (x \ i(y)) * (((x \ i(y)) \ 1) * z) = (y * x) * ((x \ i(y)) * z). (x \ i(y)) * (i(x \ i(y)) * z) = (y * x) * ((x \ i(y)) * z). (x \ i(y)) * ((i(i(y)) * x) * z) = (y * x) * ((x \ i(y)) * z). (x \ i(y)) * ((y * x) * z) = (y * x) * ((x \ i(y)) * z). (x \ y) * (((x \ y) \ 1) * z) = (i(y) * x) * ((x \ y) * z). (x \ y) * (i(x \ y) * z) = (i(y) * x) * ((x \ y) * z). (x \ y) * ((i(y) * x) * z) = (i(y) * x) * ((x \ y) * z). (i(x) * y) * ((y \ x) * z) = (y \ x) * ((i(x) * y) * z). i(x) * ((i(x) \ (x \ (y / x))) * z) = (x \ y) * (i(x) * z). i(x) * ((x \ (i(x) \ (y / x))) * z) = (x \ y) * (i(x) * z). i(x) * ((x \ ((x * y) / x)) * z) = (x \ y) * (i(x) * z). i(x) * ((y * i(x)) * z) = (x \ y) * (i(x) * z). (x \ (y \ x)) * (((x \ (y \ x)) \ x) * z) = (i(y) \ x) * ((x \ (y \ x)) * z). (x \ (y \ x)) * (((y \ x) \ (x * x)) * z) = (i(y) \ x) * ((x \ (y \ x)) * z). (x \ (y \ x)) * ((x \ ((y * x) * x)) * z) = (i(y) \ x) * ((x \ (y \ x)) * z). (x \ (y \ x)) * (x \ ((y * x) * (x * z))) = (i(y) \ x) * ((x \ (y \ x)) * z). x \ (((y \ x) / x) * ((y * x) * (x * z))) = (i(y) \ x) * ((x \ (y \ x)) * z). x \ ((x \ (x / y)) * ((y * x) * (x * z))) = (i(y) \ x) * ((x \ (y \ x)) * z). x \ ((y * x) * (((y * x) \ x) * (x * z))) = (i(y) \ x) * ((x \ (y \ x)) * z). x \ ((y * x) * (((y * x) \ x) * (x * z))) = i(y) * ((i(y) \ x) * z). x * (((x \ (y * x)) * (x \ (y * x))) * z) = y * (x * (i(x \ (y * x)) \ z)). x * ((x \ (((y * x) / x) * (y * x))) * z) = y * (x * (i(x \ (y * x)) \ z)). x * ((x \ (y * (y * x))) * z) = y * (x * (i(x \ (y * x)) \ z)). x * ((x \ (y * (y * x))) * z) = y * (x * ((i(y * x) * x) \ z)). x * ((x \ (y * (y * x))) * z) = y * (x * (((x \ i(y)) * x) \ z)). x * ((x \ (y * (y * x))) * z) = y * (x * (((i(y) \ x) \ x) \ z)). x * ((x \ (y * (y * x))) * z) = y * (x * ((x \ (y \ x)) \ z)). x * ((x \ (y * (y * x))) * z) = y * (((y \ x) / x) \ (x * z)). x * ((x \ (y * (y * x))) * z) = y * ((x \ (x / y)) \ (x * z)). x * ((y \ (y / x)) \ (y * z)) = y * ((y \ (x * (x * y))) * z). x \ (y * (i(x) * z)) = (x * x) \ ((i(x) \ (y * i(x))) * z). x \ (y * (i(x) * z)) = (x * x) \ ((x / (x / y)) * z). (x * x) \ ((x / (x / y)) * z) = x \ (y * (i(x) * z)). x \ (y * (x * (i(x) * i(y)))) = y \ (y / x). x \ (y * (x \ (i(x) \ i(y)))) = y \ (y / x). x \ (y * (x \ (x / y))) = y \ (y / x). (x \ y) * (y * ((x \ y) \ z)) = x \ (y * (x * z)). x \ (y * (x * (y \ x))) = x \ ((y * x) * (y \ x)). x \ (y * (x / (x \ y))) = x \ ((y * x) * (y \ x)). x \ ((y * x) * (y \ x)) = x \ (y * (x / (x \ y))). x * ((x \ i(y)) * ((y \ i(x)) \ z)) = y \ (x * (y * z)). (x \ y) \ (y / (y \ x)) = y \ (x * (y / (y \ x))). (x * i(y)) * (y / (y / z)) = (x * z) * i(y). i(x) \ (y * (z \ i(u))) = x / ((u * z) / y). i(x) \ (y * (i(z) * u)) = x / ((u \ z) / y). x / ((x * y) / (y * z)) = (x * y) / ((x * y) / z). (x * y) / ((x * y) / z) = x / ((x * y) / (y * z)). ((x \ (y * z)) * u) * (z \ i(y)) = i(x) * (y / ((y * z) / (z * u))). (i(x) * i(y)) \ (y / (y * x)) = y / ((y * x) / (x * y)). (i(x) \ y) / (x / (x / y)) = x / ((x * y) / (y * x)). ((x \ (y * x)) \ i(z * x)) / u = ((z * y) * x) \ i(u). ((x \ (y * x)) \ (x \ i(z))) / u = ((z * y) * x) \ i(u). (x \ (((y * x) / x) \ i(z))) / u = ((z * y) * x) \ i(u). (x \ (y \ i(z))) / u = ((z * y) * x) \ i(u). (x \ (y * i(z))) / u = ((z / y) * x) \ i(u). (x \ i((y * z) / y)) / u = (y * (z * (y \ x))) \ i(u). (x \ (y * i(y * z))) / u = (y * (z * (y \ x))) \ i(u). (x \ (y * (z \ i(y)))) / u = (y * (z * (y \ x))) \ i(u). (x \ ((y / z) / y)) / u = (y * (z * (y \ x))) \ i(u). (x * (y * (x \ z))) \ i(u) = (z \ ((x / y) / x)) / u. (x \ (i(y) * z)) / u = ((z \ y) * x) \ i(u). (x \ i(i(x) * y)) / z = (x \ (y * x)) \ i(z). (x \ (y \ i(i(x)))) / z = (x \ (y * x)) \ i(z). (x \ (y \ x)) / z = (x \ (y * x)) \ i(z). (x \ (y \ x)) / z = x \ (y \ (x * i(z))). x \ (y \ (x * i(z))) = (x \ (y \ x)) / z. ((x * i(y)) * (x * i(y))) / z = (y / x) \ i(z / (x * i(y))). (x * (i(y) * (x * i(y)))) / z = (y / x) \ i(z / (x * i(y))). (x * (y \ (x / y))) / z = (y / x) \ i(z / (x * i(y))). (x / (y / (y \ x))) / z = (y / x) \ i(z / (x * i(y))). (x / (y / (y \ x))) / z = (y / x) \ i(i(z) \ (y / x)). (x / (y / (y \ x))) / z = (y / x) \ (i(y / x) * i(z)). (x / (y / (y \ x))) / z = (y / x) \ ((x * i(y)) * i(z)). (x / (y / (y \ x))) / z = (y / (x / (x \ y))) \ i(z). (x / (y / (y \ x))) / z = (x / y) / (z / (x / y)). (x / y) * (i(x) * y) = ((x / (x * y)) / (x / y)) * x. (x / y) * (i(x) * y) = ((y / x) \ (x \ (y / x))) * x. (x / y) * (i(x) * y) = (y / x) \ (x \ ((y / x) * x)). (x / y) * (i(x) * y) = (y / x) \ (x \ y). (x / (x / y)) * (x * (x / y)) = ((i(x) \ y) / (x / (x / y))) * x. (x / (x / y)) * (x / (y / x)) = ((i(x) \ y) / (x / (x / y))) * x. (x / (x / y)) * (x / (y / x)) = (x / ((x * y) / (y * x))) * x. (x / (x / y)) * (x / (y / x)) = (((x * y) / (y * x)) / x) \ x. (x / (x \ y)) * (i(x) * (x \ y)) = ((x / y) / (x / (x \ y))) * x. (x / (x \ y)) * ((x * x) \ y) = ((x / y) / (x / (x \ y))) * x. (x / (x \ y)) * ((x * x) \ y) = ((y / x) \ ((x \ y) / x)) * x. ((x / y) \ ((y \ x) / y)) * y = (y / (y \ x)) * ((y * y) \ x). (x / y) \ (((z / (x / y)) * x) * (x / y)) = i(((x / y) \ z) * y) \ (x / y). (x / y) \ (z * ((x / y) \ (x * (x / y)))) = i(((x / y) \ z) * y) \ (x / y). (x / y) \ (z * ((x / y) \ (x / (y / x)))) = i(((x / y) \ z) * y) \ (x / y). (x / y) \ (z * ((y * x) / y)) = i(((x / y) \ z) * y) \ (x / y). (x / y) \ (z * ((y * x) / y)) = (y \ i((x / y) \ z)) \ (x / y). (x / y) \ (z * ((y * x) / y)) = (y \ (i(z) * (x / y))) \ (x / y). (x \ (i(y) * (z / x))) \ (z / x) = (z / x) \ (y * ((x * z) / x)). (i(((x / y) \ z) * y) \ (x / y)) \ ((((x / y) \ z) * y) * ((z / (x / y)) * x)) = ((x / y) \ z) * y. ((y \ i((x / y) \ z)) \ (x / y)) \ ((((x / y) \ z) * y) * ((z / (x / y)) * x)) = ((x / y) \ z) * y. ((y \ (i(z) * (x / y))) \ (x / y)) \ ((((x / y) \ z) * y) * ((z / (x / y)) * x)) = ((x / y) \ z) * y. ((x / y) \ (z * ((y * x) / y))) \ ((((x / y) \ z) * y) * ((z / (x / y)) * x)) = ((x / y) \ z) * y. (i(((x / y) \ z) * y) \ (x / y)) * (((x / y) \ z) * y) = (((x / y) \ z) * y) * ((z / (x / y)) * x). ((y \ i((x / y) \ z)) \ (x / y)) * (((x / y) \ z) * y) = (((x / y) \ z) * y) * ((z / (x / y)) * x). ((y \ (i(z) * (x / y))) \ (x / y)) * (((x / y) \ z) * y) = (((x / y) \ z) * y) * ((z / (x / y)) * x). ((x / y) \ (z * ((y * x) / y))) * (((x / y) \ z) * y) = (((x / y) \ z) * y) * ((z / (x / y)) * x). i(x) * ((x / y) * (x / ((x \ z) \ z))) = y \ ((z / x) \ (x \ z)). i(x) * ((y / x) \ (x \ y)) = (x * y) \ y. (i((x * i(y)) \ z) \ (y / x)) / i(z) = ((x * i(y)) \ z) * ((x * i(y)) \ z). ((i(z) * (x * i(y))) \ (y / x)) / i(z) = ((x * i(y)) \ z) * ((x * i(y)) \ z). ((y / x) / ((y / x) \ i(z))) / i(z) = ((x * i(y)) \ z) * ((x * i(y)) \ z). (i(y / x) \ (z * (y / x))) / i(z) = ((x * i(y)) \ z) * ((x * i(y)) \ z). ((x * i(y)) \ (z * (y / x))) / i(z) = ((x * i(y)) \ z) * ((x * i(y)) \ z). (((y / x) * z) * (y / x)) / i(z) = ((x * i(y)) \ z) * ((x * i(y)) \ z). i(((y / x) * z) * (y / x)) \ z = ((x * i(y)) \ z) * ((x * i(y)) \ z). ((y / x) \ i((y / x) * z)) \ z = ((x * i(y)) \ z) * ((x * i(y)) \ z). ((y / x) \ (z \ i(y / x))) \ z = ((x * i(y)) \ z) * ((x * i(y)) \ z). ((y / x) \ (z \ (x * i(y)))) \ z = ((x * i(y)) \ z) * ((x * i(y)) \ z). ((y / x) \ (z \ (x * i(y)))) \ z = (x * i(y)) \ ((z / (x * i(y))) * z). ((y / x) \ (z \ (x * i(y)))) \ z = (x * i(y)) \ ((i(z) \ (y / x)) * z). ((x / y) \ (z \ (y * i(x)))) \ z = (y * i(x)) \ (z * ((x / y) * z)). (y * i(x)) \ ((y * z) * ((x / y) * (y * z))) = y * (((y \ x) * z) * (y * ((y \ x) * z))). (x * i(y)) \ ((x * z) * (x * ((x \ y) * z))) = x * (((x \ y) * z) * (x * ((x \ y) * z))). ((x \ y) * i(z)) / (x \ y) = i(x \ y) \ (z \ (i(y) * x)). (z / (x \ y)) \ i(x \ y) = i(x \ y) \ (z \ (i(y) * x)). (z / (x \ y)) \ (i(y) * x) = i(x \ y) \ (z \ (i(y) * x)). (x \ y) / ((x \ y) * z) = i(x \ y) \ (z \ (i(y) * x)). (x \ y) / ((x \ y) * z) = (i(y) * x) \ (z \ (i(y) * x)). (i(x) * y) \ (z \ (i(x) * y)) = (y \ x) / ((y \ x) * z). (x * (x * x)) * ((((x * x) * x) \ y) * (x \ (z * x))) = (y / ((x * x) * x)) * (((x * x) * z) * x). (x * (x * x)) * (((x * (x * x)) \ y) * (x \ (z * x))) = (y / ((x * x) * x)) * (((x * x) * z) * x). x * ((x * x) * (((x * (x * x)) \ y) * (x \ (z * x)))) = (y / ((x * x) * x)) * (((x * x) * z) * x). x * ((x * x) * (((x * (x * x)) \ y) * (x \ (z * x)))) = (y / (x * (x * x))) * (((x * x) * z) * x). x * ((x * x) * (((x * (x * x)) \ y) * (x \ (z * x)))) = (y / (x * (x * x))) * (x * ((x * z) * x)). (x * (y * y)) * (i(y) * ((y * y) \ (z * (y * y)))) = ((x * y) / (x * (y * y))) * ((x * z) * (y * y)). (x * (y * y)) * (i(y) * (y \ (y \ ((z * y) * y)))) = ((x * y) / (x * (y * y))) * ((x * z) * (y * y)). (x * (y * y)) * ((z \ (y / (i(y) / y))) \ (y * y)) = ((x * y) / (x * (y * y))) * ((x * z) * (y * y)). (x * (y * y)) * ((z \ (y / (y \ i(y)))) \ (y * y)) = ((x * y) / (x * (y * y))) * ((x * z) * (y * y)). (x * (y * y)) * ((z \ (i(y) \ (y * y))) \ (y * y)) = ((x * y) / (x * (y * y))) * ((x * z) * (y * y)). (x * (y * y)) * ((z \ ((y * y) * y)) \ (y * y)) = ((x * y) / (x * (y * y))) * ((x * z) * (y * y)). (x * (y * y)) * ((z \ (y * (y * y))) \ (y * y)) = ((x * y) / (x * (y * y))) * ((x * z) * (y * y)). (x * (y * y)) * ((z \ (y * (y * y))) \ (y * y)) = ((y / x) \ ((y / y) / x)) * ((x * z) * (y * y)). (x * (y * y)) * ((z \ (y * (y * y))) \ (y * y)) = ((y / x) \ (1 / x)) * ((x * z) * (y * y)). (x * (y * y)) * ((z \ (y * (y * y))) \ (y * y)) = ((y / x) \ i(x)) * ((x * z) * (y * y)). (x * (y * y)) * ((z \ (y * (y * y))) \ (y * y)) = (x / (x * y)) * ((x * z) * (y * y)). (x / (x * y)) * ((x * z) * (y * y)) = (x * (y * y)) * ((z \ (y * (y * y))) \ (y * y)). (x * x) * (((x * x) \ (y * x)) * (x \ (z * x))) = (y * i(x)) * ((x * z) * x). (x * x) * ((x \ ((x \ y) * x)) * (x \ (z * x))) = (y * i(x)) * ((x * z) * x). (x * x) * ((x \ ((y \ x) \ x)) * (x \ (z * x))) = (y * i(x)) * ((x * z) * x). (x * x) * (x \ ((((y \ x) \ x) / x) * (z * x))) = (y * i(x)) * ((x * z) * x). (x * x) * (x \ ((x \ (x / (y \ x))) * (z * x))) = (y * i(x)) * ((x * z) * x). (x * x) * (x \ ((x \ y) * (z * x))) = (y * i(x)) * ((x * z) * x). i(x) \ ((x \ y) * (z * x)) = (y * i(x)) * ((x * z) * x). (x * i(y)) * ((y * z) * y) = i(y) \ ((y \ x) * (z * y)). i(x) \ (x * (((x * x) \ y) * (x \ (z * x)))) = (y / (x * x)) * ((x * z) * x). i(x) \ ((x \ (y / x)) * (z * x)) = (y / (x * x)) * ((x * z) * x). ((x * i(y)) * z) \ i(u) = (z \ (y / x)) / u. ((i(x) * y) * z) \ i(u) = (z \ (y \ x)) / u. (i(x) * y) \ (i(z) * u) = (y \ x) / (u \ z). i(x) \ ((y \ i(z)) * u) = x / (u \ (z * y)). i(x) \ ((y * i(z)) * u) = x / (u \ (z / y)). (x / (y \ z)) / ((i(z) * y) * (i(z) * y)) = i(x) \ i(i(z) * y). (x / (y \ z)) / (i(z) * (y * (i(z) * y))) = i(x) \ i(i(z) * y). (x / (y \ z)) / (i(z) * ((z / y) \ y)) = i(x) \ i(i(z) * y). (x / (y \ z)) / (z \ ((z / y) \ y)) = i(x) \ i(i(z) * y). (x / (y \ z)) / (z \ ((z / y) \ y)) = i(x) \ (y \ i(i(z))). (x / (y \ z)) / (z \ ((z / y) \ y)) = i(x) \ (y \ z). ((x \ i(y)) * z) / u = (z \ (y * x)) \ i(u). ((x * i(y)) * z) / u = (z \ (y / x)) \ i(u). (((x \ i(y)) * z) \ u) \ (z \ (y * x)) = i(u). (x \ i(y)) * ((y * x) * z) = i((y * x) \ ((y * x) / z)). (y * x) * ((x \ i(y)) * z) = i((y * x) \ ((y * x) / z)). (y * x) * ((x \ i(y)) * z) = i((y * x) / z) * (y * x). (y * x) * ((x \ i(y)) * z) = (z * i(y * x)) * (y * x). (y * x) * ((x \ i(y)) * z) = (z * (x \ i(y))) * (y * x). (y * x) * ((x \ i(y)) * z) = (z * (y * x)) * (x \ i(y)). (x * (y * z)) * (z \ i(y)) = (y * z) * ((z \ i(y)) * x). (i(x) / y) \ (y * i(z)) = y * ((x * y) / z). (x \ i(y)) \ (y * i(z)) = y * ((x * y) / z). (y * x) / (z / y) = y * ((x * y) / z). x * ((y * x) / z) = (x * y) / (z / x). (x * (y \ i(z))) * (z * y) = (z * y) * ((y \ i(z)) * x). (i(x) * y) * ((y \ x) * z) = i((y \ x) \ ((y \ x) / z)). (y \ x) * ((i(x) * y) * z) = i((y \ x) \ ((y \ x) / z)). (y \ x) * ((i(x) * y) * z) = i((y \ x) / z) * (y \ x). (y \ x) * ((i(x) * y) * z) = (z * i(y \ x)) * (y \ x). (y \ x) * ((i(x) * y) * z) = (z * (i(x) * y)) * (y \ x). (y \ x) * ((i(x) * y) * z) = (z * (y \ x)) * (i(x) * y). (x * (y \ z)) * (i(z) * y) = (y \ z) * ((i(z) * y) * x). x / ((y \ (z * y)) \ i(u * y)) = i(x) \ ((u * z) * y). x / ((y \ (z * y)) \ (y \ i(u))) = i(x) \ ((u * z) * y). x / (y \ (((z * y) / y) \ i(u))) = i(x) \ ((u * z) * y). x / (y \ (z \ i(u))) = i(x) \ ((u * z) * y). x / (y \ (i(z) * u)) = i(x) \ ((u \ z) * y). i(x * (y * i(z))) \ (z / x) = (x * y) / x. ((y * i(z)) \ i(x)) \ (z / x) = (x * y) / x. ((x / y) / z) \ (x / z) = (z * y) / z. x / ((y \ i(z)) * u) = i(x) \ (u \ (z * y)). x / ((y * i(z)) * u) = i(x) \ (u \ (z / y)). x / ((i(y) * z) * u) = i(x) \ (u \ (z \ y)). ((i(x) * y) \ x) * ((((y / x) \ x) * x) \ x) = 1. ((i(x) * y) \ x) * (((y / x) \ (x * x)) \ x) = 1. ((i(x) * y) \ x) * (x \ (x \ ((y / x) * x))) = 1. ((i(x) * y) \ x) * (x \ (x \ y)) = 1. (x \ y) * ((((x \ y) \ y) * ((x \ y) \ y)) * z) = x * ((x \ y) * (i((x \ y) \ y) \ z)). (x \ y) * (((x \ y) \ ((y / (x \ y)) * y)) * z) = x * ((x \ y) * (i((x \ y) \ y) \ z)). (x \ y) * (((x \ y) \ (x * y)) * z) = x * ((x \ y) * (i((x \ y) \ y) \ z)). (x \ y) * ((y \ (x * (x * y))) * z) = x * ((x \ y) * (i((x \ y) \ y) \ z)). (x \ y) * ((y \ (x * (x * y))) * z) = x * ((x \ y) * ((i(y) * (x \ y)) \ z)). (x \ y) * ((y \ (x * (x * y))) * z) = x * ((x \ y) * (((x * y) \ y) \ z)). (x \ i(y)) * (((y * x) / y) * z) = x * ((x \ i(y)) * z). (x \ i(y)) * (y * (x * (y \ z))) = x * ((x \ i(y)) * z). y * ((y \ i(x)) * (x * (y \ z))) = x * ((x \ i(y)) * z). x * (y * ((y \ i(x)) * (x \ z))) = y * ((y \ i(x)) * z). ((i(x) * y) * (i(x) * y)) \ i(i(x) * y) = (i(x) * y) \ ((y \ x) / (i(x) * y)). (i(x) * (y * (i(x) * y))) \ i(i(x) * y) = (i(x) * y) \ ((y \ x) / (i(x) * y)). (i(x) * ((x / y) \ y)) \ i(i(x) * y) = (i(x) * y) \ ((y \ x) / (i(x) * y)). (x \ ((x / y) \ y)) \ i(i(x) * y) = (i(x) * y) \ ((y \ x) / (i(x) * y)). (x \ ((x / y) \ y)) \ (y \ i(i(x))) = (i(x) * y) \ ((y \ x) / (i(x) * y)). (x \ ((x / y) \ y)) \ (y \ x) = (i(x) * y) \ ((y \ x) / (i(x) * y)). (x \ ((x / y) \ y)) \ (y \ x) = (i(x) * y) \ (i(y \ x) \ (y \ x)). (x \ ((x / y) \ y)) \ (y \ x) = (i(x) * y) \ ((i(x) * y) \ (y \ x)). (x \ ((x / y) \ y)) \ (y \ x) = (i(x) * y) \ (y \ ((y / x) \ x)). (i(x) * y) \ (y \ ((y / x) \ x)) = (x \ ((x / y) \ y)) \ (y \ x). (x \ y) * (i(x \ y) * i(y)) = (1 / (x \ y)) * i(x). (x \ y) * ((i(y) * x) * i(y)) = (1 / (x \ y)) * i(x). (x \ y) * ((y \ x) / y) = (1 / (x \ y)) * i(x). (x \ y) * ((y \ x) / y) = i(x \ y) * i(x). (x \ y) * ((y \ x) / y) = (i(y) * x) * i(x). (x \ y) * ((y \ x) / y) = x \ (i(x) \ i(y)). (x \ y) * ((y \ x) / y) = x \ (x / y). ((((x \ y) \ z) * i(y)) / (x \ y)) \ i(x \ y) = (x \ y) / ((z / (x \ y)) * i(x)). ((y / ((x \ y) \ z)) \ i(x \ y)) \ i(x \ y) = (x \ y) / ((z / (x \ y)) * i(x)). ((y / ((x \ y) \ z)) \ (i(y) * x)) \ i(x \ y) = (x \ y) / ((z / (x \ y)) * i(x)). ((y / ((x \ y) \ z)) \ (i(y) * x)) \ (i(y) * x) = (x \ y) / ((z / (x \ y)) * i(x)). ((x \ y) * (y / ((x \ y) \ z))) / (x \ y) = (x \ y) / ((z / (x \ y)) * i(x)). ((x \ y) * y) / ((x \ y) * ((x \ y) \ z)) = (x \ y) / ((z / (x \ y)) * i(x)). (x \ (y * y)) / ((x \ y) * ((x \ y) \ z)) = (x \ y) / ((z / (x \ y)) * i(x)). (x \ (y * y)) / z = (x \ y) / ((z / (x \ y)) * i(x)). (x \ (y * y)) / z = i(x \ y) \ (x / (z / (x \ y))). (x \ (y * y)) / z = (i(y) * x) \ (x / (z / (x \ y))). (i(x) * y) \ (y / (z / (y \ x))) = (y \ (x * x)) / z. x * ((((x \ (x / y)) \ (y \ x)) \ z) * i(y \ x)) = (z / ((x \ (x / y)) \ (y \ x))) * i(x \ (x / y)). x * ((x \ z) * i(y \ x)) = (z / ((x \ (x / y)) \ (y \ x))) * i(x \ (x / y)). x * ((x \ z) * (i(x) * y)) = (z / ((x \ (x / y)) \ (y \ x))) * i(x \ (x / y)). x * ((x \ z) * (i(x) * y)) = (z / x) * i(x \ (x / y)). x * ((x \ z) * (i(x) * y)) = (z / x) * (i(x / y) * x). x * ((x \ z) * (i(x) * y)) = (z / x) * ((y * i(x)) * x). x * ((x \ z) * (i(x) * y)) = (z / x) * (x \ (i(x) \ y)). (x / y) * (y \ (i(y) \ z)) = y * ((y \ x) * (i(y) * z)). (i(x) \ y) * (x * i(y)) = ((x * (y * x)) / (i(x) \ y)) * i(i(x)). x * ((y * x) * i(y)) = ((x * (y * x)) / (i(x) \ y)) * i(i(x)). x * (y / (y / x)) = ((x * (y * x)) / (i(x) \ y)) * i(i(x)). x * (y / (y / x)) = ((x * y) / (x / (x / y))) * i(i(x)). x * (y / (y / x)) = ((x * y) / (x / (x / y))) * x. ((x * y) / (x / (x / y))) * x = x * (y / (y / x)). i(x) * ((((x * (y * x)) \ (x * y)) \ z) * i(x * y)) = (z / ((x * (y * x)) \ (x * y))) * i(x * (y * x)). i(x) * ((i(x) \ z) * i(x * y)) = (z / ((x * (y * x)) \ (x * y))) * i(x * (y * x)). i(x) * ((i(x) \ z) * (y \ i(x))) = (z / ((x * (y * x)) \ (x * y))) * i(x * (y * x)). i(x) * ((i(x) \ z) * (y \ i(x))) = (z / i(x)) * i(x * (y * x)). i(x) * ((i(x) \ z) * (y \ i(x))) = (i(z) \ x) * i(x * (y * x)). i(x) * ((i(x) \ y) * (z \ i(x))) = (i(y) \ x) * ((z * x) \ i(x)). (i(i(x)) * y) * (i(x) \ (y * i(x))) = i(i(i(x)) * y) \ ((i(i(x)) * y) / x). (x * y) * (i(x) \ (y * i(x))) = i(i(i(x)) * y) \ ((i(i(x)) * y) / x). (x * y) * (x / (x / y)) = i(i(i(x)) * y) \ ((i(i(x)) * y) / x). (x * y) * (x / (x / y)) = i(x * y) \ ((i(i(x)) * y) / x). (x * y) * (x / (x / y)) = (y \ i(x)) \ ((i(i(x)) * y) / x). (x * y) * (x / (x / y)) = (y \ i(x)) \ ((x * y) / x). (x * y) * (x / (x / y)) = (x * ((y * x) * y)) / x. (x / y) * (x / (x * y)) = i(x / y) \ ((x / y) / x). (x / y) * (x / (x * y)) = (