%------------------------------------------------------------------------------ % File : Metis---2.4 % Problem : CAT001-10 : TPTP v8.1.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : metis --show proof --show saturation %s % Computer : n025.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Fri Jul 15 00:04:30 EDT 2022 % Result : Satisfiable 3.05s 3.27s % Output : Saturation 3.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : CAT001-10 : TPTP v8.1.0. Released v7.5.0. % 0.10/0.13 % Command : metis --show proof --show saturation %s % 0.14/0.34 % Computer : n025.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Sun May 29 17:36:56 EDT 2022 % 0.14/0.34 % CPUTime : % 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % 3.05/3.27 % SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 3.05/3.27 % 3.05/3.27 SZS output start Saturation for /export/starexec/sandbox/benchmark/theBenchmark.p % 3.05/3.27 |- ifeq $A $A $B $C = $B % 3.05/3.27 |- codomain (domain $X) = domain $X % 3.05/3.27 |- domain (codomain $X) = codomain $X % 3.05/3.27 |- compose (domain $X) $X = $X % 3.05/3.27 |- compose $X (codomain $X) = $X % 3.05/3.27 |- ifeq (codomain $X) (domain $Y) (domain (compose $X $Y)) (domain $X) = % 3.05/3.27 domain $X % 3.05/3.27 |- ifeq (codomain $X) (domain $Y) (codomain (compose $X $Y)) % 3.05/3.27 (codomain $Y) = codomain $Y % 3.05/3.27 |- ifeq (codomain $Y) (domain $Z) % 3.05/3.27 (ifeq (codomain $X) (domain $Y) (compose $X (compose $Y $Z)) % 3.05/3.27 (compose (compose $X $Y) $Z)) (compose (compose $X $Y) $Z) = % 3.05/3.27 compose (compose $X $Y) $Z % 3.05/3.27 |- ifeq (codomain $Z) (domain a) % 3.05/3.27 (ifeq (codomain $X) (domain a) % 3.05/3.27 (ifeq (compose $Z (compose a b)) $Y % 3.05/3.27 (ifeq (compose $X (compose a b)) $Y $X $Z) $Z) $Z) $Z = $Z % 3.05/3.27 |- codomain a = domain b % 3.05/3.27 |- codomain a = domain h % 3.05/3.27 |- codomain a = domain g % 3.05/3.27 |- compose a h = compose a g % 3.05/3.27 |- ~(h = g) % 3.05/3.27 |- codomain (codomain $_1) = codomain $_1 % 3.05/3.27 |- domain (domain $X) = domain $X % 3.05/3.27 |- compose (codomain a) b = b % 3.05/3.27 |- compose (codomain $X) (codomain $X) = codomain $X % 3.05/3.27 |- compose (codomain a) g = g % 3.05/3.28 |- compose (codomain a) h = h % 3.05/3.28 |- compose (domain $X) (domain $X) = domain $X % 3.05/3.28 |- ifeq (codomain b) (domain $_12) (domain (compose b $_12)) (codomain a) = % 3.05/3.28 codomain a % 3.05/3.28 |- ifeq (codomain $X) (domain $_12) (domain (compose (codomain $X) $_12)) % 3.05/3.28 (codomain $X) = codomain $X % 3.05/3.28 |- ifeq (domain $X) (domain $_12) (domain (compose (domain $X) $_12)) % 3.05/3.28 (domain $X) = domain $X % 3.05/3.28 |- ifeq (codomain g) (domain $_12) (domain (compose g $_12)) (codomain a) = % 3.05/3.28 codomain a % 3.05/3.28 |- ifeq (codomain g) (domain $_12) (domain (compose h $_12)) (codomain a) = % 3.05/3.28 codomain a % 3.05/3.28 |- domain (compose a g) = domain a % 3.05/3.28 |- ifeq (codomain $_11) (codomain a) (domain (compose $_11 b)) % 3.05/3.28 (domain $_11) = domain $_11 % 3.05/3.28 |- ifeq (codomain $_11) (codomain $X) (domain (compose $_11 (codomain $X))) % 3.05/3.28 (domain $_11) = domain $_11 % 3.05/3.28 |- ifeq (codomain $_11) (domain $X) (domain (compose $_11 (domain $X))) % 3.05/3.28 (domain $_11) = domain $_11 % 3.05/3.28 |- ifeq (codomain $_11) (codomain a) (domain (compose $_11 g)) % 3.05/3.28 (domain $_11) = domain $_11 % 3.05/3.28 |- ifeq (codomain $_11) (codomain a) (domain (compose $_11 h)) % 3.05/3.28 (domain $_11) = domain $_11 % 3.05/3.28 |- ifeq (codomain $X) (domain a) (domain (compose $X (compose a g))) % 3.05/3.28 (domain $X) = domain $X % 3.05/3.28 |- ifeq (codomain g) (domain $Y) (domain (compose (compose a g) $Y)) % 3.05/3.28 (domain a) = domain a % 3.05/3.28 |- compose (domain a) (compose a g) = compose a g % 3.05/3.28 |- ifeq (codomain $_13) (codomain $_1) % 3.05/3.28 (codomain (compose $_13 (codomain $_1))) (codomain $_1) = codomain $_1 % 3.05/3.28 |- ifeq (codomain $_13) (domain $X) (codomain (compose $_13 (domain $X))) % 3.05/3.28 (domain $X) = domain $X % 3.05/3.28 |- codomain (compose a g) = codomain g % 3.05/3.28 |- ifeq (codomain $_13) (codomain a) (codomain (compose $_13 b)) % 3.05/3.28 (codomain b) = codomain b % 3.05/3.28 |- ifeq (codomain $_13) (domain a) (codomain (compose $_13 (compose a g))) % 3.05/3.28 (codomain g) = codomain g % 3.05/3.28 |- ifeq (codomain $_13) (codomain a) (codomain (compose $_13 g)) % 3.05/3.28 (codomain g) = codomain g % 3.05/3.28 |- ifeq (codomain $_13) (codomain a) (codomain (compose $_13 h)) % 3.05/3.28 (codomain g) = codomain g % 3.05/3.28 |- ifeq (codomain $_1) (domain $_14) % 3.05/3.28 (codomain (compose (codomain $_1) $_14)) (codomain $_14) = % 3.05/3.28 codomain $_14 % 3.05/3.28 |- ifeq (domain $X) (domain $_14) (codomain (compose (domain $X) $_14)) % 3.05/3.28 (codomain $_14) = codomain $_14 % 3.05/3.28 |- ifeq (codomain g) (domain $Y) (codomain (compose (compose a g) $Y)) % 3.05/3.28 (codomain $Y) = codomain $Y % 3.05/3.28 |- compose (compose a g) (codomain g) = compose a g % 3.05/3.28 |- codomain h = codomain g % 3.05/3.28 |- ifeq (codomain g) (domain $Y) (codomain (compose h $Y)) (codomain $Y) = % 3.05/3.28 codomain $Y % 3.05/3.28 |- compose h (codomain g) = h % 3.05/3.28 |- ifeq (codomain b) (codomain a) (domain (compose b g)) (codomain a) = % 3.05/3.28 codomain a % 3.05/3.28 |- ifeq (codomain $X) (codomain a) (domain (compose (codomain $X) g)) % 3.05/3.28 (codomain $X) = codomain $X % 3.05/3.28 |- ifeq (codomain g) (codomain a) (domain (compose (compose a g) g)) % 3.05/3.28 (domain a) = domain a % 3.05/3.28 |- ifeq (domain $X) (codomain a) (domain (compose (domain $X) g)) % 3.05/3.28 (domain $X) = domain $X % 3.05/3.28 |- ifeq (codomain g) (codomain a) (domain (compose g g)) (codomain a) = % 3.05/3.28 codomain a % 3.05/3.28 |- ifeq (codomain g) (codomain a) (domain (compose h g)) (codomain a) = % 3.05/3.28 codomain a % 3.05/3.28 |- ifeq (codomain b) (codomain a) (domain (compose b h)) (codomain a) = % 3.05/3.28 codomain a % 3.05/3.28 |- ifeq (codomain $X) (codomain a) (domain (compose (codomain $X) h)) % 3.05/3.28 (codomain $X) = codomain $X % 3.05/3.28 |- ifeq (codomain g) (codomain a) (domain (compose (compose a g) h)) % 3.05/3.28 (domain a) = domain a % 3.05/3.28 |- ifeq (domain $X) (codomain a) (domain (compose (domain $X) h)) % 3.05/3.28 (domain $X) = domain $X % 3.05/3.28 |- ifeq (codomain g) (codomain a) (domain (compose g h)) (codomain a) = % 3.05/3.28 codomain a % 3.05/3.28 |- ifeq (codomain g) (codomain a) (domain (compose h h)) (codomain a) = % 3.05/3.28 codomain a % 3.05/3.28 |- codomain b = codomain (compose a b) % 3.05/3.28 |- ifeq (codomain $_1) (codomain a) (codomain (compose (codomain $_1) b)) % 3.05/3.28 (codomain b) = codomain b % 3.05/3.28 |- ifeq (codomain g) (codomain a) (codomain (compose (compose a g) b)) % 3.05/3.28 (codomain b) = codomain b % 3.05/3.28 |- ifeq (domain $X) (codomain a) (codomain (compose (domain $X) b)) % 3.05/3.28 (codomain b) = codomain b % 3.05/3.28 |- ifeq (codomain g) (codomain a) (codomain (compose h b)) (codomain b) = % 3.05/3.28 codomain b % 3.05/3.28 |- ifeq (codomain b) (codomain a) (codomain (compose (compose a b) b)) % 3.05/3.28 (codomain b) = codomain b % 3.05/3.28 |- ifeq (codomain b) (codomain a) (domain (compose (compose a b) h)) % 3.05/3.28 (domain a) = domain a % 3.05/3.28 |- ifeq (codomain b) (codomain a) (domain (compose (compose a b) g)) % 3.05/3.28 (domain a) = domain a % 3.05/3.28 |- ifeq (codomain b) (domain $Y) (codomain (compose (compose a b) $Y)) % 3.05/3.28 (codomain $Y) = codomain $Y % 3.05/3.28 |- ifeq (codomain $X) (domain a) (codomain (compose $X (compose a b))) % 3.05/3.28 (codomain b) = codomain b % 3.05/3.28 |- ifeq (codomain b) (domain $Y) (domain (compose (compose a b) $Y)) % 3.05/3.28 (domain a) = domain a % 3.05/3.28 |- compose (compose a b) (codomain b) = compose a b % 3.05/3.28 |- ifeq (codomain $_1) (codomain a) (codomain (compose (codomain $_1) g)) % 3.05/3.28 (codomain g) = codomain g % 3.05/3.28 |- ifeq (codomain b) (codomain a) (codomain (compose (compose a b) g)) % 3.05/3.28 (codomain g) = codomain g % 3.05/3.28 |- ifeq (codomain g) (codomain a) (codomain (compose (compose a g) g)) % 3.05/3.28 (codomain g) = codomain g % 3.05/3.28 |- ifeq (domain $X) (codomain a) (codomain (compose (domain $X) g)) % 3.05/3.28 (codomain g) = codomain g % 3.05/3.28 |- ifeq (codomain g) (codomain a) (codomain (compose h g)) (codomain g) = % 3.05/3.28 codomain g % 3.05/3.28 |- ifeq (codomain $_1) (codomain a) (codomain (compose (codomain $_1) h)) % 3.05/3.28 (codomain g) = codomain g % 3.05/3.28 |- ifeq (codomain b) (codomain a) (codomain (compose (compose a b) h)) % 3.05/3.28 (codomain g) = codomain g % 3.05/3.28 |- ifeq (codomain g) (codomain a) (codomain (compose (compose a g) h)) % 3.05/3.28 (codomain g) = codomain g % 3.05/3.28 |- ifeq (domain $X) (codomain a) (codomain (compose (domain $X) h)) % 3.05/3.28 (codomain g) = codomain g % 3.05/3.28 |- ifeq (codomain g) (codomain a) (codomain (compose h h)) (codomain g) = % 3.05/3.28 codomain g % 3.05/3.28 |- ifeq (codomain b) (codomain a) (domain (compose b b)) (codomain a) = % 3.05/3.28 codomain a % 3.05/3.28 |- ifeq (codomain b) (codomain $X) (domain (compose b (codomain $X))) % 3.05/3.28 (codomain a) = codomain a % 3.05/3.28 |- ifeq (codomain b) (domain a) (domain (compose b (compose a g))) % 3.05/3.28 (codomain a) = codomain a % 3.05/3.28 |- ifeq (codomain b) (domain $X) (domain (compose b (domain $X))) % 3.05/3.28 (codomain a) = codomain a % 3.05/3.28 |- ifeq (codomain g) (codomain a) (domain (compose g b)) (codomain a) = % 3.05/3.28 codomain a % 3.05/3.28 |- ifeq (codomain g) (codomain $X) (domain (compose g (codomain $X))) % 3.05/3.28 (codomain a) = codomain a % 3.05/3.28 |- ifeq (codomain g) (domain a) (domain (compose g (compose a g))) % 3.05/3.28 (codomain a) = codomain a % 3.05/3.28 |- ifeq (codomain g) (domain $X) (domain (compose g (domain $X))) % 3.05/3.28 (codomain a) = codomain a % 3.05/3.28 |- ifeq (codomain g) (codomain a) (domain (compose h b)) (codomain a) = % 3.05/3.28 codomain a % 3.05/3.28 |- ifeq (codomain g) (codomain $X) (domain (compose h (codomain $X))) % 3.05/3.28 (codomain a) = codomain a % 3.05/3.28 |- ifeq (codomain g) (domain a) (domain (compose h (compose a g))) % 3.05/3.28 (codomain a) = codomain a % 3.05/3.28 |- ifeq (codomain g) (domain $X) (domain (compose h (domain $X))) % 3.05/3.28 (codomain a) = codomain a % 3.05/3.28 |- ifeq (codomain $_1) (domain a) % 3.05/3.28 (codomain (compose (codomain $_1) (compose a g))) (codomain g) = % 3.05/3.28 codomain g % 3.05/3.29 |- ifeq (codomain b) (domain a) % 3.05/3.29 (codomain (compose (compose a b) (compose a g))) (codomain g) = % 3.05/3.29 codomain g % 3.05/3.29 |- ifeq (codomain g) (domain a) % 3.05/3.29 (codomain (compose (compose a g) (compose a g))) (codomain g) = % 3.05/3.29 codomain g % 3.05/3.29 |- ifeq (domain $X) (domain a) % 3.05/3.29 (codomain (compose (domain $X) (compose a g))) (codomain g) = % 3.05/3.29 codomain g % 3.05/3.29 |- ifeq (codomain g) (domain a) (codomain (compose h (compose a g))) % 3.05/3.29 (codomain g) = codomain g % 3.05/3.29 |- domain a = domain (compose a b) % 3.05/3.29 |- ifeq (codomain $X) (codomain a) (domain (compose (codomain $X) b)) % 3.05/3.29 (codomain $X) = codomain $X % 3.05/3.29 |- ifeq (codomain g) (codomain a) (domain (compose (compose a g) b)) % 3.05/3.29 (domain a) = domain a % 3.05/3.29 |- ifeq (domain $X) (codomain a) (domain (compose (domain $X) b)) % 3.05/3.29 (domain $X) = domain $X % 3.05/3.29 |- ifeq (codomain b) (codomain a) (domain (compose (compose a b) b)) % 3.05/3.29 (domain a) = domain a % 3.05/3.29 |- ifeq (codomain g) (domain a) (domain (compose h (compose a b))) % 3.05/3.29 (codomain a) = codomain a % 3.05/3.29 |- ifeq (codomain g) (domain a) (domain (compose g (compose a b))) % 3.05/3.29 (codomain a) = codomain a % 3.05/3.29 |- ifeq (codomain b) (domain a) (domain (compose b (compose a b))) % 3.05/3.29 (codomain a) = codomain a % 3.05/3.29 |- ifeq (codomain $X) (domain a) (domain (compose $X (compose a b))) % 3.05/3.29 (domain $X) = domain $X % 3.05/3.29 |- compose (domain a) (compose a b) = compose a b % 3.05/3.29 |- ifeq (codomain $_1) (domain $_38) % 3.05/3.29 (codomain (compose (codomain $_1) (domain $_38))) (domain $_38) = % 3.05/3.29 domain $_38 % 3.05/3.29 |- ifeq (codomain b) (domain $_38) % 3.05/3.29 (codomain (compose (compose a b) (domain $_38))) (domain $_38) = % 3.05/3.29 domain $_38 % 3.05/3.29 |- ifeq (codomain g) (domain $_38) % 3.05/3.29 (codomain (compose (compose a g) (domain $_38))) (domain $_38) = % 3.05/3.29 domain $_38 % 3.05/3.29 |- ifeq (domain $X) (domain $_38) % 3.05/3.29 (codomain (compose (domain $X) (domain $_38))) (domain $_38) = % 3.05/3.29 domain $_38 % 3.05/3.29 |- ifeq (codomain g) (domain $_38) (codomain (compose h (domain $_38))) % 3.05/3.29 (domain $_38) = domain $_38 % 3.05/3.29 |- ifeq (codomain $_40) (codomain $_1) % 3.05/3.29 (codomain (compose (codomain $_40) (codomain $_1))) (codomain $_1) = % 3.05/3.29 codomain $_1 % 3.05/3.29 |- ifeq (codomain $_40) (domain a) % 3.05/3.29 (codomain (compose (codomain $_40) (compose a b))) (codomain b) = % 3.05/3.29 codomain b % 3.05/3.29 |- ifeq (domain $X) (domain a) % 3.05/3.29 (codomain (compose (domain $X) (compose a b))) (codomain b) = % 3.05/3.29 codomain b % 3.05/3.29 |- ifeq (domain $_44) (codomain $_1) % 3.05/3.29 (codomain (compose (domain $_44) (codomain $_1))) (codomain $_1) = % 3.05/3.29 codomain $_1 % 3.05/3.29 |- ifeq (codomain g) (codomain $_1) (codomain (compose h (codomain $_1))) % 3.05/3.29 (codomain $_1) = codomain $_1 % 3.05/3.29 |- ifeq (codomain g) (domain a) (codomain (compose h (compose a b))) % 3.05/3.29 (codomain b) = codomain b % 3.05/3.29 |- ifeq (codomain g) (codomain $X) % 3.05/3.29 (codomain (compose (compose a g) (codomain $X))) (codomain $X) = % 3.05/3.29 codomain $X % 3.05/3.29 |- ifeq (codomain $X) (domain a) % 3.05/3.29 (domain (compose (codomain $X) (compose a g))) (codomain $X) = % 3.05/3.29 codomain $X % 3.05/3.29 |- ifeq (codomain b) (domain a) % 3.05/3.29 (domain (compose (compose a b) (compose a g))) (domain a) = domain a % 3.05/3.29 |- ifeq (codomain g) (domain a) % 3.05/3.29 (domain (compose (compose a g) (compose a g))) (domain a) = domain a % 3.05/3.29 |- ifeq (domain $X) (domain a) (domain (compose (domain $X) (compose a g))) % 3.05/3.29 (domain $X) = domain $X % 3.05/3.29 |- ifeq (domain $_49) (codomain $X) % 3.05/3.29 (domain (compose (domain $_49) (codomain $X))) (domain $_49) = % 3.05/3.29 domain $_49 % 3.05/3.29 |- ifeq (domain $_49) (domain a) % 3.05/3.29 (domain (compose (domain $_49) (compose a b))) (domain $_49) = % 3.05/3.29 domain $_49 % 3.05/3.29 |- ifeq (domain $_49) (domain $X) % 3.05/3.29 (domain (compose (domain $_49) (domain $X))) (domain $_49) = % 3.05/3.29 domain $_49 % 3.05/3.29 |- ifeq (codomain $X) (codomain $_51) % 3.05/3.29 (domain (compose (codomain $X) (codomain $_51))) (codomain $X) = % 3.05/3.29 codomain $X % 3.05/3.29 |- ifeq (codomain b) (codomain $_51) % 3.05/3.29 (domain (compose (compose a b) (codomain $_51))) (domain a) = domain a % 3.05/3.29 |- ifeq (codomain g) (codomain $_51) % 3.05/3.29 (domain (compose (compose a g) (codomain $_51))) (domain a) = domain a % 3.05/3.29 |- ifeq (codomain $X) (domain $_53) % 3.05/3.29 (domain (compose (codomain $X) (domain $_53))) (codomain $X) = % 3.05/3.29 codomain $X % 3.05/3.29 |- ifeq (codomain b) (domain $_53) % 3.05/3.29 (domain (compose (compose a b) (domain $_53))) (domain a) = domain a % 3.05/3.29 |- ifeq (codomain g) (domain $_53) % 3.05/3.29 (domain (compose (compose a g) (domain $_53))) (domain a) = domain a % 3.05/3.29 |- ifeq (codomain b) (codomain $_61) % 3.05/3.29 (codomain (compose (compose a b) (codomain $_61))) (codomain $_61) = % 3.05/3.29 codomain $_61 % 3.05/3.29 |- ifeq (codomain g) (domain a) % 3.05/3.29 (domain (compose (compose a g) (compose a b))) (domain a) = domain a % 3.05/3.29 |- ifeq (codomain g) (domain a) % 3.05/3.29 (codomain (compose (compose a g) (compose a b))) (codomain b) = % 3.05/3.29 codomain b % 3.05/3.29 |- ifeq (codomain $_75) (domain a) % 3.05/3.29 (domain (compose (codomain $_75) (compose a b))) (codomain $_75) = % 3.05/3.29 codomain $_75 % 3.05/3.29 |- ifeq (codomain b) (domain a) % 3.05/3.29 (domain (compose (compose a b) (compose a b))) (domain a) = domain a % 3.05/3.29 |- ifeq (codomain g) (domain $_100) (compose a (compose h $_100)) % 3.05/3.29 (compose (compose a g) $_100) = compose (compose a g) $_100 % 3.05/3.29 |- ifeq (codomain b) (domain $_100) % 3.05/3.29 (compose (codomain a) (compose b $_100)) (compose b $_100) = % 3.05/3.29 compose b $_100 % 3.05/3.29 |- ifeq (codomain g) (domain $_100) % 3.05/3.29 (compose (codomain a) (compose g $_100)) (compose g $_100) = % 3.05/3.29 compose g $_100 % 3.05/3.29 |- ifeq (codomain g) (domain $_100) % 3.05/3.29 (compose (codomain a) (compose h $_100)) (compose h $_100) = % 3.05/3.29 compose h $_100 % 3.05/3.29 |- ifeq (codomain $X) (domain $_100) % 3.05/3.29 (compose (codomain $X) (compose (codomain $X) $_100)) % 3.05/3.29 (compose (codomain $X) $_100) = compose (codomain $X) $_100 % 3.05/3.29 |- ifeq (codomain b) (domain $_100) % 3.05/3.29 (compose (compose a b) (compose (codomain b) $_100)) % 3.05/3.29 (compose (compose a b) $_100) = compose (compose a b) $_100 % 3.05/3.29 |- ifeq (codomain g) (domain $_100) % 3.05/3.29 (compose (compose a g) (compose (codomain g) $_100)) % 3.05/3.29 (compose (compose a g) $_100) = compose (compose a g) $_100 % 3.05/3.29 |- ifeq (codomain b) (domain $_100) % 3.05/3.29 (compose (domain a) (compose (compose a b) $_100)) % 3.05/3.29 (compose (compose a b) $_100) = compose (compose a b) $_100 % 3.05/3.29 |- ifeq (codomain g) (domain $_100) % 3.05/3.29 (compose (domain a) (compose (compose a g) $_100)) % 3.05/3.29 (compose (compose a g) $_100) = compose (compose a g) $_100 % 3.05/3.29 |- ifeq (domain $X) (domain $_100) % 3.05/3.29 (compose (domain $X) (compose (domain $X) $_100)) % 3.05/3.29 (compose (domain $X) $_100) = compose (domain $X) $_100 % 3.05/3.29 |- ifeq (codomain $_99) (domain $_100) % 3.05/3.29 (compose (domain $_99) (compose $_99 $_100)) (compose $_99 $_100) = % 3.05/3.29 compose $_99 $_100 % 3.05/3.29 |- ifeq (codomain g) (domain $_100) % 3.05/3.29 (compose h (compose (codomain g) $_100)) (compose h $_100) = % 3.05/3.29 compose h $_100 % 3.05/3.29 |- ifeq (codomain $_98) (domain $_100) % 3.05/3.29 (compose $_98 (compose (codomain $_98) $_100)) (compose $_98 $_100) = % 3.05/3.29 compose $_98 $_100 % 3.05/3.29 |- ifeq (codomain $_99) (codomain (compose $_98 $_99)) % 3.05/3.29 (ifeq (codomain $_98) (domain $_99) % 3.05/3.29 (compose $_98 (compose $_99 (codomain (compose $_98 $_99)))) % 3.05/3.29 (compose $_98 $_99)) (compose $_98 $_99) = compose $_98 $_99 % 3.05/3.29 |- ifeq (codomain $_98) (domain a) (compose $_98 (compose a g)) % 3.05/3.29 (compose (compose $_98 a) h) = compose (compose $_98 a) h % 3.05/3.29 |- ifeq (codomain $_98) (codomain a) (compose $_98 b) % 3.05/3.29 (compose (compose $_98 (codomain a)) b) = % 3.05/3.29 compose (compose $_98 (codomain a)) b % 3.05/3.29 |- ifeq (codomain $_98) (codomain a) (compose $_98 g) % 3.05/3.29 (compose (compose $_98 (codomain a)) g) = % 3.05/3.29 compose (compose $_98 (codomain a)) g % 3.05/3.29 |- ifeq (codomain $_98) (codomain a) (compose $_98 h) % 3.05/3.29 (compose (compose $_98 (codomain a)) h) = % 3.05/3.29 compose (compose $_98 (codomain a)) h % 3.05/3.29 |- ifeq (codomain $_98) (codomain $X) (compose $_98 (codomain $X)) % 3.05/3.29 (compose (compose $_98 (codomain $X)) (codomain $X)) = % 3.05/3.29 compose (compose $_98 (codomain $X)) (codomain $X) % 3.05/3.29 |- ifeq (codomain $_98) (domain a) (compose $_98 (compose a b)) % 3.05/3.29 (compose (compose $_98 (compose a b)) (codomain b)) = % 3.05/3.29 compose (compose $_98 (compose a b)) (codomain b) % 3.05/3.29 |- ifeq (codomain $_98) (domain a) (compose $_98 (compose a g)) % 3.05/3.29 (compose (compose $_98 (compose a g)) (codomain g)) = % 3.05/3.29 compose (compose $_98 (compose a g)) (codomain g) % 3.05/3.29 |- ifeq (codomain $_98) (domain a) (compose $_98 (compose a b)) % 3.05/3.29 (compose (compose $_98 (domain a)) (compose a b)) = % 3.05/3.29 compose (compose $_98 (domain a)) (compose a b) % 3.05/3.29 |- ifeq (codomain $_98) (domain a) (compose $_98 (compose a g)) % 3.05/3.29 (compose (compose $_98 (domain a)) (compose a g)) = % 3.05/3.29 compose (compose $_98 (domain a)) (compose a g) % 3.05/3.29 |- ifeq (codomain $_98) (domain $X) (compose $_98 (domain $X)) % 3.05/3.29 (compose (compose $_98 (domain $X)) (domain $X)) = % 3.05/3.29 compose (compose $_98 (domain $X)) (domain $X) % 3.05/3.29 |- ifeq (codomain $_98) (domain $_100) (compose $_98 $_100) % 3.05/3.29 (compose (compose $_98 (domain $_100)) $_100) = % 3.05/3.29 compose (compose $_98 (domain $_100)) $_100 % 3.05/3.29 |- ifeq (codomain $_98) (codomain a) (compose $_98 h) % 3.05/3.29 (compose (compose $_98 h) (codomain g)) = % 3.05/3.29 compose (compose $_98 h) (codomain g) % 3.05/3.29 |- ifeq (codomain $_98) (domain $_99) (compose $_98 $_99) % 3.05/3.29 (compose (compose $_98 $_99) (codomain $_99)) = % 3.05/3.29 compose (compose $_98 $_99) (codomain $_99) % 3.05/3.29 |- ifeq (codomain $_99) (domain $_100) % 3.05/3.29 (ifeq (domain (compose $_99 $_100)) (domain $_99) (compose $_99 $_100) % 3.05/3.29 (compose (compose (domain (compose $_99 $_100)) $_99) $_100)) % 3.05/3.29 (compose (compose (domain (compose $_99 $_100)) $_99) $_100) = % 3.05/3.29 compose (compose (domain (compose $_99 $_100)) $_99) $_100 % 3.05/3.29 |- ifeq (codomain b) (domain $_100) % 3.05/3.29 (ifeq (codomain $_98) (codomain a) (compose $_98 (compose b $_100)) % 3.05/3.29 (compose (compose $_98 b) $_100)) % 3.05/3.29 (compose (compose $_98 b) $_100) = compose (compose $_98 b) $_100 % 3.05/3.29 |- ifeq (codomain $X) (domain $_100) % 3.05/3.29 (ifeq (codomain $_98) (codomain $X) % 3.05/3.29 (compose $_98 (compose (codomain $X) $_100)) % 3.05/3.29 (compose (compose $_98 (codomain $X)) $_100)) % 3.05/3.29 (compose (compose $_98 (codomain $X)) $_100) = % 3.05/3.29 compose (compose $_98 (codomain $X)) $_100 % 3.05/3.29 |- ifeq (codomain b) (domain $_100) % 3.05/3.29 (ifeq (codomain $_98) (domain a) % 3.05/3.29 (compose $_98 (compose (compose a b) $_100)) % 3.05/3.29 (compose (compose $_98 (compose a b)) $_100)) % 3.05/3.29 (compose (compose $_98 (compose a b)) $_100) = % 3.05/3.29 compose (compose $_98 (compose a b)) $_100 % 3.05/3.29 |- ifeq (codomain g) (domain $_100) % 3.05/3.29 (ifeq (codomain $_98) (domain a) % 3.05/3.29 (compose $_98 (compose (compose a g) $_100)) % 3.05/3.29 (compose (compose $_98 (compose a g)) $_100)) % 3.05/3.29 (compose (compose $_98 (compose a g)) $_100) = % 3.05/3.29 compose (compose $_98 (compose a g)) $_100 % 3.05/3.29 |- ifeq (domain $X) (domain $_100) % 3.05/3.29 (ifeq (codomain $_98) (domain $X) % 3.05/3.29 (compose $_98 (compose (domain $X) $_100)) % 3.05/3.29 (compose (compose $_98 (domain $X)) $_100)) % 3.05/3.29 (compose (compose $_98 (domain $X)) $_100) = % 3.05/3.29 compose (compose $_98 (domain $X)) $_100 % 3.05/3.29 |- ifeq (codomain g) (domain $_100) % 3.05/3.29 (ifeq (codomain $_98) (codomain a) (compose $_98 (compose g $_100)) % 3.05/3.29 (compose (compose $_98 g) $_100)) % 3.05/3.29 (compose (compose $_98 g) $_100) = compose (compose $_98 g) $_100 % 3.05/3.29 |- ifeq (codomain g) (domain $_100) % 3.05/3.29 (ifeq (codomain $_98) (codomain a) (compose $_98 (compose h $_100)) % 3.05/3.29 (compose (compose $_98 h) $_100)) % 3.05/3.29 (compose (compose $_98 h) $_100) = compose (compose $_98 h) $_100 % 3.05/3.29 |- ifeq (codomain $_99) (domain $_100) % 3.05/3.29 (ifeq (codomain $_1) (domain $_99) % 3.05/3.29 (compose (codomain $_1) (compose $_99 $_100)) % 3.05/3.29 (compose (compose (codomain $_1) $_99) $_100)) % 3.05/3.29 (compose (compose (codomain $_1) $_99) $_100) = % 3.05/3.29 compose (compose (codomain $_1) $_99) $_100 % 3.05/3.29 |- ifeq (codomain $_99) (domain $_100) % 3.05/3.29 (ifeq (codomain b) (domain $_99) % 3.05/3.29 (compose (compose a b) (compose $_99 $_100)) % 3.05/3.29 (compose (compose (compose a b) $_99) $_100)) % 3.05/3.29 (compose (compose (compose a b) $_99) $_100) = % 3.05/3.29 compose (compose (compose a b) $_99) $_100 % 3.05/3.29 |- ifeq (codomain $_99) (domain $_100) % 3.05/3.29 (ifeq (codomain g) (domain $_99) % 3.05/3.29 (compose (compose a g) (compose $_99 $_100)) % 3.05/3.29 (compose (compose (compose a g) $_99) $_100)) % 3.05/3.29 (compose (compose (compose a g) $_99) $_100) = % 3.05/3.29 compose (compose (compose a g) $_99) $_100 % 3.05/3.29 |- ifeq (codomain $_99) (domain $_100) % 3.05/3.29 (ifeq (domain $X) (domain $_99) % 3.05/3.29 (compose (domain $X) (compose $_99 $_100)) % 3.05/3.29 (compose (compose (domain $X) $_99) $_100)) % 3.05/3.29 (compose (compose (domain $X) $_99) $_100) = % 3.05/3.29 compose (compose (domain $X) $_99) $_100 % 3.05/3.29 |- ifeq (codomain $_99) (domain $_100) % 3.05/3.29 (ifeq (codomain g) (domain $_99) (compose h (compose $_99 $_100)) % 3.05/3.29 (compose (compose h $_99) $_100)) % 3.05/3.29 (compose (compose h $_99) $_100) = compose (compose h $_99) $_100 % 3.05/3.29 |- ifeq (codomain $_99) (codomain a) % 3.05/3.29 (ifeq (codomain $_98) (domain $_99) (compose $_98 (compose $_99 b)) % 3.05/3.29 (compose (compose $_98 $_99) b)) (compose (compose $_98 $_99) b) = % 3.05/3.29 compose (compose $_98 $_99) b % 3.05/3.29 |- ifeq (codomain $_99) (codomain $X) % 3.05/3.29 (ifeq (codomain $_98) (domain $_99) % 3.05/3.29 (compose $_98 (compose $_99 (codomain $X))) % 3.05/3.29 (compose (compose $_98 $_99) (codomain $X))) % 3.05/3.29 (compose (compose $_98 $_99) (codomain $X)) = % 3.05/3.29 compose (compose $_98 $_99) (codomain $X) % 3.05/3.29 |- ifeq (codomain $_99) (domain a) % 3.05/3.29 (ifeq (codomain $_98) (domain $_99) % 3.05/3.29 (compose $_98 (compose $_99 (compose a b))) % 3.05/3.29 (compose (compose $_98 $_99) (compose a b))) % 3.05/3.29 (compose (compose $_98 $_99) (compose a b)) = % 3.05/3.29 compose (compose $_98 $_99) (compose a b) % 3.05/3.29 |- ifeq (codomain $_99) (domain a) % 3.05/3.29 (ifeq (codomain $_98) (domain $_99) % 3.05/3.29 (compose $_98 (compose $_99 (compose a g))) % 3.05/3.29 (compose (compose $_98 $_99) (compose a g))) % 3.05/3.29 (compose (compose $_98 $_99) (compose a g)) = % 3.05/3.29 compose (compose $_98 $_99) (compose a g) % 3.05/3.29 |- ifeq (codomain $_99) (domain $X) % 3.05/3.29 (ifeq (codomain $_98) (domain $_99) % 3.05/3.29 (compose $_98 (compose $_99 (domain $X))) % 3.05/3.29 (compose (compose $_98 $_99) (domain $X))) % 3.05/3.29 (compose (compose $_98 $_99) (domain $X)) = % 3.05/3.29 compose (compose $_98 $_99) (domain $X) % 3.05/3.29 |- ifeq (codomain $_99) (codomain a) % 3.05/3.29 (ifeq (codomain $_98) (domain $_99) (compose $_98 (compose $_99 g)) % 3.05/3.29 (compose (compose $_98 $_99) g)) (compose (compose $_98 $_99) g) = % 3.05/3.29 compose (compose $_98 $_99) g % 3.05/3.29 |- ifeq (codomain $_99) (codomain a) % 3.05/3.29 (ifeq (codomain $_98) (domain $_99) (compose $_98 (compose $_99 h)) % 3.05/3.29 (compose (compose $_98 $_99) h)) (compose (compose $_98 $_99) h) = % 3.05/3.29 compose (compose $_98 $_99) h % 3.05/3.29 |- ifeq (codomain b) (codomain a) (compose (codomain a) (compose b b)) % 3.05/3.29 (compose b b) = compose b b % 3.05/3.29 |- ifeq (codomain b) (codomain $X) % 3.05/3.29 (compose (codomain a) (compose b (codomain $X))) % 3.05/3.29 (compose b (codomain $X)) = compose b (codomain $X) % 3.05/3.29 |- ifeq (codomain b) (domain a) % 3.05/3.29 (compose (codomain a) (compose b (compose a b))) % 3.05/3.29 (compose b (compose a b)) = compose b (compose a b) % 3.05/3.29 |- ifeq (codomain b) (domain a) % 3.05/3.29 (compose (codomain a) (compose b (compose a g))) % 3.05/3.29 (compose b (compose a g)) = compose b (compose a g) % 3.05/3.29 |- ifeq (codomain b) (domain $X) % 3.05/3.29 (compose (codomain a) (compose b (domain $X))) % 3.05/3.29 (compose b (domain $X)) = compose b (domain $X) % 3.05/3.29 |- ifeq (codomain b) (codomain a) (compose (codomain a) (compose b g)) % 3.05/3.29 (compose b g) = compose b g % 3.05/3.29 |- ifeq (codomain b) (codomain a) (compose (codomain a) (compose b h)) % 3.05/3.29 (compose b h) = compose b h % 3.05/3.29 |- ifeq (codomain g) (codomain a) (compose h (compose (codomain g) b)) % 3.05/3.29 (compose h b) = compose h b % 3.05/3.29 |- ifeq (codomain g) (codomain $X) % 3.05/3.29 (compose h (compose (codomain g) (codomain $X))) % 3.05/3.29 (compose h (codomain $X)) = compose h (codomain $X) % 3.05/3.29 |- ifeq (codomain g) (domain a) % 3.05/3.29 (compose h (compose (codomain g) (compose a b))) % 3.05/3.29 (compose h (compose a b)) = compose h (compose a b) % 3.05/3.29 |- ifeq (codomain g) (domain a) % 3.05/3.29 (compose h (compose (codomain g) (compose a g))) % 3.05/3.29 (compose h (compose a g)) = compose h (compose a g) % 3.05/3.29 |- ifeq (codomain g) (domain $X) % 3.05/3.29 (compose h (compose (codomain g) (domain $X))) % 3.05/3.29 (compose h (domain $X)) = compose h (domain $X) % 3.05/3.29 |- ifeq (codomain g) (codomain a) (compose h (compose (codomain g) g)) % 3.05/3.29 (compose h g) = compose h g % 3.05/3.29 |- ifeq (codomain g) (codomain a) (compose h (compose (codomain g) h)) % 3.05/3.29 (compose h h) = compose h h % 3.05/3.29 |- ifeq (codomain g) (codomain a) (compose (codomain a) (compose g b)) % 3.05/3.29 (compose g b) = compose g b % 3.14/3.30 |- ifeq (codomain g) (codomain $X) % 3.14/3.30 (compose (codomain a) (compose g (codomain $X))) % 3.14/3.30 (compose g (codomain $X)) = compose g (codomain $X) % 3.14/3.30 |- ifeq (codomain g) (domain a) % 3.14/3.30 (compose (codomain a) (compose g (compose a b))) % 3.14/3.30 (compose g (compose a b)) = compose g (compose a b) % 3.14/3.30 |- ifeq (codomain g) (domain a) % 3.14/3.30 (compose (codomain a) (compose g (compose a g))) % 3.14/3.30 (compose g (compose a g)) = compose g (compose a g) % 3.14/3.30 |- ifeq (codomain g) (domain $X) % 3.14/3.30 (compose (codomain a) (compose g (domain $X))) % 3.14/3.30 (compose g (domain $X)) = compose g (domain $X) % 3.14/3.30 |- ifeq (codomain g) (codomain a) (compose (codomain a) (compose g g)) % 3.14/3.30 (compose g g) = compose g g % 3.14/3.30 |- ifeq (codomain g) (codomain a) (compose (codomain a) (compose g h)) % 3.14/3.30 (compose g h) = compose g h % 3.14/3.30 |- ifeq (codomain $_1) (domain a) (compose (codomain $_1) (compose a g)) % 3.14/3.30 (compose (compose (codomain $_1) a) h) = % 3.14/3.30 compose (compose (codomain $_1) a) h % 3.14/3.30 |- ifeq (codomain b) (domain a) (compose (compose a b) (compose a g)) % 3.14/3.30 (compose (compose (compose a b) a) h) = % 3.14/3.30 compose (compose (compose a b) a) h % 3.14/3.30 |- ifeq (codomain g) (domain a) (compose (compose a g) (compose a g)) % 3.14/3.30 (compose (compose (compose a g) a) h) = % 3.14/3.30 compose (compose (compose a g) a) h % 3.14/3.30 |- ifeq (domain $X) (domain a) (compose (domain $X) (compose a g)) % 3.14/3.30 (compose (compose (domain $X) a) h) = % 3.14/3.30 compose (compose (domain $X) a) h % 3.14/3.30 |- ifeq (codomain g) (domain a) (compose h (compose a g)) % 3.14/3.30 (compose (compose h a) h) = compose (compose h a) h % 3.14/3.30 |- ifeq (codomain $_1) (codomain a) (compose (codomain $_1) b) % 3.14/3.30 (compose (compose (codomain $_1) (codomain a)) b) = % 3.14/3.30 compose (compose (codomain $_1) (codomain a)) b % 3.14/3.30 |- ifeq (codomain b) (codomain a) (compose (compose a b) b) % 3.14/3.30 (compose (compose (compose a b) (codomain a)) b) = % 3.14/3.30 compose (compose (compose a b) (codomain a)) b % 3.14/3.30 |- ifeq (codomain g) (codomain a) (compose (compose a g) b) % 3.14/3.30 (compose (compose (compose a g) (codomain a)) b) = % 3.14/3.30 compose (compose (compose a g) (codomain a)) b % 3.14/3.30 |- ifeq (domain $X) (codomain a) (compose (domain $X) b) % 3.14/3.30 (compose (compose (domain $X) (codomain a)) b) = % 3.14/3.30 compose (compose (domain $X) (codomain a)) b % 3.14/3.30 |- ifeq (codomain g) (codomain a) (compose h b) % 3.14/3.30 (compose (compose h (codomain a)) b) = % 3.14/3.30 compose (compose h (codomain a)) b % 3.14/3.30 |- ifeq (codomain $_1) (codomain a) (compose (codomain $_1) h) % 3.14/3.30 (compose (compose (codomain $_1) h) (codomain g)) = % 3.14/3.30 compose (compose (codomain $_1) h) (codomain g) % 3.14/3.30 |- ifeq (codomain b) (codomain a) (compose (compose a b) h) % 3.14/3.30 (compose (compose (compose a b) h) (codomain g)) = % 3.14/3.30 compose (compose (compose a b) h) (codomain g) % 3.14/3.30 |- ifeq (codomain g) (codomain a) (compose (compose a g) h) % 3.14/3.30 (compose (compose (compose a g) h) (codomain g)) = % 3.14/3.30 compose (compose (compose a g) h) (codomain g) % 3.14/3.30 |- ifeq (domain $X) (codomain a) (compose (domain $X) h) % 3.14/3.30 (compose (compose (domain $X) h) (codomain g)) = % 3.14/3.30 compose (compose (domain $X) h) (codomain g) % 3.14/3.30 |- ifeq (codomain g) (codomain a) (compose h h) % 3.14/3.30 (compose (compose h h) (codomain g)) = % 3.14/3.30 compose (compose h h) (codomain g) % 3.14/3.30 |- ifeq (codomain g) (codomain a) (compose (codomain a) (compose h b)) % 3.14/3.30 (compose h b) = compose h b % 3.14/3.30 |- ifeq (codomain g) (codomain $X) % 3.14/3.30 (compose (codomain a) (compose h (codomain $X))) % 3.14/3.30 (compose h (codomain $X)) = compose h (codomain $X) % 3.14/3.30 |- ifeq (codomain g) (domain a) % 3.14/3.30 (compose (codomain a) (compose h (compose a b))) % 3.14/3.30 (compose h (compose a b)) = compose h (compose a b) % 3.14/3.30 |- ifeq (codomain g) (domain a) % 3.14/3.30 (compose (codomain a) (compose h (compose a g))) % 3.14/3.30 (compose h (compose a g)) = compose h (compose a g) % 3.14/3.30 |- ifeq (codomain g) (domain $X) % 3.14/3.30 (compose (codomain a) (compose h (domain $X))) % 3.14/3.30 (compose h (domain $X)) = compose h (domain $X) % 3.14/3.30 |- ifeq (codomain g) (codomain a) (compose (codomain a) (compose h g)) % 3.14/3.30 (compose h g) = compose h g % 3.14/3.30 |- ifeq (codomain g) (codomain a) (compose (codomain a) (compose h h)) % 3.14/3.30 (compose h h) = compose h h % 3.14/3.30 |- ifeq (codomain g) (codomain a) (compose a (compose h b)) % 3.14/3.30 (compose (compose a g) b) = compose (compose a g) b % 3.14/3.30 |- ifeq (codomain g) (codomain $X) (compose a (compose h (codomain $X))) % 3.14/3.30 (compose (compose a g) (codomain $X)) = % 3.14/3.30 compose (compose a g) (codomain $X) % 3.14/3.30 |- ifeq (codomain g) (domain a) (compose a (compose h (compose a b))) % 3.14/3.30 (compose (compose a g) (compose a b)) = % 3.14/3.30 compose (compose a g) (compose a b) % 3.14/3.30 |- ifeq (codomain g) (domain a) (compose a (compose h (compose a g))) % 3.14/3.30 (compose (compose a g) (compose a g)) = % 3.14/3.30 compose (compose a g) (compose a g) % 3.14/3.30 |- ifeq (codomain g) (domain $X) (compose a (compose h (domain $X))) % 3.14/3.30 (compose (compose a g) (domain $X)) = % 3.14/3.30 compose (compose a g) (domain $X) % 3.14/3.30 |- ifeq (codomain g) (codomain a) (compose a (compose h g)) % 3.14/3.30 (compose (compose a g) g) = compose (compose a g) g % 3.14/3.30 |- ifeq (codomain g) (codomain a) (compose a (compose h h)) % 3.14/3.30 (compose (compose a g) h) = compose (compose a g) h % 3.14/3.30 |- ifeq (codomain $_1) (codomain a) (compose (codomain $_1) g) % 3.14/3.30 (compose (compose (codomain $_1) (codomain a)) g) = % 3.14/3.30 compose (compose (codomain $_1) (codomain a)) g % 3.14/3.30 |- ifeq (codomain b) (codomain a) (compose (compose a b) g) % 3.14/3.30 (compose (compose (compose a b) (codomain a)) g) = % 3.14/3.30 compose (compose (compose a b) (codomain a)) g % 3.14/3.30 |- ifeq (codomain g) (codomain a) (compose (compose a g) g) % 3.14/3.30 (compose (compose (compose a g) (codomain a)) g) = % 3.14/3.30 compose (compose (compose a g) (codomain a)) g % 3.14/3.30 |- ifeq (domain $X) (codomain a) (compose (domain $X) g) % 3.14/3.30 (compose (compose (domain $X) (codomain a)) g) = % 3.14/3.30 compose (compose (domain $X) (codomain a)) g % 3.14/3.30 |- ifeq (codomain g) (codomain a) (compose h g) % 3.14/3.30 (compose (compose h (codomain a)) g) = % 3.14/3.30 compose (compose h (codomain a)) g % 3.14/3.30 |- ifeq (codomain $_1) (codomain a) (compose (codomain $_1) h) % 3.14/3.30 (compose (compose (codomain $_1) (codomain a)) h) = % 3.14/3.30 compose (compose (codomain $_1) (codomain a)) h % 3.14/3.30 |- ifeq (codomain b) (codomain a) (compose (compose a b) h) % 3.14/3.30 (compose (compose (compose a b) (codomain a)) h) = % 3.14/3.30 compose (compose (compose a b) (codomain a)) h % 3.14/3.30 |- ifeq (codomain g) (codomain a) (compose (compose a g) h) % 3.14/3.30 (compose (compose (compose a g) (codomain a)) h) = % 3.14/3.30 compose (compose (compose a g) (codomain a)) h % 3.14/3.30 |- ifeq (domain $X) (codomain a) (compose (domain $X) h) % 3.14/3.30 (compose (compose (domain $X) (codomain a)) h) = % 3.14/3.30 compose (compose (domain $X) (codomain a)) h % 3.14/3.30 |- ifeq (codomain g) (codomain a) (compose h h) % 3.14/3.30 (compose (compose h (codomain a)) h) = % 3.14/3.30 compose (compose h (codomain a)) h % 3.14/3.30 |- ifeq (codomain g) (codomain a) % 3.14/3.30 (compose (compose a g) (compose (codomain g) b)) % 3.14/3.30 (compose (compose a g) b) = compose (compose a g) b % 3.14/3.30 |- ifeq (codomain g) (codomain $X) % 3.14/3.30 (compose (compose a g) (compose (codomain g) (codomain $X))) % 3.14/3.30 (compose (compose a g) (codomain $X)) = % 3.14/3.30 compose (compose a g) (codomain $X) % 3.14/3.30 |- ifeq (codomain g) (domain a) % 3.14/3.30 (compose (compose a g) (compose (codomain g) (compose a b))) % 3.14/3.30 (compose (compose a g) (compose a b)) = % 3.14/3.30 compose (compose a g) (compose a b) % 3.14/3.30 |- ifeq (codomain g) (domain a) % 3.14/3.30 (compose (compose a g) (compose (codomain g) (compose a g))) % 3.14/3.30 (compose (compose a g) (compose a g)) = % 3.14/3.30 compose (compose a g) (compose a g) % 3.14/3.30 |- ifeq (codomain g) (domain $X) % 3.14/3.30 (compose (compose a g) (compose (codomain g) (domain $X))) % 3.14/3.30 (compose (compose a g) (domain $X)) = % 3.14/3.30 compose (compose a g) (domain $X) % 3.14/3.30 |- ifeq (codomain g) (codomain a) % 3.14/3.30 (compose (compose a g) (compose (codomain g) g)) % 3.14/3.30 (compose (compose a g) g) = compose (compose a g) g % 3.14/3.30 |- ifeq (codomain g) (codomain a) % 3.14/3.30 (compose (compose a g) (compose (codomain g) h)) % 3.14/3.30 (compose (compose a g) h) = compose (compose a g) h % 3.14/3.30 |- ifeq (codomain g) (codomain a) % 3.14/3.30 (compose (domain a) (compose (compose a g) b)) % 3.14/3.30 (compose (compose a g) b) = compose (compose a g) b % 3.14/3.30 |- ifeq (codomain g) (codomain $X) % 3.14/3.30 (compose (domain a) (compose (compose a g) (codomain $X))) % 3.14/3.30 (compose (compose a g) (codomain $X)) = % 3.14/3.30 compose (compose a g) (codomain $X) % 3.14/3.30 |- ifeq (codomain g) (domain a) % 3.14/3.30 (compose (domain a) (compose (compose a g) (compose a b))) % 3.14/3.30 (compose (compose a g) (compose a b)) = % 3.14/3.30 compose (compose a g) (compose a b) % 3.14/3.30 |- ifeq (codomain g) (domain a) % 3.14/3.30 (compose (domain a) (compose (compose a g) (compose a g))) % 3.14/3.30 (compose (compose a g) (compose a g)) = % 3.14/3.30 compose (compose a g) (compose a g) % 3.14/3.30 |- ifeq (codomain g) (domain $X) % 3.14/3.30 (compose (domain a) (compose (compose a g) (domain $X))) % 3.14/3.30 (compose (compose a g) (domain $X)) = % 3.14/3.30 compose (compose a g) (domain $X) % 3.14/3.30 |- ifeq (codomain g) (codomain a) % 3.14/3.30 (compose (domain a) (compose (compose a g) g)) % 3.14/3.30 (compose (compose a g) g) = compose (compose a g) g % 3.14/3.30 |- ifeq (codomain g) (codomain a) % 3.14/3.30 (compose (domain a) (compose (compose a g) h)) % 3.14/3.30 (compose (compose a g) h) = compose (compose a g) h % 3.14/3.30 |- ifeq (codomain b) (domain a) % 3.14/3.30 (codomain (compose (compose a b) (compose a b))) (codomain b) = % 3.14/3.30 codomain b % 3.14/3.30 |- ifeq (codomain b) (codomain a) % 3.14/3.30 (compose (compose a b) (compose (codomain b) b)) % 3.14/3.30 (compose (compose a b) b) = compose (compose a b) b % 3.14/3.30 |- ifeq (codomain b) (codomain $X) % 3.14/3.30 (compose (compose a b) (compose (codomain b) (codomain $X))) % 3.14/3.30 (compose (compose a b) (codomain $X)) = % 3.14/3.30 compose (compose a b) (codomain $X) % 3.14/3.30 |- ifeq (codomain b) (domain a) % 3.14/3.30 (compose (compose a b) (compose (codomain b) (compose a b))) % 3.14/3.30 (compose (compose a b) (compose a b)) = % 3.14/3.30 compose (compose a b) (compose a b) % 3.14/3.30 |- ifeq (codomain b) (domain a) % 3.14/3.30 (compose (compose a b) (compose (codomain b) (compose a g))) % 3.14/3.30 (compose (compose a b) (compose a g)) = % 3.14/3.30 compose (compose a b) (compose a g) % 3.14/3.30 |- ifeq (codomain b) (domain $X) % 3.14/3.30 (compose (compose a b) (compose (codomain b) (domain $X))) % 3.14/3.30 (compose (compose a b) (domain $X)) = % 3.14/3.30 compose (compose a b) (domain $X) % 3.14/3.30 |- ifeq (codomain b) (codomain a) % 3.14/3.30 (compose (compose a b) (compose (codomain b) g)) % 3.14/3.30 (compose (compose a b) g) = compose (compose a b) g % 3.14/3.30 |- ifeq (codomain b) (codomain a) % 3.14/3.30 (compose (compose a b) (compose (codomain b) h)) % 3.14/3.30 (compose (compose a b) h) = compose (compose a b) h % 3.14/3.30 |- ifeq (codomain b) (codomain a) % 3.14/3.30 (compose (domain a) (compose (compose a b) b)) % 3.14/3.30 (compose (compose a b) b) = compose (compose a b) b % 3.14/3.30 |- ifeq (codomain b) (codomain $X) % 3.14/3.30 (compose (domain a) (compose (compose a b) (codomain $X))) % 3.14/3.30 (compose (compose a b) (codomain $X)) = % 3.14/3.30 compose (compose a b) (codomain $X) % 3.14/3.30 |- ifeq (codomain b) (domain a) % 3.14/3.30 (compose (domain a) (compose (compose a b) (compose a b))) % 3.14/3.30 (compose (compose a b) (compose a b)) = % 3.14/3.30 compose (compose a b) (compose a b) % 3.14/3.30 |- ifeq (codomain b) (domain a) % 3.14/3.30 (compose (domain a) (compose (compose a b) (compose a g))) % 3.14/3.30 (compose (compose a b) (compose a g)) = % 3.14/3.30 compose (compose a b) (compose a g) % 3.14/3.30 |- ifeq (codomain b) (domain $X) % 3.14/3.30 (compose (domain a) (compose (compose a b) (domain $X))) % 3.14/3.30 (compose (compose a b) (domain $X)) = % 3.14/3.30 compose (compose a b) (domain $X) % 3.14/3.30 |- ifeq (codomain b) (codomain a) % 3.14/3.30 (compose (domain a) (compose (compose a b) g)) % 3.14/3.30 (compose (compose a b) g) = compose (compose a b) g % 3.14/3.30 |- ifeq (codomain b) (codomain a) % 3.14/3.30 (compose (domain a) (compose (compose a b) h)) % 3.14/3.30 (compose (compose a b) h) = compose (compose a b) h % 3.14/3.30 |- ifeq (codomain $_118) (codomain a) % 3.14/3.30 (compose (domain $_118) (compose $_118 b)) (compose $_118 b) = % 3.14/3.30 compose $_118 b % 3.14/3.30 |- ifeq (codomain $_118) (codomain $X) % 3.14/3.30 (compose (domain $_118) (compose $_118 (codomain $X))) % 3.14/3.30 (compose $_118 (codomain $X)) = compose $_118 (codomain $X) % 3.14/3.30 |- ifeq (codomain $_118) (domain a) % 3.14/3.30 (compose (domain $_118) (compose $_118 (compose a b))) % 3.14/3.30 (compose $_118 (compose a b)) = compose $_118 (compose a b) % 3.14/3.30 |- ifeq (codomain $_118) (domain a) % 3.14/3.30 (compose (domain $_118) (compose $_118 (compose a g))) % 3.14/3.30 (compose $_118 (compose a g)) = compose $_118 (compose a g) % 3.14/3.30 |- ifeq (codomain $_118) (domain $X) % 3.14/3.30 (compose (domain $_118) (compose $_118 (domain $X))) % 3.14/3.30 (compose $_118 (domain $X)) = compose $_118 (domain $X) % 3.14/3.30 |- ifeq (codomain $_118) (codomain a) % 3.14/3.30 (compose (domain $_118) (compose $_118 g)) (compose $_118 g) = % 3.14/3.30 compose $_118 g % 3.14/3.30 |- ifeq (codomain $_118) (codomain a) % 3.14/3.30 (compose (domain $_118) (compose $_118 h)) (compose $_118 h) = % 3.14/3.30 compose $_118 h % 3.14/3.30 |- ifeq (codomain $X) (codomain a) % 3.14/3.30 (compose (codomain $X) (compose (codomain $X) b)) % 3.14/3.30 (compose (codomain $X) b) = compose (codomain $X) b % 3.14/3.30 |- ifeq (domain $X) (codomain a) % 3.14/3.30 (compose (domain $X) (compose (domain $X) b)) % 3.14/3.30 (compose (domain $X) b) = compose (domain $X) b % 3.14/3.30 |- ifeq (codomain $X) (codomain a) % 3.14/3.30 (compose (codomain $X) (compose (codomain $X) g)) % 3.14/3.30 (compose (codomain $X) g) = compose (codomain $X) g % 3.14/3.30 |- ifeq (domain $X) (codomain a) % 3.14/3.30 (compose (domain $X) (compose (domain $X) g)) % 3.14/3.30 (compose (domain $X) g) = compose (domain $X) g % 3.14/3.30 |- ifeq (codomain $X) (codomain a) % 3.14/3.30 (compose (codomain $X) (compose (codomain $X) h)) % 3.14/3.30 (compose (codomain $X) h) = compose (codomain $X) h % 3.14/3.30 |- ifeq (domain $X) (codomain a) % 3.14/3.30 (compose (domain $X) (compose (domain $X) h)) % 3.14/3.30 (compose (domain $X) h) = compose (domain $X) h % 3.14/3.30 |- ifeq (codomain $_123) (codomain a) % 3.14/3.30 (compose $_123 (compose (codomain $_123) b)) (compose $_123 b) = % 3.14/3.30 compose $_123 b % 3.14/3.30 |- ifeq (codomain $_123) (codomain $X) % 3.14/3.30 (compose $_123 (compose (codomain $_123) (codomain $X))) % 3.14/3.30 (compose $_123 (codomain $X)) = compose $_123 (codomain $X) % 3.14/3.30 |- ifeq (codomain $_123) (domain a) % 3.14/3.30 (compose $_123 (compose (codomain $_123) (compose a b))) % 3.14/3.30 (compose $_123 (compose a b)) = compose $_123 (compose a b) % 3.14/3.30 |- ifeq (codomain $_123) (domain a) % 3.14/3.30 (compose $_123 (compose (codomain $_123) (compose a g))) % 3.14/3.30 (compose $_123 (compose a g)) = compose $_123 (compose a g) % 3.14/3.30 |- ifeq (codomain $_123) (domain $X) % 3.14/3.30 (compose $_123 (compose (codomain $_123) (domain $X))) % 3.14/3.30 (compose $_123 (domain $X)) = compose $_123 (domain $X) % 3.14/3.30 |- ifeq (codomain $_123) (codomain a) % 3.14/3.30 (compose $_123 (compose (codomain $_123) g)) (compose $_123 g) = % 3.14/3.30 compose $_123 g % 3.14/3.30 |- ifeq (codomain $_123) (codomain a) % 3.14/3.30 (compose $_123 (compose (codomain $_123) h)) (compose $_123 h) = % 3.14/3.30 compose $_123 h % 3.14/3.30 |- ifeq (codomain $_134) (domain a) % 3.14/3.30 (ifeq (compose $_134 (compose a b)) $_133 % 3.14/3.30 (ifeq (compose a b) $_133 (domain a) $_134) $_134) $_134 = $_134 % 3.14/3.30 |- ifeq (codomain $_134) (domain a) % 3.14/3.30 (ifeq (codomain $_132) (domain a) % 3.14/3.30 (ifeq (compose $_134 (compose a b)) (compose $_132 (compose a b)) % 3.14/3.30 $_132 $_134) $_134) $_134 = $_134 % 3.14/3.30 |- ifeq (codomain $_132) (domain a) % 3.14/3.30 (ifeq (compose a b) $_133 % 3.14/3.30 (ifeq (compose $_132 (compose a b)) $_133 $_132 (domain a)) % 3.14/3.30 (domain a)) (domain a) = domain a % 3.14/3.30 |- ifeq (codomain $_134) (domain a) % 3.14/3.30 (ifeq (codomain $_132) (domain a) % 3.14/3.30 (ifeq (compose $_132 (compose a b)) (compose $_134 (compose a b)) % 3.14/3.30 $_132 $_134) $_134) $_134 = $_134 % 3.14/3.30 |- ifeq (codomain $_134) (domain a) % 3.14/3.30 (ifeq (codomain $_1) (domain a) % 3.14/3.30 (ifeq (compose $_134 (compose a b)) $_133 % 3.14/3.30 (ifeq (compose (codomain $_1) (compose a b)) $_133 % 3.14/3.30 (codomain $_1) $_134) $_134) $_134) $_134 = $_134 % 3.14/3.30 |- ifeq (codomain $_134) (domain a) % 3.14/3.30 (ifeq (codomain b) (domain a) % 3.14/3.30 (ifeq (compose $_134 (compose a b)) $_133 % 3.14/3.30 (ifeq (compose (compose a b) (compose a b)) $_133 (compose a b) % 3.14/3.30 $_134) $_134) $_134) $_134 = $_134 % 3.14/3.30 |- ifeq (codomain $_134) (domain a) % 3.14/3.30 (ifeq (codomain g) (domain a) % 3.14/3.30 (ifeq (compose $_134 (compose a b)) $_133 % 3.14/3.30 (ifeq (compose (compose a g) (compose a b)) $_133 (compose a g) % 3.14/3.30 $_134) $_134) $_134) $_134 = $_134 % 3.14/3.30 |- ifeq (codomain $_134) (domain a) % 3.14/3.30 (ifeq (domain $X) (domain a) % 3.14/3.30 (ifeq (compose $_134 (compose a b)) $_133 % 3.14/3.30 (ifeq (compose (domain $X) (compose a b)) $_133 (domain $X) % 3.14/3.30 $_134) $_134) $_134) $_134 = $_134 % 3.14/3.30 |- ifeq (codomain $_134) (domain a) % 3.14/3.30 (ifeq (codomain g) (domain a) % 3.14/3.30 (ifeq (compose $_134 (compose a b)) $_133 % 3.14/3.30 (ifeq (compose h (compose a b)) $_133 h $_134) $_134) $_134) % 3.14/3.30 $_134 = $_134 % 3.14/3.30 |- ifeq (codomain $_1) (domain a) % 3.14/3.30 (ifeq (codomain $_132) (domain a) % 3.14/3.30 (ifeq (compose (codomain $_1) (compose a b)) $_133 % 3.14/3.30 (ifeq (compose $_132 (compose a b)) $_133 $_132 (codomain $_1)) % 3.14/3.30 (codomain $_1)) (codomain $_1)) (codomain $_1) = codomain $_1 % 3.14/3.30 |- ifeq (codomain b) (domain a) % 3.14/3.30 (ifeq (codomain $_132) (domain a) % 3.14/3.30 (ifeq (compose (compose a b) (compose a b)) $_133 % 3.14/3.30 (ifeq (compose $_132 (compose a b)) $_133 $_132 (compose a b)) % 3.14/3.30 (compose a b)) (compose a b)) (compose a b) = compose a b % 3.14/3.30 |- ifeq (codomain g) (domain a) % 3.14/3.30 (ifeq (codomain $_132) (domain a) % 3.14/3.30 (ifeq (compose (compose a g) (compose a b)) $_133 % 3.14/3.30 (ifeq (compose $_132 (compose a b)) $_133 $_132 (compose a g)) % 3.14/3.30 (compose a g)) (compose a g)) (compose a g) = compose a g % 3.14/3.30 |- ifeq (domain $X) (domain a) % 3.14/3.30 (ifeq (codomain $_132) (domain a) % 3.14/3.30 (ifeq (compose (domain $X) (compose a b)) $_133 % 3.14/3.30 (ifeq (compose $_132 (compose a b)) $_133 $_132 (domain $X)) % 3.14/3.30 (domain $X)) (domain $X)) (domain $X) = domain $X % 3.14/3.30 |- ifeq (codomain g) (domain a) % 3.14/3.30 (ifeq (codomain $_132) (domain a) % 3.14/3.30 (ifeq (compose h (compose a b)) $_133 % 3.14/3.30 (ifeq (compose $_132 (compose a b)) $_133 $_132 h) h) h) h = h % 3.14/3.30 |- ifeq (codomain $_137) (domain a) % 3.14/3.30 (ifeq (compose $_137 (compose a b)) (compose a b) (domain a) $_137) % 3.14/3.30 $_137 = $_137 % 3.14/3.30 |- ifeq (compose a b) $_136 % 3.14/3.30 (ifeq (compose a b) $_136 (domain a) (domain a)) (domain a) = domain a % 3.14/3.31 |- ifeq (codomain $_137) (domain a) % 3.14/3.31 (ifeq (compose a b) (compose $_137 (compose a b)) (domain a) $_137) % 3.14/3.31 $_137 = $_137 % 3.14/3.31 |- ifeq (codomain $_1) (domain a) % 3.14/3.31 (ifeq (compose (codomain $_1) (compose a b)) $_136 % 3.14/3.31 (ifeq (compose a b) $_136 (domain a) (codomain $_1)) % 3.14/3.31 (codomain $_1)) (codomain $_1) = codomain $_1 % 3.14/3.31 |- ifeq (codomain b) (domain a) % 3.14/3.31 (ifeq (compose (compose a b) (compose a b)) $_136 % 3.14/3.31 (ifeq (compose a b) $_136 (domain a) (compose a b)) (compose a b)) % 3.14/3.31 (compose a b) = compose a b % 3.14/3.31 |- ifeq (codomain g) (domain a) % 3.14/3.31 (ifeq (compose (compose a g) (compose a b)) $_136 % 3.14/3.31 (ifeq (compose a b) $_136 (domain a) (compose a g)) (compose a g)) % 3.14/3.31 (compose a g) = compose a g % 3.14/3.31 |- ifeq (domain $X) (domain a) % 3.14/3.31 (ifeq (compose (domain $X) (compose a b)) $_136 % 3.14/3.31 (ifeq (compose a b) $_136 (domain a) (domain $X)) (domain $X)) % 3.14/3.31 (domain $X) = domain $X % 3.14/3.31 |- ifeq (codomain g) (domain a) % 3.14/3.31 (ifeq (compose h (compose a b)) $_136 % 3.14/3.31 (ifeq (compose a b) $_136 (domain a) h) h) h = h % 3.14/3.31 |- ifeq (codomain $_1) (domain a) % 3.14/3.31 (ifeq (compose (codomain $_1) (compose a b)) (compose a b) (domain a) % 3.14/3.31 (codomain $_1)) (codomain $_1) = codomain $_1 % 3.14/3.31 |- ifeq (codomain b) (domain a) % 3.14/3.31 (ifeq (compose (compose a b) (compose a b)) (compose a b) (domain a) % 3.14/3.31 (compose a b)) (compose a b) = compose a b % 3.14/3.31 |- ifeq (codomain g) (domain a) % 3.14/3.31 (ifeq (compose (compose a g) (compose a b)) (compose a b) (domain a) % 3.14/3.31 (compose a g)) (compose a g) = compose a g % 3.14/3.31 |- ifeq (domain $X) (domain a) % 3.14/3.31 (ifeq (compose (domain $X) (compose a b)) (compose a b) (domain a) % 3.14/3.31 (domain $X)) (domain $X) = domain $X % 3.14/3.31 |- ifeq (codomain g) (domain a) % 3.14/3.31 (ifeq (compose h (compose a b)) (compose a b) (domain a) h) h = h % 3.14/3.31 |- ifeq (codomain $_1) (domain a) % 3.14/3.31 (ifeq (compose a b) (compose (codomain $_1) (compose a b)) (domain a) % 3.14/3.31 (codomain $_1)) (codomain $_1) = codomain $_1 % 3.14/3.31 |- ifeq (codomain b) (domain a) % 3.14/3.31 (ifeq (compose a b) (compose (compose a b) (compose a b)) (domain a) % 3.14/3.31 (compose a b)) (compose a b) = compose a b % 3.14/3.31 |- ifeq (codomain g) (domain a) % 3.14/3.31 (ifeq (compose a b) (compose (compose a g) (compose a b)) (domain a) % 3.14/3.31 (compose a g)) (compose a g) = compose a g % 3.14/3.31 |- ifeq (domain $X) (domain a) % 3.14/3.31 (ifeq (compose a b) (compose (domain $X) (compose a b)) (domain a) % 3.14/3.31 (domain $X)) (domain $X) = domain $X % 3.14/3.31 |- ifeq (codomain g) (domain a) % 3.14/3.31 (ifeq (compose a b) (compose h (compose a b)) (domain a) h) h = h % 3.14/3.31 |- ifeq (codomain $_1) (domain a) (compose (codomain $_1) (compose a b)) % 3.14/3.31 (compose (compose (codomain $_1) (compose a b)) (codomain b)) = % 3.14/3.31 compose (compose (codomain $_1) (compose a b)) (codomain b) % 3.14/3.31 |- ifeq (codomain b) (domain a) (compose (compose a b) (compose a b)) % 3.14/3.31 (compose (compose (compose a b) (compose a b)) (codomain b)) = % 3.14/3.31 compose (compose (compose a b) (compose a b)) (codomain b) % 3.14/3.31 |- ifeq (codomain g) (domain a) (compose (compose a g) (compose a b)) % 3.14/3.31 (compose (compose (compose a g) (compose a b)) (codomain b)) = % 3.14/3.31 compose (compose (compose a g) (compose a b)) (codomain b) % 3.14/3.31 |- ifeq (domain $X) (domain a) (compose (domain $X) (compose a b)) % 3.14/3.31 (compose (compose (domain $X) (compose a b)) (codomain b)) = % 3.14/3.31 compose (compose (domain $X) (compose a b)) (codomain b) % 3.14/3.31 |- ifeq (codomain g) (domain a) (compose h (compose a b)) % 3.14/3.31 (compose (compose h (compose a b)) (codomain b)) = % 3.14/3.31 compose (compose h (compose a b)) (codomain b) % 3.14/3.31 |- ifeq (codomain $_1) (domain a) (compose (codomain $_1) (compose a b)) % 3.14/3.31 (compose (compose (codomain $_1) (domain a)) (compose a b)) = % 3.14/3.31 compose (compose (codomain $_1) (domain a)) (compose a b) % 3.14/3.31 |- ifeq (codomain b) (domain a) (compose (compose a b) (compose a b)) % 3.14/3.31 (compose (compose (compose a b) (domain a)) (compose a b)) = % 3.14/3.31 compose (compose (compose a b) (domain a)) (compose a b) % 3.14/3.31 |- ifeq (codomain g) (domain a) (compose (compose a g) (compose a b)) % 3.14/3.31 (compose (compose (compose a g) (domain a)) (compose a b)) = % 3.14/3.31 compose (compose (compose a g) (domain a)) (compose a b) % 3.14/3.31 |- ifeq (domain $X) (domain a) (compose (domain $X) (compose a b)) % 3.14/3.31 (compose (compose (domain $X) (domain a)) (compose a b)) = % 3.14/3.31 compose (compose (domain $X) (domain a)) (compose a b) % 3.14/3.31 |- ifeq (codomain g) (domain a) (compose h (compose a b)) % 3.14/3.31 (compose (compose h (domain a)) (compose a b)) = % 3.14/3.31 compose (compose h (domain a)) (compose a b) % 3.14/3.31 |- ifeq (codomain $_1) (domain a) (compose (codomain $_1) (compose a g)) % 3.14/3.31 (compose (compose (codomain $_1) (domain a)) (compose a g)) = % 3.14/3.31 compose (compose (codomain $_1) (domain a)) (compose a g) % 3.14/3.31 |- ifeq (codomain b) (domain a) (compose (compose a b) (compose a g)) % 3.14/3.31 (compose (compose (compose a b) (domain a)) (compose a g)) = % 3.14/3.31 compose (compose (compose a b) (domain a)) (compose a g) % 3.14/3.31 |- ifeq (codomain g) (domain a) (compose (compose a g) (compose a g)) % 3.14/3.31 (compose (compose (compose a g) (domain a)) (compose a g)) = % 3.14/3.31 compose (compose (compose a g) (domain a)) (compose a g) % 3.14/3.31 |- ifeq (domain $X) (domain a) (compose (domain $X) (compose a g)) % 3.14/3.31 (compose (compose (domain $X) (domain a)) (compose a g)) = % 3.14/3.31 compose (compose (domain $X) (domain a)) (compose a g) % 3.14/3.31 |- ifeq (codomain g) (domain a) (compose h (compose a g)) % 3.14/3.31 (compose (compose h (domain a)) (compose a g)) = % 3.14/3.31 compose (compose h (domain a)) (compose a g) % 3.14/3.31 |- ifeq (codomain $X) (domain a) % 3.14/3.31 (compose (codomain $X) (compose (codomain $X) (compose a b))) % 3.14/3.31 (compose (codomain $X) (compose a b)) = % 3.14/3.31 compose (codomain $X) (compose a b) % 3.14/3.31 |- ifeq (domain $X) (domain a) % 3.14/3.31 (compose (domain $X) (compose (domain $X) (compose a b))) % 3.14/3.31 (compose (domain $X) (compose a b)) = % 3.14/3.31 compose (domain $X) (compose a b) % 3.14/3.31 |- ifeq (codomain $X) (domain a) % 3.14/3.31 (compose (codomain $X) (compose (codomain $X) (compose a g))) % 3.14/3.31 (compose (codomain $X) (compose a g)) = % 3.14/3.31 compose (codomain $X) (compose a g) % 3.14/3.31 |- ifeq (domain $X) (domain a) % 3.14/3.31 (compose (domain $X) (compose (domain $X) (compose a g))) % 3.14/3.31 (compose (domain $X) (compose a g)) = % 3.14/3.31 compose (domain $X) (compose a g) % 3.14/3.31 |- ifeq (codomain $_157) (codomain $X) % 3.14/3.31 (compose (codomain $_157) (compose (codomain $_157) (codomain $X))) % 3.14/3.31 (compose (codomain $_157) (codomain $X)) = % 3.14/3.31 compose (codomain $_157) (codomain $X) % 3.14/3.31 |- ifeq (codomain $_157) (domain $X) % 3.14/3.31 (compose (codomain $_157) (compose (codomain $_157) (domain $X))) % 3.14/3.31 (compose (codomain $_157) (domain $X)) = % 3.14/3.31 compose (codomain $_157) (domain $X) % 3.14/3.31 |- ifeq (domain $_159) (codomain $X) % 3.14/3.31 (compose (domain $_159) (compose (domain $_159) (codomain $X))) % 3.14/3.31 (compose (domain $_159) (codomain $X)) = % 3.14/3.31 compose (domain $_159) (codomain $X) % 3.14/3.31 |- ifeq (domain $_159) (domain $X) % 3.14/3.31 (compose (domain $_159) (compose (domain $_159) (domain $X))) % 3.14/3.31 (compose (domain $_159) (domain $X)) = % 3.14/3.31 compose (domain $_159) (domain $X) % 3.14/3.31 |- ifeq (codomain $_161) (domain a) % 3.14/3.31 (ifeq (compose a b) (compose $_161 (compose a b)) $_161 (domain a)) % 3.14/3.31 (domain a) = domain a % 3.14/3.31 |- ifeq (codomain $_161) (domain a) % 3.14/3.31 (ifeq (codomain $_161) (domain a) $_161 $_161) $_161 = $_161 % 3.14/3.31 |- ifeq (codomain $_162) (domain a) % 3.14/3.31 (ifeq (codomain $_1) (domain a) % 3.14/3.31 (ifeq (compose $_162 (compose a b)) % 3.14/3.31 (compose (codomain $_1) (compose a b)) (codomain $_1) $_162) % 3.14/3.31 $_162) $_162 = $_162 % 3.14/3.31 |- ifeq (codomain $_162) (domain a) % 3.14/3.31 (ifeq (codomain b) (domain a) % 3.14/3.31 (ifeq (compose $_162 (compose a b)) % 3.14/3.31 (compose (compose a b) (compose a b)) (compose a b) $_162) % 3.14/3.31 $_162) $_162 = $_162 % 3.14/3.31 |- ifeq (codomain $_162) (domain a) % 3.14/3.31 (ifeq (codomain g) (domain a) % 3.14/3.31 (ifeq (compose $_162 (compose a b)) % 3.14/3.31 (compose (compose a g) (compose a b)) (compose a g) $_162) % 3.14/3.31 $_162) $_162 = $_162 % 3.14/3.31 |- ifeq (codomain $_162) (domain a) % 3.14/3.31 (ifeq (domain $X) (domain a) % 3.14/3.31 (ifeq (compose $_162 (compose a b)) % 3.14/3.31 (compose (domain $X) (compose a b)) (domain $X) $_162) $_162) % 3.14/3.31 $_162 = $_162 % 3.14/3.31 |- ifeq (codomain $_162) (domain a) % 3.14/3.31 (ifeq (codomain g) (domain a) % 3.14/3.31 (ifeq (compose $_162 (compose a b)) (compose h (compose a b)) h % 3.14/3.31 $_162) $_162) $_162 = $_162 % 3.14/3.31 |- ifeq (codomain $_1) (domain a) % 3.14/3.31 (ifeq (codomain $_161) (domain a) % 3.14/3.31 (ifeq (compose (codomain $_1) (compose a b)) % 3.14/3.31 (compose $_161 (compose a b)) $_161 (codomain $_1)) % 3.14/3.31 (codomain $_1)) (codomain $_1) = codomain $_1 % 3.14/3.31 |- ifeq (codomain b) (domain a) % 3.14/3.31 (ifeq (codomain $_161) (domain a) % 3.14/3.31 (ifeq (compose (compose a b) (compose a b)) % 3.14/3.31 (compose $_161 (compose a b)) $_161 (compose a b)) % 3.14/3.31 (compose a b)) (compose a b) = compose a b % 3.14/3.31 |- ifeq (codomain g) (domain a) % 3.14/3.31 (ifeq (codomain $_161) (domain a) % 3.14/3.31 (ifeq (compose (compose a g) (compose a b)) % 3.14/3.31 (compose $_161 (compose a b)) $_161 (compose a g)) % 3.14/3.31 (compose a g)) (compose a g) = compose a g % 3.14/3.31 |- ifeq (domain $X) (domain a) % 3.14/3.31 (ifeq (codomain $_161) (domain a) % 3.14/3.31 (ifeq (compose (domain $X) (compose a b)) % 3.14/3.31 (compose $_161 (compose a b)) $_161 (domain $X)) (domain $X)) % 3.14/3.31 (domain $X) = domain $X % 3.14/3.31 |- ifeq (codomain g) (domain a) % 3.14/3.31 (ifeq (codomain $_161) (domain a) % 3.14/3.31 (ifeq (compose h (compose a b)) (compose $_161 (compose a b)) $_161 % 3.14/3.31 h) h) h = h % 3.14/3.31 |- ifeq (codomain $_1) (domain a) % 3.14/3.31 (ifeq (codomain $_1) (domain a) (codomain $_1) (codomain $_1)) % 3.14/3.31 (codomain $_1) = codomain $_1 % 3.14/3.31 |- ifeq (codomain b) (domain a) % 3.14/3.31 (ifeq (codomain b) (domain a) (compose a b) (compose a b)) % 3.14/3.31 (compose a b) = compose a b % 3.14/3.31 |- ifeq (codomain g) (domain a) % 3.14/3.31 (ifeq (codomain g) (domain a) (compose a g) (compose a g)) % 3.14/3.31 (compose a g) = compose a g % 3.14/3.31 |- ifeq (domain $X) (domain a) % 3.14/3.31 (ifeq (domain $X) (domain a) (domain $X) (domain $X)) (domain $X) = % 3.14/3.31 domain $X % 3.14/3.31 |- ifeq (codomain g) (domain a) (ifeq (codomain g) (domain a) h h) h = h % 3.14/3.31 |- ifeq (codomain $_1) (domain a) % 3.14/3.31 (ifeq (compose a b) (compose (codomain $_1) (compose a b)) % 3.14/3.31 (codomain $_1) (domain a)) (domain a) = domain a % 3.14/3.31 |- ifeq (codomain b) (domain a) % 3.14/3.31 (ifeq (compose a b) (compose (compose a b) (compose a b)) % 3.14/3.31 (compose a b) (domain a)) (domain a) = domain a % 3.14/3.31 |- ifeq (codomain g) (domain a) % 3.14/3.31 (ifeq (compose a b) (compose (compose a g) (compose a b)) % 3.14/3.31 (compose a g) (domain a)) (domain a) = domain a % 3.14/3.31 |- ifeq (domain $X) (domain a) % 3.14/3.31 (ifeq (compose a b) (compose (domain $X) (compose a b)) (domain $X) % 3.14/3.31 (domain a)) (domain a) = domain a % 3.14/3.31 |- ifeq (codomain g) (domain a) % 3.14/3.31 (ifeq (compose a b) (compose h (compose a b)) h (domain a)) % 3.14/3.31 (domain a) = domain a % 3.14/3.31 |- ifeq (codomain $_166) (domain a) % 3.14/3.31 (ifeq (compose $_166 (compose a b)) (compose a b) $_166 (domain a)) % 3.14/3.31 (domain a) = domain a % 3.14/3.31 |- ifeq (codomain $_167) (domain a) % 3.14/3.31 (ifeq (codomain $_1) (domain a) % 3.14/3.31 (ifeq (compose (codomain $_1) (compose a b)) % 3.14/3.31 (compose $_167 (compose a b)) (codomain $_1) $_167) $_167) % 3.14/3.31 $_167 = $_167 % 3.14/3.31 |- ifeq (codomain $_167) (domain a) % 3.14/3.31 (ifeq (codomain b) (domain a) % 3.14/3.31 (ifeq (compose (compose a b) (compose a b)) % 3.14/3.31 (compose $_167 (compose a b)) (compose a b) $_167) $_167) % 3.14/3.31 $_167 = $_167 % 3.14/3.31 |- ifeq (codomain $_167) (domain a) % 3.14/3.31 (ifeq (codomain g) (domain a) % 3.14/3.31 (ifeq (compose (compose a g) (compose a b)) % 3.14/3.31 (compose $_167 (compose a b)) (compose a g) $_167) $_167) % 3.14/3.31 $_167 = $_167 % 3.14/3.31 |- ifeq (codomain $_167) (domain a) % 3.14/3.31 (ifeq (domain $X) (domain a) % 3.14/3.31 (ifeq (compose (domain $X) (compose a b)) % 3.14/3.31 (compose $_167 (compose a b)) (domain $X) $_167) $_167) $_167 = % 3.14/3.31 $_167 % 3.14/3.31 |- ifeq (codomain $_167) (domain a) % 3.14/3.31 (ifeq (codomain g) (domain a) % 3.14/3.31 (ifeq (compose h (compose a b)) (compose $_167 (compose a b)) h % 3.14/3.31 $_167) $_167) $_167 = $_167 % 3.14/3.31 |- ifeq (codomain $_1) (domain a) % 3.14/3.31 (ifeq (codomain $_166) (domain a) % 3.14/3.31 (ifeq (compose $_166 (compose a b)) % 3.14/3.31 (compose (codomain $_1) (compose a b)) $_166 (codomain $_1)) % 3.14/3.31 (codomain $_1)) (codomain $_1) = codomain $_1 % 3.14/3.31 |- ifeq (codomain b) (domain a) % 3.14/3.31 (ifeq (codomain $_166) (domain a) % 3.14/3.31 (ifeq (compose $_166 (compose a b)) % 3.14/3.31 (compose (compose a b) (compose a b)) $_166 (compose a b)) % 3.14/3.31 (compose a b)) (compose a b) = compose a b % 3.14/3.31 |- ifeq (codomain g) (domain a) % 3.14/3.31 (ifeq (codomain $_166) (domain a) % 3.14/3.31 (ifeq (compose $_166 (compose a b)) % 3.14/3.31 (compose (compose a g) (compose a b)) $_166 (compose a g)) % 3.14/3.31 (compose a g)) (compose a g) = compose a g % 3.14/3.31 |- ifeq (domain $X) (domain a) % 3.14/3.31 (ifeq (codomain $_166) (domain a) % 3.14/3.31 (ifeq (compose $_166 (compose a b)) % 3.14/3.31 (compose (domain $X) (compose a b)) $_166 (domain $X)) % 3.14/3.31 (domain $X)) (domain $X) = domain $X % 3.14/3.31 |- ifeq (codomain g) (domain a) % 3.14/3.31 (ifeq (codomain $_166) (domain a) % 3.14/3.31 (ifeq (compose $_166 (compose a b)) (compose h (compose a b)) $_166 % 3.14/3.31 h) h) h = h % 3.14/3.31 |- ifeq (codomain $_1) (domain a) % 3.14/3.31 (ifeq (compose (codomain $_1) (compose a b)) (compose a b) % 3.14/3.31 (codomain $_1) (domain a)) (domain a) = domain a % 3.14/3.31 |- ifeq (codomain b) (domain a) % 3.14/3.31 (ifeq (compose (compose a b) (compose a b)) (compose a b) % 3.14/3.31 (compose a b) (domain a)) (domain a) = domain a % 3.14/3.31 |- ifeq (codomain g) (domain a) % 3.14/3.31 (ifeq (compose (compose a g) (compose a b)) (compose a b) % 3.14/3.31 (compose a g) (domain a)) (domain a) = domain a % 3.14/3.31 |- ifeq (domain $X) (domain a) % 3.14/3.31 (ifeq (compose (domain $X) (compose a b)) (compose a b) (domain $X) % 3.14/3.31 (domain a)) (domain a) = domain a % 3.14/3.31 |- ifeq (codomain g) (domain a) % 3.14/3.31 (ifeq (compose h (compose a b)) (compose a b) h (domain a)) % 3.14/3.31 (domain a) = domain a % 3.14/3.32 |- ifeq (codomain $_1) (domain a) (compose (codomain $_1) (compose a g)) % 3.14/3.32 (compose (compose (codomain $_1) (compose a g)) (codomain g)) = % 3.14/3.32 compose (compose (codomain $_1) (compose a g)) (codomain g) % 3.14/3.32 |- ifeq (codomain b) (domain a) (compose (compose a b) (compose a g)) % 3.14/3.32 (compose (compose (compose a b) (compose a g)) (codomain g)) = % 3.14/3.32 compose (compose (compose a b) (compose a g)) (codomain g) % 3.14/3.32 |- ifeq (codomain g) (domain a) (compose (compose a g) (compose a g)) % 3.14/3.32 (compose (compose (compose a g) (compose a g)) (codomain g)) = % 3.14/3.32 compose (compose (compose a g) (compose a g)) (codomain g) % 3.14/3.32 |- ifeq (domain $X) (domain a) (compose (domain $X) (compose a g)) % 3.14/3.32 (compose (compose (domain $X) (compose a g)) (codomain g)) = % 3.14/3.32 compose (compose (domain $X) (compose a g)) (codomain g) % 3.14/3.32 |- ifeq (codomain g) (domain a) (compose h (compose a g)) % 3.14/3.32 (compose (compose h (compose a g)) (codomain g)) = % 3.14/3.32 compose (compose h (compose a g)) (codomain g) % 3.14/3.32 |- ifeq (codomain $_179) (codomain a) (compose $_179 b) % 3.14/3.32 (compose (compose $_179 b) (codomain b)) = % 3.14/3.32 compose (compose $_179 b) (codomain b) % 3.14/3.32 |- ifeq (codomain $_179) (codomain a) (compose $_179 g) % 3.14/3.32 (compose (compose $_179 g) (codomain g)) = % 3.14/3.32 compose (compose $_179 g) (codomain g) % 3.14/3.32 |- ifeq (codomain $_1) (domain $_180) (compose (codomain $_1) $_180) % 3.14/3.32 (compose (compose (codomain $_1) $_180) (codomain $_180)) = % 3.14/3.32 compose (compose (codomain $_1) $_180) (codomain $_180) % 3.14/3.32 |- ifeq (codomain b) (domain $_180) (compose (compose a b) $_180) % 3.14/3.32 (compose (compose (compose a b) $_180) (codomain $_180)) = % 3.14/3.32 compose (compose (compose a b) $_180) (codomain $_180) % 3.14/3.32 |- ifeq (codomain g) (domain $_180) (compose (compose a g) $_180) % 3.14/3.32 (compose (compose (compose a g) $_180) (codomain $_180)) = % 3.14/3.32 compose (compose (compose a g) $_180) (codomain $_180) % 3.14/3.32 |- ifeq (domain $X) (domain $_180) (compose (domain $X) $_180) % 3.14/3.32 (compose (compose (domain $X) $_180) (codomain $_180)) = % 3.14/3.32 compose (compose (domain $X) $_180) (codomain $_180) % 3.14/3.32 |- ifeq (codomain g) (domain $_180) (compose h $_180) % 3.14/3.32 (compose (compose h $_180) (codomain $_180)) = % 3.14/3.32 compose (compose h $_180) (codomain $_180) % 3.14/3.32 |- ifeq (codomain $_1) (codomain a) (compose (codomain $_1) g) % 3.14/3.32 (compose (compose (codomain $_1) g) (codomain g)) = % 3.14/3.32 compose (compose (codomain $_1) g) (codomain g) % 3.14/3.32 |- ifeq (codomain b) (codomain a) (compose (compose a b) g) % 3.14/3.32 (compose (compose (compose a b) g) (codomain g)) = % 3.14/3.32 compose (compose (compose a b) g) (codomain g) % 3.14/3.32 |- ifeq (codomain g) (codomain a) (compose (compose a g) g) % 3.14/3.32 (compose (compose (compose a g) g) (codomain g)) = % 3.14/3.32 compose (compose (compose a g) g) (codomain g) % 3.14/3.32 |- ifeq (domain $X) (codomain a) (compose (domain $X) g) % 3.14/3.32 (compose (compose (domain $X) g) (codomain g)) = % 3.14/3.32 compose (compose (domain $X) g) (codomain g) % 3.14/3.32 |- ifeq (codomain g) (codomain a) (compose h g) % 3.14/3.32 (compose (compose h g) (codomain g)) = % 3.14/3.32 compose (compose h g) (codomain g) % 3.14/3.32 |- ifeq (codomain g) (codomain $_1) (compose h (codomain $_1)) % 3.14/3.32 (compose (compose h (codomain $_1)) (codomain $_1)) = % 3.14/3.32 compose (compose h (codomain $_1)) (codomain $_1) % 3.14/3.32 |- ifeq (codomain g) (domain $X) (compose h (domain $X)) % 3.14/3.32 (compose (compose h (domain $X)) (domain $X)) = % 3.14/3.32 compose (compose h (domain $X)) (domain $X) % 3.14/3.32 |- ifeq (codomain g) (codomain a) (compose h b) % 3.14/3.32 (compose (compose h b) (codomain b)) = % 3.14/3.32 compose (compose h b) (codomain b) % 3.14/3.32 |- ifeq (codomain $_1) (codomain a) (compose (codomain $_1) b) % 3.14/3.32 (compose (compose (codomain $_1) b) (codomain b)) = % 3.14/3.32 compose (compose (codomain $_1) b) (codomain b) % 3.14/3.32 |- ifeq (codomain b) (codomain a) (compose (compose a b) b) % 3.14/3.32 (compose (compose (compose a b) b) (codomain b)) = % 3.14/3.32 compose (compose (compose a b) b) (codomain b) % 3.14/3.32 |- ifeq (codomain g) (codomain a) (compose (compose a g) b) % 3.14/3.32 (compose (compose (compose a g) b) (codomain b)) = % 3.14/3.32 compose (compose (compose a g) b) (codomain b) % 3.14/3.32 |- ifeq (domain $X) (codomain a) (compose (domain $X) b) % 3.14/3.32 (compose (compose (domain $X) b) (codomain b)) = % 3.14/3.32 compose (compose (domain $X) b) (codomain b) % 3.14/3.32 |- ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (codomain $_1) (domain a) % 3.14/3.32 (ifeq (compose (codomain $_1) (compose a b)) % 3.14/3.32 (compose h (compose a b)) (codomain $_1) h) h) h = h % 3.14/3.32 |- ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (codomain b) (domain a) % 3.14/3.32 (ifeq (compose (compose a b) (compose a b)) % 3.14/3.32 (compose h (compose a b)) (compose a b) h) h) h = h % 3.14/3.32 |- ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (compose (compose a g) (compose a b)) % 3.14/3.32 (compose h (compose a b)) (compose a g) h) h) h = h % 3.14/3.32 |- ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (domain $X) (domain a) % 3.14/3.32 (ifeq (compose (domain $X) (compose a b)) (compose h (compose a b)) % 3.14/3.32 (domain $X) h) h) h = h % 3.14/3.32 |- ifeq (codomain $_1) (codomain $_187) % 3.14/3.32 (compose (codomain $_1) (codomain $_187)) % 3.14/3.32 (compose (compose (codomain $_1) (codomain $_187)) (codomain $_187)) = % 3.14/3.32 compose (compose (codomain $_1) (codomain $_187)) (codomain $_187) % 3.14/3.32 |- ifeq (codomain b) (codomain $_187) % 3.14/3.32 (compose (compose a b) (codomain $_187)) % 3.14/3.32 (compose (compose (compose a b) (codomain $_187)) (codomain $_187)) = % 3.14/3.32 compose (compose (compose a b) (codomain $_187)) (codomain $_187) % 3.14/3.32 |- ifeq (codomain g) (codomain $_187) % 3.14/3.32 (compose (compose a g) (codomain $_187)) % 3.14/3.32 (compose (compose (compose a g) (codomain $_187)) (codomain $_187)) = % 3.14/3.32 compose (compose (compose a g) (codomain $_187)) (codomain $_187) % 3.14/3.32 |- ifeq (domain $X) (codomain $_187) (compose (domain $X) (codomain $_187)) % 3.14/3.32 (compose (compose (domain $X) (codomain $_187)) (codomain $_187)) = % 3.14/3.32 compose (compose (domain $X) (codomain $_187)) (codomain $_187) % 3.14/3.32 |- ifeq (codomain $_1) (domain $_189) % 3.14/3.32 (compose (codomain $_1) (domain $_189)) % 3.14/3.32 (compose (compose (codomain $_1) (domain $_189)) (domain $_189)) = % 3.14/3.32 compose (compose (codomain $_1) (domain $_189)) (domain $_189) % 3.14/3.32 |- ifeq (codomain b) (domain $_189) (compose (compose a b) (domain $_189)) % 3.14/3.32 (compose (compose (compose a b) (domain $_189)) (domain $_189)) = % 3.14/3.32 compose (compose (compose a b) (domain $_189)) (domain $_189) % 3.14/3.32 |- ifeq (codomain g) (domain $_189) (compose (compose a g) (domain $_189)) % 3.14/3.32 (compose (compose (compose a g) (domain $_189)) (domain $_189)) = % 3.14/3.32 compose (compose (compose a g) (domain $_189)) (domain $_189) % 3.14/3.32 |- ifeq (domain $X) (domain $_189) (compose (domain $X) (domain $_189)) % 3.14/3.32 (compose (compose (domain $X) (domain $_189)) (domain $_189)) = % 3.14/3.32 compose (compose (domain $X) (domain $_189)) (domain $_189) % 3.14/3.32 |- ifeq (codomain $_1) (domain $_191) (compose (codomain $_1) $_191) % 3.14/3.32 (compose (compose (codomain $_1) (domain $_191)) $_191) = % 3.14/3.32 compose (compose (codomain $_1) (domain $_191)) $_191 % 3.14/3.32 |- ifeq (codomain b) (domain $_191) (compose (compose a b) $_191) % 3.14/3.32 (compose (compose (compose a b) (domain $_191)) $_191) = % 3.14/3.32 compose (compose (compose a b) (domain $_191)) $_191 % 3.14/3.32 |- ifeq (codomain g) (domain $_191) (compose (compose a g) $_191) % 3.14/3.32 (compose (compose (compose a g) (domain $_191)) $_191) = % 3.14/3.32 compose (compose (compose a g) (domain $_191)) $_191 % 3.14/3.32 |- ifeq (domain $X) (domain $_191) (compose (domain $X) $_191) % 3.14/3.32 (compose (compose (domain $X) (domain $_191)) $_191) = % 3.14/3.32 compose (compose (domain $X) (domain $_191)) $_191 % 3.14/3.32 |- ifeq (codomain g) (domain $_191) (compose h $_191) % 3.14/3.32 (compose (compose h (domain $_191)) $_191) = % 3.14/3.32 compose (compose h (domain $_191)) $_191 % 3.14/3.32 |- ifeq (codomain $_1) (domain a) % 3.14/3.32 (ifeq (compose a b) $_195 % 3.14/3.32 (ifeq (compose (codomain $_1) (compose a b)) $_195 (codomain $_1) % 3.14/3.32 (domain a)) (domain a)) (domain a) = domain a % 3.14/3.32 |- ifeq (codomain b) (domain a) % 3.14/3.32 (ifeq (compose a b) $_195 % 3.14/3.32 (ifeq (compose (compose a b) (compose a b)) $_195 (compose a b) % 3.14/3.32 (domain a)) (domain a)) (domain a) = domain a % 3.14/3.32 |- ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (compose a b) $_195 % 3.14/3.32 (ifeq (compose (compose a g) (compose a b)) $_195 (compose a g) % 3.14/3.32 (domain a)) (domain a)) (domain a) = domain a % 3.14/3.32 |- ifeq (domain $X) (domain a) % 3.14/3.32 (ifeq (compose a b) $_195 % 3.14/3.32 (ifeq (compose (domain $X) (compose a b)) $_195 (domain $X) % 3.14/3.32 (domain a)) (domain a)) (domain a) = domain a % 3.14/3.32 |- ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (compose a b) $_195 % 3.14/3.32 (ifeq (compose h (compose a b)) $_195 h (domain a)) (domain a)) % 3.14/3.32 (domain a) = domain a % 3.14/3.32 |- ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (codomain $_1) (domain a) % 3.14/3.32 (ifeq (compose h (compose a b)) % 3.14/3.32 (compose (codomain $_1) (compose a b)) (codomain $_1) h) h) h = % 3.14/3.32 h % 3.14/3.32 |- ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (codomain b) (domain a) % 3.14/3.32 (ifeq (compose h (compose a b)) % 3.14/3.32 (compose (compose a b) (compose a b)) (compose a b) h) h) h = h % 3.14/3.32 |- ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (compose h (compose a b)) % 3.14/3.32 (compose (compose a g) (compose a b)) (compose a g) h) h) h = h % 3.14/3.32 |- ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (domain $X) (domain a) % 3.14/3.32 (ifeq (compose h (compose a b)) (compose (domain $X) (compose a b)) % 3.14/3.32 (domain $X) h) h) h = h % 3.14/3.32 |- ifeq (codomain $_1) (domain a) % 3.14/3.32 (ifeq (codomain b) (domain a) % 3.14/3.32 (ifeq (compose (compose a b) (compose a b)) % 3.14/3.32 (compose (codomain $_1) (compose a b)) (compose a b) % 3.14/3.32 (codomain $_1)) (codomain $_1)) (codomain $_1) = codomain $_1 % 3.14/3.32 |- ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (codomain b) (domain a) % 3.14/3.32 (ifeq (compose (compose a b) (compose a b)) % 3.14/3.32 (compose (compose a g) (compose a b)) (compose a b) % 3.14/3.32 (compose a g)) (compose a g)) (compose a g) = compose a g % 3.14/3.32 |- ifeq (domain $X) (domain a) % 3.14/3.32 (ifeq (codomain b) (domain a) % 3.14/3.32 (ifeq (compose (compose a b) (compose a b)) % 3.14/3.32 (compose (domain $X) (compose a b)) (compose a b) (domain $X)) % 3.14/3.32 (domain $X)) (domain $X) = domain $X % 3.14/3.32 |- ifeq (codomain $_1) (domain a) % 3.14/3.32 (ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (compose (compose a g) (compose a b)) % 3.14/3.32 (compose (codomain $_1) (compose a b)) (compose a g) % 3.14/3.32 (codomain $_1)) (codomain $_1)) (codomain $_1) = codomain $_1 % 3.14/3.32 |- ifeq (codomain b) (domain a) % 3.14/3.32 (ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (compose (compose a g) (compose a b)) % 3.14/3.32 (compose (compose a b) (compose a b)) (compose a g) % 3.14/3.32 (compose a b)) (compose a b)) (compose a b) = compose a b % 3.14/3.32 |- ifeq (domain $X) (domain a) % 3.14/3.32 (ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (compose (compose a g) (compose a b)) % 3.14/3.32 (compose (domain $X) (compose a b)) (compose a g) (domain $X)) % 3.14/3.32 (domain $X)) (domain $X) = domain $X % 3.14/3.32 |- ifeq (codomain $_1) (domain a) % 3.14/3.32 (ifeq (codomain b) (domain a) % 3.14/3.32 (ifeq (compose (codomain $_1) (compose a b)) % 3.14/3.32 (compose (compose a b) (compose a b)) (compose a b) % 3.14/3.32 (codomain $_1)) (codomain $_1)) (codomain $_1) = codomain $_1 % 3.14/3.32 |- ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (codomain b) (domain a) % 3.14/3.32 (ifeq (compose (compose a g) (compose a b)) % 3.14/3.32 (compose (compose a b) (compose a b)) (compose a b) % 3.14/3.32 (compose a g)) (compose a g)) (compose a g) = compose a g % 3.14/3.32 |- ifeq (domain $X) (domain a) % 3.14/3.32 (ifeq (codomain b) (domain a) % 3.14/3.32 (ifeq (compose (domain $X) (compose a b)) % 3.14/3.32 (compose (compose a b) (compose a b)) (compose a b) (domain $X)) % 3.14/3.32 (domain $X)) (domain $X) = domain $X % 3.14/3.32 |- ifeq (codomain $_1) (domain a) % 3.14/3.32 (ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (compose (codomain $_1) (compose a b)) % 3.14/3.32 (compose (compose a g) (compose a b)) (compose a g) % 3.14/3.32 (codomain $_1)) (codomain $_1)) (codomain $_1) = codomain $_1 % 3.14/3.32 |- ifeq (codomain b) (domain a) % 3.14/3.32 (ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (compose (compose a b) (compose a b)) % 3.14/3.32 (compose (compose a g) (compose a b)) (compose a g) % 3.14/3.32 (compose a b)) (compose a b)) (compose a b) = compose a b % 3.14/3.32 |- ifeq (domain $X) (domain a) % 3.14/3.32 (ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (compose (domain $X) (compose a b)) % 3.14/3.32 (compose (compose a g) (compose a b)) (compose a g) (domain $X)) % 3.14/3.32 (domain $X)) (domain $X) = domain $X % 3.14/3.32 |- ifeq (codomain $_1) (domain a) % 3.14/3.32 (ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (compose (codomain $_1) (compose a b)) $_212 % 3.14/3.32 (ifeq (compose h (compose a b)) $_212 h (codomain $_1)) % 3.14/3.32 (codomain $_1)) (codomain $_1)) (codomain $_1) = codomain $_1 % 3.14/3.32 |- ifeq (codomain b) (domain a) % 3.14/3.32 (ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (compose (compose a b) (compose a b)) $_212 % 3.14/3.32 (ifeq (compose h (compose a b)) $_212 h (compose a b)) % 3.14/3.32 (compose a b)) (compose a b)) (compose a b) = compose a b % 3.14/3.32 |- ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (compose (compose a g) (compose a b)) $_212 % 3.14/3.32 (ifeq (compose h (compose a b)) $_212 h (compose a g)) % 3.14/3.32 (compose a g)) (compose a g)) (compose a g) = compose a g % 3.14/3.32 |- ifeq (domain $X) (domain a) % 3.14/3.32 (ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (compose (domain $X) (compose a b)) $_212 % 3.14/3.32 (ifeq (compose h (compose a b)) $_212 h (domain $X)) % 3.14/3.32 (domain $X)) (domain $X)) (domain $X) = domain $X % 3.14/3.32 |- ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (compose h (compose a b)) $_212 % 3.14/3.32 (ifeq (compose h (compose a b)) $_212 h h) h) h) h = h % 3.14/3.32 |- ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (codomain $_1) (domain a) % 3.14/3.32 (ifeq (compose h (compose a b)) $_216 % 3.14/3.32 (ifeq (compose (codomain $_1) (compose a b)) $_216 % 3.14/3.32 (codomain $_1) h) h) h) h = h % 3.14/3.32 |- ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (codomain b) (domain a) % 3.14/3.32 (ifeq (compose h (compose a b)) $_216 % 3.14/3.32 (ifeq (compose (compose a b) (compose a b)) $_216 (compose a b) % 3.14/3.32 h) h) h) h = h % 3.14/3.32 |- ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (compose h (compose a b)) $_216 % 3.14/3.32 (ifeq (compose (compose a g) (compose a b)) $_216 (compose a g) % 3.14/3.32 h) h) h) h = h % 3.14/3.32 |- ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (domain $X) (domain a) % 3.14/3.32 (ifeq (compose h (compose a b)) $_216 % 3.14/3.32 (ifeq (compose (domain $X) (compose a b)) $_216 (domain $X) h) % 3.14/3.32 h) h) h = h % 3.14/3.32 |- ifeq (codomain $_1) (domain a) % 3.14/3.32 (ifeq (codomain b) (domain a) % 3.14/3.32 (ifeq (compose (codomain $_1) (compose a b)) $_242 % 3.14/3.32 (ifeq (compose (compose a b) (compose a b)) $_242 (compose a b) % 3.14/3.32 (codomain $_1)) (codomain $_1)) (codomain $_1)) % 3.14/3.32 (codomain $_1) = codomain $_1 % 3.14/3.32 |- ifeq (codomain b) (domain a) % 3.14/3.32 (ifeq (codomain b) (domain a) % 3.14/3.32 (ifeq (compose (compose a b) (compose a b)) $_242 % 3.14/3.32 (ifeq (compose (compose a b) (compose a b)) $_242 (compose a b) % 3.14/3.32 (compose a b)) (compose a b)) (compose a b)) (compose a b) = % 3.14/3.32 compose a b % 3.14/3.32 |- ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (codomain b) (domain a) % 3.14/3.32 (ifeq (compose (compose a g) (compose a b)) $_242 % 3.14/3.32 (ifeq (compose (compose a b) (compose a b)) $_242 (compose a b) % 3.14/3.32 (compose a g)) (compose a g)) (compose a g)) (compose a g) = % 3.14/3.32 compose a g % 3.14/3.32 |- ifeq (domain $X) (domain a) % 3.14/3.32 (ifeq (codomain b) (domain a) % 3.14/3.32 (ifeq (compose (domain $X) (compose a b)) $_242 % 3.14/3.32 (ifeq (compose (compose a b) (compose a b)) $_242 (compose a b) % 3.14/3.32 (domain $X)) (domain $X)) (domain $X)) (domain $X) = % 3.14/3.32 domain $X % 3.14/3.32 |- ifeq (codomain $_1) (domain a) % 3.14/3.32 (ifeq (codomain g) (domain a) % 3.14/3.32 (ifeq (compose (codomain $_1) (compose a b)) $_244 % 3.14/3.32 (ifeq (compose (compose a g) (compose a b)) $_244 (compose a g) % 3.14/3.32 (codomain $_1)) (codomain $_1)) (codomain $_1)) % 3.14/3.32 (codomain $_1) = codomain $_1 % 3.14/3.33 |- ifeq (codomain b) (domain a) % 3.14/3.33 (ifeq (codomain g) (domain a) % 3.14/3.33 (ifeq (compose (compose a b) (compose a b)) $_244 % 3.14/3.33 (ifeq (compose (compose a g) (compose a b)) $_244 (compose a g) % 3.14/3.33 (compose a b)) (compose a b)) (compose a b)) (compose a b) = % 3.14/3.33 compose a b % 3.14/3.33 |- ifeq (codomain g) (domain a) % 3.14/3.33 (ifeq (codomain g) (domain a) % 3.14/3.33 (ifeq (compose (compose a g) (compose a b)) $_244 % 3.14/3.33 (ifeq (compose (compose a g) (compose a b)) $_244 (compose a g) % 3.14/3.33 (compose a g)) (compose a g)) (compose a g)) (compose a g) = % 3.14/3.33 compose a g % 3.14/3.33 |- ifeq (domain $X) (domain a) % 3.14/3.33 (ifeq (codomain g) (domain a) % 3.14/3.33 (ifeq (compose (domain $X) (compose a b)) $_244 % 3.14/3.33 (ifeq (compose (compose a g) (compose a b)) $_244 (compose a g) % 3.14/3.33 (domain $X)) (domain $X)) (domain $X)) (domain $X) = % 3.14/3.33 domain $X % 3.14/3.33 |- ifeq (codomain b) (domain a) % 3.14/3.33 (ifeq (codomain g) (domain a) % 3.14/3.33 (ifeq (compose (compose a b) (compose a b)) % 3.14/3.33 (compose h (compose a b)) h (compose a b)) (compose a b)) % 3.14/3.33 (compose a b) = compose a b % 3.14/3.33 |- ifeq (codomain b) (domain a) % 3.14/3.33 (ifeq (codomain g) (domain a) % 3.14/3.33 (ifeq (compose h (compose a b)) % 3.14/3.33 (compose (compose a b) (compose a b)) h (compose a b)) % 3.14/3.33 (compose a b)) (compose a b) = compose a b % 3.14/3.33 |- ifeq (codomain $_277) (codomain (compose h $_277)) % 3.14/3.33 (ifeq (codomain g) (domain $_277) % 3.14/3.33 (compose h (compose $_277 (codomain (compose h $_277)))) % 3.14/3.33 (compose h $_277)) (compose h $_277) = compose h $_277 % 3.14/3.33 |- ifeq (codomain b) (domain $_276) % 3.14/3.33 (ifeq (codomain g) (codomain a) (compose h (compose b $_276)) % 3.14/3.33 (compose (compose h b) $_276)) (compose (compose h b) $_276) = % 3.14/3.33 compose (compose h b) $_276 % 3.14/3.33 |- ifeq (codomain $X) (domain $_276) % 3.14/3.33 (ifeq (codomain g) (codomain $X) % 3.14/3.33 (compose h (compose (codomain $X) $_276)) % 3.14/3.33 (compose (compose h (codomain $X)) $_276)) % 3.14/3.33 (compose (compose h (codomain $X)) $_276) = % 3.14/3.33 compose (compose h (codomain $X)) $_276 % 3.14/3.33 |- ifeq (codomain b) (domain $_276) % 3.14/3.33 (ifeq (codomain g) (domain a) % 3.14/3.33 (compose h (compose (compose a b) $_276)) % 3.14/3.33 (compose (compose h (compose a b)) $_276)) % 3.14/3.33 (compose (compose h (compose a b)) $_276) = % 3.14/3.33 compose (compose h (compose a b)) $_276 % 3.14/3.33 |- ifeq (codomain g) (domain $_276) % 3.14/3.33 (ifeq (codomain g) (domain a) % 3.14/3.33 (compose h (compose (compose a g) $_276)) % 3.14/3.33 (compose (compose h (compose a g)) $_276)) % 3.14/3.33 (compose (compose h (compose a g)) $_276) = % 3.14/3.33 compose (compose h (compose a g)) $_276 % 3.14/3.33 |- ifeq (domain $X) (domain $_276) % 3.14/3.33 (ifeq (codomain g) (domain $X) (compose h (compose (domain $X) $_276)) % 3.14/3.33 (compose (compose h (domain $X)) $_276)) % 3.14/3.33 (compose (compose h (domain $X)) $_276) = % 3.14/3.33 compose (compose h (domain $X)) $_276 % 3.14/3.33 |- ifeq (codomain g) (domain $_276) % 3.14/3.33 (ifeq (codomain g) (codomain a) (compose h (compose g $_276)) % 3.14/3.33 (compose (compose h g) $_276)) (compose (compose h g) $_276) = % 3.14/3.33 compose (compose h g) $_276 % 3.14/3.33 |- ifeq (codomain g) (domain $_276) % 3.14/3.33 (ifeq (codomain g) (codomain a) (compose h (compose h $_276)) % 3.14/3.33 (compose (compose h h) $_276)) (compose (compose h h) $_276) = % 3.14/3.33 compose (compose h h) $_276 % 3.14/3.33 |- ifeq (codomain $_277) (codomain a) % 3.14/3.33 (ifeq (codomain g) (domain $_277) (compose h (compose $_277 b)) % 3.14/3.33 (compose (compose h $_277) b)) (compose (compose h $_277) b) = % 3.14/3.33 compose (compose h $_277) b % 3.14/3.33 |- ifeq (codomain $_277) (codomain $X) % 3.14/3.33 (ifeq (codomain g) (domain $_277) % 3.14/3.33 (compose h (compose $_277 (codomain $X))) % 3.14/3.33 (compose (compose h $_277) (codomain $X))) % 3.14/3.33 (compose (compose h $_277) (codomain $X)) = % 3.14/3.33 compose (compose h $_277) (codomain $X) % 3.14/3.33 |- ifeq (codomain $_277) (domain a) % 3.14/3.33 (ifeq (codomain g) (domain $_277) % 3.14/3.33 (compose h (compose $_277 (compose a b))) % 3.14/3.33 (compose (compose h $_277) (compose a b))) % 3.14/3.33 (compose (compose h $_277) (compose a b)) = % 3.14/3.33 compose (compose h $_277) (compose a b) % 3.14/3.33 |- ifeq (codomain $_277) (domain a) % 3.14/3.33 (ifeq (codomain g) (domain $_277) % 3.14/3.33 (compose h (compose $_277 (compose a g))) % 3.14/3.33 (compose (compose h $_277) (compose a g))) % 3.14/3.33 (compose (compose h $_277) (compose a g)) = % 3.14/3.33 compose (compose h $_277) (compose a g) % 3.14/3.33 |- ifeq (codomain $_277) (domain $X) % 3.14/3.33 (ifeq (codomain g) (domain $_277) % 3.14/3.33 (compose h (compose $_277 (domain $X))) % 3.14/3.33 (compose (compose h $_277) (domain $X))) % 3.14/3.33 (compose (compose h $_277) (domain $X)) = % 3.14/3.33 compose (compose h $_277) (domain $X) % 3.14/3.33 |- ifeq (codomain $_277) (codomain a) % 3.14/3.33 (ifeq (codomain g) (domain $_277) (compose h (compose $_277 g)) % 3.14/3.33 (compose (compose h $_277) g)) (compose (compose h $_277) g) = % 3.14/3.33 compose (compose h $_277) g % 3.14/3.33 |- ifeq (codomain $_277) (codomain a) % 3.14/3.33 (ifeq (codomain g) (domain $_277) (compose h (compose $_277 h)) % 3.14/3.33 (compose (compose h $_277) h)) (compose (compose h $_277) h) = % 3.14/3.33 compose (compose h $_277) h % 3.14/3.33 |- compose (compose h a) g = % 3.14/3.33 ifeq (codomain g) (domain a) (compose h (compose a g)) % 3.14/3.33 (compose (compose h a) g) % 3.14/3.33 |- ifeq (codomain b) (codomain a) % 3.14/3.33 (ifeq (codomain g) (codomain a) (compose h (compose b g)) % 3.14/3.33 (compose (compose h b) g)) (compose (compose h b) g) = % 3.14/3.33 compose (compose h b) g % 3.14/3.33 |- ifeq (codomain $X) (codomain a) % 3.14/3.33 (ifeq (codomain g) (codomain $X) (compose h (compose (codomain $X) g)) % 3.14/3.33 (compose (compose h (codomain $X)) g)) % 3.14/3.33 (compose (compose h (codomain $X)) g) = % 3.14/3.33 compose (compose h (codomain $X)) g % 3.14/3.33 |- ifeq (codomain b) (codomain a) % 3.14/3.33 (ifeq (codomain g) (domain a) (compose h (compose (compose a b) g)) % 3.14/3.33 (compose (compose h (compose a b)) g)) % 3.14/3.33 (compose (compose h (compose a b)) g) = % 3.14/3.33 compose (compose h (compose a b)) g % 3.14/3.33 |- ifeq (codomain g) (codomain a) % 3.14/3.33 (ifeq (codomain g) (domain a) (compose h (compose (compose a g) g)) % 3.14/3.33 (compose (compose h (compose a g)) g)) % 3.14/3.33 (compose (compose h (compose a g)) g) = % 3.14/3.33 compose (compose h (compose a g)) g % 3.14/3.33 |- ifeq (domain $X) (codomain a) % 3.14/3.33 (ifeq (codomain g) (domain $X) (compose h (compose (domain $X) g)) % 3.14/3.33 (compose (compose h (domain $X)) g)) % 3.14/3.33 (compose (compose h (domain $X)) g) = % 3.14/3.33 compose (compose h (domain $X)) g % 3.14/3.33 |- ifeq (codomain g) (codomain a) % 3.14/3.33 (ifeq (codomain g) (codomain a) (compose h (compose g g)) % 3.14/3.33 (compose (compose h g) g)) (compose (compose h g) g) = % 3.14/3.33 compose (compose h g) g % 3.14/3.33 |- ifeq (codomain g) (codomain a) % 3.14/3.33 (ifeq (codomain g) (codomain a) (compose h (compose h g)) % 3.14/3.33 (compose (compose h h) g)) (compose (compose h h) g) = % 3.14/3.33 compose (compose h h) g % 3.14/3.33 |- compose (compose $_279 a) b = % 3.14/3.33 ifeq (codomain $_279) (domain a) (compose $_279 (compose a b)) % 3.14/3.33 (compose (compose $_279 a) b) % 3.14/3.33 |- ifeq (codomain $_280) (codomain a) % 3.14/3.33 (ifeq (domain (compose $_280 b)) (domain $_280) (compose $_280 b) % 3.14/3.33 (compose (compose (domain (compose $_280 b)) $_280) b)) % 3.14/3.33 (compose (compose (domain (compose $_280 b)) $_280) b) = % 3.14/3.33 compose (compose (domain (compose $_280 b)) $_280) b % 3.14/3.33 |- ifeq (codomain b) (codomain a) % 3.14/3.33 (ifeq (codomain $_279) (codomain a) (compose $_279 (compose b b)) % 3.14/3.33 (compose (compose $_279 b) b)) (compose (compose $_279 b) b) = % 3.14/3.33 compose (compose $_279 b) b % 3.14/3.33 |- ifeq (codomain $X) (codomain a) % 3.14/3.33 (ifeq (codomain $_279) (codomain $X) % 3.14/3.33 (compose $_279 (compose (codomain $X) b)) % 3.14/3.33 (compose (compose $_279 (codomain $X)) b)) % 3.14/3.33 (compose (compose $_279 (codomain $X)) b) = % 3.14/3.33 compose (compose $_279 (codomain $X)) b % 3.14/3.33 |- ifeq (codomain b) (codomain a) % 3.14/3.33 (ifeq (codomain $_279) (domain a) % 3.14/3.33 (compose $_279 (compose (compose a b) b)) % 3.14/3.33 (compose (compose $_279 (compose a b)) b)) % 3.14/3.33 (compose (compose $_279 (compose a b)) b) = % 3.14/3.33 compose (compose $_279 (compose a b)) b % 3.14/3.33 |- ifeq (codomain g) (codomain a) % 3.14/3.33 (ifeq (codomain $_279) (domain a) % 3.14/3.33 (compose $_279 (compose (compose a g) b)) % 3.14/3.33 (compose (compose $_279 (compose a g)) b)) % 3.14/3.33 (compose (compose $_279 (compose a g)) b) = % 3.14/3.33 compose (compose $_279 (compose a g)) b % 3.14/3.33 |- ifeq (domain $X) (codomain a) % 3.14/3.33 (ifeq (codomain $_279) (domain $X) % 3.14/3.33 (compose $_279 (compose (domain $X) b)) % 3.14/3.33 (compose (compose $_279 (domain $X)) b)) % 3.14/3.33 (compose (compose $_279 (domain $X)) b) = % 3.14/3.33 compose (compose $_279 (domain $X)) b % 3.14/3.33 |- ifeq (codomain g) (codomain a) % 3.14/3.33 (ifeq (codomain $_279) (codomain a) (compose $_279 (compose g b)) % 3.14/3.33 (compose (compose $_279 g) b)) (compose (compose $_279 g) b) = % 3.14/3.33 compose (compose $_279 g) b % 3.14/3.33 |- ifeq (codomain g) (codomain a) % 3.14/3.33 (ifeq (codomain $_279) (codomain a) (compose $_279 (compose h b)) % 3.14/3.33 (compose (compose $_279 h) b)) (compose (compose $_279 h) b) = % 3.14/3.33 compose (compose $_279 h) b % 3.14/3.33 |- ifeq (codomain $_280) (codomain a) % 3.14/3.33 (ifeq (codomain $_1) (domain $_280) % 3.14/3.33 (compose (codomain $_1) (compose $_280 b)) % 3.14/3.33 (compose (compose (codomain $_1) $_280) b)) % 3.14/3.33 (compose (compose (codomain $_1) $_280) b) = % 3.14/3.33 compose (compose (codomain $_1) $_280) b % 3.14/3.33 |- ifeq (codomain $_280) (codomain a) % 3.14/3.33 (ifeq (codomain b) (domain $_280) % 3.14/3.33 (compose (compose a b) (compose $_280 b)) % 3.14/3.33 (compose (compose (compose a b) $_280) b)) % 3.14/3.33 (compose (compose (compose a b) $_280) b) = % 3.14/3.33 compose (compose (compose a b) $_280) b % 3.14/3.33 |- ifeq (codomain $_280) (codomain a) % 3.14/3.33 (ifeq (codomain g) (domain $_280) % 3.14/3.33 (compose (compose a g) (compose $_280 b)) % 3.14/3.33 (compose (compose (compose a g) $_280) b)) % 3.14/3.33 (compose (compose (compose a g) $_280) b) = % 3.14/3.33 compose (compose (compose a g) $_280) b % 3.14/3.33 |- ifeq (codomain $_280) (codomain a) % 3.14/3.33 (ifeq (domain $X) (domain $_280) % 3.14/3.33 (compose (domain $X) (compose $_280 b)) % 3.14/3.33 (compose (compose (domain $X) $_280) b)) % 3.14/3.33 (compose (compose (domain $X) $_280) b) = % 3.14/3.33 compose (compose (domain $X) $_280) b % 3.14/3.33 |- compose (compose (codomain $_1) a) b = % 3.14/3.33 ifeq (codomain $_1) (domain a) (compose (codomain $_1) (compose a b)) % 3.14/3.33 (compose (compose (codomain $_1) a) b) % 3.14/3.33 |- compose (compose (compose a b) a) b = % 3.14/3.33 ifeq (codomain b) (domain a) (compose (compose a b) (compose a b)) % 3.14/3.33 (compose (compose (compose a b) a) b) % 3.14/3.33 |- compose (compose (compose a g) a) b = % 3.14/3.33 ifeq (codomain g) (domain a) (compose (compose a g) (compose a b)) % 3.14/3.33 (compose (compose (compose a g) a) b) % 3.14/3.33 |- compose (compose (domain $X) a) b = % 3.14/3.33 ifeq (domain $X) (domain a) (compose (domain $X) (compose a b)) % 3.14/3.33 (compose (compose (domain $X) a) b) % 3.14/3.33 |- compose (compose h a) b = % 3.14/3.33 ifeq (codomain g) (domain a) (compose h (compose a b)) % 3.14/3.33 (compose (compose h a) b) % 3.14/3.33 |- ifeq (codomain g) (codomain a) % 3.14/3.33 (ifeq (domain (compose h b)) (codomain a) (compose h b) % 3.14/3.33 (compose (compose (domain (compose h b)) h) b)) % 3.14/3.33 (compose (compose (domain (compose h b)) h) b) = % 3.14/3.33 compose (compose (domain (compose h b)) h) b % 3.14/3.33 |- ifeq (codomain g) (codomain a) % 3.14/3.33 (ifeq (codomain $_1) (codomain a) % 3.14/3.33 (compose (codomain $_1) (compose h b)) % 3.14/3.33 (compose (compose (codomain $_1) h) b)) % 3.14/3.33 (compose (compose (codomain $_1) h) b) = % 3.14/3.33 compose (compose (codomain $_1) h) b % 3.14/3.33 |- ifeq (codomain g) (codomain a) % 3.14/3.33 (ifeq (codomain b) (codomain a) (compose (compose a b) (compose h b)) % 3.14/3.33 (compose (compose (compose a b) h) b)) % 3.14/3.33 (compose (compose (compose a b) h) b) = % 3.14/3.33 compose (compose (compose a b) h) b % 3.14/3.33 |- ifeq (codomain g) (codomain a) % 3.14/3.33 (ifeq (codomain g) (codomain a) (compose (compose a g) (compose h b)) % 3.14/3.33 (compose (compose (compose a g) h) b)) % 3.14/3.33 (compose (compose (compose a g) h) b) = % 3.14/3.33 compose (compose (compose a g) h) b % 3.14/3.33 |- ifeq (codomain g) (codomain a) % 3.14/3.33 (ifeq (domain $X) (codomain a) (compose (domain $X) (compose h b)) % 3.14/3.33 (compose (compose (domain $X) h) b)) % 3.14/3.33 (compose (compose (domain $X) h) b) = % 3.14/3.33 compose (compose (domain $X) h) b % 3.14/3.33 |- ifeq (codomain g) (codomain a) % 3.14/3.33 (ifeq (codomain g) (codomain a) (compose h (compose h b)) % 3.14/3.33 (compose (compose h h) b)) (compose (compose h h) b) = % 3.14/3.33 compose (compose h h) b % 3.14/3.33 |- compose (compose $_285 a) g = % 3.14/3.33 ifeq (codomain $_285) (domain a) (compose $_285 (compose a g)) % 3.14/3.33 (compose (compose $_285 a) g) % 3.14/3.33 |- ifeq (codomain $_286) (codomain a) % 3.14/3.33 (ifeq (domain (compose $_286 g)) (domain $_286) (compose $_286 g) % 3.14/3.33 (compose (compose (domain (compose $_286 g)) $_286) g)) % 3.14/3.33 (compose (compose (domain (compose $_286 g)) $_286) g) = % 3.14/3.33 compose (compose (domain (compose $_286 g)) $_286) g % 3.14/3.33 |- ifeq (codomain b) (codomain a) % 3.14/3.33 (ifeq (codomain $_285) (codomain a) (compose $_285 (compose b g)) % 3.14/3.33 (compose (compose $_285 b) g)) (compose (compose $_285 b) g) = % 3.14/3.33 compose (compose $_285 b) g % 3.14/3.33 |- ifeq (codomain $X) (codomain a) % 3.14/3.33 (ifeq (codomain $_285) (codomain $X) % 3.14/3.33 (compose $_285 (compose (codomain $X) g)) % 3.14/3.33 (compose (compose $_285 (codomain $X)) g)) % 3.14/3.33 (compose (compose $_285 (codomain $X)) g) = % 3.14/3.33 compose (compose $_285 (codomain $X)) g % 3.14/3.33 |- ifeq (codomain b) (codomain a) % 3.14/3.33 (ifeq (codomain $_285) (domain a) % 3.14/3.33 (compose $_285 (compose (compose a b) g)) % 3.14/3.33 (compose (compose $_285 (compose a b)) g)) % 3.14/3.33 (compose (compose $_285 (compose a b)) g) = % 3.14/3.33 compose (compose $_285 (compose a b)) g % 3.14/3.33 |- ifeq (codomain g) (codomain a) % 3.14/3.33 (ifeq (codomain $_285) (domain a) % 3.14/3.33 (compose $_285 (compose (compose a g) g)) % 3.14/3.33 (compose (compose $_285 (compose a g)) g)) % 3.14/3.33 (compose (compose $_285 (compose a g)) g) = % 3.14/3.33 compose (compose $_285 (compose a g)) g % 3.14/3.33 |- ifeq (domain $X) (codomain a) % 3.14/3.33 (ifeq (codomain $_285) (domain $X) % 3.14/3.33 (compose $_285 (compose (domain $X) g)) % 3.14/3.33 (compose (compose $_285 (domain $X)) g)) % 3.14/3.33 (compose (compose $_285 (domain $X)) g) = % 3.14/3.33 compose (compose $_285 (domain $X)) g % 3.14/3.33 |- ifeq (codomain g) (codomain a) % 3.14/3.33 (ifeq (codomain $_285) (codomain a) (compose $_285 (compose g g)) % 3.14/3.33 (compose (compose $_285 g) g)) (compose (compose $_285 g) g) = % 3.14/3.33 compose (compose $_285 g) g % 3.14/3.33 |- ifeq (codomain g) (codomain a) % 3.14/3.33 (ifeq (codomain $_285) (codomain a) (compose $_285 (compose h g)) % 3.14/3.33 (compose (compose $_285 h) g)) (compose (compose $_285 h) g) = % 3.14/3.33 compose (compose $_285 h) g % 3.14/3.33 |- ifeq (codomain $_286) (codomain a) % 3.14/3.33 (ifeq (codomain $_1) (domain $_286) % 3.14/3.33 (compose (codomain $_1) (compose $_286 g)) % 3.14/3.33 (compose (compose (codomain $_1) $_286) g)) % 3.14/3.33 (compose (compose (codomain $_1) $_286) g) = % 3.14/3.33 compose (compose (codomain $_1) $_286) g % 3.14/3.33 |- ifeq (codomain $_286) (codomain a) % 3.14/3.33 (ifeq (codomain b) (domain $_286) % 3.14/3.33 (compose (compose a b) (compose $_286 g)) % 3.14/3.33 (compose (compose (compose a b) $_286) g)) % 3.14/3.33 (compose (compose (compose a b) $_286) g) = % 3.14/3.33 compose (compose (compose a b) $_286) g % 3.14/3.33 |- ifeq (codomain $_286) (codomain a) % 3.14/3.33 (ifeq (codomain g) (domain $_286) % 3.14/3.33 (compose (compose a g) (compose $_286 g)) % 3.14/3.33 (compose (compose (compose a g) $_286) g)) % 3.14/3.33 (compose (compose (compose a g) $_286) g) = % 3.14/3.33 compose (compose (compose a g) $_286) g % 3.14/3.33 |- ifeq (codomain $_286) (codomain a) % 3.14/3.33 (ifeq (domain $X) (domain $_286) % 3.14/3.33 (compose (domain $X) (compose $_286 g)) % 3.14/3.33 (compose (compose (domain $X) $_286) g)) % 3.14/3.33 (compose (compose (domain $X) $_286) g) = % 3.14/3.33 compose (compose (domain $X) $_286) g % 3.14/3.33 |- compose (compose (codomain $_1) a) g = % 3.14/3.33 ifeq (codomain $_1) (domain a) (compose (codomain $_1) (compose a g)) % 3.14/3.33 (compose (compose (codomain $_1) a) g) % 3.14/3.33 |- compose (compose (compose a b) a) g = % 3.14/3.33 ifeq (codomain b) (domain a) (compose (compose a b) (compose a g)) % 3.14/3.33 (compose (compose (compose a b) a) g) % 3.14/3.33 |- compose (compose (compose a g) a) g = % 3.14/3.33 ifeq (codomain g) (domain a) (compose (compose a g) (compose a g)) % 3.14/3.33 (compose (compose (compose a g) a) g) % 3.14/3.33 |- compose (compose (domain $X) a) g = % 3.14/3.33 ifeq (domain $X) (domain a) (compose (domain $X) (compose a g)) % 3.14/3.33 (compose (compose (domain $X) a) g) % 3.14/3.33 |- ifeq (codomain g) (codomain a) % 3.14/3.33 (ifeq (domain (compose h g)) (codomain a) (compose h g) % 3.14/3.33 (compose (compose (domain (compose h g)) h) g)) % 3.14/3.33 (compose (compose (domain (compose h g)) h) g) = % 3.14/3.33 compose (compose (domain (compose h g)) h) g % 3.14/3.33 |- ifeq (codomain g) (codomain a) % 3.14/3.33 (ifeq (codomain $_1) (codomain a) % 3.14/3.33 (compose (codomain $_1) (compose h g)) % 3.14/3.33 (compose (compose (codomain $_1) h) g)) % 3.14/3.33 (compose (compose (codomain $_1) h) g) = % 3.14/3.33 compose (compose (codomain $_1) h) g % 3.14/3.33 |- ifeq (codomain g) (codomain a) % 3.14/3.33 (ifeq (codomain b) (codomain a) (compose (compose a b) (compose h g)) % 3.14/3.33 (compose (compose (compose a b) h) g)) % 3.14/3.33 (compose (compose (compose a b) h) g) = % 3.14/3.33 compose (compose (compose a b) h) g % 3.14/3.33 |- ifeq (codomain g) (codomain a) % 3.14/3.33 (ifeq (codomain g) (codomain a) (compose (compose a g) (compose h g)) % 3.14/3.33 (compose (compose (compose a g) h) g)) % 3.14/3.33 (compose (compose (compose a g) h) g) = % 3.14/3.33 compose (compose (compose a g) h) g % 3.14/3.33 |- ifeq (codomain g) (codomain a) % 3.14/3.33 (ifeq (domain $X) (codomain a) (compose (domain $X) (compose h g)) % 3.14/3.33 (compose (compose (domain $X) h) g)) % 3.14/3.33 (compose (compose (domain $X) h) g) = % 3.14/3.33 compose (compose (domain $X) h) g % 3.14/3.33 |- ifeq (codomain $_291) (codomain a) % 3.14/3.33 (ifeq (domain (compose $_291 h)) (domain $_291) (compose $_291 h) % 3.14/3.33 (compose (compose (domain (compose $_291 h)) $_291) h)) % 3.14/3.33 (compose (compose (domain (compose $_291 h)) $_291) h) = % 3.14/3.33 compose (compose (domain (compose $_291 h)) $_291) h % 3.14/3.33 |- ifeq (codomain b) (codomain a) % 3.14/3.33 (ifeq (codomain $_290) (codomain a) (compose $_290 (compose b h)) % 3.14/3.33 (compose (compose $_290 b) h)) (compose (compose $_290 b) h) = % 3.14/3.33 compose (compose $_290 b) h % 3.14/3.34 |- ifeq (codomain $X) (codomain a) % 3.14/3.34 (ifeq (codomain $_290) (codomain $X) % 3.14/3.34 (compose $_290 (compose (codomain $X) h)) % 3.14/3.34 (compose (compose $_290 (codomain $X)) h)) % 3.14/3.34 (compose (compose $_290 (codomain $X)) h) = % 3.14/3.34 compose (compose $_290 (codomain $X)) h % 3.14/3.34 |- ifeq (codomain b) (codomain a) % 3.14/3.34 (ifeq (codomain $_290) (domain a) % 3.14/3.34 (compose $_290 (compose (compose a b) h)) % 3.14/3.34 (compose (compose $_290 (compose a b)) h)) % 3.14/3.34 (compose (compose $_290 (compose a b)) h) = % 3.14/3.34 compose (compose $_290 (compose a b)) h % 3.14/3.34 |- ifeq (codomain g) (codomain a) % 3.14/3.34 (ifeq (codomain $_290) (domain a) % 3.14/3.34 (compose $_290 (compose (compose a g) h)) % 3.14/3.34 (compose (compose $_290 (compose a g)) h)) % 3.14/3.34 (compose (compose $_290 (compose a g)) h) = % 3.14/3.34 compose (compose $_290 (compose a g)) h % 3.14/3.34 |- ifeq (domain $X) (codomain a) % 3.14/3.34 (ifeq (codomain $_290) (domain $X) % 3.14/3.34 (compose $_290 (compose (domain $X) h)) % 3.14/3.34 (compose (compose $_290 (domain $X)) h)) % 3.14/3.34 (compose (compose $_290 (domain $X)) h) = % 3.14/3.34 compose (compose $_290 (domain $X)) h % 3.14/3.34 |- ifeq (codomain g) (codomain a) % 3.14/3.34 (ifeq (codomain $_290) (codomain a) (compose $_290 (compose g h)) % 3.14/3.34 (compose (compose $_290 g) h)) (compose (compose $_290 g) h) = % 3.14/3.34 compose (compose $_290 g) h % 3.14/3.34 |- ifeq (codomain g) (codomain a) % 3.14/3.34 (ifeq (codomain $_290) (codomain a) (compose $_290 (compose h h)) % 3.14/3.34 (compose (compose $_290 h) h)) (compose (compose $_290 h) h) = % 3.14/3.34 compose (compose $_290 h) h % 3.14/3.34 |- ifeq (codomain $_291) (codomain a) % 3.14/3.34 (ifeq (codomain $_1) (domain $_291) % 3.14/3.34 (compose (codomain $_1) (compose $_291 h)) % 3.14/3.34 (compose (compose (codomain $_1) $_291) h)) % 3.14/3.34 (compose (compose (codomain $_1) $_291) h) = % 3.14/3.34 compose (compose (codomain $_1) $_291) h % 3.14/3.34 |- ifeq (codomain $_291) (codomain a) % 3.14/3.34 (ifeq (codomain b) (domain $_291) % 3.14/3.34 (compose (compose a b) (compose $_291 h)) % 3.14/3.34 (compose (compose (compose a b) $_291) h)) % 3.14/3.34 (compose (compose (compose a b) $_291) h) = % 3.14/3.34 compose (compose (compose a b) $_291) h % 3.14/3.34 |- ifeq (codomain $_291) (codomain a) % 3.14/3.34 (ifeq (codomain g) (domain $_291) % 3.14/3.34 (compose (compose a g) (compose $_291 h)) % 3.14/3.34 (compose (compose (compose a g) $_291) h)) % 3.14/3.34 (compose (compose (compose a g) $_291) h) = % 3.14/3.34 compose (compose (compose a g) $_291) h % 3.14/3.34 |- ifeq (codomain $_291) (codomain a) % 3.14/3.34 (ifeq (domain $X) (domain $_291) % 3.14/3.34 (compose (domain $X) (compose $_291 h)) % 3.14/3.34 (compose (compose (domain $X) $_291) h)) % 3.14/3.34 (compose (compose (domain $X) $_291) h) = % 3.14/3.34 compose (compose (domain $X) $_291) h % 3.14/3.34 |- ifeq (codomain b) (codomain (compose h b)) % 3.14/3.34 (ifeq (codomain g) (codomain a) % 3.14/3.34 (compose h (compose b (codomain (compose h b)))) (compose h b)) % 3.14/3.34 (compose h b) = compose h b % 3.14/3.34 |- ifeq (codomain $X) (codomain (compose h (codomain $X))) % 3.14/3.34 (ifeq (codomain g) (codomain $X) % 3.14/3.34 (compose h % 3.14/3.34 (compose (codomain $X) (codomain (compose h (codomain $X))))) % 3.14/3.34 (compose h (codomain $X))) (compose h (codomain $X)) = % 3.14/3.34 compose h (codomain $X) % 3.14/3.34 |- ifeq (codomain b) (codomain (compose h (compose a b))) % 3.14/3.34 (ifeq (codomain g) (domain a) % 3.14/3.34 (compose h % 3.14/3.34 (compose (compose a b) (codomain (compose h (compose a b))))) % 3.14/3.34 (compose h (compose a b))) (compose h (compose a b)) = % 3.14/3.34 compose h (compose a b) % 3.14/3.34 |- ifeq (codomain g) (codomain (compose h (compose a g))) % 3.14/3.34 (ifeq (codomain g) (domain a) % 3.14/3.34 (compose h % 3.14/3.34 (compose (compose a g) (codomain (compose h (compose a g))))) % 3.14/3.34 (compose h (compose a g))) (compose h (compose a g)) = % 3.14/3.34 compose h (compose a g) % 3.14/3.34 |- ifeq (domain $X) (codomain (compose h (domain $X))) % 3.14/3.34 (ifeq (codomain g) (domain $X) % 3.14/3.34 (compose h % 3.14/3.34 (compose (domain $X) (codomain (compose h (domain $X))))) % 3.14/3.34 (compose h (domain $X))) (compose h (domain $X)) = % 3.14/3.34 compose h (domain $X) % 3.14/3.34 |- ifeq (codomain g) (codomain (compose h g)) % 3.14/3.34 (ifeq (codomain g) (codomain a) % 3.14/3.34 (compose h (compose g (codomain (compose h g)))) (compose h g)) % 3.14/3.34 (compose h g) = compose h g % 3.14/3.34 |- ifeq (codomain g) (codomain (compose h h)) % 3.14/3.34 (ifeq (codomain g) (codomain a) % 3.14/3.34 (compose h (compose h (codomain (compose h h)))) (compose h h)) % 3.14/3.34 (compose h h) = compose h h % 3.14/3.34 |- ifeq (codomain $_1) (domain a) % 3.14/3.34 (ifeq (codomain g) (domain a) % 3.14/3.34 (ifeq (compose h (compose a b)) % 3.14/3.34 (compose (codomain $_1) (compose a b)) h (codomain $_1)) % 3.14/3.34 (codomain $_1)) (codomain $_1) = codomain $_1 % 3.14/3.34 |- ifeq (codomain g) (domain a) % 3.14/3.34 (ifeq (codomain g) (domain a) % 3.14/3.34 (ifeq (compose h (compose a b)) % 3.14/3.34 (compose (compose a g) (compose a b)) h (compose a g)) % 3.14/3.34 (compose a g)) (compose a g) = compose a g % 3.14/3.34 |- ifeq (domain $X) (domain a) % 3.14/3.34 (ifeq (codomain g) (domain a) % 3.14/3.34 (ifeq (compose h (compose a b)) (compose (domain $X) (compose a b)) % 3.14/3.34 h (domain $X)) (domain $X)) (domain $X) = domain $X % 3.14/3.34 |- ifeq (codomain b) (codomain a) % 3.14/3.34 (ifeq (domain (compose b h)) (codomain a) (compose b h) % 3.14/3.34 (compose (compose (domain (compose b h)) b) h)) % 3.14/3.34 (compose (compose (domain (compose b h)) b) h) = % 3.14/3.34 compose (compose (domain (compose b h)) b) h % 3.14/3.34 |- ifeq (codomain b) (codomain a) % 3.14/3.34 (ifeq (codomain $_1) (codomain a) % 3.14/3.34 (compose (codomain $_1) (compose b h)) % 3.14/3.34 (compose (compose (codomain $_1) b) h)) % 3.14/3.34 (compose (compose (codomain $_1) b) h) = % 3.14/3.34 compose (compose (codomain $_1) b) h % 3.14/3.34 |- ifeq (codomain b) (codomain a) % 3.14/3.34 (ifeq (codomain b) (codomain a) (compose (compose a b) (compose b h)) % 3.14/3.34 (compose (compose (compose a b) b) h)) % 3.14/3.34 (compose (compose (compose a b) b) h) = % 3.14/3.34 compose (compose (compose a b) b) h % 3.14/3.34 |- ifeq (codomain b) (codomain a) % 3.14/3.34 (ifeq (codomain g) (codomain a) (compose (compose a g) (compose b h)) % 3.14/3.34 (compose (compose (compose a g) b) h)) % 3.14/3.34 (compose (compose (compose a g) b) h) = % 3.14/3.34 compose (compose (compose a g) b) h % 3.14/3.34 |- ifeq (codomain b) (codomain a) % 3.14/3.34 (ifeq (domain $X) (codomain a) (compose (domain $X) (compose b h)) % 3.14/3.34 (compose (compose (domain $X) b) h)) % 3.14/3.34 (compose (compose (domain $X) b) h) = % 3.14/3.34 compose (compose (domain $X) b) h % 3.14/3.34 |- ifeq (codomain b) (codomain a) % 3.14/3.34 (ifeq (codomain g) (codomain a) (compose h (compose b h)) % 3.14/3.34 (compose (compose h b) h)) (compose (compose h b) h) = % 3.14/3.34 compose (compose h b) h % 3.14/3.34 |- ifeq (codomain b) (codomain a) (compose a (compose b h)) % 3.14/3.34 (compose (compose a b) h) = compose (compose a b) h % 3.14/3.34 |- ifeq (codomain g) (codomain a) % 3.14/3.34 (ifeq (domain (compose g h)) (codomain a) (compose g h) % 3.14/3.34 (compose (compose (domain (compose g h)) g) h)) % 3.14/3.34 (compose (compose (domain (compose g h)) g) h) = % 3.14/3.34 compose (compose (domain (compose g h)) g) h % 3.14/3.34 |- ifeq (codomain g) (codomain a) % 3.14/3.34 (ifeq (codomain $_1) (codomain a) % 3.14/3.34 (compose (codomain $_1) (compose g h)) % 3.14/3.34 (compose (compose (codomain $_1) g) h)) % 3.14/3.34 (compose (compose (codomain $_1) g) h) = % 3.14/3.34 compose (compose (codomain $_1) g) h % 3.14/3.34 |- ifeq (codomain g) (codomain a) % 3.14/3.34 (ifeq (codomain b) (codomain a) (compose (compose a b) (compose g h)) % 3.14/3.34 (compose (compose (compose a b) g) h)) % 3.14/3.34 (compose (compose (compose a b) g) h) = % 3.14/3.34 compose (compose (compose a b) g) h % 3.14/3.34 |- ifeq (codomain g) (codomain a) % 3.14/3.34 (ifeq (codomain g) (codomain a) (compose (compose a g) (compose g h)) % 3.14/3.34 (compose (compose (compose a g) g) h)) % 3.14/3.34 (compose (compose (compose a g) g) h) = % 3.14/3.34 compose (compose (compose a g) g) h % 3.14/3.34 |- ifeq (codomain g) (codomain a) % 3.14/3.34 (ifeq (domain $X) (codomain a) (compose (domain $X) (compose g h)) % 3.14/3.34 (compose (compose (domain $X) g) h)) % 3.14/3.34 (compose (compose (domain $X) g) h) = % 3.14/3.34 compose (compose (domain $X) g) h % 3.14/3.34 |- ifeq (codomain g) (codomain a) % 3.14/3.34 (ifeq (codomain g) (codomain a) (compose h (compose g h)) % 3.14/3.34 (compose (compose h g) h)) (compose (compose h g) h) = % 3.14/3.34 compose (compose h g) h % 3.14/3.34 |- ifeq (codomain g) (codomain a) (compose a (compose g h)) % 3.14/3.34 (compose (compose a g) h) = compose (compose a g) h % 3.14/3.34 |- ifeq (codomain g) (codomain a) % 3.14/3.34 (ifeq (domain (compose h h)) (codomain a) (compose h h) % 3.14/3.34 (compose (compose (domain (compose h h)) h) h)) % 3.14/3.34 (compose (compose (domain (compose h h)) h) h) = % 3.14/3.34 compose (compose (domain (compose h h)) h) h % 3.14/3.34 |- ifeq (codomain g) (codomain a) % 3.14/3.34 (ifeq (codomain $_1) (codomain a) % 3.14/3.34 (compose (codomain $_1) (compose h h)) % 3.14/3.34 (compose (compose (codomain $_1) h) h)) % 3.14/3.34 (compose (compose (codomain $_1) h) h) = % 3.14/3.34 compose (compose (codomain $_1) h) h % 3.14/3.34 |- ifeq (codomain g) (codomain a) % 3.14/3.34 (ifeq (codomain b) (codomain a) (compose (compose a b) (compose h h)) % 3.14/3.34 (compose (compose (compose a b) h) h)) % 3.14/3.34 (compose (compose (compose a b) h) h) = % 3.14/3.34 compose (compose (compose a b) h) h % 3.14/3.34 |- ifeq (codomain g) (codomain a) % 3.14/3.34 (ifeq (codomain g) (codomain a) (compose (compose a g) (compose h h)) % 3.14/3.34 (compose (compose (compose a g) h) h)) % 3.14/3.34 (compose (compose (compose a g) h) h) = % 3.14/3.34 compose (compose (compose a g) h) h % 3.14/3.34 |- ifeq (codomain g) (codomain a) % 3.14/3.34 (ifeq (domain $X) (codomain a) (compose (domain $X) (compose h h)) % 3.14/3.34 (compose (compose (domain $X) h) h)) % 3.14/3.34 (compose (compose (domain $X) h) h) = % 3.14/3.34 compose (compose (domain $X) h) h % 3.14/3.34 |- ifeq (codomain g) (codomain a) % 3.14/3.34 (ifeq (codomain g) (codomain a) (compose h (compose h h)) % 3.14/3.34 (compose (compose h h) h)) (compose (compose h h) h) = % 3.14/3.34 compose (compose h h) h % 3.14/3.34 |- ifeq (codomain $_1) (domain a) % 3.14/3.34 (ifeq (codomain g) (domain a) % 3.14/3.34 (ifeq (compose (codomain $_1) (compose a b)) % 3.14/3.34 (compose h (compose a b)) h (codomain $_1)) (codomain $_1)) % 3.14/3.34 (codomain $_1) = codomain $_1 % 3.14/3.34 |- ifeq (codomain g) (domain a) % 3.14/3.34 (ifeq (codomain g) (domain a) % 3.14/3.34 (ifeq (compose (compose a g) (compose a b)) % 3.14/3.34 (compose h (compose a b)) h (compose a g)) (compose a g)) % 3.14/3.34 (compose a g) = compose a g % 3.14/3.34 |- ifeq (domain $X) (domain a) % 3.14/3.34 (ifeq (codomain g) (domain a) % 3.14/3.34 (ifeq (compose (domain $X) (compose a b)) (compose h (compose a b)) % 3.14/3.34 h (domain $X)) (domain $X)) (domain $X) = domain $X % 3.14/3.34 |- ifeq (codomain b) (codomain a) % 3.14/3.34 (ifeq (domain (compose b b)) (codomain a) (compose b b) % 3.14/3.34 (compose (compose (domain (compose b b)) b) b)) % 3.14/3.34 (compose (compose (domain (compose b b)) b) b) = % 3.14/3.34 compose (compose (domain (compose b b)) b) b % 3.14/3.34 |- ifeq (codomain b) (codomain a) % 3.14/3.34 (ifeq (codomain $_1) (codomain a) % 3.14/3.34 (compose (codomain $_1) (compose b b)) % 3.14/3.34 (compose (compose (codomain $_1) b) b)) % 3.14/3.34 (compose (compose (codomain $_1) b) b) = % 3.14/3.34 compose (compose (codomain $_1) b) b % 3.14/3.34 |- ifeq (codomain b) (codomain a) % 3.14/3.34 (ifeq (codomain b) (codomain a) (compose (compose a b) (compose b b)) % 3.14/3.34 (compose (compose (compose a b) b) b)) % 3.14/3.34 (compose (compose (compose a b) b) b) = % 3.14/3.34 compose (compose (compose a b) b) b % 3.14/3.34 |- ifeq (codomain b) (codomain a) % 3.14/3.34 (ifeq (codomain g) (codomain a) (compose (compose a g) (compose b b)) % 3.14/3.34 (compose (compose (compose a g) b) b)) % 3.14/3.34 (compose (compose (compose a g) b) b) = % 3.14/3.34 compose (compose (compose a g) b) b % 3.14/3.34 |- ifeq (codomain b) (codomain a) % 3.14/3.34 (ifeq (domain $X) (codomain a) (compose (domain $X) (compose b b)) % 3.14/3.34 (compose (compose (domain $X) b) b)) % 3.14/3.34 (compose (compose (domain $X) b) b) = % 3.14/3.34 compose (compose (domain $X) b) b % 3.14/3.34 |- ifeq (codomain b) (codomain a) % 3.14/3.34 (ifeq (codomain g) (codomain a) (compose h (compose b b)) % 3.14/3.34 (compose (compose h b) b)) (compose (compose h b) b) = % 3.14/3.34 compose (compose h b) b % 3.14/3.34 |- ifeq (codomain b) (codomain a) (compose a (compose b b)) % 3.14/3.34 (compose (compose a b) b) = compose (compose a b) b % 3.14/3.34 |- ifeq (codomain b) (codomain a) % 3.14/3.34 (ifeq (domain (compose b g)) (codomain a) (compose b g) % 3.14/3.34 (compose (compose (domain (compose b g)) b) g)) % 3.14/3.34 (compose (compose (domain (compose b g)) b) g) = % 3.14/3.34 compose (compose (domain (compose b g)) b) g % 3.14/3.34 |- ifeq (codomain b) (codomain a) % 3.14/3.34 (ifeq (codomain $_1) (codomain a) % 3.14/3.34 (compose (codomain $_1) (compose b g)) % 3.14/3.34 (compose (compose (codomain $_1) b) g)) % 3.14/3.34 (compose (compose (codomain $_1) b) g) = % 3.14/3.34 compose (compose (codomain $_1) b) g % 3.14/3.34 |- ifeq (codomain b) (codomain a) % 3.14/3.34 (ifeq (codomain b) (codomain a) (compose (compose a b) (compose b g)) % 3.14/3.34 (compose (compose (compose a b) b) g)) % 3.14/3.34 (compose (compose (compose a b) b) g) = % 3.14/3.34 compose (compose (compose a b) b) g % 3.14/3.34 |- ifeq (codomain b) (codomain a) % 3.14/3.34 (ifeq (codomain g) (codomain a) (compose (compose a g) (compose b g)) % 3.14/3.34 (compose (compose (compose a g) b) g)) % 3.14/3.34 (compose (compose (compose a g) b) g) = % 3.14/3.34 compose (compose (compose a g) b) g % 3.14/3.34 |- ifeq (codomain b) (codomain a) % 3.14/3.34 (ifeq (domain $X) (codomain a) (compose (domain $X) (compose b g)) % 3.14/3.34 (compose (compose (domain $X) b) g)) % 3.14/3.34 (compose (compose (domain $X) b) g) = % 3.14/3.34 compose (compose (domain $X) b) g % 3.14/3.34 |- ifeq (codomain b) (codomain a) (compose a (compose b g)) % 3.14/3.34 (compose (compose a b) g) = compose (compose a b) g % 3.14/3.34 |- ifeq (codomain g) (codomain a) % 3.14/3.34 (ifeq (domain (compose g g)) (codomain a) (compose g g) % 3.14/3.34 (compose (compose (domain (compose g g)) g) g)) % 3.14/3.34 (compose (compose (domain (compose g g)) g) g) = % 3.14/3.34 compose (compose (domain (compose g g)) g) g % 3.14/3.34 |- ifeq (codomain g) (codomain a) % 3.14/3.34 (ifeq (codomain $_1) (codomain a) % 3.14/3.34 (compose (codomain $_1) (compose g g)) % 3.14/3.34 (compose (compose (codomain $_1) g) g)) % 3.14/3.34 (compose (compose (codomain $_1) g) g) = % 3.14/3.34 compose (compose (codomain $_1) g) g % 3.14/3.34 |- ifeq (codomain g) (codomain a) % 3.14/3.34 (ifeq (codomain b) (codomain a) (compose (compose a b) (compose g g)) % 3.14/3.34 (compose (compose (compose a b) g) g)) % 3.14/3.34 (compose (compose (compose a b) g) g) = % 3.14/3.34 compose (compose (compose a b) g) g % 3.14/3.34 |- ifeq (codomain g) (codomain a) % 3.14/3.34 (ifeq (codomain g) (codomain a) (compose (compose a g) (compose g g)) % 3.14/3.34 (compose (compose (compose a g) g) g)) % 3.14/3.34 (compose (compose (compose a g) g) g) = % 3.14/3.34 compose (compose (compose a g) g) g % 3.14/3.34 |- ifeq (codomain g) (codomain a) % 3.14/3.34 (ifeq (domain $X) (codomain a) (compose (domain $X) (compose g g)) % 3.14/3.34 (compose (compose (domain $X) g) g)) % 3.14/3.34 (compose (compose (domain $X) g) g) = % 3.14/3.34 compose (compose (domain $X) g) g % 3.14/3.34 |- ifeq (codomain g) (codomain a) (compose a (compose g g)) % 3.14/3.34 (compose (compose a g) g) = compose (compose a g) g % 3.14/3.34 |- ifeq (codomain b) (domain a) % 3.14/3.34 (ifeq (codomain $_1) (domain a) % 3.14/3.34 (ifeq (compose (codomain $_1) (compose a b)) % 3.14/3.34 (compose (compose a b) (compose a b)) (codomain $_1) % 3.14/3.34 (compose a b)) (compose a b)) (compose a b) = compose a b % 3.14/3.34 |- ifeq (codomain b) (domain a) % 3.14/3.34 (ifeq (domain $X) (domain a) % 3.14/3.34 (ifeq (compose (domain $X) (compose a b)) % 3.14/3.34 (compose (compose a b) (compose a b)) (domain $X) (compose a b)) % 3.14/3.34 (compose a b)) (compose a b) = compose a b % 3.14/3.34 |- ifeq (codomain g) (domain a) % 3.14/3.34 (ifeq (codomain $_1) (domain a) % 3.14/3.34 (ifeq (compose (codomain $_1) (compose a b)) % 3.14/3.34 (compose (compose a g) (compose a b)) (codomain $_1) % 3.14/3.34 (compose a g)) (compose a g)) (compose a g) = compose a g % 3.14/3.34 |- ifeq (codomain g) (domain a) % 3.14/3.34 (ifeq (domain $X) (domain a) % 3.14/3.34 (ifeq (compose (domain $X) (compose a b)) % 3.14/3.34 (compose (compose a g) (compose a b)) (domain $X) (compose a g)) % 3.14/3.34 (compose a g)) (compose a g) = compose a g % 3.14/3.34 |- ifeq (codomain g) (codomain $X) % 3.14/3.34 (ifeq (codomain g) (codomain a) (compose h (compose h (codomain $X))) % 3.14/3.34 (compose (compose h h) (codomain $X))) % 3.14/3.34 (compose (compose h h) (codomain $X)) = % 3.14/3.34 compose (compose h h) (codomain $X) % 3.14/3.34 |- ifeq (codomain g) (domain a) % 3.14/3.34 (ifeq (codomain g) (codomain a) (compose h (compose h (compose a b))) % 3.14/3.34 (compose (compose h h) (compose a b))) % 3.14/3.34 (compose (compose h h) (compose a b)) = % 3.14/3.34 compose (compose h h) (compose a b) % 3.14/3.34 |- ifeq (codomain g) (domain a) % 3.14/3.34 (ifeq (codomain g) (codomain a) (compose h (compose h (compose a g))) % 3.14/3.34 (compose (compose h h) (compose a g))) % 3.14/3.34 (compose (compose h h) (compose a g)) = % 3.14/3.34 compose (compose h h) (compose a g) % 3.14/3.35 |- ifeq (codomain g) (domain $X) % 3.14/3.35 (ifeq (codomain g) (codomain a) (compose h (compose h (domain $X))) % 3.14/3.35 (compose (compose h h) (domain $X))) % 3.14/3.35 (compose (compose h h) (domain $X)) = % 3.14/3.35 compose (compose h h) (domain $X) % 3.14/3.35 |- ifeq (codomain $X) (codomain a) % 3.14/3.35 (ifeq (codomain g) (codomain $X) (compose h (compose (codomain $X) b)) % 3.14/3.35 (compose (compose h (codomain $X)) b)) % 3.14/3.35 (compose (compose h (codomain $X)) b) = % 3.14/3.35 compose (compose h (codomain $X)) b % 3.14/3.35 |- ifeq (codomain b) (codomain a) % 3.14/3.35 (ifeq (codomain g) (domain a) (compose h (compose (compose a b) b)) % 3.14/3.35 (compose (compose h (compose a b)) b)) % 3.14/3.35 (compose (compose h (compose a b)) b) = % 3.14/3.35 compose (compose h (compose a b)) b % 3.14/3.35 |- ifeq (codomain g) (codomain a) % 3.14/3.35 (ifeq (codomain g) (domain a) (compose h (compose (compose a g) b)) % 3.14/3.35 (compose (compose h (compose a g)) b)) % 3.14/3.35 (compose (compose h (compose a g)) b) = % 3.14/3.35 compose (compose h (compose a g)) b % 3.14/3.35 |- ifeq (domain $X) (codomain a) % 3.14/3.35 (ifeq (codomain g) (domain $X) (compose h (compose (domain $X) b)) % 3.14/3.35 (compose (compose h (domain $X)) b)) % 3.14/3.35 (compose (compose h (domain $X)) b) = % 3.14/3.35 compose (compose h (domain $X)) b % 3.14/3.35 |- ifeq (codomain g) (codomain a) % 3.14/3.35 (ifeq (codomain g) (codomain a) (compose h (compose g b)) % 3.14/3.35 (compose (compose h g) b)) (compose (compose h g) b) = % 3.14/3.35 compose (compose h g) b % 3.14/3.35 |- ifeq (codomain $X) (codomain a) % 3.14/3.35 (ifeq (codomain g) (codomain $X) (compose h (compose (codomain $X) h)) % 3.14/3.35 (compose (compose h (codomain $X)) h)) % 3.14/3.35 (compose (compose h (codomain $X)) h) = % 3.14/3.35 compose (compose h (codomain $X)) h % 3.14/3.35 |- ifeq (codomain b) (codomain a) % 3.14/3.35 (ifeq (codomain g) (domain a) (compose h (compose (compose a b) h)) % 3.14/3.35 (compose (compose h (compose a b)) h)) % 3.14/3.35 (compose (compose h (compose a b)) h) = % 3.14/3.35 compose (compose h (compose a b)) h % 3.14/3.35 |- ifeq (codomain g) (codomain a) % 3.14/3.35 (ifeq (codomain g) (domain a) (compose h (compose (compose a g) h)) % 3.14/3.35 (compose (compose h (compose a g)) h)) % 3.14/3.35 (compose (compose h (compose a g)) h) = % 3.14/3.35 compose (compose h (compose a g)) h % 3.14/3.35 |- ifeq (domain $X) (codomain a) % 3.14/3.35 (ifeq (codomain g) (domain $X) (compose h (compose (domain $X) h)) % 3.14/3.35 (compose (compose h (domain $X)) h)) % 3.14/3.35 (compose (compose h (domain $X)) h) = % 3.14/3.35 compose (compose h (domain $X)) h % 3.14/3.35 |- ifeq (codomain b) (domain a) % 3.14/3.35 (ifeq (codomain $_1) (domain a) % 3.14/3.35 (ifeq (compose (compose a b) (compose a b)) % 3.14/3.35 (compose (codomain $_1) (compose a b)) (codomain $_1) % 3.14/3.35 (compose a b)) (compose a b)) (compose a b) = compose a b % 3.14/3.35 |- ifeq (codomain b) (domain a) % 3.14/3.35 (ifeq (domain $X) (domain a) % 3.14/3.35 (ifeq (compose (compose a b) (compose a b)) % 3.14/3.35 (compose (domain $X) (compose a b)) (domain $X) (compose a b)) % 3.14/3.35 (compose a b)) (compose a b) = compose a b % 3.14/3.35 |- ifeq (codomain g) (domain a) % 3.14/3.35 (ifeq (codomain $_1) (domain a) % 3.14/3.35 (ifeq (compose (compose a g) (compose a b)) % 3.14/3.35 (compose (codomain $_1) (compose a b)) (codomain $_1) % 3.14/3.35 (compose a g)) (compose a g)) (compose a g) = compose a g % 3.14/3.35 |- ifeq (codomain g) (domain a) % 3.14/3.35 (ifeq (domain $X) (domain a) % 3.14/3.35 (ifeq (compose (compose a g) (compose a b)) % 3.14/3.35 (compose (domain $X) (compose a b)) (domain $X) (compose a g)) % 3.14/3.35 (compose a g)) (compose a g) = compose a g % 3.14/3.35 |- ifeq (codomain $_1) (domain a) % 3.14/3.35 (ifeq (codomain $_340) (domain a) % 3.14/3.35 (ifeq (compose (codomain $_340) (compose a b)) % 3.14/3.35 (compose (codomain $_1) (compose a b)) (codomain $_340) % 3.14/3.35 (codomain $_1)) (codomain $_1)) (codomain $_1) = codomain $_1 % 3.14/3.35 |- ifeq (domain $X) (domain a) % 3.14/3.35 (ifeq (codomain $_340) (domain a) % 3.14/3.35 (ifeq (compose (codomain $_340) (compose a b)) % 3.14/3.35 (compose (domain $X) (compose a b)) (codomain $_340) % 3.14/3.35 (domain $X)) (domain $X)) (domain $X) = domain $X % 3.14/3.35 |- ifeq (codomain $_1) (domain a) % 3.14/3.35 (ifeq (domain $_342) (domain a) % 3.14/3.35 (ifeq (compose (domain $_342) (compose a b)) % 3.14/3.35 (compose (codomain $_1) (compose a b)) (domain $_342) % 3.14/3.35 (codomain $_1)) (codomain $_1)) (codomain $_1) = codomain $_1 % 3.14/3.35 |- ifeq (domain $X) (domain a) % 3.14/3.35 (ifeq (domain $_342) (domain a) % 3.14/3.35 (ifeq (compose (domain $_342) (compose a b)) % 3.14/3.35 (compose (domain $X) (compose a b)) (domain $_342) (domain $X)) % 3.14/3.35 (domain $X)) (domain $X) = domain $X % 3.14/3.35 |- ifeq (codomain $_1) (domain a) % 3.14/3.35 (ifeq (codomain $_346) (domain a) % 3.14/3.35 (ifeq (compose (codomain $_1) (compose a b)) % 3.14/3.35 (compose (codomain $_346) (compose a b)) (codomain $_346) % 3.14/3.35 (codomain $_1)) (codomain $_1)) (codomain $_1) = codomain $_1 % 3.14/3.35 |- ifeq (domain $X) (domain a) % 3.14/3.35 (ifeq (codomain $_346) (domain a) % 3.14/3.35 (ifeq (compose (domain $X) (compose a b)) % 3.14/3.35 (compose (codomain $_346) (compose a b)) (codomain $_346) % 3.14/3.35 (domain $X)) (domain $X)) (domain $X) = domain $X % 3.14/3.35 |- ifeq (codomain $_1) (domain a) % 3.14/3.35 (ifeq (domain $_348) (domain a) % 3.14/3.35 (ifeq (compose (codomain $_1) (compose a b)) % 3.14/3.35 (compose (domain $_348) (compose a b)) (domain $_348) % 3.14/3.35 (codomain $_1)) (codomain $_1)) (codomain $_1) = codomain $_1 % 3.14/3.35 |- ifeq (domain $X) (domain a) % 3.14/3.35 (ifeq (domain $_348) (domain a) % 3.14/3.35 (ifeq (compose (domain $X) (compose a b)) % 3.14/3.35 (compose (domain $_348) (compose a b)) (domain $_348) % 3.14/3.35 (domain $X)) (domain $X)) (domain $X) = domain $X % 3.14/3.35 |- ifeq (codomain b) (domain a) % 3.14/3.35 (ifeq (codomain $_1) (domain a) % 3.14/3.35 (ifeq (compose (compose a b) (compose a b)) $_352 % 3.14/3.35 (ifeq (compose (codomain $_1) (compose a b)) $_352 % 3.14/3.35 (codomain $_1) (compose a b)) (compose a b)) (compose a b)) % 3.14/3.35 (compose a b) = compose a b % 3.14/3.35 |- ifeq (codomain b) (domain a) % 3.14/3.35 (ifeq (domain $X) (domain a) % 3.14/3.35 (ifeq (compose (compose a b) (compose a b)) $_352 % 3.14/3.35 (ifeq (compose (domain $X) (compose a b)) $_352 (domain $X) % 3.14/3.35 (compose a b)) (compose a b)) (compose a b)) (compose a b) = % 3.14/3.35 compose a b % 3.14/3.35 |- ifeq (codomain $_1) (domain a) % 3.14/3.35 (ifeq (codomain $_353) (domain a) % 3.14/3.35 (ifeq (compose (codomain $_1) (compose a b)) $_354 % 3.14/3.35 (ifeq (compose (codomain $_353) (compose a b)) $_354 % 3.14/3.35 (codomain $_353) (codomain $_1)) (codomain $_1)) % 3.14/3.35 (codomain $_1)) (codomain $_1) = codomain $_1 % 3.14/3.35 |- ifeq (codomain g) (domain a) % 3.14/3.35 (ifeq (codomain $_353) (domain a) % 3.14/3.35 (ifeq (compose (compose a g) (compose a b)) $_354 % 3.14/3.35 (ifeq (compose (codomain $_353) (compose a b)) $_354 % 3.14/3.35 (codomain $_353) (compose a g)) (compose a g)) (compose a g)) % 3.14/3.35 (compose a g) = compose a g % 3.14/3.35 |- ifeq (domain $X) (domain a) % 3.14/3.35 (ifeq (codomain $_353) (domain a) % 3.14/3.35 (ifeq (compose (domain $X) (compose a b)) $_354 % 3.14/3.35 (ifeq (compose (codomain $_353) (compose a b)) $_354 % 3.14/3.35 (codomain $_353) (domain $X)) (domain $X)) (domain $X)) % 3.14/3.35 (domain $X) = domain $X % 3.14/3.35 |- ifeq (codomain $_1) (domain a) % 3.14/3.35 (ifeq (domain $_356) (domain a) % 3.14/3.35 (ifeq (compose (codomain $_1) (compose a b)) $_357 % 3.14/3.35 (ifeq (compose (domain $_356) (compose a b)) $_357 % 3.14/3.35 (domain $_356) (codomain $_1)) (codomain $_1)) % 3.14/3.35 (codomain $_1)) (codomain $_1) = codomain $_1 % 3.14/3.35 |- ifeq (codomain g) (domain a) % 3.14/3.35 (ifeq (domain $_356) (domain a) % 3.14/3.35 (ifeq (compose (compose a g) (compose a b)) $_357 % 3.14/3.35 (ifeq (compose (domain $_356) (compose a b)) $_357 % 3.14/3.35 (domain $_356) (compose a g)) (compose a g)) (compose a g)) % 3.14/3.35 (compose a g) = compose a g % 3.14/3.35 |- ifeq (domain $X) (domain a) % 3.14/3.35 (ifeq (domain $_356) (domain a) % 3.14/3.35 (ifeq (compose (domain $X) (compose a b)) $_357 % 3.14/3.35 (ifeq (compose (domain $_356) (compose a b)) $_357 % 3.14/3.35 (domain $_356) (domain $X)) (domain $X)) (domain $X)) % 3.14/3.35 (domain $X) = domain $X % 3.14/3.35 |- ifeq (codomain g) (codomain a) % 3.14/3.35 (ifeq (domain (compose (compose a g) h)) (domain a) % 3.14/3.35 (compose (compose a g) h) % 3.14/3.35 (compose (compose (domain (compose (compose a g) h)) (compose a g)) % 3.14/3.35 h)) % 3.14/3.35 (compose (compose (domain (compose (compose a g) h)) (compose a g)) % 3.14/3.35 h) = % 3.14/3.35 compose (compose (domain (compose (compose a g) h)) (compose a g)) h % 3.14/3.35 |- ifeq (codomain g) (codomain a) % 3.14/3.35 (ifeq (codomain $_1) (domain a) % 3.14/3.35 (compose (codomain $_1) (compose (compose a g) h)) % 3.14/3.35 (compose (compose (codomain $_1) (compose a g)) h)) % 3.14/3.35 (compose (compose (codomain $_1) (compose a g)) h) = % 3.14/3.35 compose (compose (codomain $_1) (compose a g)) h % 3.14/3.35 |- ifeq (codomain g) (codomain a) % 3.14/3.35 (ifeq (codomain b) (domain a) % 3.14/3.35 (compose (compose a b) (compose (compose a g) h)) % 3.14/3.35 (compose (compose (compose a b) (compose a g)) h)) % 3.14/3.35 (compose (compose (compose a b) (compose a g)) h) = % 3.14/3.35 compose (compose (compose a b) (compose a g)) h % 3.14/3.35 |- ifeq (codomain g) (codomain a) % 3.14/3.35 (ifeq (codomain g) (domain a) % 3.14/3.35 (compose (compose a g) (compose (compose a g) h)) % 3.14/3.35 (compose (compose (compose a g) (compose a g)) h)) % 3.14/3.35 (compose (compose (compose a g) (compose a g)) h) = % 3.14/3.35 compose (compose (compose a g) (compose a g)) h % 3.14/3.35 |- ifeq (codomain g) (codomain a) % 3.14/3.35 (ifeq (domain $X) (domain a) % 3.14/3.35 (compose (domain $X) (compose (compose a g) h)) % 3.14/3.35 (compose (compose (domain $X) (compose a g)) h)) % 3.14/3.35 (compose (compose (domain $X) (compose a g)) h) = % 3.14/3.35 compose (compose (domain $X) (compose a g)) h % 3.14/3.35 |- ifeq (codomain $X) (codomain a) % 3.14/3.35 (ifeq (codomain g) (codomain $X) % 3.14/3.35 (compose (compose a g) (compose (codomain $X) h)) % 3.14/3.35 (compose (compose (compose a g) (codomain $X)) h)) % 3.14/3.35 (compose (compose (compose a g) (codomain $X)) h) = % 3.14/3.35 compose (compose (compose a g) (codomain $X)) h % 3.14/3.35 |- ifeq (codomain b) (codomain a) % 3.14/3.35 (ifeq (codomain g) (domain a) % 3.14/3.35 (compose (compose a g) (compose (compose a b) h)) % 3.14/3.35 (compose (compose (compose a g) (compose a b)) h)) % 3.14/3.35 (compose (compose (compose a g) (compose a b)) h) = % 3.14/3.35 compose (compose (compose a g) (compose a b)) h % 3.14/3.35 |- ifeq (domain $X) (codomain a) % 3.14/3.35 (ifeq (codomain g) (domain $X) % 3.14/3.35 (compose (compose a g) (compose (domain $X) h)) % 3.14/3.35 (compose (compose (compose a g) (domain $X)) h)) % 3.14/3.35 (compose (compose (compose a g) (domain $X)) h) = % 3.14/3.35 compose (compose (compose a g) (domain $X)) h % 3.14/3.35 |- ifeq (codomain b) (codomain a) % 3.14/3.35 (ifeq (domain (compose (compose a b) g)) (domain a) % 3.14/3.35 (compose (compose a b) g) % 3.14/3.35 (compose (compose (domain (compose (compose a b) g)) (compose a b)) % 3.14/3.35 g)) % 3.14/3.35 (compose (compose (domain (compose (compose a b) g)) (compose a b)) % 3.14/3.35 g) = % 3.14/3.35 compose (compose (domain (compose (compose a b) g)) (compose a b)) g % 3.14/3.35 |- ifeq (codomain b) (codomain a) % 3.14/3.35 (ifeq (codomain $_1) (domain a) % 3.14/3.35 (compose (codomain $_1) (compose (compose a b) g)) % 3.14/3.35 (compose (compose (codomain $_1) (compose a b)) g)) % 3.14/3.35 (compose (compose (codomain $_1) (compose a b)) g) = % 3.14/3.35 compose (compose (codomain $_1) (compose a b)) g % 3.14/3.35 |- ifeq (codomain b) (codomain a) % 3.14/3.35 (ifeq (codomain b) (domain a) % 3.14/3.35 (compose (compose a b) (compose (compose a b) g)) % 3.14/3.35 (compose (compose (compose a b) (compose a b)) g)) % 3.14/3.35 (compose (compose (compose a b) (compose a b)) g) = % 3.14/3.35 compose (compose (compose a b) (compose a b)) g % 3.14/3.35 |- ifeq (codomain b) (codomain a) % 3.14/3.35 (ifeq (codomain g) (domain a) % 3.14/3.35 (compose (compose a g) (compose (compose a b) g)) % 3.14/3.35 (compose (compose (compose a g) (compose a b)) g)) % 3.14/3.35 (compose (compose (compose a g) (compose a b)) g) = % 3.14/3.35 compose (compose (compose a g) (compose a b)) g % 3.14/3.35 |- ifeq (codomain b) (codomain a) % 3.14/3.35 (ifeq (domain $X) (domain a) % 3.14/3.35 (compose (domain $X) (compose (compose a b) g)) % 3.14/3.35 (compose (compose (domain $X) (compose a b)) g)) % 3.14/3.35 (compose (compose (domain $X) (compose a b)) g) = % 3.14/3.35 compose (compose (domain $X) (compose a b)) g % 3.14/3.35 |- ifeq (codomain b) (codomain $X) % 3.14/3.35 (ifeq (codomain g) (codomain a) (compose h (compose b (codomain $X))) % 3.14/3.35 (compose (compose h b) (codomain $X))) % 3.14/3.35 (compose (compose h b) (codomain $X)) = % 3.14/3.35 compose (compose h b) (codomain $X) % 3.14/3.35 |- ifeq (codomain b) (domain a) % 3.14/3.35 (ifeq (codomain g) (codomain a) (compose h (compose b (compose a b))) % 3.14/3.35 (compose (compose h b) (compose a b))) % 3.14/3.35 (compose (compose h b) (compose a b)) = % 3.14/3.35 compose (compose h b) (compose a b) % 3.14/3.35 |- ifeq (codomain b) (domain a) % 3.14/3.35 (ifeq (codomain g) (codomain a) (compose h (compose b (compose a g))) % 3.14/3.35 (compose (compose h b) (compose a g))) % 3.14/3.35 (compose (compose h b) (compose a g)) = % 3.14/3.35 compose (compose h b) (compose a g) % 3.14/3.35 |- ifeq (codomain b) (domain $X) % 3.14/3.35 (ifeq (codomain g) (codomain a) (compose h (compose b (domain $X))) % 3.14/3.35 (compose (compose h b) (domain $X))) % 3.14/3.35 (compose (compose h b) (domain $X)) = % 3.14/3.35 compose (compose h b) (domain $X) % 3.14/3.35 |- ifeq (codomain g) (codomain $X) % 3.14/3.35 (ifeq (codomain g) (codomain a) (compose h (compose g (codomain $X))) % 3.14/3.35 (compose (compose h g) (codomain $X))) % 3.14/3.35 (compose (compose h g) (codomain $X)) = % 3.14/3.35 compose (compose h g) (codomain $X) % 3.14/3.35 |- ifeq (codomain g) (domain a) % 3.14/3.35 (ifeq (codomain g) (codomain a) (compose h (compose g (compose a b))) % 3.14/3.35 (compose (compose h g) (compose a b))) % 3.14/3.35 (compose (compose h g) (compose a b)) = % 3.14/3.35 compose (compose h g) (compose a b) % 3.14/3.35 |- ifeq (codomain g) (domain a) % 3.14/3.35 (ifeq (codomain g) (codomain a) (compose h (compose g (compose a g))) % 3.14/3.35 (compose (compose h g) (compose a g))) % 3.14/3.35 (compose (compose h g) (compose a g)) = % 3.14/3.35 compose (compose h g) (compose a g) % 3.14/3.35 |- ifeq (codomain g) (domain $X) % 3.14/3.35 (ifeq (codomain g) (codomain a) (compose h (compose g (domain $X))) % 3.14/3.35 (compose (compose h g) (domain $X))) % 3.14/3.35 (compose (compose h g) (domain $X)) = % 3.14/3.35 compose (compose h g) (domain $X) % 3.14/3.35 |- ifeq (codomain $X) (codomain a) % 3.14/3.35 (ifeq (domain (compose (codomain $X) h)) (codomain $X) % 3.14/3.35 (compose (codomain $X) h) % 3.14/3.35 (compose (compose (domain (compose (codomain $X) h)) (codomain $X)) % 3.14/3.35 h)) % 3.14/3.35 (compose (compose (domain (compose (codomain $X) h)) (codomain $X)) % 3.14/3.35 h) = % 3.14/3.35 compose (compose (domain (compose (codomain $X) h)) (codomain $X)) h % 3.14/3.35 |- ifeq (codomain b) (codomain a) % 3.14/3.35 (ifeq (domain (compose (compose a b) h)) (domain a) % 3.14/3.35 (compose (compose a b) h) % 3.14/3.35 (compose (compose (domain (compose (compose a b) h)) (compose a b)) % 3.14/3.35 h)) % 3.14/3.35 (compose (compose (domain (compose (compose a b) h)) (compose a b)) % 3.14/3.35 h) = % 3.14/3.35 compose (compose (domain (compose (compose a b) h)) (compose a b)) h % 3.14/3.35 |- ifeq (domain $X) (codomain a) % 3.14/3.35 (ifeq (domain (compose (domain $X) h)) (domain $X) % 3.14/3.35 (compose (domain $X) h) % 3.14/3.35 (compose (compose (domain (compose (domain $X) h)) (domain $X)) h)) % 3.14/3.35 (compose (compose (domain (compose (domain $X) h)) (domain $X)) h) = % 3.14/3.35 compose (compose (domain (compose (domain $X) h)) (domain $X)) h % 3.14/3.35 |- ifeq (codomain b) (codomain (compose $_373 b)) % 3.14/3.35 (ifeq (codomain $_373) (codomain a) % 3.14/3.35 (compose $_373 (compose b (codomain (compose $_373 b)))) % 3.14/3.35 (compose $_373 b)) (compose $_373 b) = compose $_373 b % 3.14/3.36 |- ifeq (codomain $X) (codomain (compose $_373 (codomain $X))) % 3.14/3.36 (ifeq (codomain $_373) (codomain $X) % 3.14/3.36 (compose $_373 % 3.14/3.36 (compose (codomain $X) % 3.14/3.36 (codomain (compose $_373 (codomain $X))))) % 3.14/3.36 (compose $_373 (codomain $X))) (compose $_373 (codomain $X)) = % 3.14/3.36 compose $_373 (codomain $X) % 3.14/3.36 |- ifeq (codomain b) (codomain (compose $_373 (compose a b))) % 3.14/3.36 (ifeq (codomain $_373) (domain a) % 3.14/3.36 (compose $_373 % 3.14/3.36 (compose (compose a b) % 3.14/3.36 (codomain (compose $_373 (compose a b))))) % 3.14/3.36 (compose $_373 (compose a b))) (compose $_373 (compose a b)) = % 3.14/3.36 compose $_373 (compose a b) % 3.14/3.36 |- ifeq (codomain g) (codomain (compose $_373 (compose a g))) % 3.14/3.36 (ifeq (codomain $_373) (domain a) % 3.14/3.36 (compose $_373 % 3.14/3.36 (compose (compose a g) % 3.14/3.36 (codomain (compose $_373 (compose a g))))) % 3.14/3.36 (compose $_373 (compose a g))) (compose $_373 (compose a g)) = % 3.14/3.36 compose $_373 (compose a g) % 3.14/3.36 |- ifeq (domain $X) (codomain (compose $_373 (domain $X))) % 3.14/3.36 (ifeq (codomain $_373) (domain $X) % 3.14/3.36 (compose $_373 % 3.14/3.36 (compose (domain $X) (codomain (compose $_373 (domain $X))))) % 3.14/3.36 (compose $_373 (domain $X))) (compose $_373 (domain $X)) = % 3.14/3.36 compose $_373 (domain $X) % 3.14/3.36 |- ifeq (codomain g) (codomain (compose $_373 g)) % 3.14/3.36 (ifeq (codomain $_373) (codomain a) % 3.14/3.36 (compose $_373 (compose g (codomain (compose $_373 g)))) % 3.14/3.36 (compose $_373 g)) (compose $_373 g) = compose $_373 g % 3.14/3.36 |- ifeq (codomain g) (codomain (compose $_373 h)) % 3.14/3.36 (ifeq (codomain $_373) (codomain a) % 3.14/3.36 (compose $_373 (compose h (codomain (compose $_373 h)))) % 3.14/3.36 (compose $_373 h)) (compose $_373 h) = compose $_373 h % 3.14/3.36 |- ifeq (codomain $_374) (codomain (compose (codomain $_1) $_374)) % 3.14/3.36 (ifeq (codomain $_1) (domain $_374) % 3.14/3.36 (compose (codomain $_1) % 3.14/3.36 (compose $_374 (codomain (compose (codomain $_1) $_374)))) % 3.14/3.36 (compose (codomain $_1) $_374)) (compose (codomain $_1) $_374) = % 3.14/3.36 compose (codomain $_1) $_374 % 3.14/3.36 |- ifeq (codomain $_374) (codomain (compose (compose a b) $_374)) % 3.14/3.36 (ifeq (codomain b) (domain $_374) % 3.14/3.36 (compose (compose a b) % 3.14/3.36 (compose $_374 (codomain (compose (compose a b) $_374)))) % 3.14/3.36 (compose (compose a b) $_374)) (compose (compose a b) $_374) = % 3.14/3.36 compose (compose a b) $_374 % 3.14/3.36 |- ifeq (codomain $_374) (codomain (compose (compose a g) $_374)) % 3.14/3.36 (ifeq (codomain g) (domain $_374) % 3.14/3.36 (compose (compose a g) % 3.14/3.36 (compose $_374 (codomain (compose (compose a g) $_374)))) % 3.14/3.36 (compose (compose a g) $_374)) (compose (compose a g) $_374) = % 3.14/3.36 compose (compose a g) $_374 % 3.14/3.36 |- ifeq (codomain $_374) (codomain (compose (domain $X) $_374)) % 3.14/3.36 (ifeq (domain $X) (domain $_374) % 3.14/3.36 (compose (domain $X) % 3.14/3.36 (compose $_374 (codomain (compose (domain $X) $_374)))) % 3.14/3.36 (compose (domain $X) $_374)) (compose (domain $X) $_374) = % 3.14/3.36 compose (domain $X) $_374 % 3.14/3.36 |- ifeq (codomain g) (codomain (compose (codomain $_1) g)) % 3.14/3.36 (ifeq (codomain $_1) (codomain a) % 3.14/3.36 (compose (codomain $_1) % 3.14/3.36 (compose g (codomain (compose (codomain $_1) g)))) % 3.14/3.36 (compose (codomain $_1) g)) (compose (codomain $_1) g) = % 3.14/3.36 compose (codomain $_1) g % 3.14/3.36 |- ifeq (codomain g) (codomain (compose (compose a b) g)) % 3.14/3.36 (ifeq (codomain b) (codomain a) % 3.14/3.36 (compose (compose a b) % 3.14/3.36 (compose g (codomain (compose (compose a b) g)))) % 3.14/3.36 (compose (compose a b) g)) (compose (compose a b) g) = % 3.14/3.36 compose (compose a b) g % 3.14/3.36 |- ifeq (codomain g) (codomain (compose (compose a g) g)) % 3.14/3.36 (ifeq (codomain g) (codomain a) % 3.14/3.36 (compose (compose a g) % 3.14/3.36 (compose g (codomain (compose (compose a g) g)))) % 3.14/3.36 (compose (compose a g) g)) (compose (compose a g) g) = % 3.14/3.36 compose (compose a g) g % 3.14/3.36 |- ifeq (codomain g) (codomain (compose (domain $X) g)) % 3.14/3.36 (ifeq (domain $X) (codomain a) % 3.14/3.36 (compose (domain $X) % 3.14/3.36 (compose g (codomain (compose (domain $X) g)))) % 3.14/3.36 (compose (domain $X) g)) (compose (domain $X) g) = % 3.14/3.36 compose (domain $X) g % 3.14/3.36 |- ifeq (codomain b) (codomain (compose (codomain $_1) b)) % 3.14/3.36 (ifeq (codomain $_1) (codomain a) % 3.14/3.36 (compose (codomain $_1) % 3.14/3.36 (compose b (codomain (compose (codomain $_1) b)))) % 3.14/3.36 (compose (codomain $_1) b)) (compose (codomain $_1) b) = % 3.14/3.36 compose (codomain $_1) b % 3.14/3.36 |- ifeq (codomain b) (codomain (compose (compose a b) b)) % 3.14/3.36 (ifeq (codomain b) (codomain a) % 3.14/3.36 (compose (compose a b) % 3.14/3.36 (compose b (codomain (compose (compose a b) b)))) % 3.14/3.36 (compose (compose a b) b)) (compose (compose a b) b) = % 3.14/3.36 compose (compose a b) b % 3.14/3.36 |- ifeq (codomain b) (codomain (compose (compose a g) b)) % 3.14/3.36 (ifeq (codomain g) (codomain a) % 3.14/3.36 (compose (compose a g) % 3.14/3.36 (compose b (codomain (compose (compose a g) b)))) % 3.14/3.36 (compose (compose a g) b)) (compose (compose a g) b) = % 3.14/3.36 compose (compose a g) b % 3.14/3.36 |- ifeq (codomain b) (codomain (compose (domain $X) b)) % 3.14/3.36 (ifeq (domain $X) (codomain a) % 3.14/3.36 (compose (domain $X) % 3.14/3.36 (compose b (codomain (compose (domain $X) b)))) % 3.14/3.36 (compose (domain $X) b)) (compose (domain $X) b) = % 3.14/3.36 compose (domain $X) b % 3.14/3.36 |- ifeq (codomain g) (codomain (compose (codomain $_1) h)) % 3.14/3.36 (ifeq (codomain $_1) (codomain a) % 3.14/3.36 (compose (codomain $_1) % 3.14/3.36 (compose h (codomain (compose (codomain $_1) h)))) % 3.14/3.36 (compose (codomain $_1) h)) (compose (codomain $_1) h) = % 3.14/3.36 compose (codomain $_1) h % 3.14/3.36 |- ifeq (codomain g) (codomain (compose (compose a b) h)) % 3.14/3.36 (ifeq (codomain b) (codomain a) % 3.14/3.36 (compose (compose a b) % 3.14/3.36 (compose h (codomain (compose (compose a b) h)))) % 3.14/3.36 (compose (compose a b) h)) (compose (compose a b) h) = % 3.14/3.36 compose (compose a b) h % 3.14/3.36 |- ifeq (codomain g) (codomain (compose (compose a g) h)) % 3.14/3.36 (ifeq (codomain g) (codomain a) % 3.14/3.36 (compose (compose a g) % 3.14/3.36 (compose h (codomain (compose (compose a g) h)))) % 3.14/3.36 (compose (compose a g) h)) (compose (compose a g) h) = % 3.14/3.36 compose (compose a g) h % 3.14/3.36 |- ifeq (codomain g) (codomain (compose (domain $X) h)) % 3.14/3.36 (ifeq (domain $X) (codomain a) % 3.14/3.36 (compose (domain $X) % 3.14/3.36 (compose h (codomain (compose (domain $X) h)))) % 3.14/3.36 (compose (domain $X) h)) (compose (domain $X) h) = % 3.14/3.36 compose (domain $X) h % 3.14/3.36 |- ifeq (codomain g) (codomain (compose (codomain $_1) (compose a g))) % 3.14/3.36 (ifeq (codomain $_1) (domain a) % 3.14/3.36 (compose (codomain $_1) % 3.14/3.36 (compose (compose a g) % 3.14/3.36 (codomain (compose (codomain $_1) (compose a g))))) % 3.14/3.36 (compose (codomain $_1) (compose a g))) % 3.14/3.36 (compose (codomain $_1) (compose a g)) = % 3.14/3.36 compose (codomain $_1) (compose a g) % 3.14/3.36 |- ifeq (codomain g) (codomain (compose (compose a b) (compose a g))) % 3.14/3.36 (ifeq (codomain b) (domain a) % 3.14/3.36 (compose (compose a b) % 3.14/3.36 (compose (compose a g) % 3.14/3.36 (codomain (compose (compose a b) (compose a g))))) % 3.14/3.36 (compose (compose a b) (compose a g))) % 3.14/3.36 (compose (compose a b) (compose a g)) = % 3.14/3.36 compose (compose a b) (compose a g) % 3.14/3.36 |- ifeq (codomain g) (codomain (compose (compose a g) (compose a g))) % 3.14/3.36 (ifeq (codomain g) (domain a) % 3.14/3.36 (compose (compose a g) % 3.14/3.36 (compose (compose a g) % 3.14/3.36 (codomain (compose (compose a g) (compose a g))))) % 3.14/3.36 (compose (compose a g) (compose a g))) % 3.14/3.36 (compose (compose a g) (compose a g)) = % 3.14/3.36 compose (compose a g) (compose a g) % 3.14/3.36 |- ifeq (codomain g) (codomain (compose (domain $X) (compose a g))) % 3.14/3.36 (ifeq (domain $X) (domain a) % 3.14/3.36 (compose (domain $X) % 3.14/3.36 (compose (compose a g) % 3.14/3.36 (codomain (compose (domain $X) (compose a g))))) % 3.14/3.36 (compose (domain $X) (compose a g))) % 3.14/3.36 (compose (domain $X) (compose a g)) = % 3.14/3.36 compose (domain $X) (compose a g) % 3.14/3.36 |- ifeq (codomain b) (domain $_400) % 3.14/3.36 (ifeq (domain (compose b $_400)) (codomain a) (compose b $_400) % 3.14/3.36 (compose (compose (domain (compose b $_400)) b) $_400)) % 3.14/3.36 (compose (compose (domain (compose b $_400)) b) $_400) = % 3.14/3.36 compose (compose (domain (compose b $_400)) b) $_400 % 3.14/3.36 |- ifeq (codomain b) (domain $_400) % 3.14/3.36 (ifeq (codomain $_1) (codomain a) % 3.14/3.36 (compose (codomain $_1) (compose b $_400)) % 3.14/3.36 (compose (compose (codomain $_1) b) $_400)) % 3.14/3.36 (compose (compose (codomain $_1) b) $_400) = % 3.14/3.36 compose (compose (codomain $_1) b) $_400 % 3.14/3.36 |- ifeq (codomain b) (domain $_400) % 3.14/3.36 (ifeq (codomain b) (codomain a) % 3.14/3.36 (compose (compose a b) (compose b $_400)) % 3.14/3.36 (compose (compose (compose a b) b) $_400)) % 3.14/3.36 (compose (compose (compose a b) b) $_400) = % 3.14/3.36 compose (compose (compose a b) b) $_400 % 3.14/3.36 |- ifeq (codomain b) (domain $_400) % 3.14/3.36 (ifeq (codomain g) (codomain a) % 3.14/3.36 (compose (compose a g) (compose b $_400)) % 3.14/3.36 (compose (compose (compose a g) b) $_400)) % 3.14/3.36 (compose (compose (compose a g) b) $_400) = % 3.14/3.36 compose (compose (compose a g) b) $_400 % 3.14/3.36 |- ifeq (codomain b) (domain $_400) % 3.14/3.36 (ifeq (domain $X) (codomain a) (compose (domain $X) (compose b $_400)) % 3.14/3.36 (compose (compose (domain $X) b) $_400)) % 3.14/3.36 (compose (compose (domain $X) b) $_400) = % 3.14/3.36 compose (compose (domain $X) b) $_400 % 3.14/3.36 |- ifeq (codomain b) (domain $_400) (compose a (compose b $_400)) % 3.14/3.36 (compose (compose a b) $_400) = compose (compose a b) $_400 % 3.14/3.36 |- ifeq (codomain b) (codomain $X) % 3.14/3.36 (ifeq (codomain $_401) (codomain a) % 3.14/3.36 (compose $_401 (compose b (codomain $X))) % 3.14/3.36 (compose (compose $_401 b) (codomain $X))) % 3.14/3.36 (compose (compose $_401 b) (codomain $X)) = % 3.14/3.36 compose (compose $_401 b) (codomain $X) % 3.14/3.36 |- ifeq (codomain b) (domain a) % 3.14/3.36 (ifeq (codomain $_401) (codomain a) % 3.14/3.36 (compose $_401 (compose b (compose a b))) % 3.14/3.36 (compose (compose $_401 b) (compose a b))) % 3.14/3.36 (compose (compose $_401 b) (compose a b)) = % 3.14/3.36 compose (compose $_401 b) (compose a b) % 3.14/3.36 |- ifeq (codomain b) (domain a) % 3.14/3.36 (ifeq (codomain $_401) (codomain a) % 3.14/3.36 (compose $_401 (compose b (compose a g))) % 3.14/3.36 (compose (compose $_401 b) (compose a g))) % 3.14/3.36 (compose (compose $_401 b) (compose a g)) = % 3.14/3.36 compose (compose $_401 b) (compose a g) % 3.14/3.36 |- ifeq (codomain b) (domain $X) % 3.14/3.36 (ifeq (codomain $_401) (codomain a) % 3.14/3.36 (compose $_401 (compose b (domain $X))) % 3.14/3.36 (compose (compose $_401 b) (domain $X))) % 3.14/3.36 (compose (compose $_401 b) (domain $X)) = % 3.14/3.36 compose (compose $_401 b) (domain $X) % 3.14/3.36 |- ifeq (codomain b) (codomain $X) (compose a (compose b (codomain $X))) % 3.14/3.36 (compose (compose a b) (codomain $X)) = % 3.14/3.36 compose (compose a b) (codomain $X) % 3.14/3.36 |- ifeq (codomain b) (domain a) (compose a (compose b (compose a b))) % 3.14/3.36 (compose (compose a b) (compose a b)) = % 3.14/3.36 compose (compose a b) (compose a b) % 3.14/3.36 |- ifeq (codomain b) (domain a) (compose a (compose b (compose a g))) % 3.14/3.36 (compose (compose a b) (compose a g)) = % 3.14/3.36 compose (compose a b) (compose a g) % 3.14/3.36 |- ifeq (codomain b) (domain $X) (compose a (compose b (domain $X))) % 3.14/3.36 (compose (compose a b) (domain $X)) = % 3.14/3.36 compose (compose a b) (domain $X) % 3.14/3.36 |- ifeq (codomain b) (codomain $X) % 3.14/3.36 (ifeq (codomain g) (codomain a) % 3.14/3.36 (compose (compose a g) (compose b (codomain $X))) % 3.14/3.36 (compose (compose (compose a g) b) (codomain $X))) % 3.14/3.36 (compose (compose (compose a g) b) (codomain $X)) = % 3.14/3.36 compose (compose (compose a g) b) (codomain $X) % 3.14/3.36 |- ifeq (codomain b) (domain a) % 3.14/3.36 (ifeq (codomain g) (codomain a) % 3.14/3.36 (compose (compose a g) (compose b (compose a b))) % 3.14/3.36 (compose (compose (compose a g) b) (compose a b))) % 3.14/3.36 (compose (compose (compose a g) b) (compose a b)) = % 3.14/3.36 compose (compose (compose a g) b) (compose a b) % 3.14/3.36 |- ifeq (codomain b) (domain a) % 3.14/3.36 (ifeq (codomain g) (codomain a) % 3.14/3.36 (compose (compose a g) (compose b (compose a g))) % 3.14/3.36 (compose (compose (compose a g) b) (compose a g))) % 3.14/3.36 (compose (compose (compose a g) b) (compose a g)) = % 3.14/3.36 compose (compose (compose a g) b) (compose a g) % 3.14/3.36 |- ifeq (codomain b) (domain $X) % 3.14/3.36 (ifeq (codomain g) (codomain a) % 3.14/3.36 (compose (compose a g) (compose b (domain $X))) % 3.14/3.36 (compose (compose (compose a g) b) (domain $X))) % 3.14/3.36 (compose (compose (compose a g) b) (domain $X)) = % 3.14/3.36 compose (compose (compose a g) b) (domain $X) % 3.14/3.36 |- ifeq (codomain b) (domain a) % 3.14/3.36 (ifeq (domain (compose b (compose a b))) (codomain a) % 3.14/3.36 (compose b (compose a b)) % 3.14/3.36 (compose (compose (domain (compose b (compose a b))) b) % 3.14/3.36 (compose a b))) % 3.14/3.36 (compose (compose (domain (compose b (compose a b))) b) % 3.14/3.36 (compose a b)) = % 3.14/3.36 compose (compose (domain (compose b (compose a b))) b) (compose a b) % 3.14/3.36 |- ifeq (codomain b) (domain a) % 3.14/3.36 (ifeq (codomain $_1) (codomain a) % 3.14/3.36 (compose (codomain $_1) (compose b (compose a b))) % 3.14/3.36 (compose (compose (codomain $_1) b) (compose a b))) % 3.14/3.36 (compose (compose (codomain $_1) b) (compose a b)) = % 3.14/3.36 compose (compose (codomain $_1) b) (compose a b) % 3.14/3.36 |- ifeq (codomain b) (domain a) % 3.14/3.36 (ifeq (codomain b) (codomain a) % 3.14/3.36 (compose (compose a b) (compose b (compose a b))) % 3.14/3.36 (compose (compose (compose a b) b) (compose a b))) % 3.14/3.36 (compose (compose (compose a b) b) (compose a b)) = % 3.14/3.36 compose (compose (compose a b) b) (compose a b) % 3.14/3.36 |- ifeq (codomain b) (domain a) % 3.14/3.36 (ifeq (domain $X) (codomain a) % 3.14/3.36 (compose (domain $X) (compose b (compose a b))) % 3.14/3.36 (compose (compose (domain $X) b) (compose a b))) % 3.14/3.36 (compose (compose (domain $X) b) (compose a b)) = % 3.14/3.36 compose (compose (domain $X) b) (compose a b) % 3.14/3.36 |- ifeq (codomain g) (domain $_407) % 3.14/3.36 (ifeq (domain (compose g $_407)) (codomain a) (compose g $_407) % 3.14/3.36 (compose (compose (domain (compose g $_407)) g) $_407)) % 3.14/3.36 (compose (compose (domain (compose g $_407)) g) $_407) = % 3.14/3.36 compose (compose (domain (compose g $_407)) g) $_407 % 3.14/3.36 |- ifeq (codomain g) (domain $_407) % 3.14/3.36 (ifeq (codomain $_1) (codomain a) % 3.14/3.36 (compose (codomain $_1) (compose g $_407)) % 3.14/3.36 (compose (compose (codomain $_1) g) $_407)) % 3.14/3.36 (compose (compose (codomain $_1) g) $_407) = % 3.14/3.36 compose (compose (codomain $_1) g) $_407 % 3.14/3.36 |- ifeq (codomain g) (domain $_407) % 3.14/3.36 (ifeq (codomain b) (codomain a) % 3.14/3.36 (compose (compose a b) (compose g $_407)) % 3.14/3.36 (compose (compose (compose a b) g) $_407)) % 3.14/3.36 (compose (compose (compose a b) g) $_407) = % 3.14/3.36 compose (compose (compose a b) g) $_407 % 3.14/3.36 |- ifeq (codomain g) (domain $_407) % 3.14/3.36 (ifeq (codomain g) (codomain a) % 3.14/3.36 (compose (compose a g) (compose g $_407)) % 3.14/3.36 (compose (compose (compose a g) g) $_407)) % 3.14/3.36 (compose (compose (compose a g) g) $_407) = % 3.14/3.36 compose (compose (compose a g) g) $_407 % 3.14/3.36 |- ifeq (codomain g) (domain $_407) % 3.14/3.36 (ifeq (domain $X) (codomain a) (compose (domain $X) (compose g $_407)) % 3.14/3.36 (compose (compose (domain $X) g) $_407)) % 3.14/3.36 (compose (compose (domain $X) g) $_407) = % 3.14/3.36 compose (compose (domain $X) g) $_407 % 3.14/3.36 |- ifeq (codomain g) (domain $_407) (compose a (compose g $_407)) % 3.14/3.36 (compose (compose a g) $_407) = compose (compose a g) $_407 % 3.14/3.36 |- ifeq (codomain g) (codomain $X) % 3.14/3.36 (ifeq (codomain $_408) (codomain a) % 3.14/3.36 (compose $_408 (compose g (codomain $X))) % 3.14/3.36 (compose (compose $_408 g) (codomain $X))) % 3.14/3.36 (compose (compose $_408 g) (codomain $X)) = % 3.14/3.36 compose (compose $_408 g) (codomain $X) % 3.14/3.36 |- ifeq (codomain g) (domain a) % 3.14/3.36 (ifeq (codomain $_408) (codomain a) % 3.14/3.36 (compose $_408 (compose g (compose a b))) % 3.14/3.36 (compose (compose $_408 g) (compose a b))) % 3.14/3.36 (compose (compose $_408 g) (compose a b)) = % 3.14/3.36 compose (compose $_408 g) (compose a b) % 3.14/3.36 |- ifeq (codomain g) (domain a) % 3.14/3.36 (ifeq (codomain $_408) (codomain a) % 3.14/3.36 (compose $_408 (compose g (compose a g))) % 3.14/3.36 (compose (compose $_408 g) (compose a g))) % 3.14/3.36 (compose (compose $_408 g) (compose a g)) = % 3.14/3.36 compose (compose $_408 g) (compose a g) % 3.14/3.36 |- ifeq (codomain g) (domain $X) % 3.14/3.36 (ifeq (codomain $_408) (codomain a) % 3.14/3.36 (compose $_408 (compose g (domain $X))) % 3.14/3.36 (compose (compose $_408 g) (domain $X))) % 3.14/3.36 (compose (compose $_408 g) (domain $X)) = % 3.14/3.36 compose (compose $_408 g) (domain $X) % 3.14/3.36 |- ifeq (codomain g) (codomain a) (compose a (compose g b)) % 3.14/3.36 (compose (compose a g) b) = compose (compose a g) b % 3.14/3.36 |- ifeq (codomain g) (codomain $X) (compose a (compose g (codomain $X))) % 3.14/3.36 (compose (compose a g) (codomain $X)) = % 3.14/3.36 compose (compose a g) (codomain $X) % 3.14/3.36 |- ifeq (codomain g) (domain a) (compose a (compose g (compose a b))) % 3.14/3.36 (compose (compose a g) (compose a b)) = % 3.14/3.36 compose (compose a g) (compose a b) % 3.14/3.36 |- ifeq (codomain g) (domain a) (compose a (compose g (compose a g))) % 3.14/3.36 (compose (compose a g) (compose a g)) = % 3.14/3.36 compose (compose a g) (compose a g) % 3.14/3.36 |- ifeq (codomain g) (domain $X) (compose a (compose g (domain $X))) % 3.14/3.36 (compose (compose a g) (domain $X)) = % 3.14/3.36 compose (compose a g) (domain $X) % 3.14/3.36 |- ifeq (codomain g) (domain a) % 3.14/3.36 (ifeq (domain (compose g (compose a g))) (codomain a) % 3.14/3.36 (compose g (compose a g)) % 3.14/3.36 (compose (compose (domain (compose g (compose a g))) g) % 3.14/3.36 (compose a g))) % 3.14/3.36 (compose (compose (domain (compose g (compose a g))) g) % 3.14/3.36 (compose a g)) = % 3.14/3.36 compose (compose (domain (compose g (compose a g))) g) (compose a g) % 3.14/3.36 |- ifeq (codomain g) (domain a) % 3.14/3.36 (ifeq (codomain $_1) (codomain a) % 3.14/3.36 (compose (codomain $_1) (compose g (compose a g))) % 3.14/3.36 (compose (compose (codomain $_1) g) (compose a g))) % 3.14/3.36 (compose (compose (codomain $_1) g) (compose a g)) = % 3.14/3.36 compose (compose (codomain $_1) g) (compose a g) % 3.14/3.36 |- ifeq (codomain g) (domain a) % 3.14/3.36 (ifeq (codomain b) (codomain a) % 3.14/3.36 (compose (compose a b) (compose g (compose a g))) % 3.14/3.36 (compose (compose (compose a b) g) (compose a g))) % 3.14/3.36 (compose (compose (compose a b) g) (compose a g)) = % 3.14/3.36 compose (compose (compose a b) g) (compose a g) % 3.14/3.36 |- ifeq (codomain g) (domain a) % 3.14/3.36 (ifeq (codomain g) (codomain a) % 3.14/3.36 (compose (compose a g) (compose g (compose a g))) % 3.14/3.36 (compose (compose (compose a g) g) (compose a g))) % 3.14/3.36 (compose (compose (compose a g) g) (compose a g)) = % 3.14/3.36 compose (compose (compose a g) g) (compose a g) % 3.14/3.36 |- ifeq (codomain g) (domain a) % 3.14/3.36 (ifeq (domain $X) (codomain a) % 3.14/3.36 (compose (domain $X) (compose g (compose a g))) % 3.14/3.36 (compose (compose (domain $X) g) (compose a g))) % 3.14/3.36 (compose (compose (domain $X) g) (compose a g)) = % 3.14/3.36 compose (compose (domain $X) g) (compose a g) % 3.14/3.36 |- ifeq (codomain g) (codomain a) % 3.14/3.36 (ifeq (domain (compose g b)) (codomain a) (compose g b) % 3.14/3.36 (compose (compose (domain (compose g b)) g) b)) % 3.14/3.36 (compose (compose (domain (compose g b)) g) b) = % 3.14/3.36 compose (compose (domain (compose g b)) g) b % 3.14/3.36 |- ifeq (codomain g) (codomain $X) % 3.14/3.36 (ifeq (domain (compose g (codomain $X))) (codomain a) % 3.14/3.36 (compose g (codomain $X)) % 3.14/3.36 (compose (compose (domain (compose g (codomain $X))) g) % 3.14/3.36 (codomain $X))) % 3.14/3.36 (compose (compose (domain (compose g (codomain $X))) g) % 3.14/3.36 (codomain $X)) = % 3.14/3.36 compose (compose (domain (compose g (codomain $X))) g) (codomain $X) % 3.14/3.36 |- ifeq (codomain g) (domain a) % 3.14/3.36 (ifeq (domain (compose g (compose a b))) (codomain a) % 3.14/3.36 (compose g (compose a b)) % 3.14/3.36 (compose (compose (domain (compose g (compose a b))) g) % 3.14/3.36 (compose a b))) % 3.14/3.36 (compose (compose (domain (compose g (compose a b))) g) % 3.14/3.36 (compose a b)) = % 3.14/3.36 compose (compose (domain (compose g (compose a b))) g) (compose a b) % 3.14/3.37 |- ifeq (codomain g) (domain $X) % 3.14/3.37 (ifeq (domain (compose g (domain $X))) (codomain a) % 3.14/3.37 (compose g (domain $X)) % 3.14/3.37 (compose (compose (domain (compose g (domain $X))) g) (domain $X))) % 3.14/3.37 (compose (compose (domain (compose g (domain $X))) g) (domain $X)) = % 3.14/3.37 compose (compose (domain (compose g (domain $X))) g) (domain $X) % 3.14/3.37 |- ifeq (codomain $X) (domain $_416) % 3.14/3.37 (ifeq (codomain b) (codomain $X) % 3.14/3.37 (compose (compose a b) (compose (codomain $X) $_416)) % 3.14/3.37 (compose (compose (compose a b) (codomain $X)) $_416)) % 3.14/3.37 (compose (compose (compose a b) (codomain $X)) $_416) = % 3.14/3.37 compose (compose (compose a b) (codomain $X)) $_416 % 3.14/3.37 |- ifeq (codomain b) (domain $_416) % 3.14/3.37 (ifeq (codomain b) (domain a) % 3.14/3.37 (compose (compose a b) (compose (compose a b) $_416)) % 3.14/3.37 (compose (compose (compose a b) (compose a b)) $_416)) % 3.14/3.37 (compose (compose (compose a b) (compose a b)) $_416) = % 3.14/3.37 compose (compose (compose a b) (compose a b)) $_416 % 3.14/3.37 |- ifeq (codomain g) (domain $_416) % 3.14/3.37 (ifeq (codomain b) (domain a) % 3.14/3.37 (compose (compose a b) (compose (compose a g) $_416)) % 3.14/3.37 (compose (compose (compose a b) (compose a g)) $_416)) % 3.14/3.37 (compose (compose (compose a b) (compose a g)) $_416) = % 3.14/3.37 compose (compose (compose a b) (compose a g)) $_416 % 3.14/3.37 |- ifeq (domain $X) (domain $_416) % 3.14/3.37 (ifeq (codomain b) (domain $X) % 3.14/3.37 (compose (compose a b) (compose (domain $X) $_416)) % 3.14/3.37 (compose (compose (compose a b) (domain $X)) $_416)) % 3.14/3.37 (compose (compose (compose a b) (domain $X)) $_416) = % 3.14/3.37 compose (compose (compose a b) (domain $X)) $_416 % 3.14/3.37 |- ifeq (codomain g) (domain $_416) % 3.14/3.37 (ifeq (codomain b) (codomain a) % 3.14/3.37 (compose (compose a b) (compose h $_416)) % 3.14/3.37 (compose (compose (compose a b) h) $_416)) % 3.14/3.37 (compose (compose (compose a b) h) $_416) = % 3.14/3.37 compose (compose (compose a b) h) $_416 % 3.14/3.37 |- ifeq (codomain $_417) (codomain $X) % 3.14/3.37 (ifeq (codomain b) (domain $_417) % 3.14/3.37 (compose (compose a b) (compose $_417 (codomain $X))) % 3.14/3.37 (compose (compose (compose a b) $_417) (codomain $X))) % 3.14/3.37 (compose (compose (compose a b) $_417) (codomain $X)) = % 3.14/3.37 compose (compose (compose a b) $_417) (codomain $X) % 3.14/3.37 |- ifeq (codomain $_417) (domain a) % 3.14/3.37 (ifeq (codomain b) (domain $_417) % 3.14/3.37 (compose (compose a b) (compose $_417 (compose a b))) % 3.14/3.37 (compose (compose (compose a b) $_417) (compose a b))) % 3.14/3.37 (compose (compose (compose a b) $_417) (compose a b)) = % 3.14/3.37 compose (compose (compose a b) $_417) (compose a b) % 3.14/3.37 |- ifeq (codomain $_417) (domain a) % 3.14/3.37 (ifeq (codomain b) (domain $_417) % 3.14/3.37 (compose (compose a b) (compose $_417 (compose a g))) % 3.14/3.37 (compose (compose (compose a b) $_417) (compose a g))) % 3.14/3.37 (compose (compose (compose a b) $_417) (compose a g)) = % 3.14/3.37 compose (compose (compose a b) $_417) (compose a g) % 3.14/3.37 |- ifeq (codomain $_417) (domain $X) % 3.14/3.37 (ifeq (codomain b) (domain $_417) % 3.14/3.37 (compose (compose a b) (compose $_417 (domain $X))) % 3.14/3.37 (compose (compose (compose a b) $_417) (domain $X))) % 3.14/3.37 (compose (compose (compose a b) $_417) (domain $X)) = % 3.14/3.37 compose (compose (compose a b) $_417) (domain $X) % 3.14/3.37 |- ifeq (codomain $_419) (domain a) % 3.14/3.37 (ifeq (domain (compose $_419 (compose a b))) (domain $_419) % 3.14/3.37 (compose $_419 (compose a b)) % 3.14/3.37 (compose (compose (domain (compose $_419 (compose a b))) $_419) % 3.14/3.37 (compose a b))) % 3.14/3.37 (compose (compose (domain (compose $_419 (compose a b))) $_419) % 3.14/3.37 (compose a b)) = % 3.14/3.37 compose (compose (domain (compose $_419 (compose a b))) $_419) % 3.14/3.37 (compose a b) % 3.14/3.37 |- ifeq (codomain $X) (domain a) % 3.14/3.37 (ifeq (codomain $_418) (codomain $X) % 3.14/3.37 (compose $_418 (compose (codomain $X) (compose a b))) % 3.14/3.37 (compose (compose $_418 (codomain $X)) (compose a b))) % 3.14/3.37 (compose (compose $_418 (codomain $X)) (compose a b)) = % 3.14/3.37 compose (compose $_418 (codomain $X)) (compose a b) % 3.14/3.37 |- ifeq (codomain b) (domain a) % 3.14/3.37 (ifeq (codomain $_418) (domain a) % 3.14/3.37 (compose $_418 (compose (compose a b) (compose a b))) % 3.14/3.37 (compose (compose $_418 (compose a b)) (compose a b))) % 3.14/3.37 (compose (compose $_418 (compose a b)) (compose a b)) = % 3.14/3.37 compose (compose $_418 (compose a b)) (compose a b) % 3.14/3.37 |- ifeq (codomain g) (domain a) % 3.14/3.37 (ifeq (codomain $_418) (domain a) % 3.14/3.37 (compose $_418 (compose (compose a g) (compose a b))) % 3.14/3.37 (compose (compose $_418 (compose a g)) (compose a b))) % 3.14/3.37 (compose (compose $_418 (compose a g)) (compose a b)) = % 3.14/3.37 compose (compose $_418 (compose a g)) (compose a b) % 3.14/3.37 |- ifeq (domain $X) (domain a) % 3.14/3.37 (ifeq (codomain $_418) (domain $X) % 3.14/3.37 (compose $_418 (compose (domain $X) (compose a b))) % 3.14/3.37 (compose (compose $_418 (domain $X)) (compose a b))) % 3.14/3.37 (compose (compose $_418 (domain $X)) (compose a b)) = % 3.14/3.37 compose (compose $_418 (domain $X)) (compose a b) % 3.14/3.37 |- ifeq (codomain g) (domain a) % 3.14/3.37 (ifeq (codomain $_418) (codomain a) % 3.14/3.37 (compose $_418 (compose h (compose a b))) % 3.14/3.37 (compose (compose $_418 h) (compose a b))) % 3.14/3.37 (compose (compose $_418 h) (compose a b)) = % 3.14/3.37 compose (compose $_418 h) (compose a b) % 3.14/3.37 |- ifeq (codomain $_419) (domain a) % 3.14/3.37 (ifeq (codomain $_1) (domain $_419) % 3.14/3.37 (compose (codomain $_1) (compose $_419 (compose a b))) % 3.14/3.37 (compose (compose (codomain $_1) $_419) (compose a b))) % 3.14/3.37 (compose (compose (codomain $_1) $_419) (compose a b)) = % 3.14/3.37 compose (compose (codomain $_1) $_419) (compose a b) % 3.14/3.37 |- ifeq (codomain $_419) (domain a) % 3.14/3.37 (ifeq (codomain g) (domain $_419) % 3.14/3.37 (compose (compose a g) (compose $_419 (compose a b))) % 3.14/3.37 (compose (compose (compose a g) $_419) (compose a b))) % 3.14/3.37 (compose (compose (compose a g) $_419) (compose a b)) = % 3.14/3.37 compose (compose (compose a g) $_419) (compose a b) % 3.14/3.37 |- ifeq (codomain $_419) (domain a) % 3.14/3.37 (ifeq (domain $X) (domain $_419) % 3.14/3.37 (compose (domain $X) (compose $_419 (compose a b))) % 3.14/3.37 (compose (compose (domain $X) $_419) (compose a b))) % 3.14/3.37 (compose (compose (domain $X) $_419) (compose a b)) = % 3.14/3.37 compose (compose (domain $X) $_419) (compose a b) % 3.14/3.37 |- ifeq (codomain b) (codomain $X) % 3.14/3.37 (ifeq (codomain b) (codomain a) % 3.14/3.37 (compose (compose a b) (compose b (codomain $X))) % 3.14/3.37 (compose (compose (compose a b) b) (codomain $X))) % 3.14/3.37 (compose (compose (compose a b) b) (codomain $X)) = % 3.14/3.37 compose (compose (compose a b) b) (codomain $X) % 3.14/3.37 |- ifeq (codomain b) (domain a) % 3.14/3.37 (ifeq (codomain b) (codomain a) % 3.14/3.37 (compose (compose a b) (compose b (compose a g))) % 3.14/3.37 (compose (compose (compose a b) b) (compose a g))) % 3.14/3.37 (compose (compose (compose a b) b) (compose a g)) = % 3.14/3.37 compose (compose (compose a b) b) (compose a g) % 3.14/3.37 |- ifeq (codomain b) (domain $X) % 3.14/3.37 (ifeq (codomain b) (codomain a) % 3.14/3.37 (compose (compose a b) (compose b (domain $X))) % 3.14/3.37 (compose (compose (compose a b) b) (domain $X))) % 3.14/3.37 (compose (compose (compose a b) b) (domain $X)) = % 3.14/3.37 compose (compose (compose a b) b) (domain $X) % 3.14/3.37 |- ifeq (codomain b) (domain a) % 3.14/3.37 (ifeq (domain (compose b (compose a g))) (codomain a) % 3.14/3.37 (compose b (compose a g)) % 3.14/3.37 (compose (compose (domain (compose b (compose a g))) b) % 3.14/3.37 (compose a g))) % 3.14/3.37 (compose (compose (domain (compose b (compose a g))) b) % 3.14/3.37 (compose a g)) = % 3.14/3.37 compose (compose (domain (compose b (compose a g))) b) (compose a g) % 3.14/3.37 |- ifeq (codomain b) (domain a) % 3.14/3.37 (ifeq (codomain $_1) (codomain a) % 3.14/3.37 (compose (codomain $_1) (compose b (compose a g))) % 3.14/3.37 (compose (compose (codomain $_1) b) (compose a g))) % 3.14/3.37 (compose (compose (codomain $_1) b) (compose a g)) = % 3.14/3.37 compose (compose (codomain $_1) b) (compose a g) % 3.14/3.37 |- ifeq (codomain b) (domain a) % 3.14/3.37 (ifeq (domain $X) (codomain a) % 3.14/3.37 (compose (domain $X) (compose b (compose a g))) % 3.14/3.37 (compose (compose (domain $X) b) (compose a g))) % 3.14/3.37 (compose (compose (domain $X) b) (compose a g)) = % 3.14/3.37 compose (compose (domain $X) b) (compose a g) % 3.14/3.37 |- ifeq (codomain g) (codomain a) % 3.14/3.37 (ifeq (codomain b) (codomain a) (compose (compose a b) (compose g b)) % 3.14/3.37 (compose (compose (compose a b) g) b)) % 3.14/3.37 (compose (compose (compose a b) g) b) = % 3.14/3.37 compose (compose (compose a b) g) b % 3.14/3.37 |- ifeq (codomain g) (codomain $X) % 3.14/3.37 (ifeq (codomain b) (codomain a) % 3.14/3.37 (compose (compose a b) (compose g (codomain $X))) % 3.14/3.37 (compose (compose (compose a b) g) (codomain $X))) % 3.14/3.37 (compose (compose (compose a b) g) (codomain $X)) = % 3.14/3.37 compose (compose (compose a b) g) (codomain $X) % 3.14/3.37 |- ifeq (codomain g) (domain a) % 3.14/3.37 (ifeq (codomain b) (codomain a) % 3.14/3.37 (compose (compose a b) (compose g (compose a b))) % 3.14/3.37 (compose (compose (compose a b) g) (compose a b))) % 3.14/3.37 (compose (compose (compose a b) g) (compose a b)) = % 3.14/3.37 compose (compose (compose a b) g) (compose a b) % 3.14/3.37 |- ifeq (codomain g) (domain $X) % 3.14/3.37 (ifeq (codomain b) (codomain a) % 3.14/3.37 (compose (compose a b) (compose g (domain $X))) % 3.14/3.37 (compose (compose (compose a b) g) (domain $X))) % 3.14/3.37 (compose (compose (compose a b) g) (domain $X)) = % 3.14/3.37 compose (compose (compose a b) g) (domain $X) % 3.14/3.37 |- ifeq (codomain g) (codomain a) % 3.14/3.37 (ifeq (codomain g) (codomain a) (compose (compose a g) (compose g b)) % 3.14/3.37 (compose (compose (compose a g) g) b)) % 3.14/3.37 (compose (compose (compose a g) g) b) = % 3.14/3.37 compose (compose (compose a g) g) b % 3.14/3.37 |- ifeq (codomain g) (codomain $X) % 3.14/3.37 (ifeq (codomain g) (codomain a) % 3.14/3.37 (compose (compose a g) (compose g (codomain $X))) % 3.14/3.37 (compose (compose (compose a g) g) (codomain $X))) % 3.14/3.37 (compose (compose (compose a g) g) (codomain $X)) = % 3.14/3.37 compose (compose (compose a g) g) (codomain $X) % 3.14/3.37 |- ifeq (codomain g) (domain a) % 3.14/3.37 (ifeq (codomain g) (codomain a) % 3.14/3.37 (compose (compose a g) (compose g (compose a b))) % 3.14/3.37 (compose (compose (compose a g) g) (compose a b))) % 3.14/3.37 (compose (compose (compose a g) g) (compose a b)) = % 3.14/3.37 compose (compose (compose a g) g) (compose a b) % 3.14/3.37 |- ifeq (codomain g) (domain $X) % 3.14/3.37 (ifeq (codomain g) (codomain a) % 3.14/3.37 (compose (compose a g) (compose g (domain $X))) % 3.14/3.37 (compose (compose (compose a g) g) (domain $X))) % 3.14/3.37 (compose (compose (compose a g) g) (domain $X)) = % 3.14/3.37 compose (compose (compose a g) g) (domain $X) % 3.14/3.37 |- ifeq (codomain g) (codomain a) % 3.14/3.37 (ifeq (codomain $_1) (codomain a) % 3.14/3.37 (compose (codomain $_1) (compose g b)) % 3.14/3.37 (compose (compose (codomain $_1) g) b)) % 3.14/3.37 (compose (compose (codomain $_1) g) b) = % 3.14/3.37 compose (compose (codomain $_1) g) b % 3.14/3.37 |- ifeq (codomain g) (codomain a) % 3.14/3.37 (ifeq (domain $X) (codomain a) (compose (domain $X) (compose g b)) % 3.14/3.37 (compose (compose (domain $X) g) b)) % 3.14/3.37 (compose (compose (domain $X) g) b) = % 3.14/3.37 compose (compose (domain $X) g) b % 3.14/3.37 |- ifeq (codomain $X) (domain $_433) % 3.14/3.37 (ifeq (domain (compose (codomain $X) $_433)) (codomain $X) % 3.14/3.37 (compose (codomain $X) $_433) % 3.14/3.37 (compose % 3.14/3.37 (compose (domain (compose (codomain $X) $_433)) (codomain $X)) % 3.14/3.37 $_433)) % 3.14/3.37 (compose % 3.14/3.37 (compose (domain (compose (codomain $X) $_433)) (codomain $X)) % 3.14/3.37 $_433) = % 3.14/3.37 compose (compose (domain (compose (codomain $X) $_433)) (codomain $X)) % 3.14/3.37 $_433 % 3.14/3.37 |- ifeq (codomain b) (domain $_433) % 3.14/3.37 (ifeq (domain (compose (compose a b) $_433)) (domain a) % 3.14/3.37 (compose (compose a b) $_433) % 3.14/3.37 (compose % 3.14/3.37 (compose (domain (compose (compose a b) $_433)) (compose a b)) % 3.14/3.37 $_433)) % 3.14/3.37 (compose % 3.14/3.37 (compose (domain (compose (compose a b) $_433)) (compose a b)) % 3.14/3.37 $_433) = % 3.14/3.37 compose (compose (domain (compose (compose a b) $_433)) (compose a b)) % 3.14/3.37 $_433 % 3.14/3.37 |- ifeq (codomain g) (domain $_433) % 3.14/3.37 (ifeq (domain (compose (compose a g) $_433)) (domain a) % 3.14/3.37 (compose (compose a g) $_433) % 3.14/3.37 (compose % 3.14/3.37 (compose (domain (compose (compose a g) $_433)) (compose a g)) % 3.14/3.37 $_433)) % 3.14/3.37 (compose % 3.14/3.37 (compose (domain (compose (compose a g) $_433)) (compose a g)) % 3.14/3.37 $_433) = % 3.14/3.37 compose (compose (domain (compose (compose a g) $_433)) (compose a g)) % 3.14/3.37 $_433 % 3.14/3.37 |- ifeq (domain $X) (domain $_433) % 3.14/3.37 (ifeq (domain (compose (domain $X) $_433)) (domain $X) % 3.14/3.37 (compose (domain $X) $_433) % 3.14/3.37 (compose (compose (domain (compose (domain $X) $_433)) (domain $X)) % 3.14/3.37 $_433)) % 3.14/3.37 (compose (compose (domain (compose (domain $X) $_433)) (domain $X)) % 3.14/3.37 $_433) = % 3.14/3.37 compose (compose (domain (compose (domain $X) $_433)) (domain $X)) $_433 % 3.14/3.37 |- ifeq (codomain g) (domain $_433) % 3.14/3.37 (ifeq (domain (compose h $_433)) (codomain a) (compose h $_433) % 3.14/3.37 (compose (compose (domain (compose h $_433)) h) $_433)) % 3.14/3.37 (compose (compose (domain (compose h $_433)) h) $_433) = % 3.14/3.37 compose (compose (domain (compose h $_433)) h) $_433 % 3.14/3.37 |- ifeq (codomain $_434) (codomain $X) % 3.14/3.37 (ifeq (domain (compose $_434 (codomain $X))) (domain $_434) % 3.14/3.37 (compose $_434 (codomain $X)) % 3.14/3.37 (compose (compose (domain (compose $_434 (codomain $X))) $_434) % 3.14/3.37 (codomain $X))) % 3.14/3.37 (compose (compose (domain (compose $_434 (codomain $X))) $_434) % 3.14/3.37 (codomain $X)) = % 3.14/3.37 compose (compose (domain (compose $_434 (codomain $X))) $_434) % 3.14/3.37 (codomain $X) % 3.14/3.37 |- ifeq (codomain $_434) (domain a) % 3.14/3.37 (ifeq (domain (compose $_434 (compose a g))) (domain $_434) % 3.14/3.37 (compose $_434 (compose a g)) % 3.14/3.37 (compose (compose (domain (compose $_434 (compose a g))) $_434) % 3.14/3.37 (compose a g))) % 3.14/3.37 (compose (compose (domain (compose $_434 (compose a g))) $_434) % 3.14/3.37 (compose a g)) = % 3.14/3.37 compose (compose (domain (compose $_434 (compose a g))) $_434) % 3.14/3.37 (compose a g) % 3.14/3.37 |- ifeq (codomain $_434) (domain $X) % 3.14/3.37 (ifeq (domain (compose $_434 (domain $X))) (domain $_434) % 3.14/3.37 (compose $_434 (domain $X)) % 3.14/3.37 (compose (compose (domain (compose $_434 (domain $X))) $_434) % 3.14/3.37 (domain $X))) % 3.14/3.37 (compose (compose (domain (compose $_434 (domain $X))) $_434) % 3.14/3.37 (domain $X)) = % 3.14/3.37 compose (compose (domain (compose $_434 (domain $X))) $_434) (domain $X) % 3.14/3.37 |- ifeq (codomain g) (codomain $X) % 3.14/3.37 (ifeq (domain (compose h (codomain $X))) (codomain a) % 3.14/3.37 (compose h (codomain $X)) % 3.14/3.37 (compose (compose (domain (compose h (codomain $X))) h) % 3.14/3.37 (codomain $X))) % 3.14/3.37 (compose (compose (domain (compose h (codomain $X))) h) % 3.14/3.37 (codomain $X)) = % 3.14/3.37 compose (compose (domain (compose h (codomain $X))) h) (codomain $X) % 3.14/3.37 |- ifeq (codomain g) (domain a) % 3.14/3.37 (ifeq (domain (compose h (compose a b))) (codomain a) % 3.14/3.37 (compose h (compose a b)) % 3.14/3.37 (compose (compose (domain (compose h (compose a b))) h) % 3.14/3.37 (compose a b))) % 3.14/3.37 (compose (compose (domain (compose h (compose a b))) h) % 3.14/3.37 (compose a b)) = % 3.14/3.37 compose (compose (domain (compose h (compose a b))) h) (compose a b) % 3.14/3.37 |- ifeq (codomain g) (domain a) % 3.14/3.37 (ifeq (domain (compose h (compose a g))) (codomain a) % 3.14/3.37 (compose h (compose a g)) % 3.14/3.37 (compose (compose (domain (compose h (compose a g))) h) % 3.14/3.37 (compose a g))) % 3.14/3.37 (compose (compose (domain (compose h (compose a g))) h) % 3.14/3.37 (compose a g)) = % 3.14/3.37 compose (compose (domain (compose h (compose a g))) h) (compose a g) % 3.14/3.37 |- ifeq (codomain g) (domain $X) % 3.14/3.37 (ifeq (domain (compose h (domain $X))) (codomain a) % 3.14/3.37 (compose h (domain $X)) % 3.14/3.37 (compose (compose (domain (compose h (domain $X))) h) (domain $X))) % 3.14/3.37 (compose (compose (domain (compose h (domain $X))) h) (domain $X)) = % 3.14/3.37 compose (compose (domain (compose h (domain $X))) h) (domain $X) % 3.14/3.37 |- ifeq (codomain $X) (codomain a) % 3.14/3.37 (ifeq (codomain b) (codomain $X) % 3.14/3.37 (compose (compose a b) (compose (codomain $X) h)) % 3.14/3.37 (compose (compose (compose a b) (codomain $X)) h)) % 3.14/3.37 (compose (compose (compose a b) (codomain $X)) h) = % 3.14/3.37 compose (compose (compose a b) (codomain $X)) h % 3.14/3.37 |- ifeq (codomain b) (codomain a) % 3.14/3.37 (ifeq (codomain b) (domain a) % 3.14/3.37 (compose (compose a b) (compose (compose a b) h)) % 3.14/3.37 (compose (compose (compose a b) (compose a b)) h)) % 3.14/3.37 (compose (compose (compose a b) (compose a b)) h) = % 3.14/3.37 compose (compose (compose a b) (compose a b)) h % 3.14/3.37 |- ifeq (domain $X) (codomain a) % 3.14/3.37 (ifeq (codomain b) (domain $X) % 3.14/3.37 (compose (compose a b) (compose (domain $X) h)) % 3.14/3.37 (compose (compose (compose a b) (domain $X)) h)) % 3.14/3.37 (compose (compose (compose a b) (domain $X)) h) = % 3.14/3.37 compose (compose (compose a b) (domain $X)) h % 3.14/3.37 |- ifeq (codomain b) (codomain $X) % 3.14/3.37 (ifeq (domain (compose b (codomain $X))) (codomain a) % 3.14/3.37 (compose b (codomain $X)) % 3.14/3.37 (compose (compose (domain (compose b (codomain $X))) b) % 3.14/3.37 (codomain $X))) % 3.14/3.37 (compose (compose (domain (compose b (codomain $X))) b) % 3.14/3.37 (codomain $X)) = % 3.14/3.37 compose (compose (domain (compose b (codomain $X))) b) (codomain $X) % 3.14/3.38 |- ifeq (codomain b) (domain $X) % 3.14/3.38 (ifeq (domain (compose b (domain $X))) (codomain a) % 3.14/3.38 (compose b (domain $X)) % 3.14/3.38 (compose (compose (domain (compose b (domain $X))) b) (domain $X))) % 3.14/3.38 (compose (compose (domain (compose b (domain $X))) b) (domain $X)) = % 3.14/3.38 compose (compose (domain (compose b (domain $X))) b) (domain $X) % 3.14/3.38 |- ifeq (codomain g) (codomain a) % 3.14/3.38 (ifeq (domain (compose (compose a g) b)) (domain a) % 3.14/3.38 (compose (compose a g) b) % 3.14/3.38 (compose (compose (domain (compose (compose a g) b)) (compose a g)) % 3.14/3.38 b)) % 3.14/3.38 (compose (compose (domain (compose (compose a g) b)) (compose a g)) % 3.14/3.38 b) = % 3.14/3.38 compose (compose (domain (compose (compose a g) b)) (compose a g)) b % 3.14/3.38 |- ifeq (codomain g) (codomain a) % 3.14/3.38 (ifeq (codomain $_1) (domain a) % 3.14/3.38 (compose (codomain $_1) (compose (compose a g) b)) % 3.14/3.38 (compose (compose (codomain $_1) (compose a g)) b)) % 3.14/3.38 (compose (compose (codomain $_1) (compose a g)) b) = % 3.14/3.38 compose (compose (codomain $_1) (compose a g)) b % 3.14/3.38 |- ifeq (codomain g) (codomain a) % 3.14/3.38 (ifeq (codomain b) (domain a) % 3.14/3.38 (compose (compose a b) (compose (compose a g) b)) % 3.14/3.38 (compose (compose (compose a b) (compose a g)) b)) % 3.14/3.38 (compose (compose (compose a b) (compose a g)) b) = % 3.14/3.38 compose (compose (compose a b) (compose a g)) b % 3.14/3.38 |- ifeq (codomain g) (codomain a) % 3.14/3.38 (ifeq (codomain g) (domain a) % 3.14/3.38 (compose (compose a g) (compose (compose a g) b)) % 3.14/3.38 (compose (compose (compose a g) (compose a g)) b)) % 3.14/3.38 (compose (compose (compose a g) (compose a g)) b) = % 3.14/3.38 compose (compose (compose a g) (compose a g)) b % 3.14/3.38 |- ifeq (codomain g) (codomain a) % 3.14/3.38 (ifeq (domain $X) (domain a) % 3.14/3.38 (compose (domain $X) (compose (compose a g) b)) % 3.14/3.38 (compose (compose (domain $X) (compose a g)) b)) % 3.14/3.38 (compose (compose (domain $X) (compose a g)) b) = % 3.14/3.38 compose (compose (domain $X) (compose a g)) b % 3.14/3.38 |- ifeq (codomain $X) (codomain a) % 3.14/3.38 (ifeq (codomain g) (codomain $X) % 3.14/3.38 (compose (compose a g) (compose (codomain $X) b)) % 3.14/3.38 (compose (compose (compose a g) (codomain $X)) b)) % 3.14/3.38 (compose (compose (compose a g) (codomain $X)) b) = % 3.14/3.38 compose (compose (compose a g) (codomain $X)) b % 3.14/3.38 |- ifeq (codomain b) (codomain a) % 3.14/3.38 (ifeq (codomain g) (domain a) % 3.14/3.38 (compose (compose a g) (compose (compose a b) b)) % 3.14/3.38 (compose (compose (compose a g) (compose a b)) b)) % 3.14/3.38 (compose (compose (compose a g) (compose a b)) b) = % 3.14/3.38 compose (compose (compose a g) (compose a b)) b % 3.14/3.38 |- ifeq (domain $X) (codomain a) % 3.14/3.38 (ifeq (codomain g) (domain $X) % 3.14/3.38 (compose (compose a g) (compose (domain $X) b)) % 3.14/3.38 (compose (compose (compose a g) (domain $X)) b)) % 3.14/3.38 (compose (compose (compose a g) (domain $X)) b) = % 3.14/3.38 compose (compose (compose a g) (domain $X)) b % 3.14/3.38 |- ifeq (codomain $X) (codomain a) % 3.14/3.38 (ifeq (codomain b) (codomain $X) % 3.14/3.38 (compose (compose a b) (compose (codomain $X) g)) % 3.14/3.38 (compose (compose (compose a b) (codomain $X)) g)) % 3.14/3.38 (compose (compose (compose a b) (codomain $X)) g) = % 3.14/3.38 compose (compose (compose a b) (codomain $X)) g % 3.14/3.38 |- ifeq (codomain g) (codomain a) % 3.14/3.38 (ifeq (codomain b) (domain a) % 3.14/3.38 (compose (compose a b) (compose (compose a g) g)) % 3.14/3.38 (compose (compose (compose a b) (compose a g)) g)) % 3.14/3.38 (compose (compose (compose a b) (compose a g)) g) = % 3.14/3.38 compose (compose (compose a b) (compose a g)) g % 3.14/3.38 |- ifeq (domain $X) (codomain a) % 3.14/3.38 (ifeq (codomain b) (domain $X) % 3.14/3.38 (compose (compose a b) (compose (domain $X) g)) % 3.14/3.38 (compose (compose (compose a b) (domain $X)) g)) % 3.14/3.38 (compose (compose (compose a b) (domain $X)) g) = % 3.14/3.38 compose (compose (compose a b) (domain $X)) g % 3.14/3.38 |- ifeq (codomain $X) (codomain a) % 3.14/3.38 (ifeq (codomain g) (codomain $X) % 3.14/3.38 (compose (compose a g) (compose (codomain $X) g)) % 3.14/3.38 (compose (compose (compose a g) (codomain $X)) g)) % 3.14/3.38 (compose (compose (compose a g) (codomain $X)) g) = % 3.14/3.38 compose (compose (compose a g) (codomain $X)) g % 3.14/3.38 |- ifeq (codomain g) (codomain a) % 3.14/3.38 (ifeq (codomain g) (domain a) % 3.14/3.38 (compose (compose a g) (compose (compose a g) g)) % 3.14/3.38 (compose (compose (compose a g) (compose a g)) g)) % 3.14/3.38 (compose (compose (compose a g) (compose a g)) g) = % 3.14/3.38 compose (compose (compose a g) (compose a g)) g % 3.14/3.38 |- ifeq (domain $X) (codomain a) % 3.14/3.38 (ifeq (codomain g) (domain $X) % 3.14/3.38 (compose (compose a g) (compose (domain $X) g)) % 3.14/3.38 (compose (compose (compose a g) (domain $X)) g)) % 3.14/3.38 (compose (compose (compose a g) (domain $X)) g) = % 3.14/3.38 compose (compose (compose a g) (domain $X)) g % 3.14/3.38 |- ifeq (codomain $X) (domain a) % 3.14/3.38 (ifeq (codomain g) (codomain $X) % 3.14/3.38 (compose h (compose (codomain $X) (compose a g))) % 3.14/3.38 (compose (compose h (codomain $X)) (compose a g))) % 3.14/3.38 (compose (compose h (codomain $X)) (compose a g)) = % 3.14/3.38 compose (compose h (codomain $X)) (compose a g) % 3.14/3.38 |- ifeq (codomain b) (domain a) % 3.14/3.38 (ifeq (codomain g) (domain a) % 3.14/3.38 (compose h (compose (compose a b) (compose a g))) % 3.14/3.38 (compose (compose h (compose a b)) (compose a g))) % 3.14/3.38 (compose (compose h (compose a b)) (compose a g)) = % 3.14/3.38 compose (compose h (compose a b)) (compose a g) % 3.14/3.38 |- ifeq (codomain g) (domain a) % 3.14/3.38 (ifeq (codomain g) (domain a) % 3.14/3.38 (compose h (compose (compose a g) (compose a g))) % 3.14/3.38 (compose (compose h (compose a g)) (compose a g))) % 3.14/3.38 (compose (compose h (compose a g)) (compose a g)) = % 3.14/3.38 compose (compose h (compose a g)) (compose a g) % 3.14/3.38 |- ifeq (domain $X) (domain a) % 3.14/3.38 (ifeq (codomain g) (domain $X) % 3.14/3.38 (compose h (compose (domain $X) (compose a g))) % 3.14/3.38 (compose (compose h (domain $X)) (compose a g))) % 3.14/3.38 (compose (compose h (domain $X)) (compose a g)) = % 3.14/3.38 compose (compose h (domain $X)) (compose a g) % 3.14/3.38 |- ifeq (codomain $X) (codomain a) % 3.14/3.38 (ifeq (domain (compose (codomain $X) b)) (codomain $X) % 3.14/3.38 (compose (codomain $X) b) % 3.14/3.38 (compose (compose (domain (compose (codomain $X) b)) (codomain $X)) % 3.14/3.38 b)) % 3.14/3.38 (compose (compose (domain (compose (codomain $X) b)) (codomain $X)) % 3.14/3.38 b) = % 3.14/3.38 compose (compose (domain (compose (codomain $X) b)) (codomain $X)) b % 3.14/3.38 |- ifeq (codomain b) (codomain a) % 3.14/3.38 (ifeq (domain (compose (compose a b) b)) (domain a) % 3.14/3.38 (compose (compose a b) b) % 3.14/3.38 (compose (compose (domain (compose (compose a b) b)) (compose a b)) % 3.14/3.38 b)) % 3.14/3.38 (compose (compose (domain (compose (compose a b) b)) (compose a b)) % 3.14/3.38 b) = % 3.14/3.38 compose (compose (domain (compose (compose a b) b)) (compose a b)) b % 3.14/3.38 |- ifeq (domain $X) (codomain a) % 3.14/3.38 (ifeq (domain (compose (domain $X) b)) (domain $X) % 3.14/3.38 (compose (domain $X) b) % 3.14/3.38 (compose (compose (domain (compose (domain $X) b)) (domain $X)) b)) % 3.14/3.38 (compose (compose (domain (compose (domain $X) b)) (domain $X)) b) = % 3.14/3.38 compose (compose (domain (compose (domain $X) b)) (domain $X)) b % 3.14/3.38 |- ifeq (codomain $X) (codomain a) % 3.14/3.38 (ifeq (domain (compose (codomain $X) g)) (codomain $X) % 3.14/3.38 (compose (codomain $X) g) % 3.14/3.38 (compose (compose (domain (compose (codomain $X) g)) (codomain $X)) % 3.14/3.38 g)) % 3.14/3.38 (compose (compose (domain (compose (codomain $X) g)) (codomain $X)) % 3.14/3.38 g) = % 3.14/3.38 compose (compose (domain (compose (codomain $X) g)) (codomain $X)) g % 3.14/3.38 |- ifeq (codomain g) (codomain a) % 3.14/3.38 (ifeq (domain (compose (compose a g) g)) (domain a) % 3.14/3.38 (compose (compose a g) g) % 3.14/3.38 (compose (compose (domain (compose (compose a g) g)) (compose a g)) % 3.14/3.38 g)) % 3.14/3.38 (compose (compose (domain (compose (compose a g) g)) (compose a g)) % 3.14/3.38 g) = % 3.14/3.38 compose (compose (domain (compose (compose a g) g)) (compose a g)) g % 3.14/3.38 |- ifeq (domain $X) (codomain a) % 3.14/3.38 (ifeq (domain (compose (domain $X) g)) (domain $X) % 3.14/3.38 (compose (domain $X) g) % 3.14/3.38 (compose (compose (domain (compose (domain $X) g)) (domain $X)) g)) % 3.14/3.38 (compose (compose (domain (compose (domain $X) g)) (domain $X)) g) = % 3.14/3.38 compose (compose (domain (compose (domain $X) g)) (domain $X)) g % 3.14/3.38 |- ifeq (codomain g) (codomain $X) % 3.14/3.38 (ifeq (codomain b) (domain a) % 3.14/3.38 (compose (compose a b) (compose (compose a g) (codomain $X))) % 3.14/3.38 (compose (compose (compose a b) (compose a g)) (codomain $X))) % 3.14/3.38 (compose (compose (compose a b) (compose a g)) (codomain $X)) = % 3.14/3.38 compose (compose (compose a b) (compose a g)) (codomain $X) % 3.14/3.38 |- ifeq (codomain g) (domain a) % 3.14/3.38 (ifeq (codomain b) (domain a) % 3.14/3.38 (compose (compose a b) (compose (compose a g) (compose a b))) % 3.14/3.38 (compose (compose (compose a b) (compose a g)) (compose a b))) % 3.14/3.38 (compose (compose (compose a b) (compose a g)) (compose a b)) = % 3.14/3.38 compose (compose (compose a b) (compose a g)) (compose a b) % 3.14/3.38 |- ifeq (codomain g) (domain a) % 3.14/3.38 (ifeq (codomain b) (domain a) % 3.14/3.38 (compose (compose a b) (compose (compose a g) (compose a g))) % 3.14/3.38 (compose (compose (compose a b) (compose a g)) (compose a g))) % 3.14/3.38 (compose (compose (compose a b) (compose a g)) (compose a g)) = % 3.14/3.38 compose (compose (compose a b) (compose a g)) (compose a g) % 3.14/3.38 |- ifeq (codomain g) (domain $X) % 3.14/3.38 (ifeq (codomain b) (domain a) % 3.14/3.38 (compose (compose a b) (compose (compose a g) (domain $X))) % 3.14/3.38 (compose (compose (compose a b) (compose a g)) (domain $X))) % 3.14/3.38 (compose (compose (compose a b) (compose a g)) (domain $X)) = % 3.14/3.38 compose (compose (compose a b) (compose a g)) (domain $X) % 3.14/3.38 |- ifeq (codomain g) (domain a) % 3.14/3.38 (ifeq (domain (compose (compose a g) (compose a b))) (domain a) % 3.14/3.38 (compose (compose a g) (compose a b)) % 3.14/3.38 (compose % 3.14/3.38 (compose (domain (compose (compose a g) (compose a b))) % 3.14/3.38 (compose a g)) (compose a b))) % 3.14/3.38 (compose % 3.14/3.38 (compose (domain (compose (compose a g) (compose a b))) % 3.14/3.38 (compose a g)) (compose a b)) = % 3.14/3.38 compose % 3.14/3.38 (compose (domain (compose (compose a g) (compose a b))) (compose a g)) % 3.14/3.38 (compose a b) % 3.14/3.38 |- ifeq (codomain g) (domain a) % 3.14/3.38 (ifeq (codomain $_1) (domain a) % 3.14/3.38 (compose (codomain $_1) (compose (compose a g) (compose a b))) % 3.14/3.38 (compose (compose (codomain $_1) (compose a g)) (compose a b))) % 3.14/3.38 (compose (compose (codomain $_1) (compose a g)) (compose a b)) = % 3.14/3.38 compose (compose (codomain $_1) (compose a g)) (compose a b) % 3.14/3.38 |- ifeq (codomain g) (domain a) % 3.14/3.38 (ifeq (codomain g) (domain a) % 3.14/3.38 (compose (compose a g) (compose (compose a g) (compose a b))) % 3.14/3.38 (compose (compose (compose a g) (compose a g)) (compose a b))) % 3.14/3.38 (compose (compose (compose a g) (compose a g)) (compose a b)) = % 3.14/3.38 compose (compose (compose a g) (compose a g)) (compose a b) % 3.14/3.38 |- ifeq (codomain g) (domain a) % 3.14/3.38 (ifeq (domain $X) (domain a) % 3.14/3.38 (compose (domain $X) (compose (compose a g) (compose a b))) % 3.14/3.38 (compose (compose (domain $X) (compose a g)) (compose a b))) % 3.14/3.38 (compose (compose (domain $X) (compose a g)) (compose a b)) = % 3.14/3.38 compose (compose (domain $X) (compose a g)) (compose a b) % 3.14/3.38 |- ifeq (codomain g) (domain a) % 3.14/3.38 (ifeq (codomain g) (domain a) % 3.14/3.38 (compose h (compose (compose a g) (compose a b))) % 3.14/3.38 (compose (compose h (compose a g)) (compose a b))) % 3.14/3.38 (compose (compose h (compose a g)) (compose a b)) = % 3.14/3.38 compose (compose h (compose a g)) (compose a b) % 3.14/3.38 |- ifeq (codomain b) (codomain (compose (codomain $_1) (compose a b))) % 3.14/3.38 (ifeq (codomain $_1) (domain a) % 3.14/3.38 (compose (codomain $_1) % 3.14/3.38 (compose (compose a b) % 3.14/3.38 (codomain (compose (codomain $_1) (compose a b))))) % 3.14/3.38 (compose (codomain $_1) (compose a b))) % 3.14/3.38 (compose (codomain $_1) (compose a b)) = % 3.14/3.38 compose (codomain $_1) (compose a b) % 3.14/3.38 |- ifeq (codomain b) (codomain (compose (compose a b) (compose a b))) % 3.14/3.38 (ifeq (codomain b) (domain a) % 3.14/3.38 (compose (compose a b) % 3.14/3.38 (compose (compose a b) % 3.14/3.38 (codomain (compose (compose a b) (compose a b))))) % 3.14/3.38 (compose (compose a b) (compose a b))) % 3.14/3.38 (compose (compose a b) (compose a b)) = % 3.14/3.38 compose (compose a b) (compose a b) % 3.14/3.38 |- ifeq (codomain b) (codomain (compose (compose a g) (compose a b))) % 3.14/3.38 (ifeq (codomain g) (domain a) % 3.14/3.38 (compose (compose a g) % 3.14/3.38 (compose (compose a b) % 3.14/3.38 (codomain (compose (compose a g) (compose a b))))) % 3.14/3.38 (compose (compose a g) (compose a b))) % 3.14/3.38 (compose (compose a g) (compose a b)) = % 3.14/3.38 compose (compose a g) (compose a b) % 3.14/3.38 |- ifeq (codomain b) (codomain (compose (domain $X) (compose a b))) % 3.14/3.38 (ifeq (domain $X) (domain a) % 3.14/3.38 (compose (domain $X) % 3.14/3.38 (compose (compose a b) % 3.14/3.38 (codomain (compose (domain $X) (compose a b))))) % 3.14/3.38 (compose (domain $X) (compose a b))) % 3.14/3.38 (compose (domain $X) (compose a b)) = % 3.14/3.38 compose (domain $X) (compose a b) % 3.14/3.38 |- ifeq (codomain $X) (codomain (compose (compose a b) (codomain $X))) % 3.14/3.38 (ifeq (codomain b) (codomain $X) % 3.14/3.38 (compose (compose a b) % 3.14/3.38 (compose (codomain $X) % 3.14/3.38 (codomain (compose (compose a b) (codomain $X))))) % 3.14/3.38 (compose (compose a b) (codomain $X))) % 3.14/3.38 (compose (compose a b) (codomain $X)) = % 3.14/3.38 compose (compose a b) (codomain $X) % 3.14/3.38 |- ifeq (domain $X) (codomain (compose (compose a b) (domain $X))) % 3.14/3.38 (ifeq (codomain b) (domain $X) % 3.14/3.38 (compose (compose a b) % 3.14/3.38 (compose (domain $X) % 3.14/3.38 (codomain (compose (compose a b) (domain $X))))) % 3.14/3.38 (compose (compose a b) (domain $X))) % 3.14/3.38 (compose (compose a b) (domain $X)) = % 3.14/3.38 compose (compose a b) (domain $X) % 3.14/3.38 |- ifeq (codomain $X) (codomain (compose (compose a g) (codomain $X))) % 3.14/3.38 (ifeq (codomain g) (codomain $X) % 3.14/3.38 (compose (compose a g) % 3.14/3.38 (compose (codomain $X) % 3.14/3.38 (codomain (compose (compose a g) (codomain $X))))) % 3.14/3.38 (compose (compose a g) (codomain $X))) % 3.14/3.38 (compose (compose a g) (codomain $X)) = % 3.14/3.38 compose (compose a g) (codomain $X) % 3.14/3.38 |- ifeq (domain $X) (codomain (compose (compose a g) (domain $X))) % 3.14/3.38 (ifeq (codomain g) (domain $X) % 3.14/3.38 (compose (compose a g) % 3.14/3.38 (compose (domain $X) % 3.14/3.38 (codomain (compose (compose a g) (domain $X))))) % 3.14/3.38 (compose (compose a g) (domain $X))) % 3.14/3.38 (compose (compose a g) (domain $X)) = % 3.14/3.38 compose (compose a g) (domain $X) % 3.14/3.38 |- ifeq (codomain g) (codomain $X) % 3.14/3.38 (ifeq (codomain b) (codomain a) % 3.14/3.38 (compose (compose a b) (compose h (codomain $X))) % 3.14/3.38 (compose (compose (compose a b) h) (codomain $X))) % 3.14/3.38 (compose (compose (compose a b) h) (codomain $X)) = % 3.14/3.38 compose (compose (compose a b) h) (codomain $X) % 3.14/3.38 |- ifeq (codomain g) (domain a) % 3.14/3.38 (ifeq (codomain b) (codomain a) % 3.14/3.38 (compose (compose a b) (compose h (compose a b))) % 3.14/3.38 (compose (compose (compose a b) h) (compose a b))) % 3.14/3.38 (compose (compose (compose a b) h) (compose a b)) = % 3.14/3.38 compose (compose (compose a b) h) (compose a b) % 3.14/3.38 |- ifeq (codomain g) (domain a) % 3.14/3.38 (ifeq (codomain b) (codomain a) % 3.14/3.38 (compose (compose a b) (compose h (compose a g))) % 3.14/3.38 (compose (compose (compose a b) h) (compose a g))) % 3.14/3.38 (compose (compose (compose a b) h) (compose a g)) = % 3.14/3.38 compose (compose (compose a b) h) (compose a g) % 3.14/3.38 |- ifeq (codomain g) (domain $X) % 3.14/3.38 (ifeq (codomain b) (codomain a) % 3.14/3.38 (compose (compose a b) (compose h (domain $X))) % 3.14/3.38 (compose (compose (compose a b) h) (domain $X))) % 3.14/3.38 (compose (compose (compose a b) h) (domain $X)) = % 3.14/3.38 compose (compose (compose a b) h) (domain $X) % 3.14/3.38 |- ifeq (codomain $X) (codomain a) % 3.14/3.38 (ifeq (codomain b) (codomain $X) % 3.14/3.38 (compose (compose a b) (compose (codomain $X) b)) % 3.14/3.38 (compose (compose (compose a b) (codomain $X)) b)) % 3.14/3.38 (compose (compose (compose a b) (codomain $X)) b) = % 3.14/3.38 compose (compose (compose a b) (codomain $X)) b % 3.14/3.38 |- ifeq (codomain b) (codomain a) % 3.14/3.38 (ifeq (codomain b) (domain a) % 3.14/3.38 (compose (compose a b) (compose (compose a b) b)) % 3.14/3.38 (compose (compose (compose a b) (compose a b)) b)) % 3.14/3.38 (compose (compose (compose a b) (compose a b)) b) = % 3.14/3.38 compose (compose (compose a b) (compose a b)) b % 3.14/3.39 |- ifeq (domain $X) (codomain a) % 3.14/3.39 (ifeq (codomain b) (domain $X) % 3.14/3.39 (compose (compose a b) (compose (domain $X) b)) % 3.14/3.39 (compose (compose (compose a b) (domain $X)) b)) % 3.14/3.39 (compose (compose (compose a b) (domain $X)) b) = % 3.14/3.39 compose (compose (compose a b) (domain $X)) b % 3.14/3.39 |- ifeq (codomain g) (codomain a) % 3.14/3.39 (ifeq (codomain $_1) (domain a) % 3.14/3.39 (compose (codomain $_1) (compose (compose a g) g)) % 3.14/3.39 (compose (compose (codomain $_1) (compose a g)) g)) % 3.14/3.39 (compose (compose (codomain $_1) (compose a g)) g) = % 3.14/3.39 compose (compose (codomain $_1) (compose a g)) g % 3.14/3.39 |- ifeq (codomain g) (codomain a) % 3.14/3.39 (ifeq (domain $X) (domain a) % 3.14/3.39 (compose (domain $X) (compose (compose a g) g)) % 3.14/3.39 (compose (compose (domain $X) (compose a g)) g)) % 3.14/3.39 (compose (compose (domain $X) (compose a g)) g) = % 3.14/3.39 compose (compose (domain $X) (compose a g)) g % 3.14/3.39 |- ifeq (codomain b) (codomain $X) % 3.14/3.39 (ifeq (codomain g) (domain a) % 3.14/3.39 (compose h (compose (compose a b) (codomain $X))) % 3.14/3.39 (compose (compose h (compose a b)) (codomain $X))) % 3.14/3.39 (compose (compose h (compose a b)) (codomain $X)) = % 3.14/3.39 compose (compose h (compose a b)) (codomain $X) % 3.14/3.39 |- ifeq (codomain b) (domain a) % 3.14/3.39 (ifeq (codomain g) (domain a) % 3.14/3.39 (compose h (compose (compose a b) (compose a b))) % 3.14/3.39 (compose (compose h (compose a b)) (compose a b))) % 3.14/3.39 (compose (compose h (compose a b)) (compose a b)) = % 3.14/3.39 compose (compose h (compose a b)) (compose a b) % 3.14/3.39 |- ifeq (codomain b) (domain $X) % 3.14/3.39 (ifeq (codomain g) (domain a) % 3.14/3.39 (compose h (compose (compose a b) (domain $X))) % 3.14/3.39 (compose (compose h (compose a b)) (domain $X))) % 3.14/3.39 (compose (compose h (compose a b)) (domain $X)) = % 3.14/3.39 compose (compose h (compose a b)) (domain $X) % 3.14/3.39 |- ifeq (codomain g) (codomain $X) % 3.14/3.39 (ifeq (codomain g) (domain a) % 3.14/3.39 (compose h (compose (compose a g) (codomain $X))) % 3.14/3.39 (compose (compose h (compose a g)) (codomain $X))) % 3.14/3.39 (compose (compose h (compose a g)) (codomain $X)) = % 3.14/3.39 compose (compose h (compose a g)) (codomain $X) % 3.14/3.39 |- ifeq (codomain g) (domain $X) % 3.14/3.39 (ifeq (codomain g) (domain a) % 3.14/3.39 (compose h (compose (compose a g) (domain $X))) % 3.14/3.39 (compose (compose h (compose a g)) (domain $X))) % 3.14/3.39 (compose (compose h (compose a g)) (domain $X)) = % 3.14/3.39 compose (compose h (compose a g)) (domain $X) % 3.14/3.39 |- ifeq (codomain $X) (domain a) % 3.14/3.39 (ifeq (codomain g) (codomain $X) % 3.14/3.39 (compose h (compose (codomain $X) (compose a b))) % 3.14/3.39 (compose (compose h (codomain $X)) (compose a b))) % 3.14/3.39 (compose (compose h (codomain $X)) (compose a b)) = % 3.14/3.39 compose (compose h (codomain $X)) (compose a b) % 3.14/3.39 |- ifeq (domain $X) (domain a) % 3.14/3.39 (ifeq (codomain g) (domain $X) % 3.14/3.39 (compose h (compose (domain $X) (compose a b))) % 3.14/3.39 (compose (compose h (domain $X)) (compose a b))) % 3.14/3.39 (compose (compose h (domain $X)) (compose a b)) = % 3.14/3.39 compose (compose h (domain $X)) (compose a b) % 3.14/3.39 |- ifeq (codomain $_521) (domain $_522) % 3.14/3.39 (ifeq (codomain $_1) (codomain $_521) % 3.14/3.39 (compose (codomain $_1) (compose (codomain $_521) $_522)) % 3.14/3.39 (compose (compose (codomain $_1) (codomain $_521)) $_522)) % 3.14/3.39 (compose (compose (codomain $_1) (codomain $_521)) $_522) = % 3.14/3.39 compose (compose (codomain $_1) (codomain $_521)) $_522 % 3.14/3.39 |- ifeq (codomain $_521) (domain $_522) % 3.14/3.39 (ifeq (codomain g) (codomain $_521) % 3.14/3.39 (compose (compose a g) (compose (codomain $_521) $_522)) % 3.14/3.39 (compose (compose (compose a g) (codomain $_521)) $_522)) % 3.14/3.39 (compose (compose (compose a g) (codomain $_521)) $_522) = % 3.14/3.39 compose (compose (compose a g) (codomain $_521)) $_522 % 3.14/3.39 |- ifeq (codomain $_521) (domain $_522) % 3.14/3.39 (ifeq (domain $X) (codomain $_521) % 3.14/3.39 (compose (domain $X) (compose (codomain $_521) $_522)) % 3.14/3.39 (compose (compose (domain $X) (codomain $_521)) $_522)) % 3.14/3.39 (compose (compose (domain $X) (codomain $_521)) $_522) = % 3.14/3.39 compose (compose (domain $X) (codomain $_521)) $_522 % 3.14/3.39 |- ifeq (codomain $_521) (codomain $X) % 3.14/3.39 (ifeq (codomain $_523) (codomain $_521) % 3.14/3.39 (compose $_523 (compose (codomain $_521) (codomain $X))) % 3.14/3.39 (compose (compose $_523 (codomain $_521)) (codomain $X))) % 3.14/3.39 (compose (compose $_523 (codomain $_521)) (codomain $X)) = % 3.14/3.39 compose (compose $_523 (codomain $_521)) (codomain $X) % 3.14/3.39 |- ifeq (codomain $_521) (domain a) % 3.14/3.39 (ifeq (codomain $_523) (codomain $_521) % 3.14/3.39 (compose $_523 (compose (codomain $_521) (compose a g))) % 3.14/3.39 (compose (compose $_523 (codomain $_521)) (compose a g))) % 3.14/3.39 (compose (compose $_523 (codomain $_521)) (compose a g)) = % 3.14/3.39 compose (compose $_523 (codomain $_521)) (compose a g) % 3.14/3.39 |- ifeq (codomain $_521) (domain $X) % 3.14/3.39 (ifeq (codomain $_523) (codomain $_521) % 3.14/3.39 (compose $_523 (compose (codomain $_521) (domain $X))) % 3.14/3.39 (compose (compose $_523 (codomain $_521)) (domain $X))) % 3.14/3.39 (compose (compose $_523 (codomain $_521)) (domain $X)) = % 3.14/3.39 compose (compose $_523 (codomain $_521)) (domain $X) % 3.14/3.39 |- ifeq (codomain b) (domain $_525) % 3.14/3.39 (ifeq (codomain $_524) (domain a) % 3.14/3.39 (compose (codomain $_524) (compose (compose a b) $_525)) % 3.14/3.39 (compose (compose (codomain $_524) (compose a b)) $_525)) % 3.14/3.39 (compose (compose (codomain $_524) (compose a b)) $_525) = % 3.14/3.39 compose (compose (codomain $_524) (compose a b)) $_525 % 3.14/3.39 |- ifeq (codomain g) (domain $_525) % 3.14/3.39 (ifeq (codomain $_524) (domain a) % 3.14/3.39 (compose (codomain $_524) (compose (compose a g) $_525)) % 3.14/3.39 (compose (compose (codomain $_524) (compose a g)) $_525)) % 3.14/3.39 (compose (compose (codomain $_524) (compose a g)) $_525) = % 3.14/3.39 compose (compose (codomain $_524) (compose a g)) $_525 % 3.14/3.39 |- ifeq (domain $X) (domain $_525) % 3.14/3.39 (ifeq (codomain $_524) (domain $X) % 3.14/3.39 (compose (codomain $_524) (compose (domain $X) $_525)) % 3.14/3.39 (compose (compose (codomain $_524) (domain $X)) $_525)) % 3.14/3.39 (compose (compose (codomain $_524) (domain $X)) $_525) = % 3.14/3.39 compose (compose (codomain $_524) (domain $X)) $_525 % 3.14/3.39 |- ifeq (codomain g) (domain $_525) % 3.14/3.39 (ifeq (codomain $_524) (codomain a) % 3.14/3.39 (compose (codomain $_524) (compose h $_525)) % 3.14/3.39 (compose (compose (codomain $_524) h) $_525)) % 3.14/3.39 (compose (compose (codomain $_524) h) $_525) = % 3.14/3.39 compose (compose (codomain $_524) h) $_525 % 3.14/3.39 |- ifeq (codomain $_526) (codomain $X) % 3.14/3.39 (ifeq (codomain $_524) (domain $_526) % 3.14/3.39 (compose (codomain $_524) (compose $_526 (codomain $X))) % 3.14/3.39 (compose (compose (codomain $_524) $_526) (codomain $X))) % 3.14/3.39 (compose (compose (codomain $_524) $_526) (codomain $X)) = % 3.14/3.39 compose (compose (codomain $_524) $_526) (codomain $X) % 3.14/3.39 |- ifeq (codomain $_526) (domain a) % 3.14/3.39 (ifeq (codomain $_524) (domain $_526) % 3.14/3.39 (compose (codomain $_524) (compose $_526 (compose a g))) % 3.14/3.39 (compose (compose (codomain $_524) $_526) (compose a g))) % 3.14/3.39 (compose (compose (codomain $_524) $_526) (compose a g)) = % 3.14/3.39 compose (compose (codomain $_524) $_526) (compose a g) % 3.14/3.39 |- ifeq (codomain $_526) (domain $X) % 3.14/3.39 (ifeq (codomain $_524) (domain $_526) % 3.14/3.39 (compose (codomain $_524) (compose $_526 (domain $X))) % 3.14/3.39 (compose (compose (codomain $_524) $_526) (domain $X))) % 3.14/3.39 (compose (compose (codomain $_524) $_526) (domain $X)) = % 3.14/3.39 compose (compose (codomain $_524) $_526) (domain $X) % 3.14/3.39 |- ifeq (codomain g) (domain $_528) % 3.14/3.39 (ifeq (domain $X) (codomain a) (compose (domain $X) (compose h $_528)) % 3.14/3.39 (compose (compose (domain $X) h) $_528)) % 3.14/3.39 (compose (compose (domain $X) h) $_528) = % 3.14/3.39 compose (compose (domain $X) h) $_528 % 3.14/3.39 |- ifeq (codomain g) (codomain $X) % 3.14/3.39 (ifeq (codomain $_527) (codomain a) % 3.14/3.39 (compose (codomain $_527) (compose h (codomain $X))) % 3.14/3.39 (compose (compose (codomain $_527) h) (codomain $X))) % 3.14/3.39 (compose (compose (codomain $_527) h) (codomain $X)) = % 3.14/3.39 compose (compose (codomain $_527) h) (codomain $X) % 3.14/3.39 |- ifeq (codomain g) (domain a) % 3.14/3.39 (ifeq (codomain $_527) (codomain a) % 3.14/3.39 (compose (codomain $_527) (compose h (compose a b))) % 3.14/3.39 (compose (compose (codomain $_527) h) (compose a b))) % 3.14/3.39 (compose (compose (codomain $_527) h) (compose a b)) = % 3.14/3.39 compose (compose (codomain $_527) h) (compose a b) % 3.14/3.39 |- ifeq (codomain g) (domain a) % 3.14/3.39 (ifeq (codomain $_527) (codomain a) % 3.14/3.39 (compose (codomain $_527) (compose h (compose a g))) % 3.14/3.39 (compose (compose (codomain $_527) h) (compose a g))) % 3.14/3.39 (compose (compose (codomain $_527) h) (compose a g)) = % 3.14/3.39 compose (compose (codomain $_527) h) (compose a g) % 3.14/3.39 |- ifeq (codomain g) (domain $X) % 3.14/3.39 (ifeq (codomain $_527) (codomain a) % 3.14/3.39 (compose (codomain $_527) (compose h (domain $X))) % 3.14/3.39 (compose (compose (codomain $_527) h) (domain $X))) % 3.14/3.39 (compose (compose (codomain $_527) h) (domain $X)) = % 3.14/3.39 compose (compose (codomain $_527) h) (domain $X) % 3.14/3.39 |- ifeq (codomain b) (domain $_530) % 3.14/3.39 (ifeq (domain $_529) (domain a) % 3.14/3.39 (compose (domain $_529) (compose (compose a b) $_530)) % 3.14/3.39 (compose (compose (domain $_529) (compose a b)) $_530)) % 3.14/3.39 (compose (compose (domain $_529) (compose a b)) $_530) = % 3.14/3.39 compose (compose (domain $_529) (compose a b)) $_530 % 3.14/3.39 |- ifeq (codomain g) (domain $_530) % 3.14/3.39 (ifeq (domain $_529) (domain a) % 3.14/3.39 (compose (domain $_529) (compose (compose a g) $_530)) % 3.14/3.39 (compose (compose (domain $_529) (compose a g)) $_530)) % 3.14/3.39 (compose (compose (domain $_529) (compose a g)) $_530) = % 3.14/3.39 compose (compose (domain $_529) (compose a g)) $_530 % 3.14/3.39 |- ifeq (domain $X) (domain $_530) % 3.14/3.39 (ifeq (domain $_529) (domain $X) % 3.14/3.39 (compose (domain $_529) (compose (domain $X) $_530)) % 3.14/3.39 (compose (compose (domain $_529) (domain $X)) $_530)) % 3.14/3.39 (compose (compose (domain $_529) (domain $X)) $_530) = % 3.14/3.39 compose (compose (domain $_529) (domain $X)) $_530 % 3.14/3.39 |- ifeq (codomain $_531) (codomain $X) % 3.14/3.39 (ifeq (domain $_529) (domain $_531) % 3.14/3.39 (compose (domain $_529) (compose $_531 (codomain $X))) % 3.14/3.39 (compose (compose (domain $_529) $_531) (codomain $X))) % 3.14/3.39 (compose (compose (domain $_529) $_531) (codomain $X)) = % 3.14/3.39 compose (compose (domain $_529) $_531) (codomain $X) % 3.14/3.39 |- ifeq (codomain $_531) (domain a) % 3.14/3.39 (ifeq (domain $_529) (domain $_531) % 3.14/3.39 (compose (domain $_529) (compose $_531 (compose a g))) % 3.14/3.39 (compose (compose (domain $_529) $_531) (compose a g))) % 3.14/3.39 (compose (compose (domain $_529) $_531) (compose a g)) = % 3.14/3.39 compose (compose (domain $_529) $_531) (compose a g) % 3.14/3.39 |- ifeq (codomain $_531) (domain $X) % 3.14/3.39 (ifeq (domain $_529) (domain $_531) % 3.14/3.39 (compose (domain $_529) (compose $_531 (domain $X))) % 3.14/3.39 (compose (compose (domain $_529) $_531) (domain $X))) % 3.14/3.39 (compose (compose (domain $_529) $_531) (domain $X)) = % 3.14/3.39 compose (compose (domain $_529) $_531) (domain $X) % 3.14/3.39 |- ifeq (codomain b) (codomain $_532) % 3.14/3.39 (ifeq (codomain $_533) (domain a) % 3.14/3.39 (compose $_533 (compose (compose a b) (codomain $_532))) % 3.14/3.39 (compose (compose $_533 (compose a b)) (codomain $_532))) % 3.14/3.39 (compose (compose $_533 (compose a b)) (codomain $_532)) = % 3.14/3.39 compose (compose $_533 (compose a b)) (codomain $_532) % 3.14/3.39 |- ifeq (codomain g) (codomain $_532) % 3.14/3.39 (ifeq (codomain $_533) (domain a) % 3.14/3.39 (compose $_533 (compose (compose a g) (codomain $_532))) % 3.14/3.39 (compose (compose $_533 (compose a g)) (codomain $_532))) % 3.14/3.39 (compose (compose $_533 (compose a g)) (codomain $_532)) = % 3.14/3.39 compose (compose $_533 (compose a g)) (codomain $_532) % 3.14/3.39 |- ifeq (domain $X) (codomain $_532) % 3.14/3.39 (ifeq (codomain $_533) (domain $X) % 3.14/3.39 (compose $_533 (compose (domain $X) (codomain $_532))) % 3.14/3.39 (compose (compose $_533 (domain $X)) (codomain $_532))) % 3.14/3.39 (compose (compose $_533 (domain $X)) (codomain $_532)) = % 3.14/3.39 compose (compose $_533 (domain $X)) (codomain $_532) % 3.14/3.39 |- ifeq (codomain g) (codomain $_532) % 3.14/3.39 (ifeq (codomain $_533) (codomain a) % 3.14/3.39 (compose $_533 (compose h (codomain $_532))) % 3.14/3.39 (compose (compose $_533 h) (codomain $_532))) % 3.14/3.39 (compose (compose $_533 h) (codomain $_532)) = % 3.14/3.39 compose (compose $_533 h) (codomain $_532) % 3.14/3.39 |- ifeq (codomain $_534) (codomain $_532) % 3.14/3.39 (ifeq (codomain g) (domain $_534) % 3.14/3.39 (compose (compose a g) (compose $_534 (codomain $_532))) % 3.14/3.39 (compose (compose (compose a g) $_534) (codomain $_532))) % 3.14/3.39 (compose (compose (compose a g) $_534) (codomain $_532)) = % 3.14/3.39 compose (compose (compose a g) $_534) (codomain $_532) % 3.14/3.39 |- ifeq (codomain b) (domain $_535) % 3.14/3.39 (ifeq (codomain $_536) (domain a) % 3.14/3.39 (compose $_536 (compose (compose a b) (domain $_535))) % 3.14/3.39 (compose (compose $_536 (compose a b)) (domain $_535))) % 3.14/3.39 (compose (compose $_536 (compose a b)) (domain $_535)) = % 3.14/3.39 compose (compose $_536 (compose a b)) (domain $_535) % 3.14/3.39 |- ifeq (codomain g) (domain $_535) % 3.14/3.39 (ifeq (codomain $_536) (domain a) % 3.14/3.39 (compose $_536 (compose (compose a g) (domain $_535))) % 3.14/3.39 (compose (compose $_536 (compose a g)) (domain $_535))) % 3.14/3.39 (compose (compose $_536 (compose a g)) (domain $_535)) = % 3.14/3.39 compose (compose $_536 (compose a g)) (domain $_535) % 3.14/3.39 |- ifeq (domain $X) (domain $_535) % 3.14/3.39 (ifeq (codomain $_536) (domain $X) % 3.14/3.39 (compose $_536 (compose (domain $X) (domain $_535))) % 3.14/3.39 (compose (compose $_536 (domain $X)) (domain $_535))) % 3.14/3.39 (compose (compose $_536 (domain $X)) (domain $_535)) = % 3.14/3.39 compose (compose $_536 (domain $X)) (domain $_535) % 3.14/3.39 |- ifeq (codomain g) (domain $_535) % 3.14/3.39 (ifeq (codomain $_536) (codomain a) % 3.14/3.39 (compose $_536 (compose h (domain $_535))) % 3.14/3.39 (compose (compose $_536 h) (domain $_535))) % 3.14/3.39 (compose (compose $_536 h) (domain $_535)) = % 3.14/3.39 compose (compose $_536 h) (domain $_535) % 3.14/3.39 |- ifeq (codomain $_537) (domain $_535) % 3.14/3.39 (ifeq (codomain g) (domain $_537) % 3.14/3.39 (compose (compose a g) (compose $_537 (domain $_535))) % 3.14/3.39 (compose (compose (compose a g) $_537) (domain $_535))) % 3.14/3.39 (compose (compose (compose a g) $_537) (domain $_535)) = % 3.14/3.39 compose (compose (compose a g) $_537) (domain $_535) % 3.14/3.39 |- ifeq (codomain g) (domain $_538) % 3.14/3.39 (ifeq (codomain g) (codomain a) % 3.14/3.39 (compose (compose a g) (compose h (domain $_538))) % 3.14/3.39 (compose (compose (compose a g) h) (domain $_538))) % 3.14/3.39 (compose (compose (compose a g) h) (domain $_538)) = % 3.14/3.39 compose (compose (compose a g) h) (domain $_538) % 3.14/3.39 |- ifeq (codomain g) (domain $_538) % 3.14/3.39 (ifeq (domain $X) (codomain a) % 3.14/3.39 (compose (domain $X) (compose h (domain $_538))) % 3.14/3.39 (compose (compose (domain $X) h) (domain $_538))) % 3.14/3.39 (compose (compose (domain $X) h) (domain $_538)) = % 3.14/3.39 compose (compose (domain $X) h) (domain $_538) % 3.14/3.39 |- ifeq (codomain g) (codomain $X) % 3.14/3.39 (ifeq (codomain g) (codomain a) % 3.14/3.39 (compose (compose a g) (compose h (codomain $X))) % 3.14/3.39 (compose (compose (compose a g) h) (codomain $X))) % 3.14/3.39 (compose (compose (compose a g) h) (codomain $X)) = % 3.14/3.39 compose (compose (compose a g) h) (codomain $X) % 3.14/3.39 |- ifeq (codomain b) (codomain $X) % 3.14/3.39 (ifeq (codomain b) (domain a) % 3.14/3.39 (compose (compose a b) (compose (compose a b) (codomain $X))) % 3.14/3.39 (compose (compose (compose a b) (compose a b)) (codomain $X))) % 3.14/3.39 (compose (compose (compose a b) (compose a b)) (codomain $X)) = % 3.14/3.39 compose (compose (compose a b) (compose a b)) (codomain $X) % 3.14/3.39 |- ifeq (codomain b) (domain a) % 3.14/3.39 (ifeq (codomain b) (domain a) % 3.14/3.39 (compose (compose a b) (compose (compose a b) (compose a b))) % 3.14/3.39 (compose (compose (compose a b) (compose a b)) (compose a b))) % 3.14/3.39 (compose (compose (compose a b) (compose a b)) (compose a b)) = % 3.14/3.39 compose (compose (compose a b) (compose a b)) (compose a b) % 3.14/3.39 |- ifeq (codomain b) (domain a) % 3.14/3.39 (ifeq (codomain b) (domain a) % 3.14/3.39 (compose (compose a b) (compose (compose a b) (compose a g))) % 3.14/3.39 (compose (compose (compose a b) (compose a b)) (compose a g))) % 3.14/3.39 (compose (compose (compose a b) (compose a b)) (compose a g)) = % 3.14/3.39 compose (compose (compose a b) (compose a b)) (compose a g) % 3.14/3.39 |- ifeq (codomain b) (domain $X) % 3.14/3.39 (ifeq (codomain b) (domain a) % 3.14/3.39 (compose (compose a b) (compose (compose a b) (domain $X))) % 3.14/3.39 (compose (compose (compose a b) (compose a b)) (domain $X))) % 3.14/3.39 (compose (compose (compose a b) (compose a b)) (domain $X)) = % 3.14/3.39 compose (compose (compose a b) (compose a b)) (domain $X) % 3.14/3.39 |- ifeq (codomain $X) (domain a) % 3.14/3.39 (ifeq (codomain b) (codomain $X) % 3.14/3.39 (compose (compose a b) (compose (codomain $X) (compose a b))) % 3.14/3.39 (compose (compose (compose a b) (codomain $X)) (compose a b))) % 3.14/3.39 (compose (compose (compose a b) (codomain $X)) (compose a b)) = % 3.14/3.39 compose (compose (compose a b) (codomain $X)) (compose a b) % 3.14/3.39 |- ifeq (domain $X) (domain a) % 3.14/3.39 (ifeq (codomain b) (domain $X) % 3.14/3.39 (compose (compose a b) (compose (domain $X) (compose a b))) % 3.14/3.39 (compose (compose (compose a b) (domain $X)) (compose a b))) % 3.14/3.39 (compose (compose (compose a b) (domain $X)) (compose a b)) = % 3.14/3.39 compose (compose (compose a b) (domain $X)) (compose a b) % 3.24/3.39 |- ifeq (codomain $X) (domain a) % 3.24/3.39 (ifeq (codomain b) (codomain $X) % 3.24/3.39 (compose (compose a b) (compose (codomain $X) (compose a g))) % 3.24/3.39 (compose (compose (compose a b) (codomain $X)) (compose a g))) % 3.24/3.39 (compose (compose (compose a b) (codomain $X)) (compose a g)) = % 3.24/3.39 compose (compose (compose a b) (codomain $X)) (compose a g) % 3.24/3.39 |- ifeq (domain $X) (domain a) % 3.24/3.39 (ifeq (codomain b) (domain $X) % 3.24/3.39 (compose (compose a b) (compose (domain $X) (compose a g))) % 3.24/3.39 (compose (compose (compose a b) (domain $X)) (compose a g))) % 3.24/3.39 (compose (compose (compose a b) (domain $X)) (compose a g)) = % 3.24/3.39 compose (compose (compose a b) (domain $X)) (compose a g) % 3.24/3.39 |- ifeq (codomain b) (domain a) % 3.24/3.39 (ifeq (domain (compose (compose a b) (compose a b))) (domain a) % 3.24/3.39 (compose (compose a b) (compose a b)) % 3.24/3.39 (compose % 3.24/3.39 (compose (domain (compose (compose a b) (compose a b))) % 3.24/3.39 (compose a b)) (compose a b))) % 3.24/3.39 (compose % 3.24/3.39 (compose (domain (compose (compose a b) (compose a b))) % 3.24/3.39 (compose a b)) (compose a b)) = % 3.24/3.39 compose % 3.24/3.39 (compose (domain (compose (compose a b) (compose a b))) (compose a b)) % 3.24/3.39 (compose a b) % 3.24/3.40 |- ifeq (codomain b) (domain a) % 3.24/3.40 (ifeq (codomain $_1) (domain a) % 3.24/3.40 (compose (codomain $_1) (compose (compose a b) (compose a b))) % 3.24/3.40 (compose (compose (codomain $_1) (compose a b)) (compose a b))) % 3.24/3.40 (compose (compose (codomain $_1) (compose a b)) (compose a b)) = % 3.24/3.40 compose (compose (codomain $_1) (compose a b)) (compose a b) % 3.24/3.40 |- ifeq (codomain b) (domain a) % 3.24/3.40 (ifeq (codomain g) (domain a) % 3.24/3.40 (compose (compose a g) (compose (compose a b) (compose a b))) % 3.24/3.40 (compose (compose (compose a g) (compose a b)) (compose a b))) % 3.24/3.40 (compose (compose (compose a g) (compose a b)) (compose a b)) = % 3.24/3.40 compose (compose (compose a g) (compose a b)) (compose a b) % 3.25/3.40 |- ifeq (codomain b) (domain a) % 3.25/3.40 (ifeq (domain $X) (domain a) % 3.25/3.40 (compose (domain $X) (compose (compose a b) (compose a b))) % 3.25/3.40 (compose (compose (domain $X) (compose a b)) (compose a b))) % 3.25/3.40 (compose (compose (domain $X) (compose a b)) (compose a b)) = % 3.25/3.40 compose (compose (domain $X) (compose a b)) (compose a b) % 3.25/3.40 |- ifeq (codomain $X) (domain a) % 3.25/3.40 (ifeq (codomain g) (codomain $X) % 3.25/3.40 (compose (compose a g) (compose (codomain $X) (compose a b))) % 3.25/3.40 (compose (compose (compose a g) (codomain $X)) (compose a b))) % 3.25/3.40 (compose (compose (compose a g) (codomain $X)) (compose a b)) = % 3.25/3.40 compose (compose (compose a g) (codomain $X)) (compose a b) % 3.25/3.40 |- ifeq (domain $X) (domain a) % 3.25/3.40 (ifeq (codomain g) (domain $X) % 3.25/3.40 (compose (compose a g) (compose (domain $X) (compose a b))) % 3.25/3.40 (compose (compose (compose a g) (domain $X)) (compose a b))) % 3.25/3.40 (compose (compose (compose a g) (domain $X)) (compose a b)) = % 3.25/3.40 compose (compose (compose a g) (domain $X)) (compose a b) % 3.25/3.40 |- ifeq (codomain g) (domain a) % 3.25/3.40 (ifeq (codomain g) (codomain a) % 3.25/3.40 (compose (compose a g) (compose h (compose a b))) % 3.25/3.40 (compose (compose (compose a g) h) (compose a b))) % 3.25/3.40 (compose (compose (compose a g) h) (compose a b)) = % 3.25/3.40 compose (compose (compose a g) h) (compose a b) % 3.25/3.40 |- ifeq (codomain b) (codomain $X) % 3.25/3.40 (ifeq (codomain $_554) (codomain a) % 3.25/3.40 (compose (codomain $_554) (compose b (codomain $X))) % 3.25/3.40 (compose (compose (codomain $_554) b) (codomain $X))) % 3.25/3.40 (compose (compose (codomain $_554) b) (codomain $X)) = % 3.25/3.40 compose (compose (codomain $_554) b) (codomain $X) % 3.25/3.40 |- ifeq (codomain b) (domain $X) % 3.25/3.40 (ifeq (codomain $_554) (codomain a) % 3.25/3.40 (compose (codomain $_554) (compose b (domain $X))) % 3.25/3.40 (compose (compose (codomain $_554) b) (domain $X))) % 3.25/3.40 (compose (compose (codomain $_554) b) (domain $X)) = % 3.25/3.40 compose (compose (codomain $_554) b) (domain $X) % 3.25/3.40 |- ifeq (codomain g) (codomain $X) % 3.25/3.40 (ifeq (codomain $_556) (codomain a) % 3.25/3.40 (compose (codomain $_556) (compose g (codomain $X))) % 3.25/3.40 (compose (compose (codomain $_556) g) (codomain $X))) % 3.25/3.40 (compose (compose (codomain $_556) g) (codomain $X)) = % 3.25/3.40 compose (compose (codomain $_556) g) (codomain $X) % 3.25/3.40 |- ifeq (codomain g) (domain a) % 3.25/3.40 (ifeq (codomain $_556) (codomain a) % 3.25/3.40 (compose (codomain $_556) (compose g (compose a b))) % 3.25/3.40 (compose (compose (codomain $_556) g) (compose a b))) % 3.25/3.40 (compose (compose (codomain $_556) g) (compose a b)) = % 3.25/3.40 compose (compose (codomain $_556) g) (compose a b) % 3.25/3.40 |- ifeq (codomain g) (domain $X) % 3.25/3.40 (ifeq (codomain $_556) (codomain a) % 3.25/3.40 (compose (codomain $_556) (compose g (domain $X))) % 3.25/3.40 (compose (compose (codomain $_556) g) (domain $X))) % 3.25/3.40 (compose (compose (codomain $_556) g) (domain $X)) = % 3.25/3.40 compose (compose (codomain $_556) g) (domain $X) % 3.25/3.40 |- ifeq (codomain g) (domain a) % 3.25/3.40 (ifeq (domain $X) (codomain a) % 3.25/3.40 (compose (domain $X) (compose g (compose a b))) % 3.25/3.40 (compose (compose (domain $X) g) (compose a b))) % 3.25/3.40 (compose (compose (domain $X) g) (compose a b)) = % 3.25/3.40 compose (compose (domain $X) g) (compose a b) % 3.25/3.40 |- ifeq (codomain g) (codomain $_560) % 3.25/3.40 (ifeq (domain $X) (codomain a) % 3.25/3.40 (compose (domain $X) (compose g (codomain $_560))) % 3.25/3.40 (compose (compose (domain $X) g) (codomain $_560))) % 3.25/3.40 (compose (compose (domain $X) g) (codomain $_560)) = % 3.25/3.40 compose (compose (domain $X) g) (codomain $_560) % 3.25/3.40 |- ifeq (codomain g) (domain $_562) % 3.25/3.40 (ifeq (domain $X) (codomain a) % 3.25/3.40 (compose (domain $X) (compose g (domain $_562))) % 3.25/3.40 (compose (compose (domain $X) g) (domain $_562))) % 3.25/3.40 (compose (compose (domain $X) g) (domain $_562)) = % 3.25/3.40 compose (compose (domain $X) g) (domain $_562) % 3.25/3.40 |- ifeq (codomain g) (domain a) % 3.25/3.40 (ifeq (domain $X) (codomain a) % 3.25/3.40 (compose (domain $X) (compose h (compose a b))) % 3.25/3.40 (compose (compose (domain $X) h) (compose a b))) % 3.25/3.40 (compose (compose (domain $X) h) (compose a b)) = % 3.25/3.40 compose (compose (domain $X) h) (compose a b) % 3.25/3.40 |- ifeq (domain $_572) (codomain a) % 3.25/3.40 (ifeq (codomain $_1) (domain $_572) % 3.25/3.40 (compose (codomain $_1) (compose (domain $_572) h)) % 3.25/3.40 (compose (compose (codomain $_1) (domain $_572)) h)) % 3.25/3.40 (compose (compose (codomain $_1) (domain $_572)) h) = % 3.25/3.40 compose (compose (codomain $_1) (domain $_572)) h % 3.25/3.40 |- ifeq (domain $_572) (codomain a) % 3.25/3.40 (ifeq (domain $X) (domain $_572) % 3.25/3.40 (compose (domain $X) (compose (domain $_572) h)) % 3.25/3.40 (compose (compose (domain $X) (domain $_572)) h)) % 3.25/3.40 (compose (compose (domain $X) (domain $_572)) h) = % 3.25/3.40 compose (compose (domain $X) (domain $_572)) h % 3.25/3.40 |- ifeq (codomain $X) (codomain a) % 3.25/3.40 (ifeq (codomain $_574) (codomain $X) % 3.25/3.40 (compose (codomain $_574) (compose (codomain $X) h)) % 3.25/3.40 (compose (compose (codomain $_574) (codomain $X)) h)) % 3.25/3.40 (compose (compose (codomain $_574) (codomain $X)) h) = % 3.25/3.40 compose (compose (codomain $_574) (codomain $X)) h % 3.25/3.40 |- ifeq (codomain b) (codomain a) % 3.25/3.40 (ifeq (codomain $_574) (domain a) % 3.25/3.40 (compose (codomain $_574) (compose (compose a b) h)) % 3.25/3.40 (compose (compose (codomain $_574) (compose a b)) h)) % 3.25/3.40 (compose (compose (codomain $_574) (compose a b)) h) = % 3.25/3.40 compose (compose (codomain $_574) (compose a b)) h % 3.25/3.40 |- ifeq (codomain b) (codomain a) % 3.25/3.40 (ifeq (domain $X) (domain a) % 3.25/3.40 (compose (domain $X) (compose (compose a b) h)) % 3.25/3.40 (compose (compose (domain $X) (compose a b)) h)) % 3.25/3.40 (compose (compose (domain $X) (compose a b)) h) = % 3.25/3.40 compose (compose (domain $X) (compose a b)) h % 3.25/3.40 |- ifeq (codomain $X) (codomain a) % 3.25/3.40 (ifeq (domain $_577) (codomain $X) % 3.25/3.40 (compose (domain $_577) (compose (codomain $X) h)) % 3.25/3.40 (compose (compose (domain $_577) (codomain $X)) h)) % 3.25/3.40 (compose (compose (domain $_577) (codomain $X)) h) = % 3.25/3.40 compose (compose (domain $_577) (codomain $X)) h % 3.25/3.40 |- ifeq (codomain b) (domain $_586) % 3.25/3.40 (ifeq (codomain g) (domain a) % 3.25/3.40 (compose (compose a g) (compose (compose a b) $_586)) % 3.25/3.40 (compose (compose (compose a g) (compose a b)) $_586)) % 3.25/3.40 (compose (compose (compose a g) (compose a b)) $_586) = % 3.25/3.40 compose (compose (compose a g) (compose a b)) $_586 % 3.25/3.40 |- ifeq (codomain b) (domain a) % 3.25/3.40 (ifeq (codomain $_587) (domain a) % 3.25/3.40 (compose $_587 (compose (compose a b) (compose a g))) % 3.25/3.40 (compose (compose $_587 (compose a b)) (compose a g))) % 3.25/3.40 (compose (compose $_587 (compose a b)) (compose a g)) = % 3.25/3.40 compose (compose $_587 (compose a b)) (compose a g) % 3.25/3.40 |- ifeq (codomain b) (codomain $X) % 3.25/3.40 (ifeq (codomain g) (domain a) % 3.25/3.40 (compose (compose a g) (compose (compose a b) (codomain $X))) % 3.25/3.40 (compose (compose (compose a g) (compose a b)) (codomain $X))) % 3.25/3.40 (compose (compose (compose a g) (compose a b)) (codomain $X)) = % 3.25/3.40 compose (compose (compose a g) (compose a b)) (codomain $X) % 3.25/3.40 |- ifeq (codomain b) (domain a) % 3.25/3.40 (ifeq (codomain g) (domain a) % 3.25/3.40 (compose (compose a g) (compose (compose a b) (compose a g))) % 3.25/3.40 (compose (compose (compose a g) (compose a b)) (compose a g))) % 3.25/3.40 (compose (compose (compose a g) (compose a b)) (compose a g)) = % 3.25/3.40 compose (compose (compose a g) (compose a b)) (compose a g) % 3.25/3.40 |- ifeq (codomain b) (domain $X) % 3.25/3.40 (ifeq (codomain g) (domain a) % 3.25/3.40 (compose (compose a g) (compose (compose a b) (domain $X))) % 3.25/3.40 (compose (compose (compose a g) (compose a b)) (domain $X))) % 3.25/3.40 (compose (compose (compose a g) (compose a b)) (domain $X)) = % 3.25/3.40 compose (compose (compose a g) (compose a b)) (domain $X) % 3.25/3.40 |- ifeq (codomain b) (domain a) % 3.25/3.40 (ifeq (domain (compose (compose a b) (compose a g))) (domain a) % 3.25/3.40 (compose (compose a b) (compose a g)) % 3.25/3.40 (compose % 3.25/3.40 (compose (domain (compose (compose a b) (compose a g))) % 3.25/3.40 (compose a b)) (compose a g))) % 3.25/3.40 (compose % 3.25/3.40 (compose (domain (compose (compose a b) (compose a g))) % 3.25/3.40 (compose a b)) (compose a g)) = % 3.25/3.40 compose % 3.25/3.40 (compose (domain (compose (compose a b) (compose a g))) (compose a b)) % 3.25/3.40 (compose a g) % 3.25/3.40 |- ifeq (codomain b) (domain a) % 3.25/3.40 (ifeq (codomain $_1) (domain a) % 3.25/3.40 (compose (codomain $_1) (compose (compose a b) (compose a g))) % 3.25/3.40 (compose (compose (codomain $_1) (compose a b)) (compose a g))) % 3.25/3.40 (compose (compose (codomain $_1) (compose a b)) (compose a g)) = % 3.25/3.40 compose (compose (codomain $_1) (compose a b)) (compose a g) % 3.25/3.40 |- ifeq (codomain b) (domain a) % 3.25/3.40 (ifeq (domain $X) (domain a) % 3.25/3.40 (compose (domain $X) (compose (compose a b) (compose a g))) % 3.25/3.40 (compose (compose (domain $X) (compose a b)) (compose a g))) % 3.25/3.40 (compose (compose (domain $X) (compose a b)) (compose a g)) = % 3.25/3.40 compose (compose (domain $X) (compose a b)) (compose a g) % 3.25/3.40 |- ifeq (codomain g) (domain $_591) % 3.25/3.40 (ifeq (codomain g) (domain a) % 3.25/3.40 (compose (compose a g) (compose (compose a g) $_591)) % 3.25/3.40 (compose (compose (compose a g) (compose a g)) $_591)) % 3.25/3.40 (compose (compose (compose a g) (compose a g)) $_591) = % 3.25/3.40 compose (compose (compose a g) (compose a g)) $_591 % 3.25/3.40 |- ifeq (domain $X) (domain $_591) % 3.25/3.40 (ifeq (codomain g) (domain $X) % 3.25/3.40 (compose (compose a g) (compose (domain $X) $_591)) % 3.25/3.40 (compose (compose (compose a g) (domain $X)) $_591)) % 3.25/3.40 (compose (compose (compose a g) (domain $X)) $_591) = % 3.25/3.40 compose (compose (compose a g) (domain $X)) $_591 % 3.25/3.40 |- ifeq (codomain g) (domain $_591) % 3.25/3.40 (ifeq (codomain g) (codomain a) % 3.25/3.40 (compose (compose a g) (compose h $_591)) % 3.25/3.40 (compose (compose (compose a g) h) $_591)) % 3.25/3.40 (compose (compose (compose a g) h) $_591) = % 3.25/3.40 compose (compose (compose a g) h) $_591 % 3.25/3.40 |- ifeq (codomain $_592) (domain a) % 3.25/3.40 (ifeq (codomain g) (domain $_592) % 3.25/3.40 (compose (compose a g) (compose $_592 (compose a g))) % 3.25/3.40 (compose (compose (compose a g) $_592) (compose a g))) % 3.25/3.40 (compose (compose (compose a g) $_592) (compose a g)) = % 3.25/3.40 compose (compose (compose a g) $_592) (compose a g) % 3.25/3.40 |- ifeq (codomain g) (domain a) % 3.25/3.40 (ifeq (codomain g) (codomain a) % 3.25/3.40 (compose (compose a g) (compose h (compose a g))) % 3.25/3.40 (compose (compose (compose a g) h) (compose a g))) % 3.25/3.40 (compose (compose (compose a g) h) (compose a g)) = % 3.25/3.40 compose (compose (compose a g) h) (compose a g) % 3.25/3.40 |- ifeq (codomain $X) (domain a) % 3.25/3.40 (ifeq (codomain g) (codomain $X) % 3.25/3.40 (compose (compose a g) (compose (codomain $X) (compose a g))) % 3.25/3.40 (compose (compose (compose a g) (codomain $X)) (compose a g))) % 3.25/3.40 (compose (compose (compose a g) (codomain $X)) (compose a g)) = % 3.25/3.40 compose (compose (compose a g) (codomain $X)) (compose a g) % 3.25/3.40 |- ifeq (codomain g) (domain a) % 3.25/3.40 (ifeq (codomain g) (domain a) % 3.25/3.40 (compose (compose a g) (compose (compose a g) (compose a g))) % 3.25/3.40 (compose (compose (compose a g) (compose a g)) (compose a g))) % 3.25/3.40 (compose (compose (compose a g) (compose a g)) (compose a g)) = % 3.25/3.40 compose (compose (compose a g) (compose a g)) (compose a g) % 3.25/3.40 |- ifeq (domain $X) (domain a) % 3.25/3.40 (ifeq (codomain g) (domain $X) % 3.25/3.40 (compose (compose a g) (compose (domain $X) (compose a g))) % 3.25/3.40 (compose (compose (compose a g) (domain $X)) (compose a g))) % 3.25/3.40 (compose (compose (compose a g) (domain $X)) (compose a g)) = % 3.25/3.40 compose (compose (compose a g) (domain $X)) (compose a g) % 3.25/3.40 |- ifeq (codomain g) (domain a) % 3.25/3.40 (ifeq (codomain $_595) (domain a) % 3.25/3.40 (compose $_595 (compose (compose a g) (compose a g))) % 3.25/3.40 (compose (compose $_595 (compose a g)) (compose a g))) % 3.25/3.40 (compose (compose $_595 (compose a g)) (compose a g)) = % 3.25/3.40 compose (compose $_595 (compose a g)) (compose a g) % 3.25/3.40 |- ifeq (domain $X) (domain a) % 3.25/3.40 (ifeq (codomain $_595) (domain $X) % 3.25/3.40 (compose $_595 (compose (domain $X) (compose a g))) % 3.25/3.40 (compose (compose $_595 (domain $X)) (compose a g))) % 3.25/3.40 (compose (compose $_595 (domain $X)) (compose a g)) = % 3.25/3.40 compose (compose $_595 (domain $X)) (compose a g) % 3.25/3.40 |- ifeq (codomain g) (domain a) % 3.25/3.40 (ifeq (codomain $_595) (codomain a) % 3.25/3.40 (compose $_595 (compose h (compose a g))) % 3.25/3.40 (compose (compose $_595 h) (compose a g))) % 3.25/3.40 (compose (compose $_595 h) (compose a g)) = % 3.25/3.40 compose (compose $_595 h) (compose a g) % 3.25/3.40 |- ifeq (codomain g) (domain a) % 3.25/3.40 (ifeq (domain (compose (compose a g) (compose a g))) (domain a) % 3.25/3.40 (compose (compose a g) (compose a g)) % 3.25/3.40 (compose % 3.25/3.40 (compose (domain (compose (compose a g) (compose a g))) % 3.25/3.40 (compose a g)) (compose a g))) % 3.25/3.40 (compose % 3.25/3.40 (compose (domain (compose (compose a g) (compose a g))) % 3.25/3.40 (compose a g)) (compose a g)) = % 3.25/3.40 compose % 3.25/3.40 (compose (domain (compose (compose a g) (compose a g))) (compose a g)) % 3.25/3.40 (compose a g) % 3.25/3.40 |- ifeq (codomain g) (domain a) % 3.25/3.40 (ifeq (codomain $_1) (domain a) % 3.25/3.40 (compose (codomain $_1) (compose (compose a g) (compose a g))) % 3.25/3.40 (compose (compose (codomain $_1) (compose a g)) (compose a g))) % 3.25/3.40 (compose (compose (codomain $_1) (compose a g)) (compose a g)) = % 3.25/3.40 compose (compose (codomain $_1) (compose a g)) (compose a g) % 3.25/3.40 |- ifeq (codomain g) (domain a) % 3.25/3.40 (ifeq (domain $X) (domain a) % 3.25/3.40 (compose (domain $X) (compose (compose a g) (compose a g))) % 3.25/3.40 (compose (compose (domain $X) (compose a g)) (compose a g))) % 3.25/3.40 (compose (compose (domain $X) (compose a g)) (compose a g)) = % 3.25/3.40 compose (compose (domain $X) (compose a g)) (compose a g) % 3.25/3.40 |- ifeq (codomain g) (domain a) % 3.25/3.40 (ifeq (domain $X) (codomain a) % 3.25/3.40 (compose (domain $X) (compose h (compose a g))) % 3.25/3.40 (compose (compose (domain $X) h) (compose a g))) % 3.25/3.40 (compose (compose (domain $X) h) (compose a g)) = % 3.25/3.40 compose (compose (domain $X) h) (compose a g) % 3.25/3.40 |- ifeq (codomain $_603) (codomain a) % 3.25/3.40 (ifeq (codomain $_1) (codomain $_603) % 3.25/3.40 (compose (codomain $_1) (compose (codomain $_603) b)) % 3.25/3.40 (compose (compose (codomain $_1) (codomain $_603)) b)) % 3.25/3.40 (compose (compose (codomain $_1) (codomain $_603)) b) = % 3.25/3.40 compose (compose (codomain $_1) (codomain $_603)) b % 3.25/3.40 |- ifeq (codomain $_603) (codomain a) % 3.25/3.40 (ifeq (domain $X) (codomain $_603) % 3.25/3.40 (compose (domain $X) (compose (codomain $_603) b)) % 3.25/3.40 (compose (compose (domain $X) (codomain $_603)) b)) % 3.25/3.40 (compose (compose (domain $X) (codomain $_603)) b) = % 3.25/3.40 compose (compose (domain $X) (codomain $_603)) b % 3.25/3.40 |- ifeq (domain $_605) (codomain a) % 3.25/3.40 (ifeq (codomain $_1) (domain $_605) % 3.25/3.40 (compose (codomain $_1) (compose (domain $_605) b)) % 3.25/3.40 (compose (compose (codomain $_1) (domain $_605)) b)) % 3.25/3.40 (compose (compose (codomain $_1) (domain $_605)) b) = % 3.25/3.40 compose (compose (codomain $_1) (domain $_605)) b % 3.25/3.40 |- ifeq (domain $_605) (codomain a) % 3.25/3.40 (ifeq (domain $X) (domain $_605) % 3.25/3.40 (compose (domain $X) (compose (domain $_605) b)) % 3.25/3.40 (compose (compose (domain $X) (domain $_605)) b)) % 3.25/3.40 (compose (compose (domain $X) (domain $_605)) b) = % 3.25/3.40 compose (compose (domain $X) (domain $_605)) b % 3.25/3.40 |- ifeq (codomain b) (codomain a) % 3.25/3.40 (ifeq (codomain $_607) (domain a) % 3.25/3.40 (compose (codomain $_607) (compose (compose a b) b)) % 3.25/3.40 (compose (compose (codomain $_607) (compose a b)) b)) % 3.25/3.40 (compose (compose (codomain $_607) (compose a b)) b) = % 3.25/3.40 compose (compose (codomain $_607) (compose a b)) b % 3.25/3.40 |- ifeq (codomain b) (codomain a) % 3.25/3.40 (ifeq (domain $X) (domain a) % 3.25/3.40 (compose (domain $X) (compose (compose a b) b)) % 3.25/3.40 (compose (compose (domain $X) (compose a b)) b)) % 3.25/3.40 (compose (compose (domain $X) (compose a b)) b) = % 3.25/3.40 compose (compose (domain $X) (compose a b)) b % 3.25/3.40 |- ifeq (codomain $_613) (codomain a) % 3.25/3.40 (ifeq (codomain $_1) (codomain $_613) % 3.25/3.40 (compose (codomain $_1) (compose (codomain $_613) g)) % 3.25/3.40 (compose (compose (codomain $_1) (codomain $_613)) g)) % 3.25/3.40 (compose (compose (codomain $_1) (codomain $_613)) g) = % 3.25/3.40 compose (compose (codomain $_1) (codomain $_613)) g % 3.25/3.40 |- ifeq (codomain $_613) (codomain a) % 3.25/3.40 (ifeq (domain $X) (codomain $_613) % 3.25/3.40 (compose (domain $X) (compose (codomain $_613) g)) % 3.25/3.40 (compose (compose (domain $X) (codomain $_613)) g)) % 3.25/3.40 (compose (compose (domain $X) (codomain $_613)) g) = % 3.25/3.40 compose (compose (domain $X) (codomain $_613)) g % 3.25/3.41 |- ifeq (domain $X) (codomain a) % 3.25/3.41 (ifeq (codomain $_615) (domain $X) % 3.25/3.41 (compose (codomain $_615) (compose (domain $X) g)) % 3.25/3.41 (compose (compose (codomain $_615) (domain $X)) g)) % 3.25/3.41 (compose (compose (codomain $_615) (domain $X)) g) = % 3.25/3.41 compose (compose (codomain $_615) (domain $X)) g % 3.25/3.41 |- ifeq (domain $_627) (codomain (compose (codomain $_1) (domain $_627))) % 3.25/3.41 (ifeq (codomain $_1) (domain $_627) % 3.25/3.41 (compose (codomain $_1) % 3.25/3.41 (compose (domain $_627) % 3.25/3.41 (codomain (compose (codomain $_1) (domain $_627))))) % 3.25/3.41 (compose (codomain $_1) (domain $_627))) % 3.25/3.41 (compose (codomain $_1) (domain $_627)) = % 3.25/3.41 compose (codomain $_1) (domain $_627) % 3.25/3.41 |- ifeq (domain $_627) (codomain (compose (domain $X) (domain $_627))) % 3.25/3.41 (ifeq (domain $X) (domain $_627) % 3.25/3.41 (compose (domain $X) % 3.25/3.41 (compose (domain $_627) % 3.25/3.41 (codomain (compose (domain $X) (domain $_627))))) % 3.25/3.41 (compose (domain $X) (domain $_627))) % 3.25/3.41 (compose (domain $X) (domain $_627)) = % 3.25/3.41 compose (domain $X) (domain $_627) % 3.25/3.41 |- ifeq (codomain $X) (codomain (compose (codomain $_629) (codomain $X))) % 3.25/3.41 (ifeq (codomain $_629) (codomain $X) % 3.25/3.41 (compose (codomain $_629) % 3.25/3.41 (compose (codomain $X) % 3.25/3.41 (codomain (compose (codomain $_629) (codomain $X))))) % 3.25/3.41 (compose (codomain $_629) (codomain $X))) % 3.25/3.41 (compose (codomain $_629) (codomain $X)) = % 3.25/3.41 compose (codomain $_629) (codomain $X) % 3.25/3.41 |- ifeq (codomain $_633) (codomain $X) % 3.25/3.41 (ifeq (codomain g) (codomain $_633) % 3.25/3.41 (compose h (compose (codomain $_633) (codomain $X))) % 3.25/3.41 (compose (compose h (codomain $_633)) (codomain $X))) % 3.25/3.41 (compose (compose h (codomain $_633)) (codomain $X)) = % 3.25/3.41 compose (compose h (codomain $_633)) (codomain $X) % 3.25/3.41 |- ifeq (codomain $_633) (domain $X) % 3.25/3.41 (ifeq (codomain g) (codomain $_633) % 3.25/3.41 (compose h (compose (codomain $_633) (domain $X))) % 3.25/3.41 (compose (compose h (codomain $_633)) (domain $X))) % 3.25/3.41 (compose (compose h (codomain $_633)) (domain $X)) = % 3.25/3.41 compose (compose h (codomain $_633)) (domain $X) % 3.25/3.41 |- ifeq (domain $_644) (domain a) % 3.25/3.41 (ifeq (domain (compose (domain $_644) (compose a g))) (domain $_644) % 3.25/3.41 (compose (domain $_644) (compose a g)) % 3.25/3.41 (compose % 3.25/3.41 (compose (domain (compose (domain $_644) (compose a g))) % 3.25/3.41 (domain $_644)) (compose a g))) % 3.25/3.41 (compose % 3.25/3.41 (compose (domain (compose (domain $_644) (compose a g))) % 3.25/3.41 (domain $_644)) (compose a g)) = % 3.25/3.41 compose % 3.25/3.41 (compose (domain (compose (domain $_644) (compose a g))) % 3.25/3.41 (domain $_644)) (compose a g) % 3.25/3.41 |- ifeq (domain $_644) (domain a) % 3.25/3.41 (ifeq (codomain $_1) (domain $_644) % 3.25/3.41 (compose (codomain $_1) (compose (domain $_644) (compose a g))) % 3.25/3.41 (compose (compose (codomain $_1) (domain $_644)) (compose a g))) % 3.25/3.41 (compose (compose (codomain $_1) (domain $_644)) (compose a g)) = % 3.25/3.41 compose (compose (codomain $_1) (domain $_644)) (compose a g) % 3.25/3.41 |- ifeq (domain $_644) (domain a) % 3.25/3.41 (ifeq (domain $X) (domain $_644) % 3.25/3.41 (compose (domain $X) (compose (domain $_644) (compose a g))) % 3.25/3.41 (compose (compose (domain $X) (domain $_644)) (compose a g))) % 3.25/3.41 (compose (compose (domain $X) (domain $_644)) (compose a g)) = % 3.25/3.41 compose (compose (domain $X) (domain $_644)) (compose a g) % 3.25/3.41 |- ifeq (codomain g) (codomain $X) % 3.25/3.41 (ifeq (codomain g) (domain a) % 3.25/3.41 (compose (compose a g) (compose (compose a g) (codomain $X))) % 3.25/3.41 (compose (compose (compose a g) (compose a g)) (codomain $X))) % 3.25/3.41 (compose (compose (compose a g) (compose a g)) (codomain $X)) = % 3.25/3.41 compose (compose (compose a g) (compose a g)) (codomain $X) % 3.25/3.41 |- ifeq (codomain g) (domain $X) % 3.25/3.41 (ifeq (codomain g) (domain a) % 3.25/3.41 (compose (compose a g) (compose (compose a g) (domain $X))) % 3.25/3.41 (compose (compose (compose a g) (compose a g)) (domain $X))) % 3.25/3.41 (compose (compose (compose a g) (compose a g)) (domain $X)) = % 3.25/3.41 compose (compose (compose a g) (compose a g)) (domain $X) % 3.25/3.41 |- ifeq (codomain $X) (codomain $_678) % 3.25/3.41 (ifeq (codomain g) (codomain $X) % 3.25/3.41 (compose (compose a g) (compose (codomain $X) (codomain $_678))) % 3.25/3.41 (compose (compose (compose a g) (codomain $X)) (codomain $_678))) % 3.25/3.41 (compose (compose (compose a g) (codomain $X)) (codomain $_678)) = % 3.25/3.41 compose (compose (compose a g) (codomain $X)) (codomain $_678) % 3.25/3.41 |- ifeq (domain $X) (codomain $_678) % 3.25/3.41 (ifeq (codomain g) (domain $X) % 3.25/3.41 (compose (compose a g) (compose (domain $X) (codomain $_678))) % 3.25/3.41 (compose (compose (compose a g) (domain $X)) (codomain $_678))) % 3.25/3.41 (compose (compose (compose a g) (domain $X)) (codomain $_678)) = % 3.25/3.41 compose (compose (compose a g) (domain $X)) (codomain $_678) % 3.25/3.41 |- ifeq (codomain g) (domain $_680) % 3.25/3.41 (ifeq (domain (compose (compose a g) (domain $_680))) (domain a) % 3.25/3.41 (compose (compose a g) (domain $_680)) % 3.25/3.41 (compose % 3.25/3.41 (compose (domain (compose (compose a g) (domain $_680))) % 3.25/3.41 (compose a g)) (domain $_680))) % 3.25/3.41 (compose % 3.25/3.41 (compose (domain (compose (compose a g) (domain $_680))) % 3.25/3.41 (compose a g)) (domain $_680)) = % 3.25/3.41 compose % 3.25/3.41 (compose (domain (compose (compose a g) (domain $_680))) % 3.25/3.41 (compose a g)) (domain $_680) % 3.25/3.41 |- ifeq (codomain g) (domain $_680) % 3.25/3.41 (ifeq (codomain $_1) (domain a) % 3.25/3.41 (compose (codomain $_1) (compose (compose a g) (domain $_680))) % 3.25/3.41 (compose (compose (codomain $_1) (compose a g)) (domain $_680))) % 3.25/3.41 (compose (compose (codomain $_1) (compose a g)) (domain $_680)) = % 3.25/3.41 compose (compose (codomain $_1) (compose a g)) (domain $_680) % 3.25/3.41 |- ifeq (codomain g) (domain $_680) % 3.25/3.41 (ifeq (domain $X) (domain a) % 3.25/3.41 (compose (domain $X) (compose (compose a g) (domain $_680))) % 3.25/3.41 (compose (compose (domain $X) (compose a g)) (domain $_680))) % 3.25/3.41 (compose (compose (domain $X) (compose a g)) (domain $_680)) = % 3.25/3.41 compose (compose (domain $X) (compose a g)) (domain $_680) % 3.25/3.41 |- ifeq (codomain $X) (domain $_682) % 3.25/3.41 (ifeq (codomain g) (codomain $X) % 3.25/3.41 (compose (compose a g) (compose (codomain $X) (domain $_682))) % 3.25/3.41 (compose (compose (compose a g) (codomain $X)) (domain $_682))) % 3.25/3.41 (compose (compose (compose a g) (codomain $X)) (domain $_682)) = % 3.25/3.41 compose (compose (compose a g) (codomain $X)) (domain $_682) % 3.25/3.41 |- ifeq (domain $X) (domain $_682) % 3.25/3.41 (ifeq (codomain g) (domain $X) % 3.25/3.41 (compose (compose a g) (compose (domain $X) (domain $_682))) % 3.25/3.41 (compose (compose (compose a g) (domain $X)) (domain $_682))) % 3.25/3.41 (compose (compose (compose a g) (domain $X)) (domain $_682)) = % 3.25/3.41 compose (compose (compose a g) (domain $X)) (domain $_682) % 3.25/3.41 |- ifeq (domain $_690) (codomain a) % 3.25/3.41 (ifeq (domain $X) (domain $_690) % 3.25/3.41 (compose (domain $X) (compose (domain $_690) g)) % 3.25/3.41 (compose (compose (domain $X) (domain $_690)) g)) % 3.25/3.41 (compose (compose (domain $X) (domain $_690)) g) = % 3.25/3.41 compose (compose (domain $X) (domain $_690)) g % 3.25/3.41 |- ifeq (codomain g) (codomain $_694) % 3.25/3.41 (ifeq (domain $X) (codomain a) % 3.25/3.41 (compose (domain $X) (compose h (codomain $_694))) % 3.25/3.41 (compose (compose (domain $X) h) (codomain $_694))) % 3.25/3.41 (compose (compose (domain $X) h) (codomain $_694)) = % 3.25/3.41 compose (compose (domain $X) h) (codomain $_694) % 3.25/3.41 |- ifeq (codomain $_699) (domain a) % 3.25/3.41 (ifeq (domain (compose (codomain $_699) (compose a g))) % 3.25/3.41 (codomain $_699) (compose (codomain $_699) (compose a g)) % 3.25/3.41 (compose % 3.25/3.41 (compose (domain (compose (codomain $_699) (compose a g))) % 3.25/3.41 (codomain $_699)) (compose a g))) % 3.25/3.41 (compose % 3.25/3.41 (compose (domain (compose (codomain $_699) (compose a g))) % 3.25/3.41 (codomain $_699)) (compose a g)) = % 3.25/3.41 compose % 3.25/3.41 (compose (domain (compose (codomain $_699) (compose a g))) % 3.25/3.41 (codomain $_699)) (compose a g) % 3.25/3.41 |- ifeq (codomain $_699) (domain a) % 3.25/3.41 (ifeq (codomain $_1) (codomain $_699) % 3.25/3.41 (compose (codomain $_1) (compose (codomain $_699) (compose a g))) % 3.25/3.41 (compose (compose (codomain $_1) (codomain $_699)) (compose a g))) % 3.25/3.41 (compose (compose (codomain $_1) (codomain $_699)) (compose a g)) = % 3.25/3.41 compose (compose (codomain $_1) (codomain $_699)) (compose a g) % 3.25/3.41 |- ifeq (codomain $_699) (domain a) % 3.25/3.41 (ifeq (domain $X) (codomain $_699) % 3.25/3.41 (compose (domain $X) (compose (codomain $_699) (compose a g))) % 3.25/3.41 (compose (compose (domain $X) (codomain $_699)) (compose a g))) % 3.25/3.41 (compose (compose (domain $X) (codomain $_699)) (compose a g)) = % 3.25/3.41 compose (compose (domain $X) (codomain $_699)) (compose a g) % 3.25/3.41 |- ifeq (codomain b) (codomain $X) % 3.25/3.41 (ifeq (domain $_701) (domain a) % 3.25/3.41 (compose (domain $_701) (compose (compose a b) (codomain $X))) % 3.25/3.41 (compose (compose (domain $_701) (compose a b)) (codomain $X))) % 3.25/3.41 (compose (compose (domain $_701) (compose a b)) (codomain $X)) = % 3.25/3.41 compose (compose (domain $_701) (compose a b)) (codomain $X) % 3.25/3.41 |- ifeq (codomain b) (domain $X) % 3.25/3.41 (ifeq (domain $_701) (domain a) % 3.25/3.41 (compose (domain $_701) (compose (compose a b) (domain $X))) % 3.25/3.41 (compose (compose (domain $_701) (compose a b)) (domain $X))) % 3.25/3.41 (compose (compose (domain $_701) (compose a b)) (domain $X)) = % 3.25/3.41 compose (compose (domain $_701) (compose a b)) (domain $X) % 3.25/3.41 |- ifeq (codomain b) (codomain $X) % 3.25/3.41 (ifeq (domain (compose (compose a b) (codomain $X))) (domain a) % 3.25/3.41 (compose (compose a b) (codomain $X)) % 3.25/3.41 (compose % 3.25/3.41 (compose (domain (compose (compose a b) (codomain $X))) % 3.25/3.41 (compose a b)) (codomain $X))) % 3.25/3.41 (compose % 3.25/3.41 (compose (domain (compose (compose a b) (codomain $X))) % 3.25/3.41 (compose a b)) (codomain $X)) = % 3.25/3.41 compose % 3.25/3.41 (compose (domain (compose (compose a b) (codomain $X))) (compose a b)) % 3.25/3.41 (codomain $X) % 3.25/3.41 |- ifeq (codomain b) (domain $X) % 3.25/3.41 (ifeq (domain (compose (compose a b) (domain $X))) (domain a) % 3.25/3.41 (compose (compose a b) (domain $X)) % 3.25/3.41 (compose % 3.25/3.41 (compose (domain (compose (compose a b) (domain $X))) % 3.25/3.41 (compose a b)) (domain $X))) % 3.25/3.41 (compose % 3.25/3.41 (compose (domain (compose (compose a b) (domain $X))) % 3.25/3.41 (compose a b)) (domain $X)) = % 3.25/3.41 compose % 3.25/3.41 (compose (domain (compose (compose a b) (domain $X))) (compose a b)) % 3.25/3.41 (domain $X) % 3.25/3.41 |- ifeq (codomain b) (codomain $X) % 3.25/3.41 (ifeq (codomain $_709) (domain a) % 3.25/3.41 (compose (codomain $_709) (compose (compose a b) (codomain $X))) % 3.25/3.41 (compose (compose (codomain $_709) (compose a b)) (codomain $X))) % 3.25/3.41 (compose (compose (codomain $_709) (compose a b)) (codomain $X)) = % 3.25/3.41 compose (compose (codomain $_709) (compose a b)) (codomain $X) % 3.25/3.41 |- ifeq (codomain b) (domain $X) % 3.25/3.41 (ifeq (codomain $_709) (domain a) % 3.25/3.41 (compose (codomain $_709) (compose (compose a b) (domain $X))) % 3.25/3.41 (compose (compose (codomain $_709) (compose a b)) (domain $X))) % 3.25/3.41 (compose (compose (codomain $_709) (compose a b)) (domain $X)) = % 3.25/3.41 compose (compose (codomain $_709) (compose a b)) (domain $X) % 3.25/3.41 |- ifeq (codomain g) (codomain $X) % 3.25/3.41 (ifeq (codomain $_711) (domain a) % 3.25/3.41 (compose (codomain $_711) (compose (compose a g) (codomain $X))) % 3.25/3.41 (compose (compose (codomain $_711) (compose a g)) (codomain $X))) % 3.25/3.41 (compose (compose (codomain $_711) (compose a g)) (codomain $X)) = % 3.25/3.41 compose (compose (codomain $_711) (compose a g)) (codomain $X) % 3.25/3.41 |- ifeq (codomain b) (codomain $_722) % 3.25/3.41 (ifeq (domain $X) (codomain a) % 3.25/3.41 (compose (domain $X) (compose b (codomain $_722))) % 3.25/3.41 (compose (compose (domain $X) b) (codomain $_722))) % 3.25/3.41 (compose (compose (domain $X) b) (codomain $_722)) = % 3.25/3.41 compose (compose (domain $X) b) (codomain $_722) % 3.25/3.41 |- ifeq (codomain b) (domain $_724) % 3.25/3.41 (ifeq (domain $X) (codomain a) % 3.25/3.41 (compose (domain $X) (compose b (domain $_724))) % 3.25/3.41 (compose (compose (domain $X) b) (domain $_724))) % 3.25/3.41 (compose (compose (domain $X) b) (domain $_724)) = % 3.25/3.41 compose (compose (domain $X) b) (domain $_724) % 3.25/3.41 |- ifeq (codomain $_727) (codomain (compose (domain $X) (codomain $_727))) % 3.25/3.41 (ifeq (domain $X) (codomain $_727) % 3.25/3.41 (compose (domain $X) % 3.25/3.41 (compose (codomain $_727) % 3.25/3.41 (codomain (compose (domain $X) (codomain $_727))))) % 3.25/3.41 (compose (domain $X) (codomain $_727))) % 3.25/3.41 (compose (domain $X) (codomain $_727)) = % 3.25/3.41 compose (domain $X) (codomain $_727) % 3.25/3.41 |- ifeq (codomain $_729) (codomain $X) % 3.25/3.41 (ifeq (codomain b) (codomain $_729) % 3.25/3.41 (compose (compose a b) (compose (codomain $_729) (codomain $X))) % 3.25/3.41 (compose (compose (compose a b) (codomain $_729)) (codomain $X))) % 3.25/3.41 (compose (compose (compose a b) (codomain $_729)) (codomain $X)) = % 3.25/3.41 compose (compose (compose a b) (codomain $_729)) (codomain $X) % 3.25/3.41 |- ifeq (codomain $_729) (domain $X) % 3.25/3.41 (ifeq (codomain b) (codomain $_729) % 3.25/3.41 (compose (compose a b) (compose (codomain $_729) (domain $X))) % 3.25/3.41 (compose (compose (compose a b) (codomain $_729)) (domain $X))) % 3.25/3.41 (compose (compose (compose a b) (codomain $_729)) (domain $X)) = % 3.25/3.41 compose (compose (compose a b) (codomain $_729)) (domain $X) % 3.25/3.41 |- ifeq (codomain $_731) (domain a) % 3.25/3.41 (ifeq (domain (compose (codomain $_731) (compose a b))) % 3.25/3.41 (codomain $_731) (compose (codomain $_731) (compose a b)) % 3.25/3.41 (compose % 3.25/3.41 (compose (domain (compose (codomain $_731) (compose a b))) % 3.25/3.41 (codomain $_731)) (compose a b))) % 3.25/3.41 (compose % 3.25/3.41 (compose (domain (compose (codomain $_731) (compose a b))) % 3.25/3.41 (codomain $_731)) (compose a b)) = % 3.25/3.41 compose % 3.25/3.41 (compose (domain (compose (codomain $_731) (compose a b))) % 3.25/3.41 (codomain $_731)) (compose a b) % 3.25/3.41 |- ifeq (codomain $_731) (domain a) % 3.25/3.41 (ifeq (codomain $_1) (codomain $_731) % 3.25/3.41 (compose (codomain $_1) (compose (codomain $_731) (compose a b))) % 3.25/3.41 (compose (compose (codomain $_1) (codomain $_731)) (compose a b))) % 3.25/3.41 (compose (compose (codomain $_1) (codomain $_731)) (compose a b)) = % 3.25/3.41 compose (compose (codomain $_1) (codomain $_731)) (compose a b) % 3.25/3.41 |- ifeq (codomain $_731) (domain a) % 3.25/3.41 (ifeq (domain $X) (codomain $_731) % 3.25/3.41 (compose (domain $X) (compose (codomain $_731) (compose a b))) % 3.25/3.41 (compose (compose (domain $X) (codomain $_731)) (compose a b))) % 3.25/3.41 (compose (compose (domain $X) (codomain $_731)) (compose a b)) = % 3.25/3.41 compose (compose (domain $X) (codomain $_731)) (compose a b) % 3.25/3.41 |- ifeq (domain $X) (domain a) % 3.25/3.41 (ifeq (codomain $_733) (domain $X) % 3.25/3.41 (compose (codomain $_733) (compose (domain $X) (compose a b))) % 3.25/3.41 (compose (compose (codomain $_733) (domain $X)) (compose a b))) % 3.25/3.41 (compose (compose (codomain $_733) (domain $X)) (compose a b)) = % 3.25/3.41 compose (compose (codomain $_733) (domain $X)) (compose a b) % 3.25/3.41 |- ifeq (domain $X) (domain a) % 3.25/3.41 (ifeq (domain $_735) (domain $X) % 3.25/3.41 (compose (domain $_735) (compose (domain $X) (compose a b))) % 3.25/3.41 (compose (compose (domain $_735) (domain $X)) (compose a b))) % 3.25/3.41 (compose (compose (domain $_735) (domain $X)) (compose a b)) = % 3.25/3.41 compose (compose (domain $_735) (domain $X)) (compose a b) % 3.25/3.41 |- ifeq (domain $X) (codomain $_766) % 3.25/3.41 (ifeq (codomain g) (domain $X) % 3.25/3.41 (compose h (compose (domain $X) (codomain $_766))) % 3.25/3.41 (compose (compose h (domain $X)) (codomain $_766))) % 3.25/3.41 (compose (compose h (domain $X)) (codomain $_766)) = % 3.25/3.41 compose (compose h (domain $X)) (codomain $_766) % 3.25/3.41 |- ifeq (domain $X) (domain $_768) % 3.25/3.41 (ifeq (codomain g) (domain $X) % 3.25/3.41 (compose h (compose (domain $X) (domain $_768))) % 3.25/3.41 (compose (compose h (domain $X)) (domain $_768))) % 3.25/3.41 (compose (compose h (domain $X)) (domain $_768)) = % 3.25/3.41 compose (compose h (domain $X)) (domain $_768) % 3.25/3.41 |- ifeq (codomain g) (codomain $X) % 3.25/3.41 (ifeq (domain (compose (compose a g) (codomain $X))) (domain a) % 3.25/3.41 (compose (compose a g) (codomain $X)) % 3.25/3.41 (compose % 3.25/3.41 (compose (domain (compose (compose a g) (codomain $X))) % 3.25/3.41 (compose a g)) (codomain $X))) % 3.25/3.41 (compose % 3.25/3.41 (compose (domain (compose (compose a g) (codomain $X))) % 3.25/3.41 (compose a g)) (codomain $X)) = % 3.25/3.41 compose % 3.25/3.41 (compose (domain (compose (compose a g) (codomain $X))) (compose a g)) % 3.25/3.41 (codomain $X) % 3.25/3.41 |- ifeq (codomain g) (codomain $_784) % 3.25/3.41 (ifeq (domain $X) (domain a) % 3.25/3.41 (compose (domain $X) (compose (compose a g) (codomain $_784))) % 3.25/3.41 (compose (compose (domain $X) (compose a g)) (codomain $_784))) % 3.25/3.41 (compose (compose (domain $X) (compose a g)) (codomain $_784)) = % 3.25/3.41 compose (compose (domain $X) (compose a g)) (codomain $_784) % 3.25/3.41 |- ifeq (domain $X) (domain a) % 3.25/3.41 (ifeq (domain (compose (domain $X) (compose a b))) (domain $X) % 3.25/3.41 (compose (domain $X) (compose a b)) % 3.25/3.41 (compose % 3.25/3.41 (compose (domain (compose (domain $X) (compose a b))) % 3.25/3.41 (domain $X)) (compose a b))) % 3.25/3.41 (compose % 3.25/3.41 (compose (domain (compose (domain $X) (compose a b))) (domain $X)) % 3.25/3.41 (compose a b)) = % 3.25/3.41 compose % 3.25/3.41 (compose (domain (compose (domain $X) (compose a b))) (domain $X)) % 3.25/3.41 (compose a b) % 3.25/3.41 |- ifeq (domain $_808) (codomain $X) % 3.25/3.41 (ifeq (domain (compose (domain $_808) (codomain $X))) (domain $_808) % 3.25/3.41 (compose (domain $_808) (codomain $X)) % 3.25/3.41 (compose % 3.25/3.41 (compose (domain (compose (domain $_808) (codomain $X))) % 3.25/3.41 (domain $_808)) (codomain $X))) % 3.25/3.41 (compose % 3.25/3.41 (compose (domain (compose (domain $_808) (codomain $X))) % 3.25/3.41 (domain $_808)) (codomain $X)) = % 3.25/3.41 compose % 3.25/3.41 (compose (domain (compose (domain $_808) (codomain $X))) % 3.25/3.41 (domain $_808)) (codomain $X) % 3.25/3.41 |- ifeq (domain $_808) (domain $X) % 3.25/3.41 (ifeq (domain (compose (domain $_808) (domain $X))) (domain $_808) % 3.25/3.41 (compose (domain $_808) (domain $X)) % 3.25/3.41 (compose % 3.25/3.41 (compose (domain (compose (domain $_808) (domain $X))) % 3.25/3.41 (domain $_808)) (domain $X))) % 3.25/3.41 (compose % 3.25/3.41 (compose (domain (compose (domain $_808) (domain $X))) % 3.25/3.41 (domain $_808)) (domain $X)) = % 3.25/3.41 compose % 3.25/3.41 (compose (domain (compose (domain $_808) (domain $X))) (domain $_808)) % 3.25/3.41 (domain $X) % 3.25/3.41 |- ifeq (domain $_819) (codomain $_820) % 3.25/3.41 (ifeq (codomain $_1) (domain $_819) % 3.25/3.41 (compose (codomain $_1) (compose (domain $_819) (codomain $_820))) % 3.25/3.41 (compose (compose (codomain $_1) (domain $_819)) (codomain $_820))) % 3.25/3.41 (compose (compose (codomain $_1) (domain $_819)) (codomain $_820)) = % 3.25/3.41 compose (compose (codomain $_1) (domain $_819)) (codomain $_820) % 3.25/3.41 |- ifeq (domain $_819) (codomain $_820) % 3.25/3.41 (ifeq (codomain b) (domain $_819) % 3.25/3.41 (compose (compose a b) (compose (domain $_819) (codomain $_820))) % 3.25/3.41 (compose (compose (compose a b) (domain $_819)) (codomain $_820))) % 3.25/3.41 (compose (compose (compose a b) (domain $_819)) (codomain $_820)) = % 3.25/3.41 compose (compose (compose a b) (domain $_819)) (codomain $_820) % 3.25/3.41 |- ifeq (domain $_819) (codomain $_820) % 3.25/3.41 (ifeq (domain $X) (domain $_819) % 3.25/3.41 (compose (domain $X) (compose (domain $_819) (codomain $_820))) % 3.25/3.41 (compose (compose (domain $X) (domain $_819)) (codomain $_820))) % 3.25/3.41 (compose (compose (domain $X) (domain $_819)) (codomain $_820)) = % 3.25/3.41 compose (compose (domain $X) (domain $_819)) (codomain $_820) % 3.25/3.41 |- ifeq (domain $_822) (domain $_823) % 3.25/3.41 (ifeq (codomain $_1) (domain $_822) % 3.25/3.41 (compose (codomain $_1) (compose (domain $_822) (domain $_823))) % 3.25/3.41 (compose (compose (codomain $_1) (domain $_822)) (domain $_823))) % 3.25/3.41 (compose (compose (codomain $_1) (domain $_822)) (domain $_823)) = % 3.25/3.41 compose (compose (codomain $_1) (domain $_822)) (domain $_823) % 3.25/3.42 |- ifeq (domain $_822) (domain $_823) % 3.25/3.42 (ifeq (codomain b) (domain $_822) % 3.25/3.42 (compose (compose a b) (compose (domain $_822) (domain $_823))) % 3.25/3.42 (compose (compose (compose a b) (domain $_822)) (domain $_823))) % 3.25/3.42 (compose (compose (compose a b) (domain $_822)) (domain $_823)) = % 3.25/3.42 compose (compose (compose a b) (domain $_822)) (domain $_823) % 3.25/3.42 |- ifeq (domain $_822) (domain $_823) % 3.25/3.42 (ifeq (domain $X) (domain $_822) % 3.25/3.42 (compose (domain $X) (compose (domain $_822) (domain $_823))) % 3.25/3.42 (compose (compose (domain $X) (domain $_822)) (domain $_823))) % 3.25/3.42 (compose (compose (domain $X) (domain $_822)) (domain $_823)) = % 3.25/3.42 compose (compose (domain $X) (domain $_822)) (domain $_823) % 3.25/3.42 |- ifeq (codomain $_840) (codomain $X) % 3.25/3.42 (ifeq (codomain $_839) (codomain $_840) % 3.25/3.42 (compose (codomain $_839) (compose (codomain $_840) (codomain $X))) % 3.25/3.42 (compose (compose (codomain $_839) (codomain $_840)) % 3.25/3.42 (codomain $X))) % 3.25/3.42 (compose (compose (codomain $_839) (codomain $_840)) (codomain $X)) = % 3.25/3.42 compose (compose (codomain $_839) (codomain $_840)) (codomain $X) % 3.25/3.42 |- ifeq (codomain $_840) (domain $X) % 3.25/3.42 (ifeq (codomain $_839) (codomain $_840) % 3.25/3.42 (compose (codomain $_839) (compose (codomain $_840) (domain $X))) % 3.25/3.42 (compose (compose (codomain $_839) (codomain $_840)) (domain $X))) % 3.25/3.42 (compose (compose (codomain $_839) (codomain $_840)) (domain $X)) = % 3.25/3.42 compose (compose (codomain $_839) (codomain $_840)) (domain $X) % 3.25/3.42 |- ifeq (codomain $_843) (codomain $X) % 3.25/3.42 (ifeq (domain $_842) (codomain $_843) % 3.25/3.42 (compose (domain $_842) (compose (codomain $_843) (codomain $X))) % 3.25/3.42 (compose (compose (domain $_842) (codomain $_843)) (codomain $X))) % 3.25/3.42 (compose (compose (domain $_842) (codomain $_843)) (codomain $X)) = % 3.25/3.42 compose (compose (domain $_842) (codomain $_843)) (codomain $X) % 3.25/3.42 |- ifeq (codomain $_843) (domain $X) % 3.25/3.42 (ifeq (domain $_842) (codomain $_843) % 3.25/3.42 (compose (domain $_842) (compose (codomain $_843) (domain $X))) % 3.25/3.42 (compose (compose (domain $_842) (codomain $_843)) (domain $X))) % 3.25/3.42 (compose (compose (domain $_842) (codomain $_843)) (domain $X)) = % 3.25/3.42 compose (compose (domain $_842) (codomain $_843)) (domain $X) % 3.25/3.42 |- ifeq (codomain $_846) (codomain $_845) % 3.25/3.42 (ifeq (domain (compose (codomain $_846) (codomain $_845))) % 3.25/3.42 (codomain $_846) (compose (codomain $_846) (codomain $_845)) % 3.25/3.42 (compose % 3.25/3.42 (compose (domain (compose (codomain $_846) (codomain $_845))) % 3.25/3.42 (codomain $_846)) (codomain $_845))) % 3.25/3.42 (compose % 3.25/3.42 (compose (domain (compose (codomain $_846) (codomain $_845))) % 3.25/3.42 (codomain $_846)) (codomain $_845)) = % 3.25/3.42 compose % 3.25/3.42 (compose (domain (compose (codomain $_846) (codomain $_845))) % 3.25/3.42 (codomain $_846)) (codomain $_845) % 3.25/3.42 |- ifeq (codomain $_849) (domain $_848) % 3.25/3.42 (ifeq (domain (compose (codomain $_849) (domain $_848))) % 3.25/3.42 (codomain $_849) (compose (codomain $_849) (domain $_848)) % 3.25/3.42 (compose % 3.25/3.42 (compose (domain (compose (codomain $_849) (domain $_848))) % 3.25/3.42 (codomain $_849)) (domain $_848))) % 3.25/3.42 (compose % 3.25/3.42 (compose (domain (compose (codomain $_849) (domain $_848))) % 3.25/3.42 (codomain $_849)) (domain $_848)) = % 3.25/3.42 compose % 3.25/3.42 (compose (domain (compose (codomain $_849) (domain $_848))) % 3.25/3.42 (codomain $_849)) (domain $_848) % 3.25/3.42 SZS output end Saturation for /export/starexec/sandbox/benchmark/theBenchmark.p % 3.25/3.42 %------------------------------------------------------------------------------