%------------------------------------------------------------------------------ % File : Metis---2.4 % Problem : CAT002-10 : TPTP v8.1.0. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : metis --show proof --show saturation %s % Computer : n032.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 00:04:31 EDT 2022 % Result : Satisfiable 10.46s 10.71s % Output : Saturation 10.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.07 % Problem : CAT002-10 : TPTP v8.1.0. Released v7.3.0. % 0.02/0.08 % Command : metis --show proof --show saturation %s % 0.07/0.26 % Computer : n032.cluster.edu % 0.07/0.26 % Model : x86_64 x86_64 % 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.26 % Memory : 8042.1875MB % 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.26 % CPULimit : 300 % 0.07/0.26 % WCLimit : 600 % 0.07/0.26 % DateTime : Sun May 29 17:04:11 EDT 2022 % 0.07/0.26 % CPUTime : % 0.07/0.26 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % 10.46/10.71 % SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.46/10.71 % 10.46/10.71 SZS output start Saturation for /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.46/10.71 |- ifeq $A $A $B $C = $B % 10.46/10.71 |- codomain (domain $X) = domain $X % 10.46/10.71 |- domain (codomain $X) = codomain $X % 10.46/10.71 |- compose (domain $X) $X = $X % 10.46/10.71 |- compose $X (codomain $X) = $X % 10.46/10.71 |- ifeq (codomain $X) (domain $Y) (domain (compose $X $Y)) (domain $X) = % 10.46/10.71 domain $X % 10.46/10.71 |- ifeq (codomain $X) (domain $Y) (codomain (compose $X $Y)) % 10.46/10.71 (codomain $Y) = codomain $Y % 10.46/10.71 |- ifeq (codomain $Y) (domain $Z) % 10.46/10.71 (ifeq (codomain $X) (domain $Y) (compose $X (compose $Y $Z)) % 10.46/10.71 (compose (compose $X $Y) $Z)) (compose (compose $X $Y) $Z) = % 10.46/10.71 compose (compose $X $Y) $Z % 10.46/10.71 |- codomain a = domain b % 10.46/10.71 |- ifeq (codomain $X) (codomain g) % 10.46/10.71 (ifeq (codomain $Z) (codomain a) % 10.46/10.71 (ifeq (compose $Z a) $Y (ifeq (compose $X a) $Y $X $Z) $Z) $Z) $Z = % 10.46/10.71 $Z % 10.46/10.71 |- ifeq (codomain $X) (codomain g) % 10.46/10.71 (ifeq (codomain $Z) (codomain a) % 10.46/10.71 (ifeq (compose $Z b) $Y (ifeq (compose $X b) $Y $X $Z) $Z) $Z) $Z = % 10.46/10.71 $Z % 10.46/10.71 |- codomain g = domain (compose a b) % 10.46/10.71 |- codomain g = codomain h % 10.46/10.71 |- compose h (compose a b) = compose g (compose a b) % 10.46/10.71 |- ~(h = g) % 10.46/10.71 |- codomain (codomain $_1) = codomain $_1 % 10.46/10.71 |- domain (domain $X) = domain $X % 10.46/10.71 |- compose (codomain $_1) (codomain $_1) = codomain $_1 % 10.46/10.71 |- compose (domain $X) (domain $X) = domain $X % 10.46/10.71 |- compose h (codomain g) = h % 10.46/10.71 |- compose (codomain a) b = b % 10.46/10.71 |- compose (codomain g) (compose a b) = compose a b % 10.46/10.71 |- ifeq (codomain $_11) (codomain $_1) % 10.46/10.71 (codomain (compose $_11 (codomain $_1))) (codomain $_1) = codomain $_1 % 10.46/10.71 |- ifeq (codomain $_11) (domain $X) (codomain (compose $_11 (domain $X))) % 10.46/10.71 (domain $X) = domain $X % 10.46/10.71 |- ifeq (codomain $_11) (domain g) (codomain (compose $_11 h)) % 10.46/10.71 (codomain g) = codomain g % 10.46/10.71 |- codomain (compose g (compose a b)) = codomain b % 10.46/10.71 |- ifeq (codomain $_11) (codomain a) (codomain (compose $_11 b)) % 10.46/10.71 (codomain b) = codomain b % 10.46/10.71 |- ifeq (codomain $_11) (codomain g) % 10.46/10.71 (codomain (compose $_11 (compose a b))) (codomain b) = codomain b % 10.46/10.71 |- ifeq (codomain $_1) (domain $_12) % 10.46/10.71 (codomain (compose (codomain $_1) $_12)) (codomain $_12) = % 10.46/10.71 codomain $_12 % 10.46/10.71 |- ifeq (domain $X) (domain $_12) (codomain (compose (domain $X) $_12)) % 10.46/10.71 (codomain $_12) = codomain $_12 % 10.46/10.71 |- ifeq (codomain g) (domain $_12) (codomain (compose h $_12)) % 10.46/10.71 (codomain $_12) = codomain $_12 % 10.46/10.71 |- ifeq (codomain b) (domain $Y) % 10.46/10.71 (codomain (compose (compose g (compose a b)) $Y)) (codomain $Y) = % 10.46/10.71 codomain $Y % 10.46/10.71 |- ifeq (codomain $X) (domain g) % 10.46/10.71 (codomain (compose $X (compose g (compose a b)))) (codomain b) = % 10.46/10.71 codomain b % 10.46/10.71 |- compose (compose g (compose a b)) (codomain b) = compose g (compose a b) % 10.46/10.71 |- ifeq (codomain b) (domain $_14) (domain (compose b $_14)) (codomain a) = % 10.46/10.71 codomain a % 10.46/10.71 |- ifeq (codomain $X) (domain $_14) (domain (compose (codomain $X) $_14)) % 10.46/10.71 (codomain $X) = codomain $X % 10.46/10.71 |- ifeq (codomain b) (domain $_14) (domain (compose (compose a b) $_14)) % 10.46/10.71 (codomain g) = codomain g % 10.46/10.71 |- ifeq (domain $X) (domain $_14) (domain (compose (domain $X) $_14)) % 10.46/10.71 (domain $X) = domain $X % 10.46/10.71 |- domain (compose g (compose a b)) = domain g % 10.46/10.71 |- codomain g = domain a % 10.46/10.71 |- ifeq (codomain $_13) (codomain a) (domain (compose $_13 b)) % 10.46/10.71 (domain $_13) = domain $_13 % 10.46/10.71 |- ifeq (codomain $_13) (codomain $X) (domain (compose $_13 (codomain $X))) % 10.46/10.71 (domain $_13) = domain $_13 % 10.46/10.71 |- ifeq (codomain $_13) (codomain g) (domain (compose $_13 (compose a b))) % 10.46/10.71 (domain $_13) = domain $_13 % 10.46/10.71 |- ifeq (codomain $_13) (domain $X) (domain (compose $_13 (domain $X))) % 10.46/10.71 (domain $_13) = domain $_13 % 10.46/10.71 |- ifeq (codomain b) (domain $_14) % 10.46/10.71 (domain (compose (compose g (compose a b)) $_14)) (domain g) = % 10.46/10.71 domain g % 10.46/10.71 |- ifeq (codomain g) (domain $_14) (domain (compose h $_14)) (domain g) = % 10.46/10.71 domain g % 10.46/10.71 |- ifeq (codomain $X) (codomain g) (domain (compose $X a)) (domain $X) = % 10.46/10.71 domain $X % 10.46/10.71 |- ifeq (codomain a) (domain $Y) (domain (compose a $Y)) (codomain g) = % 10.46/10.71 codomain g % 10.46/10.71 |- ifeq (codomain $X) (codomain g) (codomain (compose $X a)) (codomain a) = % 10.46/10.71 codomain a % 10.46/10.71 |- compose (codomain g) a = a % 10.46/10.71 |- ifeq (codomain $X) (domain g) % 10.46/10.71 (domain (compose $X (compose g (compose a b)))) (domain $X) = % 10.46/10.71 domain $X % 10.46/10.71 |- compose (domain g) (compose g (compose a b)) = compose g (compose a b) % 10.46/10.71 |- domain h = domain g % 10.46/10.71 |- ifeq (codomain $X) (domain g) (domain (compose $X h)) (domain $X) = % 10.46/10.71 domain $X % 10.46/10.71 |- compose (domain g) h = h % 10.46/10.72 |- ifeq (codomain $_1) (domain g) (codomain (compose (codomain $_1) h)) % 10.46/10.72 (codomain g) = codomain g % 10.46/10.72 |- ifeq (codomain b) (domain g) % 10.46/10.72 (codomain (compose (compose g (compose a b)) h)) (codomain g) = % 10.46/10.72 codomain g % 10.46/10.72 |- ifeq (domain $X) (domain g) (codomain (compose (domain $X) h)) % 10.46/10.72 (codomain g) = codomain g % 10.46/10.72 |- ifeq (codomain g) (domain g) (codomain (compose h h)) (codomain g) = % 10.46/10.72 codomain g % 10.46/10.72 |- codomain b = codomain (compose a b) % 10.46/10.72 |- ifeq (codomain $_1) (codomain a) (codomain (compose (codomain $_1) b)) % 10.46/10.72 (codomain b) = codomain b % 10.46/10.72 |- ifeq (codomain b) (codomain a) % 10.46/10.72 (codomain (compose (compose g (compose a b)) b)) (codomain b) = % 10.46/10.72 codomain b % 10.46/10.72 |- ifeq (domain $X) (codomain a) (codomain (compose (domain $X) b)) % 10.46/10.72 (codomain b) = codomain b % 10.46/10.72 |- ifeq (codomain g) (codomain a) (codomain (compose h b)) (codomain b) = % 10.46/10.72 codomain b % 10.46/10.72 |- ifeq (codomain b) (codomain a) (codomain (compose (compose a b) b)) % 10.46/10.72 (codomain b) = codomain b % 10.46/10.72 |- ifeq (codomain b) (domain g) (codomain (compose (compose a b) h)) % 10.46/10.72 (codomain g) = codomain g % 10.46/10.72 |- ifeq (codomain b) (domain $Y) (codomain (compose (compose a b) $Y)) % 10.46/10.72 (codomain $Y) = codomain $Y % 10.46/10.72 |- compose (compose a b) (codomain b) = compose a b % 10.46/10.72 |- ifeq (codomain g) (codomain $_1) (codomain (compose h (codomain $_1))) % 10.46/10.72 (codomain $_1) = codomain $_1 % 10.46/10.72 |- ifeq (codomain g) (domain g) % 10.46/10.72 (codomain (compose h (compose g (compose a b)))) (codomain b) = % 10.46/10.72 codomain b % 10.46/10.72 |- ifeq (codomain g) (domain $X) (codomain (compose h (domain $X))) % 10.46/10.72 (domain $X) = domain $X % 10.46/10.72 |- codomain (compose h a) = codomain a % 10.46/10.72 |- ifeq (codomain g) (domain g) (codomain (compose h (compose h a))) % 10.46/10.72 (codomain a) = codomain a % 10.46/10.72 |- ifeq (codomain a) (domain g) (codomain (compose (compose h a) h)) % 10.46/10.72 (codomain g) = codomain g % 10.46/10.72 |- ifeq (codomain a) (domain $Y) (domain (compose (compose h a) $Y)) % 10.46/10.72 (domain g) = domain g % 10.46/10.72 |- ifeq (codomain a) (domain $Y) (codomain (compose (compose h a) $Y)) % 10.46/10.72 (codomain $Y) = codomain $Y % 10.46/10.72 |- ifeq (codomain $X) (domain g) (codomain (compose $X (compose h a))) % 10.46/10.72 (codomain a) = codomain a % 10.46/10.72 |- compose (compose h a) (codomain a) = compose h a % 10.46/10.72 |- ifeq (codomain b) (codomain g) (domain (compose b a)) (codomain a) = % 10.46/10.72 codomain a % 10.46/10.72 |- ifeq (codomain b) (codomain a) (domain (compose b b)) (codomain a) = % 10.46/10.72 codomain a % 10.46/10.72 |- ifeq (codomain b) (codomain $X) (domain (compose b (codomain $X))) % 10.46/10.72 (codomain a) = codomain a % 10.46/10.72 |- ifeq (codomain b) (codomain g) (domain (compose b (compose a b))) % 10.46/10.72 (codomain a) = codomain a % 10.46/10.72 |- ifeq (codomain b) (domain g) % 10.46/10.72 (domain (compose b (compose g (compose a b)))) (codomain a) = % 10.46/10.72 codomain a % 10.46/10.72 |- ifeq (codomain b) (domain $X) (domain (compose b (domain $X))) % 10.46/10.72 (codomain a) = codomain a % 10.46/10.72 |- ifeq (codomain b) (domain g) (domain (compose b h)) (codomain a) = % 10.46/10.72 codomain a % 10.46/10.72 |- domain (compose h a) = domain g % 10.46/10.72 |- ifeq (codomain g) (codomain a) (domain (compose h b)) (domain g) = % 10.46/10.72 domain g % 10.46/10.72 |- ifeq (codomain g) (codomain $X) (domain (compose h (codomain $X))) % 10.46/10.72 (domain g) = domain g % 10.46/10.72 |- ifeq (codomain g) (domain g) % 10.46/10.72 (domain (compose h (compose g (compose a b)))) (domain g) = domain g % 10.46/10.72 |- ifeq (codomain g) (domain $X) (domain (compose h (domain $X))) % 10.46/10.72 (domain g) = domain g % 10.46/10.72 |- ifeq (codomain g) (domain g) (domain (compose h h)) (domain g) = % 10.46/10.72 domain g % 10.46/10.72 |- ifeq (codomain g) (domain g) (domain (compose h (compose h a))) % 10.46/10.72 (domain g) = domain g % 10.46/10.72 |- ifeq (codomain b) (domain g) (domain (compose b (compose h a))) % 10.46/10.72 (codomain a) = codomain a % 10.46/10.72 |- ifeq (codomain $X) (domain g) (domain (compose $X (compose h a))) % 10.46/10.72 (domain $X) = domain $X % 10.46/10.72 |- compose (domain g) (compose h a) = compose h a % 10.46/10.72 |- ifeq (codomain $X) (codomain a) (domain (compose (codomain $X) b)) % 10.46/10.72 (codomain $X) = codomain $X % 10.46/10.72 |- ifeq (codomain b) (codomain a) (domain (compose (compose a b) b)) % 10.46/10.72 (codomain g) = codomain g % 10.46/10.72 |- ifeq (codomain b) (codomain a) % 10.46/10.72 (domain (compose (compose g (compose a b)) b)) (domain g) = domain g % 10.46/10.72 |- ifeq (domain $X) (codomain a) (domain (compose (domain $X) b)) % 10.46/10.72 (domain $X) = domain $X % 10.46/10.72 |- domain g = domain (compose g a) % 10.46/10.72 |- ifeq (codomain a) (codomain g) (domain (compose a a)) (codomain g) = % 10.46/10.72 codomain g % 10.46/10.72 |- ifeq (codomain $X) (codomain g) (domain (compose (codomain $X) a)) % 10.46/10.72 (codomain $X) = codomain $X % 10.46/10.72 |- ifeq (codomain b) (codomain g) (domain (compose (compose a b) a)) % 10.46/10.72 (codomain g) = codomain g % 10.46/10.72 |- ifeq (codomain b) (codomain g) % 10.46/10.72 (domain (compose (compose g (compose a b)) a)) (domain g) = domain g % 10.46/10.72 |- ifeq (codomain a) (codomain g) (domain (compose (compose h a) a)) % 10.46/10.72 (domain g) = domain g % 10.46/10.72 |- ifeq (domain $X) (codomain g) (domain (compose (domain $X) a)) % 10.46/10.72 (domain $X) = domain $X % 10.46/10.72 |- ifeq (codomain a) (codomain g) (domain (compose (compose g a) a)) % 10.46/10.72 (domain g) = domain g % 10.46/10.72 |- ifeq (codomain g) (domain g) (domain (compose h (compose g a))) % 10.46/10.72 (domain g) = domain g % 10.46/10.72 |- ifeq (codomain b) (domain g) (domain (compose b (compose g a))) % 10.46/10.72 (codomain a) = codomain a % 10.46/10.72 |- ifeq (codomain g) (domain g) (codomain (compose h (compose g a))) % 10.46/10.72 (codomain a) = codomain a % 10.46/10.72 |- ifeq (codomain $X) (domain g) (domain (compose $X (compose g a))) % 10.46/10.72 (domain $X) = domain $X % 10.46/10.72 |- ifeq (codomain a) (domain $Y) (domain (compose (compose g a) $Y)) % 10.46/10.72 (domain g) = domain g % 10.46/10.72 |- ifeq (codomain $X) (domain g) (codomain (compose $X (compose g a))) % 10.46/10.72 (codomain a) = codomain a % 10.46/10.72 |- compose (domain g) (compose g a) = compose g a % 10.46/10.72 |- ifeq (codomain a) (codomain $X) (domain (compose a (codomain $X))) % 10.46/10.72 (codomain g) = codomain g % 10.46/10.72 |- ifeq (codomain a) (codomain g) (domain (compose a (compose a b))) % 10.46/10.72 (codomain g) = codomain g % 10.46/10.72 |- ifeq (codomain a) (domain g) (domain (compose a (compose g a))) % 10.46/10.72 (codomain g) = codomain g % 10.46/10.72 |- ifeq (codomain a) (domain g) % 10.46/10.72 (domain (compose a (compose g (compose a b)))) (codomain g) = % 10.46/10.72 codomain g % 10.46/10.72 |- ifeq (codomain a) (domain g) (domain (compose a (compose h a))) % 10.46/10.72 (codomain g) = codomain g % 10.46/10.72 |- ifeq (codomain a) (domain $X) (domain (compose a (domain $X))) % 10.46/10.72 (codomain g) = codomain g % 10.46/10.72 |- ifeq (codomain a) (domain g) (domain (compose a h)) (codomain g) = % 10.46/10.72 codomain g % 10.46/10.72 |- codomain a = codomain (compose g a) % 10.46/10.72 |- ifeq (codomain $_1) (codomain g) (codomain (compose (codomain $_1) a)) % 10.46/10.72 (codomain a) = codomain a % 10.46/10.72 |- ifeq (codomain b) (codomain g) (codomain (compose (compose a b) a)) % 10.46/10.72 (codomain a) = codomain a % 10.46/10.72 |- ifeq (codomain b) (codomain g) % 10.46/10.72 (codomain (compose (compose g (compose a b)) a)) (codomain a) = % 10.46/10.72 codomain a % 10.46/10.72 |- ifeq (codomain a) (codomain g) (codomain (compose (compose h a) a)) % 10.46/10.72 (codomain a) = codomain a % 10.46/10.72 |- ifeq (domain $X) (codomain g) (codomain (compose (domain $X) a)) % 10.46/10.72 (codomain a) = codomain a % 10.46/10.72 |- ifeq (codomain a) (codomain g) (codomain (compose (compose g a) a)) % 10.46/10.72 (codomain a) = codomain a % 10.46/10.72 |- ifeq (codomain a) (domain g) (codomain (compose (compose g a) h)) % 10.46/10.72 (codomain g) = codomain g % 10.46/10.72 |- ifeq (codomain a) (domain $Y) (codomain (compose (compose g a) $Y)) % 10.46/10.72 (codomain $Y) = codomain $Y % 10.46/10.72 |- compose (compose g a) (codomain a) = compose g a % 10.46/10.72 |- ifeq (codomain $X) (codomain g) % 10.46/10.72 (domain (compose (codomain $X) (compose a b))) (codomain $X) = % 10.46/10.72 codomain $X % 10.46/10.72 |- ifeq (codomain b) (codomain g) % 10.46/10.72 (domain (compose (compose a b) (compose a b))) (codomain g) = % 10.46/10.72 codomain g % 10.46/10.72 |- ifeq (codomain a) (codomain g) % 10.46/10.72 (domain (compose (compose g a) (compose a b))) (domain g) = domain g % 10.46/10.72 |- ifeq (codomain b) (codomain g) % 10.46/10.72 (domain (compose (compose g (compose a b)) (compose a b))) % 10.46/10.72 (domain g) = domain g % 10.46/10.72 |- ifeq (codomain a) (codomain g) % 10.46/10.72 (domain (compose (compose h a) (compose a b))) (domain g) = domain g % 10.46/10.72 |- ifeq (domain $X) (codomain g) % 10.46/10.72 (domain (compose (domain $X) (compose a b))) (domain $X) = domain $X % 10.46/10.72 |- ifeq (codomain b) (codomain $X) % 10.46/10.72 (domain (compose (compose a b) (codomain $X))) (codomain g) = % 10.46/10.72 codomain g % 10.46/10.72 |- ifeq (codomain b) (domain g) % 10.46/10.72 (domain (compose (compose a b) (compose g a))) (codomain g) = % 10.46/10.72 codomain g % 10.46/10.72 |- ifeq (codomain b) (domain g) % 10.46/10.72 (domain (compose (compose a b) (compose g (compose a b)))) % 10.46/10.72 (codomain g) = codomain g % 10.46/10.72 |- ifeq (codomain b) (domain g) % 10.46/10.72 (domain (compose (compose a b) (compose h a))) (codomain g) = % 10.46/10.72 codomain g % 10.46/10.72 |- ifeq (codomain b) (domain $X) % 10.46/10.72 (domain (compose (compose a b) (domain $X))) (codomain g) = codomain g % 10.46/10.72 |- ifeq (codomain b) (domain g) (domain (compose (compose a b) h)) % 10.46/10.72 (codomain g) = codomain g % 10.46/10.72 |- ifeq (codomain $_1) (codomain g) % 10.46/10.72 (codomain (compose (codomain $_1) (compose a b))) (codomain b) = % 10.46/10.72 codomain b % 10.46/10.72 |- ifeq (codomain b) (codomain g) % 10.46/10.72 (codomain (compose (compose a b) (compose a b))) (codomain b) = % 10.46/10.72 codomain b % 10.46/10.72 |- ifeq (codomain a) (codomain g) % 10.46/10.72 (codomain (compose (compose g a) (compose a b))) (codomain b) = % 10.46/10.72 codomain b % 10.46/10.72 |- ifeq (codomain b) (codomain g) % 10.46/10.72 (codomain (compose (compose g (compose a b)) (compose a b))) % 10.46/10.72 (codomain b) = codomain b % 10.46/10.72 |- ifeq (codomain a) (codomain g) % 10.46/10.72 (codomain (compose (compose h a) (compose a b))) (codomain b) = % 10.46/10.72 codomain b % 10.46/10.72 |- ifeq (domain $X) (codomain g) % 10.46/10.72 (codomain (compose (domain $X) (compose a b))) (codomain b) = % 10.46/10.72 codomain b % 10.46/10.72 |- ifeq (codomain b) (codomain $X) % 10.46/10.72 (domain (compose (compose g (compose a b)) (codomain $X))) % 10.46/10.72 (domain g) = domain g % 10.46/10.72 |- ifeq (codomain b) (domain g) % 10.46/10.72 (domain (compose (compose g (compose a b)) (compose g a))) % 10.46/10.72 (domain g) = domain g % 10.46/10.72 |- ifeq (codomain b) (domain g) % 10.46/10.72 (domain (compose (compose g (compose a b)) (compose g (compose a b)))) % 10.46/10.72 (domain g) = domain g % 10.46/10.72 |- ifeq (codomain b) (domain g) % 10.46/10.72 (domain (compose (compose g (compose a b)) (compose h a))) % 10.46/10.72 (domain g) = domain g % 10.46/10.72 |- ifeq (codomain b) (domain $X) % 10.46/10.72 (domain (compose (compose g (compose a b)) (domain $X))) (domain g) = % 10.46/10.72 domain g % 10.46/10.72 |- ifeq (codomain b) (domain g) % 10.46/10.72 (domain (compose (compose g (compose a b)) h)) (domain g) = domain g % 10.46/10.72 |- ifeq (codomain $_1) (domain $_40) % 10.46/10.72 (codomain (compose (codomain $_1) (domain $_40))) (domain $_40) = % 10.46/10.72 domain $_40 % 10.46/10.72 |- ifeq (codomain b) (domain $_40) % 10.46/10.72 (codomain (compose (compose a b) (domain $_40))) (domain $_40) = % 10.46/10.72 domain $_40 % 10.46/10.73 |- ifeq (codomain a) (domain $_40) % 10.46/10.73 (codomain (compose (compose g a) (domain $_40))) (domain $_40) = % 10.46/10.73 domain $_40 % 10.46/10.73 |- ifeq (codomain b) (domain $_40) % 10.46/10.73 (codomain (compose (compose g (compose a b)) (domain $_40))) % 10.46/10.73 (domain $_40) = domain $_40 % 10.46/10.73 |- ifeq (codomain a) (domain $_40) % 10.46/10.73 (codomain (compose (compose h a) (domain $_40))) (domain $_40) = % 10.46/10.73 domain $_40 % 10.46/10.73 |- ifeq (domain $X) (domain $_40) % 10.46/10.73 (codomain (compose (domain $X) (domain $_40))) (domain $_40) = % 10.46/10.73 domain $_40 % 10.46/10.73 |- ifeq (codomain a) (codomain $X) % 10.46/10.73 (codomain (compose (compose h a) (codomain $X))) (codomain $X) = % 10.46/10.73 codomain $X % 10.46/10.73 |- ifeq (domain $_43) (codomain $_1) % 10.46/10.73 (codomain (compose (domain $_43) (codomain $_1))) (codomain $_1) = % 10.46/10.73 codomain $_1 % 10.46/10.73 |- ifeq (domain $_43) (domain g) % 10.46/10.73 (codomain (compose (domain $_43) (compose g a))) (codomain a) = % 10.46/10.73 codomain a % 10.46/10.73 |- ifeq (domain $_43) (domain g) % 10.46/10.73 (codomain (compose (domain $_43) (compose g (compose a b)))) % 10.46/10.73 (codomain b) = codomain b % 10.46/10.73 |- ifeq (domain $_43) (domain g) % 10.46/10.73 (codomain (compose (domain $_43) (compose h a))) (codomain a) = % 10.46/10.73 codomain a % 10.46/10.73 |- ifeq (codomain $_1) (codomain $_45) % 10.46/10.73 (codomain (compose (codomain $_1) (codomain $_45))) (codomain $_45) = % 10.46/10.73 codomain $_45 % 10.46/10.73 |- ifeq (codomain b) (codomain $_45) % 10.46/10.73 (codomain (compose (compose a b) (codomain $_45))) (codomain $_45) = % 10.46/10.73 codomain $_45 % 10.46/10.73 |- ifeq (codomain a) (codomain $_45) % 10.46/10.73 (codomain (compose (compose g a) (codomain $_45))) (codomain $_45) = % 10.46/10.73 codomain $_45 % 10.46/10.73 |- ifeq (codomain b) (codomain $_45) % 10.46/10.73 (codomain (compose (compose g (compose a b)) (codomain $_45))) % 10.46/10.73 (codomain $_45) = codomain $_45 % 10.46/10.73 |- ifeq (codomain $_47) (domain g) % 10.46/10.73 (codomain (compose (codomain $_47) (compose g a))) (codomain a) = % 10.46/10.73 codomain a % 10.46/10.73 |- ifeq (codomain $_47) (domain g) % 10.46/10.73 (codomain (compose (codomain $_47) (compose g (compose a b)))) % 10.46/10.73 (codomain b) = codomain b % 10.46/10.73 |- ifeq (codomain $_47) (domain g) % 10.46/10.73 (codomain (compose (codomain $_47) (compose h a))) (codomain a) = % 10.46/10.73 codomain a % 10.46/10.73 |- ifeq (codomain $X) (domain g) (domain (compose (codomain $X) h)) % 10.46/10.73 (codomain $X) = codomain $X % 10.46/10.73 |- ifeq (codomain a) (domain g) (domain (compose (compose g a) h)) % 10.46/10.73 (domain g) = domain g % 10.46/10.73 |- ifeq (codomain a) (domain g) (domain (compose (compose h a) h)) % 10.46/10.73 (domain g) = domain g % 10.46/10.73 |- ifeq (domain $X) (domain g) (domain (compose (domain $X) h)) % 10.46/10.73 (domain $X) = domain $X % 10.46/10.73 |- ifeq (domain $_57) (codomain $X) % 10.46/10.73 (domain (compose (domain $_57) (codomain $X))) (domain $_57) = % 10.46/10.73 domain $_57 % 10.46/10.73 |- ifeq (domain $_57) (domain g) % 10.46/10.73 (domain (compose (domain $_57) (compose g a))) (domain $_57) = % 10.46/10.73 domain $_57 % 10.46/10.73 |- ifeq (domain $_57) (domain g) % 10.46/10.73 (domain (compose (domain $_57) (compose g (compose a b)))) % 10.46/10.73 (domain $_57) = domain $_57 % 10.46/10.73 |- ifeq (domain $_57) (domain g) % 10.46/10.73 (domain (compose (domain $_57) (compose h a))) (domain $_57) = % 10.46/10.73 domain $_57 % 10.46/10.73 |- ifeq (domain $_57) (domain $X) % 10.46/10.73 (domain (compose (domain $_57) (domain $X))) (domain $_57) = % 10.46/10.73 domain $_57 % 10.46/10.73 |- ifeq (codomain $X) (domain g) % 10.46/10.73 (domain (compose (codomain $X) (compose h a))) (codomain $X) = % 10.46/10.73 codomain $X % 10.46/10.73 |- ifeq (codomain $X) (codomain $_60) % 10.46/10.73 (domain (compose (codomain $X) (codomain $_60))) (codomain $X) = % 10.46/10.73 codomain $X % 10.46/10.73 |- ifeq (codomain a) (codomain $_60) % 10.46/10.73 (domain (compose (compose g a) (codomain $_60))) (domain g) = domain g % 10.46/10.73 |- ifeq (codomain a) (codomain $_60) % 10.46/10.73 (domain (compose (compose h a) (codomain $_60))) (domain g) = domain g % 10.46/10.73 |- ifeq (codomain $X) (domain $_62) % 10.46/10.73 (domain (compose (codomain $X) (domain $_62))) (codomain $X) = % 10.46/10.73 codomain $X % 10.46/10.73 |- ifeq (codomain a) (domain $_62) % 10.46/10.73 (domain (compose (compose g a) (domain $_62))) (domain g) = domain g % 10.46/10.73 |- ifeq (codomain a) (domain $_62) % 10.46/10.73 (domain (compose (compose h a) (domain $_62))) (domain g) = domain g % 10.46/10.73 |- ifeq (codomain $_74) (domain g) % 10.46/10.73 (domain (compose (codomain $_74) (compose g a))) (codomain $_74) = % 10.46/10.73 codomain $_74 % 10.46/10.73 |- ifeq (codomain $_74) (domain g) % 10.46/10.73 (domain (compose (codomain $_74) (compose g (compose a b)))) % 10.46/10.73 (codomain $_74) = codomain $_74 % 10.46/10.73 |- ifeq (codomain b) (domain g) % 10.46/10.73 (codomain (compose (compose g (compose a b)) (compose g a))) % 10.46/10.73 (codomain a) = codomain a % 10.46/10.73 |- ifeq (codomain b) (domain g) % 10.46/10.73 (codomain % 10.46/10.73 (compose (compose g (compose a b)) (compose g (compose a b)))) % 10.46/10.73 (codomain b) = codomain b % 10.46/10.73 |- ifeq (codomain b) (domain g) % 10.46/10.73 (codomain (compose (compose g (compose a b)) (compose h a))) % 10.46/10.73 (codomain a) = codomain a % 10.46/10.73 |- $C = % 10.46/10.73 ifeq (codomain $C) (codomain a) % 10.46/10.73 (ifeq (compose $C a) $_100 (ifeq (compose g a) $_100 g $C) $C) $C % 10.46/10.73 |- ifeq (codomain $_101) (codomain a) % 10.46/10.73 (ifeq (compose $_101 a) $_100 (ifeq a $_100 (codomain g) $_101) $_101) % 10.46/10.73 $_101 = $_101 % 10.46/10.73 |- ifeq (codomain $_99) (codomain g) % 10.46/10.73 (ifeq (codomain $_101) (codomain a) % 10.46/10.73 (ifeq (compose $_101 a) (compose $_99 a) $_99 $_101) $_101) $_101 = % 10.46/10.73 $_101 % 10.46/10.73 |- ifeq (codomain $_99) (codomain g) % 10.46/10.73 (ifeq (codomain g) (codomain a) % 10.46/10.73 (ifeq a $_100 (ifeq (compose $_99 a) $_100 $_99 (codomain g)) % 10.46/10.73 (codomain g)) (codomain g)) (codomain g) = codomain g % 10.46/10.73 |- ifeq (codomain $_99) (codomain g) % 10.46/10.73 (ifeq (codomain $_101) (codomain a) % 10.46/10.73 (ifeq (compose $_99 a) (compose $_101 a) $_99 $_101) $_101) $_101 = % 10.46/10.73 $_101 % 10.46/10.73 |- ifeq (codomain $_99) (codomain g) % 10.46/10.73 (ifeq (codomain $_1) (codomain a) % 10.46/10.73 (ifeq (compose (codomain $_1) a) $_100 % 10.46/10.73 (ifeq (compose $_99 a) $_100 $_99 (codomain $_1)) % 10.46/10.73 (codomain $_1)) (codomain $_1)) (codomain $_1) = codomain $_1 % 10.46/10.73 |- ifeq (codomain $_99) (codomain g) % 10.46/10.73 (ifeq (codomain b) (codomain a) % 10.46/10.73 (ifeq (compose (compose a b) a) $_100 % 10.46/10.73 (ifeq (compose $_99 a) $_100 $_99 (compose a b)) (compose a b)) % 10.46/10.73 (compose a b)) (compose a b) = compose a b % 10.46/10.73 |- ifeq (codomain $_99) (codomain g) % 10.46/10.73 (ifeq (compose (compose g a) a) $_100 % 10.46/10.73 (ifeq (compose $_99 a) $_100 $_99 (compose g a)) (compose g a)) % 10.46/10.73 (compose g a) = compose g a % 10.46/10.73 |- ifeq (codomain $_99) (codomain g) % 10.46/10.73 (ifeq (codomain b) (codomain a) % 10.46/10.73 (ifeq (compose (compose g (compose a b)) a) $_100 % 10.46/10.73 (ifeq (compose $_99 a) $_100 $_99 (compose g (compose a b))) % 10.46/10.73 (compose g (compose a b))) (compose g (compose a b))) % 10.46/10.73 (compose g (compose a b)) = compose g (compose a b) % 10.46/10.73 |- ifeq (codomain $_99) (codomain g) % 10.46/10.73 (ifeq (compose (compose h a) a) $_100 % 10.46/10.73 (ifeq (compose $_99 a) $_100 $_99 (compose h a)) (compose h a)) % 10.46/10.73 (compose h a) = compose h a % 10.46/10.73 |- ifeq (codomain $_99) (codomain g) % 10.46/10.73 (ifeq (domain $X) (codomain a) % 10.46/10.73 (ifeq (compose (domain $X) a) $_100 % 10.46/10.73 (ifeq (compose $_99 a) $_100 $_99 (domain $X)) (domain $X)) % 10.46/10.73 (domain $X)) (domain $X) = domain $X % 10.46/10.73 |- ifeq (codomain $_99) (codomain g) % 10.46/10.73 (ifeq (codomain g) (codomain a) % 10.46/10.73 (ifeq (compose h a) $_100 (ifeq (compose $_99 a) $_100 $_99 h) h) % 10.46/10.73 h) h = h % 10.46/10.73 |- ifeq (codomain $_99) (codomain g) % 10.46/10.73 (ifeq (compose a a) $_100 (ifeq (compose $_99 a) $_100 $_99 a) a) a = % 10.46/10.73 a % 10.46/10.73 |- ifeq (codomain $_1) (codomain g) % 10.46/10.73 (ifeq (codomain $_101) (codomain a) % 10.46/10.73 (ifeq (compose $_101 a) $_100 % 10.46/10.73 (ifeq (compose (codomain $_1) a) $_100 (codomain $_1) $_101) % 10.46/10.73 $_101) $_101) $_101 = $_101 % 10.46/10.73 |- ifeq (codomain b) (codomain g) % 10.46/10.73 (ifeq (codomain $_101) (codomain a) % 10.46/10.73 (ifeq (compose $_101 a) $_100 % 10.46/10.73 (ifeq (compose (compose a b) a) $_100 (compose a b) $_101) % 10.46/10.73 $_101) $_101) $_101 = $_101 % 10.46/10.73 |- ifeq (codomain a) (codomain g) % 10.46/10.73 (ifeq (codomain $_101) (codomain a) % 10.46/10.73 (ifeq (compose $_101 a) $_100 % 10.46/10.73 (ifeq (compose (compose g a) a) $_100 (compose g a) $_101) % 10.46/10.73 $_101) $_101) $_101 = $_101 % 10.46/10.73 |- ifeq (codomain b) (codomain g) % 10.46/10.73 (ifeq (codomain $_101) (codomain a) % 10.46/10.73 (ifeq (compose $_101 a) $_100 % 10.46/10.73 (ifeq (compose (compose g (compose a b)) a) $_100 % 10.46/10.73 (compose g (compose a b)) $_101) $_101) $_101) $_101 = $_101 % 10.46/10.73 |- ifeq (codomain a) (codomain g) % 10.46/10.73 (ifeq (codomain $_101) (codomain a) % 10.46/10.73 (ifeq (compose $_101 a) $_100 % 10.46/10.73 (ifeq (compose (compose h a) a) $_100 (compose h a) $_101) % 10.46/10.73 $_101) $_101) $_101 = $_101 % 10.46/10.73 |- ifeq (domain $X) (codomain g) % 10.46/10.73 (ifeq (codomain $_101) (codomain a) % 10.46/10.73 (ifeq (compose $_101 a) $_100 % 10.46/10.73 (ifeq (compose (domain $X) a) $_100 (domain $X) $_101) $_101) % 10.46/10.73 $_101) $_101 = $_101 % 10.46/10.73 |- ifeq (codomain $_101) (codomain a) % 10.46/10.73 (ifeq (compose $_101 a) $_100 (ifeq (compose h a) $_100 h $_101) % 10.46/10.73 $_101) $_101 = $_101 % 10.46/10.73 |- $C = % 10.46/10.73 ifeq (codomain $C) (codomain a) % 10.46/10.73 (ifeq (compose $C b) $_103 (ifeq (compose g b) $_103 g $C) $C) $C % 10.46/10.73 |- ifeq (codomain a) (codomain g) % 10.46/10.73 (ifeq (codomain $_104) (codomain a) % 10.46/10.73 (ifeq (compose $_104 b) $_103 (ifeq b $_103 (codomain a) $_104) % 10.46/10.73 $_104) $_104) $_104 = $_104 % 10.46/10.73 |- ifeq (codomain $_102) (codomain g) % 10.46/10.73 (ifeq (codomain $_104) (codomain a) % 10.46/10.73 (ifeq (compose $_104 b) (compose $_102 b) $_102 $_104) $_104) % 10.46/10.73 $_104 = $_104 % 10.46/10.73 |- ifeq (codomain $_102) (codomain g) % 10.46/10.73 (ifeq b $_103 (ifeq (compose $_102 b) $_103 $_102 (codomain a)) % 10.46/10.73 (codomain a)) (codomain a) = codomain a % 10.46/10.73 |- ifeq (codomain $_102) (codomain g) % 10.46/10.73 (ifeq (codomain $_104) (codomain a) % 10.46/10.73 (ifeq (compose $_102 b) (compose $_104 b) $_102 $_104) $_104) % 10.46/10.73 $_104 = $_104 % 10.46/10.73 |- ifeq (codomain $_102) (codomain g) % 10.46/10.73 (ifeq (codomain $_1) (codomain a) % 10.46/10.73 (ifeq (compose (codomain $_1) b) $_103 % 10.46/10.73 (ifeq (compose $_102 b) $_103 $_102 (codomain $_1)) % 10.46/10.73 (codomain $_1)) (codomain $_1)) (codomain $_1) = codomain $_1 % 10.46/10.73 |- ifeq (codomain $_102) (codomain g) % 10.46/10.73 (ifeq (codomain b) (codomain a) % 10.46/10.73 (ifeq (compose (compose a b) b) $_103 % 10.46/10.73 (ifeq (compose $_102 b) $_103 $_102 (compose a b)) % 10.46/10.73 (compose a b)) (compose a b)) (compose a b) = compose a b % 10.46/10.73 |- ifeq (codomain $_102) (codomain g) % 10.46/10.73 (ifeq (compose g (compose a b)) $_103 % 10.46/10.73 (ifeq (compose $_102 b) $_103 $_102 (compose g a)) (compose g a)) % 10.46/10.73 (compose g a) = compose g a % 10.46/10.73 |- ifeq (codomain $_102) (codomain g) % 10.46/10.73 (ifeq (codomain b) (codomain a) % 10.46/10.73 (ifeq (compose (compose g (compose a b)) b) $_103 % 10.46/10.73 (ifeq (compose $_102 b) $_103 $_102 (compose g (compose a b))) % 10.46/10.73 (compose g (compose a b))) (compose g (compose a b))) % 10.46/10.73 (compose g (compose a b)) = compose g (compose a b) % 10.46/10.73 |- ifeq (codomain $_102) (codomain g) % 10.46/10.73 (ifeq (compose g (compose a b)) $_103 % 10.46/10.73 (ifeq (compose $_102 b) $_103 $_102 (compose h a)) (compose h a)) % 10.46/10.73 (compose h a) = compose h a % 10.46/10.73 |- ifeq (codomain $_102) (codomain g) % 10.46/10.73 (ifeq (domain $X) (codomain a) % 10.46/10.73 (ifeq (compose (domain $X) b) $_103 % 10.46/10.73 (ifeq (compose $_102 b) $_103 $_102 (domain $X)) (domain $X)) % 10.46/10.73 (domain $X)) (domain $X) = domain $X % 10.46/10.73 |- ifeq (codomain $_102) (codomain g) % 10.46/10.73 (ifeq (codomain g) (codomain a) % 10.46/10.73 (ifeq (compose h b) $_103 (ifeq (compose $_102 b) $_103 $_102 h) h) % 10.46/10.73 h) h = h % 10.46/10.73 |- ifeq (codomain $_102) (codomain g) % 10.46/10.73 (ifeq (compose a b) $_103 (ifeq (compose $_102 b) $_103 $_102 a) a) % 10.46/10.73 a = a % 10.46/10.73 |- ifeq (codomain $_1) (codomain g) % 10.46/10.73 (ifeq (codomain $_104) (codomain a) % 10.46/10.73 (ifeq (compose $_104 b) $_103 % 10.46/10.73 (ifeq (compose (codomain $_1) b) $_103 (codomain $_1) $_104) % 10.46/10.73 $_104) $_104) $_104 = $_104 % 10.46/10.73 |- ifeq (codomain b) (codomain g) % 10.46/10.73 (ifeq (codomain $_104) (codomain a) % 10.46/10.73 (ifeq (compose $_104 b) $_103 % 10.46/10.73 (ifeq (compose (compose a b) b) $_103 (compose a b) $_104) % 10.46/10.73 $_104) $_104) $_104 = $_104 % 10.46/10.73 |- ifeq (codomain a) (codomain g) % 10.46/10.73 (ifeq (codomain $_104) (codomain a) % 10.46/10.73 (ifeq (compose $_104 b) $_103 % 10.46/10.73 (ifeq (compose g (compose a b)) $_103 (compose g a) $_104) % 10.46/10.73 $_104) $_104) $_104 = $_104 % 10.46/10.73 |- ifeq (codomain b) (codomain g) % 10.46/10.73 (ifeq (codomain $_104) (codomain a) % 10.46/10.73 (ifeq (compose $_104 b) $_103 % 10.46/10.73 (ifeq (compose (compose g (compose a b)) b) $_103 % 10.46/10.73 (compose g (compose a b)) $_104) $_104) $_104) $_104 = $_104 % 10.46/10.73 |- ifeq (codomain a) (codomain g) % 10.46/10.73 (ifeq (codomain $_104) (codomain a) % 10.46/10.73 (ifeq (compose $_104 b) $_103 % 10.46/10.73 (ifeq (compose g (compose a b)) $_103 (compose h a) $_104) % 10.46/10.73 $_104) $_104) $_104 = $_104 % 10.46/10.73 |- ifeq (domain $X) (codomain g) % 10.46/10.73 (ifeq (codomain $_104) (codomain a) % 10.46/10.73 (ifeq (compose $_104 b) $_103 % 10.46/10.73 (ifeq (compose (domain $X) b) $_103 (domain $X) $_104) $_104) % 10.46/10.73 $_104) $_104 = $_104 % 10.46/10.73 |- ifeq (codomain $_104) (codomain a) % 10.46/10.73 (ifeq (compose $_104 b) $_103 (ifeq (compose h b) $_103 h $_104) % 10.46/10.73 $_104) $_104 = $_104 % 10.46/10.73 |- ifeq (codomain a) (domain g) % 10.46/10.73 (domain (compose (compose g a) (compose g (compose a b)))) % 10.46/10.73 (domain g) = domain g % 10.46/10.73 |- ifeq (codomain a) (domain g) % 10.46/10.73 (domain (compose (compose h a) (compose g (compose a b)))) % 10.46/10.73 (domain g) = domain g % 10.46/10.73 |- ifeq (codomain a) (domain g) % 10.46/10.73 (codomain (compose (compose h a) (compose g a))) (codomain a) = % 10.46/10.73 codomain a % 10.46/10.73 |- ifeq (codomain a) (domain g) % 10.46/10.73 (codomain (compose (compose h a) (compose g (compose a b)))) % 10.46/10.73 (codomain b) = codomain b % 10.46/10.74 |- ifeq (codomain a) (domain g) % 10.46/10.74 (codomain (compose (compose h a) (compose h a))) (codomain a) = % 10.46/10.74 codomain a % 10.46/10.74 |- ifeq (codomain b) (domain g) % 10.46/10.74 (codomain (compose (compose a b) (compose h a))) (codomain a) = % 10.46/10.74 codomain a % 10.46/10.74 |- ifeq (codomain a) (domain g) % 10.46/10.74 (codomain (compose (compose g a) (compose h a))) (codomain a) = % 10.46/10.74 codomain a % 10.46/10.74 |- ifeq (codomain b) (domain $_123) % 10.46/10.74 (compose (codomain a) (compose b $_123)) (compose b $_123) = % 10.46/10.74 compose b $_123 % 10.46/10.74 |- ifeq (codomain a) (domain $_123) % 10.46/10.74 (compose (codomain g) (compose a $_123)) (compose a $_123) = % 10.46/10.74 compose a $_123 % 10.46/10.74 |- ifeq (codomain b) (domain $_123) % 10.46/10.74 (compose (codomain g) (compose (compose a b) $_123)) % 10.46/10.74 (compose (compose a b) $_123) = compose (compose a b) $_123 % 10.46/10.74 |- ifeq (codomain $_1) (domain $_123) % 10.46/10.74 (compose (codomain $_1) (compose (codomain $_1) $_123)) % 10.46/10.74 (compose (codomain $_1) $_123) = compose (codomain $_1) $_123 % 10.46/10.74 |- ifeq (codomain b) (domain $_123) % 10.46/10.74 (compose (compose a b) (compose (codomain b) $_123)) % 10.46/10.74 (compose (compose a b) $_123) = compose (compose a b) $_123 % 10.46/10.74 |- ifeq (codomain a) (domain $_123) % 10.46/10.74 (compose (compose g a) (compose (codomain a) $_123)) % 10.46/10.74 (compose (compose g a) $_123) = compose (compose g a) $_123 % 10.46/10.74 |- ifeq (codomain b) (domain $_123) % 10.46/10.74 (compose (compose g (compose a b)) (compose (codomain b) $_123)) % 10.46/10.74 (compose (compose g (compose a b)) $_123) = % 10.46/10.74 compose (compose g (compose a b)) $_123 % 10.46/10.74 |- ifeq (codomain a) (domain $_123) % 10.46/10.74 (compose (compose h a) (compose (codomain a) $_123)) % 10.46/10.74 (compose (compose h a) $_123) = compose (compose h a) $_123 % 10.46/10.74 |- ifeq (codomain a) (domain $_123) % 10.46/10.74 (compose (domain g) (compose (compose g a) $_123)) % 10.46/10.74 (compose (compose g a) $_123) = compose (compose g a) $_123 % 10.46/10.74 |- ifeq (codomain b) (domain $_123) % 10.46/10.74 (compose (domain g) (compose (compose g (compose a b)) $_123)) % 10.46/10.74 (compose (compose g (compose a b)) $_123) = % 10.46/10.74 compose (compose g (compose a b)) $_123 % 10.46/10.74 |- ifeq (codomain a) (domain $_123) % 10.46/10.74 (compose (domain g) (compose (compose h a) $_123)) % 10.46/10.74 (compose (compose h a) $_123) = compose (compose h a) $_123 % 10.46/10.74 |- ifeq (codomain g) (domain $_123) (compose (domain g) (compose h $_123)) % 10.46/10.74 (compose h $_123) = compose h $_123 % 10.46/10.74 |- ifeq (domain $X) (domain $_123) % 10.46/10.74 (compose (domain $X) (compose (domain $X) $_123)) % 10.46/10.74 (compose (domain $X) $_123) = compose (domain $X) $_123 % 10.46/10.74 |- ifeq (codomain $_122) (domain $_123) % 10.46/10.74 (compose (domain $_122) (compose $_122 $_123)) (compose $_122 $_123) = % 10.46/10.74 compose $_122 $_123 % 10.46/10.74 |- ifeq (codomain g) (domain $_123) % 10.46/10.74 (compose h (compose (codomain g) $_123)) (compose h $_123) = % 10.46/10.74 compose h $_123 % 10.46/10.74 |- ifeq (codomain b) (domain $_123) % 10.46/10.74 (compose h (compose (compose a b) $_123)) % 10.46/10.74 (compose (compose g (compose a b)) $_123) = % 10.46/10.74 compose (compose g (compose a b)) $_123 % 10.46/10.74 |- ifeq (codomain $_121) (domain $_123) % 10.46/10.74 (compose $_121 (compose (codomain $_121) $_123)) % 10.46/10.74 (compose $_121 $_123) = compose $_121 $_123 % 10.46/10.74 |- ifeq (codomain $_122) (codomain (compose $_121 $_122)) % 10.46/10.74 (ifeq (codomain $_121) (domain $_122) % 10.46/10.74 (compose $_121 (compose $_122 (codomain (compose $_121 $_122)))) % 10.46/10.74 (compose $_121 $_122)) (compose $_121 $_122) = compose $_121 $_122 % 10.46/10.74 |- ifeq (codomain $_121) (codomain a) (compose $_121 b) % 10.46/10.74 (compose (compose $_121 (codomain a)) b) = % 10.46/10.74 compose (compose $_121 (codomain a)) b % 10.46/10.74 |- ifeq (codomain $_121) (codomain g) (compose $_121 a) % 10.46/10.74 (compose (compose $_121 (codomain g)) a) = % 10.46/10.74 compose (compose $_121 (codomain g)) a % 10.46/10.74 |- ifeq (codomain $_121) (codomain g) (compose $_121 (compose a b)) % 10.46/10.74 (compose (compose $_121 (codomain g)) (compose a b)) = % 10.46/10.74 compose (compose $_121 (codomain g)) (compose a b) % 10.46/10.74 |- ifeq (codomain $_121) (codomain $_1) (compose $_121 (codomain $_1)) % 10.46/10.74 (compose (compose $_121 (codomain $_1)) (codomain $_1)) = % 10.46/10.74 compose (compose $_121 (codomain $_1)) (codomain $_1) % 10.46/10.74 |- ifeq (codomain $_121) (codomain g) (compose $_121 (compose a b)) % 10.46/10.74 (compose (compose $_121 (compose a b)) (codomain b)) = % 10.46/10.74 compose (compose $_121 (compose a b)) (codomain b) % 10.46/10.74 |- ifeq (codomain $_121) (domain g) (compose $_121 (compose g a)) % 10.46/10.74 (compose (compose $_121 (compose g a)) (codomain a)) = % 10.46/10.74 compose (compose $_121 (compose g a)) (codomain a) % 10.46/10.74 |- ifeq (codomain $_121) (domain g) % 10.46/10.74 (compose $_121 (compose g (compose a b))) % 10.46/10.74 (compose (compose $_121 (compose g (compose a b))) (codomain b)) = % 10.46/10.74 compose (compose $_121 (compose g (compose a b))) (codomain b) % 10.46/10.74 |- ifeq (codomain $_121) (domain g) (compose $_121 (compose h a)) % 10.46/10.74 (compose (compose $_121 (compose h a)) (codomain a)) = % 10.46/10.74 compose (compose $_121 (compose h a)) (codomain a) % 10.46/10.74 |- ifeq (codomain $_121) (domain g) (compose $_121 (compose g a)) % 10.46/10.74 (compose (compose $_121 (domain g)) (compose g a)) = % 10.46/10.74 compose (compose $_121 (domain g)) (compose g a) % 10.46/10.74 |- ifeq (codomain $_121) (domain g) % 10.46/10.74 (compose $_121 (compose g (compose a b))) % 10.46/10.74 (compose (compose $_121 (domain g)) (compose g (compose a b))) = % 10.46/10.74 compose (compose $_121 (domain g)) (compose g (compose a b)) % 10.46/10.74 |- ifeq (codomain $_121) (domain g) (compose $_121 (compose h a)) % 10.46/10.74 (compose (compose $_121 (domain g)) (compose h a)) = % 10.46/10.74 compose (compose $_121 (domain g)) (compose h a) % 10.46/10.74 |- ifeq (codomain $_121) (domain g) (compose $_121 h) % 10.46/10.74 (compose (compose $_121 (domain g)) h) = % 10.46/10.74 compose (compose $_121 (domain g)) h % 10.46/10.74 |- ifeq (codomain $_121) (domain $X) (compose $_121 (domain $X)) % 10.46/10.74 (compose (compose $_121 (domain $X)) (domain $X)) = % 10.46/10.74 compose (compose $_121 (domain $X)) (domain $X) % 10.46/10.74 |- ifeq (codomain $_121) (domain $_123) (compose $_121 $_123) % 10.46/10.74 (compose (compose $_121 (domain $_123)) $_123) = % 10.46/10.74 compose (compose $_121 (domain $_123)) $_123 % 10.46/10.74 |- ifeq (codomain $_121) (domain g) (compose $_121 h) % 10.46/10.74 (compose (compose $_121 h) (codomain g)) = % 10.46/10.74 compose (compose $_121 h) (codomain g) % 10.46/10.74 |- ifeq (codomain $_121) (domain g) % 10.46/10.74 (compose $_121 (compose g (compose a b))) % 10.46/10.74 (compose (compose $_121 h) (compose a b)) = % 10.46/10.74 compose (compose $_121 h) (compose a b) % 10.46/10.74 |- ifeq (codomain $_121) (domain $_122) (compose $_121 $_122) % 10.46/10.74 (compose (compose $_121 $_122) (codomain $_122)) = % 10.46/10.74 compose (compose $_121 $_122) (codomain $_122) % 10.46/10.74 |- ifeq (codomain $_122) (domain $_123) % 10.46/10.74 (ifeq (domain (compose $_122 $_123)) (domain $_122) % 10.46/10.74 (compose $_122 $_123) % 10.46/10.74 (compose (compose (domain (compose $_122 $_123)) $_122) $_123)) % 10.46/10.74 (compose (compose (domain (compose $_122 $_123)) $_122) $_123) = % 10.46/10.74 compose (compose (domain (compose $_122 $_123)) $_122) $_123 % 10.46/10.74 |- compose g (compose a b) = compose (compose h a) b % 10.46/10.74 |- ifeq (codomain a) (domain $_123) % 10.46/10.74 (ifeq (codomain $_121) (codomain g) (compose $_121 (compose a $_123)) % 10.46/10.74 (compose (compose $_121 a) $_123)) % 10.46/10.74 (compose (compose $_121 a) $_123) = compose (compose $_121 a) $_123 % 10.46/10.74 |- ifeq (codomain b) (domain $_123) % 10.46/10.74 (ifeq (codomain $_121) (codomain a) (compose $_121 (compose b $_123)) % 10.46/10.74 (compose (compose $_121 b) $_123)) % 10.46/10.74 (compose (compose $_121 b) $_123) = compose (compose $_121 b) $_123 % 10.46/10.74 |- ifeq (codomain $X) (domain $_123) % 10.46/10.74 (ifeq (codomain $_121) (codomain $X) % 10.46/10.74 (compose $_121 (compose (codomain $X) $_123)) % 10.46/10.74 (compose (compose $_121 (codomain $X)) $_123)) % 10.46/10.74 (compose (compose $_121 (codomain $X)) $_123) = % 10.46/10.74 compose (compose $_121 (codomain $X)) $_123 % 10.46/10.74 |- ifeq (codomain b) (domain $_123) % 10.46/10.74 (ifeq (codomain $_121) (codomain g) % 10.46/10.74 (compose $_121 (compose (compose a b) $_123)) % 10.46/10.74 (compose (compose $_121 (compose a b)) $_123)) % 10.46/10.74 (compose (compose $_121 (compose a b)) $_123) = % 10.46/10.74 compose (compose $_121 (compose a b)) $_123 % 10.46/10.74 |- ifeq (codomain b) (domain $_123) % 10.46/10.74 (ifeq (codomain $_121) (domain g) % 10.46/10.74 (compose $_121 (compose (compose g (compose a b)) $_123)) % 10.46/10.74 (compose (compose $_121 (compose g (compose a b))) $_123)) % 10.46/10.74 (compose (compose $_121 (compose g (compose a b))) $_123) = % 10.46/10.74 compose (compose $_121 (compose g (compose a b))) $_123 % 10.46/10.74 |- ifeq (codomain a) (domain $_123) % 10.46/10.74 (ifeq (codomain $_121) (domain g) % 10.46/10.74 (compose $_121 (compose (compose g a) $_123)) % 10.46/10.74 (compose (compose $_121 (compose g a)) $_123)) % 10.46/10.74 (compose (compose $_121 (compose g a)) $_123) = % 10.46/10.74 compose (compose $_121 (compose g a)) $_123 % 10.46/10.74 |- ifeq (codomain a) (domain $_123) % 10.46/10.74 (ifeq (codomain $_121) (domain g) % 10.46/10.74 (compose $_121 (compose (compose h a) $_123)) % 10.46/10.74 (compose (compose $_121 (compose h a)) $_123)) % 10.46/10.74 (compose (compose $_121 (compose h a)) $_123) = % 10.46/10.74 compose (compose $_121 (compose h a)) $_123 % 10.46/10.74 |- ifeq (domain $X) (domain $_123) % 10.46/10.74 (ifeq (codomain $_121) (domain $X) % 10.46/10.74 (compose $_121 (compose (domain $X) $_123)) % 10.46/10.74 (compose (compose $_121 (domain $X)) $_123)) % 10.46/10.74 (compose (compose $_121 (domain $X)) $_123) = % 10.46/10.74 compose (compose $_121 (domain $X)) $_123 % 10.46/10.74 |- ifeq (codomain g) (domain $_123) % 10.46/10.74 (ifeq (codomain $_121) (domain g) (compose $_121 (compose h $_123)) % 10.46/10.74 (compose (compose $_121 h) $_123)) % 10.46/10.74 (compose (compose $_121 h) $_123) = compose (compose $_121 h) $_123 % 10.46/10.74 |- ifeq (codomain $_122) (domain $_123) % 10.46/10.74 (ifeq (codomain $_1) (domain $_122) % 10.46/10.74 (compose (codomain $_1) (compose $_122 $_123)) % 10.46/10.74 (compose (compose (codomain $_1) $_122) $_123)) % 10.46/10.74 (compose (compose (codomain $_1) $_122) $_123) = % 10.46/10.74 compose (compose (codomain $_1) $_122) $_123 % 10.46/10.74 |- ifeq (codomain $_122) (domain $_123) % 10.46/10.74 (ifeq (codomain b) (domain $_122) % 10.46/10.74 (compose (compose a b) (compose $_122 $_123)) % 10.46/10.74 (compose (compose (compose a b) $_122) $_123)) % 10.46/10.74 (compose (compose (compose a b) $_122) $_123) = % 10.46/10.74 compose (compose (compose a b) $_122) $_123 % 10.46/10.74 |- ifeq (codomain $_122) (domain $_123) % 10.46/10.74 (ifeq (codomain b) (domain $_122) % 10.46/10.74 (compose (compose g (compose a b)) (compose $_122 $_123)) % 10.46/10.74 (compose (compose (compose g (compose a b)) $_122) $_123)) % 10.46/10.74 (compose (compose (compose g (compose a b)) $_122) $_123) = % 10.46/10.74 compose (compose (compose g (compose a b)) $_122) $_123 % 10.46/10.74 |- ifeq (codomain $_122) (domain $_123) % 10.46/10.74 (ifeq (codomain a) (domain $_122) % 10.46/10.74 (compose (compose g a) (compose $_122 $_123)) % 10.46/10.74 (compose (compose (compose g a) $_122) $_123)) % 10.46/10.74 (compose (compose (compose g a) $_122) $_123) = % 10.46/10.74 compose (compose (compose g a) $_122) $_123 % 10.46/10.74 |- ifeq (codomain $_122) (domain $_123) % 10.46/10.74 (ifeq (codomain a) (domain $_122) % 10.46/10.74 (compose (compose h a) (compose $_122 $_123)) % 10.46/10.74 (compose (compose (compose h a) $_122) $_123)) % 10.46/10.74 (compose (compose (compose h a) $_122) $_123) = % 10.46/10.74 compose (compose (compose h a) $_122) $_123 % 10.46/10.74 |- ifeq (codomain $_122) (domain $_123) % 10.46/10.74 (ifeq (domain $X) (domain $_122) % 10.46/10.74 (compose (domain $X) (compose $_122 $_123)) % 10.46/10.74 (compose (compose (domain $X) $_122) $_123)) % 10.46/10.74 (compose (compose (domain $X) $_122) $_123) = % 10.46/10.74 compose (compose (domain $X) $_122) $_123 % 10.46/10.74 |- ifeq (codomain $_122) (domain $_123) % 10.46/10.74 (ifeq (codomain g) (domain $_122) (compose h (compose $_122 $_123)) % 10.46/10.74 (compose (compose h $_122) $_123)) % 10.46/10.74 (compose (compose h $_122) $_123) = compose (compose h $_122) $_123 % 10.46/10.74 |- ifeq (codomain $_122) (codomain g) % 10.46/10.74 (ifeq (codomain $_121) (domain $_122) % 10.46/10.74 (compose $_121 (compose $_122 a)) % 10.46/10.74 (compose (compose $_121 $_122) a)) % 10.46/10.74 (compose (compose $_121 $_122) a) = compose (compose $_121 $_122) a % 10.46/10.74 |- ifeq (codomain $_122) (codomain a) % 10.46/10.74 (ifeq (codomain $_121) (domain $_122) % 10.46/10.74 (compose $_121 (compose $_122 b)) % 10.46/10.74 (compose (compose $_121 $_122) b)) % 10.46/10.74 (compose (compose $_121 $_122) b) = compose (compose $_121 $_122) b % 10.46/10.74 |- ifeq (codomain $_122) (codomain $X) % 10.46/10.74 (ifeq (codomain $_121) (domain $_122) % 10.46/10.74 (compose $_121 (compose $_122 (codomain $X))) % 10.46/10.74 (compose (compose $_121 $_122) (codomain $X))) % 10.46/10.74 (compose (compose $_121 $_122) (codomain $X)) = % 10.46/10.74 compose (compose $_121 $_122) (codomain $X) % 10.46/10.74 |- ifeq (codomain $_122) (codomain g) % 10.46/10.74 (ifeq (codomain $_121) (domain $_122) % 10.46/10.74 (compose $_121 (compose $_122 (compose a b))) % 10.46/10.74 (compose (compose $_121 $_122) (compose a b))) % 10.46/10.74 (compose (compose $_121 $_122) (compose a b)) = % 10.46/10.74 compose (compose $_121 $_122) (compose a b) % 10.46/10.74 |- ifeq (codomain $_122) (domain g) % 10.46/10.74 (ifeq (codomain $_121) (domain $_122) % 10.46/10.74 (compose $_121 (compose $_122 (compose g (compose a b)))) % 10.46/10.74 (compose (compose $_121 $_122) (compose g (compose a b)))) % 10.46/10.74 (compose (compose $_121 $_122) (compose g (compose a b))) = % 10.46/10.74 compose (compose $_121 $_122) (compose g (compose a b)) % 10.46/10.74 |- ifeq (codomain $_122) (domain g) % 10.46/10.74 (ifeq (codomain $_121) (domain $_122) % 10.46/10.74 (compose $_121 (compose $_122 (compose g a))) % 10.46/10.74 (compose (compose $_121 $_122) (compose g a))) % 10.46/10.74 (compose (compose $_121 $_122) (compose g a)) = % 10.46/10.74 compose (compose $_121 $_122) (compose g a) % 10.46/10.74 |- ifeq (codomain $_122) (domain g) % 10.46/10.74 (ifeq (codomain $_121) (domain $_122) % 10.46/10.74 (compose $_121 (compose $_122 (compose h a))) % 10.46/10.74 (compose (compose $_121 $_122) (compose h a))) % 10.46/10.74 (compose (compose $_121 $_122) (compose h a)) = % 10.46/10.74 compose (compose $_121 $_122) (compose h a) % 10.46/10.74 |- ifeq (codomain $_122) (domain $X) % 10.46/10.74 (ifeq (codomain $_121) (domain $_122) % 10.46/10.74 (compose $_121 (compose $_122 (domain $X))) % 10.46/10.74 (compose (compose $_121 $_122) (domain $X))) % 10.46/10.74 (compose (compose $_121 $_122) (domain $X)) = % 10.46/10.74 compose (compose $_121 $_122) (domain $X) % 10.46/10.74 |- ifeq (codomain $_122) (domain g) % 10.46/10.74 (ifeq (codomain $_121) (domain $_122) % 10.46/10.74 (compose $_121 (compose $_122 h)) % 10.46/10.74 (compose (compose $_121 $_122) h)) % 10.46/10.74 (compose (compose $_121 $_122) h) = compose (compose $_121 $_122) h % 10.46/10.74 |- ifeq (codomain $X) (domain g) (compose $X (compose g (compose a b))) % 10.46/10.74 (compose (compose $X (compose h a)) b) = % 10.46/10.74 compose (compose $X (compose h a)) b % 10.46/10.74 |- ifeq (codomain b) (domain $Z) (compose (compose h a) (compose b $Z)) % 10.46/10.74 (compose (compose g (compose a b)) $Z) = % 10.46/10.74 compose (compose g (compose a b)) $Z % 10.46/10.74 |- ifeq (codomain b) (codomain g) (compose (codomain a) (compose b a)) % 10.46/10.74 (compose b a) = compose b a % 10.46/10.74 |- ifeq (codomain b) (codomain a) (compose (codomain a) (compose b b)) % 10.46/10.74 (compose b b) = compose b b % 10.46/10.74 |- ifeq (codomain b) (codomain $X) % 10.46/10.74 (compose (codomain a) (compose b (codomain $X))) % 10.46/10.74 (compose b (codomain $X)) = compose b (codomain $X) % 10.46/10.74 |- ifeq (codomain b) (codomain g) % 10.46/10.74 (compose (codomain a) (compose b (compose a b))) % 10.46/10.74 (compose b (compose a b)) = compose b (compose a b) % 10.46/10.74 |- ifeq (codomain b) (domain g) % 10.46/10.74 (compose (codomain a) (compose b (compose g a))) % 10.46/10.74 (compose b (compose g a)) = compose b (compose g a) % 10.46/10.74 |- ifeq (codomain b) (domain g) % 10.46/10.74 (compose (codomain a) (compose b (compose g (compose a b)))) % 10.46/10.74 (compose b (compose g (compose a b))) = % 10.46/10.74 compose b (compose g (compose a b)) % 10.46/10.74 |- ifeq (codomain b) (domain g) % 10.46/10.74 (compose (codomain a) (compose b (compose h a))) % 10.46/10.74 (compose b (compose h a)) = compose b (compose h a) % 10.46/10.75 |- ifeq (codomain b) (domain $X) % 10.46/10.75 (compose (codomain a) (compose b (domain $X))) % 10.46/10.75 (compose b (domain $X)) = compose b (domain $X) % 10.46/10.75 |- ifeq (codomain b) (domain g) (compose (codomain a) (compose b h)) % 10.46/10.75 (compose b h) = compose b h % 10.46/10.75 |- ifeq (codomain g) (codomain a) (compose h (compose (codomain g) b)) % 10.46/10.75 (compose h b) = compose h b % 10.46/10.75 |- ifeq (codomain g) (codomain $X) % 10.46/10.75 (compose h (compose (codomain g) (codomain $X))) % 10.46/10.75 (compose h (codomain $X)) = compose h (codomain $X) % 10.46/10.75 |- ifeq (codomain g) (domain g) % 10.46/10.75 (compose h (compose (codomain g) (compose g a))) % 10.46/10.75 (compose h (compose g a)) = compose h (compose g a) % 10.46/10.75 |- ifeq (codomain g) (domain g) % 10.46/10.75 (compose h (compose (codomain g) (compose g (compose a b)))) % 10.46/10.75 (compose h (compose g (compose a b))) = % 10.46/10.75 compose h (compose g (compose a b)) % 10.46/10.75 |- ifeq (codomain g) (domain g) % 10.46/10.75 (compose h (compose (codomain g) (compose h a))) % 10.46/10.75 (compose h (compose h a)) = compose h (compose h a) % 10.46/10.75 |- ifeq (codomain g) (domain $X) % 10.46/10.75 (compose h (compose (codomain g) (domain $X))) % 10.46/10.75 (compose h (domain $X)) = compose h (domain $X) % 10.46/10.75 |- ifeq (codomain g) (domain g) (compose h (compose (codomain g) h)) % 10.46/10.75 (compose h h) = compose h h % 10.46/10.75 |- ifeq (codomain a) (codomain g) (compose (codomain g) (compose a a)) % 10.46/10.75 (compose a a) = compose a a % 10.46/10.75 |- ifeq (codomain a) (codomain $X) % 10.46/10.75 (compose (codomain g) (compose a (codomain $X))) % 10.46/10.75 (compose a (codomain $X)) = compose a (codomain $X) % 10.46/10.75 |- ifeq (codomain a) (codomain g) % 10.46/10.75 (compose (codomain g) (compose a (compose a b))) % 10.46/10.75 (compose a (compose a b)) = compose a (compose a b) % 10.46/10.75 |- ifeq (codomain a) (domain g) % 10.46/10.75 (compose (codomain g) (compose a (compose g a))) % 10.46/10.75 (compose a (compose g a)) = compose a (compose g a) % 10.46/10.75 |- ifeq (codomain a) (domain g) % 10.46/10.75 (compose (codomain g) (compose a (compose g (compose a b)))) % 10.46/10.75 (compose a (compose g (compose a b))) = % 10.46/10.75 compose a (compose g (compose a b)) % 10.46/10.75 |- ifeq (codomain a) (domain g) % 10.46/10.75 (compose (codomain g) (compose a (compose h a))) % 10.46/10.75 (compose a (compose h a)) = compose a (compose h a) % 10.46/10.75 |- ifeq (codomain a) (domain $X) % 10.46/10.75 (compose (codomain g) (compose a (domain $X))) % 10.46/10.75 (compose a (domain $X)) = compose a (domain $X) % 10.46/10.75 |- ifeq (codomain a) (domain g) (compose (codomain g) (compose a h)) % 10.46/10.75 (compose a h) = compose a h % 10.46/10.75 |- ifeq (codomain $_1) (domain g) (compose (codomain $_1) h) % 10.46/10.75 (compose (compose (codomain $_1) (domain g)) h) = % 10.46/10.75 compose (compose (codomain $_1) (domain g)) h % 10.46/10.75 |- ifeq (codomain b) (domain g) (compose (compose a b) h) % 10.46/10.75 (compose (compose (compose a b) (domain g)) h) = % 10.46/10.75 compose (compose (compose a b) (domain g)) h % 10.46/10.75 |- ifeq (codomain a) (domain g) (compose (compose g a) h) % 10.46/10.75 (compose (compose (compose g a) (domain g)) h) = % 10.46/10.75 compose (compose (compose g a) (domain g)) h % 10.46/10.75 |- ifeq (codomain b) (domain g) (compose (compose g (compose a b)) h) % 10.46/10.75 (compose (compose (compose g (compose a b)) (domain g)) h) = % 10.46/10.75 compose (compose (compose g (compose a b)) (domain g)) h % 10.46/10.75 |- ifeq (codomain a) (domain g) (compose (compose h a) h) % 10.46/10.75 (compose (compose (compose h a) (domain g)) h) = % 10.46/10.75 compose (compose (compose h a) (domain g)) h % 10.46/10.75 |- ifeq (domain $X) (domain g) (compose (domain $X) h) % 10.46/10.75 (compose (compose (domain $X) (domain g)) h) = % 10.46/10.75 compose (compose (domain $X) (domain g)) h % 10.46/10.75 |- ifeq (codomain g) (domain g) (compose h h) % 10.46/10.75 (compose (compose h (domain g)) h) = compose (compose h (domain g)) h % 10.46/10.75 |- ifeq (codomain $_1) (domain g) (compose (codomain $_1) h) % 10.46/10.75 (compose (compose (codomain $_1) h) (codomain g)) = % 10.46/10.75 compose (compose (codomain $_1) h) (codomain g) % 10.46/10.75 |- ifeq (codomain b) (domain g) (compose (compose a b) h) % 10.46/10.75 (compose (compose (compose a b) h) (codomain g)) = % 10.46/10.75 compose (compose (compose a b) h) (codomain g) % 10.46/10.75 |- ifeq (codomain a) (domain g) (compose (compose g a) h) % 10.46/10.75 (compose (compose (compose g a) h) (codomain g)) = % 10.46/10.75 compose (compose (compose g a) h) (codomain g) % 10.46/10.75 |- ifeq (codomain b) (domain g) (compose (compose g (compose a b)) h) % 10.46/10.75 (compose (compose (compose g (compose a b)) h) (codomain g)) = % 10.46/10.75 compose (compose (compose g (compose a b)) h) (codomain g) % 10.46/10.75 |- ifeq (codomain a) (domain g) (compose (compose h a) h) % 10.46/10.75 (compose (compose (compose h a) h) (codomain g)) = % 10.46/10.75 compose (compose (compose h a) h) (codomain g) % 10.46/10.75 |- ifeq (domain $X) (domain g) (compose (domain $X) h) % 10.46/10.75 (compose (compose (domain $X) h) (codomain g)) = % 10.46/10.75 compose (compose (domain $X) h) (codomain g) % 10.46/10.75 |- ifeq (codomain g) (domain g) (compose h h) % 10.46/10.75 (compose (compose h h) (codomain g)) = % 10.46/10.75 compose (compose h h) (codomain g) % 10.46/10.75 |- ifeq (codomain b) (codomain g) % 10.46/10.75 (compose (codomain g) (compose (compose a b) a)) % 10.46/10.75 (compose (compose a b) a) = compose (compose a b) a % 10.46/10.75 |- ifeq (codomain b) (codomain a) % 10.46/10.75 (compose (codomain g) (compose (compose a b) b)) % 10.46/10.75 (compose (compose a b) b) = compose (compose a b) b % 10.46/10.75 |- ifeq (codomain b) (codomain $X) % 10.46/10.75 (compose (codomain g) (compose (compose a b) (codomain $X))) % 10.46/10.75 (compose (compose a b) (codomain $X)) = % 10.46/10.75 compose (compose a b) (codomain $X) % 10.46/10.75 |- ifeq (codomain b) (codomain g) % 10.46/10.75 (compose (codomain g) (compose (compose a b) (compose a b))) % 10.46/10.75 (compose (compose a b) (compose a b)) = % 10.46/10.75 compose (compose a b) (compose a b) % 10.46/10.75 |- ifeq (codomain b) (domain g) % 10.46/10.75 (compose (codomain g) (compose (compose a b) (compose g a))) % 10.46/10.75 (compose (compose a b) (compose g a)) = % 10.46/10.75 compose (compose a b) (compose g a) % 10.46/10.75 |- ifeq (codomain b) (domain g) % 10.46/10.75 (compose (codomain g) % 10.46/10.75 (compose (compose a b) (compose g (compose a b)))) % 10.46/10.75 (compose (compose a b) (compose g (compose a b))) = % 10.46/10.75 compose (compose a b) (compose g (compose a b)) % 10.46/10.75 |- ifeq (codomain b) (domain g) % 10.46/10.75 (compose (codomain g) (compose (compose a b) (compose h a))) % 10.46/10.75 (compose (compose a b) (compose h a)) = % 10.46/10.75 compose (compose a b) (compose h a) % 10.46/10.75 |- ifeq (codomain b) (domain $X) % 10.46/10.75 (compose (codomain g) (compose (compose a b) (domain $X))) % 10.46/10.75 (compose (compose a b) (domain $X)) = % 10.46/10.75 compose (compose a b) (domain $X) % 10.46/10.75 |- ifeq (codomain b) (domain g) % 10.46/10.75 (compose (codomain g) (compose (compose a b) h)) % 10.46/10.75 (compose (compose a b) h) = compose (compose a b) h % 10.46/10.75 |- ifeq (codomain a) (codomain g) % 10.46/10.75 (compose (domain g) (compose (compose g a) a)) % 10.46/10.75 (compose (compose g a) a) = compose (compose g a) a % 10.46/10.75 |- ifeq (codomain a) (codomain $X) % 10.46/10.75 (compose (domain g) (compose (compose g a) (codomain $X))) % 10.46/10.75 (compose (compose g a) (codomain $X)) = % 10.46/10.75 compose (compose g a) (codomain $X) % 10.46/10.75 |- ifeq (codomain a) (codomain g) % 10.46/10.75 (compose (domain g) (compose (compose g a) (compose a b))) % 10.46/10.75 (compose (compose g a) (compose a b)) = % 10.46/10.75 compose (compose g a) (compose a b) % 10.46/10.75 |- ifeq (codomain a) (domain g) % 10.46/10.75 (compose (domain g) (compose (compose g a) (compose g a))) % 10.46/10.75 (compose (compose g a) (compose g a)) = % 10.46/10.75 compose (compose g a) (compose g a) % 10.46/10.75 |- ifeq (codomain a) (domain g) % 10.46/10.75 (compose (domain g) (compose (compose g a) (compose g (compose a b)))) % 10.46/10.75 (compose (compose g a) (compose g (compose a b))) = % 10.46/10.75 compose (compose g a) (compose g (compose a b)) % 10.46/10.75 |- ifeq (codomain a) (domain g) % 10.46/10.75 (compose (domain g) (compose (compose g a) (compose h a))) % 10.46/10.75 (compose (compose g a) (compose h a)) = % 10.46/10.75 compose (compose g a) (compose h a) % 10.46/10.75 |- ifeq (codomain a) (domain $X) % 10.46/10.75 (compose (domain g) (compose (compose g a) (domain $X))) % 10.46/10.75 (compose (compose g a) (domain $X)) = % 10.46/10.75 compose (compose g a) (domain $X) % 10.46/10.75 |- ifeq (codomain a) (domain g) % 10.46/10.75 (compose (domain g) (compose (compose g a) h)) % 10.46/10.75 (compose (compose g a) h) = compose (compose g a) h % 10.46/10.75 |- ifeq (codomain a) (domain g) % 10.46/10.75 (domain (compose (compose g a) (compose h a))) (domain g) = domain g % 10.46/10.75 |- ifeq (codomain a) (domain g) % 10.46/10.75 (domain (compose (compose h a) (compose h a))) (domain g) = domain g % 10.46/10.75 |- ifeq (codomain g) (codomain a) (compose (domain g) (compose h b)) % 10.46/10.75 (compose h b) = compose h b % 10.46/10.75 |- ifeq (codomain g) (codomain $X) % 10.46/10.75 (compose (domain g) (compose h (codomain $X))) % 10.46/10.75 (compose h (codomain $X)) = compose h (codomain $X) % 10.46/10.75 |- ifeq (codomain g) (domain g) % 10.46/10.75 (compose (domain g) (compose h (compose g a))) % 10.46/10.75 (compose h (compose g a)) = compose h (compose g a) % 10.46/10.75 |- ifeq (codomain g) (domain g) % 10.46/10.75 (compose (domain g) (compose h (compose g (compose a b)))) % 10.46/10.75 (compose h (compose g (compose a b))) = % 10.46/10.75 compose h (compose g (compose a b)) % 10.46/10.75 |- ifeq (codomain g) (domain g) % 10.46/10.75 (compose (domain g) (compose h (compose h a))) % 10.46/10.75 (compose h (compose h a)) = compose h (compose h a) % 10.46/10.75 |- ifeq (codomain g) (domain $X) % 10.46/10.75 (compose (domain g) (compose h (domain $X))) (compose h (domain $X)) = % 10.46/10.75 compose h (domain $X) % 10.46/10.75 |- ifeq (codomain g) (domain g) (compose (domain g) (compose h h)) % 10.46/10.75 (compose h h) = compose h h % 10.46/10.75 |- ifeq (codomain b) (domain g) % 10.46/10.75 (codomain (compose (compose a b) (compose g (compose a b)))) % 10.46/10.75 (codomain b) = codomain b % 10.46/10.75 |- ifeq (codomain a) (domain g) % 10.46/10.75 (codomain (compose (compose g a) (compose g (compose a b)))) % 10.46/10.75 (codomain b) = codomain b % 10.46/10.75 |- a = ifeq (compose a a) $_136 (ifeq a $_136 (codomain g) a) a % 10.46/10.75 |- ifeq (codomain $_137) (codomain a) % 10.46/10.75 (ifeq (compose $_137 a) a (codomain g) $_137) $_137 = $_137 % 10.46/10.75 |- ifeq (codomain g) (codomain a) % 10.46/10.75 (ifeq a $_136 (ifeq a $_136 (codomain g) (codomain g)) (codomain g)) % 10.46/10.75 (codomain g) = codomain g % 10.46/10.75 |- ifeq (codomain $_137) (codomain a) % 10.46/10.75 (ifeq a (compose $_137 a) (codomain g) $_137) $_137 = $_137 % 10.46/10.75 |- ifeq (codomain $_1) (codomain a) % 10.46/10.75 (ifeq (compose (codomain $_1) a) $_136 % 10.46/10.75 (ifeq a $_136 (codomain g) (codomain $_1)) (codomain $_1)) % 10.46/10.75 (codomain $_1) = codomain $_1 % 10.46/10.75 |- ifeq (codomain b) (codomain a) % 10.46/10.75 (ifeq (compose (compose a b) a) $_136 % 10.46/10.75 (ifeq a $_136 (codomain g) (compose a b)) (compose a b)) % 10.46/10.75 (compose a b) = compose a b % 10.46/10.75 |- ifeq (compose (compose g a) a) $_136 % 10.46/10.75 (ifeq a $_136 (codomain g) (compose g a)) (compose g a) = compose g a % 10.46/10.75 |- ifeq (codomain b) (codomain a) % 10.46/10.75 (ifeq (compose (compose g (compose a b)) a) $_136 % 10.46/10.75 (ifeq a $_136 (codomain g) (compose g (compose a b))) % 10.46/10.75 (compose g (compose a b))) (compose g (compose a b)) = % 10.46/10.75 compose g (compose a b) % 10.46/10.75 |- ifeq (compose (compose h a) a) $_136 % 10.46/10.75 (ifeq a $_136 (codomain g) (compose h a)) (compose h a) = compose h a % 10.46/10.75 |- ifeq (domain $X) (codomain a) % 10.46/10.75 (ifeq (compose (domain $X) a) $_136 % 10.46/10.75 (ifeq a $_136 (codomain g) (domain $X)) (domain $X)) (domain $X) = % 10.46/10.75 domain $X % 10.46/10.75 |- ifeq (codomain g) (codomain a) % 10.46/10.75 (ifeq (compose h a) $_136 (ifeq a $_136 (codomain g) h) h) h = h % 10.46/10.75 |- a = ifeq a (compose a a) (codomain g) a % 10.46/10.75 |- a = ifeq (compose a a) a (codomain g) a % 10.46/10.75 |- ifeq (codomain g) (codomain a) (codomain g) (codomain g) = codomain g % 10.46/10.75 |- ifeq (codomain $_1) (codomain a) % 10.46/10.75 (ifeq (compose (codomain $_1) a) a (codomain g) (codomain $_1)) % 10.46/10.75 (codomain $_1) = codomain $_1 % 10.46/10.75 |- ifeq (codomain b) (codomain a) % 10.46/10.75 (ifeq (compose (compose a b) a) a (codomain g) (compose a b)) % 10.46/10.75 (compose a b) = compose a b % 10.46/10.75 |- ifeq (compose (compose g a) a) a (codomain g) (compose g a) = % 10.46/10.75 compose g a % 10.46/10.75 |- ifeq (codomain b) (codomain a) % 10.46/10.75 (ifeq (compose (compose g (compose a b)) a) a (codomain g) % 10.46/10.75 (compose g (compose a b))) (compose g (compose a b)) = % 10.46/10.75 compose g (compose a b) % 10.46/10.75 |- ifeq (compose (compose h a) a) a (codomain g) (compose h a) = % 10.46/10.75 compose h a % 10.46/10.75 |- ifeq (domain $X) (codomain a) % 10.46/10.75 (ifeq (compose (domain $X) a) a (codomain g) (domain $X)) % 10.46/10.75 (domain $X) = domain $X % 10.46/10.75 |- ifeq (codomain g) (codomain a) (ifeq (compose h a) a (codomain g) h) h = % 10.46/10.75 h % 10.46/10.75 |- ifeq (codomain $_1) (codomain a) % 10.46/10.75 (ifeq a (compose (codomain $_1) a) (codomain g) (codomain $_1)) % 10.46/10.75 (codomain $_1) = codomain $_1 % 10.46/10.75 |- ifeq (codomain b) (codomain a) % 10.46/10.75 (ifeq a (compose (compose a b) a) (codomain g) (compose a b)) % 10.46/10.75 (compose a b) = compose a b % 10.46/10.75 |- ifeq a (compose (compose g a) a) (codomain g) (compose g a) = % 10.46/10.75 compose g a % 10.46/10.75 |- ifeq (codomain b) (codomain a) % 10.46/10.75 (ifeq a (compose (compose g (compose a b)) a) (codomain g) % 10.46/10.75 (compose g (compose a b))) (compose g (compose a b)) = % 10.46/10.75 compose g (compose a b) % 10.46/10.75 |- ifeq a (compose (compose h a) a) (codomain g) (compose h a) = % 10.46/10.75 compose h a % 10.46/10.76 |- ifeq (domain $X) (codomain a) % 10.46/10.76 (ifeq a (compose (domain $X) a) (codomain g) (domain $X)) % 10.46/10.76 (domain $X) = domain $X % 10.46/10.76 |- ifeq (codomain g) (codomain a) (ifeq a (compose h a) (codomain g) h) h = % 10.46/10.76 h % 10.46/10.76 |- ifeq (codomain b) (domain g) % 10.46/10.76 (codomain (compose (compose a b) (compose g a))) (codomain a) = % 10.46/10.76 codomain a % 10.46/10.76 |- ifeq (codomain $_1) (codomain a) (compose (codomain $_1) b) % 10.46/10.76 (compose (compose (codomain $_1) (codomain a)) b) = % 10.46/10.76 compose (compose (codomain $_1) (codomain a)) b % 10.46/10.76 |- ifeq (codomain b) (codomain a) (compose (compose a b) b) % 10.46/10.76 (compose (compose (compose a b) (codomain a)) b) = % 10.46/10.76 compose (compose (compose a b) (codomain a)) b % 10.46/10.76 |- ifeq (codomain b) (codomain a) (compose (compose g (compose a b)) b) % 10.46/10.76 (compose (compose (compose g (compose a b)) (codomain a)) b) = % 10.46/10.76 compose (compose (compose g (compose a b)) (codomain a)) b % 10.46/10.76 |- ifeq (domain $X) (codomain a) (compose (domain $X) b) % 10.46/10.76 (compose (compose (domain $X) (codomain a)) b) = % 10.46/10.76 compose (compose (domain $X) (codomain a)) b % 10.46/10.76 |- ifeq (codomain g) (codomain a) (compose h b) % 10.46/10.76 (compose (compose h (codomain a)) b) = % 10.46/10.76 compose (compose h (codomain a)) b % 10.46/10.76 |- ifeq (codomain a) (domain g) % 10.46/10.76 (domain (compose (compose h a) (compose g a))) (domain g) = domain g % 10.46/10.76 |- a = ifeq (compose a a) $_153 (ifeq (compose g a) $_153 g a) a % 10.46/10.76 |- $_152 = % 10.46/10.76 ifeq (codomain $_152) (codomain a) % 10.46/10.76 (ifeq (compose $_152 a) (compose g a) g $_152) $_152 % 10.46/10.76 |- codomain g = % 10.46/10.76 ifeq (codomain g) (codomain a) % 10.46/10.76 (ifeq a $_153 (ifeq (compose g a) $_153 g (codomain g)) (codomain g)) % 10.46/10.76 (codomain g) % 10.46/10.76 |- $_152 = % 10.46/10.76 ifeq (codomain $_152) (codomain a) % 10.46/10.76 (ifeq (compose g a) (compose $_152 a) g $_152) $_152 % 10.46/10.76 |- codomain $_1 = % 10.46/10.76 ifeq (codomain $_1) (codomain a) % 10.46/10.76 (ifeq (compose (codomain $_1) a) $_153 % 10.46/10.76 (ifeq (compose g a) $_153 g (codomain $_1)) (codomain $_1)) % 10.46/10.76 (codomain $_1) % 10.46/10.76 |- compose a b = % 10.46/10.76 ifeq (codomain b) (codomain a) % 10.46/10.76 (ifeq (compose (compose a b) a) $_153 % 10.46/10.76 (ifeq (compose g a) $_153 g (compose a b)) (compose a b)) % 10.46/10.76 (compose a b) % 10.46/10.76 |- compose g a = % 10.46/10.76 ifeq (compose (compose g a) a) $_153 % 10.46/10.76 (ifeq (compose g a) $_153 g (compose g a)) (compose g a) % 10.46/10.76 |- compose g (compose a b) = % 10.46/10.76 ifeq (codomain b) (codomain a) % 10.46/10.76 (ifeq (compose (compose g (compose a b)) a) $_153 % 10.46/10.76 (ifeq (compose g a) $_153 g (compose g (compose a b))) % 10.46/10.76 (compose g (compose a b))) (compose g (compose a b)) % 10.46/10.76 |- compose h a = % 10.46/10.76 ifeq (compose (compose h a) a) $_153 % 10.46/10.76 (ifeq (compose g a) $_153 g (compose h a)) (compose h a) % 10.46/10.76 |- domain $X = % 10.46/10.76 ifeq (domain $X) (codomain a) % 10.46/10.76 (ifeq (compose (domain $X) a) $_153 % 10.46/10.76 (ifeq (compose g a) $_153 g (domain $X)) (domain $X)) (domain $X) % 10.46/10.76 |- h = % 10.46/10.76 ifeq (codomain g) (codomain a) % 10.46/10.76 (ifeq (compose h a) $_153 (ifeq (compose g a) $_153 g h) h) h % 10.46/10.76 |- a = ifeq (compose g a) (compose a a) g a % 10.46/10.76 |- a = ifeq (compose a a) (compose g a) g a % 10.46/10.76 |- codomain g = % 10.46/10.76 ifeq (codomain g) (codomain a) (ifeq a (compose g a) g (codomain g)) % 10.46/10.76 (codomain g) % 10.46/10.76 |- g = ifeq (codomain g) (codomain a) g g % 10.46/10.76 |- codomain $_1 = % 10.46/10.76 ifeq (codomain $_1) (codomain a) % 10.46/10.76 (ifeq (compose (codomain $_1) a) (compose g a) g (codomain $_1)) % 10.46/10.76 (codomain $_1) % 10.46/10.76 |- compose a b = % 10.46/10.76 ifeq (codomain b) (codomain a) % 10.46/10.76 (ifeq (compose (compose a b) a) (compose g a) g (compose a b)) % 10.46/10.76 (compose a b) % 10.46/10.76 |- compose g a = % 10.46/10.76 ifeq (compose (compose g a) a) (compose g a) g (compose g a) % 10.46/10.76 |- compose g (compose a b) = % 10.46/10.76 ifeq (codomain b) (codomain a) % 10.46/10.76 (ifeq (compose (compose g (compose a b)) a) (compose g a) g % 10.46/10.76 (compose g (compose a b))) (compose g (compose a b)) % 10.46/10.76 |- compose h a = % 10.46/10.76 ifeq (compose (compose h a) a) (compose g a) g (compose h a) % 10.46/10.76 |- domain $X = % 10.46/10.76 ifeq (domain $X) (codomain a) % 10.46/10.76 (ifeq (compose (domain $X) a) (compose g a) g (domain $X)) (domain $X) % 10.46/10.76 |- h = % 10.46/10.76 ifeq (codomain g) (codomain a) (ifeq (compose h a) (compose g a) g h) h % 10.46/10.76 |- codomain g = % 10.46/10.76 ifeq (codomain g) (codomain a) (ifeq (compose g a) a g (codomain g)) % 10.46/10.76 (codomain g) % 10.46/10.76 |- codomain $_1 = % 10.46/10.76 ifeq (codomain $_1) (codomain a) % 10.46/10.76 (ifeq (compose g a) (compose (codomain $_1) a) g (codomain $_1)) % 10.46/10.76 (codomain $_1) % 10.46/10.76 |- compose a b = % 10.46/10.76 ifeq (codomain b) (codomain a) % 10.46/10.76 (ifeq (compose g a) (compose (compose a b) a) g (compose a b)) % 10.46/10.76 (compose a b) % 10.46/10.76 |- compose g a = % 10.46/10.76 ifeq (compose g a) (compose (compose g a) a) g (compose g a) % 10.46/10.76 |- compose g (compose a b) = % 10.46/10.76 ifeq (codomain b) (codomain a) % 10.46/10.76 (ifeq (compose g a) (compose (compose g (compose a b)) a) g % 10.46/10.76 (compose g (compose a b))) (compose g (compose a b)) % 10.46/10.76 |- compose h a = % 10.46/10.76 ifeq (compose g a) (compose (compose h a) a) g (compose h a) % 10.46/10.76 |- domain $X = % 10.46/10.76 ifeq (domain $X) (codomain a) % 10.46/10.76 (ifeq (compose g a) (compose (domain $X) a) g (domain $X)) (domain $X) % 10.46/10.76 |- h = % 10.46/10.76 ifeq (codomain g) (codomain a) (ifeq (compose g a) (compose h a) g h) h % 10.46/10.76 |- a = ifeq (compose a a) $_157 (ifeq (compose h a) $_157 h a) a % 10.46/10.76 |- ifeq (codomain $_158) (codomain a) % 10.46/10.76 (ifeq (compose $_158 a) (compose h a) h $_158) $_158 = $_158 % 10.46/10.76 |- ifeq (codomain g) (codomain a) % 10.46/10.76 (ifeq a $_157 (ifeq (compose h a) $_157 h (codomain g)) (codomain g)) % 10.46/10.76 (codomain g) = codomain g % 10.46/10.76 |- ifeq (codomain $_158) (codomain a) % 10.46/10.76 (ifeq (compose h a) (compose $_158 a) h $_158) $_158 = $_158 % 10.46/10.76 |- ifeq (codomain $_1) (codomain a) % 10.46/10.76 (ifeq (compose (codomain $_1) a) $_157 % 10.46/10.76 (ifeq (compose h a) $_157 h (codomain $_1)) (codomain $_1)) % 10.46/10.76 (codomain $_1) = codomain $_1 % 10.46/10.76 |- ifeq (codomain b) (codomain a) % 10.46/10.76 (ifeq (compose (compose a b) a) $_157 % 10.46/10.76 (ifeq (compose h a) $_157 h (compose a b)) (compose a b)) % 10.46/10.76 (compose a b) = compose a b % 10.46/10.76 |- ifeq (compose (compose g a) a) $_157 % 10.46/10.76 (ifeq (compose h a) $_157 h (compose g a)) (compose g a) = compose g a % 10.46/10.76 |- ifeq (codomain b) (codomain a) % 10.46/10.76 (ifeq (compose (compose g (compose a b)) a) $_157 % 10.46/10.76 (ifeq (compose h a) $_157 h (compose g (compose a b))) % 10.46/10.76 (compose g (compose a b))) (compose g (compose a b)) = % 10.46/10.76 compose g (compose a b) % 10.46/10.76 |- ifeq (compose (compose h a) a) $_157 % 10.46/10.76 (ifeq (compose h a) $_157 h (compose h a)) (compose h a) = compose h a % 10.46/10.76 |- ifeq (domain $X) (codomain a) % 10.46/10.76 (ifeq (compose (domain $X) a) $_157 % 10.46/10.76 (ifeq (compose h a) $_157 h (domain $X)) (domain $X)) (domain $X) = % 10.46/10.76 domain $X % 10.46/10.76 |- ifeq (codomain g) (codomain a) % 10.46/10.76 (ifeq (compose h a) $_157 (ifeq (compose h a) $_157 h h) h) h = h % 10.46/10.76 |- a = ifeq (compose h a) (compose a a) h a % 10.46/10.76 |- a = ifeq (compose a a) (compose h a) h a % 10.46/10.76 |- ifeq (codomain g) (codomain a) (ifeq a (compose h a) h (codomain g)) % 10.46/10.76 (codomain g) = codomain g % 10.46/10.76 |- ifeq (codomain g) (codomain a) h h = h % 10.46/10.76 |- ifeq (codomain $_1) (codomain a) % 10.46/10.76 (ifeq (compose (codomain $_1) a) (compose h a) h (codomain $_1)) % 10.46/10.76 (codomain $_1) = codomain $_1 % 10.46/10.76 |- ifeq (codomain b) (codomain a) % 10.46/10.76 (ifeq (compose (compose a b) a) (compose h a) h (compose a b)) % 10.46/10.76 (compose a b) = compose a b % 10.46/10.76 |- ifeq (compose (compose g a) a) (compose h a) h (compose g a) = % 10.46/10.76 compose g a % 10.46/10.76 |- ifeq (codomain b) (codomain a) % 10.46/10.76 (ifeq (compose (compose g (compose a b)) a) (compose h a) h % 10.46/10.76 (compose g (compose a b))) (compose g (compose a b)) = % 10.46/10.76 compose g (compose a b) % 10.46/10.76 |- ifeq (compose (compose h a) a) (compose h a) h (compose h a) = % 10.46/10.76 compose h a % 10.46/10.76 |- ifeq (domain $X) (codomain a) % 10.46/10.76 (ifeq (compose (domain $X) a) (compose h a) h (domain $X)) % 10.46/10.76 (domain $X) = domain $X % 10.46/10.76 |- ifeq (codomain g) (codomain a) (ifeq (compose h a) a h (codomain g)) % 10.46/10.76 (codomain g) = codomain g % 10.46/10.76 |- ifeq (codomain $_1) (codomain a) % 10.46/10.76 (ifeq (compose h a) (compose (codomain $_1) a) h (codomain $_1)) % 10.46/10.76 (codomain $_1) = codomain $_1 % 10.46/10.76 |- ifeq (codomain b) (codomain a) % 10.46/10.76 (ifeq (compose h a) (compose (compose a b) a) h (compose a b)) % 10.46/10.76 (compose a b) = compose a b % 10.46/10.76 |- ifeq (compose h a) (compose (compose g a) a) h (compose g a) = % 10.46/10.76 compose g a % 10.46/10.76 |- ifeq (codomain b) (codomain a) % 10.46/10.76 (ifeq (compose h a) (compose (compose g (compose a b)) a) h % 10.46/10.76 (compose g (compose a b))) (compose g (compose a b)) = % 10.46/10.76 compose g (compose a b) % 10.46/10.76 |- ifeq (compose h a) (compose (compose h a) a) h (compose h a) = % 10.46/10.76 compose h a % 10.46/10.76 |- ifeq (domain $X) (codomain a) % 10.46/10.76 (ifeq (compose h a) (compose (domain $X) a) h (domain $X)) % 10.46/10.76 (domain $X) = domain $X % 10.46/10.76 |- a = ifeq (compose a b) $_163 (ifeq (compose g b) $_163 g a) a % 10.46/10.76 |- $_162 = % 10.46/10.76 ifeq (codomain $_162) (codomain a) % 10.46/10.76 (ifeq (compose $_162 b) (compose g b) g $_162) $_162 % 10.46/10.76 |- codomain a = % 10.46/10.76 ifeq b $_163 (ifeq (compose g b) $_163 g (codomain a)) (codomain a) % 10.46/10.76 |- compose h a = % 10.46/10.76 ifeq (compose g (compose a b)) $_163 % 10.46/10.76 (ifeq (compose g b) $_163 g (compose h a)) (compose h a) % 10.46/10.76 |- $_162 = % 10.46/10.76 ifeq (codomain $_162) (codomain a) % 10.46/10.76 (ifeq (compose g b) (compose $_162 b) g $_162) $_162 % 10.46/10.76 |- codomain $_1 = % 10.46/10.76 ifeq (codomain $_1) (codomain a) % 10.46/10.76 (ifeq (compose (codomain $_1) b) $_163 % 10.46/10.76 (ifeq (compose g b) $_163 g (codomain $_1)) (codomain $_1)) % 10.46/10.76 (codomain $_1) % 10.46/10.76 |- compose a b = % 10.46/10.76 ifeq (codomain b) (codomain a) % 10.46/10.76 (ifeq (compose (compose a b) b) $_163 % 10.46/10.76 (ifeq (compose g b) $_163 g (compose a b)) (compose a b)) % 10.46/10.76 (compose a b) % 10.46/10.76 |- compose g a = % 10.46/10.76 ifeq (compose g (compose a b)) $_163 % 10.46/10.76 (ifeq (compose g b) $_163 g (compose g a)) (compose g a) % 10.46/10.76 |- compose g (compose a b) = % 10.46/10.76 ifeq (codomain b) (codomain a) % 10.46/10.76 (ifeq (compose (compose g (compose a b)) b) $_163 % 10.46/10.76 (ifeq (compose g b) $_163 g (compose g (compose a b))) % 10.46/10.76 (compose g (compose a b))) (compose g (compose a b)) % 10.46/10.76 |- domain $X = % 10.46/10.76 ifeq (domain $X) (codomain a) % 10.46/10.76 (ifeq (compose (domain $X) b) $_163 % 10.46/10.76 (ifeq (compose g b) $_163 g (domain $X)) (domain $X)) (domain $X) % 10.46/10.76 |- h = % 10.46/10.76 ifeq (codomain g) (codomain a) % 10.46/10.76 (ifeq (compose h b) $_163 (ifeq (compose g b) $_163 g h) h) h % 10.46/10.76 |- codomain a = ifeq (compose g b) b g (codomain a) % 10.46/10.76 |- codomain a = ifeq b (compose g b) g (codomain a) % 10.46/10.76 |- a = ifeq (compose g b) (compose a b) g a % 10.46/10.76 |- a = ifeq (compose a b) (compose g b) g a % 10.46/10.76 |- compose h a = % 10.46/10.76 ifeq (compose g (compose a b)) (compose g b) g (compose h a) % 10.46/10.76 |- codomain $_1 = % 10.46/10.76 ifeq (codomain $_1) (codomain a) % 10.46/10.76 (ifeq (compose (codomain $_1) b) (compose g b) g (codomain $_1)) % 10.46/10.76 (codomain $_1) % 10.46/10.76 |- compose a b = % 10.46/10.76 ifeq (codomain b) (codomain a) % 10.46/10.76 (ifeq (compose (compose a b) b) (compose g b) g (compose a b)) % 10.46/10.76 (compose a b) % 10.46/10.76 |- compose g a = % 10.46/10.76 ifeq (compose g (compose a b)) (compose g b) g (compose g a) % 10.46/10.76 |- compose g (compose a b) = % 10.46/10.76 ifeq (codomain b) (codomain a) % 10.46/10.76 (ifeq (compose (compose g (compose a b)) b) (compose g b) g % 10.46/10.76 (compose g (compose a b))) (compose g (compose a b)) % 10.46/10.76 |- domain $X = % 10.46/10.76 ifeq (domain $X) (codomain a) % 10.46/10.76 (ifeq (compose (domain $X) b) (compose g b) g (domain $X)) (domain $X) % 10.46/10.76 |- h = % 10.46/10.76 ifeq (codomain g) (codomain a) (ifeq (compose h b) (compose g b) g h) h % 10.46/10.76 |- compose h a = % 10.46/10.76 ifeq (compose g b) (compose g (compose a b)) g (compose h a) % 10.46/10.76 |- codomain $_1 = % 10.46/10.76 ifeq (codomain $_1) (codomain a) % 10.46/10.76 (ifeq (compose g b) (compose (codomain $_1) b) g (codomain $_1)) % 10.46/10.76 (codomain $_1) % 10.46/10.77 |- compose a b = % 10.46/10.77 ifeq (codomain b) (codomain a) % 10.46/10.77 (ifeq (compose g b) (compose (compose a b) b) g (compose a b)) % 10.46/10.77 (compose a b) % 10.46/10.77 |- compose g a = % 10.46/10.77 ifeq (compose g b) (compose g (compose a b)) g (compose g a) % 10.46/10.77 |- compose g (compose a b) = % 10.46/10.77 ifeq (codomain b) (codomain a) % 10.46/10.77 (ifeq (compose g b) (compose (compose g (compose a b)) b) g % 10.46/10.77 (compose g (compose a b))) (compose g (compose a b)) % 10.46/10.77 |- domain $X = % 10.46/10.77 ifeq (domain $X) (codomain a) % 10.46/10.77 (ifeq (compose g b) (compose (domain $X) b) g (domain $X)) (domain $X) % 10.46/10.77 |- h = % 10.46/10.77 ifeq (codomain g) (codomain a) (ifeq (compose g b) (compose h b) g h) h % 10.46/10.77 |- a = ifeq (compose a b) $_168 (ifeq (compose h b) $_168 h a) a % 10.46/10.77 |- ifeq (codomain $_169) (codomain a) % 10.46/10.77 (ifeq (compose $_169 b) (compose h b) h $_169) $_169 = $_169 % 10.46/10.77 |- ifeq b $_168 (ifeq (compose h b) $_168 h (codomain a)) (codomain a) = % 10.46/10.77 codomain a % 10.46/10.77 |- ifeq (compose g (compose a b)) $_168 % 10.46/10.77 (ifeq (compose h b) $_168 h (compose h a)) (compose h a) = compose h a % 10.46/10.77 |- ifeq (codomain $_169) (codomain a) % 10.46/10.77 (ifeq (compose h b) (compose $_169 b) h $_169) $_169 = $_169 % 10.46/10.77 |- ifeq (codomain $_1) (codomain a) % 10.46/10.77 (ifeq (compose (codomain $_1) b) $_168 % 10.46/10.77 (ifeq (compose h b) $_168 h (codomain $_1)) (codomain $_1)) % 10.46/10.77 (codomain $_1) = codomain $_1 % 10.46/10.77 |- ifeq (codomain b) (codomain a) % 10.46/10.77 (ifeq (compose (compose a b) b) $_168 % 10.46/10.77 (ifeq (compose h b) $_168 h (compose a b)) (compose a b)) % 10.46/10.77 (compose a b) = compose a b % 10.46/10.77 |- ifeq (compose g (compose a b)) $_168 % 10.46/10.77 (ifeq (compose h b) $_168 h (compose g a)) (compose g a) = compose g a % 10.46/10.77 |- ifeq (codomain b) (codomain a) % 10.46/10.77 (ifeq (compose (compose g (compose a b)) b) $_168 % 10.46/10.77 (ifeq (compose h b) $_168 h (compose g (compose a b))) % 10.46/10.77 (compose g (compose a b))) (compose g (compose a b)) = % 10.46/10.77 compose g (compose a b) % 10.46/10.77 |- ifeq (domain $X) (codomain a) % 10.46/10.77 (ifeq (compose (domain $X) b) $_168 % 10.46/10.77 (ifeq (compose h b) $_168 h (domain $X)) (domain $X)) (domain $X) = % 10.46/10.77 domain $X % 10.46/10.77 |- ifeq (codomain g) (codomain a) % 10.46/10.77 (ifeq (compose h b) $_168 (ifeq (compose h b) $_168 h h) h) h = h % 10.46/10.77 |- codomain a = ifeq (compose h b) b h (codomain a) % 10.46/10.77 |- ifeq b (compose h b) h (codomain a) = codomain a % 10.46/10.77 |- a = ifeq (compose h b) (compose a b) h a % 10.46/10.77 |- a = ifeq (compose a b) (compose h b) h a % 10.46/10.77 |- ifeq (compose g (compose a b)) (compose h b) h (compose h a) = % 10.46/10.77 compose h a % 10.46/10.77 |- ifeq (codomain $_1) (codomain a) % 10.46/10.77 (ifeq (compose (codomain $_1) b) (compose h b) h (codomain $_1)) % 10.46/10.77 (codomain $_1) = codomain $_1 % 10.46/10.77 |- ifeq (codomain b) (codomain a) % 10.46/10.77 (ifeq (compose (compose a b) b) (compose h b) h (compose a b)) % 10.46/10.77 (compose a b) = compose a b % 10.46/10.77 |- ifeq (compose g (compose a b)) (compose h b) h (compose g a) = % 10.46/10.77 compose g a % 10.46/10.77 |- ifeq (codomain b) (codomain a) % 10.46/10.77 (ifeq (compose (compose g (compose a b)) b) (compose h b) h % 10.46/10.77 (compose g (compose a b))) (compose g (compose a b)) = % 10.46/10.77 compose g (compose a b) % 10.46/10.77 |- ifeq (domain $X) (codomain a) % 10.46/10.77 (ifeq (compose (domain $X) b) (compose h b) h (domain $X)) % 10.46/10.77 (domain $X) = domain $X % 10.46/10.77 |- ifeq (compose h b) (compose g (compose a b)) h (compose h a) = % 10.46/10.77 compose h a % 10.46/10.77 |- ifeq (codomain $_1) (codomain a) % 10.46/10.77 (ifeq (compose h b) (compose (codomain $_1) b) h (codomain $_1)) % 10.46/10.77 (codomain $_1) = codomain $_1 % 10.46/10.77 |- ifeq (codomain b) (codomain a) % 10.46/10.77 (ifeq (compose h b) (compose (compose a b) b) h (compose a b)) % 10.46/10.77 (compose a b) = compose a b % 10.46/10.77 |- ifeq (compose h b) (compose g (compose a b)) h (compose g a) = % 10.46/10.77 compose g a % 10.46/10.77 |- ifeq (codomain b) (codomain a) % 10.46/10.77 (ifeq (compose h b) (compose (compose g (compose a b)) b) h % 10.46/10.77 (compose g (compose a b))) (compose g (compose a b)) = % 10.46/10.77 compose g (compose a b) % 10.46/10.77 |- ifeq (domain $X) (codomain a) % 10.46/10.77 (ifeq (compose h b) (compose (domain $X) b) h (domain $X)) % 10.46/10.77 (domain $X) = domain $X % 10.46/10.77 |- ifeq (codomain a) (domain g) % 10.46/10.77 (codomain (compose (compose g a) (compose g a))) (codomain a) = % 10.46/10.77 codomain a % 10.46/10.77 |- ifeq (codomain b) (codomain g) % 10.46/10.77 (compose (compose a b) (compose (codomain b) a)) % 10.46/10.77 (compose (compose a b) a) = compose (compose a b) a % 10.46/10.77 |- ifeq (codomain b) (codomain a) % 10.46/10.77 (compose (compose a b) (compose (codomain b) b)) % 10.46/10.77 (compose (compose a b) b) = compose (compose a b) b % 10.46/10.77 |- ifeq (codomain b) (codomain $X) % 10.46/10.77 (compose (compose a b) (compose (codomain b) (codomain $X))) % 10.46/10.77 (compose (compose a b) (codomain $X)) = % 10.46/10.77 compose (compose a b) (codomain $X) % 10.46/10.77 |- ifeq (codomain b) (codomain g) % 10.46/10.77 (compose (compose a b) (compose (codomain b) (compose a b))) % 10.46/10.77 (compose (compose a b) (compose a b)) = % 10.46/10.77 compose (compose a b) (compose a b) % 10.46/10.77 |- ifeq (codomain b) (domain g) % 10.46/10.77 (compose (compose a b) (compose (codomain b) (compose g a))) % 10.46/10.77 (compose (compose a b) (compose g a)) = % 10.46/10.77 compose (compose a b) (compose g a) % 10.46/10.77 |- ifeq (codomain b) (domain g) % 10.46/10.77 (compose (compose a b) % 10.46/10.77 (compose (codomain b) (compose g (compose a b)))) % 10.46/10.77 (compose (compose a b) (compose g (compose a b))) = % 10.46/10.77 compose (compose a b) (compose g (compose a b)) % 10.46/10.77 |- ifeq (codomain b) (domain g) % 10.46/10.77 (compose (compose a b) (compose (codomain b) (compose h a))) % 10.46/10.77 (compose (compose a b) (compose h a)) = % 10.46/10.77 compose (compose a b) (compose h a) % 10.46/10.77 |- ifeq (codomain b) (domain $X) % 10.46/10.77 (compose (compose a b) (compose (codomain b) (domain $X))) % 10.46/10.77 (compose (compose a b) (domain $X)) = % 10.46/10.77 compose (compose a b) (domain $X) % 10.46/10.77 |- ifeq (codomain b) (domain g) % 10.46/10.77 (compose (compose a b) (compose (codomain b) h)) % 10.46/10.77 (compose (compose a b) h) = compose (compose a b) h % 10.46/10.77 |- ifeq (codomain a) (codomain g) % 10.46/10.77 (compose (domain g) (compose (compose h a) a)) % 10.46/10.77 (compose (compose h a) a) = compose (compose h a) a % 10.46/10.77 |- ifeq (codomain a) (codomain $X) % 10.46/10.77 (compose (domain g) (compose (compose h a) (codomain $X))) % 10.46/10.77 (compose (compose h a) (codomain $X)) = % 10.46/10.77 compose (compose h a) (codomain $X) % 10.46/10.77 |- ifeq (codomain a) (codomain g) % 10.46/10.77 (compose (domain g) (compose (compose h a) (compose a b))) % 10.46/10.77 (compose (compose h a) (compose a b)) = % 10.46/10.77 compose (compose h a) (compose a b) % 10.46/10.77 |- ifeq (codomain a) (domain g) % 10.46/10.77 (compose (domain g) (compose (compose h a) (compose g a))) % 10.46/10.77 (compose (compose h a) (compose g a)) = % 10.46/10.77 compose (compose h a) (compose g a) % 10.46/10.77 |- ifeq (codomain a) (domain g) % 10.46/10.77 (compose (domain g) (compose (compose h a) (compose g (compose a b)))) % 10.46/10.77 (compose (compose h a) (compose g (compose a b))) = % 10.46/10.77 compose (compose h a) (compose g (compose a b)) % 10.46/10.77 |- ifeq (codomain a) (domain g) % 10.46/10.77 (compose (domain g) (compose (compose h a) (compose h a))) % 10.46/10.77 (compose (compose h a) (compose h a)) = % 10.46/10.77 compose (compose h a) (compose h a) % 10.46/10.77 |- ifeq (codomain a) (domain $X) % 10.46/10.77 (compose (domain g) (compose (compose h a) (domain $X))) % 10.46/10.77 (compose (compose h a) (domain $X)) = % 10.46/10.77 compose (compose h a) (domain $X) % 10.46/10.77 |- ifeq (codomain a) (domain g) % 10.46/10.77 (compose (domain g) (compose (compose h a) h)) % 10.46/10.77 (compose (compose h a) h) = compose (compose h a) h % 10.46/10.77 |- ifeq (codomain $_1) (codomain g) (compose (codomain $_1) (compose a b)) % 10.46/10.77 (compose (compose (codomain $_1) (codomain g)) (compose a b)) = % 10.46/10.77 compose (compose (codomain $_1) (codomain g)) (compose a b) % 10.46/10.77 |- ifeq (codomain b) (codomain g) (compose (compose a b) (compose a b)) % 10.46/10.77 (compose (compose (compose a b) (codomain g)) (compose a b)) = % 10.46/10.77 compose (compose (compose a b) (codomain g)) (compose a b) % 10.46/10.77 |- ifeq (codomain a) (codomain g) (compose (compose g a) (compose a b)) % 10.46/10.77 (compose (compose (compose g a) (codomain g)) (compose a b)) = % 10.46/10.77 compose (compose (compose g a) (codomain g)) (compose a b) % 10.46/10.77 |- ifeq (codomain b) (codomain g) % 10.46/10.77 (compose (compose g (compose a b)) (compose a b)) % 10.46/10.77 (compose (compose (compose g (compose a b)) (codomain g)) % 10.46/10.77 (compose a b)) = % 10.46/10.77 compose (compose (compose g (compose a b)) (codomain g)) (compose a b) % 10.54/10.77 |- ifeq (codomain a) (codomain g) (compose (compose h a) (compose a b)) % 10.54/10.77 (compose (compose (compose h a) (codomain g)) (compose a b)) = % 10.54/10.77 compose (compose (compose h a) (codomain g)) (compose a b) % 10.54/10.77 |- ifeq (domain $X) (codomain g) (compose (domain $X) (compose a b)) % 10.54/10.77 (compose (compose (domain $X) (codomain g)) (compose a b)) = % 10.54/10.77 compose (compose (domain $X) (codomain g)) (compose a b) % 10.54/10.77 |- ifeq (codomain $_1) (domain g) (compose (codomain $_1) (compose g a)) % 10.54/10.77 (compose (compose (codomain $_1) (domain g)) (compose g a)) = % 10.54/10.77 compose (compose (codomain $_1) (domain g)) (compose g a) % 10.54/10.77 |- ifeq (codomain b) (domain g) (compose (compose a b) (compose g a)) % 10.54/10.77 (compose (compose (compose a b) (domain g)) (compose g a)) = % 10.54/10.77 compose (compose (compose a b) (domain g)) (compose g a) % 10.54/10.77 |- ifeq (codomain a) (domain g) (compose (compose g a) (compose g a)) % 10.54/10.77 (compose (compose (compose g a) (domain g)) (compose g a)) = % 10.54/10.77 compose (compose (compose g a) (domain g)) (compose g a) % 10.54/10.77 |- ifeq (codomain b) (domain g) % 10.54/10.77 (compose (compose g (compose a b)) (compose g a)) % 10.54/10.77 (compose (compose (compose g (compose a b)) (domain g)) % 10.54/10.77 (compose g a)) = % 10.54/10.77 compose (compose (compose g (compose a b)) (domain g)) (compose g a) % 10.54/10.77 |- ifeq (codomain a) (domain g) (compose (compose h a) (compose g a)) % 10.54/10.77 (compose (compose (compose h a) (domain g)) (compose g a)) = % 10.54/10.77 compose (compose (compose h a) (domain g)) (compose g a) % 10.54/10.77 |- ifeq (domain $X) (domain g) (compose (domain $X) (compose g a)) % 10.54/10.77 (compose (compose (domain $X) (domain g)) (compose g a)) = % 10.54/10.77 compose (compose (domain $X) (domain g)) (compose g a) % 10.54/10.77 |- ifeq (codomain g) (domain g) (compose h (compose g a)) % 10.54/10.77 (compose (compose h (domain g)) (compose g a)) = % 10.54/10.77 compose (compose h (domain g)) (compose g a) % 10.54/10.77 |- ifeq (codomain $_1) (domain g) (compose (codomain $_1) (compose h a)) % 10.54/10.77 (compose (compose (codomain $_1) (domain g)) (compose h a)) = % 10.54/10.77 compose (compose (codomain $_1) (domain g)) (compose h a) % 10.54/10.77 |- ifeq (codomain b) (domain g) (compose (compose a b) (compose h a)) % 10.54/10.77 (compose (compose (compose a b) (domain g)) (compose h a)) = % 10.54/10.77 compose (compose (compose a b) (domain g)) (compose h a) % 10.54/10.77 |- ifeq (codomain a) (domain g) (compose (compose g a) (compose h a)) % 10.54/10.77 (compose (compose (compose g a) (domain g)) (compose h a)) = % 10.54/10.77 compose (compose (compose g a) (domain g)) (compose h a) % 10.54/10.77 |- ifeq (codomain b) (domain g) % 10.54/10.77 (compose (compose g (compose a b)) (compose h a)) % 10.54/10.77 (compose (compose (compose g (compose a b)) (domain g)) % 10.54/10.77 (compose h a)) = % 10.54/10.77 compose (compose (compose g (compose a b)) (domain g)) (compose h a) % 10.54/10.77 |- ifeq (codomain a) (domain g) (compose (compose h a) (compose h a)) % 10.54/10.77 (compose (compose (compose h a) (domain g)) (compose h a)) = % 10.54/10.77 compose (compose (compose h a) (domain g)) (compose h a) % 10.54/10.77 |- ifeq (domain $X) (domain g) (compose (domain $X) (compose h a)) % 10.54/10.77 (compose (compose (domain $X) (domain g)) (compose h a)) = % 10.54/10.77 compose (compose (domain $X) (domain g)) (compose h a) % 10.54/10.77 |- ifeq (codomain g) (domain g) (compose h (compose h a)) % 10.54/10.77 (compose (compose h (domain g)) (compose h a)) = % 10.54/10.77 compose (compose h (domain g)) (compose h a) % 10.54/10.77 |- ifeq (codomain $_1) (domain g) % 10.54/10.77 (compose (codomain $_1) (compose g (compose a b))) % 10.54/10.77 (compose (compose (codomain $_1) h) (compose a b)) = % 10.54/10.77 compose (compose (codomain $_1) h) (compose a b) % 10.54/10.77 |- ifeq (codomain b) (domain g) % 10.54/10.77 (compose (compose a b) (compose g (compose a b))) % 10.54/10.77 (compose (compose (compose a b) h) (compose a b)) = % 10.54/10.77 compose (compose (compose a b) h) (compose a b) % 10.54/10.77 |- ifeq (codomain a) (domain g) % 10.54/10.77 (compose (compose g a) (compose g (compose a b))) % 10.54/10.77 (compose (compose (compose g a) h) (compose a b)) = % 10.54/10.77 compose (compose (compose g a) h) (compose a b) % 10.54/10.77 |- ifeq (codomain b) (domain g) % 10.54/10.77 (compose (compose g (compose a b)) (compose g (compose a b))) % 10.54/10.77 (compose (compose (compose g (compose a b)) h) (compose a b)) = % 10.54/10.77 compose (compose (compose g (compose a b)) h) (compose a b) % 10.54/10.77 |- ifeq (codomain a) (domain g) % 10.54/10.77 (compose (compose h a) (compose g (compose a b))) % 10.54/10.77 (compose (compose (compose h a) h) (compose a b)) = % 10.54/10.77 compose (compose (compose h a) h) (compose a b) % 10.54/10.77 |- ifeq (domain $X) (domain g) % 10.54/10.77 (compose (domain $X) (compose g (compose a b))) % 10.54/10.77 (compose (compose (domain $X) h) (compose a b)) = % 10.54/10.77 compose (compose (domain $X) h) (compose a b) % 10.54/10.78 |- ifeq (codomain g) (domain g) (compose h (compose g (compose a b))) % 10.54/10.78 (compose (compose h h) (compose a b)) = % 10.54/10.78 compose (compose h h) (compose a b) % 10.54/10.78 |- ifeq (codomain $_1) (codomain g) (compose (codomain $_1) a) % 10.54/10.78 (compose (compose (codomain $_1) (codomain g)) a) = % 10.54/10.78 compose (compose (codomain $_1) (codomain g)) a % 10.54/10.78 |- ifeq (codomain b) (codomain g) (compose (compose a b) a) % 10.54/10.78 (compose (compose (compose a b) (codomain g)) a) = % 10.54/10.78 compose (compose (compose a b) (codomain g)) a % 10.54/10.78 |- ifeq (codomain a) (codomain g) (compose (compose g a) a) % 10.54/10.78 (compose (compose (compose g a) (codomain g)) a) = % 10.54/10.78 compose (compose (compose g a) (codomain g)) a % 10.54/10.78 |- ifeq (codomain b) (codomain g) (compose (compose g (compose a b)) a) % 10.54/10.78 (compose (compose (compose g (compose a b)) (codomain g)) a) = % 10.54/10.78 compose (compose (compose g (compose a b)) (codomain g)) a % 10.54/10.78 |- ifeq (codomain a) (codomain g) (compose (compose h a) a) % 10.54/10.78 (compose (compose (compose h a) (codomain g)) a) = % 10.54/10.78 compose (compose (compose h a) (codomain g)) a % 10.54/10.78 |- ifeq (domain $X) (codomain g) (compose (domain $X) a) % 10.54/10.78 (compose (compose (domain $X) (codomain g)) a) = % 10.54/10.78 compose (compose (domain $X) (codomain g)) a % 10.54/10.78 |- ifeq (codomain $_207) (codomain g) % 10.54/10.78 (ifeq (codomain g) (codomain a) % 10.54/10.78 (ifeq a (compose $_207 a) $_207 (codomain g)) (codomain g)) % 10.54/10.78 (codomain g) = codomain g % 10.54/10.78 |- ifeq (codomain $_207) (codomain g) % 10.54/10.78 (ifeq (codomain $_207) (codomain a) $_207 $_207) $_207 = $_207 % 10.54/10.78 |- ifeq (codomain $_207) (codomain g) % 10.54/10.78 (ifeq (codomain $_1) (codomain a) % 10.54/10.78 (ifeq (compose (codomain $_1) a) (compose $_207 a) $_207 % 10.54/10.78 (codomain $_1)) (codomain $_1)) (codomain $_1) = codomain $_1 % 10.54/10.78 |- ifeq (codomain $_207) (codomain g) % 10.54/10.78 (ifeq (codomain b) (codomain a) % 10.54/10.78 (ifeq (compose (compose a b) a) (compose $_207 a) $_207 % 10.54/10.78 (compose a b)) (compose a b)) (compose a b) = compose a b % 10.54/10.78 |- ifeq (codomain $_207) (codomain g) % 10.54/10.78 (ifeq (compose (compose g a) a) (compose $_207 a) $_207 (compose g a)) % 10.54/10.78 (compose g a) = compose g a % 10.54/10.78 |- ifeq (codomain $_207) (codomain g) % 10.54/10.78 (ifeq (codomain b) (codomain a) % 10.54/10.78 (ifeq (compose (compose g (compose a b)) a) (compose $_207 a) $_207 % 10.54/10.78 (compose g (compose a b))) (compose g (compose a b))) % 10.54/10.78 (compose g (compose a b)) = compose g (compose a b) % 10.54/10.78 |- ifeq (codomain $_207) (codomain g) % 10.54/10.78 (ifeq (compose (compose h a) a) (compose $_207 a) $_207 (compose h a)) % 10.54/10.78 (compose h a) = compose h a % 10.54/10.78 |- ifeq (codomain $_207) (codomain g) % 10.54/10.78 (ifeq (domain $X) (codomain a) % 10.54/10.78 (ifeq (compose (domain $X) a) (compose $_207 a) $_207 (domain $X)) % 10.54/10.78 (domain $X)) (domain $X) = domain $X % 10.54/10.78 |- ifeq (codomain $_207) (codomain g) % 10.54/10.78 (ifeq (codomain g) (codomain a) % 10.54/10.78 (ifeq (compose h a) (compose $_207 a) $_207 h) h) h = h % 10.54/10.78 |- ifeq (codomain $_207) (codomain g) % 10.54/10.78 (ifeq (compose a a) (compose $_207 a) $_207 a) a = a % 10.54/10.78 |- ifeq (codomain $_1) (codomain g) % 10.54/10.78 (ifeq (codomain $_206) (codomain a) % 10.54/10.78 (ifeq (compose $_206 a) (compose (codomain $_1) a) (codomain $_1) % 10.54/10.78 $_206) $_206) $_206 = $_206 % 10.54/10.78 |- ifeq (codomain b) (codomain g) % 10.54/10.78 (ifeq (codomain $_206) (codomain a) % 10.54/10.78 (ifeq (compose $_206 a) (compose (compose a b) a) (compose a b) % 10.54/10.78 $_206) $_206) $_206 = $_206 % 10.54/10.78 |- ifeq (codomain a) (codomain g) % 10.54/10.78 (ifeq (codomain $_206) (codomain a) % 10.54/10.78 (ifeq (compose $_206 a) (compose (compose g a) a) (compose g a) % 10.54/10.78 $_206) $_206) $_206 = $_206 % 10.54/10.78 |- ifeq (codomain b) (codomain g) % 10.54/10.78 (ifeq (codomain $_206) (codomain a) % 10.54/10.78 (ifeq (compose $_206 a) (compose (compose g (compose a b)) a) % 10.54/10.78 (compose g (compose a b)) $_206) $_206) $_206 = $_206 % 10.54/10.78 |- ifeq (codomain a) (codomain g) % 10.54/10.78 (ifeq (codomain $_206) (codomain a) % 10.54/10.78 (ifeq (compose $_206 a) (compose (compose h a) a) (compose h a) % 10.54/10.78 $_206) $_206) $_206 = $_206 % 10.54/10.78 |- ifeq (domain $X) (codomain g) % 10.54/10.78 (ifeq (codomain $_206) (codomain a) % 10.54/10.78 (ifeq (compose $_206 a) (compose (domain $X) a) (domain $X) $_206) % 10.54/10.78 $_206) $_206 = $_206 % 10.54/10.78 |- ifeq (codomain $_1) (codomain g) % 10.54/10.78 (ifeq (codomain $_1) (codomain a) (codomain $_1) (codomain $_1)) % 10.54/10.78 (codomain $_1) = codomain $_1 % 10.54/10.78 |- ifeq (codomain b) (codomain g) % 10.54/10.78 (ifeq (codomain b) (codomain a) (compose a b) (compose a b)) % 10.54/10.78 (compose a b) = compose a b % 10.54/10.78 |- ifeq (codomain a) (codomain g) (compose g a) (compose g a) = compose g a % 10.54/10.78 |- ifeq (codomain b) (codomain g) % 10.54/10.78 (ifeq (codomain b) (codomain a) (compose g (compose a b)) % 10.54/10.78 (compose g (compose a b))) (compose g (compose a b)) = % 10.54/10.78 compose g (compose a b) % 10.54/10.78 |- ifeq (codomain a) (codomain g) (compose h a) (compose h a) = compose h a % 10.54/10.78 |- ifeq (domain $X) (codomain g) % 10.54/10.78 (ifeq (domain $X) (codomain a) (domain $X) (domain $X)) (domain $X) = % 10.54/10.78 domain $X % 10.54/10.78 |- ifeq (codomain a) (codomain g) a a = a % 10.54/10.78 |- ifeq (codomain $_1) (codomain g) % 10.54/10.78 (ifeq (compose a a) (compose (codomain $_1) a) (codomain $_1) a) a = a % 10.54/10.78 |- ifeq (codomain b) (codomain g) % 10.54/10.78 (ifeq (compose a a) (compose (compose a b) a) (compose a b) a) a = a % 10.54/10.78 |- ifeq (codomain a) (codomain g) % 10.54/10.78 (ifeq (compose a a) (compose (compose g a) a) (compose g a) a) a = a % 10.54/10.78 |- ifeq (codomain b) (codomain g) % 10.54/10.78 (ifeq (compose a a) (compose (compose g (compose a b)) a) % 10.54/10.78 (compose g (compose a b)) a) a = a % 10.54/10.78 |- ifeq (codomain a) (codomain g) % 10.54/10.78 (ifeq (compose a a) (compose (compose h a) a) (compose h a) a) a = a % 10.54/10.78 |- ifeq (domain $X) (codomain g) % 10.54/10.78 (ifeq (compose a a) (compose (domain $X) a) (domain $X) a) a = a % 10.54/10.78 |- ifeq (codomain $_211) (codomain g) % 10.54/10.78 (ifeq (codomain g) (codomain a) % 10.54/10.78 (ifeq (compose $_211 a) a $_211 (codomain g)) (codomain g)) % 10.54/10.78 (codomain g) = codomain g % 10.54/10.78 |- ifeq (codomain $_211) (codomain g) % 10.54/10.78 (ifeq (codomain $_1) (codomain a) % 10.54/10.78 (ifeq (compose $_211 a) (compose (codomain $_1) a) $_211 % 10.54/10.78 (codomain $_1)) (codomain $_1)) (codomain $_1) = codomain $_1 % 10.54/10.78 |- ifeq (codomain $_211) (codomain g) % 10.54/10.78 (ifeq (codomain b) (codomain a) % 10.54/10.78 (ifeq (compose $_211 a) (compose (compose a b) a) $_211 % 10.54/10.78 (compose a b)) (compose a b)) (compose a b) = compose a b % 10.54/10.78 |- ifeq (codomain $_211) (codomain g) % 10.54/10.78 (ifeq (compose $_211 a) (compose (compose g a) a) $_211 (compose g a)) % 10.54/10.78 (compose g a) = compose g a % 10.54/10.78 |- ifeq (codomain $_211) (codomain g) % 10.54/10.78 (ifeq (codomain b) (codomain a) % 10.54/10.78 (ifeq (compose $_211 a) (compose (compose g (compose a b)) a) $_211 % 10.54/10.78 (compose g (compose a b))) (compose g (compose a b))) % 10.54/10.78 (compose g (compose a b)) = compose g (compose a b) % 10.54/10.78 |- ifeq (codomain $_211) (codomain g) % 10.54/10.78 (ifeq (compose $_211 a) (compose (compose h a) a) $_211 (compose h a)) % 10.54/10.78 (compose h a) = compose h a % 10.54/10.78 |- ifeq (codomain $_211) (codomain g) % 10.54/10.78 (ifeq (domain $X) (codomain a) % 10.54/10.78 (ifeq (compose $_211 a) (compose (domain $X) a) $_211 (domain $X)) % 10.54/10.78 (domain $X)) (domain $X) = domain $X % 10.54/10.78 |- ifeq (codomain $_211) (codomain g) % 10.54/10.78 (ifeq (codomain g) (codomain a) % 10.54/10.78 (ifeq (compose $_211 a) (compose h a) $_211 h) h) h = h % 10.54/10.78 |- ifeq (codomain $_211) (codomain g) % 10.54/10.78 (ifeq (compose $_211 a) (compose a a) $_211 a) a = a % 10.54/10.78 |- ifeq (codomain $_1) (codomain g) % 10.54/10.78 (ifeq (codomain $_210) (codomain a) % 10.54/10.78 (ifeq (compose (codomain $_1) a) (compose $_210 a) (codomain $_1) % 10.54/10.78 $_210) $_210) $_210 = $_210 % 10.54/10.78 |- ifeq (codomain b) (codomain g) % 10.54/10.78 (ifeq (codomain $_210) (codomain a) % 10.54/10.78 (ifeq (compose (compose a b) a) (compose $_210 a) (compose a b) % 10.54/10.78 $_210) $_210) $_210 = $_210 % 10.54/10.78 |- ifeq (codomain a) (codomain g) % 10.54/10.78 (ifeq (codomain $_210) (codomain a) % 10.54/10.78 (ifeq (compose (compose g a) a) (compose $_210 a) (compose g a) % 10.54/10.78 $_210) $_210) $_210 = $_210 % 10.54/10.78 |- ifeq (codomain b) (codomain g) % 10.54/10.78 (ifeq (codomain $_210) (codomain a) % 10.54/10.78 (ifeq (compose (compose g (compose a b)) a) (compose $_210 a) % 10.54/10.78 (compose g (compose a b)) $_210) $_210) $_210 = $_210 % 10.54/10.78 |- ifeq (codomain a) (codomain g) % 10.54/10.78 (ifeq (codomain $_210) (codomain a) % 10.54/10.78 (ifeq (compose (compose h a) a) (compose $_210 a) (compose h a) % 10.54/10.78 $_210) $_210) $_210 = $_210 % 10.54/10.78 |- ifeq (domain $X) (codomain g) % 10.54/10.78 (ifeq (codomain $_210) (codomain a) % 10.54/10.78 (ifeq (compose (domain $X) a) (compose $_210 a) (domain $X) $_210) % 10.54/10.78 $_210) $_210 = $_210 % 10.54/10.78 |- ifeq (codomain $_1) (codomain g) % 10.54/10.78 (ifeq (compose (codomain $_1) a) (compose a a) (codomain $_1) a) a = a % 10.54/10.78 |- ifeq (codomain b) (codomain g) % 10.54/10.78 (ifeq (compose (compose a b) a) (compose a a) (compose a b) a) a = a % 10.54/10.78 |- ifeq (codomain a) (codomain g) % 10.54/10.78 (ifeq (compose (compose g a) a) (compose a a) (compose g a) a) a = a % 10.54/10.78 |- ifeq (codomain b) (codomain g) % 10.54/10.78 (ifeq (compose (compose g (compose a b)) a) (compose a a) % 10.54/10.78 (compose g (compose a b)) a) a = a % 10.54/10.78 |- ifeq (codomain a) (codomain g) % 10.54/10.78 (ifeq (compose (compose h a) a) (compose a a) (compose h a) a) a = a % 10.54/10.78 |- ifeq (domain $X) (codomain g) % 10.54/10.78 (ifeq (compose (domain $X) a) (compose a a) (domain $X) a) a = a % 10.54/10.78 |- ifeq (codomain a) (codomain g) % 10.54/10.78 (ifeq (codomain $_214) (codomain a) % 10.54/10.78 (ifeq (compose $_214 b) b (codomain a) $_214) $_214) $_214 = $_214 % 10.54/10.78 |- ifeq (codomain a) (codomain g) % 10.54/10.78 (ifeq (codomain $_214) (codomain a) % 10.54/10.78 (ifeq (compose $_214 b) (compose g (compose a b)) (compose h a) % 10.54/10.78 $_214) $_214) $_214 = $_214 % 10.54/10.78 |- ifeq (codomain $_213) (codomain g) % 10.54/10.78 (ifeq b (compose $_213 b) $_213 (codomain a)) (codomain a) = % 10.54/10.78 codomain a % 10.54/10.78 |- ifeq (codomain $_213) (codomain g) % 10.54/10.78 (ifeq (compose g (compose a b)) (compose $_213 b) $_213 (compose h a)) % 10.54/10.78 (compose h a) = compose h a % 10.54/10.78 |- ifeq (codomain $_213) (codomain g) % 10.54/10.78 (ifeq (codomain $_1) (codomain a) % 10.54/10.78 (ifeq (compose (codomain $_1) b) (compose $_213 b) $_213 % 10.54/10.78 (codomain $_1)) (codomain $_1)) (codomain $_1) = codomain $_1 % 10.54/10.78 |- ifeq (codomain $_213) (codomain g) % 10.54/10.78 (ifeq (codomain b) (codomain a) % 10.54/10.78 (ifeq (compose (compose a b) b) (compose $_213 b) $_213 % 10.54/10.78 (compose a b)) (compose a b)) (compose a b) = compose a b % 10.54/10.78 |- ifeq (codomain $_213) (codomain g) % 10.54/10.78 (ifeq (compose g (compose a b)) (compose $_213 b) $_213 (compose g a)) % 10.54/10.78 (compose g a) = compose g a % 10.54/10.78 |- ifeq (codomain $_213) (codomain g) % 10.54/10.78 (ifeq (codomain b) (codomain a) % 10.54/10.78 (ifeq (compose (compose g (compose a b)) b) (compose $_213 b) $_213 % 10.54/10.78 (compose g (compose a b))) (compose g (compose a b))) % 10.54/10.78 (compose g (compose a b)) = compose g (compose a b) % 10.54/10.78 |- ifeq (codomain $_213) (codomain g) % 10.54/10.78 (ifeq (domain $X) (codomain a) % 10.54/10.78 (ifeq (compose (domain $X) b) (compose $_213 b) $_213 (domain $X)) % 10.54/10.78 (domain $X)) (domain $X) = domain $X % 10.54/10.78 |- ifeq (codomain $_213) (codomain g) % 10.54/10.78 (ifeq (codomain g) (codomain a) % 10.54/10.78 (ifeq (compose h b) (compose $_213 b) $_213 h) h) h = h % 10.54/10.78 |- ifeq (codomain $_213) (codomain g) % 10.54/10.78 (ifeq (compose a b) (compose $_213 b) $_213 a) a = a % 10.54/10.78 |- ifeq (codomain $_1) (codomain g) % 10.54/10.78 (ifeq (codomain $_214) (codomain a) % 10.54/10.78 (ifeq (compose $_214 b) (compose (codomain $_1) b) (codomain $_1) % 10.54/10.78 $_214) $_214) $_214 = $_214 % 10.54/10.78 |- ifeq (codomain b) (codomain g) % 10.54/10.78 (ifeq (codomain $_214) (codomain a) % 10.54/10.78 (ifeq (compose $_214 b) (compose (compose a b) b) (compose a b) % 10.54/10.78 $_214) $_214) $_214 = $_214 % 10.54/10.78 |- ifeq (codomain a) (codomain g) % 10.54/10.78 (ifeq (codomain $_214) (codomain a) % 10.54/10.78 (ifeq (compose $_214 b) (compose g (compose a b)) (compose g a) % 10.54/10.78 $_214) $_214) $_214 = $_214 % 10.54/10.78 |- ifeq (codomain b) (codomain g) % 10.54/10.78 (ifeq (codomain $_214) (codomain a) % 10.54/10.78 (ifeq (compose $_214 b) (compose (compose g (compose a b)) b) % 10.54/10.78 (compose g (compose a b)) $_214) $_214) $_214 = $_214 % 10.54/10.78 |- ifeq (domain $X) (codomain g) % 10.54/10.78 (ifeq (codomain $_214) (codomain a) % 10.54/10.78 (ifeq (compose $_214 b) (compose (domain $X) b) (domain $X) $_214) % 10.54/10.78 $_214) $_214 = $_214 % 10.54/10.78 |- ifeq (codomain a) (codomain g) (ifeq (compose a b) b (codomain a) a) a = % 10.54/10.78 a % 10.54/10.78 |- ifeq (codomain a) (codomain g) % 10.54/10.78 (ifeq (compose a b) (compose g (compose a b)) (compose h a) a) a = a % 10.54/10.78 |- ifeq (codomain $_1) (codomain g) % 10.54/10.78 (ifeq (compose a b) (compose (codomain $_1) b) (codomain $_1) a) a = a % 10.54/10.78 |- ifeq (codomain b) (codomain g) % 10.54/10.78 (ifeq (compose a b) (compose (compose a b) b) (compose a b) a) a = a % 10.54/10.78 |- ifeq (codomain a) (codomain g) % 10.54/10.78 (ifeq (compose a b) (compose g (compose a b)) (compose g a) a) a = a % 10.54/10.79 |- ifeq (codomain b) (codomain g) % 10.54/10.79 (ifeq (compose a b) (compose (compose g (compose a b)) b) % 10.54/10.79 (compose g (compose a b)) a) a = a % 10.54/10.79 |- ifeq (domain $X) (codomain g) % 10.54/10.79 (ifeq (compose a b) (compose (domain $X) b) (domain $X) a) a = a % 10.54/10.79 |- ifeq (codomain a) (codomain g) (codomain a) (codomain a) = codomain a % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq b (compose g (compose a b)) (compose h a) (codomain a)) % 10.54/10.79 (codomain a) = codomain a % 10.54/10.79 |- ifeq (codomain $_1) (codomain g) % 10.54/10.79 (ifeq b (compose (codomain $_1) b) (codomain $_1) (codomain a)) % 10.54/10.79 (codomain a) = codomain a % 10.54/10.79 |- ifeq (codomain b) (codomain g) % 10.54/10.79 (ifeq b (compose (compose a b) b) (compose a b) (codomain a)) % 10.54/10.79 (codomain a) = codomain a % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq b (compose g (compose a b)) (compose g a) (codomain a)) % 10.54/10.79 (codomain a) = codomain a % 10.54/10.79 |- ifeq (codomain b) (codomain g) % 10.54/10.79 (ifeq b (compose (compose g (compose a b)) b) % 10.54/10.79 (compose g (compose a b)) (codomain a)) (codomain a) = codomain a % 10.54/10.79 |- ifeq (domain $X) (codomain g) % 10.54/10.79 (ifeq b (compose (domain $X) b) (domain $X) (codomain a)) % 10.54/10.79 (codomain a) = codomain a % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (compose g (compose a b)) b (codomain a) (compose h a)) % 10.54/10.79 (compose h a) = compose h a % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (codomain $_1) (codomain a) % 10.54/10.79 (ifeq (compose (codomain $_1) b) b (codomain a) (codomain $_1)) % 10.54/10.79 (codomain $_1)) (codomain $_1) = codomain $_1 % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (codomain b) (codomain a) % 10.54/10.79 (ifeq (compose (compose a b) b) b (codomain a) (compose a b)) % 10.54/10.79 (compose a b)) (compose a b) = compose a b % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (compose g (compose a b)) b (codomain a) (compose g a)) % 10.54/10.79 (compose g a) = compose g a % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (codomain b) (codomain a) % 10.54/10.79 (ifeq (compose (compose g (compose a b)) b) b (codomain a) % 10.54/10.79 (compose g (compose a b))) (compose g (compose a b))) % 10.54/10.79 (compose g (compose a b)) = compose g (compose a b) % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (domain $X) (codomain a) % 10.54/10.79 (ifeq (compose (domain $X) b) b (codomain a) (domain $X)) % 10.54/10.79 (domain $X)) (domain $X) = domain $X % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (codomain g) (codomain a) (ifeq (compose h b) b (codomain a) h) % 10.54/10.79 h) h = h % 10.54/10.79 |- ifeq (codomain $_218) (codomain g) % 10.54/10.79 (ifeq (compose $_218 b) b $_218 (codomain a)) (codomain a) = % 10.54/10.79 codomain a % 10.54/10.79 |- ifeq (codomain $_218) (codomain g) % 10.54/10.79 (ifeq (compose $_218 b) (compose g (compose a b)) $_218 (compose h a)) % 10.54/10.79 (compose h a) = compose h a % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (codomain $_219) (codomain a) % 10.54/10.79 (ifeq b (compose $_219 b) (codomain a) $_219) $_219) $_219 = $_219 % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (codomain $_219) (codomain a) % 10.54/10.79 (ifeq (compose g (compose a b)) (compose $_219 b) (compose h a) % 10.54/10.79 $_219) $_219) $_219 = $_219 % 10.54/10.79 |- ifeq (codomain $_218) (codomain g) % 10.54/10.79 (ifeq (codomain $_1) (codomain a) % 10.54/10.79 (ifeq (compose $_218 b) (compose (codomain $_1) b) $_218 % 10.54/10.79 (codomain $_1)) (codomain $_1)) (codomain $_1) = codomain $_1 % 10.54/10.79 |- ifeq (codomain $_218) (codomain g) % 10.54/10.79 (ifeq (codomain b) (codomain a) % 10.54/10.79 (ifeq (compose $_218 b) (compose (compose a b) b) $_218 % 10.54/10.79 (compose a b)) (compose a b)) (compose a b) = compose a b % 10.54/10.79 |- ifeq (codomain $_218) (codomain g) % 10.54/10.79 (ifeq (compose $_218 b) (compose g (compose a b)) $_218 (compose g a)) % 10.54/10.79 (compose g a) = compose g a % 10.54/10.79 |- ifeq (codomain $_218) (codomain g) % 10.54/10.79 (ifeq (codomain b) (codomain a) % 10.54/10.79 (ifeq (compose $_218 b) (compose (compose g (compose a b)) b) $_218 % 10.54/10.79 (compose g (compose a b))) (compose g (compose a b))) % 10.54/10.79 (compose g (compose a b)) = compose g (compose a b) % 10.54/10.79 |- ifeq (codomain $_218) (codomain g) % 10.54/10.79 (ifeq (domain $X) (codomain a) % 10.54/10.79 (ifeq (compose $_218 b) (compose (domain $X) b) $_218 (domain $X)) % 10.54/10.79 (domain $X)) (domain $X) = domain $X % 10.54/10.79 |- ifeq (codomain $_218) (codomain g) % 10.54/10.79 (ifeq (codomain g) (codomain a) % 10.54/10.79 (ifeq (compose $_218 b) (compose h b) $_218 h) h) h = h % 10.54/10.79 |- ifeq (codomain $_218) (codomain g) % 10.54/10.79 (ifeq (compose $_218 b) (compose a b) $_218 a) a = a % 10.54/10.79 |- ifeq (codomain $_1) (codomain g) % 10.54/10.79 (ifeq (codomain $_219) (codomain a) % 10.54/10.79 (ifeq (compose (codomain $_1) b) (compose $_219 b) (codomain $_1) % 10.54/10.79 $_219) $_219) $_219 = $_219 % 10.54/10.79 |- ifeq (codomain b) (codomain g) % 10.54/10.79 (ifeq (codomain $_219) (codomain a) % 10.54/10.79 (ifeq (compose (compose a b) b) (compose $_219 b) (compose a b) % 10.54/10.79 $_219) $_219) $_219 = $_219 % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (codomain $_219) (codomain a) % 10.54/10.79 (ifeq (compose g (compose a b)) (compose $_219 b) (compose g a) % 10.54/10.79 $_219) $_219) $_219 = $_219 % 10.54/10.79 |- ifeq (codomain b) (codomain g) % 10.54/10.79 (ifeq (codomain $_219) (codomain a) % 10.54/10.79 (ifeq (compose (compose g (compose a b)) b) (compose $_219 b) % 10.54/10.79 (compose g (compose a b)) $_219) $_219) $_219 = $_219 % 10.54/10.79 |- ifeq (domain $X) (codomain g) % 10.54/10.79 (ifeq (codomain $_219) (codomain a) % 10.54/10.79 (ifeq (compose (domain $X) b) (compose $_219 b) (domain $X) $_219) % 10.54/10.79 $_219) $_219 = $_219 % 10.54/10.79 |- ifeq (codomain a) (codomain g) (ifeq b (compose a b) (codomain a) a) a = % 10.54/10.79 a % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (compose g (compose a b)) (compose a b) (compose h a) a) a = a % 10.54/10.79 |- ifeq (codomain $_1) (codomain g) % 10.54/10.79 (ifeq (compose (codomain $_1) b) (compose a b) (codomain $_1) a) a = a % 10.54/10.79 |- ifeq (codomain b) (codomain g) % 10.54/10.79 (ifeq (compose (compose a b) b) (compose a b) (compose a b) a) a = a % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (compose g (compose a b)) (compose a b) (compose g a) a) a = a % 10.54/10.79 |- ifeq (codomain b) (codomain g) % 10.54/10.79 (ifeq (compose (compose g (compose a b)) b) (compose a b) % 10.54/10.79 (compose g (compose a b)) a) a = a % 10.54/10.79 |- ifeq (domain $X) (codomain g) % 10.54/10.79 (ifeq (compose (domain $X) b) (compose a b) (domain $X) a) a = a % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq b (compose g (compose a b)) (codomain a) (compose h a)) % 10.54/10.79 (compose h a) = compose h a % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (codomain $_1) (codomain a) % 10.54/10.79 (ifeq b (compose (codomain $_1) b) (codomain a) (codomain $_1)) % 10.54/10.79 (codomain $_1)) (codomain $_1) = codomain $_1 % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (codomain b) (codomain a) % 10.54/10.79 (ifeq b (compose (compose a b) b) (codomain a) (compose a b)) % 10.54/10.79 (compose a b)) (compose a b) = compose a b % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq b (compose g (compose a b)) (codomain a) (compose g a)) % 10.54/10.79 (compose g a) = compose g a % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (codomain b) (codomain a) % 10.54/10.79 (ifeq b (compose (compose g (compose a b)) b) (codomain a) % 10.54/10.79 (compose g (compose a b))) (compose g (compose a b))) % 10.54/10.79 (compose g (compose a b)) = compose g (compose a b) % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (domain $X) (codomain a) % 10.54/10.79 (ifeq b (compose (domain $X) b) (codomain a) (domain $X)) % 10.54/10.79 (domain $X)) (domain $X) = domain $X % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (codomain g) (codomain a) (ifeq b (compose h b) (codomain a) h) % 10.54/10.79 h) h = h % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (compose g (compose a b)) b (compose h a) (codomain a)) % 10.54/10.79 (codomain a) = codomain a % 10.54/10.79 |- ifeq (codomain $_1) (codomain g) % 10.54/10.79 (ifeq (compose (codomain $_1) b) b (codomain $_1) (codomain a)) % 10.54/10.79 (codomain a) = codomain a % 10.54/10.79 |- ifeq (codomain b) (codomain g) % 10.54/10.79 (ifeq (compose (compose a b) b) b (compose a b) (codomain a)) % 10.54/10.79 (codomain a) = codomain a % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (compose g (compose a b)) b (compose g a) (codomain a)) % 10.54/10.79 (codomain a) = codomain a % 10.54/10.79 |- ifeq (codomain b) (codomain g) % 10.54/10.79 (ifeq (compose (compose g (compose a b)) b) b % 10.54/10.79 (compose g (compose a b)) (codomain a)) (codomain a) = codomain a % 10.54/10.79 |- ifeq (domain $X) (codomain g) % 10.54/10.79 (ifeq (compose (domain $X) b) b (domain $X) (codomain a)) % 10.54/10.79 (codomain a) = codomain a % 10.54/10.79 |- ifeq (codomain $_1) (codomain g) % 10.54/10.79 (ifeq (compose a a) $_223 % 10.54/10.79 (ifeq (compose (codomain $_1) a) $_223 (codomain $_1) a) a) a = a % 10.54/10.79 |- ifeq (codomain b) (codomain g) % 10.54/10.79 (ifeq (compose a a) $_223 % 10.54/10.79 (ifeq (compose (compose a b) a) $_223 (compose a b) a) a) a = a % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (compose a a) $_223 % 10.54/10.79 (ifeq (compose (compose g a) a) $_223 (compose g a) a) a) a = a % 10.54/10.79 |- ifeq (codomain b) (codomain g) % 10.54/10.79 (ifeq (compose a a) $_223 % 10.54/10.79 (ifeq (compose (compose g (compose a b)) a) $_223 % 10.54/10.79 (compose g (compose a b)) a) a) a = a % 10.54/10.79 |- ifeq (codomain a) (codomain g) % 10.54/10.79 (ifeq (compose a a) $_223 % 10.54/10.79 (ifeq (compose (compose h a) a) $_223 (compose h a) a) a) a = a % 10.54/10.79 |- ifeq (domain $X) (codomain g) % 10.54/10.79 (ifeq (compose a a) $_223 % 10.54/10.79 (ifeq (compose (domain $X) a) $_223 (domain $X) a) a) a = a % 10.54/10.79 |- a = ifeq (compose (codomain g) b) (compose a b) (codomain g) a % 10.54/10.79 |- ifeq (codomain $_1) (domain g) % 10.54/10.79 (compose (codomain $_1) (compose g (compose a b))) % 10.54/10.79 (compose (compose (codomain $_1) (compose h a)) b) = % 10.54/10.79 compose (compose (codomain $_1) (compose h a)) b % 10.54/10.79 |- ifeq (codomain b) (domain g) % 10.54/10.79 (compose (compose a b) (compose g (compose a b))) % 10.54/10.79 (compose (compose (compose a b) (compose h a)) b) = % 10.54/10.79 compose (compose (compose a b) (compose h a)) b % 10.54/10.79 |- ifeq (codomain a) (domain g) % 10.54/10.79 (compose (compose g a) (compose g (compose a b))) % 10.54/10.79 (compose (compose (compose g a) (compose h a)) b) = % 10.54/10.79 compose (compose (compose g a) (compose h a)) b % 10.54/10.79 |- ifeq (codomain b) (domain g) % 10.54/10.79 (compose (compose g (compose a b)) (compose g (compose a b))) % 10.54/10.79 (compose (compose (compose g (compose a b)) (compose h a)) b) = % 10.54/10.79 compose (compose (compose g (compose a b)) (compose h a)) b % 10.54/10.79 |- ifeq (codomain a) (domain g) % 10.54/10.79 (compose (compose h a) (compose g (compose a b))) % 10.54/10.79 (compose (compose (compose h a) (compose h a)) b) = % 10.54/10.79 compose (compose (compose h a) (compose h a)) b % 10.54/10.79 |- ifeq (domain $X) (domain g) % 10.54/10.79 (compose (domain $X) (compose g (compose a b))) % 10.54/10.79 (compose (compose (domain $X) (compose h a)) b) = % 10.54/10.79 compose (compose (domain $X) (compose h a)) b % 10.54/10.79 |- ifeq (codomain g) (domain g) (compose h (compose g (compose a b))) % 10.54/10.79 (compose (compose h (compose h a)) b) = % 10.54/10.79 compose (compose h (compose h a)) b % 10.54/10.79 |- ifeq (codomain $_228) (codomain g) % 10.54/10.79 (compose $_228 (compose (codomain $_228) a)) (compose $_228 a) = % 10.54/10.79 compose $_228 a % 10.54/10.79 |- ifeq (codomain $_228) (codomain a) % 10.54/10.79 (compose $_228 (compose (codomain $_228) b)) (compose $_228 b) = % 10.54/10.79 compose $_228 b % 10.54/10.79 |- ifeq (codomain $_228) (codomain $X) % 10.54/10.79 (compose $_228 (compose (codomain $_228) (codomain $X))) % 10.54/10.79 (compose $_228 (codomain $X)) = compose $_228 (codomain $X) % 10.54/10.79 |- ifeq (codomain $_228) (codomain g) % 10.54/10.79 (compose $_228 (compose (codomain $_228) (compose a b))) % 10.54/10.79 (compose $_228 (compose a b)) = compose $_228 (compose a b) % 10.54/10.79 |- ifeq (codomain $_228) (domain g) % 10.54/10.79 (compose $_228 (compose (codomain $_228) (compose g a))) % 10.54/10.79 (compose $_228 (compose g a)) = compose $_228 (compose g a) % 10.54/10.79 |- ifeq (codomain $_228) (domain g) % 10.54/10.79 (compose $_228 (compose (codomain $_228) (compose g (compose a b)))) % 10.54/10.79 (compose $_228 (compose g (compose a b))) = % 10.54/10.79 compose $_228 (compose g (compose a b)) % 10.54/10.79 |- ifeq (codomain $_228) (domain g) % 10.54/10.79 (compose $_228 (compose (codomain $_228) (compose h a))) % 10.54/10.79 (compose $_228 (compose h a)) = compose $_228 (compose h a) % 10.54/10.79 |- ifeq (codomain $_228) (domain $X) % 10.54/10.79 (compose $_228 (compose (codomain $_228) (domain $X))) % 10.54/10.79 (compose $_228 (domain $X)) = compose $_228 (domain $X) % 10.54/10.79 |- ifeq (codomain $_228) (domain g) % 10.54/10.79 (compose $_228 (compose (codomain $_228) h)) (compose $_228 h) = % 10.54/10.79 compose $_228 h % 10.54/10.79 |- ifeq (codomain $_1) (codomain a) % 10.54/10.79 (compose (codomain $_1) (compose (codomain $_1) b)) % 10.54/10.79 (compose (codomain $_1) b) = compose (codomain $_1) b % 10.54/10.79 |- ifeq (codomain b) (codomain a) % 10.54/10.79 (compose (compose g (compose a b)) (compose (codomain b) b)) % 10.54/10.79 (compose (compose g (compose a b)) b) = % 10.54/10.79 compose (compose g (compose a b)) b % 10.54/10.81 |- ifeq (domain $X) (codomain a) % 10.54/10.81 (compose (domain $X) (compose (domain $X) b)) % 10.54/10.81 (compose (domain $X) b) = compose (domain $X) b % 10.54/10.81 |- ifeq (codomain $_1) (codomain g) % 10.54/10.81 (compose (codomain $_1) (compose (codomain $_1) a)) % 10.54/10.81 (compose (codomain $_1) a) = compose (codomain $_1) a % 10.54/10.81 |- ifeq (codomain a) (codomain g) % 10.54/10.81 (compose (compose g a) (compose (codomain a) a)) % 10.54/10.81 (compose (compose g a) a) = compose (compose g a) a % 10.54/10.81 |- ifeq (codomain b) (codomain g) % 10.54/10.81 (compose (compose g (compose a b)) (compose (codomain b) a)) % 10.54/10.81 (compose (compose g (compose a b)) a) = % 10.54/10.81 compose (compose g (compose a b)) a % 10.54/10.81 |- ifeq (codomain a) (codomain g) % 10.54/10.81 (compose (compose h a) (compose (codomain a) a)) % 10.54/10.81 (compose (compose h a) a) = compose (compose h a) a % 10.54/10.81 |- ifeq (domain $X) (codomain g) % 10.54/10.81 (compose (domain $X) (compose (domain $X) a)) % 10.54/10.81 (compose (domain $X) a) = compose (domain $X) a % 10.54/10.81 |- ifeq (codomain $_1) (domain g) % 10.54/10.81 (compose (codomain $_1) (compose (codomain $_1) h)) % 10.54/10.81 (compose (codomain $_1) h) = compose (codomain $_1) h % 10.54/10.81 |- ifeq (codomain a) (domain g) % 10.54/10.81 (compose (compose g a) (compose (codomain a) h)) % 10.54/10.81 (compose (compose g a) h) = compose (compose g a) h % 10.54/10.81 |- ifeq (codomain b) (domain g) % 10.54/10.81 (compose (compose g (compose a b)) (compose (codomain b) h)) % 10.54/10.81 (compose (compose g (compose a b)) h) = % 10.54/10.81 compose (compose g (compose a b)) h % 10.54/10.81 |- ifeq (codomain a) (domain g) % 10.54/10.81 (compose (compose h a) (compose (codomain a) h)) % 10.54/10.81 (compose (compose h a) h) = compose (compose h a) h % 10.54/10.81 |- ifeq (domain $X) (domain g) % 10.54/10.81 (compose (domain $X) (compose (domain $X) h)) % 10.54/10.81 (compose (domain $X) h) = compose (domain $X) h % 10.54/10.81 |- codomain a = ifeq a (compose (codomain a) a) (codomain g) (codomain a) % 10.54/10.81 |- ifeq (codomain b) (codomain $X) % 10.54/10.81 (compose (compose g (compose a b)) % 10.54/10.81 (compose (codomain b) (codomain $X))) % 10.54/10.81 (compose (compose g (compose a b)) (codomain $X)) = % 10.54/10.81 compose (compose g (compose a b)) (codomain $X) % 10.54/10.81 |- ifeq (codomain b) (codomain g) % 10.54/10.81 (compose (compose g (compose a b)) % 10.54/10.81 (compose (codomain b) (compose a b))) % 10.54/10.81 (compose (compose g (compose a b)) (compose a b)) = % 10.54/10.81 compose (compose g (compose a b)) (compose a b) % 10.54/10.81 |- ifeq (codomain b) (domain g) % 10.54/10.81 (compose (compose g (compose a b)) % 10.54/10.81 (compose (codomain b) (compose g a))) % 10.54/10.81 (compose (compose g (compose a b)) (compose g a)) = % 10.54/10.81 compose (compose g (compose a b)) (compose g a) % 10.54/10.81 |- ifeq (codomain b) (domain g) % 10.54/10.81 (compose (compose g (compose a b)) % 10.54/10.81 (compose (codomain b) (compose g (compose a b)))) % 10.54/10.81 (compose (compose g (compose a b)) (compose g (compose a b))) = % 10.54/10.81 compose (compose g (compose a b)) (compose g (compose a b)) % 10.54/10.81 |- ifeq (codomain b) (domain g) % 10.54/10.81 (compose (compose g (compose a b)) % 10.54/10.81 (compose (codomain b) (compose h a))) % 10.54/10.81 (compose (compose g (compose a b)) (compose h a)) = % 10.54/10.81 compose (compose g (compose a b)) (compose h a) % 10.54/10.81 |- ifeq (codomain b) (domain $X) % 10.54/10.81 (compose (compose g (compose a b)) (compose (codomain b) (domain $X))) % 10.54/10.81 (compose (compose g (compose a b)) (domain $X)) = % 10.54/10.81 compose (compose g (compose a b)) (domain $X) % 10.54/10.81 |- ifeq (codomain a) (codomain $X) % 10.54/10.81 (compose (compose h a) (compose (codomain a) (codomain $X))) % 10.54/10.81 (compose (compose h a) (codomain $X)) = % 10.54/10.81 compose (compose h a) (codomain $X) % 10.54/10.81 |- ifeq (codomain a) (codomain g) % 10.54/10.81 (compose (compose h a) (compose (codomain a) (compose a b))) % 10.54/10.81 (compose (compose h a) (compose a b)) = % 10.54/10.81 compose (compose h a) (compose a b) % 10.54/10.81 |- ifeq (codomain a) (domain g) % 10.54/10.81 (compose (compose h a) (compose (codomain a) (compose g a))) % 10.54/10.81 (compose (compose h a) (compose g a)) = % 10.54/10.81 compose (compose h a) (compose g a) % 10.54/10.81 |- ifeq (codomain a) (domain g) % 10.54/10.81 (compose (compose h a) % 10.54/10.81 (compose (codomain a) (compose g (compose a b)))) % 10.54/10.81 (compose (compose h a) (compose g (compose a b))) = % 10.54/10.81 compose (compose h a) (compose g (compose a b)) % 10.54/10.81 |- ifeq (codomain a) (domain g) % 10.54/10.81 (compose (compose h a) (compose (codomain a) (compose h a))) % 10.54/10.81 (compose (compose h a) (compose h a)) = % 10.54/10.81 compose (compose h a) (compose h a) % 10.54/10.81 |- ifeq (codomain a) (domain $X) % 10.54/10.81 (compose (compose h a) (compose (codomain a) (domain $X))) % 10.54/10.81 (compose (compose h a) (domain $X)) = % 10.54/10.81 compose (compose h a) (domain $X) % 10.54/10.82 |- ifeq (compose (codomain a) a) a (codomain g) (codomain a) = codomain a % 10.54/10.82 |- ifeq (codomain $_1) (codomain g) (compose (codomain $_1) (compose a b)) % 10.54/10.82 (compose (compose (codomain $_1) (compose a b)) (codomain b)) = % 10.54/10.82 compose (compose (codomain $_1) (compose a b)) (codomain b) % 10.54/10.82 |- ifeq (codomain b) (codomain g) (compose (compose a b) (compose a b)) % 10.54/10.82 (compose (compose (compose a b) (compose a b)) (codomain b)) = % 10.54/10.82 compose (compose (compose a b) (compose a b)) (codomain b) % 10.54/10.82 |- ifeq (codomain a) (codomain g) (compose (compose g a) (compose a b)) % 10.54/10.82 (compose (compose (compose g a) (compose a b)) (codomain b)) = % 10.54/10.82 compose (compose (compose g a) (compose a b)) (codomain b) % 10.54/10.82 |- ifeq (codomain b) (codomain g) % 10.54/10.82 (compose (compose g (compose a b)) (compose a b)) % 10.54/10.82 (compose (compose (compose g (compose a b)) (compose a b)) % 10.54/10.82 (codomain b)) = % 10.54/10.82 compose (compose (compose g (compose a b)) (compose a b)) (codomain b) % 10.54/10.82 |- ifeq (codomain a) (codomain g) (compose (compose h a) (compose a b)) % 10.54/10.82 (compose (compose (compose h a) (compose a b)) (codomain b)) = % 10.54/10.82 compose (compose (compose h a) (compose a b)) (codomain b) % 10.54/10.82 |- ifeq (domain $X) (codomain g) (compose (domain $X) (compose a b)) % 10.54/10.82 (compose (compose (domain $X) (compose a b)) (codomain b)) = % 10.54/10.82 compose (compose (domain $X) (compose a b)) (codomain b) % 10.54/10.82 |- ifeq (codomain $_1) (domain g) (compose (codomain $_1) (compose h a)) % 10.54/10.82 (compose (compose (codomain $_1) (compose h a)) (codomain a)) = % 10.54/10.82 compose (compose (codomain $_1) (compose h a)) (codomain a) % 10.54/10.82 |- ifeq (codomain b) (domain g) (compose (compose a b) (compose h a)) % 10.54/10.82 (compose (compose (compose a b) (compose h a)) (codomain a)) = % 10.54/10.82 compose (compose (compose a b) (compose h a)) (codomain a) % 10.54/10.82 |- ifeq (codomain a) (domain g) (compose (compose g a) (compose h a)) % 10.54/10.82 (compose (compose (compose g a) (compose h a)) (codomain a)) = % 10.54/10.82 compose (compose (compose g a) (compose h a)) (codomain a) % 10.54/10.82 |- ifeq (codomain b) (domain g) % 10.54/10.82 (compose (compose g (compose a b)) (compose h a)) % 10.54/10.82 (compose (compose (compose g (compose a b)) (compose h a)) % 10.54/10.82 (codomain a)) = % 10.54/10.82 compose (compose (compose g (compose a b)) (compose h a)) (codomain a) % 10.54/10.82 |- ifeq (codomain a) (domain g) (compose (compose h a) (compose h a)) % 10.54/10.82 (compose (compose (compose h a) (compose h a)) (codomain a)) = % 10.54/10.82 compose (compose (compose h a) (compose h a)) (codomain a) % 10.54/10.82 |- ifeq (domain $X) (domain g) (compose (domain $X) (compose h a)) % 10.54/10.82 (compose (compose (domain $X) (compose h a)) (codomain a)) = % 10.54/10.82 compose (compose (domain $X) (compose h a)) (codomain a) % 10.54/10.82 |- ifeq (codomain g) (domain g) (compose h (compose h a)) % 10.54/10.82 (compose (compose h (compose h a)) (codomain a)) = % 10.54/10.82 compose (compose h (compose h a)) (codomain a) % 10.54/10.82 |- ifeq (codomain a) (codomain g) % 10.54/10.82 (ifeq (compose a b) $_243 (ifeq b $_243 (codomain a) a) a) a = a % 10.54/10.82 |- ifeq (codomain a) (codomain g) % 10.54/10.82 (ifeq (compose a b) $_243 % 10.54/10.82 (ifeq (compose g (compose a b)) $_243 (compose h a) a) a) a = a % 10.54/10.82 |- ifeq (codomain $_1) (codomain g) % 10.54/10.82 (ifeq (compose a b) $_243 % 10.54/10.82 (ifeq (compose (codomain $_1) b) $_243 (codomain $_1) a) a) a = a % 10.54/10.82 |- ifeq (codomain b) (codomain g) % 10.54/10.82 (ifeq (compose a b) $_243 % 10.54/10.82 (ifeq (compose (compose a b) b) $_243 (compose a b) a) a) a = a % 10.54/10.82 |- ifeq (codomain a) (codomain g) % 10.54/10.82 (ifeq (compose a b) $_243 % 10.54/10.82 (ifeq (compose g (compose a b)) $_243 (compose g a) a) a) a = a % 10.54/10.82 |- ifeq (codomain b) (codomain g) % 10.54/10.82 (ifeq (compose a b) $_243 % 10.54/10.82 (ifeq (compose (compose g (compose a b)) b) $_243 % 10.54/10.82 (compose g (compose a b)) a) a) a = a % 10.54/10.82 |- ifeq (domain $X) (codomain g) % 10.54/10.82 (ifeq (compose a b) $_243 % 10.54/10.82 (ifeq (compose (domain $X) b) $_243 (domain $X) a) a) a = a % 10.54/10.82 |- ifeq (codomain $_249) (codomain g) % 10.54/10.82 (compose (domain $_249) (compose $_249 a)) (compose $_249 a) = % 10.54/10.82 compose $_249 a % 10.54/10.82 |- ifeq (codomain $_249) (codomain a) % 10.54/10.82 (compose (domain $_249) (compose $_249 b)) (compose $_249 b) = % 10.54/10.82 compose $_249 b % 10.54/10.82 |- ifeq (codomain $_249) (codomain $X) % 10.54/10.82 (compose (domain $_249) (compose $_249 (codomain $X))) % 10.54/10.82 (compose $_249 (codomain $X)) = compose $_249 (codomain $X) % 10.54/10.82 |- ifeq (codomain $_249) (codomain g) % 10.54/10.82 (compose (domain $_249) (compose $_249 (compose a b))) % 10.54/10.82 (compose $_249 (compose a b)) = compose $_249 (compose a b) % 10.54/10.82 |- ifeq (codomain $_249) (domain g) % 10.54/10.82 (compose (domain $_249) (compose $_249 (compose g a))) % 10.54/10.82 (compose $_249 (compose g a)) = compose $_249 (compose g a) % 10.54/10.82 |- ifeq (codomain $_249) (domain g) % 10.54/10.82 (compose (domain $_249) (compose $_249 (compose g (compose a b)))) % 10.54/10.82 (compose $_249 (compose g (compose a b))) = % 10.54/10.82 compose $_249 (compose g (compose a b)) % 10.54/10.82 |- ifeq (codomain $_249) (domain g) % 10.54/10.82 (compose (domain $_249) (compose $_249 (compose h a))) % 10.54/10.82 (compose $_249 (compose h a)) = compose $_249 (compose h a) % 10.54/10.82 |- ifeq (codomain $_249) (domain $X) % 10.54/10.82 (compose (domain $_249) (compose $_249 (domain $X))) % 10.54/10.82 (compose $_249 (domain $X)) = compose $_249 (domain $X) % 10.54/10.82 |- ifeq (codomain $_249) (domain g) % 10.54/10.82 (compose (domain $_249) (compose $_249 h)) (compose $_249 h) = % 10.54/10.82 compose $_249 h % 10.54/10.82 |- ifeq (codomain b) (codomain g) % 10.54/10.82 (compose (domain g) (compose (compose g (compose a b)) a)) % 10.54/10.82 (compose (compose g (compose a b)) a) = % 10.54/10.82 compose (compose g (compose a b)) a % 10.54/10.82 |- ifeq (codomain b) (codomain a) % 10.54/10.82 (compose (domain g) (compose (compose g (compose a b)) b)) % 10.54/10.82 (compose (compose g (compose a b)) b) = % 10.54/10.82 compose (compose g (compose a b)) b % 10.54/10.82 |- ifeq (codomain a) (domain g) % 10.54/10.82 (domain (compose (compose g a) (compose g a))) (domain g) = domain g % 10.54/10.82 |- codomain a = ifeq b (compose (codomain g) b) (codomain g) (codomain a) % 10.54/10.82 |- ifeq (codomain $_1) (codomain g) % 10.54/10.82 (ifeq (compose (codomain $_1) a) (compose (compose g a) a) % 10.54/10.82 (codomain $_1) (compose g a)) (compose g a) = compose g a % 10.54/10.82 |- ifeq (codomain b) (codomain g) % 10.54/10.82 (ifeq (compose (compose a b) a) (compose (compose g a) a) % 10.54/10.82 (compose a b) (compose g a)) (compose g a) = compose g a % 10.54/10.82 |- ifeq (codomain b) (codomain g) % 10.54/10.82 (ifeq (compose (compose g (compose a b)) a) (compose (compose g a) a) % 10.54/10.82 (compose g (compose a b)) (compose g a)) (compose g a) = % 10.54/10.82 compose g a % 10.54/10.82 |- ifeq (codomain a) (codomain g) % 10.54/10.82 (ifeq (compose (compose h a) a) (compose (compose g a) a) % 10.54/10.82 (compose h a) (compose g a)) (compose g a) = compose g a % 10.54/10.82 |- ifeq (domain $X) (codomain g) % 10.54/10.82 (ifeq (compose (domain $X) a) (compose (compose g a) a) (domain $X) % 10.54/10.82 (compose g a)) (compose g a) = compose g a % 10.54/10.82 |- ifeq (codomain $_1) (codomain g) % 10.54/10.82 (ifeq (compose (codomain $_1) a) (compose (compose h a) a) % 10.54/10.82 (codomain $_1) (compose h a)) (compose h a) = compose h a % 10.54/10.82 |- ifeq (codomain b) (codomain g) % 10.54/10.82 (ifeq (compose (compose a b) a) (compose (compose h a) a) % 10.54/10.82 (compose a b) (compose h a)) (compose h a) = compose h a % 10.54/10.82 |- ifeq (codomain a) (codomain g) % 10.54/10.82 (ifeq (compose (compose g a) a) (compose (compose h a) a) % 10.54/10.82 (compose g a) (compose h a)) (compose h a) = compose h a % 10.54/10.82 |- ifeq (codomain b) (codomain g) % 10.54/10.82 (ifeq (compose (compose g (compose a b)) a) (compose (compose h a) a) % 10.54/10.82 (compose g (compose a b)) (compose h a)) (compose h a) = % 10.54/10.82 compose h a % 10.54/10.82 |- ifeq (domain $X) (codomain g) % 10.54/10.82 (ifeq (compose (domain $X) a) (compose (compose h a) a) (domain $X) % 10.54/10.82 (compose h a)) (compose h a) = compose h a % 10.54/10.82 |- ifeq (codomain $_1) (codomain g) % 10.54/10.82 (ifeq (compose g (compose a b)) (compose (codomain $_1) b) % 10.54/10.82 (codomain $_1) (compose h a)) (compose h a) = compose h a % 10.54/10.82 |- ifeq (codomain b) (codomain g) % 10.54/10.82 (ifeq (compose g (compose a b)) (compose (compose a b) b) % 10.54/10.82 (compose a b) (compose h a)) (compose h a) = compose h a % 10.54/10.82 |- ifeq (codomain a) (codomain g) (compose g a) (compose h a) = compose h a % 10.54/10.82 |- ifeq (codomain b) (codomain g) % 10.54/10.82 (ifeq (compose g (compose a b)) (compose (compose g (compose a b)) b) % 10.54/10.82 (compose g (compose a b)) (compose h a)) (compose h a) = % 10.54/10.82 compose h a % 10.54/10.82 |- ifeq (domain $X) (codomain g) % 10.54/10.82 (ifeq (compose g (compose a b)) (compose (domain $X) b) (domain $X) % 10.54/10.82 (compose h a)) (compose h a) = compose h a % 10.54/10.82 |- ifeq (codomain a) (codomain g) (compose h a) (compose g a) = compose g a % 10.54/10.82 |- ifeq (codomain $_1) (codomain g) % 10.54/10.82 (ifeq (compose (codomain $_1) b) (compose g (compose a b)) % 10.54/10.82 (codomain $_1) (compose g a)) (compose g a) = compose g a % 10.54/10.82 |- ifeq (codomain b) (codomain g) % 10.54/10.82 (ifeq (compose (compose a b) b) (compose g (compose a b)) % 10.54/10.82 (compose a b) (compose g a)) (compose g a) = compose g a % 10.54/10.82 |- ifeq (codomain b) (codomain g) % 10.54/10.82 (ifeq (compose (compose g (compose a b)) b) (compose g (compose a b)) % 10.54/10.82 (compose g (compose a b)) (compose g a)) (compose g a) = % 10.54/10.82 compose g a % 10.54/10.82 |- ifeq (domain $X) (codomain g) % 10.54/10.82 (ifeq (compose (domain $X) b) (compose g (compose a b)) (domain $X) % 10.54/10.82 (compose g a)) (compose g a) = compose g a % 10.54/10.82 |- codomain a = ifeq (compose h a) (compose (codomain a) a) h (codomain a) % 10.54/10.82 |- ifeq (codomain $_1) (domain $_269) (compose (codomain $_1) $_269) % 10.54/10.82 (compose (compose (codomain $_1) (domain $_269)) $_269) = % 10.54/10.82 compose (compose (codomain $_1) (domain $_269)) $_269 % 10.54/10.82 |- ifeq (codomain b) (domain $_269) (compose (compose a b) $_269) % 10.54/10.82 (compose (compose (compose a b) (domain $_269)) $_269) = % 10.54/10.82 compose (compose (compose a b) (domain $_269)) $_269 % 10.54/10.82 |- ifeq (codomain a) (domain $_269) (compose (compose g a) $_269) % 10.54/10.82 (compose (compose (compose g a) (domain $_269)) $_269) = % 10.54/10.82 compose (compose (compose g a) (domain $_269)) $_269 % 10.54/10.82 |- ifeq (codomain b) (domain $_269) % 10.54/10.82 (compose (compose g (compose a b)) $_269) % 10.54/10.82 (compose (compose (compose g (compose a b)) (domain $_269)) $_269) = % 10.54/10.82 compose (compose (compose g (compose a b)) (domain $_269)) $_269 % 10.54/10.82 |- ifeq (codomain a) (domain $_269) (compose (compose h a) $_269) % 10.54/10.82 (compose (compose (compose h a) (domain $_269)) $_269) = % 10.54/10.82 compose (compose (compose h a) (domain $_269)) $_269 % 10.54/10.82 |- ifeq (domain $X) (domain $_269) (compose (domain $X) $_269) % 10.54/10.82 (compose (compose (domain $X) (domain $_269)) $_269) = % 10.54/10.82 compose (compose (domain $X) (domain $_269)) $_269 % 10.54/10.82 |- ifeq (codomain g) (domain $_269) (compose h $_269) % 10.54/10.82 (compose (compose h (domain $_269)) $_269) = % 10.54/10.82 compose (compose h (domain $_269)) $_269 % 10.54/10.82 |- codomain a = ifeq (compose g a) (compose (codomain a) a) g (codomain a) % 10.54/10.82 |- codomain a = ifeq (compose (codomain a) a) (compose h a) h (codomain a) % 10.54/10.82 |- ifeq (codomain $_1) (codomain g) % 10.54/10.82 (compose (codomain $_1) (compose (codomain $_1) (compose a b))) % 10.54/10.82 (compose (codomain $_1) (compose a b)) = % 10.54/10.82 compose (codomain $_1) (compose a b) % 10.54/10.82 |- ifeq (codomain a) (codomain g) % 10.54/10.82 (compose (compose g a) (compose (codomain a) (compose a b))) % 10.54/10.82 (compose (compose g a) (compose a b)) = % 10.54/10.82 compose (compose g a) (compose a b) % 10.54/10.82 |- ifeq (domain $X) (codomain g) % 10.54/10.82 (compose (domain $X) (compose (domain $X) (compose a b))) % 10.54/10.82 (compose (domain $X) (compose a b)) = % 10.54/10.82 compose (domain $X) (compose a b) % 10.54/10.82 |- ifeq (codomain $X) (domain g) % 10.54/10.82 (compose (codomain $X) (compose (codomain $X) (compose g a))) % 10.54/10.82 (compose (codomain $X) (compose g a)) = % 10.54/10.82 compose (codomain $X) (compose g a) % 10.54/10.82 |- ifeq (codomain b) (domain g) % 10.54/10.82 (compose (domain g) (compose (compose g (compose a b)) (compose g a))) % 10.54/10.82 (compose (compose g (compose a b)) (compose g a)) = % 10.54/10.82 compose (compose g (compose a b)) (compose g a) % 10.54/10.82 |- ifeq (domain $X) (domain g) % 10.54/10.82 (compose (domain $X) (compose (domain $X) (compose g a))) % 10.54/10.82 (compose (domain $X) (compose g a)) = % 10.54/10.82 compose (domain $X) (compose g a) % 10.54/10.82 |- ifeq (codomain a) (codomain g) % 10.54/10.82 (ifeq b $_280 (ifeq b $_280 (codomain a) (codomain a)) (codomain a)) % 10.54/10.82 (codomain a) = codomain a % 10.54/10.82 |- ifeq (codomain a) (codomain g) % 10.54/10.82 (ifeq b $_280 % 10.54/10.82 (ifeq (compose g (compose a b)) $_280 (compose h a) (codomain a)) % 10.54/10.82 (codomain a)) (codomain a) = codomain a % 10.54/10.82 |- ifeq (codomain $_1) (codomain g) % 10.54/10.82 (ifeq b $_280 % 10.54/10.82 (ifeq (compose (codomain $_1) b) $_280 (codomain $_1) (codomain a)) % 10.54/10.82 (codomain a)) (codomain a) = codomain a % 10.54/10.82 |- ifeq (codomain b) (codomain g) % 10.54/10.82 (ifeq b $_280 % 10.54/10.82 (ifeq (compose (compose a b) b) $_280 (compose a b) (codomain a)) % 10.54/10.82 (codomain a)) (codomain a) = codomain a % 10.54/10.82 |- ifeq (codomain a) (codomain g) % 10.54/10.82 (ifeq b $_280 % 10.54/10.82 (ifeq (compose g (compose a b)) $_280 (compose g a) (codomain a)) % 10.54/10.82 (codomain a)) (codomain a) = codomain a % 10.54/10.82 |- ifeq (codomain b) (codomain g) % 10.54/10.82 (ifeq b $_280 % 10.54/10.82 (ifeq (compose (compose g (compose a b)) b) $_280 % 10.54/10.82 (compose g (compose a b)) (codomain a)) (codomain a)) % 10.54/10.82 (codomain a) = codomain a % 10.54/10.82 |- ifeq (domain $X) (codomain g) % 10.54/10.82 (ifeq b $_280 % 10.54/10.82 (ifeq (compose (domain $X) b) $_280 (domain $X) (codomain a)) % 10.54/10.82 (codomain a)) (codomain a) = codomain a % 10.54/10.83 |- ifeq (codomain $_1) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose (codomain $_1) a) (compose h a) (codomain $_1) h) h) % 10.54/10.83 h = h % 10.54/10.83 |- ifeq (codomain b) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose (compose a b) a) (compose h a) (compose a b) h) h) % 10.54/10.83 h = h % 10.54/10.83 |- ifeq (codomain a) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose (compose g a) a) (compose h a) (compose g a) h) h) % 10.54/10.83 h = h % 10.54/10.83 |- ifeq (codomain b) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose (compose g (compose a b)) a) (compose h a) % 10.54/10.83 (compose g (compose a b)) h) h) h = h % 10.54/10.83 |- ifeq (codomain a) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose (compose h a) a) (compose h a) (compose h a) h) h) % 10.54/10.83 h = h % 10.54/10.83 |- ifeq (domain $X) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose (domain $X) a) (compose h a) (domain $X) h) h) h = h % 10.54/10.83 |- ifeq (codomain $_1) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose h a) (compose (codomain $_1) a) (codomain $_1) h) h) % 10.54/10.83 h = h % 10.54/10.83 |- ifeq (codomain b) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose h a) (compose (compose a b) a) (compose a b) h) h) % 10.54/10.83 h = h % 10.54/10.83 |- ifeq (codomain a) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose h a) (compose (compose g a) a) (compose g a) h) h) % 10.54/10.83 h = h % 10.54/10.83 |- ifeq (codomain b) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose h a) (compose (compose g (compose a b)) a) % 10.54/10.83 (compose g (compose a b)) h) h) h = h % 10.54/10.83 |- ifeq (codomain a) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose h a) (compose (compose h a) a) (compose h a) h) h) % 10.54/10.83 h = h % 10.54/10.83 |- ifeq (domain $X) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose h a) (compose (domain $X) a) (domain $X) h) h) h = h % 10.54/10.83 |- ifeq (codomain a) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose h b) (compose g (compose a b)) (compose h a) h) h) % 10.54/10.83 h = h % 10.54/10.83 |- ifeq (codomain $_1) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose h b) (compose (codomain $_1) b) (codomain $_1) h) h) % 10.54/10.83 h = h % 10.54/10.83 |- ifeq (codomain b) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose h b) (compose (compose a b) b) (compose a b) h) h) % 10.54/10.83 h = h % 10.54/10.83 |- ifeq (codomain a) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose h b) (compose g (compose a b)) (compose g a) h) h) % 10.54/10.83 h = h % 10.54/10.83 |- ifeq (codomain b) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose h b) (compose (compose g (compose a b)) b) % 10.54/10.83 (compose g (compose a b)) h) h) h = h % 10.54/10.83 |- ifeq (domain $X) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose h b) (compose (domain $X) b) (domain $X) h) h) h = h % 10.54/10.83 |- ifeq (codomain a) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose g (compose a b)) (compose h b) (compose h a) h) h) % 10.54/10.83 h = h % 10.54/10.83 |- ifeq (codomain $_1) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose (codomain $_1) b) (compose h b) (codomain $_1) h) h) % 10.54/10.83 h = h % 10.54/10.83 |- ifeq (codomain b) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose (compose a b) b) (compose h b) (compose a b) h) h) % 10.54/10.83 h = h % 10.54/10.83 |- ifeq (codomain a) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose g (compose a b)) (compose h b) (compose g a) h) h) % 10.54/10.83 h = h % 10.54/10.83 |- ifeq (codomain b) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose (compose g (compose a b)) b) (compose h b) % 10.54/10.83 (compose g (compose a b)) h) h) h = h % 10.54/10.83 |- ifeq (domain $X) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose (domain $X) b) (compose h b) (domain $X) h) h) h = h % 10.54/10.83 |- ifeq (codomain b) (domain g) % 10.54/10.83 (compose (domain g) (compose (compose g (compose a b)) h)) % 10.54/10.83 (compose (compose g (compose a b)) h) = % 10.54/10.83 compose (compose g (compose a b)) h % 10.54/10.83 |- ifeq (codomain a) (codomain g) % 10.54/10.83 (ifeq (compose g (compose a b)) $_293 % 10.54/10.83 (ifeq b $_293 (codomain a) (compose h a)) (compose h a)) % 10.54/10.83 (compose h a) = compose h a % 10.54/10.83 |- ifeq (codomain a) (codomain g) % 10.54/10.83 (ifeq (codomain $_1) (codomain a) % 10.54/10.83 (ifeq (compose (codomain $_1) b) $_293 % 10.54/10.83 (ifeq b $_293 (codomain a) (codomain $_1)) (codomain $_1)) % 10.54/10.83 (codomain $_1)) (codomain $_1) = codomain $_1 % 10.54/10.83 |- ifeq (codomain a) (codomain g) % 10.54/10.83 (ifeq (codomain b) (codomain a) % 10.54/10.83 (ifeq (compose (compose a b) b) $_293 % 10.54/10.83 (ifeq b $_293 (codomain a) (compose a b)) (compose a b)) % 10.54/10.83 (compose a b)) (compose a b) = compose a b % 10.54/10.83 |- ifeq (codomain a) (codomain g) % 10.54/10.83 (ifeq (compose g (compose a b)) $_293 % 10.54/10.83 (ifeq b $_293 (codomain a) (compose g a)) (compose g a)) % 10.54/10.83 (compose g a) = compose g a % 10.54/10.83 |- ifeq (codomain a) (codomain g) % 10.54/10.83 (ifeq (codomain b) (codomain a) % 10.54/10.83 (ifeq (compose (compose g (compose a b)) b) $_293 % 10.54/10.83 (ifeq b $_293 (codomain a) (compose g (compose a b))) % 10.54/10.83 (compose g (compose a b))) (compose g (compose a b))) % 10.54/10.83 (compose g (compose a b)) = compose g (compose a b) % 10.54/10.83 |- ifeq (codomain a) (codomain g) % 10.54/10.83 (ifeq (domain $X) (codomain a) % 10.54/10.83 (ifeq (compose (domain $X) b) $_293 % 10.54/10.83 (ifeq b $_293 (codomain a) (domain $X)) (domain $X)) % 10.54/10.83 (domain $X)) (domain $X) = domain $X % 10.54/10.83 |- ifeq (codomain a) (codomain g) % 10.54/10.83 (ifeq (codomain g) (codomain a) % 10.54/10.83 (ifeq (compose h b) $_293 (ifeq b $_293 (codomain a) h) h) h) h = h % 10.54/10.83 |- ifeq (codomain a) (codomain $X) % 10.54/10.83 (compose (compose g a) (compose (codomain a) (codomain $X))) % 10.54/10.83 (compose (compose g a) (codomain $X)) = % 10.54/10.83 compose (compose g a) (codomain $X) % 10.54/10.83 |- ifeq (codomain a) (domain g) % 10.54/10.83 (compose (compose g a) (compose (codomain a) (compose g a))) % 10.54/10.83 (compose (compose g a) (compose g a)) = % 10.54/10.83 compose (compose g a) (compose g a) % 10.54/10.83 |- ifeq (codomain a) (domain g) % 10.54/10.83 (compose (compose g a) % 10.54/10.83 (compose (codomain a) (compose g (compose a b)))) % 10.54/10.83 (compose (compose g a) (compose g (compose a b))) = % 10.54/10.83 compose (compose g a) (compose g (compose a b)) % 10.54/10.83 |- ifeq (codomain a) (domain g) % 10.54/10.83 (compose (compose g a) (compose (codomain a) (compose h a))) % 10.54/10.83 (compose (compose g a) (compose h a)) = % 10.54/10.83 compose (compose g a) (compose h a) % 10.54/10.83 |- ifeq (codomain a) (domain $X) % 10.54/10.83 (compose (compose g a) (compose (codomain a) (domain $X))) % 10.54/10.83 (compose (compose g a) (domain $X)) = % 10.54/10.83 compose (compose g a) (domain $X) % 10.54/10.83 |- ifeq (codomain b) (codomain $X) % 10.54/10.83 (compose (domain g) (compose (compose g (compose a b)) (codomain $X))) % 10.54/10.83 (compose (compose g (compose a b)) (codomain $X)) = % 10.54/10.83 compose (compose g (compose a b)) (codomain $X) % 10.54/10.83 |- ifeq (codomain b) (codomain g) % 10.54/10.83 (compose (domain g) (compose (compose g (compose a b)) (compose a b))) % 10.54/10.83 (compose (compose g (compose a b)) (compose a b)) = % 10.54/10.83 compose (compose g (compose a b)) (compose a b) % 10.54/10.83 |- ifeq (codomain b) (domain g) % 10.54/10.83 (compose (domain g) % 10.54/10.83 (compose (compose g (compose a b)) (compose g (compose a b)))) % 10.54/10.83 (compose (compose g (compose a b)) (compose g (compose a b))) = % 10.54/10.83 compose (compose g (compose a b)) (compose g (compose a b)) % 10.54/10.83 |- ifeq (codomain b) (domain g) % 10.54/10.83 (compose (domain g) (compose (compose g (compose a b)) (compose h a))) % 10.54/10.83 (compose (compose g (compose a b)) (compose h a)) = % 10.54/10.83 compose (compose g (compose a b)) (compose h a) % 10.54/10.83 |- ifeq (codomain b) (domain $X) % 10.54/10.83 (compose (domain g) (compose (compose g (compose a b)) (domain $X))) % 10.54/10.83 (compose (compose g (compose a b)) (domain $X)) = % 10.54/10.83 compose (compose g (compose a b)) (domain $X) % 10.54/10.83 |- ifeq (codomain b) (codomain g) (compose h (compose (compose a b) a)) % 10.54/10.83 (compose (compose g (compose a b)) a) = % 10.54/10.83 compose (compose g (compose a b)) a % 10.54/10.83 |- ifeq (codomain b) (codomain a) (compose h (compose (compose a b) b)) % 10.54/10.83 (compose (compose g (compose a b)) b) = % 10.54/10.83 compose (compose g (compose a b)) b % 10.54/10.84 |- ifeq (codomain b) (codomain $X) % 10.54/10.84 (compose h (compose (compose a b) (codomain $X))) % 10.54/10.84 (compose (compose g (compose a b)) (codomain $X)) = % 10.54/10.84 compose (compose g (compose a b)) (codomain $X) % 10.54/10.84 |- ifeq (codomain b) (codomain g) % 10.54/10.84 (compose h (compose (compose a b) (compose a b))) % 10.54/10.84 (compose (compose g (compose a b)) (compose a b)) = % 10.54/10.84 compose (compose g (compose a b)) (compose a b) % 10.54/10.84 |- ifeq (codomain b) (domain g) % 10.54/10.84 (compose h (compose (compose a b) (compose g a))) % 10.54/10.84 (compose (compose g (compose a b)) (compose g a)) = % 10.54/10.84 compose (compose g (compose a b)) (compose g a) % 10.54/10.84 |- ifeq (codomain b) (domain g) % 10.54/10.84 (compose h (compose (compose a b) (compose g (compose a b)))) % 10.54/10.84 (compose (compose g (compose a b)) (compose g (compose a b))) = % 10.54/10.84 compose (compose g (compose a b)) (compose g (compose a b)) % 10.54/10.84 |- ifeq (codomain b) (domain g) % 10.54/10.84 (compose h (compose (compose a b) (compose h a))) % 10.54/10.84 (compose (compose g (compose a b)) (compose h a)) = % 10.54/10.84 compose (compose g (compose a b)) (compose h a) % 10.54/10.84 |- ifeq (codomain b) (domain $X) % 10.54/10.84 (compose h (compose (compose a b) (domain $X))) % 10.54/10.84 (compose (compose g (compose a b)) (domain $X)) = % 10.54/10.84 compose (compose g (compose a b)) (domain $X) % 10.54/10.84 |- ifeq (codomain b) (domain g) (compose h (compose (compose a b) h)) % 10.54/10.84 (compose (compose g (compose a b)) h) = % 10.54/10.84 compose (compose g (compose a b)) h % 10.54/10.84 |- ifeq (codomain $_1) (domain g) (compose (codomain $_1) (compose g a)) % 10.54/10.84 (compose (compose (codomain $_1) (compose g a)) (codomain a)) = % 10.54/10.84 compose (compose (codomain $_1) (compose g a)) (codomain a) % 10.54/10.84 |- ifeq (codomain b) (domain g) (compose (compose a b) (compose g a)) % 10.54/10.84 (compose (compose (compose a b) (compose g a)) (codomain a)) = % 10.54/10.84 compose (compose (compose a b) (compose g a)) (codomain a) % 10.54/10.84 |- ifeq (codomain a) (domain g) (compose (compose g a) (compose g a)) % 10.54/10.84 (compose (compose (compose g a) (compose g a)) (codomain a)) = % 10.54/10.84 compose (compose (compose g a) (compose g a)) (codomain a) % 10.54/10.84 |- ifeq (codomain b) (domain g) % 10.54/10.84 (compose (compose g (compose a b)) (compose g a)) % 10.54/10.84 (compose (compose (compose g (compose a b)) (compose g a)) % 10.54/10.84 (codomain a)) = % 10.54/10.84 compose (compose (compose g (compose a b)) (compose g a)) (codomain a) % 10.54/10.84 |- ifeq (codomain a) (domain g) (compose (compose h a) (compose g a)) % 10.54/10.84 (compose (compose (compose h a) (compose g a)) (codomain a)) = % 10.54/10.84 compose (compose (compose h a) (compose g a)) (codomain a) % 10.54/10.84 |- ifeq (domain $X) (domain g) (compose (domain $X) (compose g a)) % 10.54/10.84 (compose (compose (domain $X) (compose g a)) (codomain a)) = % 10.54/10.84 compose (compose (domain $X) (compose g a)) (codomain a) % 10.54/10.84 |- ifeq (codomain g) (domain g) (compose h (compose g a)) % 10.54/10.84 (compose (compose h (compose g a)) (codomain a)) = % 10.54/10.84 compose (compose h (compose g a)) (codomain a) % 10.54/10.84 |- ifeq (codomain b) (codomain g) % 10.54/10.84 (ifeq (codomain g) (codomain a) % 10.54/10.84 (ifeq (compose (compose a b) a) a (compose a b) (codomain g)) % 10.54/10.84 (codomain g)) (codomain g) = codomain g % 10.54/10.84 |- ifeq (codomain b) (codomain g) % 10.54/10.84 (ifeq (codomain $_1) (codomain a) % 10.54/10.84 (ifeq (compose (compose a b) a) (compose (codomain $_1) a) % 10.54/10.84 (compose a b) (codomain $_1)) (codomain $_1)) (codomain $_1) = % 10.54/10.84 codomain $_1 % 10.54/10.84 |- ifeq (codomain b) (codomain g) % 10.54/10.84 (ifeq (codomain b) (codomain a) % 10.54/10.84 (ifeq (compose (compose a b) a) % 10.54/10.84 (compose (compose g (compose a b)) a) (compose a b) % 10.54/10.84 (compose g (compose a b))) (compose g (compose a b))) % 10.54/10.84 (compose g (compose a b)) = compose g (compose a b) % 10.54/10.84 |- ifeq (codomain b) (codomain g) % 10.54/10.84 (ifeq (domain $X) (codomain a) % 10.54/10.84 (ifeq (compose (compose a b) a) (compose (domain $X) a) % 10.54/10.84 (compose a b) (domain $X)) (domain $X)) (domain $X) = domain $X % 10.54/10.84 |- ifeq (codomain a) (codomain g) % 10.54/10.84 (ifeq (codomain g) (codomain a) % 10.54/10.84 (ifeq (compose (compose h a) a) a (compose h a) (codomain g)) % 10.54/10.84 (codomain g)) (codomain g) = codomain g % 10.54/10.84 |- ifeq (codomain a) (codomain g) % 10.54/10.84 (ifeq (codomain $_1) (codomain a) % 10.54/10.84 (ifeq (compose (compose h a) a) (compose (codomain $_1) a) % 10.54/10.84 (compose h a) (codomain $_1)) (codomain $_1)) (codomain $_1) = % 10.54/10.84 codomain $_1 % 10.54/10.84 |- ifeq (codomain a) (codomain g) % 10.54/10.84 (ifeq (codomain b) (codomain a) % 10.54/10.84 (ifeq (compose (compose h a) a) (compose (compose a b) a) % 10.54/10.84 (compose h a) (compose a b)) (compose a b)) (compose a b) = % 10.54/10.84 compose a b % 10.54/10.84 |- ifeq (codomain a) (codomain g) % 10.54/10.84 (ifeq (codomain b) (codomain a) % 10.54/10.84 (ifeq (compose (compose h a) a) % 10.54/10.84 (compose (compose g (compose a b)) a) (compose h a) % 10.54/10.84 (compose g (compose a b))) (compose g (compose a b))) % 10.54/10.84 (compose g (compose a b)) = compose g (compose a b) % 10.54/10.84 |- ifeq (codomain a) (codomain g) % 10.54/10.84 (ifeq (domain $X) (codomain a) % 10.54/10.84 (ifeq (compose (compose h a) a) (compose (domain $X) a) % 10.54/10.84 (compose h a) (domain $X)) (domain $X)) (domain $X) = domain $X % 10.54/10.84 |- ifeq (codomain b) (codomain g) % 10.54/10.84 (ifeq (codomain g) (codomain a) % 10.54/10.84 (ifeq a (compose (compose a b) a) (compose a b) (codomain g)) % 10.54/10.84 (codomain g)) (codomain g) = codomain g % 10.54/10.84 |- ifeq (codomain b) (codomain g) % 10.54/10.84 (ifeq (codomain $_1) (codomain a) % 10.54/10.84 (ifeq (compose (codomain $_1) a) (compose (compose a b) a) % 10.54/10.84 (compose a b) (codomain $_1)) (codomain $_1)) (codomain $_1) = % 10.54/10.84 codomain $_1 % 10.54/10.84 |- ifeq (codomain b) (codomain g) % 10.54/10.84 (ifeq (compose (compose g a) a) (compose (compose a b) a) % 10.54/10.84 (compose a b) (compose g a)) (compose g a) = compose g a % 10.54/10.84 |- ifeq (codomain b) (codomain g) % 10.54/10.84 (ifeq (codomain b) (codomain a) % 10.54/10.84 (ifeq (compose (compose g (compose a b)) a) % 10.54/10.84 (compose (compose a b) a) (compose a b) % 10.54/10.84 (compose g (compose a b))) (compose g (compose a b))) % 10.54/10.84 (compose g (compose a b)) = compose g (compose a b) % 10.54/10.84 |- ifeq (codomain b) (codomain g) % 10.54/10.84 (ifeq (compose (compose h a) a) (compose (compose a b) a) % 10.54/10.84 (compose a b) (compose h a)) (compose h a) = compose h a % 10.54/10.84 |- ifeq (codomain b) (codomain g) % 10.54/10.84 (ifeq (domain $X) (codomain a) % 10.54/10.84 (ifeq (compose (domain $X) a) (compose (compose a b) a) % 10.54/10.84 (compose a b) (domain $X)) (domain $X)) (domain $X) = domain $X % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq a (compose (compose g a) a) (compose g a) (codomain g)) % 10.54/10.85 (codomain g)) (codomain g) = codomain g % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain $_1) (codomain a) % 10.54/10.85 (ifeq (compose (codomain $_1) a) (compose (compose g a) a) % 10.54/10.85 (compose g a) (codomain $_1)) (codomain $_1)) (codomain $_1) = % 10.54/10.85 codomain $_1 % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain b) (codomain a) % 10.54/10.85 (ifeq (compose (compose a b) a) (compose (compose g a) a) % 10.54/10.85 (compose g a) (compose a b)) (compose a b)) (compose a b) = % 10.54/10.85 compose a b % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain b) (codomain a) % 10.54/10.85 (ifeq (compose (compose g (compose a b)) a) % 10.54/10.85 (compose (compose g a) a) (compose g a) % 10.54/10.85 (compose g (compose a b))) (compose g (compose a b))) % 10.54/10.85 (compose g (compose a b)) = compose g (compose a b) % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (compose (compose h a) a) (compose (compose g a) a) % 10.54/10.85 (compose g a) (compose h a)) (compose h a) = compose h a % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (domain $X) (codomain a) % 10.54/10.85 (ifeq (compose (domain $X) a) (compose (compose g a) a) % 10.54/10.85 (compose g a) (domain $X)) (domain $X)) (domain $X) = domain $X % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq a (compose (compose h a) a) (compose h a) (codomain g)) % 10.54/10.85 (codomain g)) (codomain g) = codomain g % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain $_1) (codomain a) % 10.54/10.85 (ifeq (compose (codomain $_1) a) (compose (compose h a) a) % 10.54/10.85 (compose h a) (codomain $_1)) (codomain $_1)) (codomain $_1) = % 10.54/10.85 codomain $_1 % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain b) (codomain a) % 10.54/10.85 (ifeq (compose (compose a b) a) (compose (compose h a) a) % 10.54/10.85 (compose h a) (compose a b)) (compose a b)) (compose a b) = % 10.54/10.85 compose a b % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (compose (compose g a) a) (compose (compose h a) a) % 10.54/10.85 (compose h a) (compose g a)) (compose g a) = compose g a % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain b) (codomain a) % 10.54/10.85 (ifeq (compose (compose g (compose a b)) a) % 10.54/10.85 (compose (compose h a) a) (compose h a) % 10.54/10.85 (compose g (compose a b))) (compose g (compose a b))) % 10.54/10.85 (compose g (compose a b)) = compose g (compose a b) % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (domain $X) (codomain a) % 10.54/10.85 (ifeq (compose (domain $X) a) (compose (compose h a) a) % 10.54/10.85 (compose h a) (domain $X)) (domain $X)) (domain $X) = domain $X % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain $_1) (codomain a) % 10.54/10.85 (ifeq (compose (codomain $_1) b) (compose g (compose a b)) % 10.54/10.85 (compose h a) (codomain $_1)) (codomain $_1)) (codomain $_1) = % 10.54/10.85 codomain $_1 % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain b) (codomain a) % 10.54/10.85 (ifeq (compose (compose a b) b) (compose g (compose a b)) % 10.54/10.85 (compose h a) (compose a b)) (compose a b)) (compose a b) = % 10.54/10.85 compose a b % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain b) (codomain a) % 10.54/10.85 (ifeq (compose (compose g (compose a b)) b) % 10.54/10.85 (compose g (compose a b)) (compose h a) % 10.54/10.85 (compose g (compose a b))) (compose g (compose a b))) % 10.54/10.85 (compose g (compose a b)) = compose g (compose a b) % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (domain $X) (codomain a) % 10.54/10.85 (ifeq (compose (domain $X) b) (compose g (compose a b)) % 10.54/10.85 (compose h a) (domain $X)) (domain $X)) (domain $X) = domain $X % 10.54/10.85 |- ifeq (codomain b) (codomain g) % 10.54/10.85 (ifeq (codomain $_1) (codomain a) % 10.54/10.85 (ifeq (compose (codomain $_1) b) (compose (compose a b) b) % 10.54/10.85 (compose a b) (codomain $_1)) (codomain $_1)) (codomain $_1) = % 10.54/10.85 codomain $_1 % 10.54/10.85 |- ifeq (codomain b) (codomain g) % 10.54/10.85 (ifeq (compose g (compose a b)) (compose (compose a b) b) % 10.54/10.85 (compose a b) (compose g a)) (compose g a) = compose g a % 10.54/10.85 |- ifeq (codomain b) (codomain g) % 10.54/10.85 (ifeq (codomain b) (codomain a) % 10.54/10.85 (ifeq (compose (compose g (compose a b)) b) % 10.54/10.85 (compose (compose a b) b) (compose a b) % 10.54/10.85 (compose g (compose a b))) (compose g (compose a b))) % 10.54/10.85 (compose g (compose a b)) = compose g (compose a b) % 10.54/10.85 |- ifeq (codomain b) (codomain g) % 10.54/10.85 (ifeq (domain $X) (codomain a) % 10.54/10.85 (ifeq (compose (domain $X) b) (compose (compose a b) b) % 10.54/10.85 (compose a b) (domain $X)) (domain $X)) (domain $X) = domain $X % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain $_1) (codomain a) % 10.54/10.85 (ifeq (compose (codomain $_1) b) (compose g (compose a b)) % 10.54/10.85 (compose g a) (codomain $_1)) (codomain $_1)) (codomain $_1) = % 10.54/10.85 codomain $_1 % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain b) (codomain a) % 10.54/10.85 (ifeq (compose (compose a b) b) (compose g (compose a b)) % 10.54/10.85 (compose g a) (compose a b)) (compose a b)) (compose a b) = % 10.54/10.85 compose a b % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain b) (codomain a) % 10.54/10.85 (ifeq (compose (compose g (compose a b)) b) % 10.54/10.85 (compose g (compose a b)) (compose g a) % 10.54/10.85 (compose g (compose a b))) (compose g (compose a b))) % 10.54/10.85 (compose g (compose a b)) = compose g (compose a b) % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (domain $X) (codomain a) % 10.54/10.85 (ifeq (compose (domain $X) b) (compose g (compose a b)) % 10.54/10.85 (compose g a) (domain $X)) (domain $X)) (domain $X) = domain $X % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain $_1) (codomain a) % 10.54/10.85 (ifeq (compose g (compose a b)) (compose (codomain $_1) b) % 10.54/10.85 (compose g a) (codomain $_1)) (codomain $_1)) (codomain $_1) = % 10.54/10.85 codomain $_1 % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain b) (codomain a) % 10.54/10.85 (ifeq (compose g (compose a b)) (compose (compose a b) b) % 10.54/10.85 (compose g a) (compose a b)) (compose a b)) (compose a b) = % 10.54/10.85 compose a b % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain b) (codomain a) % 10.54/10.85 (ifeq (compose g (compose a b)) % 10.54/10.85 (compose (compose g (compose a b)) b) (compose g a) % 10.54/10.85 (compose g (compose a b))) (compose g (compose a b))) % 10.54/10.85 (compose g (compose a b)) = compose g (compose a b) % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (domain $X) (codomain a) % 10.54/10.85 (ifeq (compose g (compose a b)) (compose (domain $X) b) % 10.54/10.85 (compose g a) (domain $X)) (domain $X)) (domain $X) = domain $X % 10.54/10.85 |- ifeq (codomain $_1) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq (compose h a) $_312 % 10.54/10.85 (ifeq (compose (codomain $_1) a) $_312 (codomain $_1) h) h) h) % 10.54/10.85 h = h % 10.54/10.85 |- ifeq (codomain b) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq (compose h a) $_312 % 10.54/10.85 (ifeq (compose (compose a b) a) $_312 (compose a b) h) h) h) h = % 10.54/10.85 h % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq (compose h a) $_312 % 10.54/10.85 (ifeq (compose (compose g a) a) $_312 (compose g a) h) h) h) h = % 10.54/10.85 h % 10.54/10.85 |- ifeq (codomain b) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq (compose h a) $_312 % 10.54/10.85 (ifeq (compose (compose g (compose a b)) a) $_312 % 10.54/10.85 (compose g (compose a b)) h) h) h) h = h % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq (compose h a) $_312 % 10.54/10.85 (ifeq (compose (compose h a) a) $_312 (compose h a) h) h) h) h = % 10.54/10.85 h % 10.54/10.85 |- ifeq (domain $X) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq (compose h a) $_312 % 10.54/10.85 (ifeq (compose (domain $X) a) $_312 (domain $X) h) h) h) h = h % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq (compose h b) $_315 % 10.54/10.85 (ifeq (compose g (compose a b)) $_315 (compose h a) h) h) h) h = % 10.54/10.85 h % 10.54/10.85 |- ifeq (codomain $_1) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq (compose h b) $_315 % 10.54/10.85 (ifeq (compose (codomain $_1) b) $_315 (codomain $_1) h) h) h) % 10.54/10.85 h = h % 10.54/10.85 |- ifeq (codomain b) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq (compose h b) $_315 % 10.54/10.85 (ifeq (compose (compose a b) b) $_315 (compose a b) h) h) h) h = % 10.54/10.85 h % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq (compose h b) $_315 % 10.54/10.85 (ifeq (compose g (compose a b)) $_315 (compose g a) h) h) h) h = % 10.54/10.85 h % 10.54/10.85 |- ifeq (codomain b) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq (compose h b) $_315 % 10.54/10.85 (ifeq (compose (compose g (compose a b)) b) $_315 % 10.54/10.85 (compose g (compose a b)) h) h) h) h = h % 10.54/10.85 |- ifeq (domain $X) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq (compose h b) $_315 % 10.54/10.85 (ifeq (compose (domain $X) b) $_315 (domain $X) h) h) h) h = h % 10.54/10.85 |- ifeq (codomain b) (codomain $X) (compose (compose a b) (codomain $X)) % 10.54/10.85 (compose (compose (compose a b) (codomain $X)) (codomain $X)) = % 10.54/10.85 compose (compose (compose a b) (codomain $X)) (codomain $X) % 10.54/10.85 |- ifeq (codomain b) (domain g) % 10.54/10.85 (compose (compose a b) (compose g (compose a b))) % 10.54/10.85 (compose (compose (compose a b) (domain g)) % 10.54/10.85 (compose g (compose a b))) = % 10.54/10.85 compose (compose (compose a b) (domain g)) (compose g (compose a b)) % 10.54/10.85 |- ifeq (codomain b) (domain $X) (compose (compose a b) (domain $X)) % 10.54/10.85 (compose (compose (compose a b) (domain $X)) (domain $X)) = % 10.54/10.85 compose (compose (compose a b) (domain $X)) (domain $X) % 10.54/10.85 |- ifeq (codomain a) (codomain $X) (compose (compose g a) (codomain $X)) % 10.54/10.85 (compose (compose (compose g a) (codomain $X)) (codomain $X)) = % 10.54/10.85 compose (compose (compose g a) (codomain $X)) (codomain $X) % 10.54/10.85 |- ifeq (codomain a) (domain g) % 10.54/10.85 (compose (compose g a) (compose g (compose a b))) % 10.54/10.85 (compose (compose (compose g a) (domain g)) % 10.54/10.85 (compose g (compose a b))) = % 10.54/10.85 compose (compose (compose g a) (domain g)) (compose g (compose a b)) % 10.54/10.85 |- ifeq (codomain a) (domain $X) (compose (compose g a) (domain $X)) % 10.54/10.85 (compose (compose (compose g a) (domain $X)) (domain $X)) = % 10.54/10.85 compose (compose (compose g a) (domain $X)) (domain $X) % 10.54/10.85 |- ifeq (codomain $_1) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq (compose (codomain $_1) a) a (codomain $_1) (codomain g)) % 10.54/10.85 (codomain g)) (codomain g) = codomain g % 10.54/10.85 |- ifeq (codomain a) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq (compose (compose g a) a) a (compose g a) (codomain g)) % 10.54/10.85 (codomain g)) (codomain g) = codomain g % 10.54/10.85 |- ifeq (codomain b) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq (compose (compose g (compose a b)) a) a % 10.54/10.85 (compose g (compose a b)) (codomain g)) (codomain g)) % 10.54/10.85 (codomain g) = codomain g % 10.54/10.85 |- ifeq (domain $X) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq (compose (domain $X) a) a (domain $X) (codomain g)) % 10.54/10.85 (codomain g)) (codomain g) = codomain g % 10.54/10.85 |- ifeq (codomain $_1) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq a (compose (codomain $_1) a) (codomain $_1) (codomain g)) % 10.54/10.85 (codomain g)) (codomain g) = codomain g % 10.54/10.85 |- ifeq (codomain b) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq a (compose (compose g (compose a b)) a) % 10.54/10.85 (compose g (compose a b)) (codomain g)) (codomain g)) % 10.54/10.85 (codomain g) = codomain g % 10.54/10.85 |- ifeq (domain $X) (codomain g) % 10.54/10.85 (ifeq (codomain g) (codomain a) % 10.54/10.85 (ifeq a (compose (domain $X) a) (domain $X) (codomain g)) % 10.54/10.85 (codomain g)) (codomain g) = codomain g % 10.54/10.85 |- ifeq (codomain $_1) (domain g) % 10.54/10.85 (compose (codomain $_1) (compose (codomain $_1) (compose h a))) % 10.54/10.85 (compose (codomain $_1) (compose h a)) = % 10.54/10.85 compose (codomain $_1) (compose h a) % 10.54/10.85 |- ifeq (domain $X) (domain g) % 10.54/10.85 (compose (domain $X) (compose (domain $X) (compose h a))) % 10.54/10.85 (compose (domain $X) (compose h a)) = % 10.54/10.85 compose (domain $X) (compose h a) % 10.54/10.85 |- codomain a = ifeq (compose (codomain a) a) (compose g a) g (codomain a) % 10.54/10.85 |- ifeq (codomain $_346) (codomain $X) % 10.54/10.85 (compose (codomain $_346) (compose (codomain $_346) (codomain $X))) % 10.54/10.85 (compose (codomain $_346) (codomain $X)) = % 10.54/10.85 compose (codomain $_346) (codomain $X) % 10.54/10.85 |- ifeq (codomain $_346) (domain g) % 10.54/10.85 (compose (codomain $_346) % 10.54/10.85 (compose (codomain $_346) (compose g (compose a b)))) % 10.54/10.85 (compose (codomain $_346) (compose g (compose a b))) = % 10.54/10.85 compose (codomain $_346) (compose g (compose a b)) % 10.54/10.85 |- ifeq (codomain $_346) (domain $X) % 10.54/10.85 (compose (codomain $_346) (compose (codomain $_346) (domain $X))) % 10.54/10.85 (compose (codomain $_346) (domain $X)) = % 10.54/10.85 compose (codomain $_346) (domain $X) % 10.54/10.85 |- ifeq (codomain $_348) (codomain g) (compose $_348 a) % 10.54/10.85 (compose (compose $_348 a) (codomain a)) = % 10.54/10.85 compose (compose $_348 a) (codomain a) % 10.54/10.85 |- ifeq (codomain $_348) (codomain a) (compose $_348 b) % 10.54/10.85 (compose (compose $_348 b) (codomain b)) = % 10.54/10.85 compose (compose $_348 b) (codomain b) % 10.54/10.85 |- ifeq (codomain $_1) (domain $_349) (compose (codomain $_1) $_349) % 10.54/10.85 (compose (compose (codomain $_1) $_349) (codomain $_349)) = % 10.54/10.85 compose (compose (codomain $_1) $_349) (codomain $_349) % 10.54/10.85 |- ifeq (codomain b) (domain $_349) (compose (compose a b) $_349) % 10.54/10.85 (compose (compose (compose a b) $_349) (codomain $_349)) = % 10.54/10.85 compose (compose (compose a b) $_349) (codomain $_349) % 10.54/10.85 |- ifeq (codomain a) (domain $_349) (compose (compose g a) $_349) % 10.54/10.85 (compose (compose (compose g a) $_349) (codomain $_349)) = % 10.54/10.85 compose (compose (compose g a) $_349) (codomain $_349) % 10.54/10.85 |- ifeq (codomain b) (domain $_349) % 10.54/10.85 (compose (compose g (compose a b)) $_349) % 10.54/10.85 (compose (compose (compose g (compose a b)) $_349) (codomain $_349)) = % 10.54/10.85 compose (compose (compose g (compose a b)) $_349) (codomain $_349) % 10.54/10.86 |- ifeq (codomain a) (domain $_349) (compose (compose h a) $_349) % 10.54/10.86 (compose (compose (compose h a) $_349) (codomain $_349)) = % 10.54/10.86 compose (compose (compose h a) $_349) (codomain $_349) % 10.54/10.86 |- ifeq (domain $X) (domain $_349) (compose (domain $X) $_349) % 10.54/10.86 (compose (compose (domain $X) $_349) (codomain $_349)) = % 10.54/10.86 compose (compose (domain $X) $_349) (codomain $_349) % 10.54/10.86 |- ifeq (codomain g) (domain $_349) (compose h $_349) % 10.54/10.86 (compose (compose h $_349) (codomain $_349)) = % 10.54/10.86 compose (compose h $_349) (codomain $_349) % 10.54/10.86 |- ifeq (codomain $_1) (codomain a) (compose (codomain $_1) b) % 10.54/10.86 (compose (compose (codomain $_1) b) (codomain b)) = % 10.54/10.86 compose (compose (codomain $_1) b) (codomain b) % 10.54/10.86 |- ifeq (codomain b) (codomain a) (compose (compose a b) b) % 10.54/10.86 (compose (compose (compose a b) b) (codomain b)) = % 10.54/10.86 compose (compose (compose a b) b) (codomain b) % 10.54/10.86 |- ifeq (codomain b) (codomain a) (compose (compose g (compose a b)) b) % 10.54/10.86 (compose (compose (compose g (compose a b)) b) (codomain b)) = % 10.54/10.86 compose (compose (compose g (compose a b)) b) (codomain b) % 10.54/10.86 |- ifeq (domain $X) (codomain a) (compose (domain $X) b) % 10.54/10.86 (compose (compose (domain $X) b) (codomain b)) = % 10.54/10.86 compose (compose (domain $X) b) (codomain b) % 10.54/10.86 |- ifeq (codomain g) (codomain a) (compose h b) % 10.54/10.86 (compose (compose h b) (codomain b)) = % 10.54/10.86 compose (compose h b) (codomain b) % 10.54/10.86 |- ifeq (codomain $_1) (codomain g) (compose (codomain $_1) a) % 10.54/10.86 (compose (compose (codomain $_1) a) (codomain a)) = % 10.54/10.86 compose (compose (codomain $_1) a) (codomain a) % 10.54/10.86 |- ifeq (codomain b) (codomain g) (compose (compose a b) a) % 10.54/10.86 (compose (compose (compose a b) a) (codomain a)) = % 10.54/10.86 compose (compose (compose a b) a) (codomain a) % 10.54/10.86 |- ifeq (codomain a) (codomain g) (compose (compose g a) a) % 10.54/10.86 (compose (compose (compose g a) a) (codomain a)) = % 10.54/10.86 compose (compose (compose g a) a) (codomain a) % 10.54/10.86 |- ifeq (codomain b) (codomain g) (compose (compose g (compose a b)) a) % 10.54/10.86 (compose (compose (compose g (compose a b)) a) (codomain a)) = % 10.54/10.86 compose (compose (compose g (compose a b)) a) (codomain a) % 10.54/10.86 |- ifeq (codomain a) (codomain g) (compose (compose h a) a) % 10.54/10.86 (compose (compose (compose h a) a) (codomain a)) = % 10.54/10.86 compose (compose (compose h a) a) (codomain a) % 10.54/10.86 |- ifeq (domain $X) (codomain g) (compose (domain $X) a) % 10.54/10.86 (compose (compose (domain $X) a) (codomain a)) = % 10.54/10.86 compose (compose (domain $X) a) (codomain a) % 10.54/10.86 |- a = ifeq (compose a b) (compose (codomain g) b) (codomain g) a % 10.54/10.86 |- ifeq (codomain $_1) (domain g) % 10.54/10.86 (compose (codomain $_1) (compose g (compose a b))) % 10.54/10.86 (compose (compose (codomain $_1) (compose g (compose a b))) % 10.54/10.86 (codomain b)) = % 10.54/10.86 compose (compose (codomain $_1) (compose g (compose a b))) (codomain b) % 10.54/10.86 |- ifeq (codomain b) (domain g) % 10.54/10.86 (compose (compose a b) (compose g (compose a b))) % 10.54/10.86 (compose (compose (compose a b) (compose g (compose a b))) % 10.54/10.86 (codomain b)) = % 10.54/10.86 compose (compose (compose a b) (compose g (compose a b))) (codomain b) % 10.54/10.86 |- ifeq (codomain a) (domain g) % 10.54/10.86 (compose (compose g a) (compose g (compose a b))) % 10.54/10.86 (compose (compose (compose g a) (compose g (compose a b))) % 10.54/10.86 (codomain b)) = % 10.54/10.86 compose (compose (compose g a) (compose g (compose a b))) (codomain b) % 10.54/10.86 |- ifeq (codomain b) (domain g) % 10.54/10.86 (compose (compose g (compose a b)) (compose g (compose a b))) % 10.54/10.86 (compose (compose (compose g (compose a b)) (compose g (compose a b))) % 10.54/10.86 (codomain b)) = % 10.54/10.86 compose (compose (compose g (compose a b)) (compose g (compose a b))) % 10.54/10.86 (codomain b) % 10.54/10.86 |- ifeq (codomain a) (domain g) % 10.54/10.86 (compose (compose h a) (compose g (compose a b))) % 10.54/10.86 (compose (compose (compose h a) (compose g (compose a b))) % 10.54/10.86 (codomain b)) = % 10.54/10.86 compose (compose (compose h a) (compose g (compose a b))) (codomain b) % 10.54/10.86 |- ifeq (domain $X) (domain g) % 10.54/10.86 (compose (domain $X) (compose g (compose a b))) % 10.54/10.86 (compose (compose (domain $X) (compose g (compose a b))) % 10.54/10.86 (codomain b)) = % 10.54/10.86 compose (compose (domain $X) (compose g (compose a b))) (codomain b) % 10.54/10.86 |- ifeq (codomain g) (domain g) (compose h (compose g (compose a b))) % 10.54/10.86 (compose (compose h (compose g (compose a b))) (codomain b)) = % 10.54/10.86 compose (compose h (compose g (compose a b))) (codomain b) % 10.54/10.86 |- ifeq (codomain $_1) (domain g) % 10.54/10.86 (compose (codomain $_1) (compose g (compose a b))) % 10.54/10.86 (compose (compose (codomain $_1) (domain g)) % 10.54/10.86 (compose g (compose a b))) = % 10.54/10.86 compose (compose (codomain $_1) (domain g)) (compose g (compose a b)) % 10.54/10.86 |- ifeq (codomain b) (domain g) % 10.54/10.86 (compose (compose g (compose a b)) (compose g (compose a b))) % 10.54/10.86 (compose (compose (compose g (compose a b)) (domain g)) % 10.54/10.86 (compose g (compose a b))) = % 10.54/10.86 compose (compose (compose g (compose a b)) (domain g)) % 10.54/10.86 (compose g (compose a b)) % 10.54/10.86 |- ifeq (codomain a) (domain g) % 10.54/10.86 (compose (compose h a) (compose g (compose a b))) % 10.54/10.86 (compose (compose (compose h a) (domain g)) % 10.54/10.86 (compose g (compose a b))) = % 10.54/10.86 compose (compose (compose h a) (domain g)) (compose g (compose a b)) % 10.54/10.86 |- ifeq (domain $X) (domain g) % 10.54/10.86 (compose (domain $X) (compose g (compose a b))) % 10.54/10.86 (compose (compose (domain $X) (domain g)) (compose g (compose a b))) = % 10.54/10.86 compose (compose (domain $X) (domain g)) (compose g (compose a b)) % 10.54/10.86 |- ifeq (codomain g) (domain g) (compose h (compose g (compose a b))) % 10.54/10.86 (compose (compose h (domain g)) (compose g (compose a b))) = % 10.54/10.86 compose (compose h (domain g)) (compose g (compose a b)) % 10.54/10.86 |- ifeq (codomain $_1) (codomain g) % 10.54/10.86 (ifeq (codomain g) (codomain a) % 10.54/10.86 (ifeq a $_368 % 10.54/10.86 (ifeq (compose (codomain $_1) a) $_368 (codomain $_1) % 10.54/10.86 (codomain g)) (codomain g)) (codomain g)) (codomain g) = % 10.54/10.86 codomain g % 10.54/10.86 |- ifeq (codomain b) (codomain g) % 10.54/10.86 (ifeq (codomain g) (codomain a) % 10.54/10.86 (ifeq a $_368 % 10.54/10.86 (ifeq (compose (compose a b) a) $_368 (compose a b) % 10.54/10.86 (codomain g)) (codomain g)) (codomain g)) (codomain g) = % 10.54/10.86 codomain g % 10.54/10.86 |- ifeq (codomain a) (codomain g) % 10.54/10.86 (ifeq (codomain g) (codomain a) % 10.54/10.86 (ifeq a $_368 % 10.54/10.86 (ifeq (compose (compose g a) a) $_368 (compose g a) % 10.54/10.86 (codomain g)) (codomain g)) (codomain g)) (codomain g) = % 10.54/10.86 codomain g % 10.54/10.87 |- ifeq (codomain b) (codomain g) % 10.54/10.87 (ifeq (codomain g) (codomain a) % 10.54/10.87 (ifeq a $_368 % 10.54/10.87 (ifeq (compose (compose g (compose a b)) a) $_368 % 10.54/10.87 (compose g (compose a b)) (codomain g)) (codomain g)) % 10.54/10.87 (codomain g)) (codomain g) = codomain g % 10.54/10.87 |- ifeq (codomain a) (codomain g) % 10.54/10.87 (ifeq (codomain g) (codomain a) % 10.54/10.87 (ifeq a $_368 % 10.54/10.87 (ifeq (compose (compose h a) a) $_368 (compose h a) % 10.54/10.87 (codomain g)) (codomain g)) (codomain g)) (codomain g) = % 10.54/10.87 codomain g % 10.54/10.87 |- ifeq (domain $X) (codomain g) % 10.54/10.87 (ifeq (codomain g) (codomain a) % 10.54/10.87 (ifeq a $_368 % 10.54/10.87 (ifeq (compose (domain $X) a) $_368 (domain $X) (codomain g)) % 10.54/10.87 (codomain g)) (codomain g)) (codomain g) = codomain g % 10.54/10.87 |- ifeq (codomain g) (codomain $_1) (compose h (codomain $_1)) % 10.54/10.87 (compose (compose h (codomain $_1)) (codomain $_1)) = % 10.54/10.87 compose (compose h (codomain $_1)) (codomain $_1) % 10.54/10.87 |- ifeq (codomain g) (domain $X) (compose h (domain $X)) % 10.54/10.87 (compose (compose h (domain $X)) (domain $X)) = % 10.54/10.87 compose (compose h (domain $X)) (domain $X) % 10.54/10.87 |- codomain a = ifeq (compose (codomain g) b) b (codomain g) (codomain a) % 10.54/10.87 |- ifeq (codomain b) (codomain g) % 10.54/10.87 (ifeq (codomain $_1) (codomain a) % 10.54/10.87 (ifeq (compose (compose g (compose a b)) a) % 10.54/10.87 (compose (codomain $_1) a) (compose g (compose a b)) % 10.54/10.87 (codomain $_1)) (codomain $_1)) (codomain $_1) = codomain $_1 % 10.54/10.87 |- ifeq (codomain b) (codomain g) % 10.54/10.87 (ifeq (codomain b) (codomain a) % 10.54/10.87 (ifeq (compose (compose g (compose a b)) a) % 10.54/10.87 (compose (compose a b) a) (compose g (compose a b)) % 10.54/10.87 (compose a b)) (compose a b)) (compose a b) = compose a b % 10.54/10.87 |- ifeq (codomain b) (codomain g) % 10.54/10.87 (ifeq (domain $X) (codomain a) % 10.54/10.87 (ifeq (compose (compose g (compose a b)) a) (compose (domain $X) a) % 10.54/10.87 (compose g (compose a b)) (domain $X)) (domain $X)) % 10.54/10.87 (domain $X) = domain $X % 10.54/10.87 |- ifeq (codomain b) (codomain g) % 10.54/10.87 (ifeq (codomain $_1) (codomain a) % 10.54/10.87 (ifeq (compose (codomain $_1) b) % 10.54/10.87 (compose (compose g (compose a b)) b) (compose g (compose a b)) % 10.54/10.87 (codomain $_1)) (codomain $_1)) (codomain $_1) = codomain $_1 % 10.54/10.87 |- ifeq (codomain b) (codomain g) % 10.54/10.87 (ifeq (codomain b) (codomain a) % 10.54/10.87 (ifeq (compose (compose a b) b) % 10.54/10.87 (compose (compose g (compose a b)) b) (compose g (compose a b)) % 10.54/10.87 (compose a b)) (compose a b)) (compose a b) = compose a b % 10.54/10.87 |- ifeq (codomain b) (codomain g) % 10.54/10.87 (ifeq (compose g (compose a b)) (compose (compose g (compose a b)) b) % 10.54/10.87 (compose g (compose a b)) (compose g a)) (compose g a) = % 10.54/10.87 compose g a % 10.54/10.87 |- ifeq (codomain b) (codomain g) % 10.54/10.87 (ifeq (domain $X) (codomain a) % 10.54/10.87 (ifeq (compose (domain $X) b) (compose (compose g (compose a b)) b) % 10.54/10.87 (compose g (compose a b)) (domain $X)) (domain $X)) % 10.54/10.87 (domain $X) = domain $X % 10.54/10.87 |- ifeq (codomain b) (codomain g) % 10.54/10.87 (ifeq (compose (compose g (compose a b)) b) (compose g (compose a b)) % 10.54/10.87 (compose g (compose a b)) (compose h a)) (compose h a) = % 10.54/10.87 compose h a % 10.54/10.87 |- ifeq (codomain b) (codomain g) % 10.54/10.87 (ifeq (codomain $_1) (codomain a) % 10.54/10.87 (ifeq (compose (compose g (compose a b)) b) % 10.54/10.87 (compose (codomain $_1) b) (compose g (compose a b)) % 10.54/10.87 (codomain $_1)) (codomain $_1)) (codomain $_1) = codomain $_1 % 10.54/10.87 |- ifeq (codomain b) (codomain g) % 10.54/10.87 (ifeq (codomain b) (codomain a) % 10.54/10.87 (ifeq (compose (compose g (compose a b)) b) % 10.54/10.87 (compose (compose a b) b) (compose g (compose a b)) % 10.54/10.87 (compose a b)) (compose a b)) (compose a b) = compose a b % 10.54/10.87 |- ifeq (codomain b) (codomain g) % 10.54/10.87 (ifeq (domain $X) (codomain a) % 10.54/10.87 (ifeq (compose (compose g (compose a b)) b) (compose (domain $X) b) % 10.54/10.87 (compose g (compose a b)) (domain $X)) (domain $X)) % 10.54/10.87 (domain $X) = domain $X % 10.54/10.87 |- ifeq (codomain b) (codomain g) % 10.54/10.87 (ifeq (codomain $_1) (codomain a) % 10.54/10.87 (ifeq (compose (codomain $_1) a) $_391 % 10.54/10.87 (ifeq (compose (compose a b) a) $_391 (compose a b) % 10.54/10.87 (codomain $_1)) (codomain $_1)) (codomain $_1)) % 10.54/10.87 (codomain $_1) = codomain $_1 % 10.54/10.87 |- ifeq (codomain b) (codomain g) % 10.54/10.87 (ifeq (codomain b) (codomain a) % 10.54/10.87 (ifeq (compose (compose a b) a) $_391 % 10.54/10.87 (ifeq (compose (compose a b) a) $_391 (compose a b) % 10.54/10.87 (compose a b)) (compose a b)) (compose a b)) (compose a b) = % 10.54/10.87 compose a b % 10.54/10.87 |- ifeq (codomain b) (codomain g) % 10.54/10.87 (ifeq (compose (compose g a) a) $_391 % 10.54/10.87 (ifeq (compose (compose a b) a) $_391 (compose a b) (compose g a)) % 10.54/10.87 (compose g a)) (compose g a) = compose g a % 10.54/10.87 |- ifeq (codomain b) (codomain g) % 10.54/10.87 (ifeq (codomain b) (codomain a) % 10.54/10.87 (ifeq (compose (compose g (compose a b)) a) $_391 % 10.54/10.87 (ifeq (compose (compose a b) a) $_391 (compose a b) % 10.54/10.87 (compose g (compose a b))) (compose g (compose a b))) % 10.54/10.87 (compose g (compose a b))) (compose g (compose a b)) = % 10.54/10.87 compose g (compose a b) % 10.63/10.87 |- ifeq (codomain b) (codomain g) % 10.63/10.87 (ifeq (compose (compose h a) a) $_391 % 10.63/10.87 (ifeq (compose (compose a b) a) $_391 (compose a b) (compose h a)) % 10.63/10.87 (compose h a)) (compose h a) = compose h a % 10.63/10.87 |- ifeq (codomain b) (codomain g) % 10.63/10.87 (ifeq (domain $X) (codomain a) % 10.63/10.87 (ifeq (compose (domain $X) a) $_391 % 10.63/10.87 (ifeq (compose (compose a b) a) $_391 (compose a b) (domain $X)) % 10.63/10.87 (domain $X)) (domain $X)) (domain $X) = domain $X % 10.63/10.87 |- ifeq (codomain a) (codomain g) % 10.63/10.87 (ifeq (codomain $_1) (codomain a) % 10.63/10.87 (ifeq (compose (codomain $_1) a) $_393 % 10.63/10.87 (ifeq (compose (compose g a) a) $_393 (compose g a) % 10.63/10.87 (codomain $_1)) (codomain $_1)) (codomain $_1)) % 10.63/10.87 (codomain $_1) = codomain $_1 % 10.63/10.87 |- ifeq (codomain a) (codomain g) % 10.63/10.87 (ifeq (codomain b) (codomain a) % 10.63/10.87 (ifeq (compose (compose a b) a) $_393 % 10.63/10.87 (ifeq (compose (compose g a) a) $_393 (compose g a) % 10.63/10.87 (compose a b)) (compose a b)) (compose a b)) (compose a b) = % 10.63/10.87 compose a b % 10.63/10.87 |- ifeq (codomain a) (codomain g) % 10.63/10.87 (ifeq (compose (compose g a) a) $_393 % 10.63/10.87 (ifeq (compose (compose g a) a) $_393 (compose g a) (compose g a)) % 10.63/10.87 (compose g a)) (compose g a) = compose g a % 10.63/10.87 |- ifeq (codomain a) (codomain g) % 10.63/10.87 (ifeq (codomain b) (codomain a) % 10.63/10.87 (ifeq (compose (compose g (compose a b)) a) $_393 % 10.63/10.87 (ifeq (compose (compose g a) a) $_393 (compose g a) % 10.63/10.87 (compose g (compose a b))) (compose g (compose a b))) % 10.63/10.87 (compose g (compose a b))) (compose g (compose a b)) = % 10.63/10.87 compose g (compose a b) % 10.63/10.87 |- ifeq (codomain a) (codomain g) % 10.63/10.87 (ifeq (compose (compose h a) a) $_393 % 10.63/10.87 (ifeq (compose (compose g a) a) $_393 (compose g a) (compose h a)) % 10.63/10.87 (compose h a)) (compose h a) = compose h a % 10.63/10.87 |- ifeq (codomain a) (codomain g) % 10.63/10.87 (ifeq (domain $X) (codomain a) % 10.63/10.87 (ifeq (compose (domain $X) a) $_393 % 10.63/10.87 (ifeq (compose (compose g a) a) $_393 (compose g a) (domain $X)) % 10.63/10.87 (domain $X)) (domain $X)) (domain $X) = domain $X % 10.63/10.87 |- ifeq (codomain a) (codomain g) % 10.63/10.87 (ifeq (codomain $_1) (codomain a) % 10.63/10.87 (ifeq (compose (codomain $_1) a) $_395 % 10.63/10.87 (ifeq (compose (compose h a) a) $_395 (compose h a) % 10.63/10.87 (codomain $_1)) (codomain $_1)) (codomain $_1)) % 10.63/10.87 (codomain $_1) = codomain $_1 % 10.63/10.87 |- ifeq (codomain a) (codomain g) % 10.63/10.87 (ifeq (codomain b) (codomain a) % 10.63/10.87 (ifeq (compose (compose a b) a) $_395 % 10.63/10.87 (ifeq (compose (compose h a) a) $_395 (compose h a) % 10.63/10.87 (compose a b)) (compose a b)) (compose a b)) (compose a b) = % 10.63/10.87 compose a b % 10.63/10.87 |- ifeq (codomain a) (codomain g) % 10.63/10.87 (ifeq (compose (compose g a) a) $_395 % 10.63/10.87 (ifeq (compose (compose h a) a) $_395 (compose h a) (compose g a)) % 10.63/10.87 (compose g a)) (compose g a) = compose g a % 10.63/10.87 |- ifeq (codomain a) (codomain g) % 10.63/10.87 (ifeq (codomain b) (codomain a) % 10.63/10.87 (ifeq (compose (compose g (compose a b)) a) $_395 % 10.63/10.87 (ifeq (compose (compose h a) a) $_395 (compose h a) % 10.63/10.87 (compose g (compose a b))) (compose g (compose a b))) % 10.63/10.87 (compose g (compose a b))) (compose g (compose a b)) = % 10.63/10.87 compose g (compose a b) % 10.63/10.87 |- ifeq (codomain a) (codomain g) % 10.63/10.87 (ifeq (compose (compose h a) a) $_395 % 10.63/10.87 (ifeq (compose (compose h a) a) $_395 (compose h a) (compose h a)) % 10.63/10.87 (compose h a)) (compose h a) = compose h a % 10.63/10.87 |- ifeq (codomain a) (codomain g) % 10.63/10.87 (ifeq (domain $X) (codomain a) % 10.63/10.87 (ifeq (compose (domain $X) a) $_395 % 10.63/10.87 (ifeq (compose (compose h a) a) $_395 (compose h a) (domain $X)) % 10.63/10.87 (domain $X)) (domain $X)) (domain $X) = domain $X % 10.63/10.87 |- ifeq (codomain b) (codomain g) % 10.63/10.87 (ifeq (compose g (compose a b)) $_397 % 10.63/10.87 (ifeq (compose (compose a b) b) $_397 (compose a b) (compose h a)) % 10.63/10.87 (compose h a)) (compose h a) = compose h a % 10.63/10.87 |- ifeq (codomain b) (codomain g) % 10.63/10.87 (ifeq (codomain $_1) (codomain a) % 10.63/10.87 (ifeq (compose (codomain $_1) b) $_397 % 10.63/10.87 (ifeq (compose (compose a b) b) $_397 (compose a b) % 10.63/10.87 (codomain $_1)) (codomain $_1)) (codomain $_1)) % 10.63/10.87 (codomain $_1) = codomain $_1 % 10.63/10.87 |- ifeq (codomain b) (codomain g) % 10.63/10.87 (ifeq (codomain b) (codomain a) % 10.63/10.87 (ifeq (compose (compose a b) b) $_397 % 10.63/10.87 (ifeq (compose (compose a b) b) $_397 (compose a b) % 10.63/10.87 (compose a b)) (compose a b)) (compose a b)) (compose a b) = % 10.63/10.87 compose a b % 10.63/10.87 |- ifeq (codomain b) (codomain g) % 10.63/10.87 (ifeq (compose g (compose a b)) $_397 % 10.63/10.87 (ifeq (compose (compose a b) b) $_397 (compose a b) (compose g a)) % 10.63/10.87 (compose g a)) (compose g a) = compose g a % 10.63/10.87 |- ifeq (codomain b) (codomain g) % 10.63/10.87 (ifeq (codomain b) (codomain a) % 10.63/10.87 (ifeq (compose (compose g (compose a b)) b) $_397 % 10.63/10.87 (ifeq (compose (compose a b) b) $_397 (compose a b) % 10.63/10.87 (compose g (compose a b))) (compose g (compose a b))) % 10.63/10.87 (compose g (compose a b))) (compose g (compose a b)) = % 10.63/10.87 compose g (compose a b) % 10.63/10.87 |- ifeq (codomain b) (codomain g) % 10.63/10.87 (ifeq (domain $X) (codomain a) % 10.63/10.87 (ifeq (compose (domain $X) b) $_397 % 10.63/10.87 (ifeq (compose (compose a b) b) $_397 (compose a b) (domain $X)) % 10.63/10.87 (domain $X)) (domain $X)) (domain $X) = domain $X % 10.63/10.87 |- ifeq (codomain a) (codomain g) % 10.63/10.87 (ifeq (compose g (compose a b)) $_399 % 10.63/10.87 (ifeq (compose g (compose a b)) $_399 (compose g a) (compose h a)) % 10.63/10.87 (compose h a)) (compose h a) = compose h a % 10.63/10.87 |- ifeq (codomain a) (codomain g) % 10.63/10.87 (ifeq (codomain $_1) (codomain a) % 10.63/10.87 (ifeq (compose (codomain $_1) b) $_399 % 10.63/10.87 (ifeq (compose g (compose a b)) $_399 (compose g a) % 10.63/10.87 (codomain $_1)) (codomain $_1)) (codomain $_1)) % 10.63/10.87 (codomain $_1) = codomain $_1 % 10.63/10.87 |- ifeq (codomain a) (codomain g) % 10.63/10.87 (ifeq (codomain b) (codomain a) % 10.63/10.87 (ifeq (compose (compose a b) b) $_399 % 10.63/10.87 (ifeq (compose g (compose a b)) $_399 (compose g a) % 10.63/10.87 (compose a b)) (compose a b)) (compose a b)) (compose a b) = % 10.63/10.87 compose a b % 10.63/10.88 |- ifeq (codomain a) (codomain g) % 10.63/10.88 (ifeq (codomain b) (codomain a) % 10.63/10.88 (ifeq (compose (compose g (compose a b)) b) $_399 % 10.63/10.88 (ifeq (compose g (compose a b)) $_399 (compose g a) % 10.63/10.88 (compose g (compose a b))) (compose g (compose a b))) % 10.63/10.88 (compose g (compose a b))) (compose g (compose a b)) = % 10.63/10.88 compose g (compose a b) % 10.63/10.88 |- ifeq (codomain a) (codomain g) % 10.63/10.88 (ifeq (compose g (compose a b)) $_399 % 10.63/10.88 (ifeq (compose g (compose a b)) $_399 (compose g a) (compose g a)) % 10.63/10.88 (compose g a)) (compose g a) = compose g a % 10.63/10.88 |- ifeq (codomain a) (codomain g) % 10.63/10.88 (ifeq (domain $X) (codomain a) % 10.63/10.88 (ifeq (compose (domain $X) b) $_399 % 10.63/10.88 (ifeq (compose g (compose a b)) $_399 (compose g a) (domain $X)) % 10.63/10.88 (domain $X)) (domain $X)) (domain $X) = domain $X % 10.63/10.88 |- ifeq (codomain a) (codomain g) % 10.63/10.88 (ifeq (compose g (compose a b)) $_401 % 10.63/10.88 (ifeq (compose g (compose a b)) $_401 (compose h a) (compose h a)) % 10.63/10.88 (compose h a)) (compose h a) = compose h a % 10.63/10.88 |- ifeq (codomain a) (codomain g) % 10.63/10.88 (ifeq (codomain $_1) (codomain a) % 10.63/10.88 (ifeq (compose (codomain $_1) b) $_401 % 10.63/10.88 (ifeq (compose g (compose a b)) $_401 (compose h a) % 10.63/10.88 (codomain $_1)) (codomain $_1)) (codomain $_1)) % 10.63/10.88 (codomain $_1) = codomain $_1 % 10.63/10.88 |- ifeq (codomain a) (codomain g) % 10.63/10.88 (ifeq (codomain b) (codomain a) % 10.63/10.88 (ifeq (compose (compose a b) b) $_401 % 10.63/10.88 (ifeq (compose g (compose a b)) $_401 (compose h a) % 10.63/10.88 (compose a b)) (compose a b)) (compose a b)) (compose a b) = % 10.63/10.88 compose a b % 10.63/10.88 |- ifeq (codomain a) (codomain g) % 10.63/10.88 (ifeq (compose g (compose a b)) $_401 % 10.63/10.88 (ifeq (compose g (compose a b)) $_401 (compose h a) (compose g a)) % 10.63/10.88 (compose g a)) (compose g a) = compose g a % 10.63/10.88 |- ifeq (codomain a) (codomain g) % 10.63/10.88 (ifeq (codomain b) (codomain a) % 10.63/10.88 (ifeq (compose (compose g (compose a b)) b) $_401 % 10.63/10.88 (ifeq (compose g (compose a b)) $_401 (compose h a) % 10.63/10.88 (compose g (compose a b))) (compose g (compose a b))) % 10.63/10.88 (compose g (compose a b))) (compose g (compose a b)) = % 10.63/10.88 compose g (compose a b) % 10.63/10.88 |- ifeq (codomain a) (codomain g) % 10.63/10.88 (ifeq (domain $X) (codomain a) % 10.63/10.88 (ifeq (compose (domain $X) b) $_401 % 10.63/10.88 (ifeq (compose g (compose a b)) $_401 (compose h a) (domain $X)) % 10.63/10.88 (domain $X)) (domain $X)) (domain $X) = domain $X % 10.63/10.88 |- ifeq (codomain $_1) (codomain g) % 10.63/10.88 (ifeq (compose (compose g a) a) (compose (codomain $_1) a) % 10.63/10.88 (codomain $_1) (compose g a)) (compose g a) = compose g a % 10.63/10.88 |- ifeq (codomain b) (codomain g) % 10.63/10.88 (ifeq (compose (compose g a) a) (compose (compose g (compose a b)) a) % 10.63/10.88 (compose g (compose a b)) (compose g a)) (compose g a) = % 10.63/10.88 compose g a % 10.63/10.88 |- ifeq (domain $X) (codomain g) % 10.63/10.88 (ifeq (compose (compose g a) a) (compose (domain $X) a) (domain $X) % 10.63/10.88 (compose g a)) (compose g a) = compose g a % 10.63/10.88 |- ifeq (codomain $_1) (codomain g) % 10.63/10.88 (ifeq (compose (compose h a) a) (compose (codomain $_1) a) % 10.63/10.88 (codomain $_1) (compose h a)) (compose h a) = compose h a % 10.63/10.88 |- ifeq (codomain b) (codomain g) % 10.63/10.88 (ifeq (compose (compose h a) a) (compose (compose g (compose a b)) a) % 10.63/10.88 (compose g (compose a b)) (compose h a)) (compose h a) = % 10.63/10.88 compose h a % 10.63/10.88 |- ifeq (domain $X) (codomain g) % 10.63/10.88 (ifeq (compose (compose h a) a) (compose (domain $X) a) (domain $X) % 10.63/10.88 (compose h a)) (compose h a) = compose h a % 10.63/10.88 |- ifeq (codomain $_1) (codomain g) % 10.63/10.88 (ifeq (compose g (compose a b)) (compose (codomain $_1) b) % 10.63/10.88 (codomain $_1) (compose g a)) (compose g a) = compose g a % 10.63/10.88 |- ifeq (domain $X) (codomain g) % 10.63/10.88 (ifeq (compose g (compose a b)) (compose (domain $X) b) (domain $X) % 10.63/10.88 (compose g a)) (compose g a) = compose g a % 10.63/10.88 |- compose g a = % 10.63/10.88 ifeq (compose g (compose a b)) (compose (codomain g) b) (codomain g) % 10.63/10.88 (compose g a) % 10.63/10.88 |- ifeq (codomain $_1) (codomain g) % 10.63/10.88 (ifeq (compose (codomain $_1) b) (compose g (compose a b)) % 10.63/10.88 (codomain $_1) (compose h a)) (compose h a) = compose h a % 10.63/10.88 |- ifeq (codomain b) (codomain g) % 10.63/10.88 (ifeq (compose (compose a b) b) (compose g (compose a b)) % 10.63/10.88 (compose a b) (compose h a)) (compose h a) = compose h a % 10.63/10.88 |- ifeq (domain $X) (codomain g) % 10.63/10.88 (ifeq (compose (domain $X) b) (compose g (compose a b)) (domain $X) % 10.63/10.88 (compose h a)) (compose h a) = compose h a % 10.63/10.88 |- compose h a = % 10.63/10.88 ifeq (compose (codomain g) b) (compose g (compose a b)) (codomain g) % 10.63/10.88 (compose h a) % 10.63/10.88 |- ifeq (codomain a) (codomain $X) (compose (compose h a) (codomain $X)) % 10.63/10.88 (compose (compose (compose h a) (codomain $X)) (codomain $X)) = % 10.63/10.88 compose (compose (compose h a) (codomain $X)) (codomain $X) % 10.63/10.88 |- ifeq (codomain a) (domain $X) (compose (compose h a) (domain $X)) % 10.63/10.88 (compose (compose (compose h a) (domain $X)) (domain $X)) = % 10.63/10.88 compose (compose (compose h a) (domain $X)) (domain $X) % 10.63/10.88 |- ifeq (domain $X) (domain g) % 10.63/10.88 (compose (domain $X) (compose (domain $X) (compose g (compose a b)))) % 10.63/10.88 (compose (domain $X) (compose g (compose a b))) = % 10.63/10.88 compose (domain $X) (compose g (compose a b)) % 10.63/10.88 |- ifeq (codomain b) (codomain g) (compose (compose h a) (compose b a)) % 10.63/10.88 (compose (compose g (compose a b)) a) = % 10.63/10.88 compose (compose g (compose a b)) a % 10.63/10.88 |- ifeq (codomain b) (codomain a) (compose (compose h a) (compose b b)) % 10.63/10.88 (compose (compose g (compose a b)) b) = % 10.63/10.88 compose (compose g (compose a b)) b % 10.63/10.88 |- ifeq (codomain b) (codomain $X) % 10.63/10.88 (compose (compose h a) (compose b (codomain $X))) % 10.63/10.88 (compose (compose g (compose a b)) (codomain $X)) = % 10.63/10.88 compose (compose g (compose a b)) (codomain $X) % 10.63/10.88 |- ifeq (codomain b) (codomain g) % 10.63/10.88 (compose (compose h a) (compose b (compose a b))) % 10.63/10.88 (compose (compose g (compose a b)) (compose a b)) = % 10.63/10.88 compose (compose g (compose a b)) (compose a b) % 10.63/10.88 |- ifeq (codomain b) (domain g) % 10.63/10.88 (compose (compose h a) (compose b (compose g a))) % 10.63/10.88 (compose (compose g (compose a b)) (compose g a)) = % 10.63/10.88 compose (compose g (compose a b)) (compose g a) % 10.63/10.88 |- ifeq (codomain b) (domain g) % 10.63/10.88 (compose (compose h a) (compose b (compose g (compose a b)))) % 10.63/10.88 (compose (compose g (compose a b)) (compose g (compose a b))) = % 10.63/10.88 compose (compose g (compose a b)) (compose g (compose a b)) % 10.63/10.88 |- ifeq (codomain b) (domain g) % 10.63/10.88 (compose (compose h a) (compose b (compose h a))) % 10.63/10.88 (compose (compose g (compose a b)) (compose h a)) = % 10.63/10.88 compose (compose g (compose a b)) (compose h a) % 10.63/10.88 |- ifeq (codomain b) (domain $X) % 10.63/10.88 (compose (compose h a) (compose b (domain $X))) % 10.63/10.88 (compose (compose g (compose a b)) (domain $X)) = % 10.63/10.88 compose (compose g (compose a b)) (domain $X) % 10.63/10.88 |- ifeq (codomain b) (domain g) (compose (compose h a) (compose b h)) % 10.63/10.88 (compose (compose g (compose a b)) h) = % 10.63/10.88 compose (compose g (compose a b)) h % 10.63/10.88 |- compose h a = % 10.63/10.88 ifeq (compose g (compose a b)) (compose (codomain g) b) (codomain g) % 10.63/10.88 (compose h a) % 10.63/10.88 |- ifeq (domain $_440) (codomain $X) % 10.63/10.88 (compose (domain $_440) (compose (domain $_440) (codomain $X))) % 10.63/10.88 (compose (domain $_440) (codomain $X)) = % 10.63/10.88 compose (domain $_440) (codomain $X) % 10.63/10.88 |- ifeq (domain $_440) (domain $X) % 10.63/10.88 (compose (domain $_440) (compose (domain $_440) (domain $X))) % 10.63/10.88 (compose (domain $_440) (domain $X)) = % 10.63/10.88 compose (domain $_440) (domain $X) % 10.63/10.88 |- ifeq (codomain $_1) (codomain $_443) % 10.63/10.88 (compose (codomain $_1) (codomain $_443)) % 10.63/10.88 (compose (compose (codomain $_1) (codomain $_443)) (codomain $_443)) = % 10.63/10.88 compose (compose (codomain $_1) (codomain $_443)) (codomain $_443) % 10.63/10.88 |- ifeq (codomain b) (codomain $_443) % 10.63/10.88 (compose (compose g (compose a b)) (codomain $_443)) % 10.63/10.88 (compose (compose (compose g (compose a b)) (codomain $_443)) % 10.63/10.88 (codomain $_443)) = % 10.63/10.88 compose (compose (compose g (compose a b)) (codomain $_443)) % 10.63/10.88 (codomain $_443) % 10.63/10.88 |- ifeq (domain $X) (codomain $_443) (compose (domain $X) (codomain $_443)) % 10.63/10.88 (compose (compose (domain $X) (codomain $_443)) (codomain $_443)) = % 10.63/10.88 compose (compose (domain $X) (codomain $_443)) (codomain $_443) % 10.63/10.88 |- ifeq (codomain $_1) (domain $_445) % 10.63/10.88 (compose (codomain $_1) (domain $_445)) % 10.63/10.88 (compose (compose (codomain $_1) (domain $_445)) (domain $_445)) = % 10.63/10.88 compose (compose (codomain $_1) (domain $_445)) (domain $_445) % 10.63/10.88 |- ifeq (codomain b) (domain $_445) % 10.63/10.88 (compose (compose g (compose a b)) (domain $_445)) % 10.63/10.88 (compose (compose (compose g (compose a b)) (domain $_445)) % 10.63/10.88 (domain $_445)) = % 10.63/10.88 compose (compose (compose g (compose a b)) (domain $_445)) % 10.63/10.88 (domain $_445) % 10.63/10.88 |- ifeq (domain $X) (domain $_445) (compose (domain $X) (domain $_445)) % 10.63/10.88 (compose (compose (domain $X) (domain $_445)) (domain $_445)) = % 10.63/10.88 compose (compose (domain $X) (domain $_445)) (domain $_445) % 10.63/10.88 |- ifeq (codomain $_1) (codomain g) % 10.63/10.88 (ifeq (compose g (compose a b)) $_478 % 10.63/10.88 (ifeq (compose (codomain $_1) b) $_478 (codomain $_1) % 10.63/10.88 (compose g a)) (compose g a)) (compose g a) = compose g a % 10.63/10.88 |- ifeq (codomain b) (codomain g) % 10.63/10.88 (ifeq (compose g (compose a b)) $_478 % 10.63/10.88 (ifeq (compose (compose g (compose a b)) b) $_478 % 10.63/10.88 (compose g (compose a b)) (compose g a)) (compose g a)) % 10.63/10.88 (compose g a) = compose g a % 10.63/10.88 |- ifeq (domain $X) (codomain g) % 10.63/10.88 (ifeq (compose g (compose a b)) $_478 % 10.63/10.88 (ifeq (compose (domain $X) b) $_478 (domain $X) (compose g a)) % 10.63/10.88 (compose g a)) (compose g a) = compose g a % 10.63/10.88 |- h = % 10.63/10.88 ifeq (codomain g) (codomain a) % 10.63/10.88 (ifeq (compose h b) (compose (codomain g) b) (codomain g) h) h % 10.63/10.88 |- h = % 10.63/10.88 ifeq (codomain g) (codomain a) % 10.63/10.88 (ifeq (compose (codomain g) b) (compose h b) (codomain g) h) h % 10.63/10.88 |- a = % 10.63/10.88 ifeq (compose a b) $_486 % 10.63/10.88 (ifeq (compose (codomain g) b) $_486 (codomain g) a) a % 10.63/10.88 |- ifeq (codomain b) (codomain g) % 10.63/10.88 (ifeq (codomain $_1) (codomain a) % 10.63/10.88 (ifeq (compose (codomain $_1) a) $_514 % 10.63/10.88 (ifeq (compose (compose g (compose a b)) a) $_514 % 10.63/10.88 (compose g (compose a b)) (codomain $_1)) (codomain $_1)) % 10.63/10.88 (codomain $_1)) (codomain $_1) = codomain $_1 % 10.63/10.88 |- ifeq (codomain b) (codomain g) % 10.63/10.88 (ifeq (codomain b) (codomain a) % 10.63/10.88 (ifeq (compose (compose a b) a) $_514 % 10.63/10.88 (ifeq (compose (compose g (compose a b)) a) $_514 % 10.63/10.88 (compose g (compose a b)) (compose a b)) (compose a b)) % 10.63/10.88 (compose a b)) (compose a b) = compose a b % 10.63/10.88 |- ifeq (codomain b) (codomain g) % 10.63/10.88 (ifeq (compose (compose g a) a) $_514 % 10.63/10.88 (ifeq (compose (compose g (compose a b)) a) $_514 % 10.63/10.88 (compose g (compose a b)) (compose g a)) (compose g a)) % 10.63/10.88 (compose g a) = compose g a % 10.63/10.88 |- ifeq (codomain b) (codomain g) % 10.63/10.88 (ifeq (codomain b) (codomain a) % 10.63/10.88 (ifeq (compose (compose g (compose a b)) a) $_514 % 10.63/10.88 (ifeq (compose (compose g (compose a b)) a) $_514 % 10.63/10.88 (compose g (compose a b)) (compose g (compose a b))) % 10.63/10.88 (compose g (compose a b))) (compose g (compose a b))) % 10.63/10.88 (compose g (compose a b)) = compose g (compose a b) % 10.63/10.88 |- ifeq (codomain b) (codomain g) % 10.63/10.88 (ifeq (compose (compose h a) a) $_514 % 10.63/10.88 (ifeq (compose (compose g (compose a b)) a) $_514 % 10.63/10.88 (compose g (compose a b)) (compose h a)) (compose h a)) % 10.63/10.88 (compose h a) = compose h a % 10.63/10.88 |- ifeq (codomain b) (codomain g) % 10.63/10.88 (ifeq (domain $X) (codomain a) % 10.63/10.88 (ifeq (compose (domain $X) a) $_514 % 10.63/10.88 (ifeq (compose (compose g (compose a b)) a) $_514 % 10.63/10.88 (compose g (compose a b)) (domain $X)) (domain $X)) % 10.63/10.88 (domain $X)) (domain $X) = domain $X % 10.63/10.88 |- ifeq (codomain b) (codomain g) % 10.63/10.88 (ifeq (compose g (compose a b)) $_518 % 10.63/10.88 (ifeq (compose (compose g (compose a b)) b) $_518 % 10.63/10.88 (compose g (compose a b)) (compose h a)) (compose h a)) % 10.63/10.88 (compose h a) = compose h a % 10.63/10.88 |- ifeq (codomain b) (codomain g) % 10.63/10.88 (ifeq (codomain $_1) (codomain a) % 10.63/10.88 (ifeq (compose (codomain $_1) b) $_518 % 10.63/10.88 (ifeq (compose (compose g (compose a b)) b) $_518 % 10.63/10.88 (compose g (compose a b)) (codomain $_1)) (codomain $_1)) % 10.63/10.88 (codomain $_1)) (codomain $_1) = codomain $_1 % 10.63/10.88 |- ifeq (codomain b) (codomain g) % 10.63/10.88 (ifeq (codomain b) (codomain a) % 10.63/10.88 (ifeq (compose (compose a b) b) $_518 % 10.63/10.88 (ifeq (compose (compose g (compose a b)) b) $_518 % 10.63/10.88 (compose g (compose a b)) (compose a b)) (compose a b)) % 10.63/10.88 (compose a b)) (compose a b) = compose a b % 10.63/10.88 |- ifeq (codomain b) (codomain g) % 10.63/10.88 (ifeq (codomain b) (codomain a) % 10.63/10.88 (ifeq (compose (compose g (compose a b)) b) $_518 % 10.63/10.88 (ifeq (compose (compose g (compose a b)) b) $_518 % 10.63/10.88 (compose g (compose a b)) (compose g (compose a b))) % 10.63/10.88 (compose g (compose a b))) (compose g (compose a b))) % 10.63/10.88 (compose g (compose a b)) = compose g (compose a b) % 10.63/10.88 |- ifeq (codomain b) (codomain g) % 10.63/10.88 (ifeq (domain $X) (codomain a) % 10.63/10.88 (ifeq (compose (domain $X) b) $_518 % 10.63/10.88 (ifeq (compose (compose g (compose a b)) b) $_518 % 10.63/10.88 (compose g (compose a b)) (domain $X)) (domain $X)) % 10.63/10.88 (domain $X)) (domain $X) = domain $X % 10.63/10.88 |- codomain a = % 10.63/10.88 ifeq (compose (codomain a) a) $_529 % 10.63/10.88 (ifeq a $_529 (codomain g) (codomain a)) (codomain a) % 10.63/10.88 |- ifeq (codomain $_1) (codomain g) % 10.63/10.88 (ifeq (compose (compose g a) a) $_533 % 10.63/10.88 (ifeq (compose (codomain $_1) a) $_533 (codomain $_1) % 10.63/10.88 (compose g a)) (compose g a)) (compose g a) = compose g a % 10.63/10.88 |- ifeq (domain $X) (codomain g) % 10.63/10.88 (ifeq (compose (compose g a) a) $_533 % 10.63/10.88 (ifeq (compose (domain $X) a) $_533 (domain $X) (compose g a)) % 10.63/10.88 (compose g a)) (compose g a) = compose g a % 10.63/10.89 |- ifeq (codomain $_1) (codomain g) % 10.63/10.89 (ifeq (compose (compose h a) a) $_535 % 10.63/10.89 (ifeq (compose (codomain $_1) a) $_535 (codomain $_1) % 10.63/10.89 (compose h a)) (compose h a)) (compose h a) = compose h a % 10.63/10.89 |- ifeq (domain $X) (codomain g) % 10.63/10.89 (ifeq (compose (compose h a) a) $_535 % 10.63/10.89 (ifeq (compose (domain $X) a) $_535 (domain $X) (compose h a)) % 10.63/10.89 (compose h a)) (compose h a) = compose h a % 10.63/10.89 |- ifeq (codomain $_1) (codomain g) % 10.63/10.89 (ifeq (compose g (compose a b)) $_538 % 10.63/10.89 (ifeq (compose (codomain $_1) b) $_538 (codomain $_1) % 10.63/10.89 (compose h a)) (compose h a)) (compose h a) = compose h a % 10.63/10.89 |- ifeq (domain $X) (codomain g) % 10.63/10.89 (ifeq (compose g (compose a b)) $_538 % 10.63/10.89 (ifeq (compose (domain $X) b) $_538 (domain $X) (compose h a)) % 10.63/10.89 (compose h a)) (compose h a) = compose h a % 10.63/10.89 |- ifeq (codomain $_1) (codomain g) % 10.63/10.89 (ifeq (codomain b) (codomain a) % 10.63/10.89 (ifeq (compose (codomain $_1) a) (compose (compose a b) a) % 10.63/10.89 (codomain $_1) (compose a b)) (compose a b)) (compose a b) = % 10.63/10.89 compose a b % 10.63/10.89 |- ifeq (codomain a) (codomain g) % 10.63/10.89 (ifeq (codomain b) (codomain a) % 10.63/10.89 (ifeq (compose (compose g a) a) (compose (compose a b) a) % 10.63/10.89 (compose g a) (compose a b)) (compose a b)) (compose a b) = % 10.63/10.89 compose a b % 10.63/10.89 |- ifeq (domain $X) (codomain g) % 10.63/10.89 (ifeq (codomain b) (codomain a) % 10.63/10.89 (ifeq (compose (domain $X) a) (compose (compose a b) a) (domain $X) % 10.63/10.89 (compose a b)) (compose a b)) (compose a b) = compose a b % 10.63/10.89 |- ifeq (codomain $_557) (codomain (compose h $_557)) % 10.63/10.89 (ifeq (codomain g) (domain $_557) % 10.63/10.89 (compose h (compose $_557 (codomain (compose h $_557)))) % 10.63/10.89 (compose h $_557)) (compose h $_557) = compose h $_557 % 10.63/10.89 |- ifeq (codomain a) (domain $_558) (compose h (compose a $_558)) % 10.63/10.89 (compose (compose h a) $_558) = compose (compose h a) $_558 % 10.63/10.89 |- ifeq (codomain b) (domain $_558) % 10.63/10.89 (ifeq (codomain g) (codomain a) (compose h (compose b $_558)) % 10.63/10.89 (compose (compose h b) $_558)) (compose (compose h b) $_558) = % 10.63/10.89 compose (compose h b) $_558 % 10.63/10.89 |- ifeq (codomain $X) (domain $_558) % 10.63/10.89 (ifeq (codomain g) (codomain $X) % 10.63/10.89 (compose h (compose (codomain $X) $_558)) % 10.63/10.89 (compose (compose h (codomain $X)) $_558)) % 10.63/10.89 (compose (compose h (codomain $X)) $_558) = % 10.63/10.89 compose (compose h (codomain $X)) $_558 % 10.63/10.89 |- ifeq (codomain a) (domain $_558) % 10.63/10.89 (ifeq (codomain g) (domain g) % 10.63/10.89 (compose h (compose (compose g a) $_558)) % 10.63/10.89 (compose (compose h (compose g a)) $_558)) % 10.63/10.89 (compose (compose h (compose g a)) $_558) = % 10.63/10.89 compose (compose h (compose g a)) $_558 % 10.63/10.89 |- ifeq (codomain b) (domain $_558) % 10.63/10.89 (ifeq (codomain g) (domain g) % 10.63/10.89 (compose h (compose (compose g (compose a b)) $_558)) % 10.63/10.89 (compose (compose h (compose g (compose a b))) $_558)) % 10.63/10.89 (compose (compose h (compose g (compose a b))) $_558) = % 10.63/10.89 compose (compose h (compose g (compose a b))) $_558 % 10.63/10.89 |- ifeq (codomain a) (domain $_558) % 10.63/10.89 (ifeq (codomain g) (domain g) % 10.63/10.89 (compose h (compose (compose h a) $_558)) % 10.63/10.89 (compose (compose h (compose h a)) $_558)) % 10.63/10.89 (compose (compose h (compose h a)) $_558) = % 10.63/10.89 compose (compose h (compose h a)) $_558 % 10.63/10.89 |- ifeq (domain $X) (domain $_558) % 10.63/10.89 (ifeq (codomain g) (domain $X) (compose h (compose (domain $X) $_558)) % 10.63/10.89 (compose (compose h (domain $X)) $_558)) % 10.63/10.89 (compose (compose h (domain $X)) $_558) = % 10.63/10.89 compose (compose h (domain $X)) $_558 % 10.63/10.89 |- ifeq (codomain g) (domain $_558) % 10.63/10.89 (ifeq (codomain g) (domain g) (compose h (compose h $_558)) % 10.63/10.89 (compose (compose h h) $_558)) (compose (compose h h) $_558) = % 10.63/10.89 compose (compose h h) $_558 % 10.66/10.89 |- ifeq (codomain $_557) (codomain g) % 10.66/10.89 (ifeq (codomain g) (domain $_557) (compose h (compose $_557 a)) % 10.66/10.89 (compose (compose h $_557) a)) (compose (compose h $_557) a) = % 10.66/10.89 compose (compose h $_557) a % 10.66/10.89 |- ifeq (codomain $_557) (codomain a) % 10.66/10.89 (ifeq (codomain g) (domain $_557) (compose h (compose $_557 b)) % 10.66/10.89 (compose (compose h $_557) b)) (compose (compose h $_557) b) = % 10.66/10.89 compose (compose h $_557) b % 10.66/10.90 |- ifeq (codomain $_557) (codomain $X) % 10.66/10.90 (ifeq (codomain g) (domain $_557) % 10.66/10.90 (compose h (compose $_557 (codomain $X))) % 10.66/10.90 (compose (compose h $_557) (codomain $X))) % 10.66/10.90 (compose (compose h $_557) (codomain $X)) = % 10.66/10.90 compose (compose h $_557) (codomain $X) % 10.66/10.90 |- ifeq (codomain $_557) (codomain g) % 10.66/10.90 (ifeq (codomain g) (domain $_557) % 10.66/10.90 (compose h (compose $_557 (compose a b))) % 10.66/10.90 (compose (compose h $_557) (compose a b))) % 10.66/10.90 (compose (compose h $_557) (compose a b)) = % 10.66/10.90 compose (compose h $_557) (compose a b) % 10.66/10.90 |- ifeq (codomain $_557) (domain g) % 10.66/10.90 (ifeq (codomain g) (domain $_557) % 10.66/10.90 (compose h (compose $_557 (compose g a))) % 10.66/10.90 (compose (compose h $_557) (compose g a))) % 10.66/10.90 (compose (compose h $_557) (compose g a)) = % 10.66/10.90 compose (compose h $_557) (compose g a) % 10.66/10.90 |- ifeq (codomain $_557) (domain g) % 10.66/10.90 (ifeq (codomain g) (domain $_557) % 10.66/10.90 (compose h (compose $_557 (compose g (compose a b)))) % 10.66/10.90 (compose (compose h $_557) (compose g (compose a b)))) % 10.66/10.90 (compose (compose h $_557) (compose g (compose a b))) = % 10.66/10.90 compose (compose h $_557) (compose g (compose a b)) % 10.66/10.90 |- ifeq (codomain $_557) (domain g) % 10.66/10.90 (ifeq (codomain g) (domain $_557) % 10.66/10.90 (compose h (compose $_557 (compose h a))) % 10.66/10.90 (compose (compose h $_557) (compose h a))) % 10.66/10.90 (compose (compose h $_557) (compose h a)) = % 10.66/10.90 compose (compose h $_557) (compose h a) % 10.66/10.90 |- ifeq (codomain $_557) (domain $X) % 10.66/10.90 (ifeq (codomain g) (domain $_557) % 10.66/10.90 (compose h (compose $_557 (domain $X))) % 10.66/10.90 (compose (compose h $_557) (domain $X))) % 10.66/10.90 (compose (compose h $_557) (domain $X)) = % 10.66/10.90 compose (compose h $_557) (domain $X) % 10.66/10.90 |- ifeq (codomain $_557) (domain g) % 10.66/10.90 (ifeq (codomain g) (domain $_557) (compose h (compose $_557 h)) % 10.66/10.90 (compose (compose h $_557) h)) (compose (compose h $_557) h) = % 10.66/10.90 compose (compose h $_557) h % 10.66/10.90 |- ifeq (codomain a) (codomain g) (compose h (compose a a)) % 10.66/10.90 (compose (compose h a) a) = compose (compose h a) a % 10.66/10.90 |- ifeq (codomain a) (codomain $X) (compose h (compose a (codomain $X))) % 10.66/10.90 (compose (compose h a) (codomain $X)) = % 10.66/10.90 compose (compose h a) (codomain $X) % 10.66/10.90 |- ifeq (codomain a) (codomain g) (compose h (compose a (compose a b))) % 10.66/10.90 (compose (compose h a) (compose a b)) = % 10.66/10.90 compose (compose h a) (compose a b) % 10.66/10.90 |- ifeq (codomain a) (domain g) (compose h (compose a (compose g a))) % 10.66/10.90 (compose (compose h a) (compose g a)) = % 10.66/10.90 compose (compose h a) (compose g a) % 10.66/10.90 |- ifeq (codomain a) (domain g) % 10.66/10.90 (compose h (compose a (compose g (compose a b)))) % 10.66/10.90 (compose (compose h a) (compose g (compose a b))) = % 10.66/10.90 compose (compose h a) (compose g (compose a b)) % 10.66/10.90 |- ifeq (codomain a) (domain g) (compose h (compose a (compose h a))) % 10.66/10.90 (compose (compose h a) (compose h a)) = % 10.66/10.90 compose (compose h a) (compose h a) % 10.66/10.90 |- ifeq (codomain a) (domain $X) (compose h (compose a (domain $X))) % 10.66/10.90 (compose (compose h a) (domain $X)) = % 10.66/10.90 compose (compose h a) (domain $X) % 10.66/10.90 |- ifeq (codomain a) (domain g) (compose h (compose a h)) % 10.66/10.90 (compose (compose h a) h) = compose (compose h a) h % 10.66/10.90 |- compose (compose h g) a = % 10.66/10.90 ifeq (codomain g) (domain g) (compose h (compose g a)) % 10.66/10.90 (compose (compose h g) a) % 10.66/10.90 |- ifeq (codomain b) (codomain g) % 10.66/10.90 (ifeq (codomain g) (codomain a) (compose h (compose b a)) % 10.66/10.90 (compose (compose h b) a)) (compose (compose h b) a) = % 10.66/10.90 compose (compose h b) a % 10.66/10.90 |- ifeq (codomain $X) (codomain g) % 10.66/10.90 (ifeq (codomain g) (codomain $X) (compose h (compose (codomain $X) a)) % 10.66/10.90 (compose (compose h (codomain $X)) a)) % 10.66/10.90 (compose (compose h (codomain $X)) a) = % 10.66/10.90 compose (compose h (codomain $X)) a % 10.66/10.90 |- ifeq (codomain a) (codomain g) % 10.66/10.90 (ifeq (codomain g) (domain g) (compose h (compose (compose g a) a)) % 10.66/10.90 (compose (compose h (compose g a)) a)) % 10.66/10.90 (compose (compose h (compose g a)) a) = % 10.66/10.90 compose (compose h (compose g a)) a % 10.66/10.90 |- ifeq (codomain b) (codomain g) % 10.66/10.90 (ifeq (codomain g) (domain g) % 10.66/10.90 (compose h (compose (compose g (compose a b)) a)) % 10.66/10.90 (compose (compose h (compose g (compose a b))) a)) % 10.66/10.90 (compose (compose h (compose g (compose a b))) a) = % 10.66/10.90 compose (compose h (compose g (compose a b))) a % 10.66/10.90 |- ifeq (codomain a) (codomain g) % 10.66/10.90 (ifeq (codomain g) (domain g) (compose h (compose (compose h a) a)) % 10.66/10.90 (compose (compose h (compose h a)) a)) % 10.66/10.90 (compose (compose h (compose h a)) a) = % 10.66/10.90 compose (compose h (compose h a)) a % 10.66/10.90 |- ifeq (domain $X) (codomain g) % 10.66/10.90 (ifeq (codomain g) (domain $X) (compose h (compose (domain $X) a)) % 10.66/10.90 (compose (compose h (domain $X)) a)) % 10.66/10.90 (compose (compose h (domain $X)) a) = % 10.66/10.90 compose (compose h (domain $X)) a % 10.66/10.90 |- ifeq (codomain g) (domain g) (compose h (compose h a)) % 10.66/10.90 (compose (compose h h) a) = compose (compose h h) a % 10.66/10.90 |- ifeq (codomain $_1) (codomain g) % 10.66/10.90 (ifeq (codomain b) (codomain a) % 10.66/10.90 (ifeq (compose (compose a b) a) (compose (codomain $_1) a) % 10.66/10.90 (codomain $_1) (compose a b)) (compose a b)) (compose a b) = % 10.66/10.90 compose a b % 10.66/10.90 |- ifeq (codomain b) (codomain g) % 10.66/10.90 (ifeq (codomain b) (codomain a) % 10.66/10.90 (ifeq (compose (compose a b) a) % 10.66/10.90 (compose (compose g (compose a b)) a) (compose g (compose a b)) % 10.66/10.90 (compose a b)) (compose a b)) (compose a b) = compose a b % 10.66/10.90 |- ifeq (domain $X) (codomain g) % 10.66/10.90 (ifeq (codomain b) (codomain a) % 10.66/10.90 (ifeq (compose (compose a b) a) (compose (domain $X) a) (domain $X) % 10.66/10.90 (compose a b)) (compose a b)) (compose a b) = compose a b % 10.66/10.90 |- ifeq (codomain $_1) (codomain g) % 10.66/10.90 (ifeq (codomain b) (codomain a) % 10.66/10.90 (ifeq (compose (compose a b) b) (compose (codomain $_1) b) % 10.66/10.90 (codomain $_1) (compose a b)) (compose a b)) (compose a b) = % 10.66/10.90 compose a b % 10.66/10.90 |- ifeq (domain $X) (codomain g) % 10.66/10.90 (ifeq (codomain b) (codomain a) % 10.66/10.90 (ifeq (compose (compose a b) b) (compose (domain $X) b) (domain $X) % 10.66/10.90 (compose a b)) (compose a b)) (compose a b) = compose a b % 10.66/10.90 |- ifeq (codomain a) (codomain g) % 10.66/10.90 (ifeq (codomain b) (codomain a) % 10.66/10.90 (ifeq (compose g (compose a b)) (compose (compose a b) b) % 10.66/10.90 (compose h a) (compose a b)) (compose a b)) (compose a b) = % 10.66/10.90 compose a b % 10.66/10.90 |- ifeq (codomain $_1) (codomain g) % 10.66/10.90 (ifeq (codomain b) (codomain a) % 10.66/10.90 (ifeq (compose (codomain $_1) b) (compose (compose a b) b) % 10.66/10.90 (codomain $_1) (compose a b)) (compose a b)) (compose a b) = % 10.66/10.90 compose a b % 10.66/10.90 |- ifeq (domain $X) (codomain g) % 10.66/10.90 (ifeq (codomain b) (codomain a) % 10.66/10.90 (ifeq (compose (domain $X) b) (compose (compose a b) b) (domain $X) % 10.66/10.90 (compose a b)) (compose a b)) (compose a b) = compose a b % 10.66/10.90 |- codomain a = % 10.66/10.90 ifeq (compose (codomain a) a) $_566 % 10.66/10.90 (ifeq (compose g a) $_566 g (codomain a)) (codomain a) % 10.66/10.90 |- codomain a = % 10.66/10.90 ifeq (compose (codomain a) a) $_571 % 10.66/10.90 (ifeq (compose h a) $_571 h (codomain a)) (codomain a) % 10.66/10.90 |- ifeq (codomain $_583) (codomain g) % 10.66/10.90 (ifeq (codomain $_1) (codomain a) % 10.66/10.90 (ifeq (compose (codomain $_583) a) (compose (codomain $_1) a) % 10.66/10.90 (codomain $_583) (codomain $_1)) (codomain $_1)) % 10.66/10.90 (codomain $_1) = codomain $_1 % 10.66/10.90 |- ifeq (codomain $_583) (codomain g) % 10.66/10.90 (ifeq (codomain b) (codomain a) % 10.66/10.90 (ifeq (compose (codomain $_583) a) % 10.66/10.90 (compose (compose g (compose a b)) a) (codomain $_583) % 10.66/10.90 (compose g (compose a b))) (compose g (compose a b))) % 10.66/10.90 (compose g (compose a b)) = compose g (compose a b) % 10.66/10.90 |- ifeq (codomain $_583) (codomain g) % 10.66/10.90 (ifeq (domain $X) (codomain a) % 10.66/10.90 (ifeq (compose (codomain $_583) a) (compose (domain $X) a) % 10.66/10.90 (codomain $_583) (domain $X)) (domain $X)) (domain $X) = % 10.66/10.90 domain $X % 10.66/10.90 |- ifeq (domain $_585) (codomain g) % 10.66/10.90 (ifeq (codomain $_1) (codomain a) % 10.66/10.90 (ifeq (compose (domain $_585) a) (compose (codomain $_1) a) % 10.66/10.90 (domain $_585) (codomain $_1)) (codomain $_1)) (codomain $_1) = % 10.66/10.90 codomain $_1 % 10.66/10.90 |- ifeq (domain $_585) (codomain g) % 10.66/10.90 (ifeq (codomain b) (codomain a) % 10.66/10.90 (ifeq (compose (domain $_585) a) % 10.66/10.90 (compose (compose g (compose a b)) a) (domain $_585) % 10.66/10.90 (compose g (compose a b))) (compose g (compose a b))) % 10.66/10.90 (compose g (compose a b)) = compose g (compose a b) % 10.66/10.90 |- ifeq (domain $_585) (codomain g) % 10.66/10.90 (ifeq (domain $X) (codomain a) % 10.66/10.90 (ifeq (compose (domain $_585) a) (compose (domain $X) a) % 10.66/10.90 (domain $_585) (domain $X)) (domain $X)) (domain $X) = domain $X % 10.66/10.90 |- codomain a = % 10.66/10.90 ifeq b $_590 % 10.66/10.90 (ifeq (compose (codomain g) b) $_590 (codomain g) (codomain a)) % 10.66/10.90 (codomain a) % 10.66/10.90 |- ifeq (codomain $_594) (codomain g) % 10.66/10.90 (ifeq (codomain $_1) (codomain a) % 10.66/10.90 (ifeq (compose (codomain $_1) a) (compose (codomain $_594) a) % 10.66/10.90 (codomain $_594) (codomain $_1)) (codomain $_1)) % 10.66/10.90 (codomain $_1) = codomain $_1 % 10.66/10.90 |- ifeq (codomain $_594) (codomain g) % 10.66/10.90 (ifeq (codomain b) (codomain a) % 10.66/10.90 (ifeq (compose (compose g (compose a b)) a) % 10.66/10.90 (compose (codomain $_594) a) (codomain $_594) % 10.66/10.90 (compose g (compose a b))) (compose g (compose a b))) % 10.66/10.90 (compose g (compose a b)) = compose g (compose a b) % 10.66/10.90 |- ifeq (codomain $_594) (codomain g) % 10.66/10.90 (ifeq (domain $X) (codomain a) % 10.66/10.90 (ifeq (compose (domain $X) a) (compose (codomain $_594) a) % 10.66/10.90 (codomain $_594) (domain $X)) (domain $X)) (domain $X) = % 10.66/10.90 domain $X % 10.66/10.90 |- ifeq (domain $_596) (codomain g) % 10.66/10.90 (ifeq (codomain $_1) (codomain a) % 10.66/10.90 (ifeq (compose (codomain $_1) a) (compose (domain $_596) a) % 10.66/10.90 (domain $_596) (codomain $_1)) (codomain $_1)) (codomain $_1) = % 10.66/10.90 codomain $_1 % 10.66/10.90 |- ifeq (domain $_596) (codomain g) % 10.66/10.90 (ifeq (codomain b) (codomain a) % 10.66/10.90 (ifeq (compose (compose g (compose a b)) a) % 10.66/10.90 (compose (domain $_596) a) (domain $_596) % 10.66/10.90 (compose g (compose a b))) (compose g (compose a b))) % 10.66/10.90 (compose g (compose a b)) = compose g (compose a b) % 10.66/10.90 |- ifeq (domain $_596) (codomain g) % 10.66/10.90 (ifeq (domain $X) (codomain a) % 10.66/10.90 (ifeq (compose (domain $X) a) (compose (domain $_596) a) % 10.66/10.90 (domain $_596) (domain $X)) (domain $X)) (domain $X) = domain $X % 10.66/10.90 |- $C = % 10.66/10.90 ifeq (codomain $C) (codomain a) % 10.66/10.90 (ifeq (compose $C b) (compose (codomain g) b) (codomain g) $C) $C % 10.66/10.90 |- ifeq (codomain $_598) (codomain g) % 10.66/10.90 (ifeq (codomain $_1) (codomain a) % 10.66/10.90 (ifeq (compose (codomain $_1) b) (compose (codomain $_598) b) % 10.66/10.90 (codomain $_598) (codomain $_1)) (codomain $_1)) % 10.66/10.90 (codomain $_1) = codomain $_1 % 10.66/10.90 |- ifeq (codomain $_598) (codomain g) % 10.66/10.90 (ifeq (codomain b) (codomain a) % 10.66/10.90 (ifeq (compose (compose g (compose a b)) b) % 10.66/10.90 (compose (codomain $_598) b) (codomain $_598) % 10.66/10.90 (compose g (compose a b))) (compose g (compose a b))) % 10.66/10.90 (compose g (compose a b)) = compose g (compose a b) % 10.66/10.90 |- ifeq (codomain $_598) (codomain g) % 10.66/10.90 (ifeq (domain $X) (codomain a) % 10.66/10.90 (ifeq (compose (domain $X) b) (compose (codomain $_598) b) % 10.66/10.90 (codomain $_598) (domain $X)) (domain $X)) (domain $X) = % 10.66/10.90 domain $X % 10.66/10.90 |- codomain $_1 = % 10.66/10.90 ifeq (codomain $_1) (codomain a) % 10.66/10.90 (ifeq (compose (codomain $_1) b) (compose (codomain g) b) (codomain g) % 10.66/10.90 (codomain $_1)) (codomain $_1) % 10.66/10.90 |- compose a b = % 10.66/10.90 ifeq (codomain b) (codomain a) % 10.66/10.90 (ifeq (compose (compose a b) b) (compose (codomain g) b) (codomain g) % 10.66/10.90 (compose a b)) (compose a b) % 10.66/10.90 |- compose g (compose a b) = % 10.66/10.90 ifeq (codomain b) (codomain a) % 10.66/10.90 (ifeq (compose (compose g (compose a b)) b) (compose (codomain g) b) % 10.66/10.90 (codomain g) (compose g (compose a b))) (compose g (compose a b)) % 10.66/10.90 |- domain $X = % 10.66/10.90 ifeq (domain $X) (codomain a) % 10.66/10.90 (ifeq (compose (domain $X) b) (compose (codomain g) b) (codomain g) % 10.66/10.90 (domain $X)) (domain $X) % 10.66/10.90 |- ifeq (domain $_603) (codomain g) % 10.66/10.90 (ifeq (codomain $_1) (codomain a) % 10.66/10.90 (ifeq (compose (codomain $_1) b) (compose (domain $_603) b) % 10.66/10.90 (domain $_603) (codomain $_1)) (codomain $_1)) (codomain $_1) = % 10.66/10.90 codomain $_1 % 10.66/10.90 |- ifeq (domain $_603) (codomain g) % 10.66/10.90 (ifeq (codomain b) (codomain a) % 10.66/10.90 (ifeq (compose (compose g (compose a b)) b) % 10.66/10.90 (compose (domain $_603) b) (domain $_603) % 10.66/10.90 (compose g (compose a b))) (compose g (compose a b))) % 10.66/10.90 (compose g (compose a b)) = compose g (compose a b) % 10.66/10.90 |- ifeq (domain $_603) (codomain g) % 10.66/10.90 (ifeq (domain $X) (codomain a) % 10.66/10.90 (ifeq (compose (domain $X) b) (compose (domain $_603) b) % 10.66/10.90 (domain $_603) (domain $X)) (domain $X)) (domain $X) = domain $X % 10.66/10.90 |- $C = % 10.66/10.90 ifeq (codomain $C) (codomain a) % 10.66/10.90 (ifeq (compose (codomain g) b) (compose $C b) (codomain g) $C) $C % 10.66/10.90 |- ifeq (codomain $_605) (codomain g) % 10.66/10.90 (ifeq (codomain $_1) (codomain a) % 10.66/10.90 (ifeq (compose (codomain $_605) b) (compose (codomain $_1) b) % 10.66/10.90 (codomain $_605) (codomain $_1)) (codomain $_1)) % 10.66/10.90 (codomain $_1) = codomain $_1 % 10.66/10.90 |- ifeq (codomain $_605) (codomain g) % 10.66/10.90 (ifeq (codomain b) (codomain a) % 10.66/10.90 (ifeq (compose (codomain $_605) b) % 10.66/10.90 (compose (compose g (compose a b)) b) (codomain $_605) % 10.66/10.90 (compose g (compose a b))) (compose g (compose a b))) % 10.66/10.90 (compose g (compose a b)) = compose g (compose a b) % 10.66/10.90 |- ifeq (codomain $_605) (codomain g) % 10.66/10.90 (ifeq (domain $X) (codomain a) % 10.66/10.90 (ifeq (compose (codomain $_605) b) (compose (domain $X) b) % 10.66/10.90 (codomain $_605) (domain $X)) (domain $X)) (domain $X) = % 10.66/10.90 domain $X % 10.66/10.90 |- codomain $_1 = % 10.66/10.90 ifeq (codomain $_1) (codomain a) % 10.66/10.90 (ifeq (compose (codomain g) b) (compose (codomain $_1) b) (codomain g) % 10.66/10.90 (codomain $_1)) (codomain $_1) % 10.66/10.90 |- compose a b = % 10.66/10.90 ifeq (codomain b) (codomain a) % 10.66/10.90 (ifeq (compose (codomain g) b) (compose (compose a b) b) (codomain g) % 10.66/10.90 (compose a b)) (compose a b) % 10.66/10.90 |- compose g a = % 10.66/10.90 ifeq (compose (codomain g) b) (compose g (compose a b)) (codomain g) % 10.66/10.90 (compose g a) % 10.66/10.90 |- compose g (compose a b) = % 10.66/10.90 ifeq (codomain b) (codomain a) % 10.66/10.90 (ifeq (compose (codomain g) b) (compose (compose g (compose a b)) b) % 10.66/10.90 (codomain g) (compose g (compose a b))) (compose g (compose a b)) % 10.66/10.90 |- domain $X = % 10.66/10.90 ifeq (domain $X) (codomain a) % 10.66/10.90 (ifeq (compose (codomain g) b) (compose (domain $X) b) (codomain g) % 10.66/10.90 (domain $X)) (domain $X) % 10.66/10.91 |- ifeq (domain $_609) (codomain g) % 10.66/10.91 (ifeq (codomain $_1) (codomain a) % 10.66/10.91 (ifeq (compose (domain $_609) b) (compose (codomain $_1) b) % 10.66/10.91 (domain $_609) (codomain $_1)) (codomain $_1)) (codomain $_1) = % 10.66/10.91 codomain $_1 % 10.66/10.91 |- ifeq (domain $_609) (codomain g) % 10.66/10.91 (ifeq (codomain b) (codomain a) % 10.66/10.91 (ifeq (compose (domain $_609) b) % 10.66/10.91 (compose (compose g (compose a b)) b) (domain $_609) % 10.66/10.91 (compose g (compose a b))) (compose g (compose a b))) % 10.66/10.91 (compose g (compose a b)) = compose g (compose a b) % 10.66/10.91 |- ifeq (domain $_609) (codomain g) % 10.66/10.91 (ifeq (domain $X) (codomain a) % 10.66/10.91 (ifeq (compose (domain $_609) b) (compose (domain $X) b) % 10.66/10.91 (domain $_609) (domain $X)) (domain $X)) (domain $X) = domain $X % 10.66/10.91 |- ifeq (codomain b) (codomain g) % 10.66/10.91 (ifeq (compose (compose a b) a) (compose (codomain a) a) (compose a b) % 10.66/10.91 (codomain a)) (codomain a) = codomain a % 10.66/10.91 |- ifeq (codomain a) (codomain g) % 10.66/10.91 (ifeq (compose (compose h a) a) (compose (codomain a) a) (compose h a) % 10.66/10.91 (codomain a)) (codomain a) = codomain a % 10.66/10.91 |- ifeq (codomain b) (codomain (compose h b)) % 10.66/10.91 (ifeq (codomain g) (codomain a) % 10.66/10.91 (compose h (compose b (codomain (compose h b)))) (compose h b)) % 10.66/10.91 (compose h b) = compose h b % 10.66/10.91 |- ifeq (codomain $X) (codomain (compose h (codomain $X))) % 10.66/10.91 (ifeq (codomain g) (codomain $X) % 10.66/10.91 (compose h % 10.66/10.91 (compose (codomain $X) (codomain (compose h (codomain $X))))) % 10.66/10.91 (compose h (codomain $X))) (compose h (codomain $X)) = % 10.66/10.91 compose h (codomain $X) % 10.66/10.91 |- ifeq (codomain a) (codomain (compose h (compose g a))) % 10.66/10.91 (ifeq (codomain g) (domain g) % 10.66/10.91 (compose h % 10.66/10.91 (compose (compose g a) (codomain (compose h (compose g a))))) % 10.66/10.91 (compose h (compose g a))) (compose h (compose g a)) = % 10.66/10.91 compose h (compose g a) % 10.66/10.91 |- ifeq (codomain b) (codomain (compose h (compose g (compose a b)))) % 10.66/10.91 (ifeq (codomain g) (domain g) % 10.66/10.91 (compose h % 10.66/10.91 (compose (compose g (compose a b)) % 10.66/10.91 (codomain (compose h (compose g (compose a b)))))) % 10.66/10.91 (compose h (compose g (compose a b)))) % 10.66/10.91 (compose h (compose g (compose a b))) = % 10.66/10.91 compose h (compose g (compose a b)) % 10.66/10.91 |- ifeq (codomain a) (codomain (compose h (compose h a))) % 10.66/10.91 (ifeq (codomain g) (domain g) % 10.66/10.91 (compose h % 10.66/10.91 (compose (compose h a) (codomain (compose h (compose h a))))) % 10.66/10.91 (compose h (compose h a))) (compose h (compose h a)) = % 10.66/10.91 compose h (compose h a) % 10.66/10.91 |- ifeq (domain $X) (codomain (compose h (domain $X))) % 10.66/10.91 (ifeq (codomain g) (domain $X) % 10.66/10.91 (compose h % 10.66/10.91 (compose (domain $X) (codomain (compose h (domain $X))))) % 10.66/10.91 (compose h (domain $X))) (compose h (domain $X)) = % 10.66/10.91 compose h (domain $X) % 10.66/10.91 |- ifeq (codomain g) (codomain (compose h h)) % 10.66/10.91 (ifeq (codomain g) (domain g) % 10.66/10.91 (compose h (compose h (codomain (compose h h)))) (compose h h)) % 10.66/10.91 (compose h h) = compose h h % 10.66/10.91 |- h = % 10.66/10.91 ifeq (codomain g) (codomain a) % 10.66/10.91 (ifeq (compose h b) $_656 % 10.66/10.91 (ifeq (compose (codomain g) b) $_656 (codomain g) h) h) h % 10.66/10.91 |- ifeq (codomain $_660) (codomain g) % 10.66/10.91 (ifeq (codomain $_1) (codomain a) % 10.66/10.91 (ifeq (compose (codomain $_1) a) $_661 % 10.66/10.91 (ifeq (compose (codomain $_660) a) $_661 (codomain $_660) % 10.66/10.91 (codomain $_1)) (codomain $_1)) (codomain $_1)) % 10.66/10.91 (codomain $_1) = codomain $_1 % 10.66/10.91 |- ifeq (codomain $_660) (codomain g) % 10.66/10.91 (ifeq (codomain b) (codomain a) % 10.66/10.91 (ifeq (compose (compose a b) a) $_661 % 10.66/10.91 (ifeq (compose (codomain $_660) a) $_661 (codomain $_660) % 10.66/10.91 (compose a b)) (compose a b)) (compose a b)) (compose a b) = % 10.66/10.91 compose a b % 10.66/10.91 |- ifeq (codomain $_660) (codomain g) % 10.66/10.91 (ifeq (codomain b) (codomain a) % 10.66/10.91 (ifeq (compose (compose g (compose a b)) a) $_661 % 10.66/10.91 (ifeq (compose (codomain $_660) a) $_661 (codomain $_660) % 10.66/10.91 (compose g (compose a b))) (compose g (compose a b))) % 10.66/10.91 (compose g (compose a b))) (compose g (compose a b)) = % 10.66/10.91 compose g (compose a b) % 10.66/10.91 |- ifeq (codomain $_660) (codomain g) % 10.66/10.91 (ifeq (domain $X) (codomain a) % 10.66/10.91 (ifeq (compose (domain $X) a) $_661 % 10.66/10.91 (ifeq (compose (codomain $_660) a) $_661 (codomain $_660) % 10.66/10.91 (domain $X)) (domain $X)) (domain $X)) (domain $X) = % 10.66/10.91 domain $X % 10.66/10.91 |- ifeq (domain $_663) (codomain g) % 10.66/10.91 (ifeq (codomain $_1) (codomain a) % 10.66/10.91 (ifeq (compose (codomain $_1) a) $_664 % 10.66/10.91 (ifeq (compose (domain $_663) a) $_664 (domain $_663) % 10.66/10.91 (codomain $_1)) (codomain $_1)) (codomain $_1)) % 10.66/10.91 (codomain $_1) = codomain $_1 % 10.66/10.91 |- ifeq (domain $_663) (codomain g) % 10.66/10.91 (ifeq (codomain b) (codomain a) % 10.66/10.91 (ifeq (compose (compose a b) a) $_664 % 10.66/10.91 (ifeq (compose (domain $_663) a) $_664 (domain $_663) % 10.66/10.91 (compose a b)) (compose a b)) (compose a b)) (compose a b) = % 10.66/10.91 compose a b % 10.66/10.91 |- ifeq (domain $_663) (codomain g) % 10.66/10.91 (ifeq (codomain b) (codomain a) % 10.66/10.91 (ifeq (compose (compose g (compose a b)) a) $_664 % 10.66/10.91 (ifeq (compose (domain $_663) a) $_664 (domain $_663) % 10.66/10.91 (compose g (compose a b))) (compose g (compose a b))) % 10.66/10.91 (compose g (compose a b))) (compose g (compose a b)) = % 10.66/10.91 compose g (compose a b) % 10.66/10.91 |- ifeq (domain $_663) (codomain g) % 10.66/10.91 (ifeq (domain $X) (codomain a) % 10.66/10.91 (ifeq (compose (domain $X) a) $_664 % 10.66/10.91 (ifeq (compose (domain $_663) a) $_664 (domain $_663) % 10.66/10.91 (domain $X)) (domain $X)) (domain $X)) (domain $X) = % 10.66/10.91 domain $X % 10.66/10.91 |- $C = % 10.66/10.91 ifeq (codomain $C) (codomain a) % 10.66/10.91 (ifeq (compose $C b) $_667 % 10.66/10.91 (ifeq (compose (codomain g) b) $_667 (codomain g) $C) $C) $C % 10.66/10.91 |- ifeq (codomain $_666) (codomain g) % 10.66/10.91 (ifeq (codomain $_1) (codomain a) % 10.66/10.91 (ifeq (compose (codomain $_1) b) $_667 % 10.66/10.91 (ifeq (compose (codomain $_666) b) $_667 (codomain $_666) % 10.66/10.91 (codomain $_1)) (codomain $_1)) (codomain $_1)) % 10.66/10.91 (codomain $_1) = codomain $_1 % 10.66/10.91 |- ifeq (codomain $_666) (codomain g) % 10.66/10.91 (ifeq (codomain b) (codomain a) % 10.66/10.91 (ifeq (compose (compose a b) b) $_667 % 10.66/10.91 (ifeq (compose (codomain $_666) b) $_667 (codomain $_666) % 10.66/10.91 (compose a b)) (compose a b)) (compose a b)) (compose a b) = % 10.66/10.91 compose a b % 10.66/10.91 |- ifeq (codomain $_666) (codomain g) % 10.66/10.91 (ifeq (codomain b) (codomain a) % 10.66/10.91 (ifeq (compose (compose g (compose a b)) b) $_667 % 10.66/10.91 (ifeq (compose (codomain $_666) b) $_667 (codomain $_666) % 10.66/10.91 (compose g (compose a b))) (compose g (compose a b))) % 10.66/10.91 (compose g (compose a b))) (compose g (compose a b)) = % 10.66/10.91 compose g (compose a b) % 10.66/10.91 |- ifeq (codomain $_666) (codomain g) % 10.66/10.91 (ifeq (domain $X) (codomain a) % 10.66/10.91 (ifeq (compose (domain $X) b) $_667 % 10.66/10.91 (ifeq (compose (codomain $_666) b) $_667 (codomain $_666) % 10.66/10.91 (domain $X)) (domain $X)) (domain $X)) (domain $X) = % 10.66/10.91 domain $X % 10.66/10.91 |- compose h a = % 10.66/10.91 ifeq (compose g (compose a b)) $_670 % 10.66/10.91 (ifeq (compose (codomain g) b) $_670 (codomain g) (compose h a)) % 10.66/10.91 (compose h a) % 10.66/10.91 |- codomain $_1 = % 10.66/10.91 ifeq (codomain $_1) (codomain a) % 10.66/10.91 (ifeq (compose (codomain $_1) b) $_670 % 10.66/10.91 (ifeq (compose (codomain g) b) $_670 (codomain g) (codomain $_1)) % 10.66/10.91 (codomain $_1)) (codomain $_1) % 10.66/10.91 |- compose a b = % 10.66/10.91 ifeq (codomain b) (codomain a) % 10.66/10.91 (ifeq (compose (compose a b) b) $_670 % 10.66/10.91 (ifeq (compose (codomain g) b) $_670 (codomain g) (compose a b)) % 10.66/10.91 (compose a b)) (compose a b) % 10.66/10.91 |- compose g a = % 10.66/10.91 ifeq (compose g (compose a b)) $_670 % 10.66/10.91 (ifeq (compose (codomain g) b) $_670 (codomain g) (compose g a)) % 10.66/10.91 (compose g a) % 10.66/10.91 |- compose g (compose a b) = % 10.66/10.91 ifeq (codomain b) (codomain a) % 10.66/10.91 (ifeq (compose (compose g (compose a b)) b) $_670 % 10.66/10.91 (ifeq (compose (codomain g) b) $_670 (codomain g) % 10.66/10.91 (compose g (compose a b))) (compose g (compose a b))) % 10.66/10.91 (compose g (compose a b)) % 10.66/10.91 |- domain $X = % 10.66/10.91 ifeq (domain $X) (codomain a) % 10.66/10.91 (ifeq (compose (domain $X) b) $_670 % 10.66/10.91 (ifeq (compose (codomain g) b) $_670 (codomain g) (domain $X)) % 10.66/10.91 (domain $X)) (domain $X) % 10.66/10.91 |- ifeq (domain $_673) (codomain g) % 10.66/10.91 (ifeq (codomain $_1) (codomain a) % 10.66/10.91 (ifeq (compose (codomain $_1) b) $_674 % 10.66/10.91 (ifeq (compose (domain $_673) b) $_674 (domain $_673) % 10.66/10.91 (codomain $_1)) (codomain $_1)) (codomain $_1)) % 10.66/10.91 (codomain $_1) = codomain $_1 % 10.66/10.91 |- ifeq (domain $_673) (codomain g) % 10.66/10.91 (ifeq (codomain b) (codomain a) % 10.66/10.91 (ifeq (compose (compose a b) b) $_674 % 10.66/10.91 (ifeq (compose (domain $_673) b) $_674 (domain $_673) % 10.66/10.91 (compose a b)) (compose a b)) (compose a b)) (compose a b) = % 10.66/10.91 compose a b % 10.66/10.91 |- ifeq (domain $_673) (codomain g) % 10.66/10.91 (ifeq (codomain b) (codomain a) % 10.66/10.91 (ifeq (compose (compose g (compose a b)) b) $_674 % 10.66/10.91 (ifeq (compose (domain $_673) b) $_674 (domain $_673) % 10.66/10.91 (compose g (compose a b))) (compose g (compose a b))) % 10.66/10.91 (compose g (compose a b))) (compose g (compose a b)) = % 10.66/10.91 compose g (compose a b) % 10.66/10.91 |- ifeq (domain $_673) (codomain g) % 10.66/10.91 (ifeq (domain $X) (codomain a) % 10.66/10.91 (ifeq (compose (domain $X) b) $_674 % 10.66/10.91 (ifeq (compose (domain $_673) b) $_674 (domain $_673) % 10.66/10.91 (domain $X)) (domain $X)) (domain $X)) (domain $X) = % 10.66/10.91 domain $X % 10.66/10.91 |- ifeq (codomain b) (codomain g) % 10.66/10.91 (ifeq (compose (codomain a) a) (compose (compose a b) a) (compose a b) % 10.66/10.91 (codomain a)) (codomain a) = codomain a % 10.66/10.91 |- ifeq (codomain a) (codomain g) % 10.66/10.91 (ifeq (compose (codomain a) a) (compose (compose g a) a) (compose g a) % 10.66/10.91 (codomain a)) (codomain a) = codomain a % 10.66/10.91 |- ifeq (codomain a) (codomain g) % 10.66/10.91 (ifeq (compose (codomain a) a) (compose (compose h a) a) (compose h a) % 10.66/10.91 (codomain a)) (codomain a) = codomain a % 10.66/10.91 |- ifeq (codomain g) (codomain a) % 10.66/10.91 (ifeq (codomain g) (domain g) (compose h (compose h b)) % 10.66/10.91 (compose (compose h h) b)) (compose (compose h h) b) = % 10.66/10.91 compose (compose h h) b % 10.66/10.91 |- ifeq (codomain g) (codomain $X) % 10.66/10.91 (ifeq (codomain g) (domain g) (compose h (compose h (codomain $X))) % 10.66/10.91 (compose (compose h h) (codomain $X))) % 10.66/10.91 (compose (compose h h) (codomain $X)) = % 10.66/10.91 compose (compose h h) (codomain $X) % 10.66/10.91 |- ifeq (codomain g) (domain g) % 10.66/10.91 (ifeq (codomain g) (domain g) (compose h (compose h (compose g a))) % 10.66/10.91 (compose (compose h h) (compose g a))) % 10.66/10.91 (compose (compose h h) (compose g a)) = % 10.66/10.91 compose (compose h h) (compose g a) % 10.66/10.91 |- ifeq (codomain g) (domain g) % 10.66/10.91 (ifeq (codomain g) (domain g) % 10.66/10.91 (compose h (compose h (compose g (compose a b)))) % 10.66/10.91 (compose (compose h h) (compose g (compose a b)))) % 10.66/10.91 (compose (compose h h) (compose g (compose a b))) = % 10.66/10.91 compose (compose h h) (compose g (compose a b)) % 10.66/10.91 |- ifeq (codomain g) (domain g) % 10.66/10.91 (ifeq (codomain g) (domain g) (compose h (compose h (compose h a))) % 10.66/10.91 (compose (compose h h) (compose h a))) % 10.66/10.91 (compose (compose h h) (compose h a)) = % 10.66/10.91 compose (compose h h) (compose h a) % 10.66/10.91 |- ifeq (codomain g) (domain $X) % 10.66/10.91 (ifeq (codomain g) (domain g) (compose h (compose h (domain $X))) % 10.66/10.91 (compose (compose h h) (domain $X))) % 10.66/10.91 (compose (compose h h) (domain $X)) = % 10.66/10.91 compose (compose h h) (domain $X) % 10.66/10.91 |- ifeq (codomain g) (domain g) % 10.66/10.91 (ifeq (codomain g) (domain g) (compose h (compose h h)) % 10.66/10.91 (compose (compose h h) h)) (compose (compose h h) h) = % 10.66/10.91 compose (compose h h) h % 10.66/10.91 |- ifeq (codomain b) (codomain a) % 10.66/10.91 (ifeq (codomain g) (codomain a) (compose h (compose b b)) % 10.66/10.91 (compose (compose h b) b)) (compose (compose h b) b) = % 10.66/10.91 compose (compose h b) b % 10.66/10.91 |- ifeq (codomain $X) (codomain a) % 10.66/10.91 (ifeq (codomain g) (codomain $X) (compose h (compose (codomain $X) b)) % 10.66/10.91 (compose (compose h (codomain $X)) b)) % 10.66/10.91 (compose (compose h (codomain $X)) b) = % 10.66/10.91 compose (compose h (codomain $X)) b % 10.66/10.91 |- ifeq (codomain g) (domain g) (compose h (compose g (compose a b))) % 10.66/10.91 (compose (compose h (compose g a)) b) = % 10.66/10.91 compose (compose h (compose g a)) b % 10.68/10.92 |- ifeq (codomain b) (codomain a) % 10.68/10.92 (ifeq (codomain g) (domain g) % 10.68/10.92 (compose h (compose (compose g (compose a b)) b)) % 10.68/10.92 (compose (compose h (compose g (compose a b))) b)) % 10.68/10.92 (compose (compose h (compose g (compose a b))) b) = % 10.68/10.92 compose (compose h (compose g (compose a b))) b % 10.68/10.92 |- ifeq (domain $X) (codomain a) % 10.68/10.92 (ifeq (codomain g) (domain $X) (compose h (compose (domain $X) b)) % 10.68/10.92 (compose (compose h (domain $X)) b)) % 10.68/10.92 (compose (compose h (domain $X)) b) = % 10.68/10.92 compose (compose h (domain $X)) b % 10.68/10.92 |- ifeq (codomain a) (codomain g) % 10.68/10.92 (ifeq (codomain $_1) (codomain a) % 10.68/10.92 (ifeq (compose (compose g a) a) (compose (codomain $_1) a) % 10.68/10.92 (compose g a) (codomain $_1)) (codomain $_1)) (codomain $_1) = % 10.68/10.92 codomain $_1 % 10.68/10.92 |- ifeq (codomain a) (codomain g) % 10.68/10.92 (ifeq (codomain b) (codomain a) % 10.68/10.92 (ifeq (compose (compose g a) a) % 10.68/10.92 (compose (compose g (compose a b)) a) (compose g a) % 10.68/10.92 (compose g (compose a b))) (compose g (compose a b))) % 10.68/10.92 (compose g (compose a b)) = compose g (compose a b) % 10.68/10.92 |- ifeq (codomain a) (codomain g) % 10.68/10.92 (ifeq (domain $X) (codomain a) % 10.68/10.92 (ifeq (compose (compose g a) a) (compose (domain $X) a) % 10.68/10.92 (compose g a) (domain $X)) (domain $X)) (domain $X) = domain $X % 10.68/10.92 |- ifeq (codomain a) (codomain g) % 10.68/10.92 (ifeq (compose (compose g a) a) (compose (codomain a) a) (compose g a) % 10.68/10.92 (codomain a)) (codomain a) = codomain a % 10.68/10.92 |- ifeq (codomain a) (codomain g) % 10.68/10.92 (ifeq (codomain $_1) (codomain a) % 10.68/10.92 (ifeq (compose g (compose a b)) (compose (codomain $_1) b) % 10.68/10.92 (compose h a) (codomain $_1)) (codomain $_1)) (codomain $_1) = % 10.68/10.92 codomain $_1 % 10.68/10.92 |- ifeq (codomain a) (codomain g) % 10.68/10.92 (ifeq (codomain b) (codomain a) % 10.68/10.92 (ifeq (compose g (compose a b)) % 10.68/10.92 (compose (compose g (compose a b)) b) (compose h a) % 10.68/10.92 (compose g (compose a b))) (compose g (compose a b))) % 10.68/10.92 (compose g (compose a b)) = compose g (compose a b) % 10.68/10.92 |- ifeq (codomain a) (codomain g) % 10.68/10.92 (ifeq (domain $X) (codomain a) % 10.68/10.92 (ifeq (compose g (compose a b)) (compose (domain $X) b) % 10.68/10.92 (compose h a) (domain $X)) (domain $X)) (domain $X) = domain $X % 10.68/10.92 |- ifeq (codomain b) (codomain g) % 10.68/10.92 (ifeq (codomain $_1) (codomain a) % 10.68/10.92 (ifeq (compose (compose a b) b) (compose (codomain $_1) b) % 10.68/10.92 (compose a b) (codomain $_1)) (codomain $_1)) (codomain $_1) = % 10.68/10.92 codomain $_1 % 10.68/10.92 |- ifeq (codomain b) (codomain g) % 10.68/10.92 (ifeq (codomain b) (codomain a) % 10.68/10.92 (ifeq (compose (compose a b) b) % 10.68/10.92 (compose (compose g (compose a b)) b) (compose a b) % 10.68/10.92 (compose g (compose a b))) (compose g (compose a b))) % 10.68/10.92 (compose g (compose a b)) = compose g (compose a b) % 10.68/10.92 |- ifeq (codomain b) (codomain g) % 10.68/10.92 (ifeq (domain $X) (codomain a) % 10.68/10.92 (ifeq (compose (compose a b) b) (compose (domain $X) b) % 10.68/10.92 (compose a b) (domain $X)) (domain $X)) (domain $X) = domain $X % 10.68/10.92 |- ifeq (codomain b) (codomain g) % 10.68/10.92 (ifeq (compose (compose g (compose a b)) a) (compose (codomain a) a) % 10.68/10.92 (compose g (compose a b)) (codomain a)) (codomain a) = codomain a % 10.68/10.92 |- ifeq (codomain $_733) (codomain g) % 10.68/10.92 (ifeq (compose $_733 a) (compose (codomain a) a) $_733 (codomain a)) % 10.68/10.92 (codomain a) = codomain a % 10.68/10.92 |- ifeq (codomain $_1) (codomain g) % 10.68/10.92 (ifeq (compose (codomain $_1) a) (compose (codomain a) a) % 10.68/10.92 (codomain $_1) (codomain a)) (codomain a) = codomain a % 10.68/10.92 |- ifeq (domain $X) (codomain g) % 10.68/10.92 (ifeq (compose (domain $X) a) (compose (codomain a) a) (domain $X) % 10.68/10.92 (codomain a)) (codomain a) = codomain a % 10.68/10.92 |- ifeq (codomain $_746) (codomain g) % 10.68/10.92 (ifeq (compose (codomain a) a) (compose $_746 a) $_746 (codomain a)) % 10.68/10.92 (codomain a) = codomain a % 10.68/10.92 |- ifeq (codomain b) (codomain g) % 10.68/10.92 (ifeq (codomain $_745) (codomain a) % 10.68/10.92 (ifeq (compose (codomain $_745) a) % 10.68/10.92 (compose (compose g (compose a b)) a) (compose g (compose a b)) % 10.68/10.92 (codomain $_745)) (codomain $_745)) (codomain $_745) = % 10.68/10.92 codomain $_745 % 10.68/10.92 |- ifeq (codomain $_1) (codomain g) % 10.68/10.92 (ifeq (compose (codomain a) a) (compose (codomain $_1) a) % 10.68/10.92 (codomain $_1) (codomain a)) (codomain a) = codomain a % 10.68/10.92 |- ifeq (codomain b) (codomain g) % 10.68/10.92 (ifeq (compose (codomain a) a) (compose (compose g (compose a b)) a) % 10.68/10.92 (compose g (compose a b)) (codomain a)) (codomain a) = codomain a % 10.68/10.92 |- ifeq (domain $X) (codomain g) % 10.68/10.92 (ifeq (compose (codomain a) a) (compose (domain $X) a) (domain $X) % 10.68/10.92 (codomain a)) (codomain a) = codomain a % 10.68/10.92 |- ifeq (codomain b) (codomain g) % 10.68/10.92 (ifeq (domain $X) (codomain a) % 10.68/10.92 (ifeq (compose (domain $X) a) (compose (compose g (compose a b)) a) % 10.68/10.92 (compose g (compose a b)) (domain $X)) (domain $X)) % 10.68/10.92 (domain $X) = domain $X % 10.68/10.92 |- ifeq (codomain b) (domain g) % 10.68/10.92 (ifeq (codomain g) (codomain a) (compose h (compose b h)) % 10.68/10.92 (compose (compose h b) h)) (compose (compose h b) h) = % 10.68/10.92 compose (compose h b) h % 10.68/10.92 |- ifeq (codomain $X) (domain g) % 10.68/10.92 (ifeq (codomain g) (codomain $X) (compose h (compose (codomain $X) h)) % 10.68/10.92 (compose (compose h (codomain $X)) h)) % 10.68/10.92 (compose (compose h (codomain $X)) h) = % 10.68/10.92 compose (compose h (codomain $X)) h % 10.68/10.92 |- ifeq (codomain a) (domain g) % 10.68/10.92 (ifeq (codomain g) (domain g) (compose h (compose (compose g a) h)) % 10.68/10.92 (compose (compose h (compose g a)) h)) % 10.68/10.92 (compose (compose h (compose g a)) h) = % 10.68/10.92 compose (compose h (compose g a)) h % 10.68/10.92 |- ifeq (codomain b) (domain g) % 10.68/10.92 (ifeq (codomain g) (domain g) % 10.68/10.92 (compose h (compose (compose g (compose a b)) h)) % 10.68/10.92 (compose (compose h (compose g (compose a b))) h)) % 10.68/10.92 (compose (compose h (compose g (compose a b))) h) = % 10.68/10.92 compose (compose h (compose g (compose a b))) h % 10.68/10.92 |- ifeq (codomain a) (domain g) % 10.68/10.92 (ifeq (codomain g) (domain g) (compose h (compose (compose h a) h)) % 10.68/10.92 (compose (compose h (compose h a)) h)) % 10.68/10.92 (compose (compose h (compose h a)) h) = % 10.68/10.92 compose (compose h (compose h a)) h % 10.68/10.92 |- ifeq (domain $X) (domain g) % 10.68/10.92 (ifeq (codomain g) (domain $X) (compose h (compose (domain $X) h)) % 10.68/10.92 (compose (compose h (domain $X)) h)) % 10.68/10.92 (compose (compose h (domain $X)) h) = % 10.68/10.92 compose (compose h (domain $X)) h % 10.68/10.92 |- ifeq (codomain $_811) (codomain g) % 10.68/10.92 (ifeq (compose (codomain a) a) $_810 % 10.68/10.92 (ifeq (compose $_811 a) $_810 $_811 (codomain a)) (codomain a)) % 10.68/10.92 (codomain a) = codomain a % 10.68/10.92 |- ifeq (codomain $_1) (codomain g) % 10.68/10.92 (ifeq (compose (codomain a) a) $_812 % 10.68/10.92 (ifeq (compose (codomain $_1) a) $_812 (codomain $_1) (codomain a)) % 10.68/10.92 (codomain a)) (codomain a) = codomain a % 10.68/10.92 |- ifeq (codomain b) (codomain g) % 10.68/10.92 (ifeq (compose (codomain a) a) $_812 % 10.68/10.92 (ifeq (compose (compose a b) a) $_812 (compose a b) (codomain a)) % 10.68/10.92 (codomain a)) (codomain a) = codomain a % 10.68/10.92 |- ifeq (codomain a) (codomain g) % 10.68/10.92 (ifeq (compose (codomain a) a) $_812 % 10.68/10.92 (ifeq (compose (compose g a) a) $_812 (compose g a) (codomain a)) % 10.68/10.92 (codomain a)) (codomain a) = codomain a % 10.68/10.92 |- ifeq (codomain b) (codomain g) % 10.68/10.92 (ifeq (compose (codomain a) a) $_812 % 10.68/10.92 (ifeq (compose (compose g (compose a b)) a) $_812 % 10.68/10.92 (compose g (compose a b)) (codomain a)) (codomain a)) % 10.68/10.92 (codomain a) = codomain a % 10.68/10.92 |- ifeq (codomain a) (codomain g) % 10.68/10.92 (ifeq (compose (codomain a) a) $_812 % 10.68/10.92 (ifeq (compose (compose h a) a) $_812 (compose h a) (codomain a)) % 10.68/10.92 (codomain a)) (codomain a) = codomain a % 10.68/10.92 |- ifeq (domain $X) (codomain g) % 10.68/10.92 (ifeq (compose (codomain a) a) $_812 % 10.68/10.92 (ifeq (compose (domain $X) a) $_812 (domain $X) (codomain a)) % 10.68/10.92 (codomain a)) (codomain a) = codomain a % 10.68/10.93 |- ifeq (codomain b) (domain g) % 10.68/10.93 (ifeq (codomain g) (codomain a) (compose h (compose b (compose g a))) % 10.68/10.93 (compose (compose h b) (compose g a))) % 10.68/10.93 (compose (compose h b) (compose g a)) = % 10.68/10.93 compose (compose h b) (compose g a) % 10.68/10.93 |- ifeq (codomain $X) (domain g) % 10.68/10.93 (ifeq (codomain g) (codomain $X) % 10.68/10.93 (compose h (compose (codomain $X) (compose g a))) % 10.68/10.93 (compose (compose h (codomain $X)) (compose g a))) % 10.68/10.93 (compose (compose h (codomain $X)) (compose g a)) = % 10.68/10.93 compose (compose h (codomain $X)) (compose g a) % 10.68/10.93 |- ifeq (codomain a) (domain g) % 10.68/10.93 (ifeq (codomain g) (domain g) % 10.68/10.93 (compose h (compose (compose g a) (compose g a))) % 10.68/10.93 (compose (compose h (compose g a)) (compose g a))) % 10.68/10.93 (compose (compose h (compose g a)) (compose g a)) = % 10.68/10.93 compose (compose h (compose g a)) (compose g a) % 10.68/10.93 |- ifeq (codomain b) (domain g) % 10.68/10.93 (ifeq (codomain g) (domain g) % 10.68/10.93 (compose h (compose (compose g (compose a b)) (compose g a))) % 10.68/10.93 (compose (compose h (compose g (compose a b))) (compose g a))) % 10.68/10.93 (compose (compose h (compose g (compose a b))) (compose g a)) = % 10.68/10.93 compose (compose h (compose g (compose a b))) (compose g a) % 10.68/10.93 |- ifeq (codomain a) (domain g) % 10.68/10.93 (ifeq (codomain g) (domain g) % 10.68/10.93 (compose h (compose (compose h a) (compose g a))) % 10.68/10.93 (compose (compose h (compose h a)) (compose g a))) % 10.68/10.93 (compose (compose h (compose h a)) (compose g a)) = % 10.68/10.93 compose (compose h (compose h a)) (compose g a) % 10.68/10.93 |- ifeq (domain $X) (domain g) % 10.68/10.93 (ifeq (codomain g) (domain $X) % 10.68/10.93 (compose h (compose (domain $X) (compose g a))) % 10.68/10.93 (compose (compose h (domain $X)) (compose g a))) % 10.68/10.93 (compose (compose h (domain $X)) (compose g a)) = % 10.68/10.93 compose (compose h (domain $X)) (compose g a) % 10.68/10.93 |- ifeq (codomain a) (codomain (compose $_841 a)) % 10.68/10.93 (ifeq (codomain $_841) (codomain g) % 10.68/10.93 (compose $_841 (compose a (codomain (compose $_841 a)))) % 10.68/10.93 (compose $_841 a)) (compose $_841 a) = compose $_841 a % 10.68/10.93 |- ifeq (codomain b) (codomain (compose $_841 b)) % 10.68/10.93 (ifeq (codomain $_841) (codomain a) % 10.68/10.93 (compose $_841 (compose b (codomain (compose $_841 b)))) % 10.68/10.93 (compose $_841 b)) (compose $_841 b) = compose $_841 b % 10.68/10.93 |- ifeq (codomain $X) (codomain (compose $_841 (codomain $X))) % 10.68/10.93 (ifeq (codomain $_841) (codomain $X) % 10.68/10.93 (compose $_841 % 10.68/10.93 (compose (codomain $X) % 10.68/10.93 (codomain (compose $_841 (codomain $X))))) % 10.68/10.93 (compose $_841 (codomain $X))) (compose $_841 (codomain $X)) = % 10.68/10.93 compose $_841 (codomain $X) % 10.68/10.93 |- ifeq (codomain b) (codomain (compose $_841 (compose a b))) % 10.68/10.93 (ifeq (codomain $_841) (codomain g) % 10.68/10.93 (compose $_841 % 10.68/10.93 (compose (compose a b) % 10.68/10.93 (codomain (compose $_841 (compose a b))))) % 10.68/10.93 (compose $_841 (compose a b))) (compose $_841 (compose a b)) = % 10.68/10.93 compose $_841 (compose a b) % 10.68/10.93 |- ifeq (codomain a) (codomain (compose $_841 (compose g a))) % 10.68/10.93 (ifeq (codomain $_841) (domain g) % 10.68/10.93 (compose $_841 % 10.68/10.93 (compose (compose g a) % 10.68/10.93 (codomain (compose $_841 (compose g a))))) % 10.68/10.93 (compose $_841 (compose g a))) (compose $_841 (compose g a)) = % 10.68/10.93 compose $_841 (compose g a) % 10.68/10.93 |- ifeq (codomain b) (codomain (compose $_841 (compose g (compose a b)))) % 10.68/10.93 (ifeq (codomain $_841) (domain g) % 10.68/10.93 (compose $_841 % 10.68/10.93 (compose (compose g (compose a b)) % 10.68/10.93 (codomain (compose $_841 (compose g (compose a b)))))) % 10.68/10.93 (compose $_841 (compose g (compose a b)))) % 10.68/10.93 (compose $_841 (compose g (compose a b))) = % 10.68/10.93 compose $_841 (compose g (compose a b)) % 10.68/10.93 |- ifeq (codomain a) (codomain (compose $_841 (compose h a))) % 10.68/10.93 (ifeq (codomain $_841) (domain g) % 10.68/10.93 (compose $_841 % 10.68/10.93 (compose (compose h a) % 10.68/10.93 (codomain (compose $_841 (compose h a))))) % 10.68/10.93 (compose $_841 (compose h a))) (compose $_841 (compose h a)) = % 10.68/10.93 compose $_841 (compose h a) % 10.68/10.93 |- ifeq (domain $X) (codomain (compose $_841 (domain $X))) % 10.68/10.93 (ifeq (codomain $_841) (domain $X) % 10.68/10.93 (compose $_841 % 10.68/10.93 (compose (domain $X) (codomain (compose $_841 (domain $X))))) % 10.68/10.93 (compose $_841 (domain $X))) (compose $_841 (domain $X)) = % 10.68/10.93 compose $_841 (domain $X) % 10.68/10.93 |- ifeq (codomain g) (codomain (compose $_841 h)) % 10.68/10.93 (ifeq (codomain $_841) (domain g) % 10.68/10.93 (compose $_841 (compose h (codomain (compose $_841 h)))) % 10.68/10.93 (compose $_841 h)) (compose $_841 h) = compose $_841 h % 10.68/10.93 |- ifeq (codomain $_842) (codomain (compose (codomain $_1) $_842)) % 10.68/10.93 (ifeq (codomain $_1) (domain $_842) % 10.68/10.93 (compose (codomain $_1) % 10.68/10.93 (compose $_842 (codomain (compose (codomain $_1) $_842)))) % 10.68/10.93 (compose (codomain $_1) $_842)) (compose (codomain $_1) $_842) = % 10.68/10.93 compose (codomain $_1) $_842 % 10.68/10.93 |- ifeq (codomain $_842) (codomain (compose (compose a b) $_842)) % 10.68/10.93 (ifeq (codomain b) (domain $_842) % 10.68/10.93 (compose (compose a b) % 10.68/10.93 (compose $_842 (codomain (compose (compose a b) $_842)))) % 10.68/10.93 (compose (compose a b) $_842)) (compose (compose a b) $_842) = % 10.68/10.93 compose (compose a b) $_842 % 10.68/10.93 |- ifeq (codomain $_842) (codomain (compose (compose g a) $_842)) % 10.68/10.93 (ifeq (codomain a) (domain $_842) % 10.68/10.93 (compose (compose g a) % 10.68/10.93 (compose $_842 (codomain (compose (compose g a) $_842)))) % 10.68/10.93 (compose (compose g a) $_842)) (compose (compose g a) $_842) = % 10.68/10.93 compose (compose g a) $_842 % 10.68/10.93 |- ifeq (codomain $_842) % 10.68/10.93 (codomain (compose (compose g (compose a b)) $_842)) % 10.68/10.93 (ifeq (codomain b) (domain $_842) % 10.68/10.93 (compose (compose g (compose a b)) % 10.68/10.93 (compose $_842 % 10.68/10.93 (codomain (compose (compose g (compose a b)) $_842)))) % 10.68/10.93 (compose (compose g (compose a b)) $_842)) % 10.68/10.93 (compose (compose g (compose a b)) $_842) = % 10.68/10.93 compose (compose g (compose a b)) $_842 % 10.68/10.93 |- ifeq (codomain $_842) (codomain (compose (compose h a) $_842)) % 10.68/10.93 (ifeq (codomain a) (domain $_842) % 10.68/10.93 (compose (compose h a) % 10.68/10.93 (compose $_842 (codomain (compose (compose h a) $_842)))) % 10.68/10.93 (compose (compose h a) $_842)) (compose (compose h a) $_842) = % 10.68/10.93 compose (compose h a) $_842 % 10.68/10.93 |- ifeq (codomain $_842) (codomain (compose (domain $X) $_842)) % 10.68/10.93 (ifeq (domain $X) (domain $_842) % 10.68/10.93 (compose (domain $X) % 10.68/10.93 (compose $_842 (codomain (compose (domain $X) $_842)))) % 10.68/10.93 (compose (domain $X) $_842)) (compose (domain $X) $_842) = % 10.68/10.93 compose (domain $X) $_842 % 10.68/10.93 |- ifeq (codomain a) (codomain (compose (codomain $_1) a)) % 10.68/10.93 (ifeq (codomain $_1) (codomain g) % 10.68/10.93 (compose (codomain $_1) % 10.68/10.93 (compose a (codomain (compose (codomain $_1) a)))) % 10.68/10.93 (compose (codomain $_1) a)) (compose (codomain $_1) a) = % 10.68/10.93 compose (codomain $_1) a % 10.68/10.93 |- ifeq (codomain a) (codomain (compose (compose a b) a)) % 10.68/10.93 (ifeq (codomain b) (codomain g) % 10.68/10.93 (compose (compose a b) % 10.68/10.93 (compose a (codomain (compose (compose a b) a)))) % 10.68/10.93 (compose (compose a b) a)) (compose (compose a b) a) = % 10.68/10.93 compose (compose a b) a % 10.68/10.93 |- ifeq (codomain a) (codomain (compose (compose g a) a)) % 10.68/10.93 (ifeq (codomain a) (codomain g) % 10.68/10.93 (compose (compose g a) % 10.68/10.93 (compose a (codomain (compose (compose g a) a)))) % 10.68/10.93 (compose (compose g a) a)) (compose (compose g a) a) = % 10.68/10.93 compose (compose g a) a % 10.68/10.93 |- ifeq (codomain a) (codomain (compose (compose g (compose a b)) a)) % 10.68/10.93 (ifeq (codomain b) (codomain g) % 10.68/10.93 (compose (compose g (compose a b)) % 10.68/10.93 (compose a (codomain (compose (compose g (compose a b)) a)))) % 10.68/10.93 (compose (compose g (compose a b)) a)) % 10.68/10.93 (compose (compose g (compose a b)) a) = % 10.68/10.93 compose (compose g (compose a b)) a % 10.68/10.93 |- ifeq (codomain a) (codomain (compose (compose h a) a)) % 10.68/10.93 (ifeq (codomain a) (codomain g) % 10.68/10.93 (compose (compose h a) % 10.68/10.93 (compose a (codomain (compose (compose h a) a)))) % 10.68/10.93 (compose (compose h a) a)) (compose (compose h a) a) = % 10.68/10.93 compose (compose h a) a % 10.68/10.93 |- ifeq (codomain a) (codomain (compose (domain $X) a)) % 10.68/10.93 (ifeq (domain $X) (codomain g) % 10.68/10.93 (compose (domain $X) % 10.68/10.93 (compose a (codomain (compose (domain $X) a)))) % 10.68/10.93 (compose (domain $X) a)) (compose (domain $X) a) = % 10.68/10.93 compose (domain $X) a % 10.68/10.93 |- ifeq (codomain b) (codomain (compose (codomain $_1) b)) % 10.68/10.93 (ifeq (codomain $_1) (codomain a) % 10.68/10.93 (compose (codomain $_1) % 10.68/10.93 (compose b (codomain (compose (codomain $_1) b)))) % 10.68/10.93 (compose (codomain $_1) b)) (compose (codomain $_1) b) = % 10.68/10.93 compose (codomain $_1) b % 10.68/10.93 |- ifeq (codomain b) (codomain (compose (compose a b) b)) % 10.68/10.93 (ifeq (codomain b) (codomain a) % 10.68/10.93 (compose (compose a b) % 10.68/10.93 (compose b (codomain (compose (compose a b) b)))) % 10.68/10.93 (compose (compose a b) b)) (compose (compose a b) b) = % 10.68/10.93 compose (compose a b) b % 10.68/10.93 |- ifeq (codomain b) (codomain (compose (compose g (compose a b)) b)) % 10.68/10.93 (ifeq (codomain b) (codomain a) % 10.68/10.93 (compose (compose g (compose a b)) % 10.68/10.93 (compose b (codomain (compose (compose g (compose a b)) b)))) % 10.68/10.93 (compose (compose g (compose a b)) b)) % 10.68/10.93 (compose (compose g (compose a b)) b) = % 10.68/10.93 compose (compose g (compose a b)) b % 10.68/10.93 |- ifeq (codomain b) (codomain (compose (domain $X) b)) % 10.68/10.93 (ifeq (domain $X) (codomain a) % 10.68/10.93 (compose (domain $X) % 10.68/10.93 (compose b (codomain (compose (domain $X) b)))) % 10.68/10.93 (compose (domain $X) b)) (compose (domain $X) b) = % 10.68/10.93 compose (domain $X) b % 10.68/10.93 |- ifeq (codomain g) (codomain (compose (codomain $_1) h)) % 10.68/10.93 (ifeq (codomain $_1) (domain g) % 10.68/10.93 (compose (codomain $_1) % 10.68/10.93 (compose h (codomain (compose (codomain $_1) h)))) % 10.68/10.93 (compose (codomain $_1) h)) (compose (codomain $_1) h) = % 10.68/10.93 compose (codomain $_1) h % 10.68/10.93 |- ifeq (codomain g) (codomain (compose (compose a b) h)) % 10.68/10.93 (ifeq (codomain b) (domain g) % 10.68/10.93 (compose (compose a b) % 10.68/10.93 (compose h (codomain (compose (compose a b) h)))) % 10.68/10.93 (compose (compose a b) h)) (compose (compose a b) h) = % 10.68/10.93 compose (compose a b) h % 10.68/10.93 |- ifeq (codomain g) (codomain (compose (compose g a) h)) % 10.68/10.93 (ifeq (codomain a) (domain g) % 10.68/10.93 (compose (compose g a) % 10.68/10.93 (compose h (codomain (compose (compose g a) h)))) % 10.68/10.93 (compose (compose g a) h)) (compose (compose g a) h) = % 10.68/10.93 compose (compose g a) h % 10.68/10.93 |- ifeq (codomain g) (codomain (compose (compose g (compose a b)) h)) % 10.68/10.93 (ifeq (codomain b) (domain g) % 10.68/10.93 (compose (compose g (compose a b)) % 10.68/10.93 (compose h (codomain (compose (compose g (compose a b)) h)))) % 10.68/10.93 (compose (compose g (compose a b)) h)) % 10.68/10.93 (compose (compose g (compose a b)) h) = % 10.68/10.93 compose (compose g (compose a b)) h % 10.68/10.93 |- ifeq (codomain g) (codomain (compose (compose h a) h)) % 10.68/10.93 (ifeq (codomain a) (domain g) % 10.68/10.93 (compose (compose h a) % 10.68/10.93 (compose h (codomain (compose (compose h a) h)))) % 10.68/10.93 (compose (compose h a) h)) (compose (compose h a) h) = % 10.68/10.93 compose (compose h a) h % 10.68/10.93 |- ifeq (codomain g) (codomain (compose (domain $X) h)) % 10.68/10.93 (ifeq (domain $X) (domain g) % 10.68/10.93 (compose (domain $X) % 10.68/10.93 (compose h (codomain (compose (domain $X) h)))) % 10.68/10.93 (compose (domain $X) h)) (compose (domain $X) h) = % 10.68/10.93 compose (domain $X) h % 10.68/10.93 |- ifeq (codomain a) (domain $_853) % 10.68/10.93 (ifeq (domain (compose a $_853)) (codomain g) (compose a $_853) % 10.68/10.93 (compose (compose (domain (compose a $_853)) a) $_853)) % 10.68/10.93 (compose (compose (domain (compose a $_853)) a) $_853) = % 10.68/10.93 compose (compose (domain (compose a $_853)) a) $_853 % 10.68/10.93 |- ifeq (codomain a) (domain $_853) % 10.68/10.93 (ifeq (codomain $_1) (codomain g) % 10.68/10.93 (compose (codomain $_1) (compose a $_853)) % 10.68/10.93 (compose (compose (codomain $_1) a) $_853)) % 10.68/10.93 (compose (compose (codomain $_1) a) $_853) = % 10.68/10.93 compose (compose (codomain $_1) a) $_853 % 10.68/10.93 |- ifeq (codomain a) (domain $_853) % 10.68/10.93 (ifeq (codomain b) (codomain g) % 10.68/10.93 (compose (compose a b) (compose a $_853)) % 10.68/10.93 (compose (compose (compose a b) a) $_853)) % 10.68/10.93 (compose (compose (compose a b) a) $_853) = % 10.68/10.93 compose (compose (compose a b) a) $_853 % 10.68/10.93 |- ifeq (codomain a) (domain $_853) % 10.68/10.93 (ifeq (codomain a) (codomain g) % 10.68/10.93 (compose (compose g a) (compose a $_853)) % 10.68/10.93 (compose (compose (compose g a) a) $_853)) % 10.68/10.93 (compose (compose (compose g a) a) $_853) = % 10.68/10.93 compose (compose (compose g a) a) $_853 % 10.68/10.93 |- ifeq (codomain a) (domain $_853) % 10.68/10.93 (ifeq (codomain b) (codomain g) % 10.68/10.93 (compose (compose g (compose a b)) (compose a $_853)) % 10.68/10.93 (compose (compose (compose g (compose a b)) a) $_853)) % 10.68/10.93 (compose (compose (compose g (compose a b)) a) $_853) = % 10.68/10.93 compose (compose (compose g (compose a b)) a) $_853 % 10.68/10.93 |- ifeq (codomain a) (domain $_853) % 10.68/10.93 (ifeq (codomain a) (codomain g) % 10.68/10.93 (compose (compose h a) (compose a $_853)) % 10.68/10.93 (compose (compose (compose h a) a) $_853)) % 10.68/10.93 (compose (compose (compose h a) a) $_853) = % 10.68/10.93 compose (compose (compose h a) a) $_853 % 10.68/10.93 |- ifeq (codomain a) (domain $_853) % 10.68/10.93 (ifeq (domain $X) (codomain g) (compose (domain $X) (compose a $_853)) % 10.68/10.93 (compose (compose (domain $X) a) $_853)) % 10.68/10.93 (compose (compose (domain $X) a) $_853) = % 10.68/10.93 compose (compose (domain $X) a) $_853 % 10.68/10.93 |- ifeq (codomain a) (domain $_853) (compose g (compose a $_853)) % 10.68/10.93 (compose (compose g a) $_853) = compose (compose g a) $_853 % 10.68/10.93 |- ifeq (codomain a) (codomain g) % 10.68/10.93 (ifeq (codomain $_852) (codomain g) (compose $_852 (compose a a)) % 10.68/10.93 (compose (compose $_852 a) a)) (compose (compose $_852 a) a) = % 10.68/10.93 compose (compose $_852 a) a % 10.68/10.93 |- ifeq (codomain $_852) (codomain g) (compose $_852 (compose a b)) % 10.68/10.93 (compose (compose $_852 a) b) = compose (compose $_852 a) b % 10.68/10.93 |- ifeq (codomain a) (codomain $X) % 10.68/10.93 (ifeq (codomain $_852) (codomain g) % 10.68/10.93 (compose $_852 (compose a (codomain $X))) % 10.68/10.93 (compose (compose $_852 a) (codomain $X))) % 10.68/10.93 (compose (compose $_852 a) (codomain $X)) = % 10.68/10.93 compose (compose $_852 a) (codomain $X) % 10.68/10.93 |- ifeq (codomain a) (codomain g) % 10.68/10.93 (ifeq (codomain $_852) (codomain g) % 10.68/10.93 (compose $_852 (compose a (compose a b))) % 10.68/10.93 (compose (compose $_852 a) (compose a b))) % 10.68/10.93 (compose (compose $_852 a) (compose a b)) = % 10.68/10.93 compose (compose $_852 a) (compose a b) % 10.68/10.93 |- ifeq (codomain a) (domain g) % 10.68/10.93 (ifeq (codomain $_852) (codomain g) % 10.68/10.93 (compose $_852 (compose a (compose g a))) % 10.68/10.93 (compose (compose $_852 a) (compose g a))) % 10.68/10.93 (compose (compose $_852 a) (compose g a)) = % 10.68/10.93 compose (compose $_852 a) (compose g a) % 10.68/10.93 |- ifeq (codomain a) (domain g) % 10.68/10.93 (ifeq (codomain $_852) (codomain g) % 10.68/10.93 (compose $_852 (compose a (compose g (compose a b)))) % 10.68/10.93 (compose (compose $_852 a) (compose g (compose a b)))) % 10.68/10.93 (compose (compose $_852 a) (compose g (compose a b))) = % 10.68/10.93 compose (compose $_852 a) (compose g (compose a b)) % 10.68/10.93 |- ifeq (codomain a) (domain g) % 10.68/10.93 (ifeq (codomain $_852) (codomain g) % 10.68/10.93 (compose $_852 (compose a (compose h a))) % 10.68/10.93 (compose (compose $_852 a) (compose h a))) % 10.68/10.93 (compose (compose $_852 a) (compose h a)) = % 10.68/10.93 compose (compose $_852 a) (compose h a) % 10.68/10.93 |- ifeq (codomain a) (domain $X) % 10.68/10.93 (ifeq (codomain $_852) (codomain g) % 10.68/10.93 (compose $_852 (compose a (domain $X))) % 10.68/10.93 (compose (compose $_852 a) (domain $X))) % 10.68/10.93 (compose (compose $_852 a) (domain $X)) = % 10.68/10.93 compose (compose $_852 a) (domain $X) % 10.68/10.93 |- ifeq (codomain a) (domain g) % 10.68/10.93 (ifeq (codomain $_852) (codomain g) (compose $_852 (compose a h)) % 10.68/10.93 (compose (compose $_852 a) h)) (compose (compose $_852 a) h) = % 10.68/10.93 compose (compose $_852 a) h % 10.68/10.94 |- compose (compose g a) b = compose g (compose a b) % 10.68/10.94 |- ifeq (codomain $_1) (codomain g) (compose (codomain $_1) (compose a b)) % 10.68/10.94 (compose (compose (codomain $_1) a) b) = % 10.68/10.94 compose (compose (codomain $_1) a) b % 10.68/10.94 |- ifeq (codomain b) (codomain g) (compose (compose a b) (compose a b)) % 10.68/10.94 (compose (compose (compose a b) a) b) = % 10.68/10.94 compose (compose (compose a b) a) b % 10.68/10.94 |- ifeq (codomain b) (codomain g) % 10.68/10.94 (compose (compose g (compose a b)) (compose a b)) % 10.68/10.94 (compose (compose (compose g (compose a b)) a) b) = % 10.68/10.94 compose (compose (compose g (compose a b)) a) b % 10.68/10.94 |- ifeq (codomain a) (codomain g) (compose (compose g a) (compose a b)) % 10.68/10.94 (compose (compose (compose g a) a) b) = % 10.68/10.94 compose (compose (compose g a) a) b % 10.68/10.94 |- ifeq (codomain a) (codomain g) (compose (compose h a) (compose a b)) % 10.68/10.94 (compose (compose (compose h a) a) b) = % 10.68/10.94 compose (compose (compose h a) a) b % 10.68/10.94 |- ifeq (domain $X) (codomain g) (compose (domain $X) (compose a b)) % 10.68/10.94 (compose (compose (domain $X) a) b) = % 10.68/10.94 compose (compose (domain $X) a) b % 10.68/10.94 |- ifeq (codomain $X) (domain g) (compose $X (compose g (compose a b))) % 10.68/10.94 (compose (compose $X (compose g a)) b) = % 10.68/10.94 compose (compose $X (compose g a)) b % 10.68/10.94 |- ifeq (codomain b) (domain $Z) (compose (compose g a) (compose b $Z)) % 10.68/10.94 (compose (compose g (compose a b)) $Z) = % 10.68/10.94 compose (compose g (compose a b)) $Z % 10.68/10.94 |- ifeq (codomain a) (codomain g) (compose g (compose a a)) % 10.68/10.94 (compose (compose g a) a) = compose (compose g a) a % 10.68/10.94 |- ifeq (codomain a) (codomain $X) (compose g (compose a (codomain $X))) % 10.68/10.94 (compose (compose g a) (codomain $X)) = % 10.68/10.94 compose (compose g a) (codomain $X) % 10.68/10.94 |- ifeq (codomain a) (codomain g) (compose g (compose a (compose a b))) % 10.68/10.94 (compose (compose g a) (compose a b)) = % 10.68/10.94 compose (compose g a) (compose a b) % 10.68/10.94 |- ifeq (codomain a) (domain g) (compose g (compose a (compose g a))) % 10.68/10.94 (compose (compose g a) (compose g a)) = % 10.68/10.94 compose (compose g a) (compose g a) % 10.68/10.94 |- ifeq (codomain a) (domain g) % 10.68/10.94 (compose g (compose a (compose g (compose a b)))) % 10.68/10.94 (compose (compose g a) (compose g (compose a b))) = % 10.68/10.94 compose (compose g a) (compose g (compose a b)) % 10.68/10.94 |- ifeq (codomain a) (domain g) (compose g (compose a (compose h a))) % 10.68/10.94 (compose (compose g a) (compose h a)) = % 10.68/10.94 compose (compose g a) (compose h a) % 10.68/10.94 |- ifeq (codomain a) (domain $X) (compose g (compose a (domain $X))) % 10.68/10.94 (compose (compose g a) (domain $X)) = % 10.68/10.94 compose (compose g a) (domain $X) % 10.68/10.94 |- ifeq (codomain a) (domain g) (compose g (compose a h)) % 10.68/10.94 (compose (compose g a) h) = compose (compose g a) h % 10.68/10.94 |- ifeq (codomain a) (codomain g) % 10.68/10.94 (ifeq (domain (compose a a)) (codomain g) (compose a a) % 10.68/10.94 (compose (compose (domain (compose a a)) a) a)) % 10.68/10.94 (compose (compose (domain (compose a a)) a) a) = % 10.68/10.94 compose (compose (domain (compose a a)) a) a % 10.68/10.94 |- ifeq (codomain a) (codomain g) % 10.68/10.94 (ifeq (codomain $_1) (codomain g) % 10.68/10.94 (compose (codomain $_1) (compose a a)) % 10.68/10.94 (compose (compose (codomain $_1) a) a)) % 10.68/10.94 (compose (compose (codomain $_1) a) a) = % 10.68/10.94 compose (compose (codomain $_1) a) a % 10.68/10.94 |- ifeq (codomain a) (codomain g) % 10.68/10.94 (ifeq (codomain b) (codomain g) (compose (compose a b) (compose a a)) % 10.68/10.94 (compose (compose (compose a b) a) a)) % 10.68/10.94 (compose (compose (compose a b) a) a) = % 10.68/10.94 compose (compose (compose a b) a) a % 10.68/10.94 |- ifeq (codomain a) (codomain g) % 10.68/10.94 (ifeq (codomain a) (codomain g) (compose (compose g a) (compose a a)) % 10.68/10.94 (compose (compose (compose g a) a) a)) % 10.68/10.94 (compose (compose (compose g a) a) a) = % 10.68/10.94 compose (compose (compose g a) a) a % 10.68/10.94 |- ifeq (codomain a) (codomain g) % 10.68/10.94 (ifeq (codomain b) (codomain g) % 10.68/10.94 (compose (compose g (compose a b)) (compose a a)) % 10.68/10.94 (compose (compose (compose g (compose a b)) a) a)) % 10.68/10.94 (compose (compose (compose g (compose a b)) a) a) = % 10.68/10.94 compose (compose (compose g (compose a b)) a) a % 10.68/10.94 |- ifeq (codomain a) (codomain g) % 10.68/10.94 (ifeq (codomain a) (codomain g) (compose (compose h a) (compose a a)) % 10.68/10.94 (compose (compose (compose h a) a) a)) % 10.68/10.94 (compose (compose (compose h a) a) a) = % 10.68/10.94 compose (compose (compose h a) a) a % 10.68/10.94 |- ifeq (codomain a) (codomain g) % 10.68/10.94 (ifeq (domain $X) (codomain g) (compose (domain $X) (compose a a)) % 10.68/10.94 (compose (compose (domain $X) a) a)) % 10.68/10.94 (compose (compose (domain $X) a) a) = % 10.68/10.94 compose (compose (domain $X) a) a % 10.68/10.94 |- ifeq (codomain a) (codomain $X) % 10.68/10.94 (ifeq (codomain a) (codomain g) % 10.68/10.94 (compose (compose g a) (compose a (codomain $X))) % 10.68/10.94 (compose (compose (compose g a) a) (codomain $X))) % 10.68/10.94 (compose (compose (compose g a) a) (codomain $X)) = % 10.68/10.94 compose (compose (compose g a) a) (codomain $X) % 10.68/10.94 |- ifeq (codomain a) (codomain g) % 10.68/10.94 (ifeq (codomain a) (codomain g) % 10.68/10.94 (compose (compose g a) (compose a (compose a b))) % 10.68/10.94 (compose (compose (compose g a) a) (compose a b))) % 10.68/10.94 (compose (compose (compose g a) a) (compose a b)) = % 10.68/10.94 compose (compose (compose g a) a) (compose a b) % 10.68/10.94 |- ifeq (codomain a) (domain g) % 10.68/10.94 (ifeq (codomain a) (codomain g) % 10.68/10.94 (compose (compose g a) (compose a (compose g a))) % 10.68/10.94 (compose (compose (compose g a) a) (compose g a))) % 10.68/10.94 (compose (compose (compose g a) a) (compose g a)) = % 10.68/10.94 compose (compose (compose g a) a) (compose g a) % 10.68/10.94 |- ifeq (codomain a) (domain g) % 10.68/10.94 (ifeq (codomain a) (codomain g) % 10.68/10.94 (compose (compose g a) (compose a (compose g (compose a b)))) % 10.68/10.94 (compose (compose (compose g a) a) (compose g (compose a b)))) % 10.68/10.94 (compose (compose (compose g a) a) (compose g (compose a b))) = % 10.68/10.94 compose (compose (compose g a) a) (compose g (compose a b)) % 10.68/10.95 |- ifeq (codomain a) (domain g) % 10.68/10.95 (ifeq (codomain a) (codomain g) % 10.68/10.95 (compose (compose g a) (compose a (compose h a))) % 10.68/10.95 (compose (compose (compose g a) a) (compose h a))) % 10.68/10.95 (compose (compose (compose g a) a) (compose h a)) = % 10.68/10.95 compose (compose (compose g a) a) (compose h a) % 10.68/10.95 |- ifeq (codomain a) (domain $X) % 10.68/10.95 (ifeq (codomain a) (codomain g) % 10.68/10.95 (compose (compose g a) (compose a (domain $X))) % 10.68/10.95 (compose (compose (compose g a) a) (domain $X))) % 10.68/10.95 (compose (compose (compose g a) a) (domain $X)) = % 10.68/10.95 compose (compose (compose g a) a) (domain $X) % 10.68/10.95 |- ifeq (codomain a) (domain g) % 10.68/10.95 (ifeq (codomain a) (codomain g) (compose (compose g a) (compose a h)) % 10.68/10.95 (compose (compose (compose g a) a) h)) % 10.68/10.95 (compose (compose (compose g a) a) h) = % 10.68/10.95 compose (compose (compose g a) a) h % 10.68/10.95 |- ifeq (codomain a) (codomain g) % 10.68/10.95 (ifeq (domain (compose a (compose a b))) (codomain g) % 10.68/10.95 (compose a (compose a b)) % 10.68/10.95 (compose (compose (domain (compose a (compose a b))) a) % 10.68/10.95 (compose a b))) % 10.68/10.95 (compose (compose (domain (compose a (compose a b))) a) % 10.68/10.95 (compose a b)) = % 10.68/10.95 compose (compose (domain (compose a (compose a b))) a) (compose a b) % 10.68/10.95 |- ifeq (codomain a) (codomain g) % 10.68/10.95 (ifeq (codomain $_1) (codomain g) % 10.68/10.95 (compose (codomain $_1) (compose a (compose a b))) % 10.68/10.95 (compose (compose (codomain $_1) a) (compose a b))) % 10.68/10.95 (compose (compose (codomain $_1) a) (compose a b)) = % 10.68/10.95 compose (compose (codomain $_1) a) (compose a b) % 10.68/10.95 |- ifeq (codomain a) (codomain g) % 10.68/10.95 (ifeq (codomain b) (codomain g) % 10.68/10.95 (compose (compose a b) (compose a (compose a b))) % 10.68/10.95 (compose (compose (compose a b) a) (compose a b))) % 10.68/10.95 (compose (compose (compose a b) a) (compose a b)) = % 10.68/10.95 compose (compose (compose a b) a) (compose a b) % 10.68/10.95 |- ifeq (codomain a) (codomain g) % 10.68/10.95 (ifeq (codomain b) (codomain g) % 10.68/10.95 (compose (compose g (compose a b)) (compose a (compose a b))) % 10.68/10.95 (compose (compose (compose g (compose a b)) a) (compose a b))) % 10.68/10.95 (compose (compose (compose g (compose a b)) a) (compose a b)) = % 10.68/10.95 compose (compose (compose g (compose a b)) a) (compose a b) % 10.68/10.95 |- ifeq (codomain a) (codomain g) % 10.68/10.95 (ifeq (codomain a) (codomain g) % 10.68/10.95 (compose (compose h a) (compose a (compose a b))) % 10.68/10.95 (compose (compose (compose h a) a) (compose a b))) % 10.68/10.95 (compose (compose (compose h a) a) (compose a b)) = % 10.68/10.95 compose (compose (compose h a) a) (compose a b) % 10.68/10.95 |- ifeq (codomain a) (codomain g) % 10.68/10.95 (ifeq (domain $X) (codomain g) % 10.68/10.95 (compose (domain $X) (compose a (compose a b))) % 10.68/10.95 (compose (compose (domain $X) a) (compose a b))) % 10.68/10.95 (compose (compose (domain $X) a) (compose a b)) = % 10.68/10.95 compose (compose (domain $X) a) (compose a b) % 10.68/10.95 |- ifeq (codomain b) (codomain g) (compose (compose g a) (compose b a)) % 10.68/10.95 (compose (compose g (compose a b)) a) = % 10.68/10.95 compose (compose g (compose a b)) a % 10.68/10.95 |- ifeq (codomain b) (codomain a) (compose (compose g a) (compose b b)) % 10.68/10.95 (compose (compose g (compose a b)) b) = % 10.68/10.95 compose (compose g (compose a b)) b % 10.68/10.95 |- ifeq (codomain b) (codomain $X) % 10.68/10.95 (compose (compose g a) (compose b (codomain $X))) % 10.68/10.95 (compose (compose g (compose a b)) (codomain $X)) = % 10.68/10.95 compose (compose g (compose a b)) (codomain $X) % 10.68/10.95 |- ifeq (codomain b) (codomain g) % 10.68/10.95 (compose (compose g a) (compose b (compose a b))) % 10.68/10.95 (compose (compose g (compose a b)) (compose a b)) = % 10.68/10.95 compose (compose g (compose a b)) (compose a b) % 10.68/10.95 |- ifeq (codomain b) (domain g) % 10.68/10.95 (compose (compose g a) (compose b (compose g a))) % 10.68/10.95 (compose (compose g (compose a b)) (compose g a)) = % 10.68/10.95 compose (compose g (compose a b)) (compose g a) % 10.68/10.95 |- ifeq (codomain b) (domain g) % 10.68/10.95 (compose (compose g a) (compose b (compose g (compose a b)))) % 10.68/10.95 (compose (compose g (compose a b)) (compose g (compose a b))) = % 10.68/10.95 compose (compose g (compose a b)) (compose g (compose a b)) % 10.68/10.95 |- ifeq (codomain b) (domain g) % 10.68/10.95 (compose (compose g a) (compose b (compose h a))) % 10.68/10.95 (compose (compose g (compose a b)) (compose h a)) = % 10.68/10.95 compose (compose g (compose a b)) (compose h a) % 10.68/10.95 |- ifeq (codomain b) (domain $X) % 10.68/10.95 (compose (compose g a) (compose b (domain $X))) % 10.68/10.95 (compose (compose g (compose a b)) (domain $X)) = % 10.68/10.95 compose (compose g (compose a b)) (domain $X) % 10.68/10.95 |- ifeq (codomain b) (domain g) (compose (compose g a) (compose b h)) % 10.68/10.95 (compose (compose g (compose a b)) h) = % 10.68/10.95 compose (compose g (compose a b)) h % 10.68/10.95 |- ifeq (codomain a) (codomain $X) % 10.68/10.95 (ifeq (domain (compose a (codomain $X))) (codomain g) % 10.68/10.95 (compose a (codomain $X)) % 10.68/10.95 (compose (compose (domain (compose a (codomain $X))) a) % 10.68/10.95 (codomain $X))) % 10.68/10.95 (compose (compose (domain (compose a (codomain $X))) a) % 10.68/10.95 (codomain $X)) = % 10.68/10.95 compose (compose (domain (compose a (codomain $X))) a) (codomain $X) % 10.68/10.95 |- ifeq (codomain a) (domain g) % 10.68/10.95 (ifeq (domain (compose a (compose g a))) (codomain g) % 10.68/10.95 (compose a (compose g a)) % 10.68/10.95 (compose (compose (domain (compose a (compose g a))) a) % 10.68/10.95 (compose g a))) % 10.68/10.95 (compose (compose (domain (compose a (compose g a))) a) % 10.68/10.95 (compose g a)) = % 10.68/10.95 compose (compose (domain (compose a (compose g a))) a) (compose g a) % 10.68/10.95 |- ifeq (codomain a) (domain g) % 10.68/10.95 (ifeq (domain (compose a (compose g (compose a b)))) (codomain g) % 10.68/10.95 (compose a (compose g (compose a b))) % 10.68/10.95 (compose (compose (domain (compose a (compose g (compose a b)))) a) % 10.68/10.95 (compose g (compose a b)))) % 10.68/10.95 (compose (compose (domain (compose a (compose g (compose a b)))) a) % 10.68/10.95 (compose g (compose a b))) = % 10.68/10.95 compose (compose (domain (compose a (compose g (compose a b)))) a) % 10.68/10.95 (compose g (compose a b)) % 10.68/10.95 |- ifeq (codomain a) (domain g) % 10.68/10.95 (ifeq (domain (compose a (compose h a))) (codomain g) % 10.68/10.95 (compose a (compose h a)) % 10.68/10.95 (compose (compose (domain (compose a (compose h a))) a) % 10.68/10.95 (compose h a))) % 10.68/10.95 (compose (compose (domain (compose a (compose h a))) a) % 10.68/10.95 (compose h a)) = % 10.68/10.95 compose (compose (domain (compose a (compose h a))) a) (compose h a) % 10.68/10.95 |- ifeq (codomain a) (domain $X) % 10.68/10.95 (ifeq (domain (compose a (domain $X))) (codomain g) % 10.68/10.95 (compose a (domain $X)) % 10.68/10.95 (compose (compose (domain (compose a (domain $X))) a) (domain $X))) % 10.68/10.95 (compose (compose (domain (compose a (domain $X))) a) (domain $X)) = % 10.68/10.95 compose (compose (domain (compose a (domain $X))) a) (domain $X) % 10.68/10.95 |- ifeq (codomain a) (domain g) % 10.68/10.95 (ifeq (domain (compose a h)) (codomain g) (compose a h) % 10.68/10.95 (compose (compose (domain (compose a h)) a) h)) % 10.68/10.95 (compose (compose (domain (compose a h)) a) h) = % 10.68/10.95 compose (compose (domain (compose a h)) a) h % 10.68/10.95 |- ifeq (codomain b) (domain $_874) % 10.68/10.95 (ifeq (domain (compose b $_874)) (codomain a) (compose b $_874) % 10.68/10.95 (compose (compose (domain (compose b $_874)) b) $_874)) % 10.68/10.95 (compose (compose (domain (compose b $_874)) b) $_874) = % 10.68/10.95 compose (compose (domain (compose b $_874)) b) $_874 % 10.68/10.95 |- ifeq (codomain b) (domain $_874) % 10.68/10.95 (ifeq (codomain $_1) (codomain a) % 10.68/10.95 (compose (codomain $_1) (compose b $_874)) % 10.68/10.95 (compose (compose (codomain $_1) b) $_874)) % 10.68/10.95 (compose (compose (codomain $_1) b) $_874) = % 10.68/10.95 compose (compose (codomain $_1) b) $_874 % 10.68/10.95 |- ifeq (codomain b) (domain $_874) % 10.68/10.95 (ifeq (codomain b) (codomain a) % 10.68/10.95 (compose (compose a b) (compose b $_874)) % 10.68/10.95 (compose (compose (compose a b) b) $_874)) % 10.68/10.95 (compose (compose (compose a b) b) $_874) = % 10.68/10.95 compose (compose (compose a b) b) $_874 % 10.68/10.95 |- ifeq (codomain b) (domain $_874) % 10.68/10.95 (ifeq (codomain b) (codomain a) % 10.68/10.95 (compose (compose g (compose a b)) (compose b $_874)) % 10.68/10.95 (compose (compose (compose g (compose a b)) b) $_874)) % 10.68/10.95 (compose (compose (compose g (compose a b)) b) $_874) = % 10.68/10.95 compose (compose (compose g (compose a b)) b) $_874 % 10.68/10.95 |- ifeq (codomain b) (domain $_874) % 10.68/10.95 (ifeq (domain $X) (codomain a) (compose (domain $X) (compose b $_874)) % 10.68/10.95 (compose (compose (domain $X) b) $_874)) % 10.68/10.95 (compose (compose (domain $X) b) $_874) = % 10.68/10.95 compose (compose (domain $X) b) $_874 % 10.68/10.95 |- ifeq (codomain b) (domain $_874) (compose a (compose b $_874)) % 10.68/10.95 (compose (compose a b) $_874) = compose (compose a b) $_874 % 10.68/10.95 |- ifeq (codomain b) (codomain g) % 10.68/10.95 (ifeq (codomain $_873) (codomain a) (compose $_873 (compose b a)) % 10.68/10.95 (compose (compose $_873 b) a)) (compose (compose $_873 b) a) = % 10.68/10.95 compose (compose $_873 b) a % 10.68/10.95 |- ifeq (codomain b) (codomain a) % 10.68/10.95 (ifeq (codomain $_873) (codomain a) (compose $_873 (compose b b)) % 10.68/10.95 (compose (compose $_873 b) b)) (compose (compose $_873 b) b) = % 10.68/10.95 compose (compose $_873 b) b % 10.68/10.95 |- ifeq (codomain b) (codomain $X) % 10.68/10.95 (ifeq (codomain $_873) (codomain a) % 10.68/10.95 (compose $_873 (compose b (codomain $X))) % 10.68/10.95 (compose (compose $_873 b) (codomain $X))) % 10.68/10.95 (compose (compose $_873 b) (codomain $X)) = % 10.68/10.95 compose (compose $_873 b) (codomain $X) % 10.68/10.95 |- ifeq (codomain b) (codomain g) % 10.68/10.95 (ifeq (codomain $_873) (codomain a) % 10.68/10.95 (compose $_873 (compose b (compose a b))) % 10.68/10.95 (compose (compose $_873 b) (compose a b))) % 10.68/10.95 (compose (compose $_873 b) (compose a b)) = % 10.68/10.95 compose (compose $_873 b) (compose a b) % 10.68/10.95 |- ifeq (codomain b) (domain g) % 10.68/10.95 (ifeq (codomain $_873) (codomain a) % 10.68/10.95 (compose $_873 (compose b (compose g a))) % 10.68/10.95 (compose (compose $_873 b) (compose g a))) % 10.68/10.95 (compose (compose $_873 b) (compose g a)) = % 10.68/10.95 compose (compose $_873 b) (compose g a) % 10.68/10.95 |- ifeq (codomain b) (domain g) % 10.68/10.95 (ifeq (codomain $_873) (codomain a) % 10.68/10.95 (compose $_873 (compose b (compose g (compose a b)))) % 10.68/10.95 (compose (compose $_873 b) (compose g (compose a b)))) % 10.68/10.95 (compose (compose $_873 b) (compose g (compose a b))) = % 10.68/10.95 compose (compose $_873 b) (compose g (compose a b)) % 10.68/10.95 |- ifeq (codomain b) (domain g) % 10.68/10.95 (ifeq (codomain $_873) (codomain a) % 10.68/10.95 (compose $_873 (compose b (compose h a))) % 10.68/10.95 (compose (compose $_873 b) (compose h a))) % 10.68/10.95 (compose (compose $_873 b) (compose h a)) = % 10.68/10.95 compose (compose $_873 b) (compose h a) % 10.68/10.95 |- ifeq (codomain b) (domain $X) % 10.68/10.95 (ifeq (codomain $_873) (codomain a) % 10.68/10.95 (compose $_873 (compose b (domain $X))) % 10.68/10.95 (compose (compose $_873 b) (domain $X))) % 10.68/10.95 (compose (compose $_873 b) (domain $X)) = % 10.68/10.95 compose (compose $_873 b) (domain $X) % 10.68/10.95 |- ifeq (codomain b) (domain g) % 10.68/10.95 (ifeq (codomain $_873) (codomain a) (compose $_873 (compose b h)) % 10.68/10.95 (compose (compose $_873 b) h)) (compose (compose $_873 b) h) = % 10.68/10.95 compose (compose $_873 b) h % 10.68/10.95 |- ifeq (codomain b) (codomain g) (compose a (compose b a)) % 10.68/10.95 (compose (compose a b) a) = compose (compose a b) a % 10.68/10.95 |- ifeq (codomain b) (codomain a) (compose a (compose b b)) % 10.68/10.95 (compose (compose a b) b) = compose (compose a b) b % 10.68/10.95 |- ifeq (codomain b) (codomain $X) (compose a (compose b (codomain $X))) % 10.68/10.95 (compose (compose a b) (codomain $X)) = % 10.68/10.95 compose (compose a b) (codomain $X) % 10.68/10.95 |- ifeq (codomain b) (codomain g) (compose a (compose b (compose a b))) % 10.68/10.95 (compose (compose a b) (compose a b)) = % 10.68/10.95 compose (compose a b) (compose a b) % 10.68/10.95 |- ifeq (codomain b) (domain g) (compose a (compose b (compose g a))) % 10.68/10.95 (compose (compose a b) (compose g a)) = % 10.68/10.95 compose (compose a b) (compose g a) % 10.68/10.95 |- ifeq (codomain b) (domain g) % 10.68/10.95 (compose a (compose b (compose g (compose a b)))) % 10.68/10.95 (compose (compose a b) (compose g (compose a b))) = % 10.68/10.95 compose (compose a b) (compose g (compose a b)) % 10.68/10.95 |- ifeq (codomain b) (domain g) (compose a (compose b (compose h a))) % 10.68/10.95 (compose (compose a b) (compose h a)) = % 10.68/10.95 compose (compose a b) (compose h a) % 10.68/10.95 |- ifeq (codomain b) (domain $X) (compose a (compose b (domain $X))) % 10.68/10.95 (compose (compose a b) (domain $X)) = % 10.68/10.95 compose (compose a b) (domain $X) % 10.68/10.95 |- ifeq (codomain b) (domain g) (compose a (compose b h)) % 10.68/10.95 (compose (compose a b) h) = compose (compose a b) h % 10.68/10.95 |- ifeq (codomain b) (codomain a) % 10.68/10.95 (ifeq (domain (compose b b)) (codomain a) (compose b b) % 10.68/10.95 (compose (compose (domain (compose b b)) b) b)) % 10.68/10.95 (compose (compose (domain (compose b b)) b) b) = % 10.68/10.95 compose (compose (domain (compose b b)) b) b % 10.68/10.95 |- ifeq (codomain b) (codomain a) % 10.68/10.95 (ifeq (codomain $_1) (codomain a) % 10.68/10.95 (compose (codomain $_1) (compose b b)) % 10.68/10.95 (compose (compose (codomain $_1) b) b)) % 10.68/10.95 (compose (compose (codomain $_1) b) b) = % 10.68/10.95 compose (compose (codomain $_1) b) b % 10.68/10.95 |- ifeq (codomain b) (codomain a) % 10.68/10.95 (ifeq (codomain b) (codomain a) (compose (compose a b) (compose b b)) % 10.68/10.95 (compose (compose (compose a b) b) b)) % 10.68/10.95 (compose (compose (compose a b) b) b) = % 10.68/10.95 compose (compose (compose a b) b) b % 10.68/10.95 |- ifeq (codomain b) (codomain a) % 10.68/10.95 (ifeq (codomain b) (codomain a) % 10.68/10.95 (compose (compose g (compose a b)) (compose b b)) % 10.68/10.95 (compose (compose (compose g (compose a b)) b) b)) % 10.68/10.95 (compose (compose (compose g (compose a b)) b) b) = % 10.68/10.95 compose (compose (compose g (compose a b)) b) b % 10.68/10.95 |- ifeq (codomain b) (codomain a) % 10.68/10.95 (ifeq (domain $X) (codomain a) (compose (domain $X) (compose b b)) % 10.68/10.95 (compose (compose (domain $X) b) b)) % 10.68/10.95 (compose (compose (domain $X) b) b) = % 10.68/10.95 compose (compose (domain $X) b) b % 10.68/10.95 |- ifeq (codomain b) (domain g) % 10.68/10.95 (ifeq (domain (compose b h)) (codomain a) (compose b h) % 10.68/10.95 (compose (compose (domain (compose b h)) b) h)) % 10.68/10.95 (compose (compose (domain (compose b h)) b) h) = % 10.68/10.95 compose (compose (domain (compose b h)) b) h % 10.68/10.95 |- ifeq (codomain b) (domain g) % 10.68/10.95 (ifeq (codomain $_1) (codomain a) % 10.68/10.95 (compose (codomain $_1) (compose b h)) % 10.68/10.95 (compose (compose (codomain $_1) b) h)) % 10.68/10.95 (compose (compose (codomain $_1) b) h) = % 10.68/10.95 compose (compose (codomain $_1) b) h % 10.68/10.95 |- ifeq (codomain b) (domain g) % 10.68/10.95 (ifeq (codomain b) (codomain a) (compose (compose a b) (compose b h)) % 10.68/10.95 (compose (compose (compose a b) b) h)) % 10.68/10.95 (compose (compose (compose a b) b) h) = % 10.68/10.95 compose (compose (compose a b) b) h % 10.68/10.95 |- ifeq (codomain b) (domain g) % 10.68/10.95 (ifeq (codomain b) (codomain a) % 10.68/10.95 (compose (compose g (compose a b)) (compose b h)) % 10.68/10.95 (compose (compose (compose g (compose a b)) b) h)) % 10.68/10.95 (compose (compose (compose g (compose a b)) b) h) = % 10.68/10.95 compose (compose (compose g (compose a b)) b) h % 10.68/10.95 |- ifeq (codomain b) (domain g) % 10.68/10.95 (ifeq (domain $X) (codomain a) (compose (domain $X) (compose b h)) % 10.68/10.95 (compose (compose (domain $X) b) h)) % 10.68/10.95 (compose (compose (domain $X) b) h) = % 10.68/10.95 compose (compose (domain $X) b) h % 10.68/10.95 |- ifeq (codomain b) (codomain g) % 10.68/10.95 (ifeq (domain (compose b a)) (codomain a) (compose b a) % 10.68/10.95 (compose (compose (domain (compose b a)) b) a)) % 10.68/10.95 (compose (compose (domain (compose b a)) b) a) = % 10.68/10.95 compose (compose (domain (compose b a)) b) a % 10.68/10.96 |- ifeq (codomain b) (codomain g) % 10.68/10.96 (ifeq (codomain $_1) (codomain a) % 10.68/10.96 (compose (codomain $_1) (compose b a)) % 10.68/10.96 (compose (compose (codomain $_1) b) a)) % 10.68/10.96 (compose (compose (codomain $_1) b) a) = % 10.68/10.96 compose (compose (codomain $_1) b) a % 10.68/10.96 |- ifeq (codomain b) (codomain g) % 10.68/10.96 (ifeq (codomain b) (codomain a) (compose (compose a b) (compose b a)) % 10.68/10.96 (compose (compose (compose a b) b) a)) % 10.68/10.96 (compose (compose (compose a b) b) a) = % 10.68/10.96 compose (compose (compose a b) b) a % 10.68/10.96 |- ifeq (codomain b) (codomain g) % 10.68/10.96 (ifeq (codomain b) (codomain a) % 10.68/10.96 (compose (compose g (compose a b)) (compose b a)) % 10.68/10.96 (compose (compose (compose g (compose a b)) b) a)) % 10.68/10.96 (compose (compose (compose g (compose a b)) b) a) = % 10.68/10.96 compose (compose (compose g (compose a b)) b) a % 10.68/10.96 |- ifeq (codomain b) (codomain g) % 10.68/10.96 (ifeq (domain $X) (codomain a) (compose (domain $X) (compose b a)) % 10.68/10.96 (compose (compose (domain $X) b) a)) % 10.68/10.96 (compose (compose (domain $X) b) a) = % 10.68/10.96 compose (compose (domain $X) b) a % 10.68/10.96 |- ifeq (codomain b) (domain g) % 10.68/10.96 (ifeq (domain (compose b (compose h a))) (codomain a) % 10.68/10.96 (compose b (compose h a)) % 10.68/10.96 (compose (compose (domain (compose b (compose h a))) b) % 10.68/10.96 (compose h a))) % 10.68/10.96 (compose (compose (domain (compose b (compose h a))) b) % 10.68/10.96 (compose h a)) = % 10.68/10.96 compose (compose (domain (compose b (compose h a))) b) (compose h a) % 10.68/10.96 |- ifeq (codomain b) (domain g) % 10.68/10.96 (ifeq (codomain $_1) (codomain a) % 10.68/10.96 (compose (codomain $_1) (compose b (compose h a))) % 10.68/10.96 (compose (compose (codomain $_1) b) (compose h a))) % 10.68/10.96 (compose (compose (codomain $_1) b) (compose h a)) = % 10.68/10.96 compose (compose (codomain $_1) b) (compose h a) % 10.68/10.96 |- ifeq (codomain b) (domain g) % 10.68/10.96 (ifeq (codomain b) (codomain a) % 10.68/10.96 (compose (compose a b) (compose b (compose h a))) % 10.68/10.96 (compose (compose (compose a b) b) (compose h a))) % 10.68/10.96 (compose (compose (compose a b) b) (compose h a)) = % 10.68/10.96 compose (compose (compose a b) b) (compose h a) % 10.68/10.96 |- ifeq (codomain b) (domain g) % 10.68/10.96 (ifeq (codomain b) (codomain a) % 10.68/10.96 (compose (compose g (compose a b)) (compose b (compose h a))) % 10.68/10.96 (compose (compose (compose g (compose a b)) b) (compose h a))) % 10.68/10.96 (compose (compose (compose g (compose a b)) b) (compose h a)) = % 10.68/10.96 compose (compose (compose g (compose a b)) b) (compose h a) % 10.68/10.96 |- ifeq (codomain b) (domain g) % 10.68/10.96 (ifeq (domain $X) (codomain a) % 10.68/10.96 (compose (domain $X) (compose b (compose h a))) % 10.68/10.96 (compose (compose (domain $X) b) (compose h a))) % 10.68/10.96 (compose (compose (domain $X) b) (compose h a)) = % 10.68/10.96 compose (compose (domain $X) b) (compose h a) % 10.68/10.96 |- ifeq (codomain b) (domain g) % 10.68/10.96 (ifeq (codomain g) (codomain a) (compose h (compose b (compose h a))) % 10.68/10.96 (compose (compose h b) (compose h a))) % 10.68/10.96 (compose (compose h b) (compose h a)) = % 10.68/10.96 compose (compose h b) (compose h a) % 10.68/10.96 |- ifeq (codomain g) (domain $_886) % 10.68/10.96 (ifeq (domain (compose h $_886)) (domain g) (compose h $_886) % 10.68/10.96 (compose (compose (domain (compose h $_886)) h) $_886)) % 10.68/10.96 (compose (compose (domain (compose h $_886)) h) $_886) = % 10.68/10.96 compose (compose (domain (compose h $_886)) h) $_886 % 10.68/10.96 |- ifeq (codomain g) (domain $_886) % 10.68/10.96 (ifeq (codomain $_1) (domain g) % 10.68/10.96 (compose (codomain $_1) (compose h $_886)) % 10.68/10.96 (compose (compose (codomain $_1) h) $_886)) % 10.68/10.96 (compose (compose (codomain $_1) h) $_886) = % 10.68/10.96 compose (compose (codomain $_1) h) $_886 % 10.68/10.96 |- ifeq (codomain g) (domain $_886) % 10.68/10.96 (ifeq (codomain b) (domain g) % 10.68/10.96 (compose (compose a b) (compose h $_886)) % 10.68/10.96 (compose (compose (compose a b) h) $_886)) % 10.68/10.96 (compose (compose (compose a b) h) $_886) = % 10.68/10.96 compose (compose (compose a b) h) $_886 % 10.68/10.96 |- ifeq (codomain g) (domain $_886) % 10.68/10.96 (ifeq (codomain a) (domain g) % 10.68/10.96 (compose (compose g a) (compose h $_886)) % 10.68/10.96 (compose (compose (compose g a) h) $_886)) % 10.68/10.96 (compose (compose (compose g a) h) $_886) = % 10.68/10.96 compose (compose (compose g a) h) $_886 % 10.68/10.96 |- ifeq (codomain g) (domain $_886) % 10.68/10.96 (ifeq (codomain b) (domain g) % 10.68/10.96 (compose (compose g (compose a b)) (compose h $_886)) % 10.68/10.96 (compose (compose (compose g (compose a b)) h) $_886)) % 10.68/10.96 (compose (compose (compose g (compose a b)) h) $_886) = % 10.68/10.96 compose (compose (compose g (compose a b)) h) $_886 % 10.68/10.96 |- ifeq (codomain g) (domain $_886) % 10.68/10.96 (ifeq (codomain a) (domain g) % 10.68/10.96 (compose (compose h a) (compose h $_886)) % 10.68/10.96 (compose (compose (compose h a) h) $_886)) % 10.68/10.96 (compose (compose (compose h a) h) $_886) = % 10.68/10.96 compose (compose (compose h a) h) $_886 % 10.68/10.96 |- ifeq (codomain g) (domain $_886) % 10.68/10.96 (ifeq (domain $X) (domain g) (compose (domain $X) (compose h $_886)) % 10.68/10.96 (compose (compose (domain $X) h) $_886)) % 10.68/10.96 (compose (compose (domain $X) h) $_886) = % 10.68/10.96 compose (compose (domain $X) h) $_886 % 10.68/10.96 |- ifeq (codomain $_885) (domain g) (compose $_885 (compose h a)) % 10.68/10.96 (compose (compose $_885 h) a) = compose (compose $_885 h) a % 10.68/10.96 |- ifeq (codomain g) (codomain a) % 10.68/10.96 (ifeq (codomain $_885) (domain g) (compose $_885 (compose h b)) % 10.68/10.96 (compose (compose $_885 h) b)) (compose (compose $_885 h) b) = % 10.68/10.96 compose (compose $_885 h) b % 10.68/10.96 |- ifeq (codomain g) (codomain $X) % 10.68/10.96 (ifeq (codomain $_885) (domain g) % 10.68/10.96 (compose $_885 (compose h (codomain $X))) % 10.68/10.96 (compose (compose $_885 h) (codomain $X))) % 10.68/10.96 (compose (compose $_885 h) (codomain $X)) = % 10.68/10.96 compose (compose $_885 h) (codomain $X) % 10.68/10.96 |- ifeq (codomain g) (domain g) % 10.68/10.96 (ifeq (codomain $_885) (domain g) % 10.68/10.96 (compose $_885 (compose h (compose g a))) % 10.68/10.96 (compose (compose $_885 h) (compose g a))) % 10.68/10.96 (compose (compose $_885 h) (compose g a)) = % 10.68/10.96 compose (compose $_885 h) (compose g a) % 10.68/10.96 |- ifeq (codomain g) (domain g) % 10.68/10.96 (ifeq (codomain $_885) (domain g) % 10.68/10.96 (compose $_885 (compose h (compose g (compose a b)))) % 10.68/10.96 (compose (compose $_885 h) (compose g (compose a b)))) % 10.68/10.96 (compose (compose $_885 h) (compose g (compose a b))) = % 10.68/10.96 compose (compose $_885 h) (compose g (compose a b)) % 10.68/10.96 |- ifeq (codomain g) (domain g) % 10.68/10.96 (ifeq (codomain $_885) (domain g) % 10.68/10.96 (compose $_885 (compose h (compose h a))) % 10.68/10.96 (compose (compose $_885 h) (compose h a))) % 10.68/10.96 (compose (compose $_885 h) (compose h a)) = % 10.68/10.96 compose (compose $_885 h) (compose h a) % 10.68/10.96 |- ifeq (codomain g) (domain $X) % 10.68/10.96 (ifeq (codomain $_885) (domain g) % 10.68/10.96 (compose $_885 (compose h (domain $X))) % 10.68/10.96 (compose (compose $_885 h) (domain $X))) % 10.68/10.96 (compose (compose $_885 h) (domain $X)) = % 10.68/10.96 compose (compose $_885 h) (domain $X) % 10.68/10.96 |- ifeq (codomain g) (domain g) % 10.68/10.96 (ifeq (codomain $_885) (domain g) (compose $_885 (compose h h)) % 10.68/10.96 (compose (compose $_885 h) h)) (compose (compose $_885 h) h) = % 10.68/10.96 compose (compose $_885 h) h % 10.68/10.96 |- ifeq (codomain $_1) (domain g) (compose (codomain $_1) (compose h a)) % 10.68/10.96 (compose (compose (codomain $_1) h) a) = % 10.68/10.96 compose (compose (codomain $_1) h) a % 10.68/10.96 |- ifeq (codomain b) (domain g) (compose (compose a b) (compose h a)) % 10.68/10.96 (compose (compose (compose a b) h) a) = % 10.68/10.96 compose (compose (compose a b) h) a % 10.68/10.96 |- ifeq (codomain a) (domain g) (compose (compose g a) (compose h a)) % 10.68/10.96 (compose (compose (compose g a) h) a) = % 10.68/10.96 compose (compose (compose g a) h) a % 10.68/10.96 |- ifeq (codomain b) (domain g) % 10.68/10.96 (compose (compose g (compose a b)) (compose h a)) % 10.68/10.96 (compose (compose (compose g (compose a b)) h) a) = % 10.68/10.96 compose (compose (compose g (compose a b)) h) a % 10.68/10.96 |- ifeq (codomain a) (domain g) (compose (compose h a) (compose h a)) % 10.68/10.96 (compose (compose (compose h a) h) a) = % 10.68/10.96 compose (compose (compose h a) h) a % 10.68/10.96 |- ifeq (domain $X) (domain g) (compose (domain $X) (compose h a)) % 10.68/10.96 (compose (compose (domain $X) h) a) = % 10.68/10.96 compose (compose (domain $X) h) a % 10.68/10.96 |- ifeq (codomain g) (codomain a) % 10.68/10.96 (ifeq (domain (compose h b)) (domain g) (compose h b) % 10.68/10.96 (compose (compose (domain (compose h b)) h) b)) % 10.68/10.96 (compose (compose (domain (compose h b)) h) b) = % 10.68/10.96 compose (compose (domain (compose h b)) h) b % 10.68/10.96 |- ifeq (codomain g) (codomain a) % 10.68/10.96 (ifeq (codomain $_1) (domain g) (compose (codomain $_1) (compose h b)) % 10.68/10.96 (compose (compose (codomain $_1) h) b)) % 10.68/10.96 (compose (compose (codomain $_1) h) b) = % 10.68/10.96 compose (compose (codomain $_1) h) b % 10.68/10.96 |- ifeq (codomain g) (codomain a) % 10.68/10.96 (ifeq (codomain b) (domain g) (compose (compose a b) (compose h b)) % 10.68/10.96 (compose (compose (compose a b) h) b)) % 10.68/10.96 (compose (compose (compose a b) h) b) = % 10.68/10.96 compose (compose (compose a b) h) b % 10.68/10.96 |- ifeq (codomain g) (codomain a) % 10.68/10.96 (ifeq (codomain a) (domain g) (compose (compose g a) (compose h b)) % 10.68/10.96 (compose (compose (compose g a) h) b)) % 10.68/10.96 (compose (compose (compose g a) h) b) = % 10.68/10.96 compose (compose (compose g a) h) b % 10.68/10.96 |- ifeq (codomain g) (codomain a) % 10.68/10.96 (ifeq (codomain b) (domain g) % 10.68/10.96 (compose (compose g (compose a b)) (compose h b)) % 10.68/10.96 (compose (compose (compose g (compose a b)) h) b)) % 10.68/10.96 (compose (compose (compose g (compose a b)) h) b) = % 10.68/10.96 compose (compose (compose g (compose a b)) h) b % 10.68/10.96 |- ifeq (codomain g) (codomain a) % 10.68/10.96 (ifeq (codomain a) (domain g) (compose (compose h a) (compose h b)) % 10.68/10.96 (compose (compose (compose h a) h) b)) % 10.68/10.96 (compose (compose (compose h a) h) b) = % 10.68/10.96 compose (compose (compose h a) h) b % 10.68/10.96 |- ifeq (codomain g) (codomain a) % 10.68/10.96 (ifeq (domain $X) (domain g) (compose (domain $X) (compose h b)) % 10.68/10.96 (compose (compose (domain $X) h) b)) % 10.68/10.96 (compose (compose (domain $X) h) b) = % 10.68/10.96 compose (compose (domain $X) h) b % 10.68/10.96 |- ifeq (codomain g) (domain g) % 10.68/10.96 (ifeq (domain (compose h h)) (domain g) (compose h h) % 10.68/10.96 (compose (compose (domain (compose h h)) h) h)) % 10.68/10.96 (compose (compose (domain (compose h h)) h) h) = % 10.68/10.96 compose (compose (domain (compose h h)) h) h % 10.68/10.96 |- ifeq (codomain g) (domain g) % 10.68/10.96 (ifeq (codomain $_1) (domain g) (compose (codomain $_1) (compose h h)) % 10.68/10.96 (compose (compose (codomain $_1) h) h)) % 10.68/10.96 (compose (compose (codomain $_1) h) h) = % 10.68/10.96 compose (compose (codomain $_1) h) h % 10.68/10.96 |- ifeq (codomain g) (domain g) % 10.68/10.96 (ifeq (codomain b) (domain g) (compose (compose a b) (compose h h)) % 10.68/10.96 (compose (compose (compose a b) h) h)) % 10.68/10.96 (compose (compose (compose a b) h) h) = % 10.68/10.96 compose (compose (compose a b) h) h % 10.68/10.96 |- ifeq (codomain g) (domain g) % 10.68/10.96 (ifeq (codomain a) (domain g) (compose (compose g a) (compose h h)) % 10.68/10.96 (compose (compose (compose g a) h) h)) % 10.68/10.96 (compose (compose (compose g a) h) h) = % 10.68/10.96 compose (compose (compose g a) h) h % 10.68/10.96 |- ifeq (codomain g) (domain g) % 10.68/10.96 (ifeq (codomain b) (domain g) % 10.68/10.96 (compose (compose g (compose a b)) (compose h h)) % 10.68/10.96 (compose (compose (compose g (compose a b)) h) h)) % 10.68/10.96 (compose (compose (compose g (compose a b)) h) h) = % 10.68/10.96 compose (compose (compose g (compose a b)) h) h % 10.68/10.96 |- ifeq (codomain g) (domain g) % 10.68/10.96 (ifeq (codomain a) (domain g) (compose (compose h a) (compose h h)) % 10.68/10.96 (compose (compose (compose h a) h) h)) % 10.68/10.96 (compose (compose (compose h a) h) h) = % 10.68/10.96 compose (compose (compose h a) h) h % 10.68/10.96 |- ifeq (codomain g) (domain g) % 10.68/10.96 (ifeq (domain $X) (domain g) (compose (domain $X) (compose h h)) % 10.68/10.96 (compose (compose (domain $X) h) h)) % 10.68/10.96 (compose (compose (domain $X) h) h) = % 10.68/10.96 compose (compose (domain $X) h) h % 10.68/10.96 |- ifeq (codomain g) (codomain $X) % 10.68/10.96 (ifeq (codomain a) (domain g) % 10.68/10.96 (compose (compose g a) (compose h (codomain $X))) % 10.68/10.96 (compose (compose (compose g a) h) (codomain $X))) % 10.68/10.96 (compose (compose (compose g a) h) (codomain $X)) = % 10.68/10.96 compose (compose (compose g a) h) (codomain $X) % 10.68/10.96 |- ifeq (codomain g) (domain g) % 10.68/10.96 (ifeq (codomain a) (domain g) % 10.68/10.96 (compose (compose g a) (compose h (compose g a))) % 10.68/10.96 (compose (compose (compose g a) h) (compose g a))) % 10.68/10.96 (compose (compose (compose g a) h) (compose g a)) = % 10.68/10.96 compose (compose (compose g a) h) (compose g a) % 10.68/10.96 |- ifeq (codomain g) (domain g) % 10.68/10.96 (ifeq (codomain a) (domain g) % 10.68/10.96 (compose (compose g a) (compose h (compose g (compose a b)))) % 10.68/10.96 (compose (compose (compose g a) h) (compose g (compose a b)))) % 10.68/10.96 (compose (compose (compose g a) h) (compose g (compose a b))) = % 10.68/10.96 compose (compose (compose g a) h) (compose g (compose a b)) % 10.68/10.96 |- ifeq (codomain g) (domain g) % 10.68/10.96 (ifeq (codomain a) (domain g) % 10.68/10.96 (compose (compose g a) (compose h (compose h a))) % 10.68/10.96 (compose (compose (compose g a) h) (compose h a))) % 10.68/10.96 (compose (compose (compose g a) h) (compose h a)) = % 10.68/10.96 compose (compose (compose g a) h) (compose h a) % 10.68/10.96 |- ifeq (codomain g) (domain $X) % 10.68/10.96 (ifeq (codomain a) (domain g) % 10.68/10.96 (compose (compose g a) (compose h (domain $X))) % 10.68/10.96 (compose (compose (compose g a) h) (domain $X))) % 10.68/10.96 (compose (compose (compose g a) h) (domain $X)) = % 10.68/10.96 compose (compose (compose g a) h) (domain $X) % 10.68/10.97 |- ifeq (codomain g) (domain g) % 10.68/10.97 (ifeq (domain (compose h (compose g a))) (domain g) % 10.68/10.97 (compose h (compose g a)) % 10.68/10.97 (compose (compose (domain (compose h (compose g a))) h) % 10.68/10.97 (compose g a))) % 10.68/10.97 (compose (compose (domain (compose h (compose g a))) h) % 10.68/10.97 (compose g a)) = % 10.68/10.97 compose (compose (domain (compose h (compose g a))) h) (compose g a) % 10.68/10.97 |- ifeq (codomain g) (domain g) % 10.68/10.97 (ifeq (codomain $_1) (domain g) % 10.68/10.97 (compose (codomain $_1) (compose h (compose g a))) % 10.68/10.97 (compose (compose (codomain $_1) h) (compose g a))) % 10.68/10.97 (compose (compose (codomain $_1) h) (compose g a)) = % 10.68/10.97 compose (compose (codomain $_1) h) (compose g a) % 10.68/10.97 |- ifeq (codomain g) (domain g) % 10.68/10.97 (ifeq (codomain b) (domain g) % 10.68/10.97 (compose (compose a b) (compose h (compose g a))) % 10.68/10.97 (compose (compose (compose a b) h) (compose g a))) % 10.68/10.97 (compose (compose (compose a b) h) (compose g a)) = % 10.68/10.97 compose (compose (compose a b) h) (compose g a) % 10.68/10.97 |- ifeq (codomain g) (domain g) % 10.68/10.97 (ifeq (codomain b) (domain g) % 10.68/10.97 (compose (compose g (compose a b)) (compose h (compose g a))) % 10.68/10.97 (compose (compose (compose g (compose a b)) h) (compose g a))) % 10.68/10.97 (compose (compose (compose g (compose a b)) h) (compose g a)) = % 10.68/10.97 compose (compose (compose g (compose a b)) h) (compose g a) % 10.68/10.97 |- ifeq (codomain g) (domain g) % 10.68/10.97 (ifeq (codomain a) (domain g) % 10.68/10.97 (compose (compose h a) (compose h (compose g a))) % 10.68/10.97 (compose (compose (compose h a) h) (compose g a))) % 10.68/10.97 (compose (compose (compose h a) h) (compose g a)) = % 10.68/10.97 compose (compose (compose h a) h) (compose g a) % 10.68/10.97 |- ifeq (codomain g) (domain g) % 10.68/10.97 (ifeq (domain $X) (domain g) % 10.68/10.97 (compose (domain $X) (compose h (compose g a))) % 10.68/10.97 (compose (compose (domain $X) h) (compose g a))) % 10.68/10.97 (compose (compose (domain $X) h) (compose g a)) = % 10.68/10.97 compose (compose (domain $X) h) (compose g a) % 10.68/10.97 |- compose (compose $_894 g) a = % 10.68/10.97 ifeq (codomain $_894) (domain g) (compose $_894 (compose g a)) % 10.68/10.97 (compose (compose $_894 g) a) % 10.68/10.97 |- ifeq (codomain $_895) (codomain g) % 10.68/10.97 (ifeq (domain (compose $_895 a)) (domain $_895) (compose $_895 a) % 10.68/10.97 (compose (compose (domain (compose $_895 a)) $_895) a)) % 10.68/10.97 (compose (compose (domain (compose $_895 a)) $_895) a) = % 10.68/10.97 compose (compose (domain (compose $_895 a)) $_895) a % 10.68/10.97 |- ifeq (codomain $X) (codomain g) % 10.68/10.97 (ifeq (codomain $_894) (codomain $X) % 10.68/10.97 (compose $_894 (compose (codomain $X) a)) % 10.68/10.97 (compose (compose $_894 (codomain $X)) a)) % 10.68/10.97 (compose (compose $_894 (codomain $X)) a) = % 10.68/10.97 compose (compose $_894 (codomain $X)) a % 10.68/10.97 |- ifeq (codomain b) (codomain g) % 10.68/10.97 (ifeq (codomain $_894) (codomain g) % 10.68/10.97 (compose $_894 (compose (compose a b) a)) % 10.68/10.97 (compose (compose $_894 (compose a b)) a)) % 10.68/10.97 (compose (compose $_894 (compose a b)) a) = % 10.68/10.97 compose (compose $_894 (compose a b)) a % 10.68/10.97 |- ifeq (codomain a) (codomain g) % 10.68/10.97 (ifeq (codomain $_894) (domain g) % 10.68/10.97 (compose $_894 (compose (compose g a) a)) % 10.68/10.97 (compose (compose $_894 (compose g a)) a)) % 10.68/10.97 (compose (compose $_894 (compose g a)) a) = % 10.68/10.97 compose (compose $_894 (compose g a)) a % 10.68/10.97 |- ifeq (codomain b) (codomain g) % 10.68/10.97 (ifeq (codomain $_894) (domain g) % 10.68/10.97 (compose $_894 (compose (compose g (compose a b)) a)) % 10.68/10.97 (compose (compose $_894 (compose g (compose a b))) a)) % 10.68/10.97 (compose (compose $_894 (compose g (compose a b))) a) = % 10.68/10.97 compose (compose $_894 (compose g (compose a b))) a % 10.68/10.97 |- ifeq (codomain a) (codomain g) % 10.68/10.97 (ifeq (codomain $_894) (domain g) % 10.68/10.97 (compose $_894 (compose (compose h a) a)) % 10.68/10.97 (compose (compose $_894 (compose h a)) a)) % 10.68/10.97 (compose (compose $_894 (compose h a)) a) = % 10.68/10.97 compose (compose $_894 (compose h a)) a % 10.68/10.97 |- ifeq (domain $X) (codomain g) % 10.68/10.97 (ifeq (codomain $_894) (domain $X) % 10.68/10.97 (compose $_894 (compose (domain $X) a)) % 10.68/10.97 (compose (compose $_894 (domain $X)) a)) % 10.68/10.97 (compose (compose $_894 (domain $X)) a) = % 10.68/10.97 compose (compose $_894 (domain $X)) a % 10.68/10.97 |- ifeq (codomain $_895) (codomain g) % 10.68/10.97 (ifeq (codomain $_1) (domain $_895) % 10.68/10.97 (compose (codomain $_1) (compose $_895 a)) % 10.68/10.97 (compose (compose (codomain $_1) $_895) a)) % 10.68/10.97 (compose (compose (codomain $_1) $_895) a) = % 10.68/10.97 compose (compose (codomain $_1) $_895) a % 10.68/10.97 |- ifeq (codomain $_895) (codomain g) % 10.68/10.97 (ifeq (codomain b) (domain $_895) % 10.68/10.97 (compose (compose a b) (compose $_895 a)) % 10.68/10.97 (compose (compose (compose a b) $_895) a)) % 10.68/10.97 (compose (compose (compose a b) $_895) a) = % 10.68/10.97 compose (compose (compose a b) $_895) a % 10.68/10.97 |- ifeq (codomain $_895) (codomain g) % 10.68/10.97 (ifeq (codomain a) (domain $_895) % 10.68/10.97 (compose (compose g a) (compose $_895 a)) % 10.68/10.97 (compose (compose (compose g a) $_895) a)) % 10.68/10.97 (compose (compose (compose g a) $_895) a) = % 10.68/10.97 compose (compose (compose g a) $_895) a % 10.68/10.97 |- ifeq (codomain $_895) (codomain g) % 10.68/10.97 (ifeq (codomain b) (domain $_895) % 10.68/10.97 (compose (compose g (compose a b)) (compose $_895 a)) % 10.68/10.97 (compose (compose (compose g (compose a b)) $_895) a)) % 10.68/10.97 (compose (compose (compose g (compose a b)) $_895) a) = % 10.68/10.97 compose (compose (compose g (compose a b)) $_895) a % 10.68/10.97 |- ifeq (codomain $_895) (codomain g) % 10.68/10.97 (ifeq (codomain a) (domain $_895) % 10.68/10.97 (compose (compose h a) (compose $_895 a)) % 10.68/10.97 (compose (compose (compose h a) $_895) a)) % 10.68/10.97 (compose (compose (compose h a) $_895) a) = % 10.68/10.97 compose (compose (compose h a) $_895) a % 10.68/10.97 |- ifeq (codomain $_895) (codomain g) % 10.68/10.97 (ifeq (domain $X) (domain $_895) % 10.68/10.97 (compose (domain $X) (compose $_895 a)) % 10.68/10.97 (compose (compose (domain $X) $_895) a)) % 10.68/10.97 (compose (compose (domain $X) $_895) a) = % 10.68/10.97 compose (compose (domain $X) $_895) a % 10.68/10.97 |- compose (compose (codomain $_1) g) a = % 10.68/10.97 ifeq (codomain $_1) (domain g) (compose (codomain $_1) (compose g a)) % 10.68/10.97 (compose (compose (codomain $_1) g) a) % 10.68/10.97 |- compose (compose (compose a b) g) a = % 10.68/10.97 ifeq (codomain b) (domain g) (compose (compose a b) (compose g a)) % 10.68/10.97 (compose (compose (compose a b) g) a) % 10.68/10.97 |- compose (compose (compose g a) g) a = % 10.68/10.97 ifeq (codomain a) (domain g) (compose (compose g a) (compose g a)) % 10.68/10.97 (compose (compose (compose g a) g) a) % 10.68/10.97 |- compose (compose (compose g (compose a b)) g) a = % 10.68/10.97 ifeq (codomain b) (domain g) % 10.68/10.97 (compose (compose g (compose a b)) (compose g a)) % 10.68/10.97 (compose (compose (compose g (compose a b)) g) a) % 10.68/10.97 |- compose (compose (compose h a) g) a = % 10.68/10.97 ifeq (codomain a) (domain g) (compose (compose h a) (compose g a)) % 10.68/10.97 (compose (compose (compose h a) g) a) % 10.68/10.97 |- compose (compose (domain $X) g) a = % 10.68/10.97 ifeq (domain $X) (domain g) (compose (domain $X) (compose g a)) % 10.68/10.97 (compose (compose (domain $X) g) a) % 10.68/10.97 |- ifeq (codomain b) (codomain g) % 10.68/10.97 (ifeq (domain (compose (compose a b) a)) (codomain g) % 10.68/10.97 (compose (compose a b) a) % 10.68/10.97 (compose (compose (domain (compose (compose a b) a)) (compose a b)) % 10.68/10.97 a)) % 10.68/10.97 (compose (compose (domain (compose (compose a b) a)) (compose a b)) % 10.68/10.97 a) = % 10.68/10.97 compose (compose (domain (compose (compose a b) a)) (compose a b)) a % 10.68/10.97 |- ifeq (codomain b) (codomain g) % 10.68/10.97 (ifeq (codomain $_1) (codomain g) % 10.68/10.97 (compose (codomain $_1) (compose (compose a b) a)) % 10.68/10.97 (compose (compose (codomain $_1) (compose a b)) a)) % 10.68/10.97 (compose (compose (codomain $_1) (compose a b)) a) = % 10.68/10.97 compose (compose (codomain $_1) (compose a b)) a % 10.68/10.97 |- ifeq (codomain b) (codomain g) % 10.68/10.97 (ifeq (codomain b) (codomain g) % 10.68/10.97 (compose (compose a b) (compose (compose a b) a)) % 10.68/10.97 (compose (compose (compose a b) (compose a b)) a)) % 10.68/10.97 (compose (compose (compose a b) (compose a b)) a) = % 10.68/10.97 compose (compose (compose a b) (compose a b)) a % 10.68/10.97 |- ifeq (codomain b) (codomain g) % 10.68/10.97 (ifeq (codomain a) (codomain g) % 10.68/10.97 (compose (compose g a) (compose (compose a b) a)) % 10.68/10.97 (compose (compose (compose g a) (compose a b)) a)) % 10.68/10.97 (compose (compose (compose g a) (compose a b)) a) = % 10.68/10.97 compose (compose (compose g a) (compose a b)) a % 10.68/10.97 |- ifeq (codomain b) (codomain g) % 10.68/10.97 (ifeq (codomain b) (codomain g) % 10.68/10.97 (compose (compose g (compose a b)) (compose (compose a b) a)) % 10.68/10.97 (compose (compose (compose g (compose a b)) (compose a b)) a)) % 10.68/10.97 (compose (compose (compose g (compose a b)) (compose a b)) a) = % 10.68/10.97 compose (compose (compose g (compose a b)) (compose a b)) a % 10.68/10.97 |- ifeq (codomain b) (codomain g) % 10.68/10.97 (ifeq (codomain a) (codomain g) % 10.68/10.97 (compose (compose h a) (compose (compose a b) a)) % 10.68/10.97 (compose (compose (compose h a) (compose a b)) a)) % 10.68/10.97 (compose (compose (compose h a) (compose a b)) a) = % 10.68/10.97 compose (compose (compose h a) (compose a b)) a % 10.68/10.97 |- ifeq (codomain b) (codomain g) % 10.68/10.97 (ifeq (domain $X) (codomain g) % 10.68/10.97 (compose (domain $X) (compose (compose a b) a)) % 10.68/10.97 (compose (compose (domain $X) (compose a b)) a)) % 10.68/10.97 (compose (compose (domain $X) (compose a b)) a) = % 10.68/10.97 compose (compose (domain $X) (compose a b)) a % 10.68/10.97 |- ifeq (codomain b) (codomain g) (compose g (compose (compose a b) a)) % 10.68/10.97 (compose (compose g (compose a b)) a) = % 10.68/10.97 compose (compose g (compose a b)) a % 10.68/10.98 |- ifeq (codomain $X) (codomain g) % 10.68/10.98 (ifeq (codomain b) (codomain $X) % 10.68/10.98 (compose (compose a b) (compose (codomain $X) a)) % 10.68/10.98 (compose (compose (compose a b) (codomain $X)) a)) % 10.68/10.98 (compose (compose (compose a b) (codomain $X)) a) = % 10.68/10.98 compose (compose (compose a b) (codomain $X)) a % 10.68/10.98 |- ifeq (codomain a) (codomain g) % 10.68/10.98 (ifeq (codomain b) (domain g) % 10.68/10.98 (compose (compose a b) (compose (compose g a) a)) % 10.68/10.98 (compose (compose (compose a b) (compose g a)) a)) % 10.68/10.98 (compose (compose (compose a b) (compose g a)) a) = % 10.68/10.98 compose (compose (compose a b) (compose g a)) a % 10.68/10.98 |- ifeq (codomain b) (codomain g) % 10.68/10.98 (ifeq (codomain b) (domain g) % 10.68/10.98 (compose (compose a b) (compose (compose g (compose a b)) a)) % 10.68/10.98 (compose (compose (compose a b) (compose g (compose a b))) a)) % 10.68/10.98 (compose (compose (compose a b) (compose g (compose a b))) a) = % 10.68/10.98 compose (compose (compose a b) (compose g (compose a b))) a % 10.68/10.98 |- ifeq (codomain a) (codomain g) % 10.68/10.98 (ifeq (codomain b) (domain g) % 10.68/10.98 (compose (compose a b) (compose (compose h a) a)) % 10.68/10.98 (compose (compose (compose a b) (compose h a)) a)) % 10.68/10.98 (compose (compose (compose a b) (compose h a)) a) = % 10.68/10.98 compose (compose (compose a b) (compose h a)) a % 10.68/10.98 |- ifeq (domain $X) (codomain g) % 10.68/10.98 (ifeq (codomain b) (domain $X) % 10.68/10.98 (compose (compose a b) (compose (domain $X) a)) % 10.68/10.98 (compose (compose (compose a b) (domain $X)) a)) % 10.68/10.98 (compose (compose (compose a b) (domain $X)) a) = % 10.68/10.98 compose (compose (compose a b) (domain $X)) a % 10.68/10.98 |- ifeq (codomain $X) (codomain g) % 10.68/10.98 (ifeq (codomain a) (codomain $X) % 10.68/10.98 (compose (compose h a) (compose (codomain $X) a)) % 10.68/10.98 (compose (compose (compose h a) (codomain $X)) a)) % 10.68/10.98 (compose (compose (compose h a) (codomain $X)) a) = % 10.68/10.98 compose (compose (compose h a) (codomain $X)) a % 10.68/10.98 |- ifeq (codomain a) (codomain g) % 10.68/10.98 (ifeq (codomain a) (domain g) % 10.68/10.98 (compose (compose h a) (compose (compose g a) a)) % 10.68/10.98 (compose (compose (compose h a) (compose g a)) a)) % 10.68/10.98 (compose (compose (compose h a) (compose g a)) a) = % 10.68/10.98 compose (compose (compose h a) (compose g a)) a % 10.68/10.98 |- ifeq (codomain b) (codomain g) % 10.68/10.98 (ifeq (codomain a) (domain g) % 10.68/10.98 (compose (compose h a) (compose (compose g (compose a b)) a)) % 10.68/10.98 (compose (compose (compose h a) (compose g (compose a b))) a)) % 10.68/10.98 (compose (compose (compose h a) (compose g (compose a b))) a) = % 10.68/10.98 compose (compose (compose h a) (compose g (compose a b))) a % 10.68/10.98 |- ifeq (codomain a) (codomain g) % 10.68/10.98 (ifeq (codomain a) (domain g) % 10.68/10.98 (compose (compose h a) (compose (compose h a) a)) % 10.68/10.98 (compose (compose (compose h a) (compose h a)) a)) % 10.68/10.98 (compose (compose (compose h a) (compose h a)) a) = % 10.68/10.98 compose (compose (compose h a) (compose h a)) a % 10.68/10.98 |- ifeq (domain $X) (codomain g) % 10.68/10.98 (ifeq (codomain a) (domain $X) % 10.68/10.98 (compose (compose h a) (compose (domain $X) a)) % 10.68/10.98 (compose (compose (compose h a) (domain $X)) a)) % 10.68/10.98 (compose (compose (compose h a) (domain $X)) a) = % 10.68/10.98 compose (compose (compose h a) (domain $X)) a % 10.68/10.98 |- ifeq (codomain $_903) (codomain a) % 10.68/10.98 (ifeq (domain (compose $_903 b)) (domain $_903) (compose $_903 b) % 10.68/10.98 (compose (compose (domain (compose $_903 b)) $_903) b)) % 10.68/10.98 (compose (compose (domain (compose $_903 b)) $_903) b) = % 10.68/10.98 compose (compose (domain (compose $_903 b)) $_903) b % 10.68/10.98 |- ifeq (codomain $X) (codomain a) % 10.68/10.98 (ifeq (codomain $_902) (codomain $X) % 10.68/10.98 (compose $_902 (compose (codomain $X) b)) % 10.68/10.98 (compose (compose $_902 (codomain $X)) b)) % 10.68/10.98 (compose (compose $_902 (codomain $X)) b) = % 10.68/10.98 compose (compose $_902 (codomain $X)) b % 10.68/10.98 |- ifeq (codomain b) (codomain a) % 10.68/10.98 (ifeq (codomain $_902) (codomain g) % 10.68/10.98 (compose $_902 (compose (compose a b) b)) % 10.68/10.98 (compose (compose $_902 (compose a b)) b)) % 10.68/10.98 (compose (compose $_902 (compose a b)) b) = % 10.68/10.98 compose (compose $_902 (compose a b)) b % 10.68/10.98 |- ifeq (codomain b) (codomain a) % 10.68/10.98 (ifeq (codomain $_902) (domain g) % 10.68/10.98 (compose $_902 (compose (compose g (compose a b)) b)) % 10.68/10.98 (compose (compose $_902 (compose g (compose a b))) b)) % 10.68/10.98 (compose (compose $_902 (compose g (compose a b))) b) = % 10.68/10.98 compose (compose $_902 (compose g (compose a b))) b % 10.68/10.98 |- ifeq (domain $X) (codomain a) % 10.68/10.98 (ifeq (codomain $_902) (domain $X) % 10.68/10.98 (compose $_902 (compose (domain $X) b)) % 10.68/10.98 (compose (compose $_902 (domain $X)) b)) % 10.68/10.98 (compose (compose $_902 (domain $X)) b) = % 10.68/10.98 compose (compose $_902 (domain $X)) b % 10.68/10.98 |- ifeq (codomain $_903) (codomain a) % 10.68/10.98 (ifeq (codomain $_1) (domain $_903) % 10.68/10.98 (compose (codomain $_1) (compose $_903 b)) % 10.68/10.98 (compose (compose (codomain $_1) $_903) b)) % 10.68/10.98 (compose (compose (codomain $_1) $_903) b) = % 10.68/10.98 compose (compose (codomain $_1) $_903) b % 10.68/10.98 |- ifeq (codomain $_903) (codomain a) % 10.68/10.98 (ifeq (codomain b) (domain $_903) % 10.68/10.98 (compose (compose a b) (compose $_903 b)) % 10.68/10.98 (compose (compose (compose a b) $_903) b)) % 10.68/10.98 (compose (compose (compose a b) $_903) b) = % 10.68/10.98 compose (compose (compose a b) $_903) b % 10.68/10.98 |- ifeq (codomain $_903) (codomain a) % 10.68/10.98 (ifeq (codomain a) (domain $_903) % 10.68/10.98 (compose (compose g a) (compose $_903 b)) % 10.68/10.98 (compose (compose (compose g a) $_903) b)) % 10.68/10.98 (compose (compose (compose g a) $_903) b) = % 10.68/10.98 compose (compose (compose g a) $_903) b % 10.68/10.98 |- ifeq (codomain $_903) (codomain a) % 10.68/10.98 (ifeq (codomain b) (domain $_903) % 10.68/10.98 (compose (compose g (compose a b)) (compose $_903 b)) % 10.68/10.98 (compose (compose (compose g (compose a b)) $_903) b)) % 10.68/10.98 (compose (compose (compose g (compose a b)) $_903) b) = % 10.68/10.98 compose (compose (compose g (compose a b)) $_903) b % 10.68/10.98 |- ifeq (codomain $_903) (codomain a) % 10.68/10.98 (ifeq (codomain a) (domain $_903) % 10.68/10.98 (compose (compose h a) (compose $_903 b)) % 10.68/10.98 (compose (compose (compose h a) $_903) b)) % 10.68/10.98 (compose (compose (compose h a) $_903) b) = % 10.68/10.98 compose (compose (compose h a) $_903) b % 10.68/10.98 |- ifeq (codomain $_903) (codomain a) % 10.68/10.98 (ifeq (domain $X) (domain $_903) % 10.68/10.98 (compose (domain $X) (compose $_903 b)) % 10.68/10.98 (compose (compose (domain $X) $_903) b)) % 10.68/10.98 (compose (compose (domain $X) $_903) b) = % 10.68/10.98 compose (compose (domain $X) $_903) b % 10.68/10.98 |- ifeq (codomain a) (domain g) % 10.68/10.98 (compose (compose g a) (compose g (compose a b))) % 10.68/10.98 (compose (compose (compose g a) (compose g a)) b) = % 10.68/10.98 compose (compose (compose g a) (compose g a)) b % 10.68/10.98 |- ifeq (codomain $X) (codomain a) % 10.68/10.98 (ifeq (codomain a) (codomain $X) % 10.68/10.98 (compose (compose g a) (compose (codomain $X) b)) % 10.68/10.98 (compose (compose (compose g a) (codomain $X)) b)) % 10.68/10.98 (compose (compose (compose g a) (codomain $X)) b) = % 10.68/10.98 compose (compose (compose g a) (codomain $X)) b % 10.68/10.98 |- ifeq (codomain b) (codomain a) % 10.68/10.98 (ifeq (codomain a) (codomain g) % 10.68/10.98 (compose (compose g a) (compose (compose a b) b)) % 10.68/10.98 (compose (compose (compose g a) (compose a b)) b)) % 10.68/10.98 (compose (compose (compose g a) (compose a b)) b) = % 10.68/10.98 compose (compose (compose g a) (compose a b)) b % 10.68/10.98 |- ifeq (codomain b) (codomain a) % 10.68/10.98 (ifeq (codomain a) (domain g) % 10.68/10.98 (compose (compose g a) (compose (compose g (compose a b)) b)) % 10.68/10.98 (compose (compose (compose g a) (compose g (compose a b))) b)) % 10.68/10.98 (compose (compose (compose g a) (compose g (compose a b))) b) = % 10.68/10.98 compose (compose (compose g a) (compose g (compose a b))) b % 10.68/10.98 |- ifeq (domain $X) (codomain a) % 10.68/10.98 (ifeq (codomain a) (domain $X) % 10.68/10.98 (compose (compose g a) (compose (domain $X) b)) % 10.68/10.98 (compose (compose (compose g a) (domain $X)) b)) % 10.68/10.98 (compose (compose (compose g a) (domain $X)) b) = % 10.68/10.98 compose (compose (compose g a) (domain $X)) b % 10.68/10.98 |- ifeq (codomain $_906) (domain g) % 10.68/10.98 (ifeq (domain (compose $_906 h)) (domain $_906) (compose $_906 h) % 10.68/10.98 (compose (compose (domain (compose $_906 h)) $_906) h)) % 10.68/10.98 (compose (compose (domain (compose $_906 h)) $_906) h) = % 10.68/10.98 compose (compose (domain (compose $_906 h)) $_906) h % 10.68/10.98 |- ifeq (codomain $X) (domain g) % 10.68/10.98 (ifeq (codomain $_905) (codomain $X) % 10.68/10.98 (compose $_905 (compose (codomain $X) h)) % 10.68/10.98 (compose (compose $_905 (codomain $X)) h)) % 10.68/10.98 (compose (compose $_905 (codomain $X)) h) = % 10.68/10.98 compose (compose $_905 (codomain $X)) h % 10.68/10.98 |- ifeq (codomain b) (domain g) % 10.68/10.98 (ifeq (codomain $_905) (codomain g) % 10.68/10.98 (compose $_905 (compose (compose a b) h)) % 10.68/10.98 (compose (compose $_905 (compose a b)) h)) % 10.68/10.98 (compose (compose $_905 (compose a b)) h) = % 10.68/10.98 compose (compose $_905 (compose a b)) h % 10.68/10.98 |- ifeq (codomain a) (domain g) % 10.68/10.98 (ifeq (codomain $_905) (domain g) % 10.68/10.98 (compose $_905 (compose (compose g a) h)) % 10.68/10.98 (compose (compose $_905 (compose g a)) h)) % 10.68/10.98 (compose (compose $_905 (compose g a)) h) = % 10.68/10.98 compose (compose $_905 (compose g a)) h % 10.68/10.98 |- ifeq (codomain b) (domain g) % 10.68/10.98 (ifeq (codomain $_905) (domain g) % 10.68/10.98 (compose $_905 (compose (compose g (compose a b)) h)) % 10.68/10.98 (compose (compose $_905 (compose g (compose a b))) h)) % 10.68/10.98 (compose (compose $_905 (compose g (compose a b))) h) = % 10.68/10.98 compose (compose $_905 (compose g (compose a b))) h % 10.68/10.98 |- ifeq (codomain a) (domain g) % 10.68/10.98 (ifeq (codomain $_905) (domain g) % 10.68/10.98 (compose $_905 (compose (compose h a) h)) % 10.68/10.98 (compose (compose $_905 (compose h a)) h)) % 10.68/10.98 (compose (compose $_905 (compose h a)) h) = % 10.68/10.98 compose (compose $_905 (compose h a)) h % 10.68/10.98 |- ifeq (domain $X) (domain g) % 10.68/10.98 (ifeq (codomain $_905) (domain $X) % 10.68/10.98 (compose $_905 (compose (domain $X) h)) % 10.68/10.98 (compose (compose $_905 (domain $X)) h)) % 10.68/10.98 (compose (compose $_905 (domain $X)) h) = % 10.68/10.98 compose (compose $_905 (domain $X)) h % 10.68/10.98 |- ifeq (codomain $_906) (domain g) % 10.68/10.98 (ifeq (codomain $_1) (domain $_906) % 10.68/10.98 (compose (codomain $_1) (compose $_906 h)) % 10.68/10.98 (compose (compose (codomain $_1) $_906) h)) % 10.68/10.98 (compose (compose (codomain $_1) $_906) h) = % 10.68/10.98 compose (compose (codomain $_1) $_906) h % 10.68/10.98 |- ifeq (codomain $_906) (domain g) % 10.68/10.98 (ifeq (codomain b) (domain $_906) % 10.68/10.98 (compose (compose a b) (compose $_906 h)) % 10.68/10.98 (compose (compose (compose a b) $_906) h)) % 10.68/10.98 (compose (compose (compose a b) $_906) h) = % 10.68/10.98 compose (compose (compose a b) $_906) h % 10.68/10.98 |- ifeq (codomain $_906) (domain g) % 10.68/10.98 (ifeq (codomain a) (domain $_906) % 10.68/10.98 (compose (compose g a) (compose $_906 h)) % 10.68/10.98 (compose (compose (compose g a) $_906) h)) % 10.68/10.98 (compose (compose (compose g a) $_906) h) = % 10.68/10.98 compose (compose (compose g a) $_906) h % 10.68/10.98 |- ifeq (codomain $_906) (domain g) % 10.68/10.98 (ifeq (codomain b) (domain $_906) % 10.68/10.98 (compose (compose g (compose a b)) (compose $_906 h)) % 10.68/10.98 (compose (compose (compose g (compose a b)) $_906) h)) % 10.68/10.98 (compose (compose (compose g (compose a b)) $_906) h) = % 10.68/10.98 compose (compose (compose g (compose a b)) $_906) h % 10.68/10.98 |- ifeq (codomain $_906) (domain g) % 10.68/10.98 (ifeq (codomain a) (domain $_906) % 10.68/10.98 (compose (compose h a) (compose $_906 h)) % 10.68/10.98 (compose (compose (compose h a) $_906) h)) % 10.68/10.98 (compose (compose (compose h a) $_906) h) = % 10.68/10.98 compose (compose (compose h a) $_906) h % 10.68/10.98 |- ifeq (codomain $_906) (domain g) % 10.68/10.98 (ifeq (domain $X) (domain $_906) % 10.68/10.98 (compose (domain $X) (compose $_906 h)) % 10.68/10.98 (compose (compose (domain $X) $_906) h)) % 10.68/10.98 (compose (compose (domain $X) $_906) h) = % 10.68/10.98 compose (compose (domain $X) $_906) h % 10.68/10.98 |- ifeq (codomain b) (domain g) % 10.68/10.98 (ifeq (domain (compose (compose a b) h)) (codomain g) % 10.68/10.98 (compose (compose a b) h) % 10.68/10.98 (compose (compose (domain (compose (compose a b) h)) (compose a b)) % 10.68/10.98 h)) % 10.68/10.98 (compose (compose (domain (compose (compose a b) h)) (compose a b)) % 10.68/10.98 h) = % 10.68/10.98 compose (compose (domain (compose (compose a b) h)) (compose a b)) h % 10.68/10.98 |- ifeq (codomain b) (domain g) % 10.68/10.98 (ifeq (codomain $_1) (codomain g) % 10.68/10.98 (compose (codomain $_1) (compose (compose a b) h)) % 10.68/10.98 (compose (compose (codomain $_1) (compose a b)) h)) % 10.68/10.98 (compose (compose (codomain $_1) (compose a b)) h) = % 10.68/10.98 compose (compose (codomain $_1) (compose a b)) h % 10.68/10.98 |- ifeq (codomain b) (domain g) % 10.68/10.98 (ifeq (codomain b) (codomain g) % 10.68/10.98 (compose (compose a b) (compose (compose a b) h)) % 10.68/10.98 (compose (compose (compose a b) (compose a b)) h)) % 10.68/10.98 (compose (compose (compose a b) (compose a b)) h) = % 10.68/10.98 compose (compose (compose a b) (compose a b)) h % 10.68/10.98 |- ifeq (codomain b) (domain g) % 10.68/10.98 (ifeq (codomain a) (codomain g) % 10.68/10.98 (compose (compose g a) (compose (compose a b) h)) % 10.68/10.98 (compose (compose (compose g a) (compose a b)) h)) % 10.68/10.98 (compose (compose (compose g a) (compose a b)) h) = % 10.68/10.98 compose (compose (compose g a) (compose a b)) h % 10.68/10.98 |- ifeq (codomain b) (domain g) % 10.68/10.98 (ifeq (codomain b) (codomain g) % 10.68/10.98 (compose (compose g (compose a b)) (compose (compose a b) h)) % 10.68/10.98 (compose (compose (compose g (compose a b)) (compose a b)) h)) % 10.68/10.98 (compose (compose (compose g (compose a b)) (compose a b)) h) = % 10.68/10.98 compose (compose (compose g (compose a b)) (compose a b)) h % 10.68/10.98 |- ifeq (codomain b) (domain g) % 10.68/10.98 (ifeq (codomain a) (codomain g) % 10.68/10.98 (compose (compose h a) (compose (compose a b) h)) % 10.68/10.98 (compose (compose (compose h a) (compose a b)) h)) % 10.68/10.98 (compose (compose (compose h a) (compose a b)) h) = % 10.68/10.98 compose (compose (compose h a) (compose a b)) h % 10.68/10.98 |- ifeq (codomain b) (domain g) % 10.68/10.98 (ifeq (domain $X) (codomain g) % 10.68/10.98 (compose (domain $X) (compose (compose a b) h)) % 10.68/10.98 (compose (compose (domain $X) (compose a b)) h)) % 10.68/10.98 (compose (compose (domain $X) (compose a b)) h) = % 10.68/10.98 compose (compose (domain $X) (compose a b)) h % 10.68/10.98 |- ifeq (codomain b) (domain g) (compose g (compose (compose a b) h)) % 10.68/10.98 (compose (compose g (compose a b)) h) = % 10.68/10.98 compose (compose g (compose a b)) h % 10.68/10.98 |- ifeq (codomain a) (domain g) % 10.68/10.98 (ifeq (domain (compose (compose g a) h)) (domain g) % 10.68/10.98 (compose (compose g a) h) % 10.68/10.98 (compose (compose (domain (compose (compose g a) h)) (compose g a)) % 10.68/10.98 h)) % 10.68/10.98 (compose (compose (domain (compose (compose g a) h)) (compose g a)) % 10.68/10.98 h) = % 10.68/10.98 compose (compose (domain (compose (compose g a) h)) (compose g a)) h % 10.68/10.98 |- ifeq (codomain a) (domain g) % 10.68/10.98 (ifeq (codomain $_1) (domain g) % 10.68/10.98 (compose (codomain $_1) (compose (compose g a) h)) % 10.68/10.98 (compose (compose (codomain $_1) (compose g a)) h)) % 10.68/10.98 (compose (compose (codomain $_1) (compose g a)) h) = % 10.68/10.98 compose (compose (codomain $_1) (compose g a)) h % 10.68/10.98 |- ifeq (codomain a) (domain g) % 10.68/10.98 (ifeq (codomain b) (domain g) % 10.68/10.98 (compose (compose a b) (compose (compose g a) h)) % 10.68/10.98 (compose (compose (compose a b) (compose g a)) h)) % 10.68/10.98 (compose (compose (compose a b) (compose g a)) h) = % 10.68/10.98 compose (compose (compose a b) (compose g a)) h % 10.68/10.98 |- ifeq (codomain a) (domain g) % 10.68/10.98 (ifeq (codomain a) (domain g) % 10.68/10.98 (compose (compose g a) (compose (compose g a) h)) % 10.68/10.98 (compose (compose (compose g a) (compose g a)) h)) % 10.68/10.98 (compose (compose (compose g a) (compose g a)) h) = % 10.68/10.98 compose (compose (compose g a) (compose g a)) h % 10.68/10.98 |- ifeq (codomain a) (domain g) % 10.68/10.98 (ifeq (codomain b) (domain g) % 10.68/10.98 (compose (compose g (compose a b)) (compose (compose g a) h)) % 10.68/10.98 (compose (compose (compose g (compose a b)) (compose g a)) h)) % 10.68/10.98 (compose (compose (compose g (compose a b)) (compose g a)) h) = % 10.68/10.98 compose (compose (compose g (compose a b)) (compose g a)) h % 10.68/10.99 |- ifeq (codomain a) (domain g) % 10.68/10.99 (ifeq (codomain a) (domain g) % 10.68/10.99 (compose (compose h a) (compose (compose g a) h)) % 10.68/10.99 (compose (compose (compose h a) (compose g a)) h)) % 10.68/10.99 (compose (compose (compose h a) (compose g a)) h) = % 10.68/10.99 compose (compose (compose h a) (compose g a)) h % 10.68/10.99 |- ifeq (codomain a) (domain g) % 10.68/10.99 (ifeq (domain $X) (domain g) % 10.68/10.99 (compose (domain $X) (compose (compose g a) h)) % 10.68/10.99 (compose (compose (domain $X) (compose g a)) h)) % 10.68/10.99 (compose (compose (domain $X) (compose g a)) h) = % 10.68/10.99 compose (compose (domain $X) (compose g a)) h % 10.68/10.99 |- ifeq (codomain a) (domain g) % 10.68/10.99 (ifeq (codomain b) (codomain g) (compose (compose a b) (compose a h)) % 10.68/10.99 (compose (compose (compose a b) a) h)) % 10.68/10.99 (compose (compose (compose a b) a) h) = % 10.68/10.99 compose (compose (compose a b) a) h % 10.68/10.99 |- ifeq (codomain $X) (domain g) % 10.68/10.99 (ifeq (codomain b) (codomain $X) % 10.68/10.99 (compose (compose a b) (compose (codomain $X) h)) % 10.68/10.99 (compose (compose (compose a b) (codomain $X)) h)) % 10.68/10.99 (compose (compose (compose a b) (codomain $X)) h) = % 10.68/10.99 compose (compose (compose a b) (codomain $X)) h % 10.68/10.99 |- ifeq (codomain b) (domain g) % 10.68/10.99 (ifeq (codomain b) (domain g) % 10.68/10.99 (compose (compose a b) (compose (compose g (compose a b)) h)) % 10.68/10.99 (compose (compose (compose a b) (compose g (compose a b))) h)) % 10.68/10.99 (compose (compose (compose a b) (compose g (compose a b))) h) = % 10.68/10.99 compose (compose (compose a b) (compose g (compose a b))) h % 10.68/10.99 |- ifeq (codomain a) (domain g) % 10.68/10.99 (ifeq (codomain b) (domain g) % 10.68/10.99 (compose (compose a b) (compose (compose h a) h)) % 10.68/10.99 (compose (compose (compose a b) (compose h a)) h)) % 10.68/10.99 (compose (compose (compose a b) (compose h a)) h) = % 10.68/10.99 compose (compose (compose a b) (compose h a)) h % 10.68/10.99 |- ifeq (domain $X) (domain g) % 10.68/10.99 (ifeq (codomain b) (domain $X) % 10.68/10.99 (compose (compose a b) (compose (domain $X) h)) % 10.68/10.99 (compose (compose (compose a b) (domain $X)) h)) % 10.68/10.99 (compose (compose (compose a b) (domain $X)) h) = % 10.68/10.99 compose (compose (compose a b) (domain $X)) h % 10.68/10.99 |- ifeq (codomain $X) (domain g) % 10.68/10.99 (ifeq (codomain a) (codomain $X) % 10.68/10.99 (compose (compose g a) (compose (codomain $X) h)) % 10.68/10.99 (compose (compose (compose g a) (codomain $X)) h)) % 10.68/10.99 (compose (compose (compose g a) (codomain $X)) h) = % 10.68/10.99 compose (compose (compose g a) (codomain $X)) h % 10.68/10.99 |- ifeq (codomain b) (domain g) % 10.68/10.99 (ifeq (codomain a) (domain g) % 10.68/10.99 (compose (compose g a) (compose (compose g (compose a b)) h)) % 10.68/10.99 (compose (compose (compose g a) (compose g (compose a b))) h)) % 10.68/10.99 (compose (compose (compose g a) (compose g (compose a b))) h) = % 10.68/10.99 compose (compose (compose g a) (compose g (compose a b))) h % 10.68/10.99 |- ifeq (codomain a) (domain g) % 10.68/10.99 (ifeq (codomain a) (domain g) % 10.68/10.99 (compose (compose g a) (compose (compose h a) h)) % 10.68/10.99 (compose (compose (compose g a) (compose h a)) h)) % 10.68/10.99 (compose (compose (compose g a) (compose h a)) h) = % 10.68/10.99 compose (compose (compose g a) (compose h a)) h % 10.68/10.99 |- ifeq (domain $X) (domain g) % 10.68/10.99 (ifeq (codomain a) (domain $X) % 10.68/10.99 (compose (compose g a) (compose (domain $X) h)) % 10.68/10.99 (compose (compose (compose g a) (domain $X)) h)) % 10.68/10.99 (compose (compose (compose g a) (domain $X)) h) = % 10.68/10.99 compose (compose (compose g a) (domain $X)) h % 10.68/10.99 |- ifeq (codomain b) (domain g) % 10.68/10.99 (compose (compose a b) (compose g (compose a b))) % 10.68/10.99 (compose (compose (compose a b) (compose g a)) b) = % 10.68/10.99 compose (compose (compose a b) (compose g a)) b % 10.68/10.99 |- ifeq (codomain $X) (domain $_913) % 10.68/10.99 (ifeq (codomain b) (codomain $X) % 10.68/10.99 (compose (compose a b) (compose (codomain $X) $_913)) % 10.68/10.99 (compose (compose (compose a b) (codomain $X)) $_913)) % 10.68/10.99 (compose (compose (compose a b) (codomain $X)) $_913) = % 10.68/10.99 compose (compose (compose a b) (codomain $X)) $_913 % 10.68/10.99 |- ifeq (codomain b) (domain $_913) % 10.68/10.99 (ifeq (codomain b) (codomain g) % 10.68/10.99 (compose (compose a b) (compose (compose a b) $_913)) % 10.68/10.99 (compose (compose (compose a b) (compose a b)) $_913)) % 10.68/10.99 (compose (compose (compose a b) (compose a b)) $_913) = % 10.68/10.99 compose (compose (compose a b) (compose a b)) $_913 % 10.68/10.99 |- ifeq (codomain a) (domain $_913) % 10.68/10.99 (ifeq (codomain b) (domain g) % 10.68/10.99 (compose (compose a b) (compose (compose g a) $_913)) % 10.68/10.99 (compose (compose (compose a b) (compose g a)) $_913)) % 10.68/10.99 (compose (compose (compose a b) (compose g a)) $_913) = % 10.68/10.99 compose (compose (compose a b) (compose g a)) $_913 % 10.68/10.99 |- ifeq (codomain b) (domain $_913) % 10.68/10.99 (ifeq (codomain b) (domain g) % 10.68/10.99 (compose (compose a b) (compose (compose g (compose a b)) $_913)) % 10.68/10.99 (compose (compose (compose a b) (compose g (compose a b))) $_913)) % 10.68/10.99 (compose (compose (compose a b) (compose g (compose a b))) $_913) = % 10.68/10.99 compose (compose (compose a b) (compose g (compose a b))) $_913 % 10.68/10.99 |- ifeq (codomain a) (domain $_913) % 10.68/10.99 (ifeq (codomain b) (domain g) % 10.68/10.99 (compose (compose a b) (compose (compose h a) $_913)) % 10.68/10.99 (compose (compose (compose a b) (compose h a)) $_913)) % 10.68/10.99 (compose (compose (compose a b) (compose h a)) $_913) = % 10.68/10.99 compose (compose (compose a b) (compose h a)) $_913 % 10.68/10.99 |- ifeq (domain $X) (domain $_913) % 10.68/10.99 (ifeq (codomain b) (domain $X) % 10.68/10.99 (compose (compose a b) (compose (domain $X) $_913)) % 10.68/10.99 (compose (compose (compose a b) (domain $X)) $_913)) % 10.68/10.99 (compose (compose (compose a b) (domain $X)) $_913) = % 10.68/10.99 compose (compose (compose a b) (domain $X)) $_913 % 10.68/10.99 |- ifeq (codomain $_912) (codomain $X) % 10.68/10.99 (ifeq (codomain b) (domain $_912) % 10.68/10.99 (compose (compose a b) (compose $_912 (codomain $X))) % 10.68/10.99 (compose (compose (compose a b) $_912) (codomain $X))) % 10.68/10.99 (compose (compose (compose a b) $_912) (codomain $X)) = % 10.68/10.99 compose (compose (compose a b) $_912) (codomain $X) % 10.68/10.99 |- ifeq (codomain $_912) (codomain g) % 10.68/10.99 (ifeq (codomain b) (domain $_912) % 10.68/10.99 (compose (compose a b) (compose $_912 (compose a b))) % 10.68/10.99 (compose (compose (compose a b) $_912) (compose a b))) % 10.68/10.99 (compose (compose (compose a b) $_912) (compose a b)) = % 10.68/10.99 compose (compose (compose a b) $_912) (compose a b) % 10.68/10.99 |- ifeq (codomain $_912) (domain g) % 10.68/10.99 (ifeq (codomain b) (domain $_912) % 10.68/10.99 (compose (compose a b) (compose $_912 (compose g a))) % 10.68/10.99 (compose (compose (compose a b) $_912) (compose g a))) % 10.68/10.99 (compose (compose (compose a b) $_912) (compose g a)) = % 10.68/10.99 compose (compose (compose a b) $_912) (compose g a) % 10.68/10.99 |- ifeq (codomain $_912) (domain g) % 10.68/10.99 (ifeq (codomain b) (domain $_912) % 10.68/10.99 (compose (compose a b) (compose $_912 (compose g (compose a b)))) % 10.68/10.99 (compose (compose (compose a b) $_912) (compose g (compose a b)))) % 10.68/10.99 (compose (compose (compose a b) $_912) (compose g (compose a b))) = % 10.68/10.99 compose (compose (compose a b) $_912) (compose g (compose a b)) % 10.68/11.00 |- ifeq (codomain $_912) (domain g) % 10.68/11.00 (ifeq (codomain b) (domain $_912) % 10.68/11.00 (compose (compose a b) (compose $_912 (compose h a))) % 10.68/11.00 (compose (compose (compose a b) $_912) (compose h a))) % 10.68/11.00 (compose (compose (compose a b) $_912) (compose h a)) = % 10.68/11.00 compose (compose (compose a b) $_912) (compose h a) % 10.68/11.00 |- ifeq (codomain $_912) (domain $X) % 10.68/11.00 (ifeq (codomain b) (domain $_912) % 10.68/11.00 (compose (compose a b) (compose $_912 (domain $X))) % 10.68/11.00 (compose (compose (compose a b) $_912) (domain $X))) % 10.68/11.00 (compose (compose (compose a b) $_912) (domain $X)) = % 10.68/11.00 compose (compose (compose a b) $_912) (domain $X) % 10.68/11.00 |- ifeq (codomain $X) (domain $_915) % 10.68/11.00 (ifeq (codomain a) (codomain $X) % 10.68/11.00 (compose (compose g a) (compose (codomain $X) $_915)) % 10.68/11.00 (compose (compose (compose g a) (codomain $X)) $_915)) % 10.68/11.00 (compose (compose (compose g a) (codomain $X)) $_915) = % 10.68/11.00 compose (compose (compose g a) (codomain $X)) $_915 % 10.68/11.00 |- ifeq (codomain b) (domain $_915) % 10.68/11.00 (ifeq (codomain a) (codomain g) % 10.68/11.00 (compose (compose g a) (compose (compose a b) $_915)) % 10.68/11.00 (compose (compose (compose g a) (compose a b)) $_915)) % 10.68/11.00 (compose (compose (compose g a) (compose a b)) $_915) = % 10.68/11.00 compose (compose (compose g a) (compose a b)) $_915 % 10.68/11.00 |- ifeq (codomain a) (domain $_915) % 10.68/11.00 (ifeq (codomain a) (domain g) % 10.68/11.00 (compose (compose g a) (compose (compose g a) $_915)) % 10.68/11.00 (compose (compose (compose g a) (compose g a)) $_915)) % 10.68/11.00 (compose (compose (compose g a) (compose g a)) $_915) = % 10.68/11.00 compose (compose (compose g a) (compose g a)) $_915 % 10.76/11.00 |- ifeq (codomain b) (domain $_915) % 10.76/11.00 (ifeq (codomain a) (domain g) % 10.76/11.00 (compose (compose g a) (compose (compose g (compose a b)) $_915)) % 10.76/11.00 (compose (compose (compose g a) (compose g (compose a b))) $_915)) % 10.76/11.00 (compose (compose (compose g a) (compose g (compose a b))) $_915) = % 10.76/11.00 compose (compose (compose g a) (compose g (compose a b))) $_915 % 10.76/11.00 |- ifeq (codomain a) (domain $_915) % 10.76/11.00 (ifeq (codomain a) (domain g) % 10.76/11.00 (compose (compose g a) (compose (compose h a) $_915)) % 10.76/11.00 (compose (compose (compose g a) (compose h a)) $_915)) % 10.76/11.00 (compose (compose (compose g a) (compose h a)) $_915) = % 10.76/11.00 compose (compose (compose g a) (compose h a)) $_915 % 10.76/11.00 |- ifeq (domain $X) (domain $_915) % 10.76/11.00 (ifeq (codomain a) (domain $X) % 10.76/11.00 (compose (compose g a) (compose (domain $X) $_915)) % 10.76/11.00 (compose (compose (compose g a) (domain $X)) $_915)) % 10.76/11.00 (compose (compose (compose g a) (domain $X)) $_915) = % 10.76/11.00 compose (compose (compose g a) (domain $X)) $_915 % 10.76/11.00 |- ifeq (codomain $_914) (codomain $X) % 10.76/11.00 (ifeq (codomain a) (domain $_914) % 10.76/11.00 (compose (compose g a) (compose $_914 (codomain $X))) % 10.76/11.00 (compose (compose (compose g a) $_914) (codomain $X))) % 10.76/11.00 (compose (compose (compose g a) $_914) (codomain $X)) = % 10.76/11.00 compose (compose (compose g a) $_914) (codomain $X) % 10.76/11.00 |- ifeq (codomain $_914) (codomain g) % 10.76/11.00 (ifeq (codomain a) (domain $_914) % 10.76/11.00 (compose (compose g a) (compose $_914 (compose a b))) % 10.76/11.00 (compose (compose (compose g a) $_914) (compose a b))) % 10.76/11.00 (compose (compose (compose g a) $_914) (compose a b)) = % 10.76/11.00 compose (compose (compose g a) $_914) (compose a b) % 10.76/11.00 |- ifeq (codomain $_914) (domain g) % 10.76/11.00 (ifeq (codomain a) (domain $_914) % 10.76/11.00 (compose (compose g a) (compose $_914 (compose g a))) % 10.76/11.00 (compose (compose (compose g a) $_914) (compose g a))) % 10.76/11.00 (compose (compose (compose g a) $_914) (compose g a)) = % 10.76/11.00 compose (compose (compose g a) $_914) (compose g a) % 10.76/11.00 |- ifeq (codomain $_914) (domain g) % 10.76/11.00 (ifeq (codomain a) (domain $_914) % 10.76/11.00 (compose (compose g a) (compose $_914 (compose g (compose a b)))) % 10.76/11.00 (compose (compose (compose g a) $_914) (compose g (compose a b)))) % 10.76/11.00 (compose (compose (compose g a) $_914) (compose g (compose a b))) = % 10.76/11.00 compose (compose (compose g a) $_914) (compose g (compose a b)) % 10.76/11.00 |- ifeq (codomain $_914) (domain g) % 10.76/11.00 (ifeq (codomain a) (domain $_914) % 10.76/11.00 (compose (compose g a) (compose $_914 (compose h a))) % 10.76/11.00 (compose (compose (compose g a) $_914) (compose h a))) % 10.76/11.00 (compose (compose (compose g a) $_914) (compose h a)) = % 10.76/11.00 compose (compose (compose g a) $_914) (compose h a) % 10.76/11.00 |- ifeq (codomain $_914) (domain $X) % 10.76/11.00 (ifeq (codomain a) (domain $_914) % 10.76/11.00 (compose (compose g a) (compose $_914 (domain $X))) % 10.76/11.00 (compose (compose (compose g a) $_914) (domain $X))) % 10.76/11.00 (compose (compose (compose g a) $_914) (domain $X)) = % 10.76/11.00 compose (compose (compose g a) $_914) (domain $X) % 10.76/11.00 |- ifeq (codomain a) (domain g) % 10.76/11.00 (compose (compose h a) (compose g (compose a b))) % 10.76/11.00 (compose (compose (compose h a) (compose g a)) b) = % 10.76/11.00 compose (compose (compose h a) (compose g a)) b % 10.76/11.00 |- ifeq (codomain $X) (domain $_917) % 10.76/11.00 (ifeq (codomain a) (codomain $X) % 10.76/11.00 (compose (compose h a) (compose (codomain $X) $_917)) % 10.76/11.00 (compose (compose (compose h a) (codomain $X)) $_917)) % 10.76/11.00 (compose (compose (compose h a) (codomain $X)) $_917) = % 10.76/11.00 compose (compose (compose h a) (codomain $X)) $_917 % 10.76/11.00 |- ifeq (codomain b) (domain $_917) % 10.76/11.00 (ifeq (codomain a) (codomain g) % 10.76/11.00 (compose (compose h a) (compose (compose a b) $_917)) % 10.76/11.00 (compose (compose (compose h a) (compose a b)) $_917)) % 10.76/11.00 (compose (compose (compose h a) (compose a b)) $_917) = % 10.76/11.00 compose (compose (compose h a) (compose a b)) $_917 % 10.76/11.00 |- ifeq (codomain a) (domain $_917) % 10.76/11.00 (ifeq (codomain a) (domain g) % 10.76/11.00 (compose (compose h a) (compose (compose g a) $_917)) % 10.76/11.00 (compose (compose (compose h a) (compose g a)) $_917)) % 10.76/11.00 (compose (compose (compose h a) (compose g a)) $_917) = % 10.76/11.00 compose (compose (compose h a) (compose g a)) $_917 % 10.76/11.00 |- ifeq (codomain b) (domain $_917) % 10.76/11.00 (ifeq (codomain a) (domain g) % 10.76/11.00 (compose (compose h a) (compose (compose g (compose a b)) $_917)) % 10.76/11.00 (compose (compose (compose h a) (compose g (compose a b))) $_917)) % 10.76/11.00 (compose (compose (compose h a) (compose g (compose a b))) $_917) = % 10.76/11.00 compose (compose (compose h a) (compose g (compose a b))) $_917 % 10.76/11.00 |- ifeq (codomain a) (domain $_917) % 10.76/11.00 (ifeq (codomain a) (domain g) % 10.76/11.00 (compose (compose h a) (compose (compose h a) $_917)) % 10.76/11.00 (compose (compose (compose h a) (compose h a)) $_917)) % 10.76/11.00 (compose (compose (compose h a) (compose h a)) $_917) = % 10.76/11.00 compose (compose (compose h a) (compose h a)) $_917 % 10.76/11.00 |- ifeq (domain $X) (domain $_917) % 10.76/11.00 (ifeq (codomain a) (domain $X) % 10.76/11.00 (compose (compose h a) (compose (domain $X) $_917)) % 10.76/11.00 (compose (compose (compose h a) (domain $X)) $_917)) % 10.76/11.00 (compose (compose (compose h a) (domain $X)) $_917) = % 10.76/11.00 compose (compose (compose h a) (domain $X)) $_917 % 10.76/11.00 |- ifeq (codomain $_916) (codomain $X) % 10.76/11.00 (ifeq (codomain a) (domain $_916) % 10.76/11.00 (compose (compose h a) (compose $_916 (codomain $X))) % 10.76/11.00 (compose (compose (compose h a) $_916) (codomain $X))) % 10.76/11.00 (compose (compose (compose h a) $_916) (codomain $X)) = % 10.76/11.00 compose (compose (compose h a) $_916) (codomain $X) % 10.76/11.00 |- ifeq (codomain $_916) (codomain g) % 10.76/11.00 (ifeq (codomain a) (domain $_916) % 10.76/11.00 (compose (compose h a) (compose $_916 (compose a b))) % 10.76/11.00 (compose (compose (compose h a) $_916) (compose a b))) % 10.76/11.00 (compose (compose (compose h a) $_916) (compose a b)) = % 10.76/11.00 compose (compose (compose h a) $_916) (compose a b) % 10.76/11.00 |- ifeq (codomain $_916) (domain g) % 10.76/11.00 (ifeq (codomain a) (domain $_916) % 10.76/11.00 (compose (compose h a) (compose $_916 (compose g a))) % 10.76/11.00 (compose (compose (compose h a) $_916) (compose g a))) % 10.76/11.00 (compose (compose (compose h a) $_916) (compose g a)) = % 10.76/11.00 compose (compose (compose h a) $_916) (compose g a) % 10.76/11.00 |- ifeq (codomain $_916) (domain g) % 10.76/11.00 (ifeq (codomain a) (domain $_916) % 10.76/11.00 (compose (compose h a) (compose $_916 (compose g (compose a b)))) % 10.76/11.00 (compose (compose (compose h a) $_916) (compose g (compose a b)))) % 10.76/11.00 (compose (compose (compose h a) $_916) (compose g (compose a b))) = % 10.76/11.00 compose (compose (compose h a) $_916) (compose g (compose a b)) % 10.76/11.00 |- ifeq (codomain $_916) (domain g) % 10.76/11.00 (ifeq (codomain a) (domain $_916) % 10.76/11.00 (compose (compose h a) (compose $_916 (compose h a))) % 10.76/11.00 (compose (compose (compose h a) $_916) (compose h a))) % 10.76/11.00 (compose (compose (compose h a) $_916) (compose h a)) = % 10.76/11.00 compose (compose (compose h a) $_916) (compose h a) % 10.76/11.00 |- ifeq (codomain $_916) (domain $X) % 10.76/11.00 (ifeq (codomain a) (domain $_916) % 10.76/11.00 (compose (compose h a) (compose $_916 (domain $X))) % 10.76/11.00 (compose (compose (compose h a) $_916) (domain $X))) % 10.76/11.00 (compose (compose (compose h a) $_916) (domain $X)) = % 10.76/11.00 compose (compose (compose h a) $_916) (domain $X) % 10.76/11.00 |- ifeq (codomain b) (codomain (compose (codomain $_1) (compose a b))) % 10.76/11.00 (ifeq (codomain $_1) (codomain g) % 10.76/11.00 (compose (codomain $_1) % 10.76/11.00 (compose (compose a b) % 10.76/11.00 (codomain (compose (codomain $_1) (compose a b))))) % 10.76/11.00 (compose (codomain $_1) (compose a b))) % 10.76/11.00 (compose (codomain $_1) (compose a b)) = % 10.76/11.00 compose (codomain $_1) (compose a b) % 10.76/11.00 |- ifeq (codomain b) (codomain (compose (compose a b) (compose a b))) % 10.76/11.00 (ifeq (codomain b) (codomain g) % 10.76/11.00 (compose (compose a b) % 10.76/11.00 (compose (compose a b) % 10.76/11.00 (codomain (compose (compose a b) (compose a b))))) % 10.76/11.00 (compose (compose a b) (compose a b))) % 10.76/11.00 (compose (compose a b) (compose a b)) = % 10.76/11.00 compose (compose a b) (compose a b) % 10.76/11.00 |- ifeq (codomain b) (codomain (compose (compose g a) (compose a b))) % 10.76/11.00 (ifeq (codomain a) (codomain g) % 10.76/11.00 (compose (compose g a) % 10.76/11.00 (compose (compose a b) % 10.76/11.00 (codomain (compose (compose g a) (compose a b))))) % 10.76/11.00 (compose (compose g a) (compose a b))) % 10.76/11.00 (compose (compose g a) (compose a b)) = % 10.76/11.00 compose (compose g a) (compose a b) % 10.76/11.00 |- ifeq (codomain b) % 10.76/11.00 (codomain (compose (compose g (compose a b)) (compose a b))) % 10.76/11.00 (ifeq (codomain b) (codomain g) % 10.76/11.00 (compose (compose g (compose a b)) % 10.76/11.00 (compose (compose a b) % 10.76/11.00 (codomain % 10.76/11.00 (compose (compose g (compose a b)) (compose a b))))) % 10.76/11.00 (compose (compose g (compose a b)) (compose a b))) % 10.76/11.00 (compose (compose g (compose a b)) (compose a b)) = % 10.76/11.00 compose (compose g (compose a b)) (compose a b) % 10.76/11.00 |- ifeq (codomain b) (codomain (compose (compose h a) (compose a b))) % 10.76/11.00 (ifeq (codomain a) (codomain g) % 10.76/11.00 (compose (compose h a) % 10.76/11.00 (compose (compose a b) % 10.76/11.00 (codomain (compose (compose h a) (compose a b))))) % 10.76/11.00 (compose (compose h a) (compose a b))) % 10.76/11.00 (compose (compose h a) (compose a b)) = % 10.76/11.00 compose (compose h a) (compose a b) % 10.76/11.01 |- ifeq (codomain b) (codomain (compose (domain $X) (compose a b))) % 10.76/11.01 (ifeq (domain $X) (codomain g) % 10.76/11.01 (compose (domain $X) % 10.76/11.01 (compose (compose a b) % 10.76/11.01 (codomain (compose (domain $X) (compose a b))))) % 10.76/11.01 (compose (domain $X) (compose a b))) % 10.76/11.01 (compose (domain $X) (compose a b)) = % 10.76/11.01 compose (domain $X) (compose a b) % 10.76/11.01 |- ifeq (codomain a) (codomain (compose (codomain $_1) (compose g a))) % 10.76/11.01 (ifeq (codomain $_1) (domain g) % 10.76/11.01 (compose (codomain $_1) % 10.76/11.01 (compose (compose g a) % 10.76/11.01 (codomain (compose (codomain $_1) (compose g a))))) % 10.76/11.01 (compose (codomain $_1) (compose g a))) % 10.76/11.01 (compose (codomain $_1) (compose g a)) = % 10.76/11.01 compose (codomain $_1) (compose g a) % 10.76/11.01 |- ifeq (codomain a) (codomain (compose (compose a b) (compose g a))) % 10.76/11.01 (ifeq (codomain b) (domain g) % 10.76/11.01 (compose (compose a b) % 10.76/11.01 (compose (compose g a) % 10.76/11.01 (codomain (compose (compose a b) (compose g a))))) % 10.76/11.01 (compose (compose a b) (compose g a))) % 10.76/11.01 (compose (compose a b) (compose g a)) = % 10.76/11.01 compose (compose a b) (compose g a) % 10.76/11.01 |- ifeq (codomain a) (codomain (compose (compose g a) (compose g a))) % 10.76/11.01 (ifeq (codomain a) (domain g) % 10.76/11.01 (compose (compose g a) % 10.76/11.01 (compose (compose g a) % 10.76/11.01 (codomain (compose (compose g a) (compose g a))))) % 10.76/11.01 (compose (compose g a) (compose g a))) % 10.76/11.01 (compose (compose g a) (compose g a)) = % 10.76/11.01 compose (compose g a) (compose g a) % 10.76/11.01 |- ifeq (codomain a) % 10.76/11.01 (codomain (compose (compose g (compose a b)) (compose g a))) % 10.76/11.01 (ifeq (codomain b) (domain g) % 10.76/11.01 (compose (compose g (compose a b)) % 10.76/11.01 (compose (compose g a) % 10.76/11.01 (codomain % 10.76/11.01 (compose (compose g (compose a b)) (compose g a))))) % 10.76/11.01 (compose (compose g (compose a b)) (compose g a))) % 10.76/11.01 (compose (compose g (compose a b)) (compose g a)) = % 10.76/11.01 compose (compose g (compose a b)) (compose g a) % 10.76/11.01 |- ifeq (codomain a) (codomain (compose (compose h a) (compose g a))) % 10.76/11.01 (ifeq (codomain a) (domain g) % 10.76/11.01 (compose (compose h a) % 10.76/11.01 (compose (compose g a) % 10.76/11.01 (codomain (compose (compose h a) (compose g a))))) % 10.76/11.01 (compose (compose h a) (compose g a))) % 10.76/11.01 (compose (compose h a) (compose g a)) = % 10.76/11.01 compose (compose h a) (compose g a) % 10.76/11.01 |- ifeq (codomain a) (codomain (compose (domain $X) (compose g a))) % 10.76/11.01 (ifeq (domain $X) (domain g) % 10.76/11.01 (compose (domain $X) % 10.76/11.01 (compose (compose g a) % 10.76/11.01 (codomain (compose (domain $X) (compose g a))))) % 10.76/11.01 (compose (domain $X) (compose g a))) % 10.76/11.01 (compose (domain $X) (compose g a)) = % 10.76/11.01 compose (domain $X) (compose g a) % 10.76/11.01 |- ifeq (codomain $X) (codomain (compose (compose g a) (codomain $X))) % 10.76/11.01 (ifeq (codomain a) (codomain $X) % 10.76/11.01 (compose (compose g a) % 10.76/11.01 (compose (codomain $X) % 10.76/11.01 (codomain (compose (compose g a) (codomain $X))))) % 10.76/11.01 (compose (compose g a) (codomain $X))) % 10.76/11.01 (compose (compose g a) (codomain $X)) = % 10.76/11.01 compose (compose g a) (codomain $X) % 10.76/11.01 |- ifeq (codomain b) % 10.76/11.01 (codomain (compose (compose g a) (compose g (compose a b)))) % 10.76/11.01 (ifeq (codomain a) (domain g) % 10.76/11.01 (compose (compose g a) % 10.76/11.01 (compose (compose g (compose a b)) % 10.76/11.01 (codomain % 10.76/11.01 (compose (compose g a) (compose g (compose a b)))))) % 10.76/11.01 (compose (compose g a) (compose g (compose a b)))) % 10.76/11.01 (compose (compose g a) (compose g (compose a b))) = % 10.76/11.01 compose (compose g a) (compose g (compose a b)) % 10.76/11.01 |- ifeq (codomain a) (codomain (compose (compose g a) (compose h a))) % 10.76/11.01 (ifeq (codomain a) (domain g) % 10.76/11.01 (compose (compose g a) % 10.76/11.01 (compose (compose h a) % 10.76/11.01 (codomain (compose (compose g a) (compose h a))))) % 10.76/11.01 (compose (compose g a) (compose h a))) % 10.76/11.01 (compose (compose g a) (compose h a)) = % 10.76/11.01 compose (compose g a) (compose h a) % 10.76/11.01 |- ifeq (domain $X) (codomain (compose (compose g a) (domain $X))) % 10.76/11.01 (ifeq (codomain a) (domain $X) % 10.76/11.01 (compose (compose g a) % 10.76/11.01 (compose (domain $X) % 10.76/11.01 (codomain (compose (compose g a) (domain $X))))) % 10.76/11.01 (compose (compose g a) (domain $X))) % 10.76/11.01 (compose (compose g a) (domain $X)) = % 10.76/11.01 compose (compose g a) (domain $X) % 10.76/11.01 |- ifeq (codomain a) (domain g) % 10.76/11.01 (ifeq (domain (compose (compose h a) h)) (domain g) % 10.76/11.01 (compose (compose h a) h) % 10.76/11.01 (compose (compose (domain (compose (compose h a) h)) (compose h a)) % 10.76/11.01 h)) % 10.76/11.01 (compose (compose (domain (compose (compose h a) h)) (compose h a)) % 10.76/11.01 h) = % 10.76/11.01 compose (compose (domain (compose (compose h a) h)) (compose h a)) h % 10.76/11.01 |- ifeq (codomain a) (domain g) % 10.76/11.01 (ifeq (codomain $_1) (domain g) % 10.76/11.01 (compose (codomain $_1) (compose (compose h a) h)) % 10.76/11.01 (compose (compose (codomain $_1) (compose h a)) h)) % 10.76/11.01 (compose (compose (codomain $_1) (compose h a)) h) = % 10.76/11.01 compose (compose (codomain $_1) (compose h a)) h % 10.76/11.01 |- ifeq (codomain a) (domain g) % 10.76/11.01 (ifeq (codomain b) (domain g) % 10.76/11.01 (compose (compose g (compose a b)) (compose (compose h a) h)) % 10.76/11.01 (compose (compose (compose g (compose a b)) (compose h a)) h)) % 10.76/11.01 (compose (compose (compose g (compose a b)) (compose h a)) h) = % 10.76/11.01 compose (compose (compose g (compose a b)) (compose h a)) h % 10.76/11.01 |- ifeq (codomain a) (domain g) % 10.76/11.01 (ifeq (codomain a) (domain g) % 10.76/11.01 (compose (compose h a) (compose (compose h a) h)) % 10.76/11.01 (compose (compose (compose h a) (compose h a)) h)) % 10.76/11.01 (compose (compose (compose h a) (compose h a)) h) = % 10.76/11.01 compose (compose (compose h a) (compose h a)) h % 10.76/11.01 |- ifeq (codomain a) (domain g) % 10.76/11.01 (ifeq (domain $X) (domain g) % 10.76/11.01 (compose (domain $X) (compose (compose h a) h)) % 10.76/11.01 (compose (compose (domain $X) (compose h a)) h)) % 10.76/11.01 (compose (compose (domain $X) (compose h a)) h) = % 10.76/11.01 compose (compose (domain $X) (compose h a)) h % 10.76/11.01 |- ifeq (codomain $X) (codomain a) % 10.76/11.01 (ifeq (domain (compose (codomain $X) b)) (codomain $X) % 10.76/11.01 (compose (codomain $X) b) % 10.76/11.01 (compose (compose (domain (compose (codomain $X) b)) (codomain $X)) % 10.76/11.01 b)) % 10.76/11.01 (compose (compose (domain (compose (codomain $X) b)) (codomain $X)) % 10.76/11.01 b) = % 10.76/11.01 compose (compose (domain (compose (codomain $X) b)) (codomain $X)) b % 10.76/11.01 |- ifeq (codomain b) (codomain a) % 10.76/11.01 (ifeq (domain (compose (compose a b) b)) (codomain g) % 10.76/11.01 (compose (compose a b) b) % 10.76/11.01 (compose (compose (domain (compose (compose a b) b)) (compose a b)) % 10.76/11.01 b)) % 10.76/11.01 (compose (compose (domain (compose (compose a b) b)) (compose a b)) % 10.76/11.01 b) = % 10.76/11.01 compose (compose (domain (compose (compose a b) b)) (compose a b)) b % 10.76/11.01 |- ifeq (codomain b) (codomain a) % 10.76/11.01 (ifeq (domain (compose (compose g (compose a b)) b)) (domain g) % 10.76/11.01 (compose (compose g (compose a b)) b) % 10.76/11.01 (compose % 10.76/11.01 (compose (domain (compose (compose g (compose a b)) b)) % 10.76/11.01 (compose g (compose a b))) b)) % 10.76/11.01 (compose % 10.76/11.01 (compose (domain (compose (compose g (compose a b)) b)) % 10.76/11.01 (compose g (compose a b))) b) = % 10.76/11.01 compose % 10.76/11.01 (compose (domain (compose (compose g (compose a b)) b)) % 10.76/11.01 (compose g (compose a b))) b % 10.76/11.01 |- ifeq (domain $X) (codomain a) % 10.76/11.01 (ifeq (domain (compose (domain $X) b)) (domain $X) % 10.76/11.01 (compose (domain $X) b) % 10.76/11.01 (compose (compose (domain (compose (domain $X) b)) (domain $X)) b)) % 10.76/11.01 (compose (compose (domain (compose (domain $X) b)) (domain $X)) b) = % 10.76/11.01 compose (compose (domain (compose (domain $X) b)) (domain $X)) b % 10.76/11.01 |- ifeq (codomain a) (codomain g) % 10.76/11.01 (ifeq (domain (compose (compose h a) a)) (domain g) % 10.76/11.01 (compose (compose h a) a) % 10.76/11.01 (compose (compose (domain (compose (compose h a) a)) (compose h a)) % 10.76/11.01 a)) % 10.76/11.01 (compose (compose (domain (compose (compose h a) a)) (compose h a)) % 10.76/11.01 a) = % 10.76/11.01 compose (compose (domain (compose (compose h a) a)) (compose h a)) a % 10.76/11.01 |- ifeq (codomain a) (codomain g) % 10.76/11.01 (ifeq (codomain $_1) (domain g) % 10.76/11.01 (compose (codomain $_1) (compose (compose h a) a)) % 10.76/11.01 (compose (compose (codomain $_1) (compose h a)) a)) % 10.76/11.01 (compose (compose (codomain $_1) (compose h a)) a) = % 10.76/11.01 compose (compose (codomain $_1) (compose h a)) a % 10.76/11.01 |- ifeq (codomain a) (codomain g) % 10.76/11.01 (ifeq (codomain a) (domain g) % 10.76/11.01 (compose (compose g a) (compose (compose h a) a)) % 10.76/11.01 (compose (compose (compose g a) (compose h a)) a)) % 10.76/11.01 (compose (compose (compose g a) (compose h a)) a) = % 10.76/11.01 compose (compose (compose g a) (compose h a)) a % 10.76/11.01 |- ifeq (codomain a) (codomain g) % 10.76/11.01 (ifeq (codomain b) (domain g) % 10.76/11.01 (compose (compose g (compose a b)) (compose (compose h a) a)) % 10.76/11.01 (compose (compose (compose g (compose a b)) (compose h a)) a)) % 10.76/11.01 (compose (compose (compose g (compose a b)) (compose h a)) a) = % 10.76/11.01 compose (compose (compose g (compose a b)) (compose h a)) a % 10.76/11.01 |- ifeq (codomain a) (codomain g) % 10.76/11.01 (ifeq (domain $X) (domain g) % 10.76/11.01 (compose (domain $X) (compose (compose h a) a)) % 10.76/11.01 (compose (compose (domain $X) (compose h a)) a)) % 10.76/11.01 (compose (compose (domain $X) (compose h a)) a) = % 10.76/11.01 compose (compose (domain $X) (compose h a)) a % 10.76/11.01 |- ifeq (codomain $X) (codomain g) % 10.76/11.01 (ifeq (codomain a) (codomain $X) % 10.76/11.01 (compose (compose g a) (compose (codomain $X) a)) % 10.76/11.01 (compose (compose (compose g a) (codomain $X)) a)) % 10.76/11.01 (compose (compose (compose g a) (codomain $X)) a) = % 10.76/11.01 compose (compose (compose g a) (codomain $X)) a % 10.76/11.01 |- ifeq (codomain a) (codomain g) % 10.76/11.01 (ifeq (codomain a) (domain g) % 10.76/11.01 (compose (compose g a) (compose (compose g a) a)) % 10.76/11.01 (compose (compose (compose g a) (compose g a)) a)) % 10.76/11.01 (compose (compose (compose g a) (compose g a)) a) = % 10.76/11.01 compose (compose (compose g a) (compose g a)) a % 10.76/11.01 |- ifeq (codomain b) (codomain g) % 10.76/11.01 (ifeq (codomain a) (domain g) % 10.76/11.01 (compose (compose g a) (compose (compose g (compose a b)) a)) % 10.76/11.01 (compose (compose (compose g a) (compose g (compose a b))) a)) % 10.76/11.01 (compose (compose (compose g a) (compose g (compose a b))) a) = % 10.76/11.01 compose (compose (compose g a) (compose g (compose a b))) a % 10.76/11.01 |- ifeq (domain $X) (codomain g) % 10.76/11.01 (ifeq (codomain a) (domain $X) % 10.76/11.01 (compose (compose g a) (compose (domain $X) a)) % 10.76/11.01 (compose (compose (compose g a) (domain $X)) a)) % 10.76/11.01 (compose (compose (compose g a) (domain $X)) a) = % 10.76/11.01 compose (compose (compose g a) (domain $X)) a % 10.76/11.01 |- ifeq (codomain a) (domain g) % 10.76/11.01 (ifeq (codomain $_1) (codomain g) % 10.76/11.01 (compose (codomain $_1) (compose a h)) % 10.76/11.01 (compose (compose (codomain $_1) a) h)) % 10.76/11.01 (compose (compose (codomain $_1) a) h) = % 10.76/11.01 compose (compose (codomain $_1) a) h % 10.76/11.01 |- ifeq (codomain a) (domain g) % 10.76/11.01 (ifeq (codomain b) (codomain g) % 10.76/11.01 (compose (compose g (compose a b)) (compose a h)) % 10.76/11.01 (compose (compose (compose g (compose a b)) a) h)) % 10.76/11.01 (compose (compose (compose g (compose a b)) a) h) = % 10.76/11.01 compose (compose (compose g (compose a b)) a) h % 10.76/11.01 |- ifeq (codomain a) (domain g) % 10.76/11.01 (ifeq (codomain a) (codomain g) (compose (compose h a) (compose a h)) % 10.76/11.01 (compose (compose (compose h a) a) h)) % 10.76/11.01 (compose (compose (compose h a) a) h) = % 10.76/11.01 compose (compose (compose h a) a) h % 10.76/11.01 |- ifeq (codomain a) (domain g) % 10.76/11.01 (ifeq (domain $X) (codomain g) (compose (domain $X) (compose a h)) % 10.76/11.01 (compose (compose (domain $X) a) h)) % 10.76/11.01 (compose (compose (domain $X) a) h) = % 10.76/11.01 compose (compose (domain $X) a) h % 10.76/11.01 |- ifeq (codomain b) (codomain $X) % 10.76/11.01 (ifeq (codomain b) (codomain a) % 10.76/11.01 (compose (compose a b) (compose b (codomain $X))) % 10.76/11.01 (compose (compose (compose a b) b) (codomain $X))) % 10.76/11.01 (compose (compose (compose a b) b) (codomain $X)) = % 10.76/11.01 compose (compose (compose a b) b) (codomain $X) % 10.76/11.01 |- ifeq (codomain b) (codomain g) % 10.76/11.01 (ifeq (codomain b) (codomain a) % 10.76/11.01 (compose (compose a b) (compose b (compose a b))) % 10.76/11.01 (compose (compose (compose a b) b) (compose a b))) % 10.76/11.01 (compose (compose (compose a b) b) (compose a b)) = % 10.76/11.01 compose (compose (compose a b) b) (compose a b) % 10.76/11.01 |- ifeq (codomain b) (domain g) % 10.76/11.01 (ifeq (codomain b) (codomain a) % 10.76/11.01 (compose (compose a b) (compose b (compose g a))) % 10.76/11.01 (compose (compose (compose a b) b) (compose g a))) % 10.76/11.01 (compose (compose (compose a b) b) (compose g a)) = % 10.76/11.01 compose (compose (compose a b) b) (compose g a) % 10.76/11.02 |- ifeq (codomain b) (domain g) % 10.76/11.02 (ifeq (codomain b) (codomain a) % 10.76/11.02 (compose (compose a b) (compose b (compose g (compose a b)))) % 10.76/11.02 (compose (compose (compose a b) b) (compose g (compose a b)))) % 10.76/11.02 (compose (compose (compose a b) b) (compose g (compose a b))) = % 10.76/11.02 compose (compose (compose a b) b) (compose g (compose a b)) % 10.76/11.02 |- ifeq (codomain b) (domain $X) % 10.76/11.02 (ifeq (codomain b) (codomain a) % 10.76/11.02 (compose (compose a b) (compose b (domain $X))) % 10.76/11.02 (compose (compose (compose a b) b) (domain $X))) % 10.76/11.02 (compose (compose (compose a b) b) (domain $X)) = % 10.76/11.02 compose (compose (compose a b) b) (domain $X) % 10.76/11.02 |- ifeq (codomain b) (codomain g) % 10.76/11.02 (ifeq (domain (compose b (compose a b))) (codomain a) % 10.76/11.02 (compose b (compose a b)) % 10.76/11.02 (compose (compose (domain (compose b (compose a b))) b) % 10.76/11.02 (compose a b))) % 10.76/11.02 (compose (compose (domain (compose b (compose a b))) b) % 10.76/11.02 (compose a b)) = % 10.76/11.02 compose (compose (domain (compose b (compose a b))) b) (compose a b) % 10.76/11.02 |- ifeq (codomain b) (codomain g) % 10.76/11.02 (ifeq (codomain $_1) (codomain a) % 10.76/11.02 (compose (codomain $_1) (compose b (compose a b))) % 10.76/11.02 (compose (compose (codomain $_1) b) (compose a b))) % 10.76/11.02 (compose (compose (codomain $_1) b) (compose a b)) = % 10.76/11.02 compose (compose (codomain $_1) b) (compose a b) % 10.76/11.02 |- ifeq (codomain b) (codomain g) % 10.76/11.02 (ifeq (codomain b) (codomain a) % 10.76/11.02 (compose (compose g (compose a b)) (compose b (compose a b))) % 10.76/11.02 (compose (compose (compose g (compose a b)) b) (compose a b))) % 10.76/11.02 (compose (compose (compose g (compose a b)) b) (compose a b)) = % 10.76/11.02 compose (compose (compose g (compose a b)) b) (compose a b) % 10.76/11.02 |- ifeq (codomain b) (codomain g) % 10.76/11.02 (ifeq (domain $X) (codomain a) % 10.76/11.02 (compose (domain $X) (compose b (compose a b))) % 10.76/11.02 (compose (compose (domain $X) b) (compose a b))) % 10.76/11.02 (compose (compose (domain $X) b) (compose a b)) = % 10.76/11.02 compose (compose (domain $X) b) (compose a b) % 10.76/11.02 |- ifeq (codomain b) (codomain g) % 10.76/11.02 (ifeq (codomain g) (codomain a) (compose h (compose b (compose a b))) % 10.76/11.02 (compose (compose h b) (compose a b))) % 10.76/11.02 (compose (compose h b) (compose a b)) = % 10.76/11.02 compose (compose h b) (compose a b) % 10.76/11.02 |- ifeq (codomain b) (domain g) % 10.76/11.02 (ifeq (domain (compose b (compose g a))) (codomain a) % 10.76/11.02 (compose b (compose g a)) % 10.76/11.02 (compose (compose (domain (compose b (compose g a))) b) % 10.76/11.02 (compose g a))) % 10.76/11.02 (compose (compose (domain (compose b (compose g a))) b) % 10.76/11.02 (compose g a)) = % 10.76/11.02 compose (compose (domain (compose b (compose g a))) b) (compose g a) % 10.76/11.02 |- ifeq (codomain b) (domain g) % 10.76/11.02 (ifeq (codomain $_1) (codomain a) % 10.76/11.02 (compose (codomain $_1) (compose b (compose g a))) % 10.76/11.02 (compose (compose (codomain $_1) b) (compose g a))) % 10.76/11.02 (compose (compose (codomain $_1) b) (compose g a)) = % 10.76/11.02 compose (compose (codomain $_1) b) (compose g a) % 10.76/11.02 |- ifeq (codomain b) (domain g) % 10.76/11.02 (ifeq (codomain b) (codomain a) % 10.76/11.02 (compose (compose g (compose a b)) (compose b (compose g a))) % 10.76/11.02 (compose (compose (compose g (compose a b)) b) (compose g a))) % 10.76/11.02 (compose (compose (compose g (compose a b)) b) (compose g a)) = % 10.76/11.02 compose (compose (compose g (compose a b)) b) (compose g a) % 10.76/11.02 |- ifeq (codomain b) (domain g) % 10.76/11.02 (ifeq (domain $X) (codomain a) % 10.76/11.02 (compose (domain $X) (compose b (compose g a))) % 10.76/11.02 (compose (compose (domain $X) b) (compose g a))) % 10.76/11.02 (compose (compose (domain $X) b) (compose g a)) = % 10.76/11.02 compose (compose (domain $X) b) (compose g a) % 10.76/11.02 |- ifeq (codomain g) (codomain $X) % 10.76/11.02 (ifeq (codomain a) (domain g) % 10.76/11.02 (compose (compose h a) (compose h (codomain $X))) % 10.76/11.02 (compose (compose (compose h a) h) (codomain $X))) % 10.76/11.02 (compose (compose (compose h a) h) (codomain $X)) = % 10.76/11.02 compose (compose (compose h a) h) (codomain $X) % 10.76/11.02 |- ifeq (codomain g) (domain g) % 10.76/11.02 (ifeq (codomain a) (domain g) % 10.76/11.02 (compose (compose h a) (compose h (compose g (compose a b)))) % 10.76/11.02 (compose (compose (compose h a) h) (compose g (compose a b)))) % 10.76/11.02 (compose (compose (compose h a) h) (compose g (compose a b))) = % 10.76/11.02 compose (compose (compose h a) h) (compose g (compose a b)) % 10.76/11.02 |- ifeq (codomain g) (domain g) % 10.76/11.02 (ifeq (codomain a) (domain g) % 10.76/11.02 (compose (compose h a) (compose h (compose h a))) % 10.76/11.02 (compose (compose (compose h a) h) (compose h a))) % 10.76/11.02 (compose (compose (compose h a) h) (compose h a)) = % 10.76/11.02 compose (compose (compose h a) h) (compose h a) % 10.76/11.02 |- ifeq (codomain g) (domain $X) % 10.76/11.02 (ifeq (codomain a) (domain g) % 10.76/11.02 (compose (compose h a) (compose h (domain $X))) % 10.76/11.02 (compose (compose (compose h a) h) (domain $X))) % 10.76/11.02 (compose (compose (compose h a) h) (domain $X)) = % 10.76/11.02 compose (compose (compose h a) h) (domain $X) % 10.76/11.02 |- ifeq (codomain b) (codomain $X) % 10.76/11.02 (ifeq (codomain g) (codomain a) (compose h (compose b (codomain $X))) % 10.76/11.02 (compose (compose h b) (codomain $X))) % 10.76/11.02 (compose (compose h b) (codomain $X)) = % 10.76/11.02 compose (compose h b) (codomain $X) % 10.76/11.02 |- ifeq (codomain b) (domain g) % 10.76/11.02 (ifeq (codomain g) (codomain a) % 10.76/11.02 (compose h (compose b (compose g (compose a b)))) % 10.76/11.02 (compose (compose h b) (compose g (compose a b)))) % 10.76/11.02 (compose (compose h b) (compose g (compose a b))) = % 10.76/11.02 compose (compose h b) (compose g (compose a b)) % 10.76/11.02 |- ifeq (codomain b) (domain $X) % 10.76/11.02 (ifeq (codomain g) (codomain a) (compose h (compose b (domain $X))) % 10.76/11.02 (compose (compose h b) (domain $X))) % 10.76/11.02 (compose (compose h b) (domain $X)) = % 10.76/11.02 compose (compose h b) (domain $X) % 10.76/11.02 |- ifeq (codomain $X) (codomain g) % 10.76/11.02 (ifeq (domain (compose (codomain $X) a)) (codomain $X) % 10.76/11.02 (compose (codomain $X) a) % 10.76/11.02 (compose (compose (domain (compose (codomain $X) a)) (codomain $X)) % 10.76/11.02 a)) % 10.76/11.02 (compose (compose (domain (compose (codomain $X) a)) (codomain $X)) % 10.76/11.02 a) = % 10.76/11.02 compose (compose (domain (compose (codomain $X) a)) (codomain $X)) a % 10.76/11.02 |- ifeq (codomain a) (codomain g) % 10.76/11.02 (ifeq (domain (compose (compose g a) a)) (domain g) % 10.76/11.02 (compose (compose g a) a) % 10.76/11.02 (compose (compose (domain (compose (compose g a) a)) (compose g a)) % 10.76/11.02 a)) % 10.76/11.02 (compose (compose (domain (compose (compose g a) a)) (compose g a)) % 10.76/11.02 a) = % 10.76/11.02 compose (compose (domain (compose (compose g a) a)) (compose g a)) a % 10.76/11.02 |- ifeq (codomain b) (codomain g) % 10.76/11.02 (ifeq (domain (compose (compose g (compose a b)) a)) (domain g) % 10.76/11.02 (compose (compose g (compose a b)) a) % 10.76/11.02 (compose % 10.76/11.02 (compose (domain (compose (compose g (compose a b)) a)) % 10.76/11.02 (compose g (compose a b))) a)) % 10.76/11.02 (compose % 10.76/11.02 (compose (domain (compose (compose g (compose a b)) a)) % 10.76/11.02 (compose g (compose a b))) a) = % 10.76/11.02 compose % 10.76/11.02 (compose (domain (compose (compose g (compose a b)) a)) % 10.76/11.02 (compose g (compose a b))) a % 10.76/11.02 |- ifeq (domain $X) (codomain g) % 10.76/11.02 (ifeq (domain (compose (domain $X) a)) (domain $X) % 10.76/11.02 (compose (domain $X) a) % 10.76/11.02 (compose (compose (domain (compose (domain $X) a)) (domain $X)) a)) % 10.76/11.02 (compose (compose (domain (compose (domain $X) a)) (domain $X)) a) = % 10.76/11.02 compose (compose (domain (compose (domain $X) a)) (domain $X)) a % 10.76/11.02 |- ifeq (codomain a) (codomain $X) % 10.76/11.02 (ifeq (codomain b) (codomain g) % 10.76/11.02 (compose (compose a b) (compose a (codomain $X))) % 10.76/11.02 (compose (compose (compose a b) a) (codomain $X))) % 10.76/11.02 (compose (compose (compose a b) a) (codomain $X)) = % 10.76/11.02 compose (compose (compose a b) a) (codomain $X) % 10.76/11.02 |- ifeq (codomain a) (domain g) % 10.76/11.02 (ifeq (codomain b) (codomain g) % 10.76/11.02 (compose (compose a b) (compose a (compose g a))) % 10.76/11.02 (compose (compose (compose a b) a) (compose g a))) % 10.76/11.02 (compose (compose (compose a b) a) (compose g a)) = % 10.76/11.02 compose (compose (compose a b) a) (compose g a) % 10.76/11.02 |- ifeq (codomain a) (domain g) % 10.76/11.02 (ifeq (codomain b) (codomain g) % 10.76/11.02 (compose (compose a b) (compose a (compose g (compose a b)))) % 10.76/11.02 (compose (compose (compose a b) a) (compose g (compose a b)))) % 10.76/11.02 (compose (compose (compose a b) a) (compose g (compose a b))) = % 10.76/11.02 compose (compose (compose a b) a) (compose g (compose a b)) % 10.76/11.02 |- ifeq (codomain a) (domain g) % 10.76/11.02 (ifeq (codomain b) (codomain g) % 10.76/11.02 (compose (compose a b) (compose a (compose h a))) % 10.76/11.02 (compose (compose (compose a b) a) (compose h a))) % 10.76/11.02 (compose (compose (compose a b) a) (compose h a)) = % 10.76/11.02 compose (compose (compose a b) a) (compose h a) % 10.76/11.02 |- ifeq (codomain a) (domain $X) % 10.76/11.02 (ifeq (codomain b) (codomain g) % 10.76/11.02 (compose (compose a b) (compose a (domain $X))) % 10.76/11.02 (compose (compose (compose a b) a) (domain $X))) % 10.76/11.02 (compose (compose (compose a b) a) (domain $X)) = % 10.76/11.02 compose (compose (compose a b) a) (domain $X) % 10.76/11.02 |- ifeq (codomain a) (codomain $X) % 10.76/11.02 (ifeq (codomain a) (codomain g) % 10.76/11.02 (compose (compose h a) (compose a (codomain $X))) % 10.76/11.02 (compose (compose (compose h a) a) (codomain $X))) % 10.76/11.02 (compose (compose (compose h a) a) (codomain $X)) = % 10.76/11.02 compose (compose (compose h a) a) (codomain $X) % 10.76/11.03 |- ifeq (codomain a) (domain g) % 10.76/11.03 (ifeq (codomain a) (codomain g) % 10.76/11.03 (compose (compose h a) (compose a (compose g a))) % 10.76/11.03 (compose (compose (compose h a) a) (compose g a))) % 10.76/11.03 (compose (compose (compose h a) a) (compose g a)) = % 10.76/11.03 compose (compose (compose h a) a) (compose g a) % 10.76/11.03 |- ifeq (codomain a) (domain g) % 10.76/11.03 (ifeq (codomain a) (codomain g) % 10.76/11.03 (compose (compose h a) (compose a (compose g (compose a b)))) % 10.76/11.03 (compose (compose (compose h a) a) (compose g (compose a b)))) % 10.76/11.03 (compose (compose (compose h a) a) (compose g (compose a b))) = % 10.76/11.03 compose (compose (compose h a) a) (compose g (compose a b)) % 10.76/11.03 |- ifeq (codomain a) (domain g) % 10.76/11.03 (ifeq (codomain a) (codomain g) % 10.76/11.03 (compose (compose h a) (compose a (compose h a))) % 10.76/11.03 (compose (compose (compose h a) a) (compose h a))) % 10.76/11.03 (compose (compose (compose h a) a) (compose h a)) = % 10.76/11.03 compose (compose (compose h a) a) (compose h a) % 10.76/11.03 |- ifeq (codomain a) (domain $X) % 10.76/11.03 (ifeq (codomain a) (codomain g) % 10.76/11.03 (compose (compose h a) (compose a (domain $X))) % 10.76/11.03 (compose (compose (compose h a) a) (domain $X))) % 10.76/11.03 (compose (compose (compose h a) a) (domain $X)) = % 10.76/11.03 compose (compose (compose h a) a) (domain $X) % 10.76/11.03 |- ifeq (codomain a) (domain g) % 10.76/11.03 (ifeq (codomain $_1) (codomain g) % 10.76/11.03 (compose (codomain $_1) (compose a (compose g a))) % 10.76/11.03 (compose (compose (codomain $_1) a) (compose g a))) % 10.76/11.03 (compose (compose (codomain $_1) a) (compose g a)) = % 10.76/11.03 compose (compose (codomain $_1) a) (compose g a) % 10.76/11.03 |- ifeq (codomain a) (domain g) % 10.76/11.03 (ifeq (codomain b) (codomain g) % 10.76/11.03 (compose (compose g (compose a b)) (compose a (compose g a))) % 10.76/11.03 (compose (compose (compose g (compose a b)) a) (compose g a))) % 10.76/11.03 (compose (compose (compose g (compose a b)) a) (compose g a)) = % 10.76/11.03 compose (compose (compose g (compose a b)) a) (compose g a) % 10.76/11.03 |- ifeq (codomain a) (domain g) % 10.76/11.03 (ifeq (domain $X) (codomain g) % 10.76/11.03 (compose (domain $X) (compose a (compose g a))) % 10.76/11.03 (compose (compose (domain $X) a) (compose g a))) % 10.76/11.03 (compose (compose (domain $X) a) (compose g a)) = % 10.76/11.03 compose (compose (domain $X) a) (compose g a) % 10.76/11.03 |- ifeq (codomain b) (codomain $X) % 10.76/11.03 (ifeq (domain (compose b (codomain $X))) (codomain a) % 10.76/11.03 (compose b (codomain $X)) % 10.76/11.03 (compose (compose (domain (compose b (codomain $X))) b) % 10.76/11.03 (codomain $X))) % 10.76/11.03 (compose (compose (domain (compose b (codomain $X))) b) % 10.76/11.03 (codomain $X)) = % 10.76/11.03 compose (compose (domain (compose b (codomain $X))) b) (codomain $X) % 10.76/11.03 |- ifeq (codomain b) (domain g) % 10.76/11.03 (ifeq (domain (compose b (compose g (compose a b)))) (codomain a) % 10.76/11.03 (compose b (compose g (compose a b))) % 10.76/11.03 (compose (compose (domain (compose b (compose g (compose a b)))) b) % 10.76/11.03 (compose g (compose a b)))) % 10.76/11.03 (compose (compose (domain (compose b (compose g (compose a b)))) b) % 10.76/11.03 (compose g (compose a b))) = % 10.76/11.03 compose (compose (domain (compose b (compose g (compose a b)))) b) % 10.76/11.03 (compose g (compose a b)) % 10.76/11.03 |- ifeq (codomain b) (domain $X) % 10.76/11.03 (ifeq (domain (compose b (domain $X))) (codomain a) % 10.76/11.03 (compose b (domain $X)) % 10.76/11.03 (compose (compose (domain (compose b (domain $X))) b) (domain $X))) % 10.76/11.03 (compose (compose (domain (compose b (domain $X))) b) (domain $X)) = % 10.76/11.03 compose (compose (domain (compose b (domain $X))) b) (domain $X) % 10.76/11.03 |- ifeq (codomain a) (codomain $X) % 10.76/11.03 (ifeq (codomain g) (domain g) % 10.76/11.03 (compose h (compose (compose g a) (codomain $X))) % 10.76/11.03 (compose (compose h (compose g a)) (codomain $X))) % 10.76/11.03 (compose (compose h (compose g a)) (codomain $X)) = % 10.76/11.03 compose (compose h (compose g a)) (codomain $X) % 10.76/11.03 |- ifeq (codomain a) (codomain g) % 10.76/11.03 (ifeq (codomain g) (domain g) % 10.76/11.03 (compose h (compose (compose g a) (compose a b))) % 10.76/11.03 (compose (compose h (compose g a)) (compose a b))) % 10.76/11.03 (compose (compose h (compose g a)) (compose a b)) = % 10.76/11.03 compose (compose h (compose g a)) (compose a b) % 10.76/11.03 |- ifeq (codomain a) (domain g) % 10.76/11.03 (ifeq (codomain g) (domain g) % 10.76/11.03 (compose h (compose (compose g a) (compose g (compose a b)))) % 10.76/11.03 (compose (compose h (compose g a)) (compose g (compose a b)))) % 10.76/11.03 (compose (compose h (compose g a)) (compose g (compose a b))) = % 10.76/11.03 compose (compose h (compose g a)) (compose g (compose a b)) % 10.76/11.03 |- ifeq (codomain a) (domain g) % 10.76/11.03 (ifeq (codomain g) (domain g) % 10.76/11.03 (compose h (compose (compose g a) (compose h a))) % 10.76/11.03 (compose (compose h (compose g a)) (compose h a))) % 10.76/11.03 (compose (compose h (compose g a)) (compose h a)) = % 10.76/11.03 compose (compose h (compose g a)) (compose h a) % 10.76/11.03 |- ifeq (codomain a) (domain $X) % 10.76/11.03 (ifeq (codomain g) (domain g) % 10.76/11.03 (compose h (compose (compose g a) (domain $X))) % 10.76/11.03 (compose (compose h (compose g a)) (domain $X))) % 10.76/11.03 (compose (compose h (compose g a)) (domain $X)) = % 10.76/11.03 compose (compose h (compose g a)) (domain $X) % 10.76/11.03 |- compose (compose h g) (compose a b) = % 10.76/11.03 ifeq (codomain g) (domain g) (compose h (compose g (compose a b))) % 10.76/11.03 (compose (compose h g) (compose a b)) % 10.76/11.03 |- ifeq (codomain $X) (codomain g) % 10.76/11.03 (ifeq (codomain g) (codomain $X) % 10.76/11.03 (compose h (compose (codomain $X) (compose a b))) % 10.76/11.03 (compose (compose h (codomain $X)) (compose a b))) % 10.76/11.03 (compose (compose h (codomain $X)) (compose a b)) = % 10.76/11.03 compose (compose h (codomain $X)) (compose a b) % 10.76/11.03 |- ifeq (codomain b) (codomain g) % 10.76/11.03 (ifeq (codomain g) (domain g) % 10.76/11.03 (compose h (compose (compose g (compose a b)) (compose a b))) % 10.76/11.03 (compose (compose h (compose g (compose a b))) (compose a b))) % 10.76/11.03 (compose (compose h (compose g (compose a b))) (compose a b)) = % 10.76/11.03 compose (compose h (compose g (compose a b))) (compose a b) % 10.76/11.03 |- ifeq (codomain a) (codomain g) % 10.76/11.03 (ifeq (codomain g) (domain g) % 10.76/11.03 (compose h (compose (compose h a) (compose a b))) % 10.76/11.03 (compose (compose h (compose h a)) (compose a b))) % 10.76/11.03 (compose (compose h (compose h a)) (compose a b)) = % 10.76/11.03 compose (compose h (compose h a)) (compose a b) % 10.76/11.03 |- ifeq (domain $X) (codomain g) % 10.76/11.03 (ifeq (codomain g) (domain $X) % 10.76/11.03 (compose h (compose (domain $X) (compose a b))) % 10.76/11.03 (compose (compose h (domain $X)) (compose a b))) % 10.76/11.03 (compose (compose h (domain $X)) (compose a b)) = % 10.76/11.03 compose (compose h (domain $X)) (compose a b) % 10.76/11.03 |- ifeq (codomain b) (codomain a) % 10.76/11.03 (ifeq (codomain $_1) (domain g) % 10.76/11.03 (compose (codomain $_1) (compose (compose g (compose a b)) b)) % 10.76/11.03 (compose (compose (codomain $_1) (compose g (compose a b))) b)) % 10.76/11.03 (compose (compose (codomain $_1) (compose g (compose a b))) b) = % 10.76/11.03 compose (compose (codomain $_1) (compose g (compose a b))) b % 10.76/11.03 |- ifeq (codomain b) (codomain a) % 10.76/11.03 (ifeq (codomain b) (domain g) % 10.76/11.03 (compose (compose a b) (compose (compose g (compose a b)) b)) % 10.76/11.03 (compose (compose (compose a b) (compose g (compose a b))) b)) % 10.76/11.03 (compose (compose (compose a b) (compose g (compose a b))) b) = % 10.76/11.03 compose (compose (compose a b) (compose g (compose a b))) b % 10.76/11.03 |- ifeq (codomain b) (codomain a) % 10.76/11.03 (ifeq (codomain b) (domain g) % 10.76/11.03 (compose (compose g (compose a b)) % 10.76/11.03 (compose (compose g (compose a b)) b)) % 10.76/11.03 (compose % 10.76/11.03 (compose (compose g (compose a b)) (compose g (compose a b))) % 10.76/11.03 b)) % 10.76/11.03 (compose (compose (compose g (compose a b)) (compose g (compose a b))) % 10.76/11.03 b) = % 10.76/11.03 compose (compose (compose g (compose a b)) (compose g (compose a b))) b % 10.76/11.03 |- ifeq (codomain b) (codomain a) % 10.76/11.03 (ifeq (codomain a) (domain g) % 10.76/11.03 (compose (compose h a) (compose (compose g (compose a b)) b)) % 10.76/11.03 (compose (compose (compose h a) (compose g (compose a b))) b)) % 10.76/11.03 (compose (compose (compose h a) (compose g (compose a b))) b) = % 10.76/11.03 compose (compose (compose h a) (compose g (compose a b))) b % 10.76/11.03 |- ifeq (codomain b) (codomain a) % 10.76/11.03 (ifeq (domain $X) (domain g) % 10.76/11.03 (compose (domain $X) (compose (compose g (compose a b)) b)) % 10.76/11.03 (compose (compose (domain $X) (compose g (compose a b))) b)) % 10.76/11.03 (compose (compose (domain $X) (compose g (compose a b))) b) = % 10.76/11.03 compose (compose (domain $X) (compose g (compose a b))) b % 10.76/11.03 |- ifeq (codomain $X) (domain g) % 10.76/11.03 (ifeq (codomain a) (codomain $X) % 10.76/11.03 (compose (compose g a) (compose (codomain $X) (compose g a))) % 10.76/11.03 (compose (compose (compose g a) (codomain $X)) (compose g a))) % 10.76/11.03 (compose (compose (compose g a) (codomain $X)) (compose g a)) = % 10.76/11.03 compose (compose (compose g a) (codomain $X)) (compose g a) % 10.76/11.03 |- ifeq (codomain b) (domain g) % 10.76/11.03 (ifeq (codomain a) (codomain g) % 10.76/11.03 (compose (compose g a) (compose (compose a b) (compose g a))) % 10.76/11.03 (compose (compose (compose g a) (compose a b)) (compose g a))) % 10.76/11.03 (compose (compose (compose g a) (compose a b)) (compose g a)) = % 10.76/11.03 compose (compose (compose g a) (compose a b)) (compose g a) % 10.76/11.04 |- ifeq (codomain a) (domain g) % 10.76/11.04 (ifeq (codomain a) (domain g) % 10.76/11.04 (compose (compose g a) (compose (compose g a) (compose g a))) % 10.76/11.04 (compose (compose (compose g a) (compose g a)) (compose g a))) % 10.76/11.04 (compose (compose (compose g a) (compose g a)) (compose g a)) = % 10.76/11.04 compose (compose (compose g a) (compose g a)) (compose g a) % 10.76/11.04 |- ifeq (codomain b) (domain g) % 10.76/11.04 (ifeq (codomain a) (domain g) % 10.76/11.04 (compose (compose g a) % 10.76/11.04 (compose (compose g (compose a b)) (compose g a))) % 10.76/11.04 (compose (compose (compose g a) (compose g (compose a b))) % 10.76/11.04 (compose g a))) % 10.76/11.04 (compose (compose (compose g a) (compose g (compose a b))) % 10.76/11.04 (compose g a)) = % 10.76/11.04 compose (compose (compose g a) (compose g (compose a b))) (compose g a) % 10.76/11.04 |- ifeq (codomain a) (domain g) % 10.76/11.04 (ifeq (codomain a) (domain g) % 10.76/11.04 (compose (compose g a) (compose (compose h a) (compose g a))) % 10.76/11.04 (compose (compose (compose g a) (compose h a)) (compose g a))) % 10.76/11.04 (compose (compose (compose g a) (compose h a)) (compose g a)) = % 10.76/11.04 compose (compose (compose g a) (compose h a)) (compose g a) % 10.76/11.04 |- ifeq (domain $X) (domain g) % 10.76/11.04 (ifeq (codomain a) (domain $X) % 10.76/11.04 (compose (compose g a) (compose (domain $X) (compose g a))) % 10.76/11.04 (compose (compose (compose g a) (domain $X)) (compose g a))) % 10.76/11.04 (compose (compose (compose g a) (domain $X)) (compose g a)) = % 10.76/11.04 compose (compose (compose g a) (domain $X)) (compose g a) % 10.76/11.04 |- ifeq (codomain a) (codomain $X) % 10.76/11.04 (ifeq (codomain b) (domain g) % 10.76/11.04 (compose (compose a b) (compose (compose g a) (codomain $X))) % 10.76/11.04 (compose (compose (compose a b) (compose g a)) (codomain $X))) % 10.76/11.04 (compose (compose (compose a b) (compose g a)) (codomain $X)) = % 10.76/11.04 compose (compose (compose a b) (compose g a)) (codomain $X) % 10.76/11.04 |- ifeq (codomain a) (codomain g) % 10.76/11.04 (ifeq (codomain b) (domain g) % 10.76/11.04 (compose (compose a b) (compose (compose g a) (compose a b))) % 10.76/11.04 (compose (compose (compose a b) (compose g a)) (compose a b))) % 10.76/11.04 (compose (compose (compose a b) (compose g a)) (compose a b)) = % 10.76/11.04 compose (compose (compose a b) (compose g a)) (compose a b) % 10.76/11.04 |- ifeq (codomain a) (domain g) % 10.76/11.04 (ifeq (codomain b) (domain g) % 10.76/11.04 (compose (compose a b) (compose (compose g a) (compose g a))) % 10.76/11.04 (compose (compose (compose a b) (compose g a)) (compose g a))) % 10.76/11.04 (compose (compose (compose a b) (compose g a)) (compose g a)) = % 10.76/11.04 compose (compose (compose a b) (compose g a)) (compose g a) % 10.76/11.04 |- ifeq (codomain a) (domain g) % 10.76/11.04 (ifeq (codomain b) (domain g) % 10.76/11.04 (compose (compose a b) % 10.76/11.04 (compose (compose g a) (compose g (compose a b)))) % 10.76/11.04 (compose (compose (compose a b) (compose g a)) % 10.76/11.04 (compose g (compose a b)))) % 10.76/11.04 (compose (compose (compose a b) (compose g a)) % 10.76/11.04 (compose g (compose a b))) = % 10.76/11.04 compose (compose (compose a b) (compose g a)) (compose g (compose a b)) % 10.76/11.04 |- ifeq (codomain a) (domain g) % 10.76/11.04 (ifeq (codomain b) (domain g) % 10.76/11.04 (compose (compose a b) (compose (compose g a) (compose h a))) % 10.76/11.04 (compose (compose (compose a b) (compose g a)) (compose h a))) % 10.76/11.04 (compose (compose (compose a b) (compose g a)) (compose h a)) = % 10.76/11.04 compose (compose (compose a b) (compose g a)) (compose h a) % 10.76/11.04 |- ifeq (codomain a) (domain $X) % 10.76/11.04 (ifeq (codomain b) (domain g) % 10.76/11.04 (compose (compose a b) (compose (compose g a) (domain $X))) % 10.76/11.04 (compose (compose (compose a b) (compose g a)) (domain $X))) % 10.76/11.04 (compose (compose (compose a b) (compose g a)) (domain $X)) = % 10.76/11.04 compose (compose (compose a b) (compose g a)) (domain $X) % 10.76/11.04 |- ifeq (codomain a) (codomain $X) % 10.76/11.04 (ifeq (codomain a) (domain g) % 10.76/11.04 (compose (compose h a) (compose (compose g a) (codomain $X))) % 10.76/11.04 (compose (compose (compose h a) (compose g a)) (codomain $X))) % 10.76/11.04 (compose (compose (compose h a) (compose g a)) (codomain $X)) = % 10.76/11.04 compose (compose (compose h a) (compose g a)) (codomain $X) % 10.76/11.04 |- ifeq (codomain a) (codomain g) % 10.76/11.04 (ifeq (codomain a) (domain g) % 10.76/11.04 (compose (compose h a) (compose (compose g a) (compose a b))) % 10.76/11.04 (compose (compose (compose h a) (compose g a)) (compose a b))) % 10.76/11.04 (compose (compose (compose h a) (compose g a)) (compose a b)) = % 10.76/11.04 compose (compose (compose h a) (compose g a)) (compose a b) % 10.76/11.04 |- ifeq (codomain a) (domain g) % 10.76/11.04 (ifeq (codomain a) (domain g) % 10.76/11.04 (compose (compose h a) (compose (compose g a) (compose g a))) % 10.76/11.04 (compose (compose (compose h a) (compose g a)) (compose g a))) % 10.76/11.04 (compose (compose (compose h a) (compose g a)) (compose g a)) = % 10.76/11.04 compose (compose (compose h a) (compose g a)) (compose g a) % 10.76/11.04 |- ifeq (codomain a) (domain g) % 10.76/11.04 (ifeq (codomain a) (domain g) % 10.76/11.04 (compose (compose h a) % 10.76/11.04 (compose (compose g a) (compose g (compose a b)))) % 10.76/11.04 (compose (compose (compose h a) (compose g a)) % 10.76/11.04 (compose g (compose a b)))) % 10.76/11.04 (compose (compose (compose h a) (compose g a)) % 10.76/11.04 (compose g (compose a b))) = % 10.76/11.04 compose (compose (compose h a) (compose g a)) (compose g (compose a b)) % 10.76/11.04 |- ifeq (codomain a) (domain g) % 10.76/11.04 (ifeq (codomain a) (domain g) % 10.76/11.04 (compose (compose h a) (compose (compose g a) (compose h a))) % 10.76/11.04 (compose (compose (compose h a) (compose g a)) (compose h a))) % 10.76/11.04 (compose (compose (compose h a) (compose g a)) (compose h a)) = % 10.76/11.04 compose (compose (compose h a) (compose g a)) (compose h a) % 10.76/11.04 |- ifeq (codomain a) (domain $X) % 10.76/11.04 (ifeq (codomain a) (domain g) % 10.76/11.04 (compose (compose h a) (compose (compose g a) (domain $X))) % 10.76/11.04 (compose (compose (compose h a) (compose g a)) (domain $X))) % 10.76/11.04 (compose (compose (compose h a) (compose g a)) (domain $X)) = % 10.76/11.04 compose (compose (compose h a) (compose g a)) (domain $X) % 10.76/11.04 |- ifeq (codomain g) (codomain $X) % 10.76/11.04 (ifeq (codomain b) (domain g) % 10.76/11.04 (compose (compose g (compose a b)) (compose h (codomain $X))) % 10.76/11.04 (compose (compose (compose g (compose a b)) h) (codomain $X))) % 10.76/11.04 (compose (compose (compose g (compose a b)) h) (codomain $X)) = % 10.76/11.04 compose (compose (compose g (compose a b)) h) (codomain $X) % 10.76/11.04 |- ifeq (codomain g) (domain g) % 10.76/11.04 (ifeq (codomain b) (domain g) % 10.76/11.04 (compose (compose g (compose a b)) % 10.76/11.04 (compose h (compose g (compose a b)))) % 10.76/11.04 (compose (compose (compose g (compose a b)) h) % 10.76/11.04 (compose g (compose a b)))) % 10.76/11.04 (compose (compose (compose g (compose a b)) h) % 10.76/11.04 (compose g (compose a b))) = % 10.76/11.04 compose (compose (compose g (compose a b)) h) (compose g (compose a b)) % 10.76/11.04 |- ifeq (codomain g) (domain g) % 10.76/11.04 (ifeq (codomain b) (domain g) % 10.76/11.04 (compose (compose g (compose a b)) (compose h (compose h a))) % 10.76/11.04 (compose (compose (compose g (compose a b)) h) (compose h a))) % 10.76/11.04 (compose (compose (compose g (compose a b)) h) (compose h a)) = % 10.76/11.04 compose (compose (compose g (compose a b)) h) (compose h a) % 10.76/11.04 |- ifeq (codomain g) (domain $X) % 10.76/11.04 (ifeq (codomain b) (domain g) % 10.76/11.04 (compose (compose g (compose a b)) (compose h (domain $X))) % 10.76/11.04 (compose (compose (compose g (compose a b)) h) (domain $X))) % 10.76/11.04 (compose (compose (compose g (compose a b)) h) (domain $X)) = % 10.76/11.04 compose (compose (compose g (compose a b)) h) (domain $X) % 10.76/11.04 |- ifeq (codomain g) (domain g) % 10.76/11.04 (ifeq (domain (compose h (compose g (compose a b)))) (domain g) % 10.76/11.04 (compose h (compose g (compose a b))) % 10.76/11.04 (compose (compose (domain (compose h (compose g (compose a b)))) h) % 10.76/11.04 (compose g (compose a b)))) % 10.76/11.04 (compose (compose (domain (compose h (compose g (compose a b)))) h) % 10.76/11.04 (compose g (compose a b))) = % 10.76/11.04 compose (compose (domain (compose h (compose g (compose a b)))) h) % 10.76/11.04 (compose g (compose a b)) % 10.76/11.04 |- ifeq (codomain g) (domain g) % 10.76/11.04 (ifeq (codomain $_1) (domain g) % 10.76/11.04 (compose (codomain $_1) (compose h (compose g (compose a b)))) % 10.76/11.04 (compose (compose (codomain $_1) h) (compose g (compose a b)))) % 10.76/11.04 (compose (compose (codomain $_1) h) (compose g (compose a b))) = % 10.76/11.04 compose (compose (codomain $_1) h) (compose g (compose a b)) % 10.76/11.04 |- ifeq (codomain g) (domain g) % 10.76/11.04 (ifeq (codomain b) (domain g) % 10.76/11.04 (compose (compose a b) (compose h (compose g (compose a b)))) % 10.76/11.04 (compose (compose (compose a b) h) (compose g (compose a b)))) % 10.76/11.04 (compose (compose (compose a b) h) (compose g (compose a b))) = % 10.76/11.04 compose (compose (compose a b) h) (compose g (compose a b)) % 10.76/11.04 |- ifeq (codomain g) (domain g) % 10.76/11.04 (ifeq (domain $X) (domain g) % 10.76/11.04 (compose (domain $X) (compose h (compose g (compose a b)))) % 10.76/11.04 (compose (compose (domain $X) h) (compose g (compose a b)))) % 10.76/11.04 (compose (compose (domain $X) h) (compose g (compose a b))) = % 10.76/11.04 compose (compose (domain $X) h) (compose g (compose a b)) % 10.76/11.04 |- ifeq (codomain b) (codomain a) % 10.76/11.04 (ifeq (codomain $_1) (codomain g) % 10.76/11.04 (compose (codomain $_1) (compose (compose a b) b)) % 10.76/11.04 (compose (compose (codomain $_1) (compose a b)) b)) % 10.76/11.04 (compose (compose (codomain $_1) (compose a b)) b) = % 10.76/11.04 compose (compose (codomain $_1) (compose a b)) b % 10.76/11.05 |- ifeq (codomain b) (codomain a) % 10.76/11.05 (ifeq (codomain b) (codomain g) % 10.76/11.05 (compose (compose a b) (compose (compose a b) b)) % 10.76/11.05 (compose (compose (compose a b) (compose a b)) b)) % 10.76/11.05 (compose (compose (compose a b) (compose a b)) b) = % 10.76/11.05 compose (compose (compose a b) (compose a b)) b % 10.76/11.05 |- ifeq (codomain b) (codomain a) % 10.76/11.05 (ifeq (codomain b) (codomain g) % 10.76/11.05 (compose (compose g (compose a b)) (compose (compose a b) b)) % 10.76/11.05 (compose (compose (compose g (compose a b)) (compose a b)) b)) % 10.76/11.05 (compose (compose (compose g (compose a b)) (compose a b)) b) = % 10.76/11.05 compose (compose (compose g (compose a b)) (compose a b)) b % 10.76/11.05 |- ifeq (codomain b) (codomain a) % 10.76/11.05 (ifeq (codomain a) (codomain g) % 10.76/11.05 (compose (compose h a) (compose (compose a b) b)) % 10.76/11.05 (compose (compose (compose h a) (compose a b)) b)) % 10.76/11.05 (compose (compose (compose h a) (compose a b)) b) = % 10.76/11.05 compose (compose (compose h a) (compose a b)) b % 10.76/11.05 |- ifeq (codomain b) (codomain a) % 10.76/11.05 (ifeq (domain $X) (codomain g) % 10.76/11.05 (compose (domain $X) (compose (compose a b) b)) % 10.76/11.05 (compose (compose (domain $X) (compose a b)) b)) % 10.76/11.05 (compose (compose (domain $X) (compose a b)) b) = % 10.76/11.05 compose (compose (domain $X) (compose a b)) b % 10.76/11.05 |- ifeq (codomain b) (codomain a) (compose g (compose (compose a b) b)) % 10.76/11.05 (compose (compose g (compose a b)) b) = % 10.76/11.05 compose (compose g (compose a b)) b % 10.76/11.05 |- ifeq (codomain $X) (codomain a) % 10.76/11.05 (ifeq (codomain b) (codomain $X) % 10.76/11.05 (compose (compose a b) (compose (codomain $X) b)) % 10.76/11.05 (compose (compose (compose a b) (codomain $X)) b)) % 10.76/11.05 (compose (compose (compose a b) (codomain $X)) b) = % 10.76/11.05 compose (compose (compose a b) (codomain $X)) b % 10.76/11.05 |- ifeq (domain $X) (codomain a) % 10.76/11.05 (ifeq (codomain b) (domain $X) % 10.76/11.05 (compose (compose a b) (compose (domain $X) b)) % 10.76/11.05 (compose (compose (compose a b) (domain $X)) b)) % 10.76/11.05 (compose (compose (compose a b) (domain $X)) b) = % 10.76/11.05 compose (compose (compose a b) (domain $X)) b % 10.76/11.05 |- ifeq (codomain $X) (codomain a) % 10.76/11.05 (ifeq (codomain a) (codomain $X) % 10.76/11.05 (compose (compose h a) (compose (codomain $X) b)) % 10.76/11.05 (compose (compose (compose h a) (codomain $X)) b)) % 10.76/11.05 (compose (compose (compose h a) (codomain $X)) b) = % 10.76/11.05 compose (compose (compose h a) (codomain $X)) b % 10.76/11.05 |- ifeq (domain $X) (codomain a) % 10.76/11.05 (ifeq (codomain a) (domain $X) % 10.76/11.05 (compose (compose h a) (compose (domain $X) b)) % 10.76/11.05 (compose (compose (compose h a) (domain $X)) b)) % 10.76/11.05 (compose (compose (compose h a) (domain $X)) b) = % 10.76/11.05 compose (compose (compose h a) (domain $X)) b % 10.76/11.05 |- ifeq (codomain a) (codomain (compose (codomain $_1) (compose h a))) % 10.76/11.05 (ifeq (codomain $_1) (domain g) % 10.76/11.05 (compose (codomain $_1) % 10.76/11.05 (compose (compose h a) % 10.76/11.05 (codomain (compose (codomain $_1) (compose h a))))) % 10.76/11.05 (compose (codomain $_1) (compose h a))) % 10.76/11.05 (compose (codomain $_1) (compose h a)) = % 10.76/11.05 compose (codomain $_1) (compose h a) % 10.76/11.05 |- ifeq (codomain a) (codomain (compose (compose a b) (compose h a))) % 10.76/11.05 (ifeq (codomain b) (domain g) % 10.76/11.05 (compose (compose a b) % 10.76/11.05 (compose (compose h a) % 10.76/11.05 (codomain (compose (compose a b) (compose h a))))) % 10.76/11.05 (compose (compose a b) (compose h a))) % 10.76/11.05 (compose (compose a b) (compose h a)) = % 10.76/11.05 compose (compose a b) (compose h a) % 10.76/11.05 |- ifeq (codomain a) % 10.76/11.05 (codomain (compose (compose g (compose a b)) (compose h a))) % 10.76/11.05 (ifeq (codomain b) (domain g) % 10.76/11.05 (compose (compose g (compose a b)) % 10.76/11.05 (compose (compose h a) % 10.76/11.05 (codomain % 10.76/11.05 (compose (compose g (compose a b)) (compose h a))))) % 10.76/11.05 (compose (compose g (compose a b)) (compose h a))) % 10.76/11.05 (compose (compose g (compose a b)) (compose h a)) = % 10.76/11.05 compose (compose g (compose a b)) (compose h a) % 10.76/11.05 |- ifeq (codomain a) (codomain (compose (compose h a) (compose h a))) % 10.76/11.05 (ifeq (codomain a) (domain g) % 10.76/11.05 (compose (compose h a) % 10.76/11.05 (compose (compose h a) % 10.76/11.05 (codomain (compose (compose h a) (compose h a))))) % 10.76/11.05 (compose (compose h a) (compose h a))) % 10.76/11.05 (compose (compose h a) (compose h a)) = % 10.76/11.05 compose (compose h a) (compose h a) % 10.76/11.05 |- ifeq (codomain a) (codomain (compose (domain $X) (compose h a))) % 10.76/11.05 (ifeq (domain $X) (domain g) % 10.76/11.05 (compose (domain $X) % 10.76/11.05 (compose (compose h a) % 10.76/11.05 (codomain (compose (domain $X) (compose h a))))) % 10.76/11.05 (compose (domain $X) (compose h a))) % 10.76/11.05 (compose (domain $X) (compose h a)) = % 10.76/11.05 compose (domain $X) (compose h a) % 10.76/11.05 |- ifeq (codomain $X) (codomain (compose (compose h a) (codomain $X))) % 10.76/11.05 (ifeq (codomain a) (codomain $X) % 10.76/11.05 (compose (compose h a) % 10.76/11.05 (compose (codomain $X) % 10.76/11.05 (codomain (compose (compose h a) (codomain $X))))) % 10.76/11.05 (compose (compose h a) (codomain $X))) % 10.76/11.05 (compose (compose h a) (codomain $X)) = % 10.76/11.05 compose (compose h a) (codomain $X) % 10.76/11.05 |- ifeq (codomain b) % 10.76/11.05 (codomain (compose (compose h a) (compose g (compose a b)))) % 10.76/11.05 (ifeq (codomain a) (domain g) % 10.76/11.05 (compose (compose h a) % 10.76/11.05 (compose (compose g (compose a b)) % 10.76/11.05 (codomain % 10.76/11.05 (compose (compose h a) (compose g (compose a b)))))) % 10.76/11.05 (compose (compose h a) (compose g (compose a b)))) % 10.76/11.05 (compose (compose h a) (compose g (compose a b))) = % 10.76/11.05 compose (compose h a) (compose g (compose a b)) % 10.76/11.05 |- ifeq (domain $X) (codomain (compose (compose h a) (domain $X))) % 10.76/11.05 (ifeq (codomain a) (domain $X) % 10.76/11.05 (compose (compose h a) % 10.76/11.05 (compose (domain $X) % 10.76/11.05 (codomain (compose (compose h a) (domain $X))))) % 10.76/11.05 (compose (compose h a) (domain $X))) % 10.76/11.05 (compose (compose h a) (domain $X)) = % 10.76/11.05 compose (compose h a) (domain $X) % 10.76/11.05 |- ifeq (codomain $X) (domain g) % 10.76/11.05 (ifeq (codomain a) (codomain $X) % 10.76/11.05 (compose (compose h a) (compose (codomain $X) h)) % 10.76/11.05 (compose (compose (compose h a) (codomain $X)) h)) % 10.76/11.05 (compose (compose (compose h a) (codomain $X)) h) = % 10.76/11.05 compose (compose (compose h a) (codomain $X)) h % 10.76/11.05 |- ifeq (codomain b) (domain g) % 10.76/11.05 (ifeq (codomain a) (domain g) % 10.76/11.05 (compose (compose h a) (compose (compose g (compose a b)) h)) % 10.76/11.05 (compose (compose (compose h a) (compose g (compose a b))) h)) % 10.76/11.05 (compose (compose (compose h a) (compose g (compose a b))) h) = % 10.76/11.05 compose (compose (compose h a) (compose g (compose a b))) h % 10.76/11.05 |- ifeq (domain $X) (domain g) % 10.76/11.05 (ifeq (codomain a) (domain $X) % 10.76/11.05 (compose (compose h a) (compose (domain $X) h)) % 10.76/11.05 (compose (compose (compose h a) (domain $X)) h)) % 10.76/11.05 (compose (compose (compose h a) (domain $X)) h) = % 10.76/11.05 compose (compose (compose h a) (domain $X)) h % 10.76/11.05 |- ifeq (codomain a) (codomain $X) % 10.76/11.05 (ifeq (codomain b) (codomain g) % 10.76/11.05 (compose (compose g (compose a b)) (compose a (codomain $X))) % 10.76/11.05 (compose (compose (compose g (compose a b)) a) (codomain $X))) % 10.76/11.05 (compose (compose (compose g (compose a b)) a) (codomain $X)) = % 10.76/11.05 compose (compose (compose g (compose a b)) a) (codomain $X) % 10.76/11.05 |- ifeq (codomain a) (domain g) % 10.76/11.05 (ifeq (codomain b) (codomain g) % 10.76/11.05 (compose (compose g (compose a b)) % 10.76/11.05 (compose a (compose g (compose a b)))) % 10.76/11.05 (compose (compose (compose g (compose a b)) a) % 10.76/11.05 (compose g (compose a b)))) % 10.76/11.05 (compose (compose (compose g (compose a b)) a) % 10.76/11.05 (compose g (compose a b))) = % 10.76/11.05 compose (compose (compose g (compose a b)) a) (compose g (compose a b)) % 10.76/11.05 |- ifeq (codomain a) (domain g) % 10.76/11.05 (ifeq (codomain b) (codomain g) % 10.76/11.05 (compose (compose g (compose a b)) (compose a (compose h a))) % 10.76/11.05 (compose (compose (compose g (compose a b)) a) (compose h a))) % 10.76/11.05 (compose (compose (compose g (compose a b)) a) (compose h a)) = % 10.76/11.05 compose (compose (compose g (compose a b)) a) (compose h a) % 10.76/11.05 |- ifeq (codomain a) (domain $X) % 10.76/11.05 (ifeq (codomain b) (codomain g) % 10.76/11.05 (compose (compose g (compose a b)) (compose a (domain $X))) % 10.76/11.05 (compose (compose (compose g (compose a b)) a) (domain $X))) % 10.76/11.05 (compose (compose (compose g (compose a b)) a) (domain $X)) = % 10.76/11.05 compose (compose (compose g (compose a b)) a) (domain $X) % 10.76/11.05 |- ifeq (codomain $X) (domain g) % 10.76/11.05 (ifeq (domain (compose (codomain $X) h)) (codomain $X) % 10.76/11.05 (compose (codomain $X) h) % 10.76/11.05 (compose (compose (domain (compose (codomain $X) h)) (codomain $X)) % 10.76/11.05 h)) % 10.76/11.05 (compose (compose (domain (compose (codomain $X) h)) (codomain $X)) % 10.76/11.05 h) = % 10.76/11.05 compose (compose (domain (compose (codomain $X) h)) (codomain $X)) h % 10.76/11.05 |- ifeq (codomain b) (domain g) % 10.76/11.05 (ifeq (domain (compose (compose g (compose a b)) h)) (domain g) % 10.76/11.05 (compose (compose g (compose a b)) h) % 10.76/11.05 (compose % 10.76/11.05 (compose (domain (compose (compose g (compose a b)) h)) % 10.76/11.05 (compose g (compose a b))) h)) % 10.76/11.05 (compose % 10.76/11.05 (compose (domain (compose (compose g (compose a b)) h)) % 10.76/11.05 (compose g (compose a b))) h) = % 10.76/11.05 compose % 10.76/11.05 (compose (domain (compose (compose g (compose a b)) h)) % 10.76/11.05 (compose g (compose a b))) h % 10.76/11.05 |- ifeq (domain $X) (domain g) % 10.76/11.05 (ifeq (domain (compose (domain $X) h)) (domain $X) % 10.76/11.05 (compose (domain $X) h) % 10.76/11.05 (compose (compose (domain (compose (domain $X) h)) (domain $X)) h)) % 10.76/11.05 (compose (compose (domain (compose (domain $X) h)) (domain $X)) h) = % 10.76/11.05 compose (compose (domain (compose (domain $X) h)) (domain $X)) h % 10.76/11.05 |- ifeq (codomain a) (domain g) % 10.76/11.05 (ifeq (codomain $_1) (codomain g) % 10.76/11.05 (compose (codomain $_1) (compose a (compose h a))) % 10.76/11.05 (compose (compose (codomain $_1) a) (compose h a))) % 10.76/11.05 (compose (compose (codomain $_1) a) (compose h a)) = % 10.76/11.05 compose (compose (codomain $_1) a) (compose h a) % 10.76/11.05 |- ifeq (codomain a) (domain g) % 10.76/11.05 (ifeq (domain $X) (codomain g) % 10.76/11.05 (compose (domain $X) (compose a (compose h a))) % 10.76/11.05 (compose (compose (domain $X) a) (compose h a))) % 10.76/11.05 (compose (compose (domain $X) a) (compose h a)) = % 10.76/11.05 compose (compose (domain $X) a) (compose h a) % 10.76/11.05 |- ifeq (codomain g) (codomain $X) % 10.76/11.05 (ifeq (domain (compose h (codomain $X))) (domain g) % 10.76/11.05 (compose h (codomain $X)) % 10.76/11.05 (compose (compose (domain (compose h (codomain $X))) h) % 10.76/11.05 (codomain $X))) % 10.76/11.05 (compose (compose (domain (compose h (codomain $X))) h) % 10.76/11.05 (codomain $X)) = % 10.76/11.05 compose (compose (domain (compose h (codomain $X))) h) (codomain $X) % 10.76/11.05 |- ifeq (codomain g) (domain g) % 10.76/11.05 (ifeq (domain (compose h (compose h a))) (domain g) % 10.76/11.05 (compose h (compose h a)) % 10.76/11.05 (compose (compose (domain (compose h (compose h a))) h) % 10.76/11.05 (compose h a))) % 10.76/11.05 (compose (compose (domain (compose h (compose h a))) h) % 10.76/11.05 (compose h a)) = % 10.76/11.05 compose (compose (domain (compose h (compose h a))) h) (compose h a) % 10.76/11.06 |- ifeq (codomain g) (domain $X) % 10.76/11.06 (ifeq (domain (compose h (domain $X))) (domain g) % 10.76/11.06 (compose h (domain $X)) % 10.76/11.06 (compose (compose (domain (compose h (domain $X))) h) (domain $X))) % 10.76/11.06 (compose (compose (domain (compose h (domain $X))) h) (domain $X)) = % 10.76/11.06 compose (compose (domain (compose h (domain $X))) h) (domain $X) % 10.76/11.06 |- ifeq (codomain $X) (domain g) % 10.76/11.06 (ifeq (codomain g) (codomain $X) % 10.76/11.06 (compose h (compose (codomain $X) (compose h a))) % 10.76/11.06 (compose (compose h (codomain $X)) (compose h a))) % 10.76/11.06 (compose (compose h (codomain $X)) (compose h a)) = % 10.76/11.06 compose (compose h (codomain $X)) (compose h a) % 10.76/11.06 |- ifeq (codomain b) (domain g) % 10.76/11.06 (ifeq (codomain g) (domain g) % 10.76/11.06 (compose h (compose (compose g (compose a b)) (compose h a))) % 10.76/11.06 (compose (compose h (compose g (compose a b))) (compose h a))) % 10.76/11.06 (compose (compose h (compose g (compose a b))) (compose h a)) = % 10.76/11.06 compose (compose h (compose g (compose a b))) (compose h a) % 10.76/11.06 |- ifeq (codomain a) (domain g) % 10.76/11.06 (ifeq (codomain g) (domain g) % 10.76/11.06 (compose h (compose (compose h a) (compose h a))) % 10.76/11.06 (compose (compose h (compose h a)) (compose h a))) % 10.76/11.06 (compose (compose h (compose h a)) (compose h a)) = % 10.76/11.06 compose (compose h (compose h a)) (compose h a) % 10.76/11.06 |- ifeq (domain $X) (domain g) % 10.76/11.06 (ifeq (codomain g) (domain $X) % 10.76/11.06 (compose h (compose (domain $X) (compose h a))) % 10.76/11.06 (compose (compose h (domain $X)) (compose h a))) % 10.76/11.06 (compose (compose h (domain $X)) (compose h a)) = % 10.76/11.06 compose (compose h (domain $X)) (compose h a) % 10.76/11.06 |- ifeq (codomain $_1090) (domain $_1092) % 10.76/11.06 (ifeq (domain (compose (codomain $_1090) $_1092)) (codomain $_1090) % 10.76/11.06 (compose (codomain $_1090) $_1092) % 10.76/11.06 (compose % 10.76/11.06 (compose (domain (compose (codomain $_1090) $_1092)) % 10.76/11.06 (codomain $_1090)) $_1092)) % 10.76/11.06 (compose % 10.76/11.06 (compose (domain (compose (codomain $_1090) $_1092)) % 10.76/11.06 (codomain $_1090)) $_1092) = % 10.76/11.06 compose % 10.76/11.06 (compose (domain (compose (codomain $_1090) $_1092)) % 10.76/11.06 (codomain $_1090)) $_1092 % 10.76/11.06 |- ifeq (codomain $_1090) (domain $_1092) % 10.76/11.06 (ifeq (codomain $_1) (codomain $_1090) % 10.76/11.06 (compose (codomain $_1) (compose (codomain $_1090) $_1092)) % 10.76/11.06 (compose (compose (codomain $_1) (codomain $_1090)) $_1092)) % 10.76/11.06 (compose (compose (codomain $_1) (codomain $_1090)) $_1092) = % 10.76/11.06 compose (compose (codomain $_1) (codomain $_1090)) $_1092 % 10.76/11.06 |- ifeq (codomain $_1090) (domain $_1092) % 10.76/11.06 (ifeq (codomain b) (codomain $_1090) % 10.76/11.06 (compose (compose g (compose a b)) % 10.76/11.06 (compose (codomain $_1090) $_1092)) % 10.76/11.06 (compose (compose (compose g (compose a b)) (codomain $_1090)) % 10.76/11.06 $_1092)) % 10.76/11.06 (compose (compose (compose g (compose a b)) (codomain $_1090)) % 10.76/11.06 $_1092) = % 10.76/11.06 compose (compose (compose g (compose a b)) (codomain $_1090)) $_1092 % 10.76/11.06 |- ifeq (codomain $_1090) (domain $_1092) % 10.76/11.06 (ifeq (domain $X) (codomain $_1090) % 10.76/11.06 (compose (domain $X) (compose (codomain $_1090) $_1092)) % 10.76/11.06 (compose (compose (domain $X) (codomain $_1090)) $_1092)) % 10.76/11.06 (compose (compose (domain $X) (codomain $_1090)) $_1092) = % 10.76/11.06 compose (compose (domain $X) (codomain $_1090)) $_1092 % 10.76/11.06 |- ifeq (codomain $_1090) (codomain $X) % 10.76/11.06 (ifeq (codomain $_1091) (codomain $_1090) % 10.76/11.06 (compose $_1091 (compose (codomain $_1090) (codomain $X))) % 10.76/11.06 (compose (compose $_1091 (codomain $_1090)) (codomain $X))) % 10.76/11.06 (compose (compose $_1091 (codomain $_1090)) (codomain $X)) = % 10.76/11.06 compose (compose $_1091 (codomain $_1090)) (codomain $X) % 10.76/11.06 |- ifeq (codomain $_1090) (codomain g) % 10.76/11.06 (ifeq (codomain $_1091) (codomain $_1090) % 10.76/11.06 (compose $_1091 (compose (codomain $_1090) (compose a b))) % 10.76/11.06 (compose (compose $_1091 (codomain $_1090)) (compose a b))) % 10.76/11.06 (compose (compose $_1091 (codomain $_1090)) (compose a b)) = % 10.76/11.06 compose (compose $_1091 (codomain $_1090)) (compose a b) % 10.76/11.06 |- ifeq (codomain $_1090) (domain g) % 10.76/11.06 (ifeq (codomain $_1091) (codomain $_1090) % 10.76/11.06 (compose $_1091 (compose (codomain $_1090) (compose g a))) % 10.76/11.06 (compose (compose $_1091 (codomain $_1090)) (compose g a))) % 10.76/11.06 (compose (compose $_1091 (codomain $_1090)) (compose g a)) = % 10.76/11.06 compose (compose $_1091 (codomain $_1090)) (compose g a) % 10.76/11.06 |- ifeq (codomain $_1090) (domain g) % 10.76/11.06 (ifeq (codomain $_1091) (codomain $_1090) % 10.76/11.06 (compose $_1091 % 10.76/11.06 (compose (codomain $_1090) (compose g (compose a b)))) % 10.76/11.06 (compose (compose $_1091 (codomain $_1090)) % 10.76/11.06 (compose g (compose a b)))) % 10.76/11.06 (compose (compose $_1091 (codomain $_1090)) % 10.76/11.06 (compose g (compose a b))) = % 10.76/11.06 compose (compose $_1091 (codomain $_1090)) (compose g (compose a b)) % 10.76/11.06 |- ifeq (codomain $_1090) (domain g) % 10.76/11.06 (ifeq (codomain $_1091) (codomain $_1090) % 10.76/11.06 (compose $_1091 (compose (codomain $_1090) (compose h a))) % 10.76/11.06 (compose (compose $_1091 (codomain $_1090)) (compose h a))) % 10.76/11.06 (compose (compose $_1091 (codomain $_1090)) (compose h a)) = % 10.76/11.06 compose (compose $_1091 (codomain $_1090)) (compose h a) % 10.76/11.06 |- ifeq (codomain $_1090) (domain $X) % 10.76/11.06 (ifeq (codomain $_1091) (codomain $_1090) % 10.76/11.06 (compose $_1091 (compose (codomain $_1090) (domain $X))) % 10.76/11.06 (compose (compose $_1091 (codomain $_1090)) (domain $X))) % 10.76/11.06 (compose (compose $_1091 (codomain $_1090)) (domain $X)) = % 10.76/11.06 compose (compose $_1091 (codomain $_1090)) (domain $X) % 10.76/11.06 |- ifeq (domain $_1093) (domain $_1095) % 10.76/11.06 (ifeq (domain (compose (domain $_1093) $_1095)) (domain $_1093) % 10.76/11.06 (compose (domain $_1093) $_1095) % 10.76/11.06 (compose % 10.76/11.06 (compose (domain (compose (domain $_1093) $_1095)) % 10.76/11.06 (domain $_1093)) $_1095)) % 10.76/11.06 (compose % 10.76/11.06 (compose (domain (compose (domain $_1093) $_1095)) (domain $_1093)) % 10.76/11.06 $_1095) = % 10.76/11.06 compose % 10.76/11.06 (compose (domain (compose (domain $_1093) $_1095)) (domain $_1093)) % 10.76/11.06 $_1095 % 10.76/11.06 |- ifeq (domain $_1093) (domain $_1095) % 10.76/11.06 (ifeq (codomain $_1) (domain $_1093) % 10.76/11.06 (compose (codomain $_1) (compose (domain $_1093) $_1095)) % 10.76/11.06 (compose (compose (codomain $_1) (domain $_1093)) $_1095)) % 10.76/11.06 (compose (compose (codomain $_1) (domain $_1093)) $_1095) = % 10.76/11.06 compose (compose (codomain $_1) (domain $_1093)) $_1095 % 10.76/11.06 |- ifeq (domain $_1093) (domain $_1095) % 10.76/11.06 (ifeq (codomain b) (domain $_1093) % 10.76/11.06 (compose (compose g (compose a b)) % 10.76/11.06 (compose (domain $_1093) $_1095)) % 10.76/11.06 (compose (compose (compose g (compose a b)) (domain $_1093)) % 10.76/11.06 $_1095)) % 10.76/11.06 (compose (compose (compose g (compose a b)) (domain $_1093)) $_1095) = % 10.76/11.06 compose (compose (compose g (compose a b)) (domain $_1093)) $_1095 % 10.76/11.06 |- ifeq (domain $_1093) (domain $_1095) % 10.76/11.06 (ifeq (domain $X) (domain $_1093) % 10.76/11.06 (compose (domain $X) (compose (domain $_1093) $_1095)) % 10.76/11.06 (compose (compose (domain $X) (domain $_1093)) $_1095)) % 10.76/11.06 (compose (compose (domain $X) (domain $_1093)) $_1095) = % 10.76/11.06 compose (compose (domain $X) (domain $_1093)) $_1095 % 10.76/11.06 |- ifeq (domain $_1093) (codomain $X) % 10.76/11.06 (ifeq (codomain $_1094) (domain $_1093) % 10.76/11.06 (compose $_1094 (compose (domain $_1093) (codomain $X))) % 10.76/11.06 (compose (compose $_1094 (domain $_1093)) (codomain $X))) % 10.76/11.06 (compose (compose $_1094 (domain $_1093)) (codomain $X)) = % 10.76/11.06 compose (compose $_1094 (domain $_1093)) (codomain $X) % 10.76/11.06 |- ifeq (domain $_1093) (codomain g) % 10.76/11.06 (ifeq (codomain $_1094) (domain $_1093) % 10.76/11.06 (compose $_1094 (compose (domain $_1093) (compose a b))) % 10.76/11.06 (compose (compose $_1094 (domain $_1093)) (compose a b))) % 10.76/11.06 (compose (compose $_1094 (domain $_1093)) (compose a b)) = % 10.76/11.06 compose (compose $_1094 (domain $_1093)) (compose a b) % 10.76/11.06 |- ifeq (domain $_1093) (domain g) % 10.76/11.06 (ifeq (codomain $_1094) (domain $_1093) % 10.76/11.06 (compose $_1094 (compose (domain $_1093) (compose g a))) % 10.76/11.06 (compose (compose $_1094 (domain $_1093)) (compose g a))) % 10.76/11.06 (compose (compose $_1094 (domain $_1093)) (compose g a)) = % 10.76/11.06 compose (compose $_1094 (domain $_1093)) (compose g a) % 10.76/11.06 |- ifeq (domain $_1093) (domain g) % 10.76/11.06 (ifeq (codomain $_1094) (domain $_1093) % 10.76/11.06 (compose $_1094 % 10.76/11.06 (compose (domain $_1093) (compose g (compose a b)))) % 10.76/11.06 (compose (compose $_1094 (domain $_1093)) % 10.76/11.06 (compose g (compose a b)))) % 10.76/11.06 (compose (compose $_1094 (domain $_1093)) (compose g (compose a b))) = % 10.76/11.06 compose (compose $_1094 (domain $_1093)) (compose g (compose a b)) % 10.76/11.06 |- ifeq (domain $_1093) (domain g) % 10.76/11.06 (ifeq (codomain $_1094) (domain $_1093) % 10.76/11.06 (compose $_1094 (compose (domain $_1093) (compose h a))) % 10.76/11.06 (compose (compose $_1094 (domain $_1093)) (compose h a))) % 10.76/11.06 (compose (compose $_1094 (domain $_1093)) (compose h a)) = % 10.76/11.06 compose (compose $_1094 (domain $_1093)) (compose h a) % 10.76/11.06 |- ifeq (domain $_1093) (domain $X) % 10.76/11.06 (ifeq (codomain $_1094) (domain $_1093) % 10.76/11.06 (compose $_1094 (compose (domain $_1093) (domain $X))) % 10.76/11.06 (compose (compose $_1094 (domain $_1093)) (domain $X))) % 10.76/11.06 (compose (compose $_1094 (domain $_1093)) (domain $X)) = % 10.76/11.06 compose (compose $_1094 (domain $_1093)) (domain $X) % 10.76/11.06 |- ifeq (codomain $_1096) (domain g) % 10.76/11.06 (compose (codomain $_1096) (compose g (compose a b))) % 10.76/11.06 (compose (compose (codomain $_1096) (compose g a)) b) = % 10.76/11.06 compose (compose (codomain $_1096) (compose g a)) b % 10.76/11.06 |- ifeq (codomain b) (domain $_1098) % 10.76/11.06 (ifeq (codomain $_1096) (codomain g) % 10.76/11.06 (compose (codomain $_1096) (compose (compose a b) $_1098)) % 10.76/11.06 (compose (compose (codomain $_1096) (compose a b)) $_1098)) % 10.76/11.06 (compose (compose (codomain $_1096) (compose a b)) $_1098) = % 10.76/11.06 compose (compose (codomain $_1096) (compose a b)) $_1098 % 10.76/11.06 |- ifeq (codomain a) (domain $_1098) % 10.76/11.06 (ifeq (codomain $_1096) (domain g) % 10.76/11.06 (compose (codomain $_1096) (compose (compose g a) $_1098)) % 10.76/11.06 (compose (compose (codomain $_1096) (compose g a)) $_1098)) % 10.76/11.06 (compose (compose (codomain $_1096) (compose g a)) $_1098) = % 10.76/11.06 compose (compose (codomain $_1096) (compose g a)) $_1098 % 10.76/11.06 |- ifeq (codomain b) (domain $_1098) % 10.76/11.06 (ifeq (codomain $_1096) (domain g) % 10.76/11.06 (compose (codomain $_1096) % 10.76/11.06 (compose (compose g (compose a b)) $_1098)) % 10.76/11.06 (compose (compose (codomain $_1096) (compose g (compose a b))) % 10.76/11.06 $_1098)) % 10.76/11.06 (compose (compose (codomain $_1096) (compose g (compose a b))) % 10.76/11.06 $_1098) = % 10.76/11.06 compose (compose (codomain $_1096) (compose g (compose a b))) $_1098 % 10.76/11.06 |- ifeq (codomain a) (domain $_1098) % 10.76/11.06 (ifeq (codomain $_1096) (domain g) % 10.76/11.06 (compose (codomain $_1096) (compose (compose h a) $_1098)) % 10.76/11.06 (compose (compose (codomain $_1096) (compose h a)) $_1098)) % 10.76/11.06 (compose (compose (codomain $_1096) (compose h a)) $_1098) = % 10.76/11.06 compose (compose (codomain $_1096) (compose h a)) $_1098 % 10.76/11.06 |- ifeq (codomain $_1097) (codomain $X) % 10.76/11.06 (ifeq (codomain $_1096) (domain $_1097) % 10.76/11.06 (compose (codomain $_1096) (compose $_1097 (codomain $X))) % 10.76/11.06 (compose (compose (codomain $_1096) $_1097) (codomain $X))) % 10.76/11.06 (compose (compose (codomain $_1096) $_1097) (codomain $X)) = % 10.76/11.06 compose (compose (codomain $_1096) $_1097) (codomain $X) % 10.76/11.06 |- ifeq (codomain $_1097) (codomain g) % 10.76/11.06 (ifeq (codomain $_1096) (domain $_1097) % 10.76/11.06 (compose (codomain $_1096) (compose $_1097 (compose a b))) % 10.76/11.06 (compose (compose (codomain $_1096) $_1097) (compose a b))) % 10.76/11.06 (compose (compose (codomain $_1096) $_1097) (compose a b)) = % 10.76/11.06 compose (compose (codomain $_1096) $_1097) (compose a b) % 10.76/11.06 |- ifeq (codomain $_1097) (domain g) % 10.76/11.06 (ifeq (codomain $_1096) (domain $_1097) % 10.76/11.06 (compose (codomain $_1096) (compose $_1097 (compose g a))) % 10.76/11.06 (compose (compose (codomain $_1096) $_1097) (compose g a))) % 10.76/11.06 (compose (compose (codomain $_1096) $_1097) (compose g a)) = % 10.76/11.06 compose (compose (codomain $_1096) $_1097) (compose g a) % 10.76/11.06 |- ifeq (codomain $_1097) (domain g) % 10.76/11.06 (ifeq (codomain $_1096) (domain $_1097) % 10.76/11.06 (compose (codomain $_1096) % 10.76/11.06 (compose $_1097 (compose g (compose a b)))) % 10.76/11.06 (compose (compose (codomain $_1096) $_1097) % 10.76/11.06 (compose g (compose a b)))) % 10.76/11.06 (compose (compose (codomain $_1096) $_1097) % 10.76/11.06 (compose g (compose a b))) = % 10.76/11.06 compose (compose (codomain $_1096) $_1097) (compose g (compose a b)) % 10.76/11.06 |- ifeq (codomain $_1097) (domain g) % 10.76/11.06 (ifeq (codomain $_1096) (domain $_1097) % 10.76/11.06 (compose (codomain $_1096) (compose $_1097 (compose h a))) % 10.76/11.06 (compose (compose (codomain $_1096) $_1097) (compose h a))) % 10.76/11.06 (compose (compose (codomain $_1096) $_1097) (compose h a)) = % 10.76/11.06 compose (compose (codomain $_1096) $_1097) (compose h a) % 10.76/11.06 |- ifeq (codomain $_1097) (domain $X) % 10.76/11.06 (ifeq (codomain $_1096) (domain $_1097) % 10.76/11.06 (compose (codomain $_1096) (compose $_1097 (domain $X))) % 10.76/11.06 (compose (compose (codomain $_1096) $_1097) (domain $X))) % 10.76/11.06 (compose (compose (codomain $_1096) $_1097) (domain $X)) = % 10.76/11.06 compose (compose (codomain $_1096) $_1097) (domain $X) % 10.76/11.06 |- ifeq (domain $X) (domain g) % 10.76/11.06 (compose (domain $X) (compose g (compose a b))) % 10.76/11.06 (compose (compose (domain $X) (compose g a)) b) = % 10.76/11.06 compose (compose (domain $X) (compose g a)) b % 10.76/11.06 |- ifeq (codomain b) (domain $_1103) % 10.76/11.06 (ifeq (domain $_1101) (codomain g) % 10.76/11.06 (compose (domain $_1101) (compose (compose a b) $_1103)) % 10.76/11.06 (compose (compose (domain $_1101) (compose a b)) $_1103)) % 10.76/11.06 (compose (compose (domain $_1101) (compose a b)) $_1103) = % 10.76/11.06 compose (compose (domain $_1101) (compose a b)) $_1103 % 10.76/11.06 |- ifeq (codomain a) (domain $_1103) % 10.76/11.06 (ifeq (domain $_1101) (domain g) % 10.76/11.06 (compose (domain $_1101) (compose (compose g a) $_1103)) % 10.76/11.06 (compose (compose (domain $_1101) (compose g a)) $_1103)) % 10.76/11.06 (compose (compose (domain $_1101) (compose g a)) $_1103) = % 10.76/11.06 compose (compose (domain $_1101) (compose g a)) $_1103 % 10.76/11.06 |- ifeq (codomain b) (domain $_1103) % 10.76/11.06 (ifeq (domain $_1101) (domain g) % 10.76/11.06 (compose (domain $_1101) % 10.76/11.06 (compose (compose g (compose a b)) $_1103)) % 10.76/11.06 (compose (compose (domain $_1101) (compose g (compose a b))) % 10.76/11.06 $_1103)) % 10.76/11.06 (compose (compose (domain $_1101) (compose g (compose a b))) $_1103) = % 10.76/11.06 compose (compose (domain $_1101) (compose g (compose a b))) $_1103 % 10.76/11.06 |- ifeq (codomain a) (domain $_1103) % 10.76/11.06 (ifeq (domain $_1101) (domain g) % 10.76/11.06 (compose (domain $_1101) (compose (compose h a) $_1103)) % 10.76/11.06 (compose (compose (domain $_1101) (compose h a)) $_1103)) % 10.76/11.06 (compose (compose (domain $_1101) (compose h a)) $_1103) = % 10.76/11.06 compose (compose (domain $_1101) (compose h a)) $_1103 % 10.76/11.06 |- ifeq (codomain $_1102) (codomain $X) % 10.76/11.06 (ifeq (domain $_1101) (domain $_1102) % 10.76/11.06 (compose (domain $_1101) (compose $_1102 (codomain $X))) % 10.76/11.06 (compose (compose (domain $_1101) $_1102) (codomain $X))) % 10.76/11.06 (compose (compose (domain $_1101) $_1102) (codomain $X)) = % 10.76/11.06 compose (compose (domain $_1101) $_1102) (codomain $X) % 10.76/11.06 |- ifeq (codomain $_1102) (codomain g) % 10.76/11.06 (ifeq (domain $_1101) (domain $_1102) % 10.76/11.06 (compose (domain $_1101) (compose $_1102 (compose a b))) % 10.76/11.06 (compose (compose (domain $_1101) $_1102) (compose a b))) % 10.76/11.06 (compose (compose (domain $_1101) $_1102) (compose a b)) = % 10.76/11.06 compose (compose (domain $_1101) $_1102) (compose a b) % 10.76/11.06 |- ifeq (codomain $_1102) (domain g) % 10.76/11.06 (ifeq (domain $_1101) (domain $_1102) % 10.76/11.06 (compose (domain $_1101) (compose $_1102 (compose g a))) % 10.76/11.06 (compose (compose (domain $_1101) $_1102) (compose g a))) % 10.76/11.06 (compose (compose (domain $_1101) $_1102) (compose g a)) = % 10.76/11.06 compose (compose (domain $_1101) $_1102) (compose g a) % 10.76/11.06 |- ifeq (codomain $_1102) (domain g) % 10.76/11.06 (ifeq (domain $_1101) (domain $_1102) % 10.76/11.06 (compose (domain $_1101) % 10.76/11.06 (compose $_1102 (compose g (compose a b)))) % 10.76/11.06 (compose (compose (domain $_1101) $_1102) % 10.76/11.06 (compose g (compose a b)))) % 10.76/11.06 (compose (compose (domain $_1101) $_1102) (compose g (compose a b))) = % 10.76/11.06 compose (compose (domain $_1101) $_1102) (compose g (compose a b)) % 10.76/11.07 |- ifeq (codomain $_1102) (domain g) % 10.76/11.07 (ifeq (domain $_1101) (domain $_1102) % 10.76/11.07 (compose (domain $_1101) (compose $_1102 (compose h a))) % 10.76/11.07 (compose (compose (domain $_1101) $_1102) (compose h a))) % 10.76/11.07 (compose (compose (domain $_1101) $_1102) (compose h a)) = % 10.76/11.07 compose (compose (domain $_1101) $_1102) (compose h a) % 10.76/11.07 |- ifeq (codomain $_1102) (domain $X) % 10.76/11.07 (ifeq (domain $_1101) (domain $_1102) % 10.76/11.07 (compose (domain $_1101) (compose $_1102 (domain $X))) % 10.76/11.07 (compose (compose (domain $_1101) $_1102) (domain $X))) % 10.76/11.07 (compose (compose (domain $_1101) $_1102) (domain $X)) = % 10.76/11.07 compose (compose (domain $_1101) $_1102) (domain $X) % 10.76/11.07 |- ifeq (codomain $_1106) (codomain $_1104) % 10.76/11.07 (ifeq (domain (compose $_1106 (codomain $_1104))) (domain $_1106) % 10.76/11.07 (compose $_1106 (codomain $_1104)) % 10.76/11.07 (compose % 10.76/11.07 (compose (domain (compose $_1106 (codomain $_1104))) $_1106) % 10.76/11.07 (codomain $_1104))) % 10.76/11.07 (compose (compose (domain (compose $_1106 (codomain $_1104))) $_1106) % 10.76/11.07 (codomain $_1104)) = % 10.76/11.07 compose (compose (domain (compose $_1106 (codomain $_1104))) $_1106) % 10.76/11.07 (codomain $_1104) % 10.76/11.07 |- ifeq (codomain b) (codomain $_1104) % 10.76/11.07 (ifeq (codomain $_1105) (codomain g) % 10.76/11.07 (compose $_1105 (compose (compose a b) (codomain $_1104))) % 10.76/11.07 (compose (compose $_1105 (compose a b)) (codomain $_1104))) % 10.76/11.07 (compose (compose $_1105 (compose a b)) (codomain $_1104)) = % 10.76/11.07 compose (compose $_1105 (compose a b)) (codomain $_1104) % 10.76/11.07 |- ifeq (codomain a) (codomain $_1104) % 10.76/11.07 (ifeq (codomain $_1105) (domain g) % 10.76/11.07 (compose $_1105 (compose (compose g a) (codomain $_1104))) % 10.76/11.07 (compose (compose $_1105 (compose g a)) (codomain $_1104))) % 10.76/11.07 (compose (compose $_1105 (compose g a)) (codomain $_1104)) = % 10.76/11.07 compose (compose $_1105 (compose g a)) (codomain $_1104) % 10.76/11.07 |- ifeq (codomain b) (codomain $_1104) % 10.76/11.07 (ifeq (codomain $_1105) (domain g) % 10.76/11.07 (compose $_1105 % 10.76/11.07 (compose (compose g (compose a b)) (codomain $_1104))) % 10.76/11.07 (compose (compose $_1105 (compose g (compose a b))) % 10.76/11.07 (codomain $_1104))) % 10.76/11.07 (compose (compose $_1105 (compose g (compose a b))) % 10.76/11.07 (codomain $_1104)) = % 10.76/11.07 compose (compose $_1105 (compose g (compose a b))) (codomain $_1104) % 10.76/11.07 |- ifeq (codomain a) (codomain $_1104) % 10.76/11.07 (ifeq (codomain $_1105) (domain g) % 10.76/11.07 (compose $_1105 (compose (compose h a) (codomain $_1104))) % 10.76/11.07 (compose (compose $_1105 (compose h a)) (codomain $_1104))) % 10.76/11.07 (compose (compose $_1105 (compose h a)) (codomain $_1104)) = % 10.76/11.07 compose (compose $_1105 (compose h a)) (codomain $_1104) % 10.76/11.07 |- ifeq (codomain $_1106) (codomain $_1104) % 10.76/11.07 (ifeq (codomain b) (domain $_1106) % 10.76/11.07 (compose (compose g (compose a b)) % 10.76/11.07 (compose $_1106 (codomain $_1104))) % 10.76/11.07 (compose (compose (compose g (compose a b)) $_1106) % 10.76/11.07 (codomain $_1104))) % 10.76/11.07 (compose (compose (compose g (compose a b)) $_1106) % 10.76/11.07 (codomain $_1104)) = % 10.76/11.07 compose (compose (compose g (compose a b)) $_1106) (codomain $_1104) % 10.76/11.07 |- ifeq (codomain $_1109) (domain $_1107) % 10.76/11.07 (ifeq (domain (compose $_1109 (domain $_1107))) (domain $_1109) % 10.76/11.07 (compose $_1109 (domain $_1107)) % 10.76/11.07 (compose (compose (domain (compose $_1109 (domain $_1107))) $_1109) % 10.76/11.07 (domain $_1107))) % 10.76/11.07 (compose (compose (domain (compose $_1109 (domain $_1107))) $_1109) % 10.76/11.07 (domain $_1107)) = % 10.76/11.07 compose (compose (domain (compose $_1109 (domain $_1107))) $_1109) % 10.76/11.07 (domain $_1107) % 10.76/11.07 |- ifeq (codomain b) (domain $_1107) % 10.76/11.07 (ifeq (codomain $_1108) (codomain g) % 10.76/11.07 (compose $_1108 (compose (compose a b) (domain $_1107))) % 10.76/11.07 (compose (compose $_1108 (compose a b)) (domain $_1107))) % 10.76/11.07 (compose (compose $_1108 (compose a b)) (domain $_1107)) = % 10.76/11.07 compose (compose $_1108 (compose a b)) (domain $_1107) % 10.76/11.07 |- ifeq (codomain a) (domain $_1107) % 10.76/11.07 (ifeq (codomain $_1108) (domain g) % 10.76/11.07 (compose $_1108 (compose (compose g a) (domain $_1107))) % 10.76/11.07 (compose (compose $_1108 (compose g a)) (domain $_1107))) % 10.76/11.07 (compose (compose $_1108 (compose g a)) (domain $_1107)) = % 10.76/11.07 compose (compose $_1108 (compose g a)) (domain $_1107) % 10.76/11.07 |- ifeq (codomain b) (domain $_1107) % 10.76/11.07 (ifeq (codomain $_1108) (domain g) % 10.76/11.07 (compose $_1108 % 10.76/11.07 (compose (compose g (compose a b)) (domain $_1107))) % 10.76/11.07 (compose (compose $_1108 (compose g (compose a b))) % 10.76/11.07 (domain $_1107))) % 10.76/11.07 (compose (compose $_1108 (compose g (compose a b))) (domain $_1107)) = % 10.76/11.07 compose (compose $_1108 (compose g (compose a b))) (domain $_1107) % 10.76/11.07 |- ifeq (codomain a) (domain $_1107) % 10.76/11.07 (ifeq (codomain $_1108) (domain g) % 10.76/11.07 (compose $_1108 (compose (compose h a) (domain $_1107))) % 10.76/11.07 (compose (compose $_1108 (compose h a)) (domain $_1107))) % 10.76/11.07 (compose (compose $_1108 (compose h a)) (domain $_1107)) = % 10.76/11.07 compose (compose $_1108 (compose h a)) (domain $_1107) % 10.76/11.07 |- ifeq (codomain $_1109) (domain $_1107) % 10.76/11.07 (ifeq (codomain b) (domain $_1109) % 10.76/11.07 (compose (compose g (compose a b)) % 10.76/11.07 (compose $_1109 (domain $_1107))) % 10.76/11.07 (compose (compose (compose g (compose a b)) $_1109) % 10.76/11.07 (domain $_1107))) % 10.76/11.07 (compose (compose (compose g (compose a b)) $_1109) (domain $_1107)) = % 10.76/11.07 compose (compose (compose g (compose a b)) $_1109) (domain $_1107) % 10.76/11.07 |- ifeq (codomain b) (domain g) % 10.76/11.07 (compose (compose g (compose a b)) (compose g (compose a b))) % 10.76/11.07 (compose (compose (compose g (compose a b)) (compose g a)) b) = % 10.76/11.07 compose (compose (compose g (compose a b)) (compose g a)) b % 10.76/11.07 |- ifeq (codomain b) (domain $_1111) % 10.76/11.07 (ifeq (codomain b) (codomain g) % 10.76/11.07 (compose (compose g (compose a b)) (compose (compose a b) $_1111)) % 10.76/11.07 (compose (compose (compose g (compose a b)) (compose a b)) $_1111)) % 10.76/11.07 (compose (compose (compose g (compose a b)) (compose a b)) $_1111) = % 10.76/11.07 compose (compose (compose g (compose a b)) (compose a b)) $_1111 % 10.76/11.07 |- ifeq (codomain a) (domain $_1111) % 10.76/11.07 (ifeq (codomain b) (domain g) % 10.76/11.07 (compose (compose g (compose a b)) (compose (compose g a) $_1111)) % 10.76/11.07 (compose (compose (compose g (compose a b)) (compose g a)) $_1111)) % 10.76/11.07 (compose (compose (compose g (compose a b)) (compose g a)) $_1111) = % 10.76/11.07 compose (compose (compose g (compose a b)) (compose g a)) $_1111 % 10.76/11.07 |- ifeq (codomain b) (domain $_1111) % 10.76/11.07 (ifeq (codomain b) (domain g) % 10.76/11.07 (compose (compose g (compose a b)) % 10.76/11.07 (compose (compose g (compose a b)) $_1111)) % 10.76/11.07 (compose % 10.76/11.07 (compose (compose g (compose a b)) (compose g (compose a b))) % 10.76/11.07 $_1111)) % 10.76/11.07 (compose (compose (compose g (compose a b)) (compose g (compose a b))) % 10.76/11.07 $_1111) = % 10.76/11.07 compose (compose (compose g (compose a b)) (compose g (compose a b))) % 10.76/11.07 $_1111 % 10.76/11.07 |- ifeq (codomain a) (domain $_1111) % 10.76/11.07 (ifeq (codomain b) (domain g) % 10.76/11.07 (compose (compose g (compose a b)) (compose (compose h a) $_1111)) % 10.76/11.07 (compose (compose (compose g (compose a b)) (compose h a)) $_1111)) % 10.76/11.07 (compose (compose (compose g (compose a b)) (compose h a)) $_1111) = % 10.76/11.07 compose (compose (compose g (compose a b)) (compose h a)) $_1111 % 10.83/11.07 |- ifeq (codomain $_1110) (codomain g) % 10.83/11.07 (ifeq (codomain b) (domain $_1110) % 10.83/11.07 (compose (compose g (compose a b)) (compose $_1110 (compose a b))) % 10.83/11.07 (compose (compose (compose g (compose a b)) $_1110) (compose a b))) % 10.83/11.07 (compose (compose (compose g (compose a b)) $_1110) (compose a b)) = % 10.83/11.07 compose (compose (compose g (compose a b)) $_1110) (compose a b) % 10.83/11.07 |- ifeq (codomain $_1110) (domain g) % 10.83/11.07 (ifeq (codomain b) (domain $_1110) % 10.83/11.07 (compose (compose g (compose a b)) (compose $_1110 (compose g a))) % 10.83/11.07 (compose (compose (compose g (compose a b)) $_1110) (compose g a))) % 10.83/11.07 (compose (compose (compose g (compose a b)) $_1110) (compose g a)) = % 10.83/11.07 compose (compose (compose g (compose a b)) $_1110) (compose g a) % 10.83/11.07 |- ifeq (codomain $_1110) (domain g) % 10.83/11.07 (ifeq (codomain b) (domain $_1110) % 10.83/11.07 (compose (compose g (compose a b)) % 10.83/11.07 (compose $_1110 (compose g (compose a b)))) % 10.83/11.07 (compose (compose (compose g (compose a b)) $_1110) % 10.83/11.07 (compose g (compose a b)))) % 10.83/11.07 (compose (compose (compose g (compose a b)) $_1110) % 10.83/11.07 (compose g (compose a b))) = % 10.83/11.07 compose (compose (compose g (compose a b)) $_1110) % 10.83/11.07 (compose g (compose a b)) % 10.83/11.07 |- ifeq (codomain $_1110) (domain g) % 10.83/11.07 (ifeq (codomain b) (domain $_1110) % 10.83/11.07 (compose (compose g (compose a b)) (compose $_1110 (compose h a))) % 10.83/11.07 (compose (compose (compose g (compose a b)) $_1110) (compose h a))) % 10.83/11.07 (compose (compose (compose g (compose a b)) $_1110) (compose h a)) = % 10.83/11.07 compose (compose (compose g (compose a b)) $_1110) (compose h a) % 10.83/11.07 |- ifeq (codomain $_1112) (codomain a) % 10.83/11.07 (ifeq (codomain $_1) (codomain $_1112) % 10.83/11.07 (compose (codomain $_1) (compose (codomain $_1112) b)) % 10.83/11.07 (compose (compose (codomain $_1) (codomain $_1112)) b)) % 10.83/11.07 (compose (compose (codomain $_1) (codomain $_1112)) b) = % 10.83/11.07 compose (compose (codomain $_1) (codomain $_1112)) b % 10.83/11.07 |- ifeq (codomain $_1112) (codomain a) % 10.83/11.07 (ifeq (codomain b) (codomain $_1112) % 10.83/11.07 (compose (compose g (compose a b)) (compose (codomain $_1112) b)) % 10.83/11.07 (compose (compose (compose g (compose a b)) (codomain $_1112)) b)) % 10.83/11.07 (compose (compose (compose g (compose a b)) (codomain $_1112)) b) = % 10.83/11.07 compose (compose (compose g (compose a b)) (codomain $_1112)) b % 10.83/11.07 |- ifeq (codomain $_1112) (codomain a) % 10.83/11.07 (ifeq (domain $X) (codomain $_1112) % 10.83/11.07 (compose (domain $X) (compose (codomain $_1112) b)) % 10.83/11.07 (compose (compose (domain $X) (codomain $_1112)) b)) % 10.83/11.07 (compose (compose (domain $X) (codomain $_1112)) b) = % 10.83/11.07 compose (compose (domain $X) (codomain $_1112)) b % 10.83/11.07 |- ifeq (domain $_1114) (codomain a) % 10.83/11.07 (ifeq (codomain $_1) (domain $_1114) % 10.83/11.07 (compose (codomain $_1) (compose (domain $_1114) b)) % 10.83/11.07 (compose (compose (codomain $_1) (domain $_1114)) b)) % 10.83/11.07 (compose (compose (codomain $_1) (domain $_1114)) b) = % 10.83/11.07 compose (compose (codomain $_1) (domain $_1114)) b % 10.83/11.07 |- ifeq (domain $_1114) (codomain a) % 10.83/11.07 (ifeq (codomain b) (domain $_1114) % 10.83/11.07 (compose (compose g (compose a b)) (compose (domain $_1114) b)) % 10.83/11.07 (compose (compose (compose g (compose a b)) (domain $_1114)) b)) % 10.83/11.07 (compose (compose (compose g (compose a b)) (domain $_1114)) b) = % 10.83/11.07 compose (compose (compose g (compose a b)) (domain $_1114)) b % 10.83/11.07 |- ifeq (domain $_1114) (codomain a) % 10.83/11.07 (ifeq (domain $X) (domain $_1114) % 10.83/11.07 (compose (domain $X) (compose (domain $_1114) b)) % 10.83/11.07 (compose (compose (domain $X) (domain $_1114)) b)) % 10.83/11.07 (compose (compose (domain $X) (domain $_1114)) b) = % 10.83/11.07 compose (compose (domain $X) (domain $_1114)) b % 10.83/11.07 |- ifeq (codomain b) (codomain $X) % 10.83/11.07 (ifeq (codomain a) (codomain g) % 10.83/11.07 (compose (compose g a) (compose (compose a b) (codomain $X))) % 10.83/11.07 (compose (compose (compose g a) (compose a b)) (codomain $X))) % 10.83/11.07 (compose (compose (compose g a) (compose a b)) (codomain $X)) = % 10.83/11.07 compose (compose (compose g a) (compose a b)) (codomain $X) % 10.83/11.07 |- ifeq (codomain b) (codomain g) % 10.83/11.07 (ifeq (codomain a) (codomain g) % 10.83/11.07 (compose (compose g a) (compose (compose a b) (compose a b))) % 10.83/11.07 (compose (compose (compose g a) (compose a b)) (compose a b))) % 10.83/11.07 (compose (compose (compose g a) (compose a b)) (compose a b)) = % 10.83/11.07 compose (compose (compose g a) (compose a b)) (compose a b) % 10.83/11.07 |- ifeq (codomain b) (domain g) % 10.83/11.07 (ifeq (codomain a) (codomain g) % 10.83/11.07 (compose (compose g a) % 10.83/11.07 (compose (compose a b) (compose g (compose a b)))) % 10.83/11.07 (compose (compose (compose g a) (compose a b)) % 10.83/11.07 (compose g (compose a b)))) % 10.83/11.07 (compose (compose (compose g a) (compose a b)) % 10.83/11.07 (compose g (compose a b))) = % 10.83/11.07 compose (compose (compose g a) (compose a b)) (compose g (compose a b)) % 10.83/11.07 |- ifeq (codomain b) (domain g) % 10.83/11.07 (ifeq (codomain a) (codomain g) % 10.83/11.07 (compose (compose g a) (compose (compose a b) (compose h a))) % 10.83/11.07 (compose (compose (compose g a) (compose a b)) (compose h a))) % 10.83/11.07 (compose (compose (compose g a) (compose a b)) (compose h a)) = % 10.83/11.07 compose (compose (compose g a) (compose a b)) (compose h a) % 10.83/11.07 |- ifeq (codomain b) (domain $X) % 10.83/11.07 (ifeq (codomain a) (codomain g) % 10.83/11.07 (compose (compose g a) (compose (compose a b) (domain $X))) % 10.83/11.07 (compose (compose (compose g a) (compose a b)) (domain $X))) % 10.83/11.07 (compose (compose (compose g a) (compose a b)) (domain $X)) = % 10.83/11.07 compose (compose (compose g a) (compose a b)) (domain $X) % 10.83/11.07 |- ifeq (codomain a) (codomain $X) % 10.83/11.07 (ifeq (codomain a) (domain g) % 10.83/11.07 (compose (compose g a) (compose (compose g a) (codomain $X))) % 10.83/11.07 (compose (compose (compose g a) (compose g a)) (codomain $X))) % 10.83/11.07 (compose (compose (compose g a) (compose g a)) (codomain $X)) = % 10.83/11.07 compose (compose (compose g a) (compose g a)) (codomain $X) % 10.83/11.08 |- ifeq (codomain a) (codomain g) % 10.83/11.08 (ifeq (codomain a) (domain g) % 10.83/11.08 (compose (compose g a) (compose (compose g a) (compose a b))) % 10.83/11.08 (compose (compose (compose g a) (compose g a)) (compose a b))) % 10.83/11.08 (compose (compose (compose g a) (compose g a)) (compose a b)) = % 10.83/11.08 compose (compose (compose g a) (compose g a)) (compose a b) % 10.83/11.08 |- ifeq (codomain a) (domain g) % 10.83/11.08 (ifeq (codomain a) (domain g) % 10.83/11.08 (compose (compose g a) % 10.83/11.08 (compose (compose g a) (compose g (compose a b)))) % 10.83/11.08 (compose (compose (compose g a) (compose g a)) % 10.83/11.08 (compose g (compose a b)))) % 10.83/11.08 (compose (compose (compose g a) (compose g a)) % 10.83/11.08 (compose g (compose a b))) = % 10.83/11.08 compose (compose (compose g a) (compose g a)) (compose g (compose a b)) % 10.83/11.08 |- ifeq (codomain a) (domain g) % 10.83/11.08 (ifeq (codomain a) (domain g) % 10.83/11.08 (compose (compose g a) (compose (compose g a) (compose h a))) % 10.83/11.08 (compose (compose (compose g a) (compose g a)) (compose h a))) % 10.83/11.08 (compose (compose (compose g a) (compose g a)) (compose h a)) = % 10.83/11.08 compose (compose (compose g a) (compose g a)) (compose h a) % 10.83/11.08 |- ifeq (codomain a) (domain $X) % 10.83/11.08 (ifeq (codomain a) (domain g) % 10.83/11.08 (compose (compose g a) (compose (compose g a) (domain $X))) % 10.83/11.08 (compose (compose (compose g a) (compose g a)) (domain $X))) % 10.83/11.08 (compose (compose (compose g a) (compose g a)) (domain $X)) = % 10.83/11.08 compose (compose (compose g a) (compose g a)) (domain $X) % 10.83/11.08 |- ifeq (codomain $X) (domain g) % 10.83/11.08 (ifeq (codomain a) (codomain $X) % 10.83/11.08 (compose (compose g a) (compose (codomain $X) (compose h a))) % 10.83/11.08 (compose (compose (compose g a) (codomain $X)) (compose h a))) % 10.83/11.08 (compose (compose (compose g a) (codomain $X)) (compose h a)) = % 10.83/11.08 compose (compose (compose g a) (codomain $X)) (compose h a) % 10.83/11.08 |- ifeq (codomain b) (domain g) % 10.83/11.08 (ifeq (codomain a) (domain g) % 10.83/11.08 (compose (compose g a) % 10.83/11.08 (compose (compose g (compose a b)) (compose h a))) % 10.83/11.08 (compose (compose (compose g a) (compose g (compose a b))) % 10.83/11.08 (compose h a))) % 10.83/11.08 (compose (compose (compose g a) (compose g (compose a b))) % 10.83/11.08 (compose h a)) = % 10.83/11.08 compose (compose (compose g a) (compose g (compose a b))) (compose h a) % 10.83/11.08 |- ifeq (codomain a) (domain g) % 10.83/11.08 (ifeq (codomain a) (domain g) % 10.83/11.08 (compose (compose g a) (compose (compose h a) (compose h a))) % 10.83/11.08 (compose (compose (compose g a) (compose h a)) (compose h a))) % 10.83/11.08 (compose (compose (compose g a) (compose h a)) (compose h a)) = % 10.83/11.08 compose (compose (compose g a) (compose h a)) (compose h a) % 10.83/11.08 |- ifeq (domain $X) (domain g) % 10.83/11.08 (ifeq (codomain a) (domain $X) % 10.83/11.08 (compose (compose g a) (compose (domain $X) (compose h a))) % 10.83/11.08 (compose (compose (compose g a) (domain $X)) (compose h a))) % 10.83/11.08 (compose (compose (compose g a) (domain $X)) (compose h a)) = % 10.83/11.08 compose (compose (compose g a) (domain $X)) (compose h a) % 10.83/11.08 |- ifeq (codomain $_1131) (domain g) % 10.83/11.08 (ifeq (codomain $_1) (codomain $_1131) % 10.83/11.08 (compose (codomain $_1) (compose (codomain $_1131) h)) % 10.83/11.08 (compose (compose (codomain $_1) (codomain $_1131)) h)) % 10.83/11.08 (compose (compose (codomain $_1) (codomain $_1131)) h) = % 10.83/11.08 compose (compose (codomain $_1) (codomain $_1131)) h % 10.83/11.08 |- ifeq (codomain $_1131) (domain g) % 10.83/11.08 (ifeq (codomain b) (codomain $_1131) % 10.83/11.08 (compose (compose g (compose a b)) (compose (codomain $_1131) h)) % 10.83/11.08 (compose (compose (compose g (compose a b)) (codomain $_1131)) h)) % 10.83/11.08 (compose (compose (compose g (compose a b)) (codomain $_1131)) h) = % 10.83/11.08 compose (compose (compose g (compose a b)) (codomain $_1131)) h % 10.83/11.08 |- ifeq (codomain $_1131) (domain g) % 10.83/11.08 (ifeq (domain $X) (codomain $_1131) % 10.83/11.08 (compose (domain $X) (compose (codomain $_1131) h)) % 10.83/11.08 (compose (compose (domain $X) (codomain $_1131)) h)) % 10.83/11.08 (compose (compose (domain $X) (codomain $_1131)) h) = % 10.83/11.08 compose (compose (domain $X) (codomain $_1131)) h % 10.83/11.08 |- ifeq (domain $_1133) (domain g) % 10.83/11.08 (ifeq (codomain $_1) (domain $_1133) % 10.83/11.08 (compose (codomain $_1) (compose (domain $_1133) h)) % 10.83/11.08 (compose (compose (codomain $_1) (domain $_1133)) h)) % 10.83/11.08 (compose (compose (codomain $_1) (domain $_1133)) h) = % 10.83/11.08 compose (compose (codomain $_1) (domain $_1133)) h % 10.83/11.08 |- ifeq (domain $_1133) (domain g) % 10.83/11.08 (ifeq (codomain b) (domain $_1133) % 10.83/11.08 (compose (compose g (compose a b)) (compose (domain $_1133) h)) % 10.83/11.08 (compose (compose (compose g (compose a b)) (domain $_1133)) h)) % 10.83/11.08 (compose (compose (compose g (compose a b)) (domain $_1133)) h) = % 10.83/11.08 compose (compose (compose g (compose a b)) (domain $_1133)) h % 10.83/11.08 |- ifeq (domain $_1133) (domain g) % 10.83/11.08 (ifeq (domain $X) (domain $_1133) % 10.83/11.08 (compose (domain $X) (compose (domain $_1133) h)) % 10.83/11.08 (compose (compose (domain $X) (domain $_1133)) h)) % 10.83/11.08 (compose (compose (domain $X) (domain $_1133)) h) = % 10.83/11.08 compose (compose (domain $X) (domain $_1133)) h % 10.83/11.08 |- ifeq (codomain b) (domain g) % 10.83/11.08 (ifeq (codomain $_1135) (domain g) % 10.83/11.08 (compose (codomain $_1135) (compose (compose g (compose a b)) h)) % 10.83/11.08 (compose (compose (codomain $_1135) (compose g (compose a b))) h)) % 10.83/11.08 (compose (compose (codomain $_1135) (compose g (compose a b))) h) = % 10.83/11.08 compose (compose (codomain $_1135) (compose g (compose a b))) h % 10.83/11.08 |- ifeq (codomain b) (domain g) % 10.83/11.08 (ifeq (domain $X) (domain g) % 10.83/11.08 (compose (domain $X) (compose (compose g (compose a b)) h)) % 10.83/11.08 (compose (compose (domain $X) (compose g (compose a b))) h)) % 10.83/11.08 (compose (compose (domain $X) (compose g (compose a b))) h) = % 10.83/11.08 compose (compose (domain $X) (compose g (compose a b))) h % 10.83/11.08 |- ifeq (codomain b) (domain g) % 10.83/11.08 (ifeq (codomain b) (domain g) % 10.83/11.08 (compose (compose g (compose a b)) % 10.83/11.08 (compose (compose g (compose a b)) h)) % 10.83/11.08 (compose % 10.83/11.08 (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.08 h)) % 10.83/11.08 (compose (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.08 h) = % 10.83/11.08 compose (compose (compose g (compose a b)) (compose g (compose a b))) h % 10.83/11.08 |- ifeq (codomain a) (codomain $X) % 10.83/11.08 (ifeq (codomain b) (domain g) % 10.83/11.08 (compose (compose a b) (compose (compose h a) (codomain $X))) % 10.83/11.08 (compose (compose (compose a b) (compose h a)) (codomain $X))) % 10.83/11.08 (compose (compose (compose a b) (compose h a)) (codomain $X)) = % 10.83/11.08 compose (compose (compose a b) (compose h a)) (codomain $X) % 10.83/11.08 |- ifeq (codomain a) (codomain g) % 10.83/11.08 (ifeq (codomain b) (domain g) % 10.83/11.08 (compose (compose a b) (compose (compose h a) (compose a b))) % 10.83/11.08 (compose (compose (compose a b) (compose h a)) (compose a b))) % 10.83/11.08 (compose (compose (compose a b) (compose h a)) (compose a b)) = % 10.83/11.08 compose (compose (compose a b) (compose h a)) (compose a b) % 10.83/11.08 |- ifeq (codomain a) (domain g) % 10.83/11.08 (ifeq (codomain b) (domain g) % 10.83/11.08 (compose (compose a b) (compose (compose h a) (compose g a))) % 10.83/11.08 (compose (compose (compose a b) (compose h a)) (compose g a))) % 10.83/11.08 (compose (compose (compose a b) (compose h a)) (compose g a)) = % 10.83/11.08 compose (compose (compose a b) (compose h a)) (compose g a) % 10.83/11.08 |- ifeq (codomain a) (domain g) % 10.83/11.08 (ifeq (codomain b) (domain g) % 10.83/11.08 (compose (compose a b) % 10.83/11.08 (compose (compose h a) (compose g (compose a b)))) % 10.83/11.08 (compose (compose (compose a b) (compose h a)) % 10.83/11.08 (compose g (compose a b)))) % 10.83/11.08 (compose (compose (compose a b) (compose h a)) % 10.83/11.08 (compose g (compose a b))) = % 10.83/11.08 compose (compose (compose a b) (compose h a)) (compose g (compose a b)) % 10.83/11.08 |- ifeq (codomain a) (domain g) % 10.83/11.08 (ifeq (codomain b) (domain g) % 10.83/11.08 (compose (compose a b) (compose (compose h a) (compose h a))) % 10.83/11.08 (compose (compose (compose a b) (compose h a)) (compose h a))) % 10.83/11.08 (compose (compose (compose a b) (compose h a)) (compose h a)) = % 10.83/11.08 compose (compose (compose a b) (compose h a)) (compose h a) % 10.83/11.08 |- ifeq (codomain a) (domain $X) % 10.83/11.08 (ifeq (codomain b) (domain g) % 10.83/11.08 (compose (compose a b) (compose (compose h a) (domain $X))) % 10.83/11.08 (compose (compose (compose a b) (compose h a)) (domain $X))) % 10.83/11.08 (compose (compose (compose a b) (compose h a)) (domain $X)) = % 10.83/11.08 compose (compose (compose a b) (compose h a)) (domain $X) % 10.83/11.08 |- compose (compose (compose a b) g) (compose a b) = % 10.83/11.08 ifeq (codomain b) (domain g) % 10.83/11.08 (compose (compose a b) (compose g (compose a b))) % 10.83/11.08 (compose (compose (compose a b) g) (compose a b)) % 10.83/11.08 |- ifeq (codomain $X) (codomain g) % 10.83/11.08 (ifeq (codomain b) (codomain $X) % 10.83/11.08 (compose (compose a b) (compose (codomain $X) (compose a b))) % 10.83/11.08 (compose (compose (compose a b) (codomain $X)) (compose a b))) % 10.83/11.08 (compose (compose (compose a b) (codomain $X)) (compose a b)) = % 10.83/11.08 compose (compose (compose a b) (codomain $X)) (compose a b) % 10.83/11.08 |- ifeq (codomain b) (codomain g) % 10.83/11.08 (ifeq (codomain b) (codomain g) % 10.83/11.08 (compose (compose a b) (compose (compose a b) (compose a b))) % 10.83/11.08 (compose (compose (compose a b) (compose a b)) (compose a b))) % 10.83/11.08 (compose (compose (compose a b) (compose a b)) (compose a b)) = % 10.83/11.08 compose (compose (compose a b) (compose a b)) (compose a b) % 10.83/11.08 |- ifeq (codomain b) (codomain g) % 10.83/11.08 (ifeq (codomain b) (domain g) % 10.83/11.08 (compose (compose a b) % 10.83/11.08 (compose (compose g (compose a b)) (compose a b))) % 10.83/11.08 (compose (compose (compose a b) (compose g (compose a b))) % 10.83/11.08 (compose a b))) % 10.83/11.08 (compose (compose (compose a b) (compose g (compose a b))) % 10.83/11.08 (compose a b)) = % 10.83/11.08 compose (compose (compose a b) (compose g (compose a b))) (compose a b) % 10.83/11.08 |- ifeq (domain $X) (codomain g) % 10.83/11.08 (ifeq (codomain b) (domain $X) % 10.83/11.08 (compose (compose a b) (compose (domain $X) (compose a b))) % 10.83/11.08 (compose (compose (compose a b) (domain $X)) (compose a b))) % 10.83/11.08 (compose (compose (compose a b) (domain $X)) (compose a b)) = % 10.83/11.08 compose (compose (compose a b) (domain $X)) (compose a b) % 10.83/11.08 |- ifeq (codomain $X) (domain g) % 10.83/11.08 (ifeq (codomain b) (codomain $X) % 10.83/11.08 (compose (compose a b) (compose (codomain $X) (compose h a))) % 10.83/11.08 (compose (compose (compose a b) (codomain $X)) (compose h a))) % 10.83/11.08 (compose (compose (compose a b) (codomain $X)) (compose h a)) = % 10.83/11.08 compose (compose (compose a b) (codomain $X)) (compose h a) % 10.83/11.09 |- ifeq (codomain b) (domain g) % 10.83/11.09 (ifeq (codomain b) (codomain g) % 10.83/11.09 (compose (compose a b) (compose (compose a b) (compose h a))) % 10.83/11.09 (compose (compose (compose a b) (compose a b)) (compose h a))) % 10.83/11.09 (compose (compose (compose a b) (compose a b)) (compose h a)) = % 10.83/11.09 compose (compose (compose a b) (compose a b)) (compose h a) % 10.83/11.09 |- ifeq (codomain b) (domain g) % 10.83/11.09 (ifeq (codomain b) (domain g) % 10.83/11.09 (compose (compose a b) % 10.83/11.09 (compose (compose g (compose a b)) (compose h a))) % 10.83/11.09 (compose (compose (compose a b) (compose g (compose a b))) % 10.83/11.09 (compose h a))) % 10.83/11.09 (compose (compose (compose a b) (compose g (compose a b))) % 10.83/11.09 (compose h a)) = % 10.83/11.09 compose (compose (compose a b) (compose g (compose a b))) (compose h a) % 10.83/11.09 |- ifeq (domain $X) (domain g) % 10.83/11.09 (ifeq (codomain b) (domain $X) % 10.83/11.09 (compose (compose a b) (compose (domain $X) (compose h a))) % 10.83/11.09 (compose (compose (compose a b) (domain $X)) (compose h a))) % 10.83/11.09 (compose (compose (compose a b) (domain $X)) (compose h a)) = % 10.83/11.09 compose (compose (compose a b) (domain $X)) (compose h a) % 10.83/11.09 |- ifeq (codomain g) (domain g) % 10.83/11.09 (ifeq (codomain b) (domain g) % 10.83/11.09 (compose (compose a b) (compose h (compose h a))) % 10.83/11.09 (compose (compose (compose a b) h) (compose h a))) % 10.83/11.09 (compose (compose (compose a b) h) (compose h a)) = % 10.83/11.09 compose (compose (compose a b) h) (compose h a) % 10.83/11.09 |- ifeq (codomain a) (codomain $X) % 10.83/11.09 (ifeq (codomain a) (domain g) % 10.83/11.09 (compose (compose h a) (compose (compose h a) (codomain $X))) % 10.83/11.09 (compose (compose (compose h a) (compose h a)) (codomain $X))) % 10.83/11.09 (compose (compose (compose h a) (compose h a)) (codomain $X)) = % 10.83/11.09 compose (compose (compose h a) (compose h a)) (codomain $X) % 10.83/11.09 |- ifeq (codomain a) (codomain g) % 10.83/11.09 (ifeq (codomain a) (domain g) % 10.83/11.09 (compose (compose h a) (compose (compose h a) (compose a b))) % 10.83/11.09 (compose (compose (compose h a) (compose h a)) (compose a b))) % 10.83/11.09 (compose (compose (compose h a) (compose h a)) (compose a b)) = % 10.83/11.09 compose (compose (compose h a) (compose h a)) (compose a b) % 10.83/11.09 |- ifeq (codomain a) (domain g) % 10.83/11.09 (ifeq (codomain a) (domain g) % 10.83/11.09 (compose (compose h a) (compose (compose h a) (compose g a))) % 10.83/11.09 (compose (compose (compose h a) (compose h a)) (compose g a))) % 10.83/11.09 (compose (compose (compose h a) (compose h a)) (compose g a)) = % 10.83/11.09 compose (compose (compose h a) (compose h a)) (compose g a) % 10.83/11.09 |- ifeq (codomain a) (domain g) % 10.83/11.09 (ifeq (codomain a) (domain g) % 10.83/11.09 (compose (compose h a) % 10.83/11.09 (compose (compose h a) (compose g (compose a b)))) % 10.83/11.09 (compose (compose (compose h a) (compose h a)) % 10.83/11.09 (compose g (compose a b)))) % 10.83/11.09 (compose (compose (compose h a) (compose h a)) % 10.83/11.09 (compose g (compose a b))) = % 10.83/11.09 compose (compose (compose h a) (compose h a)) (compose g (compose a b)) % 10.83/11.09 |- ifeq (codomain a) (domain g) % 10.83/11.09 (ifeq (codomain a) (domain g) % 10.83/11.09 (compose (compose h a) (compose (compose h a) (compose h a))) % 10.83/11.09 (compose (compose (compose h a) (compose h a)) (compose h a))) % 10.83/11.09 (compose (compose (compose h a) (compose h a)) (compose h a)) = % 10.83/11.09 compose (compose (compose h a) (compose h a)) (compose h a) % 10.83/11.09 |- ifeq (codomain a) (domain $X) % 10.83/11.09 (ifeq (codomain a) (domain g) % 10.83/11.09 (compose (compose h a) (compose (compose h a) (domain $X))) % 10.83/11.09 (compose (compose (compose h a) (compose h a)) (domain $X))) % 10.83/11.09 (compose (compose (compose h a) (compose h a)) (domain $X)) = % 10.83/11.09 compose (compose (compose h a) (compose h a)) (domain $X) % 10.83/11.09 |- compose (compose (compose h a) g) (compose a b) = % 10.83/11.09 ifeq (codomain a) (domain g) % 10.83/11.09 (compose (compose h a) (compose g (compose a b))) % 10.83/11.09 (compose (compose (compose h a) g) (compose a b)) % 10.83/11.09 |- ifeq (codomain $X) (codomain g) % 10.83/11.09 (ifeq (codomain a) (codomain $X) % 10.83/11.09 (compose (compose h a) (compose (codomain $X) (compose a b))) % 10.83/11.09 (compose (compose (compose h a) (codomain $X)) (compose a b))) % 10.83/11.09 (compose (compose (compose h a) (codomain $X)) (compose a b)) = % 10.83/11.09 compose (compose (compose h a) (codomain $X)) (compose a b) % 10.83/11.09 |- ifeq (codomain b) (codomain g) % 10.83/11.09 (ifeq (codomain a) (codomain g) % 10.83/11.09 (compose (compose h a) (compose (compose a b) (compose a b))) % 10.83/11.09 (compose (compose (compose h a) (compose a b)) (compose a b))) % 10.83/11.09 (compose (compose (compose h a) (compose a b)) (compose a b)) = % 10.83/11.09 compose (compose (compose h a) (compose a b)) (compose a b) % 10.83/11.09 |- ifeq (codomain b) (codomain g) % 10.83/11.09 (ifeq (codomain a) (domain g) % 10.83/11.09 (compose (compose h a) % 10.83/11.09 (compose (compose g (compose a b)) (compose a b))) % 10.83/11.09 (compose (compose (compose h a) (compose g (compose a b))) % 10.83/11.09 (compose a b))) % 10.83/11.09 (compose (compose (compose h a) (compose g (compose a b))) % 10.83/11.09 (compose a b)) = % 10.83/11.09 compose (compose (compose h a) (compose g (compose a b))) (compose a b) % 10.83/11.09 |- ifeq (domain $X) (codomain g) % 10.83/11.09 (ifeq (codomain a) (domain $X) % 10.83/11.09 (compose (compose h a) (compose (domain $X) (compose a b))) % 10.83/11.09 (compose (compose (compose h a) (domain $X)) (compose a b))) % 10.83/11.09 (compose (compose (compose h a) (domain $X)) (compose a b)) = % 10.83/11.09 compose (compose (compose h a) (domain $X)) (compose a b) % 10.83/11.09 |- ifeq (codomain $X) (domain g) % 10.83/11.09 (ifeq (codomain a) (codomain $X) % 10.83/11.09 (compose (compose h a) (compose (codomain $X) (compose h a))) % 10.83/11.09 (compose (compose (compose h a) (codomain $X)) (compose h a))) % 10.83/11.09 (compose (compose (compose h a) (codomain $X)) (compose h a)) = % 10.83/11.09 compose (compose (compose h a) (codomain $X)) (compose h a) % 10.83/11.09 |- ifeq (codomain b) (domain g) % 10.83/11.09 (ifeq (codomain a) (codomain g) % 10.83/11.09 (compose (compose h a) (compose (compose a b) (compose h a))) % 10.83/11.09 (compose (compose (compose h a) (compose a b)) (compose h a))) % 10.83/11.09 (compose (compose (compose h a) (compose a b)) (compose h a)) = % 10.83/11.09 compose (compose (compose h a) (compose a b)) (compose h a) % 10.83/11.09 |- ifeq (codomain b) (domain g) % 10.83/11.09 (ifeq (codomain a) (domain g) % 10.83/11.09 (compose (compose h a) % 10.83/11.09 (compose (compose g (compose a b)) (compose h a))) % 10.83/11.09 (compose (compose (compose h a) (compose g (compose a b))) % 10.83/11.09 (compose h a))) % 10.83/11.09 (compose (compose (compose h a) (compose g (compose a b))) % 10.83/11.09 (compose h a)) = % 10.83/11.09 compose (compose (compose h a) (compose g (compose a b))) (compose h a) % 10.83/11.09 |- ifeq (domain $X) (domain g) % 10.83/11.09 (ifeq (codomain a) (domain $X) % 10.83/11.09 (compose (compose h a) (compose (domain $X) (compose h a))) % 10.83/11.09 (compose (compose (compose h a) (domain $X)) (compose h a))) % 10.83/11.09 (compose (compose (compose h a) (domain $X)) (compose h a)) = % 10.83/11.09 compose (compose (compose h a) (domain $X)) (compose h a) % 10.83/11.09 |- ifeq (codomain $X) (domain g) % 10.83/11.09 (ifeq (codomain b) (codomain $X) % 10.83/11.09 (compose (compose g (compose a b)) % 10.83/11.09 (compose (codomain $X) (compose h a))) % 10.83/11.09 (compose (compose (compose g (compose a b)) (codomain $X)) % 10.83/11.09 (compose h a))) % 10.83/11.09 (compose (compose (compose g (compose a b)) (codomain $X)) % 10.83/11.09 (compose h a)) = % 10.83/11.09 compose (compose (compose g (compose a b)) (codomain $X)) (compose h a) % 10.83/11.09 |- ifeq (codomain b) (domain g) % 10.83/11.09 (ifeq (codomain b) (codomain g) % 10.83/11.09 (compose (compose g (compose a b)) % 10.83/11.09 (compose (compose a b) (compose h a))) % 10.83/11.09 (compose (compose (compose g (compose a b)) (compose a b)) % 10.83/11.09 (compose h a))) % 10.83/11.09 (compose (compose (compose g (compose a b)) (compose a b)) % 10.83/11.09 (compose h a)) = % 10.83/11.09 compose (compose (compose g (compose a b)) (compose a b)) (compose h a) % 10.83/11.09 |- ifeq (codomain a) (domain g) % 10.83/11.09 (ifeq (codomain b) (domain g) % 10.83/11.09 (compose (compose g (compose a b)) % 10.83/11.09 (compose (compose g a) (compose h a))) % 10.83/11.09 (compose (compose (compose g (compose a b)) (compose g a)) % 10.83/11.09 (compose h a))) % 10.83/11.09 (compose (compose (compose g (compose a b)) (compose g a)) % 10.83/11.09 (compose h a)) = % 10.83/11.09 compose (compose (compose g (compose a b)) (compose g a)) (compose h a) % 10.83/11.09 |- ifeq (codomain b) (domain g) % 10.83/11.09 (ifeq (codomain b) (domain g) % 10.83/11.09 (compose (compose g (compose a b)) % 10.83/11.09 (compose (compose g (compose a b)) (compose h a))) % 10.83/11.09 (compose % 10.83/11.09 (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.09 (compose h a))) % 10.83/11.09 (compose (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.09 (compose h a)) = % 10.83/11.09 compose (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.09 (compose h a) % 10.83/11.09 |- ifeq (codomain a) (domain g) % 10.83/11.09 (ifeq (codomain b) (domain g) % 10.83/11.09 (compose (compose g (compose a b)) % 10.83/11.09 (compose (compose h a) (compose h a))) % 10.83/11.09 (compose (compose (compose g (compose a b)) (compose h a)) % 10.83/11.09 (compose h a))) % 10.83/11.09 (compose (compose (compose g (compose a b)) (compose h a)) % 10.83/11.09 (compose h a)) = % 10.83/11.09 compose (compose (compose g (compose a b)) (compose h a)) (compose h a) % 10.83/11.09 |- ifeq (domain $X) (domain g) % 10.83/11.09 (ifeq (codomain b) (domain $X) % 10.83/11.09 (compose (compose g (compose a b)) % 10.83/11.09 (compose (domain $X) (compose h a))) % 10.83/11.09 (compose (compose (compose g (compose a b)) (domain $X)) % 10.83/11.09 (compose h a))) % 10.83/11.09 (compose (compose (compose g (compose a b)) (domain $X)) % 10.83/11.09 (compose h a)) = % 10.83/11.09 compose (compose (compose g (compose a b)) (domain $X)) (compose h a) % 10.83/11.09 |- ifeq (codomain $_1152) (codomain g) % 10.83/11.09 (ifeq (codomain $_1) (codomain $_1152) % 10.83/11.09 (compose (codomain $_1) (compose (codomain $_1152) a)) % 10.83/11.09 (compose (compose (codomain $_1) (codomain $_1152)) a)) % 10.83/11.09 (compose (compose (codomain $_1) (codomain $_1152)) a) = % 10.83/11.09 compose (compose (codomain $_1) (codomain $_1152)) a % 10.83/11.09 |- ifeq (codomain $_1152) (codomain g) % 10.83/11.09 (ifeq (codomain b) (codomain $_1152) % 10.83/11.09 (compose (compose g (compose a b)) (compose (codomain $_1152) a)) % 10.83/11.09 (compose (compose (compose g (compose a b)) (codomain $_1152)) a)) % 10.83/11.09 (compose (compose (compose g (compose a b)) (codomain $_1152)) a) = % 10.83/11.09 compose (compose (compose g (compose a b)) (codomain $_1152)) a % 10.83/11.09 |- ifeq (codomain $_1152) (codomain g) % 10.83/11.09 (ifeq (domain $X) (codomain $_1152) % 10.83/11.09 (compose (domain $X) (compose (codomain $_1152) a)) % 10.83/11.09 (compose (compose (domain $X) (codomain $_1152)) a)) % 10.83/11.09 (compose (compose (domain $X) (codomain $_1152)) a) = % 10.83/11.09 compose (compose (domain $X) (codomain $_1152)) a % 10.83/11.09 |- ifeq (domain $_1154) (codomain g) % 10.83/11.09 (ifeq (codomain $_1) (domain $_1154) % 10.83/11.09 (compose (codomain $_1) (compose (domain $_1154) a)) % 10.83/11.09 (compose (compose (codomain $_1) (domain $_1154)) a)) % 10.83/11.09 (compose (compose (codomain $_1) (domain $_1154)) a) = % 10.83/11.09 compose (compose (codomain $_1) (domain $_1154)) a % 10.83/11.09 |- ifeq (domain $_1154) (codomain g) % 10.83/11.09 (ifeq (codomain b) (domain $_1154) % 10.83/11.09 (compose (compose g (compose a b)) (compose (domain $_1154) a)) % 10.83/11.09 (compose (compose (compose g (compose a b)) (domain $_1154)) a)) % 10.83/11.09 (compose (compose (compose g (compose a b)) (domain $_1154)) a) = % 10.83/11.09 compose (compose (compose g (compose a b)) (domain $_1154)) a % 10.83/11.09 |- ifeq (domain $_1154) (codomain g) % 10.83/11.09 (ifeq (domain $X) (domain $_1154) % 10.83/11.09 (compose (domain $X) (compose (domain $_1154) a)) % 10.83/11.09 (compose (compose (domain $X) (domain $_1154)) a)) % 10.83/11.09 (compose (compose (domain $X) (domain $_1154)) a) = % 10.83/11.09 compose (compose (domain $X) (domain $_1154)) a % 10.83/11.09 |- ifeq (codomain a) (codomain g) % 10.83/11.09 (ifeq (codomain $_1156) (domain g) % 10.83/11.09 (compose (codomain $_1156) (compose (compose g a) a)) % 10.83/11.09 (compose (compose (codomain $_1156) (compose g a)) a)) % 10.83/11.09 (compose (compose (codomain $_1156) (compose g a)) a) = % 10.83/11.09 compose (compose (codomain $_1156) (compose g a)) a % 10.83/11.09 |- ifeq (codomain b) (codomain g) % 10.83/11.09 (ifeq (codomain $_1156) (domain g) % 10.83/11.09 (compose (codomain $_1156) (compose (compose g (compose a b)) a)) % 10.83/11.09 (compose (compose (codomain $_1156) (compose g (compose a b))) a)) % 10.83/11.09 (compose (compose (codomain $_1156) (compose g (compose a b))) a) = % 10.83/11.09 compose (compose (codomain $_1156) (compose g (compose a b))) a % 10.83/11.09 |- ifeq (codomain a) (codomain g) % 10.83/11.09 (ifeq (domain $X) (domain g) % 10.83/11.09 (compose (domain $X) (compose (compose g a) a)) % 10.83/11.09 (compose (compose (domain $X) (compose g a)) a)) % 10.83/11.09 (compose (compose (domain $X) (compose g a)) a) = % 10.83/11.09 compose (compose (domain $X) (compose g a)) a % 10.83/11.09 |- ifeq (codomain b) (codomain g) % 10.83/11.09 (ifeq (domain $_1160) (domain g) % 10.83/11.09 (compose (domain $_1160) (compose (compose g (compose a b)) a)) % 10.83/11.09 (compose (compose (domain $_1160) (compose g (compose a b))) a)) % 10.83/11.09 (compose (compose (domain $_1160) (compose g (compose a b))) a) = % 10.83/11.09 compose (compose (domain $_1160) (compose g (compose a b))) a % 10.83/11.09 |- ifeq (codomain b) (codomain g) % 10.83/11.09 (ifeq (codomain b) (domain g) % 10.83/11.09 (compose (compose g (compose a b)) % 10.83/11.09 (compose (compose g (compose a b)) a)) % 10.83/11.09 (compose % 10.83/11.09 (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.09 a)) % 10.83/11.09 (compose (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.09 a) = % 10.83/11.09 compose (compose (compose g (compose a b)) (compose g (compose a b))) a % 10.83/11.09 |- ifeq (codomain b) (codomain $X) % 10.83/11.09 (ifeq (codomain $_1166) (codomain a) % 10.83/11.09 (compose (codomain $_1166) (compose b (codomain $X))) % 10.83/11.09 (compose (compose (codomain $_1166) b) (codomain $X))) % 10.83/11.09 (compose (compose (codomain $_1166) b) (codomain $X)) = % 10.83/11.09 compose (compose (codomain $_1166) b) (codomain $X) % 10.83/11.09 |- ifeq (codomain b) (domain g) % 10.83/11.09 (ifeq (codomain $_1166) (codomain a) % 10.83/11.09 (compose (codomain $_1166) (compose b (compose g (compose a b)))) % 10.83/11.09 (compose (compose (codomain $_1166) b) (compose g (compose a b)))) % 10.83/11.09 (compose (compose (codomain $_1166) b) (compose g (compose a b))) = % 10.83/11.09 compose (compose (codomain $_1166) b) (compose g (compose a b)) % 10.83/11.09 |- ifeq (codomain b) (domain $X) % 10.83/11.09 (ifeq (codomain $_1166) (codomain a) % 10.83/11.09 (compose (codomain $_1166) (compose b (domain $X))) % 10.83/11.09 (compose (compose (codomain $_1166) b) (domain $X))) % 10.83/11.09 (compose (compose (codomain $_1166) b) (domain $X)) = % 10.83/11.09 compose (compose (codomain $_1166) b) (domain $X) % 10.83/11.09 |- ifeq (codomain b) (codomain $X) % 10.83/11.09 (ifeq (domain $_1168) (codomain a) % 10.83/11.09 (compose (domain $_1168) (compose b (codomain $X))) % 10.83/11.09 (compose (compose (domain $_1168) b) (codomain $X))) % 10.83/11.09 (compose (compose (domain $_1168) b) (codomain $X)) = % 10.83/11.09 compose (compose (domain $_1168) b) (codomain $X) % 10.83/11.09 |- ifeq (codomain b) (domain g) % 10.83/11.09 (ifeq (domain $_1168) (codomain a) % 10.83/11.09 (compose (domain $_1168) (compose b (compose g (compose a b)))) % 10.83/11.09 (compose (compose (domain $_1168) b) (compose g (compose a b)))) % 10.83/11.09 (compose (compose (domain $_1168) b) (compose g (compose a b))) = % 10.83/11.09 compose (compose (domain $_1168) b) (compose g (compose a b)) % 10.83/11.09 |- ifeq (codomain b) (domain $X) % 10.83/11.09 (ifeq (domain $_1168) (codomain a) % 10.83/11.09 (compose (domain $_1168) (compose b (domain $X))) % 10.83/11.09 (compose (compose (domain $_1168) b) (domain $X))) % 10.83/11.09 (compose (compose (domain $_1168) b) (domain $X)) = % 10.83/11.09 compose (compose (domain $_1168) b) (domain $X) % 10.83/11.09 |- ifeq (codomain b) (codomain $_1170) % 10.83/11.09 (ifeq (codomain b) (codomain a) % 10.83/11.09 (compose (compose g (compose a b)) (compose b (codomain $_1170))) % 10.83/11.09 (compose (compose (compose g (compose a b)) b) (codomain $_1170))) % 10.83/11.09 (compose (compose (compose g (compose a b)) b) (codomain $_1170)) = % 10.83/11.09 compose (compose (compose g (compose a b)) b) (codomain $_1170) % 10.83/11.09 |- ifeq (codomain g) (codomain $X) % 10.83/11.09 (ifeq (codomain $_1172) (domain g) % 10.83/11.09 (compose (codomain $_1172) (compose h (codomain $X))) % 10.83/11.09 (compose (compose (codomain $_1172) h) (codomain $X))) % 10.83/11.09 (compose (compose (codomain $_1172) h) (codomain $X)) = % 10.83/11.09 compose (compose (codomain $_1172) h) (codomain $X) % 10.83/11.09 |- ifeq (codomain g) (domain g) % 10.83/11.09 (ifeq (codomain $_1172) (domain g) % 10.83/11.09 (compose (codomain $_1172) (compose h (compose h a))) % 10.83/11.09 (compose (compose (codomain $_1172) h) (compose h a))) % 10.83/11.09 (compose (compose (codomain $_1172) h) (compose h a)) = % 10.83/11.09 compose (compose (codomain $_1172) h) (compose h a) % 10.83/11.10 |- ifeq (codomain g) (domain $X) % 10.83/11.10 (ifeq (codomain $_1172) (domain g) % 10.83/11.10 (compose (codomain $_1172) (compose h (domain $X))) % 10.83/11.10 (compose (compose (codomain $_1172) h) (domain $X))) % 10.83/11.10 (compose (compose (codomain $_1172) h) (domain $X)) = % 10.83/11.10 compose (compose (codomain $_1172) h) (domain $X) % 10.83/11.10 |- ifeq (codomain g) (codomain $X) % 10.83/11.10 (ifeq (domain $_1174) (domain g) % 10.83/11.10 (compose (domain $_1174) (compose h (codomain $X))) % 10.83/11.10 (compose (compose (domain $_1174) h) (codomain $X))) % 10.83/11.10 (compose (compose (domain $_1174) h) (codomain $X)) = % 10.83/11.10 compose (compose (domain $_1174) h) (codomain $X) % 10.83/11.10 |- ifeq (codomain g) (domain g) % 10.83/11.10 (ifeq (domain $_1174) (domain g) % 10.83/11.10 (compose (domain $_1174) (compose h (compose h a))) % 10.83/11.10 (compose (compose (domain $_1174) h) (compose h a))) % 10.83/11.10 (compose (compose (domain $_1174) h) (compose h a)) = % 10.83/11.10 compose (compose (domain $_1174) h) (compose h a) % 10.83/11.10 |- ifeq (codomain g) (domain $X) % 10.83/11.10 (ifeq (domain $_1174) (domain g) % 10.83/11.10 (compose (domain $_1174) (compose h (domain $X))) % 10.83/11.10 (compose (compose (domain $_1174) h) (domain $X))) % 10.83/11.10 (compose (compose (domain $_1174) h) (domain $X)) = % 10.83/11.10 compose (compose (domain $_1174) h) (domain $X) % 10.83/11.10 |- ifeq (codomain g) (codomain $_1176) % 10.83/11.10 (ifeq (codomain b) (domain g) % 10.83/11.10 (compose (compose a b) (compose h (codomain $_1176))) % 10.83/11.10 (compose (compose (compose a b) h) (codomain $_1176))) % 10.83/11.10 (compose (compose (compose a b) h) (codomain $_1176)) = % 10.83/11.10 compose (compose (compose a b) h) (codomain $_1176) % 10.83/11.10 |- ifeq (codomain g) (domain $X) % 10.83/11.10 (ifeq (codomain b) (domain g) % 10.83/11.10 (compose (compose a b) (compose h (domain $X))) % 10.83/11.10 (compose (compose (compose a b) h) (domain $X))) % 10.83/11.10 (compose (compose (compose a b) h) (domain $X)) = % 10.83/11.10 compose (compose (compose a b) h) (domain $X) % 10.83/11.10 |- ifeq (codomain b) (domain $_1181) % 10.83/11.10 (ifeq (domain (compose (compose a b) $_1181)) (codomain g) % 10.83/11.10 (compose (compose a b) $_1181) % 10.83/11.10 (compose % 10.83/11.10 (compose (domain (compose (compose a b) $_1181)) (compose a b)) % 10.83/11.10 $_1181)) % 10.83/11.10 (compose % 10.83/11.10 (compose (domain (compose (compose a b) $_1181)) (compose a b)) % 10.83/11.10 $_1181) = % 10.83/11.10 compose (compose (domain (compose (compose a b) $_1181)) (compose a b)) % 10.83/11.10 $_1181 % 10.83/11.10 |- ifeq (codomain b) (domain $_1181) % 10.83/11.10 (compose g (compose (compose a b) $_1181)) % 10.83/11.10 (compose (compose g (compose a b)) $_1181) = % 10.83/11.10 compose (compose g (compose a b)) $_1181 % 10.83/11.10 |- ifeq (codomain b) (codomain g) % 10.83/11.10 (ifeq (codomain $_1180) (codomain g) % 10.83/11.10 (compose $_1180 (compose (compose a b) (compose a b))) % 10.83/11.10 (compose (compose $_1180 (compose a b)) (compose a b))) % 10.83/11.10 (compose (compose $_1180 (compose a b)) (compose a b)) = % 10.83/11.10 compose (compose $_1180 (compose a b)) (compose a b) % 10.83/11.10 |- ifeq (codomain b) (domain g) % 10.83/11.10 (ifeq (codomain $_1180) (codomain g) % 10.83/11.10 (compose $_1180 (compose (compose a b) (compose g a))) % 10.83/11.10 (compose (compose $_1180 (compose a b)) (compose g a))) % 10.83/11.10 (compose (compose $_1180 (compose a b)) (compose g a)) = % 10.83/11.10 compose (compose $_1180 (compose a b)) (compose g a) % 10.83/11.10 |- ifeq (codomain b) (domain g) % 10.83/11.10 (ifeq (codomain $_1180) (codomain g) % 10.83/11.10 (compose $_1180 (compose (compose a b) (compose g (compose a b)))) % 10.83/11.10 (compose (compose $_1180 (compose a b)) (compose g (compose a b)))) % 10.83/11.10 (compose (compose $_1180 (compose a b)) (compose g (compose a b))) = % 10.83/11.10 compose (compose $_1180 (compose a b)) (compose g (compose a b)) % 10.83/11.10 |- ifeq (codomain b) (domain g) % 10.83/11.10 (ifeq (codomain $_1180) (codomain g) % 10.83/11.10 (compose $_1180 (compose (compose a b) (compose h a))) % 10.83/11.10 (compose (compose $_1180 (compose a b)) (compose h a))) % 10.83/11.10 (compose (compose $_1180 (compose a b)) (compose h a)) = % 10.83/11.10 compose (compose $_1180 (compose a b)) (compose h a) % 10.83/11.10 |- ifeq (codomain b) (codomain $X) % 10.83/11.10 (compose g (compose (compose a b) (codomain $X))) % 10.83/11.10 (compose (compose g (compose a b)) (codomain $X)) = % 10.83/11.10 compose (compose g (compose a b)) (codomain $X) % 10.83/11.10 |- ifeq (codomain b) (codomain g) % 10.83/11.10 (compose g (compose (compose a b) (compose a b))) % 10.83/11.10 (compose (compose g (compose a b)) (compose a b)) = % 10.83/11.10 compose (compose g (compose a b)) (compose a b) % 10.83/11.10 |- ifeq (codomain b) (domain g) % 10.83/11.10 (compose g (compose (compose a b) (compose g a))) % 10.83/11.10 (compose (compose g (compose a b)) (compose g a)) = % 10.83/11.10 compose (compose g (compose a b)) (compose g a) % 10.83/11.10 |- ifeq (codomain b) (domain g) % 10.83/11.10 (compose g (compose (compose a b) (compose g (compose a b)))) % 10.83/11.10 (compose (compose g (compose a b)) (compose g (compose a b))) = % 10.83/11.10 compose (compose g (compose a b)) (compose g (compose a b)) % 10.83/11.10 |- ifeq (codomain b) (domain g) % 10.83/11.10 (compose g (compose (compose a b) (compose h a))) % 10.83/11.10 (compose (compose g (compose a b)) (compose h a)) = % 10.83/11.10 compose (compose g (compose a b)) (compose h a) % 10.83/11.10 |- ifeq (codomain b) (domain $X) % 10.83/11.10 (compose g (compose (compose a b) (domain $X))) % 10.83/11.10 (compose (compose g (compose a b)) (domain $X)) = % 10.83/11.10 compose (compose g (compose a b)) (domain $X) % 10.83/11.10 |- ifeq (codomain b) (domain g) % 10.83/11.10 (ifeq (domain (compose (compose a b) (compose g a))) (codomain g) % 10.83/11.10 (compose (compose a b) (compose g a)) % 10.83/11.10 (compose % 10.83/11.10 (compose (domain (compose (compose a b) (compose g a))) % 10.83/11.10 (compose a b)) (compose g a))) % 10.83/11.10 (compose % 10.83/11.10 (compose (domain (compose (compose a b) (compose g a))) % 10.83/11.10 (compose a b)) (compose g a)) = % 10.83/11.10 compose % 10.83/11.10 (compose (domain (compose (compose a b) (compose g a))) (compose a b)) % 10.83/11.10 (compose g a) % 10.83/11.10 |- ifeq (codomain b) (domain g) % 10.83/11.10 (ifeq (codomain $_1) (codomain g) % 10.83/11.10 (compose (codomain $_1) (compose (compose a b) (compose g a))) % 10.83/11.10 (compose (compose (codomain $_1) (compose a b)) (compose g a))) % 10.83/11.10 (compose (compose (codomain $_1) (compose a b)) (compose g a)) = % 10.83/11.10 compose (compose (codomain $_1) (compose a b)) (compose g a) % 10.83/11.10 |- ifeq (codomain b) (domain g) % 10.83/11.10 (ifeq (codomain b) (codomain g) % 10.83/11.10 (compose (compose a b) (compose (compose a b) (compose g a))) % 10.83/11.10 (compose (compose (compose a b) (compose a b)) (compose g a))) % 10.83/11.10 (compose (compose (compose a b) (compose a b)) (compose g a)) = % 10.83/11.10 compose (compose (compose a b) (compose a b)) (compose g a) % 10.83/11.10 |- ifeq (codomain b) (domain g) % 10.83/11.10 (ifeq (codomain b) (codomain g) % 10.83/11.10 (compose (compose g (compose a b)) % 10.83/11.10 (compose (compose a b) (compose g a))) % 10.83/11.10 (compose (compose (compose g (compose a b)) (compose a b)) % 10.83/11.10 (compose g a))) % 10.83/11.10 (compose (compose (compose g (compose a b)) (compose a b)) % 10.83/11.10 (compose g a)) = % 10.83/11.10 compose (compose (compose g (compose a b)) (compose a b)) (compose g a) % 10.83/11.10 |- ifeq (codomain b) (domain g) % 10.83/11.10 (ifeq (codomain a) (codomain g) % 10.83/11.10 (compose (compose h a) (compose (compose a b) (compose g a))) % 10.83/11.10 (compose (compose (compose h a) (compose a b)) (compose g a))) % 10.83/11.10 (compose (compose (compose h a) (compose a b)) (compose g a)) = % 10.83/11.10 compose (compose (compose h a) (compose a b)) (compose g a) % 10.83/11.10 |- ifeq (codomain b) (domain g) % 10.83/11.10 (ifeq (domain $X) (codomain g) % 10.83/11.10 (compose (domain $X) (compose (compose a b) (compose g a))) % 10.83/11.10 (compose (compose (domain $X) (compose a b)) (compose g a))) % 10.83/11.10 (compose (compose (domain $X) (compose a b)) (compose g a)) = % 10.83/11.10 compose (compose (domain $X) (compose a b)) (compose g a) % 10.83/11.10 |- ifeq (codomain b) (domain g) % 10.83/11.10 (ifeq (domain (compose (compose a b) (compose h a))) (codomain g) % 10.83/11.10 (compose (compose a b) (compose h a)) % 10.83/11.10 (compose % 10.83/11.10 (compose (domain (compose (compose a b) (compose h a))) % 10.83/11.10 (compose a b)) (compose h a))) % 10.83/11.10 (compose % 10.83/11.10 (compose (domain (compose (compose a b) (compose h a))) % 10.83/11.10 (compose a b)) (compose h a)) = % 10.83/11.10 compose % 10.83/11.10 (compose (domain (compose (compose a b) (compose h a))) (compose a b)) % 10.83/11.10 (compose h a) % 10.83/11.10 |- ifeq (codomain b) (domain g) % 10.83/11.10 (ifeq (codomain $_1) (codomain g) % 10.83/11.10 (compose (codomain $_1) (compose (compose a b) (compose h a))) % 10.83/11.10 (compose (compose (codomain $_1) (compose a b)) (compose h a))) % 10.83/11.10 (compose (compose (codomain $_1) (compose a b)) (compose h a)) = % 10.83/11.10 compose (compose (codomain $_1) (compose a b)) (compose h a) % 10.83/11.10 |- ifeq (codomain b) (domain g) % 10.83/11.10 (ifeq (domain $X) (codomain g) % 10.83/11.10 (compose (domain $X) (compose (compose a b) (compose h a))) % 10.83/11.10 (compose (compose (domain $X) (compose a b)) (compose h a))) % 10.83/11.10 (compose (compose (domain $X) (compose a b)) (compose h a)) = % 10.83/11.10 compose (compose (domain $X) (compose a b)) (compose h a) % 10.83/11.10 |- ifeq (codomain b) (codomain $X) % 10.83/11.10 (ifeq (domain (compose (compose a b) (codomain $X))) (codomain g) % 10.83/11.10 (compose (compose a b) (codomain $X)) % 10.83/11.10 (compose % 10.83/11.10 (compose (domain (compose (compose a b) (codomain $X))) % 10.83/11.10 (compose a b)) (codomain $X))) % 10.83/11.10 (compose % 10.83/11.10 (compose (domain (compose (compose a b) (codomain $X))) % 10.83/11.10 (compose a b)) (codomain $X)) = % 10.83/11.10 compose % 10.83/11.10 (compose (domain (compose (compose a b) (codomain $X))) (compose a b)) % 10.83/11.10 (codomain $X) % 10.83/11.10 |- ifeq (codomain b) (codomain g) % 10.83/11.10 (ifeq (domain (compose (compose a b) (compose a b))) (codomain g) % 10.83/11.10 (compose (compose a b) (compose a b)) % 10.83/11.10 (compose % 10.83/11.10 (compose (domain (compose (compose a b) (compose a b))) % 10.83/11.10 (compose a b)) (compose a b))) % 10.83/11.10 (compose % 10.83/11.10 (compose (domain (compose (compose a b) (compose a b))) % 10.83/11.10 (compose a b)) (compose a b)) = % 10.83/11.10 compose % 10.83/11.10 (compose (domain (compose (compose a b) (compose a b))) (compose a b)) % 10.83/11.10 (compose a b) % 10.83/11.10 |- ifeq (codomain b) (domain g) % 10.83/11.10 (ifeq (domain (compose (compose a b) (compose g (compose a b)))) % 10.83/11.10 (codomain g) (compose (compose a b) (compose g (compose a b))) % 10.83/11.10 (compose % 10.83/11.10 (compose % 10.83/11.10 (domain (compose (compose a b) (compose g (compose a b)))) % 10.83/11.10 (compose a b)) (compose g (compose a b)))) % 10.83/11.10 (compose % 10.83/11.10 (compose (domain (compose (compose a b) (compose g (compose a b)))) % 10.83/11.10 (compose a b)) (compose g (compose a b))) = % 10.83/11.10 compose % 10.83/11.10 (compose (domain (compose (compose a b) (compose g (compose a b)))) % 10.83/11.10 (compose a b)) (compose g (compose a b)) % 10.83/11.10 |- ifeq (codomain b) (domain $X) % 10.83/11.10 (ifeq (domain (compose (compose a b) (domain $X))) (codomain g) % 10.83/11.10 (compose (compose a b) (domain $X)) % 10.83/11.10 (compose % 10.83/11.10 (compose (domain (compose (compose a b) (domain $X))) % 10.83/11.10 (compose a b)) (domain $X))) % 10.83/11.10 (compose % 10.83/11.10 (compose (domain (compose (compose a b) (domain $X))) % 10.83/11.10 (compose a b)) (domain $X)) = % 10.83/11.10 compose % 10.83/11.10 (compose (domain (compose (compose a b) (domain $X))) (compose a b)) % 10.83/11.10 (domain $X) % 10.83/11.10 |- ifeq (codomain a) (domain $_1189) % 10.83/11.10 (ifeq (domain (compose (compose g a) $_1189)) (domain g) % 10.83/11.10 (compose (compose g a) $_1189) % 10.83/11.10 (compose % 10.83/11.10 (compose (domain (compose (compose g a) $_1189)) (compose g a)) % 10.83/11.10 $_1189)) % 10.83/11.10 (compose % 10.83/11.10 (compose (domain (compose (compose g a) $_1189)) (compose g a)) % 10.83/11.10 $_1189) = % 10.83/11.10 compose (compose (domain (compose (compose g a) $_1189)) (compose g a)) % 10.83/11.10 $_1189 % 10.83/11.10 |- ifeq (codomain a) (codomain g) % 10.83/11.10 (ifeq (codomain $_1188) (domain g) % 10.83/11.10 (compose $_1188 (compose (compose g a) (compose a b))) % 10.83/11.10 (compose (compose $_1188 (compose g a)) (compose a b))) % 10.83/11.10 (compose (compose $_1188 (compose g a)) (compose a b)) = % 10.83/11.10 compose (compose $_1188 (compose g a)) (compose a b) % 10.83/11.10 |- ifeq (codomain a) (domain g) % 10.83/11.10 (ifeq (codomain $_1188) (domain g) % 10.83/11.10 (compose $_1188 (compose (compose g a) (compose g a))) % 10.83/11.10 (compose (compose $_1188 (compose g a)) (compose g a))) % 10.83/11.10 (compose (compose $_1188 (compose g a)) (compose g a)) = % 10.83/11.10 compose (compose $_1188 (compose g a)) (compose g a) % 10.83/11.10 |- ifeq (codomain a) (domain g) % 10.83/11.10 (ifeq (codomain $_1188) (domain g) % 10.83/11.10 (compose $_1188 (compose (compose g a) (compose g (compose a b)))) % 10.83/11.10 (compose (compose $_1188 (compose g a)) (compose g (compose a b)))) % 10.83/11.10 (compose (compose $_1188 (compose g a)) (compose g (compose a b))) = % 10.83/11.10 compose (compose $_1188 (compose g a)) (compose g (compose a b)) % 10.83/11.10 |- ifeq (codomain a) (domain g) % 10.83/11.10 (ifeq (codomain $_1188) (domain g) % 10.83/11.10 (compose $_1188 (compose (compose g a) (compose h a))) % 10.83/11.10 (compose (compose $_1188 (compose g a)) (compose h a))) % 10.83/11.10 (compose (compose $_1188 (compose g a)) (compose h a)) = % 10.83/11.10 compose (compose $_1188 (compose g a)) (compose h a) % 10.83/11.10 |- ifeq (codomain a) (codomain g) % 10.83/11.10 (ifeq (domain (compose (compose g a) (compose a b))) (domain g) % 10.83/11.10 (compose (compose g a) (compose a b)) % 10.83/11.10 (compose % 10.83/11.10 (compose (domain (compose (compose g a) (compose a b))) % 10.83/11.10 (compose g a)) (compose a b))) % 10.83/11.10 (compose % 10.83/11.10 (compose (domain (compose (compose g a) (compose a b))) % 10.83/11.10 (compose g a)) (compose a b)) = % 10.83/11.10 compose % 10.83/11.10 (compose (domain (compose (compose g a) (compose a b))) (compose g a)) % 10.83/11.10 (compose a b) % 10.83/11.10 |- ifeq (codomain a) (codomain g) % 10.83/11.10 (ifeq (codomain $_1) (domain g) % 10.83/11.10 (compose (codomain $_1) (compose (compose g a) (compose a b))) % 10.83/11.10 (compose (compose (codomain $_1) (compose g a)) (compose a b))) % 10.83/11.10 (compose (compose (codomain $_1) (compose g a)) (compose a b)) = % 10.83/11.10 compose (compose (codomain $_1) (compose g a)) (compose a b) % 10.83/11.10 |- ifeq (codomain a) (codomain g) % 10.83/11.10 (ifeq (codomain b) (domain g) % 10.83/11.10 (compose (compose g (compose a b)) % 10.83/11.10 (compose (compose g a) (compose a b))) % 10.83/11.10 (compose (compose (compose g (compose a b)) (compose g a)) % 10.83/11.10 (compose a b))) % 10.83/11.10 (compose (compose (compose g (compose a b)) (compose g a)) % 10.83/11.10 (compose a b)) = % 10.83/11.10 compose (compose (compose g (compose a b)) (compose g a)) (compose a b) % 10.83/11.10 |- ifeq (codomain a) (codomain g) % 10.83/11.10 (ifeq (domain $X) (domain g) % 10.83/11.10 (compose (domain $X) (compose (compose g a) (compose a b))) % 10.83/11.10 (compose (compose (domain $X) (compose g a)) (compose a b))) % 10.83/11.10 (compose (compose (domain $X) (compose g a)) (compose a b)) = % 10.83/11.10 compose (compose (domain $X) (compose g a)) (compose a b) % 10.83/11.10 |- ifeq (codomain a) (domain g) % 10.83/11.10 (ifeq (domain (compose (compose g a) (compose h a))) (domain g) % 10.83/11.10 (compose (compose g a) (compose h a)) % 10.83/11.10 (compose % 10.83/11.10 (compose (domain (compose (compose g a) (compose h a))) % 10.83/11.10 (compose g a)) (compose h a))) % 10.83/11.10 (compose % 10.83/11.10 (compose (domain (compose (compose g a) (compose h a))) % 10.83/11.10 (compose g a)) (compose h a)) = % 10.83/11.10 compose % 10.83/11.10 (compose (domain (compose (compose g a) (compose h a))) (compose g a)) % 10.83/11.10 (compose h a) % 10.83/11.10 |- ifeq (codomain a) (domain g) % 10.83/11.10 (ifeq (codomain $_1) (domain g) % 10.83/11.10 (compose (codomain $_1) (compose (compose g a) (compose h a))) % 10.83/11.10 (compose (compose (codomain $_1) (compose g a)) (compose h a))) % 10.83/11.10 (compose (compose (codomain $_1) (compose g a)) (compose h a)) = % 10.83/11.10 compose (compose (codomain $_1) (compose g a)) (compose h a) % 10.83/11.10 |- ifeq (codomain a) (domain g) % 10.83/11.10 (ifeq (domain $X) (domain g) % 10.83/11.10 (compose (domain $X) (compose (compose g a) (compose h a))) % 10.83/11.10 (compose (compose (domain $X) (compose g a)) (compose h a))) % 10.83/11.10 (compose (compose (domain $X) (compose g a)) (compose h a)) = % 10.83/11.10 compose (compose (domain $X) (compose g a)) (compose h a) % 10.83/11.11 |- ifeq (codomain a) (domain $_1195) % 10.83/11.11 (ifeq (domain (compose (compose h a) $_1195)) (domain g) % 10.83/11.11 (compose (compose h a) $_1195) % 10.83/11.11 (compose % 10.83/11.11 (compose (domain (compose (compose h a) $_1195)) (compose h a)) % 10.83/11.11 $_1195)) % 10.83/11.11 (compose % 10.83/11.11 (compose (domain (compose (compose h a) $_1195)) (compose h a)) % 10.83/11.11 $_1195) = % 10.83/11.11 compose (compose (domain (compose (compose h a) $_1195)) (compose h a)) % 10.83/11.11 $_1195 % 10.83/11.11 |- ifeq (codomain a) (codomain g) % 10.83/11.11 (ifeq (codomain $_1194) (domain g) % 10.83/11.11 (compose $_1194 (compose (compose h a) (compose a b))) % 10.83/11.11 (compose (compose $_1194 (compose h a)) (compose a b))) % 10.83/11.11 (compose (compose $_1194 (compose h a)) (compose a b)) = % 10.83/11.11 compose (compose $_1194 (compose h a)) (compose a b) % 10.83/11.11 |- ifeq (codomain a) (domain g) % 10.83/11.11 (ifeq (codomain $_1194) (domain g) % 10.83/11.11 (compose $_1194 (compose (compose h a) (compose g a))) % 10.83/11.11 (compose (compose $_1194 (compose h a)) (compose g a))) % 10.83/11.11 (compose (compose $_1194 (compose h a)) (compose g a)) = % 10.83/11.11 compose (compose $_1194 (compose h a)) (compose g a) % 10.83/11.11 |- ifeq (codomain a) (domain g) % 10.83/11.11 (ifeq (codomain $_1194) (domain g) % 10.83/11.11 (compose $_1194 (compose (compose h a) (compose g (compose a b)))) % 10.83/11.11 (compose (compose $_1194 (compose h a)) (compose g (compose a b)))) % 10.83/11.11 (compose (compose $_1194 (compose h a)) (compose g (compose a b))) = % 10.83/11.11 compose (compose $_1194 (compose h a)) (compose g (compose a b)) % 10.83/11.11 |- ifeq (codomain a) (domain g) % 10.83/11.11 (ifeq (codomain $_1194) (domain g) % 10.83/11.11 (compose $_1194 (compose (compose h a) (compose h a))) % 10.83/11.11 (compose (compose $_1194 (compose h a)) (compose h a))) % 10.83/11.11 (compose (compose $_1194 (compose h a)) (compose h a)) = % 10.83/11.11 compose (compose $_1194 (compose h a)) (compose h a) % 10.83/11.11 |- ifeq (codomain a) (codomain g) % 10.83/11.11 (ifeq (domain (compose (compose h a) (compose a b))) (domain g) % 10.83/11.11 (compose (compose h a) (compose a b)) % 10.83/11.11 (compose % 10.83/11.11 (compose (domain (compose (compose h a) (compose a b))) % 10.83/11.11 (compose h a)) (compose a b))) % 10.83/11.11 (compose % 10.83/11.11 (compose (domain (compose (compose h a) (compose a b))) % 10.83/11.11 (compose h a)) (compose a b)) = % 10.83/11.11 compose % 10.83/11.11 (compose (domain (compose (compose h a) (compose a b))) (compose h a)) % 10.83/11.11 (compose a b) % 10.83/11.11 |- ifeq (codomain a) (codomain g) % 10.83/11.11 (ifeq (codomain $_1) (domain g) % 10.83/11.11 (compose (codomain $_1) (compose (compose h a) (compose a b))) % 10.83/11.11 (compose (compose (codomain $_1) (compose h a)) (compose a b))) % 10.83/11.11 (compose (compose (codomain $_1) (compose h a)) (compose a b)) = % 10.83/11.11 compose (compose (codomain $_1) (compose h a)) (compose a b) % 10.83/11.11 |- ifeq (codomain a) (codomain g) % 10.83/11.11 (ifeq (codomain a) (domain g) % 10.83/11.11 (compose (compose g a) (compose (compose h a) (compose a b))) % 10.83/11.11 (compose (compose (compose g a) (compose h a)) (compose a b))) % 10.83/11.11 (compose (compose (compose g a) (compose h a)) (compose a b)) = % 10.83/11.11 compose (compose (compose g a) (compose h a)) (compose a b) % 10.83/11.11 |- ifeq (codomain a) (codomain g) % 10.83/11.11 (ifeq (codomain b) (domain g) % 10.83/11.11 (compose (compose g (compose a b)) % 10.83/11.11 (compose (compose h a) (compose a b))) % 10.83/11.11 (compose (compose (compose g (compose a b)) (compose h a)) % 10.83/11.11 (compose a b))) % 10.83/11.11 (compose (compose (compose g (compose a b)) (compose h a)) % 10.83/11.11 (compose a b)) = % 10.83/11.11 compose (compose (compose g (compose a b)) (compose h a)) (compose a b) % 10.83/11.11 |- ifeq (codomain a) (codomain g) % 10.83/11.11 (ifeq (domain $X) (domain g) % 10.83/11.11 (compose (domain $X) (compose (compose h a) (compose a b))) % 10.83/11.11 (compose (compose (domain $X) (compose h a)) (compose a b))) % 10.83/11.11 (compose (compose (domain $X) (compose h a)) (compose a b)) = % 10.83/11.11 compose (compose (domain $X) (compose h a)) (compose a b) % 10.83/11.11 |- ifeq (codomain a) (domain g) % 10.83/11.11 (ifeq (domain (compose (compose h a) (compose h a))) (domain g) % 10.83/11.11 (compose (compose h a) (compose h a)) % 10.83/11.11 (compose % 10.83/11.11 (compose (domain (compose (compose h a) (compose h a))) % 10.83/11.11 (compose h a)) (compose h a))) % 10.83/11.11 (compose % 10.83/11.11 (compose (domain (compose (compose h a) (compose h a))) % 10.83/11.11 (compose h a)) (compose h a)) = % 10.83/11.11 compose % 10.83/11.11 (compose (domain (compose (compose h a) (compose h a))) (compose h a)) % 10.83/11.11 (compose h a) % 10.83/11.11 |- ifeq (codomain a) (domain g) % 10.83/11.11 (ifeq (codomain $_1) (domain g) % 10.83/11.11 (compose (codomain $_1) (compose (compose h a) (compose h a))) % 10.83/11.11 (compose (compose (codomain $_1) (compose h a)) (compose h a))) % 10.83/11.11 (compose (compose (codomain $_1) (compose h a)) (compose h a)) = % 10.83/11.11 compose (compose (codomain $_1) (compose h a)) (compose h a) % 10.83/11.11 |- ifeq (codomain a) (domain g) % 10.83/11.11 (ifeq (domain $X) (domain g) % 10.83/11.11 (compose (domain $X) (compose (compose h a) (compose h a))) % 10.83/11.11 (compose (compose (domain $X) (compose h a)) (compose h a))) % 10.83/11.11 (compose (compose (domain $X) (compose h a)) (compose h a)) = % 10.83/11.11 compose (compose (domain $X) (compose h a)) (compose h a) % 10.83/11.11 |- ifeq (codomain a) (domain g) % 10.83/11.11 (ifeq (domain (compose (compose h a) (compose g (compose a b)))) % 10.83/11.11 (domain g) (compose (compose h a) (compose g (compose a b))) % 10.83/11.11 (compose % 10.83/11.11 (compose % 10.83/11.11 (domain (compose (compose h a) (compose g (compose a b)))) % 10.83/11.11 (compose h a)) (compose g (compose a b)))) % 10.83/11.11 (compose % 10.83/11.11 (compose (domain (compose (compose h a) (compose g (compose a b)))) % 10.83/11.11 (compose h a)) (compose g (compose a b))) = % 10.83/11.11 compose % 10.83/11.11 (compose (domain (compose (compose h a) (compose g (compose a b)))) % 10.83/11.11 (compose h a)) (compose g (compose a b)) % 10.83/11.11 |- ifeq (codomain a) (domain g) % 10.83/11.11 (ifeq (codomain $_1) (domain g) % 10.83/11.11 (compose (codomain $_1) % 10.83/11.11 (compose (compose h a) (compose g (compose a b)))) % 10.83/11.11 (compose (compose (codomain $_1) (compose h a)) % 10.83/11.11 (compose g (compose a b)))) % 10.83/11.11 (compose (compose (codomain $_1) (compose h a)) % 10.83/11.11 (compose g (compose a b))) = % 10.83/11.11 compose (compose (codomain $_1) (compose h a)) (compose g (compose a b)) % 10.83/11.11 |- ifeq (codomain a) (domain g) % 10.83/11.11 (ifeq (codomain a) (domain g) % 10.83/11.11 (compose (compose g a) % 10.83/11.11 (compose (compose h a) (compose g (compose a b)))) % 10.83/11.11 (compose (compose (compose g a) (compose h a)) % 10.83/11.11 (compose g (compose a b)))) % 10.83/11.11 (compose (compose (compose g a) (compose h a)) % 10.83/11.11 (compose g (compose a b))) = % 10.83/11.11 compose (compose (compose g a) (compose h a)) (compose g (compose a b)) % 10.83/11.11 |- ifeq (codomain a) (domain g) % 10.83/11.11 (ifeq (codomain b) (domain g) % 10.83/11.11 (compose (compose g (compose a b)) % 10.83/11.11 (compose (compose h a) (compose g (compose a b)))) % 10.83/11.11 (compose (compose (compose g (compose a b)) (compose h a)) % 10.83/11.11 (compose g (compose a b)))) % 10.83/11.11 (compose (compose (compose g (compose a b)) (compose h a)) % 10.83/11.11 (compose g (compose a b))) = % 10.83/11.11 compose (compose (compose g (compose a b)) (compose h a)) % 10.83/11.11 (compose g (compose a b)) % 10.83/11.11 |- ifeq (codomain a) (domain g) % 10.83/11.11 (ifeq (domain $X) (domain g) % 10.83/11.11 (compose (domain $X) % 10.83/11.11 (compose (compose h a) (compose g (compose a b)))) % 10.83/11.11 (compose (compose (domain $X) (compose h a)) % 10.83/11.11 (compose g (compose a b)))) % 10.83/11.11 (compose (compose (domain $X) (compose h a)) % 10.83/11.11 (compose g (compose a b))) = % 10.83/11.11 compose (compose (domain $X) (compose h a)) (compose g (compose a b)) % 10.83/11.11 |- ifeq (codomain a) (domain g) % 10.83/11.11 (ifeq (codomain g) (domain g) % 10.83/11.11 (compose h (compose (compose h a) (compose g (compose a b)))) % 10.83/11.11 (compose (compose h (compose h a)) (compose g (compose a b)))) % 10.83/11.11 (compose (compose h (compose h a)) (compose g (compose a b))) = % 10.83/11.11 compose (compose h (compose h a)) (compose g (compose a b)) % 10.83/11.11 |- ifeq (codomain a) (codomain $X) % 10.83/11.11 (ifeq (domain (compose (compose h a) (codomain $X))) (domain g) % 10.83/11.11 (compose (compose h a) (codomain $X)) % 10.83/11.11 (compose % 10.83/11.11 (compose (domain (compose (compose h a) (codomain $X))) % 10.83/11.11 (compose h a)) (codomain $X))) % 10.83/11.11 (compose % 10.83/11.11 (compose (domain (compose (compose h a) (codomain $X))) % 10.83/11.11 (compose h a)) (codomain $X)) = % 10.83/11.11 compose % 10.83/11.11 (compose (domain (compose (compose h a) (codomain $X))) (compose h a)) % 10.83/11.11 (codomain $X) % 10.83/11.11 |- ifeq (codomain a) (domain g) % 10.83/11.11 (ifeq (domain (compose (compose h a) (compose g a))) (domain g) % 10.83/11.11 (compose (compose h a) (compose g a)) % 10.83/11.11 (compose % 10.83/11.11 (compose (domain (compose (compose h a) (compose g a))) % 10.83/11.11 (compose h a)) (compose g a))) % 10.83/11.11 (compose % 10.83/11.11 (compose (domain (compose (compose h a) (compose g a))) % 10.83/11.11 (compose h a)) (compose g a)) = % 10.83/11.11 compose % 10.83/11.11 (compose (domain (compose (compose h a) (compose g a))) (compose h a)) % 10.83/11.11 (compose g a) % 10.83/11.11 |- ifeq (codomain a) (domain $X) % 10.83/11.11 (ifeq (domain (compose (compose h a) (domain $X))) (domain g) % 10.83/11.11 (compose (compose h a) (domain $X)) % 10.83/11.11 (compose % 10.83/11.11 (compose (domain (compose (compose h a) (domain $X))) % 10.83/11.11 (compose h a)) (domain $X))) % 10.83/11.11 (compose % 10.83/11.11 (compose (domain (compose (compose h a) (domain $X))) % 10.83/11.11 (compose h a)) (domain $X)) = % 10.83/11.11 compose % 10.83/11.11 (compose (domain (compose (compose h a) (domain $X))) (compose h a)) % 10.83/11.11 (domain $X) % 10.83/11.11 |- ifeq (codomain a) (domain g) % 10.83/11.11 (ifeq (codomain $_1) (domain g) % 10.83/11.11 (compose (codomain $_1) (compose (compose h a) (compose g a))) % 10.83/11.11 (compose (compose (codomain $_1) (compose h a)) (compose g a))) % 10.83/11.11 (compose (compose (codomain $_1) (compose h a)) (compose g a)) = % 10.83/11.11 compose (compose (codomain $_1) (compose h a)) (compose g a) % 10.83/11.11 |- ifeq (codomain a) (domain g) % 10.83/11.11 (ifeq (codomain b) (domain g) % 10.83/11.11 (compose (compose g (compose a b)) % 10.83/11.11 (compose (compose h a) (compose g a))) % 10.83/11.11 (compose (compose (compose g (compose a b)) (compose h a)) % 10.83/11.11 (compose g a))) % 10.83/11.11 (compose (compose (compose g (compose a b)) (compose h a)) % 10.83/11.11 (compose g a)) = % 10.83/11.11 compose (compose (compose g (compose a b)) (compose h a)) (compose g a) % 10.83/11.11 |- ifeq (codomain a) (domain g) % 10.83/11.11 (ifeq (domain $X) (domain g) % 10.83/11.11 (compose (domain $X) (compose (compose h a) (compose g a))) % 10.83/11.11 (compose (compose (domain $X) (compose h a)) (compose g a))) % 10.83/11.11 (compose (compose (domain $X) (compose h a)) (compose g a)) = % 10.83/11.11 compose (compose (domain $X) (compose h a)) (compose g a) % 10.83/11.11 |- compose (compose $_1201 g) (compose a b) = % 10.83/11.11 ifeq (codomain $_1201) (domain g) % 10.83/11.11 (compose $_1201 (compose g (compose a b))) % 10.83/11.11 (compose (compose $_1201 g) (compose a b)) % 10.83/11.11 |- ifeq (codomain $_1202) (codomain g) % 10.83/11.11 (ifeq (domain (compose $_1202 (compose a b))) (domain $_1202) % 10.83/11.11 (compose $_1202 (compose a b)) % 10.83/11.11 (compose (compose (domain (compose $_1202 (compose a b))) $_1202) % 10.83/11.11 (compose a b))) % 10.83/11.11 (compose (compose (domain (compose $_1202 (compose a b))) $_1202) % 10.83/11.11 (compose a b)) = % 10.83/11.11 compose (compose (domain (compose $_1202 (compose a b))) $_1202) % 10.83/11.11 (compose a b) % 10.83/11.11 |- ifeq (codomain b) (codomain g) % 10.83/11.11 (ifeq (codomain $_1201) (domain g) % 10.83/11.11 (compose $_1201 (compose (compose g (compose a b)) (compose a b))) % 10.83/11.11 (compose (compose $_1201 (compose g (compose a b))) (compose a b))) % 10.83/11.11 (compose (compose $_1201 (compose g (compose a b))) (compose a b)) = % 10.83/11.11 compose (compose $_1201 (compose g (compose a b))) (compose a b) % 10.83/11.11 |- compose (compose (codomain $_1) g) (compose a b) = % 10.83/11.11 ifeq (codomain $_1) (domain g) % 10.83/11.11 (compose (codomain $_1) (compose g (compose a b))) % 10.83/11.11 (compose (compose (codomain $_1) g) (compose a b)) % 10.83/11.11 |- compose (compose (compose g a) g) (compose a b) = % 10.83/11.11 ifeq (codomain a) (domain g) % 10.83/11.11 (compose (compose g a) (compose g (compose a b))) % 10.83/11.11 (compose (compose (compose g a) g) (compose a b)) % 10.83/11.11 |- compose (compose (compose g (compose a b)) g) (compose a b) = % 10.83/11.11 ifeq (codomain b) (domain g) % 10.83/11.11 (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.11 (compose (compose (compose g (compose a b)) g) (compose a b)) % 10.83/11.11 |- compose (compose (domain $X) g) (compose a b) = % 10.83/11.11 ifeq (domain $X) (domain g) % 10.83/11.11 (compose (domain $X) (compose g (compose a b))) % 10.83/11.11 (compose (compose (domain $X) g) (compose a b)) % 10.83/11.12 |- ifeq (codomain $X) (codomain g) % 10.83/11.12 (ifeq (domain (compose (codomain $X) (compose a b))) (codomain $X) % 10.83/11.12 (compose (codomain $X) (compose a b)) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose (codomain $X) (compose a b))) % 10.83/11.12 (codomain $X)) (compose a b))) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose (codomain $X) (compose a b))) % 10.83/11.12 (codomain $X)) (compose a b)) = % 10.83/11.12 compose % 10.83/11.12 (compose (domain (compose (codomain $X) (compose a b))) (codomain $X)) % 10.83/11.12 (compose a b) % 10.83/11.12 |- ifeq (codomain b) (codomain g) % 10.83/11.12 (ifeq (domain (compose (compose g (compose a b)) (compose a b))) % 10.83/11.12 (domain g) (compose (compose g (compose a b)) (compose a b)) % 10.83/11.12 (compose % 10.83/11.12 (compose % 10.83/11.12 (domain (compose (compose g (compose a b)) (compose a b))) % 10.83/11.12 (compose g (compose a b))) (compose a b))) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose (compose g (compose a b)) (compose a b))) % 10.83/11.12 (compose g (compose a b))) (compose a b)) = % 10.83/11.12 compose % 10.83/11.12 (compose (domain (compose (compose g (compose a b)) (compose a b))) % 10.83/11.12 (compose g (compose a b))) (compose a b) % 10.83/11.12 |- ifeq (domain $X) (codomain g) % 10.83/11.12 (ifeq (domain (compose (domain $X) (compose a b))) (domain $X) % 10.83/11.12 (compose (domain $X) (compose a b)) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose (domain $X) (compose a b))) % 10.83/11.12 (domain $X)) (compose a b))) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose (domain $X) (compose a b))) (domain $X)) % 10.83/11.12 (compose a b)) = % 10.83/11.12 compose % 10.83/11.12 (compose (domain (compose (domain $X) (compose a b))) (domain $X)) % 10.83/11.12 (compose a b) % 10.83/11.12 |- ifeq (codomain $_1208) (domain g) % 10.83/11.12 (ifeq (domain (compose $_1208 (compose g a))) (domain $_1208) % 10.83/11.12 (compose $_1208 (compose g a)) % 10.83/11.12 (compose (compose (domain (compose $_1208 (compose g a))) $_1208) % 10.83/11.12 (compose g a))) % 10.83/11.12 (compose (compose (domain (compose $_1208 (compose g a))) $_1208) % 10.83/11.12 (compose g a)) = % 10.83/11.12 compose (compose (domain (compose $_1208 (compose g a))) $_1208) % 10.83/11.12 (compose g a) % 10.83/11.12 |- ifeq (codomain b) (domain g) % 10.83/11.12 (ifeq (codomain $_1207) (domain g) % 10.83/11.12 (compose $_1207 (compose (compose g (compose a b)) (compose g a))) % 10.83/11.12 (compose (compose $_1207 (compose g (compose a b))) (compose g a))) % 10.83/11.12 (compose (compose $_1207 (compose g (compose a b))) (compose g a)) = % 10.83/11.12 compose (compose $_1207 (compose g (compose a b))) (compose g a) % 10.83/11.12 |- ifeq (codomain $X) (domain g) % 10.83/11.12 (ifeq (domain (compose (codomain $X) (compose g a))) (codomain $X) % 10.83/11.12 (compose (codomain $X) (compose g a)) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose (codomain $X) (compose g a))) % 10.83/11.12 (codomain $X)) (compose g a))) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose (codomain $X) (compose g a))) % 10.83/11.12 (codomain $X)) (compose g a)) = % 10.83/11.12 compose % 10.83/11.12 (compose (domain (compose (codomain $X) (compose g a))) (codomain $X)) % 10.83/11.12 (compose g a) % 10.83/11.12 |- ifeq (codomain a) (domain g) % 10.83/11.12 (ifeq (domain (compose (compose g a) (compose g a))) (domain g) % 10.83/11.12 (compose (compose g a) (compose g a)) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose (compose g a) (compose g a))) % 10.83/11.12 (compose g a)) (compose g a))) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose (compose g a) (compose g a))) % 10.83/11.12 (compose g a)) (compose g a)) = % 10.83/11.12 compose % 10.83/11.12 (compose (domain (compose (compose g a) (compose g a))) (compose g a)) % 10.83/11.12 (compose g a) % 10.83/11.12 |- ifeq (codomain b) (domain g) % 10.83/11.12 (ifeq (domain (compose (compose g (compose a b)) (compose g a))) % 10.83/11.12 (domain g) (compose (compose g (compose a b)) (compose g a)) % 10.83/11.12 (compose % 10.83/11.12 (compose % 10.83/11.12 (domain (compose (compose g (compose a b)) (compose g a))) % 10.83/11.12 (compose g (compose a b))) (compose g a))) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose (compose g (compose a b)) (compose g a))) % 10.83/11.12 (compose g (compose a b))) (compose g a)) = % 10.83/11.12 compose % 10.83/11.12 (compose (domain (compose (compose g (compose a b)) (compose g a))) % 10.83/11.12 (compose g (compose a b))) (compose g a) % 10.83/11.12 |- ifeq (domain $X) (domain g) % 10.83/11.12 (ifeq (domain (compose (domain $X) (compose g a))) (domain $X) % 10.83/11.12 (compose (domain $X) (compose g a)) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose (domain $X) (compose g a))) % 10.83/11.12 (domain $X)) (compose g a))) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose (domain $X) (compose g a))) (domain $X)) % 10.83/11.12 (compose g a)) = % 10.83/11.12 compose % 10.83/11.12 (compose (domain (compose (domain $X) (compose g a))) (domain $X)) % 10.83/11.12 (compose g a) % 10.83/11.12 |- ifeq (codomain $_1211) (domain g) % 10.83/11.12 (ifeq (domain (compose $_1211 (compose h a))) (domain $_1211) % 10.83/11.12 (compose $_1211 (compose h a)) % 10.83/11.12 (compose (compose (domain (compose $_1211 (compose h a))) $_1211) % 10.83/11.12 (compose h a))) % 10.83/11.12 (compose (compose (domain (compose $_1211 (compose h a))) $_1211) % 10.83/11.12 (compose h a)) = % 10.83/11.12 compose (compose (domain (compose $_1211 (compose h a))) $_1211) % 10.83/11.12 (compose h a) % 10.83/11.12 |- ifeq (codomain b) (domain g) % 10.83/11.12 (ifeq (codomain $_1210) (domain g) % 10.83/11.12 (compose $_1210 (compose (compose g (compose a b)) (compose h a))) % 10.83/11.12 (compose (compose $_1210 (compose g (compose a b))) (compose h a))) % 10.83/11.12 (compose (compose $_1210 (compose g (compose a b))) (compose h a)) = % 10.83/11.12 compose (compose $_1210 (compose g (compose a b))) (compose h a) % 10.83/11.12 |- ifeq (codomain b) (domain g) % 10.83/11.12 (ifeq (domain (compose (compose g (compose a b)) (compose h a))) % 10.83/11.12 (domain g) (compose (compose g (compose a b)) (compose h a)) % 10.83/11.12 (compose % 10.83/11.12 (compose % 10.83/11.12 (domain (compose (compose g (compose a b)) (compose h a))) % 10.83/11.12 (compose g (compose a b))) (compose h a))) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose (compose g (compose a b)) (compose h a))) % 10.83/11.12 (compose g (compose a b))) (compose h a)) = % 10.83/11.12 compose % 10.83/11.12 (compose (domain (compose (compose g (compose a b)) (compose h a))) % 10.83/11.12 (compose g (compose a b))) (compose h a) % 10.83/11.12 |- ifeq (codomain b) (domain g) % 10.83/11.12 (ifeq (codomain $_1) (domain g) % 10.83/11.12 (compose (codomain $_1) % 10.83/11.12 (compose (compose g (compose a b)) (compose h a))) % 10.83/11.12 (compose (compose (codomain $_1) (compose g (compose a b))) % 10.83/11.12 (compose h a))) % 10.83/11.12 (compose (compose (codomain $_1) (compose g (compose a b))) % 10.83/11.12 (compose h a)) = % 10.83/11.12 compose (compose (codomain $_1) (compose g (compose a b))) (compose h a) % 10.83/11.12 |- ifeq (codomain b) (domain g) % 10.83/11.12 (ifeq (domain $X) (domain g) % 10.83/11.12 (compose (domain $X) % 10.83/11.12 (compose (compose g (compose a b)) (compose h a))) % 10.83/11.12 (compose (compose (domain $X) (compose g (compose a b))) % 10.83/11.12 (compose h a))) % 10.83/11.12 (compose (compose (domain $X) (compose g (compose a b))) % 10.83/11.12 (compose h a)) = % 10.83/11.12 compose (compose (domain $X) (compose g (compose a b))) (compose h a) % 10.83/11.12 |- ifeq (codomain $X) (domain g) % 10.83/11.12 (ifeq (domain (compose (codomain $X) (compose h a))) (codomain $X) % 10.83/11.12 (compose (codomain $X) (compose h a)) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose (codomain $X) (compose h a))) % 10.83/11.12 (codomain $X)) (compose h a))) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose (codomain $X) (compose h a))) % 10.83/11.12 (codomain $X)) (compose h a)) = % 10.83/11.12 compose % 10.83/11.12 (compose (domain (compose (codomain $X) (compose h a))) (codomain $X)) % 10.83/11.12 (compose h a) % 10.83/11.12 |- ifeq (domain $X) (domain g) % 10.83/11.12 (ifeq (domain (compose (domain $X) (compose h a))) (domain $X) % 10.83/11.12 (compose (domain $X) (compose h a)) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose (domain $X) (compose h a))) % 10.83/11.12 (domain $X)) (compose h a))) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose (domain $X) (compose h a))) (domain $X)) % 10.83/11.12 (compose h a)) = % 10.83/11.12 compose % 10.83/11.12 (compose (domain (compose (domain $X) (compose h a))) (domain $X)) % 10.83/11.12 (compose h a) % 10.83/11.12 |- ifeq (codomain b) (domain g) % 10.83/11.12 (ifeq (codomain b) (codomain a) % 10.83/11.12 (compose (compose g (compose a b)) % 10.83/11.12 (compose b (compose g (compose a b)))) % 10.83/11.12 (compose (compose (compose g (compose a b)) b) % 10.83/11.12 (compose g (compose a b)))) % 10.83/11.12 (compose (compose (compose g (compose a b)) b) % 10.83/11.12 (compose g (compose a b))) = % 10.83/11.12 compose (compose (compose g (compose a b)) b) (compose g (compose a b)) % 10.83/11.12 |- ifeq (codomain b) (domain $X) % 10.83/11.12 (ifeq (codomain b) (codomain a) % 10.83/11.12 (compose (compose g (compose a b)) (compose b (domain $X))) % 10.83/11.12 (compose (compose (compose g (compose a b)) b) (domain $X))) % 10.83/11.12 (compose (compose (compose g (compose a b)) b) (domain $X)) = % 10.83/11.12 compose (compose (compose g (compose a b)) b) (domain $X) % 10.83/11.12 |- ifeq (codomain b) (codomain g) % 10.83/11.12 (ifeq (codomain $_1) (codomain g) % 10.83/11.12 (compose (codomain $_1) (compose (compose a b) (compose a b))) % 10.83/11.12 (compose (compose (codomain $_1) (compose a b)) (compose a b))) % 10.83/11.12 (compose (compose (codomain $_1) (compose a b)) (compose a b)) = % 10.83/11.12 compose (compose (codomain $_1) (compose a b)) (compose a b) % 10.83/11.12 |- ifeq (codomain b) (codomain g) % 10.83/11.12 (ifeq (codomain b) (codomain g) % 10.83/11.12 (compose (compose g (compose a b)) % 10.83/11.12 (compose (compose a b) (compose a b))) % 10.83/11.12 (compose (compose (compose g (compose a b)) (compose a b)) % 10.83/11.12 (compose a b))) % 10.83/11.12 (compose (compose (compose g (compose a b)) (compose a b)) % 10.83/11.12 (compose a b)) = % 10.83/11.12 compose (compose (compose g (compose a b)) (compose a b)) (compose a b) % 10.83/11.12 |- ifeq (codomain b) (codomain g) % 10.83/11.12 (ifeq (domain $X) (codomain g) % 10.83/11.12 (compose (domain $X) (compose (compose a b) (compose a b))) % 10.83/11.12 (compose (compose (domain $X) (compose a b)) (compose a b))) % 10.83/11.12 (compose (compose (domain $X) (compose a b)) (compose a b)) = % 10.83/11.12 compose (compose (domain $X) (compose a b)) (compose a b) % 10.83/11.12 |- ifeq (codomain a) (codomain g) % 10.83/11.12 (ifeq (codomain b) (domain g) % 10.83/11.12 (compose (compose g (compose a b)) (compose (compose g a) a)) % 10.83/11.12 (compose (compose (compose g (compose a b)) (compose g a)) a)) % 10.83/11.12 (compose (compose (compose g (compose a b)) (compose g a)) a) = % 10.83/11.12 compose (compose (compose g (compose a b)) (compose g a)) a % 10.83/11.12 |- ifeq (codomain $X) (domain g) % 10.83/11.12 (ifeq (codomain a) (codomain $X) % 10.83/11.12 (compose (compose g a) % 10.83/11.12 (compose (codomain $X) (compose g (compose a b)))) % 10.83/11.12 (compose (compose (compose g a) (codomain $X)) % 10.83/11.12 (compose g (compose a b)))) % 10.83/11.12 (compose (compose (compose g a) (codomain $X)) % 10.83/11.12 (compose g (compose a b))) = % 10.83/11.12 compose (compose (compose g a) (codomain $X)) (compose g (compose a b)) % 10.83/11.12 |- ifeq (codomain b) (domain g) % 10.83/11.12 (ifeq (codomain a) (domain g) % 10.83/11.12 (compose (compose g a) % 10.83/11.12 (compose (compose g (compose a b)) (compose g (compose a b)))) % 10.83/11.12 (compose (compose (compose g a) (compose g (compose a b))) % 10.83/11.12 (compose g (compose a b)))) % 10.83/11.12 (compose (compose (compose g a) (compose g (compose a b))) % 10.83/11.12 (compose g (compose a b))) = % 10.83/11.12 compose (compose (compose g a) (compose g (compose a b))) % 10.83/11.12 (compose g (compose a b)) % 10.83/11.12 |- ifeq (domain $X) (domain g) % 10.83/11.12 (ifeq (codomain a) (domain $X) % 10.83/11.12 (compose (compose g a) % 10.83/11.12 (compose (domain $X) (compose g (compose a b)))) % 10.83/11.12 (compose (compose (compose g a) (domain $X)) % 10.83/11.12 (compose g (compose a b)))) % 10.83/11.12 (compose (compose (compose g a) (domain $X)) % 10.83/11.12 (compose g (compose a b))) = % 10.83/11.12 compose (compose (compose g a) (domain $X)) (compose g (compose a b)) % 10.83/11.12 |- ifeq (codomain a) (codomain $X) % 10.83/11.12 (ifeq (codomain $_1236) (codomain g) % 10.83/11.12 (compose (codomain $_1236) (compose a (codomain $X))) % 10.83/11.12 (compose (compose (codomain $_1236) a) (codomain $X))) % 10.83/11.12 (compose (compose (codomain $_1236) a) (codomain $X)) = % 10.83/11.12 compose (compose (codomain $_1236) a) (codomain $X) % 10.83/11.12 |- ifeq (codomain a) (domain g) % 10.83/11.12 (ifeq (codomain $_1236) (codomain g) % 10.83/11.12 (compose (codomain $_1236) (compose a (compose g (compose a b)))) % 10.83/11.12 (compose (compose (codomain $_1236) a) (compose g (compose a b)))) % 10.83/11.12 (compose (compose (codomain $_1236) a) (compose g (compose a b))) = % 10.83/11.12 compose (compose (codomain $_1236) a) (compose g (compose a b)) % 10.83/11.12 |- ifeq (codomain a) (domain $X) % 10.83/11.12 (ifeq (codomain $_1236) (codomain g) % 10.83/11.12 (compose (codomain $_1236) (compose a (domain $X))) % 10.83/11.12 (compose (compose (codomain $_1236) a) (domain $X))) % 10.83/11.12 (compose (compose (codomain $_1236) a) (domain $X)) = % 10.83/11.12 compose (compose (codomain $_1236) a) (domain $X) % 10.83/11.12 |- ifeq (codomain a) (codomain $X) % 10.83/11.12 (ifeq (domain $_1238) (codomain g) % 10.83/11.12 (compose (domain $_1238) (compose a (codomain $X))) % 10.83/11.12 (compose (compose (domain $_1238) a) (codomain $X))) % 10.83/11.12 (compose (compose (domain $_1238) a) (codomain $X)) = % 10.83/11.12 compose (compose (domain $_1238) a) (codomain $X) % 10.83/11.12 |- ifeq (codomain a) (domain g) % 10.83/11.12 (ifeq (domain $_1238) (codomain g) % 10.83/11.12 (compose (domain $_1238) (compose a (compose g (compose a b)))) % 10.83/11.12 (compose (compose (domain $_1238) a) (compose g (compose a b)))) % 10.83/11.12 (compose (compose (domain $_1238) a) (compose g (compose a b))) = % 10.83/11.12 compose (compose (domain $_1238) a) (compose g (compose a b)) % 10.83/11.12 |- ifeq (codomain a) (domain $X) % 10.83/11.12 (ifeq (domain $_1238) (codomain g) % 10.83/11.12 (compose (domain $_1238) (compose a (domain $X))) % 10.83/11.12 (compose (compose (domain $_1238) a) (domain $X))) % 10.83/11.12 (compose (compose (domain $_1238) a) (domain $X)) = % 10.83/11.12 compose (compose (domain $_1238) a) (domain $X) % 10.83/11.12 |- ifeq (codomain b) (domain $_1248) % 10.83/11.12 (ifeq (domain (compose (compose g (compose a b)) $_1248)) (domain g) % 10.83/11.12 (compose (compose g (compose a b)) $_1248) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose (compose g (compose a b)) $_1248)) % 10.83/11.12 (compose g (compose a b))) $_1248)) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose (compose g (compose a b)) $_1248)) % 10.83/11.12 (compose g (compose a b))) $_1248) = % 10.83/11.12 compose % 10.83/11.12 (compose (domain (compose (compose g (compose a b)) $_1248)) % 10.83/11.12 (compose g (compose a b))) $_1248 % 10.83/11.12 |- ifeq (codomain $_1247) (domain g) % 10.83/11.12 (ifeq (domain (compose $_1247 (compose g (compose a b)))) % 10.83/11.12 (domain $_1247) (compose $_1247 (compose g (compose a b))) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose $_1247 (compose g (compose a b)))) % 10.83/11.12 $_1247) (compose g (compose a b)))) % 10.83/11.12 (compose % 10.83/11.12 (compose (domain (compose $_1247 (compose g (compose a b)))) % 10.83/11.12 $_1247) (compose g (compose a b))) = % 10.83/11.12 compose % 10.83/11.12 (compose (domain (compose $_1247 (compose g (compose a b)))) $_1247) % 10.83/11.12 (compose g (compose a b)) % 10.83/11.12 |- ifeq (codomain $_1249) (codomain $X) % 10.83/11.12 (ifeq (codomain g) (codomain $_1249) % 10.83/11.12 (compose h (compose (codomain $_1249) (codomain $X))) % 10.83/11.12 (compose (compose h (codomain $_1249)) (codomain $X))) % 10.83/11.12 (compose (compose h (codomain $_1249)) (codomain $X)) = % 10.83/11.12 compose (compose h (codomain $_1249)) (codomain $X) % 10.83/11.12 |- ifeq (codomain $_1249) (domain g) % 10.83/11.12 (ifeq (codomain g) (codomain $_1249) % 10.83/11.12 (compose h (compose (codomain $_1249) (compose g (compose a b)))) % 10.83/11.12 (compose (compose h (codomain $_1249)) (compose g (compose a b)))) % 10.83/11.12 (compose (compose h (codomain $_1249)) (compose g (compose a b))) = % 10.83/11.12 compose (compose h (codomain $_1249)) (compose g (compose a b)) % 10.83/11.13 |- ifeq (codomain $_1249) (domain $X) % 10.83/11.13 (ifeq (codomain g) (codomain $_1249) % 10.83/11.13 (compose h (compose (codomain $_1249) (domain $X))) % 10.83/11.13 (compose (compose h (codomain $_1249)) (domain $X))) % 10.83/11.13 (compose (compose h (codomain $_1249)) (domain $X)) = % 10.83/11.13 compose (compose h (codomain $_1249)) (domain $X) % 10.83/11.13 |- ifeq (codomain b) (codomain $_1251) % 10.83/11.13 (ifeq (codomain g) (domain g) % 10.83/11.13 (compose h (compose (compose g (compose a b)) (codomain $_1251))) % 10.83/11.13 (compose (compose h (compose g (compose a b))) (codomain $_1251))) % 10.83/11.13 (compose (compose h (compose g (compose a b))) (codomain $_1251)) = % 10.83/11.13 compose (compose h (compose g (compose a b))) (codomain $_1251) % 10.83/11.13 |- ifeq (codomain a) (codomain $_1251) % 10.83/11.13 (ifeq (codomain g) (domain g) % 10.83/11.13 (compose h (compose (compose h a) (codomain $_1251))) % 10.83/11.13 (compose (compose h (compose h a)) (codomain $_1251))) % 10.83/11.13 (compose (compose h (compose h a)) (codomain $_1251)) = % 10.83/11.13 compose (compose h (compose h a)) (codomain $_1251) % 10.83/11.13 |- ifeq (domain $X) (codomain $_1251) % 10.83/11.13 (ifeq (codomain g) (domain $X) % 10.83/11.13 (compose h (compose (domain $X) (codomain $_1251))) % 10.83/11.13 (compose (compose h (domain $X)) (codomain $_1251))) % 10.83/11.13 (compose (compose h (domain $X)) (codomain $_1251)) = % 10.83/11.13 compose (compose h (domain $X)) (codomain $_1251) % 10.83/11.13 |- ifeq (codomain b) % 10.83/11.13 (codomain (compose (compose a b) (compose g (compose a b)))) % 10.83/11.13 (ifeq (codomain b) (domain g) % 10.83/11.13 (compose (compose a b) % 10.83/11.13 (compose (compose g (compose a b)) % 10.83/11.13 (codomain % 10.83/11.13 (compose (compose a b) (compose g (compose a b)))))) % 10.83/11.13 (compose (compose a b) (compose g (compose a b)))) % 10.83/11.13 (compose (compose a b) (compose g (compose a b))) = % 10.83/11.13 compose (compose a b) (compose g (compose a b)) % 10.83/11.13 |- ifeq (codomain b) (codomain $X) % 10.83/11.13 (ifeq (codomain b) (domain g) % 10.83/11.13 (compose (compose a b) % 10.83/11.13 (compose (compose g (compose a b)) (codomain $X))) % 10.83/11.13 (compose (compose (compose a b) (compose g (compose a b))) % 10.83/11.13 (codomain $X))) % 10.83/11.13 (compose (compose (compose a b) (compose g (compose a b))) % 10.83/11.13 (codomain $X)) = % 10.83/11.13 compose (compose (compose a b) (compose g (compose a b))) (codomain $X) % 10.83/11.13 |- ifeq (codomain b) (domain g) % 10.83/11.13 (ifeq (codomain b) (domain g) % 10.83/11.13 (compose (compose a b) % 10.83/11.13 (compose (compose g (compose a b)) (compose g a))) % 10.83/11.13 (compose (compose (compose a b) (compose g (compose a b))) % 10.83/11.13 (compose g a))) % 10.83/11.13 (compose (compose (compose a b) (compose g (compose a b))) % 10.83/11.13 (compose g a)) = % 10.83/11.13 compose (compose (compose a b) (compose g (compose a b))) (compose g a) % 10.83/11.13 |- ifeq (codomain b) (domain g) % 10.83/11.13 (ifeq (codomain b) (domain g) % 10.83/11.13 (compose (compose a b) % 10.83/11.13 (compose (compose g (compose a b)) (compose g (compose a b)))) % 10.83/11.13 (compose (compose (compose a b) (compose g (compose a b))) % 10.83/11.13 (compose g (compose a b)))) % 10.83/11.13 (compose (compose (compose a b) (compose g (compose a b))) % 10.83/11.13 (compose g (compose a b))) = % 10.83/11.13 compose (compose (compose a b) (compose g (compose a b))) % 10.83/11.13 (compose g (compose a b)) % 10.83/11.13 |- ifeq (codomain b) (domain $X) % 10.83/11.13 (ifeq (codomain b) (domain g) % 10.83/11.13 (compose (compose a b) % 10.83/11.13 (compose (compose g (compose a b)) (domain $X))) % 10.83/11.13 (compose (compose (compose a b) (compose g (compose a b))) % 10.83/11.13 (domain $X))) % 10.83/11.13 (compose (compose (compose a b) (compose g (compose a b))) % 10.83/11.13 (domain $X)) = % 10.83/11.13 compose (compose (compose a b) (compose g (compose a b))) (domain $X) % 10.83/11.13 |- ifeq (codomain $X) (domain g) % 10.83/11.13 (ifeq (codomain b) (codomain $X) % 10.83/11.13 (compose (compose a b) % 10.83/11.13 (compose (codomain $X) (compose g (compose a b)))) % 10.83/11.13 (compose (compose (compose a b) (codomain $X)) % 10.83/11.13 (compose g (compose a b)))) % 10.83/11.13 (compose (compose (compose a b) (codomain $X)) % 10.83/11.13 (compose g (compose a b))) = % 10.83/11.13 compose (compose (compose a b) (codomain $X)) (compose g (compose a b)) % 10.83/11.13 |- ifeq (codomain b) (domain g) % 10.83/11.13 (ifeq (codomain b) (codomain g) % 10.83/11.13 (compose (compose a b) % 10.83/11.13 (compose (compose a b) (compose g (compose a b)))) % 10.83/11.13 (compose (compose (compose a b) (compose a b)) % 10.83/11.13 (compose g (compose a b)))) % 10.83/11.13 (compose (compose (compose a b) (compose a b)) % 10.83/11.13 (compose g (compose a b))) = % 10.83/11.13 compose (compose (compose a b) (compose a b)) (compose g (compose a b)) % 10.83/11.13 |- ifeq (domain $X) (domain g) % 10.83/11.13 (ifeq (codomain b) (domain $X) % 10.83/11.13 (compose (compose a b) % 10.83/11.13 (compose (domain $X) (compose g (compose a b)))) % 10.83/11.13 (compose (compose (compose a b) (domain $X)) % 10.83/11.13 (compose g (compose a b)))) % 10.83/11.13 (compose (compose (compose a b) (domain $X)) % 10.83/11.13 (compose g (compose a b))) = % 10.83/11.13 compose (compose (compose a b) (domain $X)) (compose g (compose a b)) % 10.83/11.13 |- ifeq (codomain b) (codomain $X) % 10.83/11.13 (ifeq (codomain a) (domain g) % 10.83/11.13 (compose (compose h a) % 10.83/11.13 (compose (compose g (compose a b)) (codomain $X))) % 10.83/11.13 (compose (compose (compose h a) (compose g (compose a b))) % 10.83/11.13 (codomain $X))) % 10.83/11.13 (compose (compose (compose h a) (compose g (compose a b))) % 10.83/11.13 (codomain $X)) = % 10.83/11.13 compose (compose (compose h a) (compose g (compose a b))) (codomain $X) % 10.83/11.13 |- ifeq (codomain b) (domain g) % 10.83/11.13 (ifeq (codomain a) (domain g) % 10.83/11.13 (compose (compose h a) % 10.83/11.13 (compose (compose g (compose a b)) (compose g a))) % 10.83/11.13 (compose (compose (compose h a) (compose g (compose a b))) % 10.83/11.13 (compose g a))) % 10.83/11.13 (compose (compose (compose h a) (compose g (compose a b))) % 10.83/11.13 (compose g a)) = % 10.83/11.13 compose (compose (compose h a) (compose g (compose a b))) (compose g a) % 10.83/11.13 |- ifeq (codomain b) (domain g) % 10.83/11.13 (ifeq (codomain a) (domain g) % 10.83/11.13 (compose (compose h a) % 10.83/11.13 (compose (compose g (compose a b)) (compose g (compose a b)))) % 10.83/11.13 (compose (compose (compose h a) (compose g (compose a b))) % 10.83/11.13 (compose g (compose a b)))) % 10.83/11.13 (compose (compose (compose h a) (compose g (compose a b))) % 10.83/11.13 (compose g (compose a b))) = % 10.83/11.13 compose (compose (compose h a) (compose g (compose a b))) % 10.83/11.13 (compose g (compose a b)) % 10.83/11.13 |- ifeq (codomain b) (domain $X) % 10.83/11.13 (ifeq (codomain a) (domain g) % 10.83/11.13 (compose (compose h a) % 10.83/11.13 (compose (compose g (compose a b)) (domain $X))) % 10.83/11.13 (compose (compose (compose h a) (compose g (compose a b))) % 10.83/11.13 (domain $X))) % 10.83/11.13 (compose (compose (compose h a) (compose g (compose a b))) % 10.83/11.13 (domain $X)) = % 10.83/11.13 compose (compose (compose h a) (compose g (compose a b))) (domain $X) % 10.83/11.13 |- ifeq (codomain $X) (domain g) % 10.83/11.13 (ifeq (codomain a) (codomain $X) % 10.83/11.13 (compose (compose h a) % 10.83/11.13 (compose (codomain $X) (compose g (compose a b)))) % 10.83/11.13 (compose (compose (compose h a) (codomain $X)) % 10.83/11.13 (compose g (compose a b)))) % 10.83/11.13 (compose (compose (compose h a) (codomain $X)) % 10.83/11.13 (compose g (compose a b))) = % 10.83/11.13 compose (compose (compose h a) (codomain $X)) (compose g (compose a b)) % 10.83/11.13 |- ifeq (codomain b) (domain g) % 10.83/11.13 (ifeq (codomain a) (codomain g) % 10.83/11.13 (compose (compose h a) % 10.83/11.13 (compose (compose a b) (compose g (compose a b)))) % 10.83/11.13 (compose (compose (compose h a) (compose a b)) % 10.83/11.13 (compose g (compose a b)))) % 10.83/11.13 (compose (compose (compose h a) (compose a b)) % 10.83/11.13 (compose g (compose a b))) = % 10.83/11.13 compose (compose (compose h a) (compose a b)) (compose g (compose a b)) % 10.83/11.13 |- ifeq (domain $X) (domain g) % 10.83/11.13 (ifeq (codomain a) (domain $X) % 10.83/11.13 (compose (compose h a) % 10.83/11.13 (compose (domain $X) (compose g (compose a b)))) % 10.83/11.13 (compose (compose (compose h a) (domain $X)) % 10.83/11.13 (compose g (compose a b)))) % 10.83/11.13 (compose (compose (compose h a) (domain $X)) % 10.83/11.13 (compose g (compose a b))) = % 10.83/11.13 compose (compose (compose h a) (domain $X)) (compose g (compose a b)) % 10.83/11.13 |- ifeq (codomain b) (domain g) % 10.83/11.13 (ifeq (codomain g) (domain g) % 10.83/11.13 (compose h % 10.83/11.13 (compose (compose g (compose a b)) (compose g (compose a b)))) % 10.83/11.13 (compose (compose h (compose g (compose a b))) % 10.83/11.13 (compose g (compose a b)))) % 10.83/11.13 (compose (compose h (compose g (compose a b))) % 10.83/11.13 (compose g (compose a b))) = % 10.83/11.13 compose (compose h (compose g (compose a b))) (compose g (compose a b)) % 10.83/11.13 |- ifeq (codomain b) (domain $X) % 10.83/11.13 (ifeq (codomain g) (domain g) % 10.83/11.13 (compose h (compose (compose g (compose a b)) (domain $X))) % 10.83/11.13 (compose (compose h (compose g (compose a b))) (domain $X))) % 10.83/11.13 (compose (compose h (compose g (compose a b))) (domain $X)) = % 10.83/11.13 compose (compose h (compose g (compose a b))) (domain $X) % 10.83/11.13 |- ifeq (domain $X) (domain g) % 10.83/11.13 (ifeq (codomain g) (domain $X) % 10.83/11.13 (compose h (compose (domain $X) (compose g (compose a b)))) % 10.83/11.13 (compose (compose h (domain $X)) (compose g (compose a b)))) % 10.83/11.13 (compose (compose h (domain $X)) (compose g (compose a b))) = % 10.83/11.13 compose (compose h (domain $X)) (compose g (compose a b)) % 10.83/11.13 |- ifeq (codomain $_1281) % 10.83/11.13 (codomain (compose (codomain $_1) (codomain $_1281))) % 10.83/11.13 (ifeq (codomain $_1) (codomain $_1281) % 10.83/11.13 (compose (codomain $_1) % 10.83/11.13 (compose (codomain $_1281) % 10.83/11.13 (codomain (compose (codomain $_1) (codomain $_1281))))) % 10.83/11.13 (compose (codomain $_1) (codomain $_1281))) % 10.83/11.13 (compose (codomain $_1) (codomain $_1281)) = % 10.83/11.13 compose (codomain $_1) (codomain $_1281) % 10.83/11.13 |- ifeq (codomain $_1281) % 10.83/11.13 (codomain (compose (compose a b) (codomain $_1281))) % 10.83/11.13 (ifeq (codomain b) (codomain $_1281) % 10.83/11.13 (compose (compose a b) % 10.83/11.13 (compose (codomain $_1281) % 10.83/11.13 (codomain (compose (compose a b) (codomain $_1281))))) % 10.83/11.13 (compose (compose a b) (codomain $_1281))) % 10.83/11.13 (compose (compose a b) (codomain $_1281)) = % 10.83/11.13 compose (compose a b) (codomain $_1281) % 10.83/11.13 |- ifeq (codomain $_1281) % 10.83/11.13 (codomain (compose (compose g (compose a b)) (codomain $_1281))) % 10.83/11.13 (ifeq (codomain b) (codomain $_1281) % 10.83/11.13 (compose (compose g (compose a b)) % 10.83/11.13 (compose (codomain $_1281) % 10.83/11.13 (codomain % 10.83/11.13 (compose (compose g (compose a b)) (codomain $_1281))))) % 10.83/11.13 (compose (compose g (compose a b)) (codomain $_1281))) % 10.83/11.13 (compose (compose g (compose a b)) (codomain $_1281)) = % 10.83/11.13 compose (compose g (compose a b)) (codomain $_1281) % 10.83/11.13 |- ifeq (codomain $_1281) % 10.83/11.13 (codomain (compose (domain $X) (codomain $_1281))) % 10.83/11.13 (ifeq (domain $X) (codomain $_1281) % 10.83/11.13 (compose (domain $X) % 10.83/11.13 (compose (codomain $_1281) % 10.83/11.13 (codomain (compose (domain $X) (codomain $_1281))))) % 10.83/11.13 (compose (domain $X) (codomain $_1281))) % 10.83/11.13 (compose (domain $X) (codomain $_1281)) = % 10.83/11.13 compose (domain $X) (codomain $_1281) % 10.83/11.13 |- ifeq (codomain b) % 10.83/11.13 (codomain (compose (codomain $_1283) (compose g (compose a b)))) % 10.83/11.13 (ifeq (codomain $_1283) (domain g) % 10.83/11.13 (compose (codomain $_1283) % 10.83/11.13 (compose (compose g (compose a b)) % 10.83/11.13 (codomain % 10.83/11.13 (compose (codomain $_1283) (compose g (compose a b)))))) % 10.83/11.13 (compose (codomain $_1283) (compose g (compose a b)))) % 10.83/11.13 (compose (codomain $_1283) (compose g (compose a b))) = % 10.83/11.13 compose (codomain $_1283) (compose g (compose a b)) % 10.83/11.13 |- ifeq (domain $X) (codomain (compose (codomain $_1283) (domain $X))) % 10.83/11.13 (ifeq (codomain $_1283) (domain $X) % 10.83/11.13 (compose (codomain $_1283) % 10.83/11.13 (compose (domain $X) % 10.83/11.13 (codomain (compose (codomain $_1283) (domain $X))))) % 10.83/11.13 (compose (codomain $_1283) (domain $X))) % 10.83/11.13 (compose (codomain $_1283) (domain $X)) = % 10.83/11.13 compose (codomain $_1283) (domain $X) % 10.83/11.13 |- ifeq (codomain a) (domain g) % 10.83/11.13 (ifeq (domain (compose (compose g a) (compose g (compose a b)))) % 10.83/11.13 (domain g) (compose (compose g a) (compose g (compose a b))) % 10.83/11.13 (compose % 10.83/11.13 (compose % 10.83/11.13 (domain (compose (compose g a) (compose g (compose a b)))) % 10.83/11.13 (compose g a)) (compose g (compose a b)))) % 10.83/11.13 (compose % 10.83/11.13 (compose (domain (compose (compose g a) (compose g (compose a b)))) % 10.83/11.13 (compose g a)) (compose g (compose a b))) = % 10.83/11.13 compose % 10.83/11.13 (compose (domain (compose (compose g a) (compose g (compose a b)))) % 10.83/11.13 (compose g a)) (compose g (compose a b)) % 10.83/11.13 |- ifeq (codomain a) (domain g) % 10.83/11.13 (ifeq (codomain $_1) (domain g) % 10.83/11.13 (compose (codomain $_1) % 10.83/11.13 (compose (compose g a) (compose g (compose a b)))) % 10.83/11.13 (compose (compose (codomain $_1) (compose g a)) % 10.83/11.13 (compose g (compose a b)))) % 10.83/11.13 (compose (compose (codomain $_1) (compose g a)) % 10.83/11.13 (compose g (compose a b))) = % 10.83/11.13 compose (compose (codomain $_1) (compose g a)) (compose g (compose a b)) % 10.83/11.13 |- ifeq (codomain a) (domain g) % 10.83/11.13 (ifeq (codomain b) (domain g) % 10.83/11.13 (compose (compose g (compose a b)) % 10.83/11.13 (compose (compose g a) (compose g (compose a b)))) % 10.83/11.13 (compose (compose (compose g (compose a b)) (compose g a)) % 10.83/11.13 (compose g (compose a b)))) % 10.83/11.13 (compose (compose (compose g (compose a b)) (compose g a)) % 10.83/11.13 (compose g (compose a b))) = % 10.83/11.13 compose (compose (compose g (compose a b)) (compose g a)) % 10.83/11.13 (compose g (compose a b)) % 10.83/11.13 |- ifeq (codomain a) (domain g) % 10.83/11.13 (ifeq (domain $X) (domain g) % 10.83/11.13 (compose (domain $X) % 10.83/11.13 (compose (compose g a) (compose g (compose a b)))) % 10.83/11.13 (compose (compose (domain $X) (compose g a)) % 10.83/11.13 (compose g (compose a b)))) % 10.83/11.13 (compose (compose (domain $X) (compose g a)) % 10.83/11.13 (compose g (compose a b))) = % 10.83/11.13 compose (compose (domain $X) (compose g a)) (compose g (compose a b)) % 10.83/11.13 |- ifeq (codomain a) (domain $X) % 10.83/11.13 (ifeq (codomain g) (domain g) % 10.83/11.13 (compose h (compose (compose h a) (domain $X))) % 10.83/11.13 (compose (compose h (compose h a)) (domain $X))) % 10.83/11.13 (compose (compose h (compose h a)) (domain $X)) = % 10.83/11.13 compose (compose h (compose h a)) (domain $X) % 10.83/11.13 |- ifeq (codomain b) (domain g) % 10.83/11.13 (ifeq (codomain $_1) (codomain g) % 10.83/11.13 (compose (codomain $_1) % 10.83/11.13 (compose (compose a b) (compose g (compose a b)))) % 10.83/11.13 (compose (compose (codomain $_1) (compose a b)) % 10.83/11.13 (compose g (compose a b)))) % 10.83/11.13 (compose (compose (codomain $_1) (compose a b)) % 10.83/11.13 (compose g (compose a b))) = % 10.83/11.13 compose (compose (codomain $_1) (compose a b)) (compose g (compose a b)) % 10.83/11.13 |- ifeq (codomain b) (domain g) % 10.83/11.13 (ifeq (codomain b) (codomain g) % 10.83/11.13 (compose (compose g (compose a b)) % 10.83/11.13 (compose (compose a b) (compose g (compose a b)))) % 10.83/11.13 (compose (compose (compose g (compose a b)) (compose a b)) % 10.83/11.13 (compose g (compose a b)))) % 10.83/11.13 (compose (compose (compose g (compose a b)) (compose a b)) % 10.83/11.13 (compose g (compose a b))) = % 10.83/11.13 compose (compose (compose g (compose a b)) (compose a b)) % 10.83/11.13 (compose g (compose a b)) % 10.83/11.13 |- ifeq (codomain b) (domain g) % 10.83/11.13 (ifeq (domain $X) (codomain g) % 10.83/11.13 (compose (domain $X) % 10.83/11.13 (compose (compose a b) (compose g (compose a b)))) % 10.83/11.13 (compose (compose (domain $X) (compose a b)) % 10.83/11.13 (compose g (compose a b)))) % 10.83/11.13 (compose (compose (domain $X) (compose a b)) % 10.83/11.13 (compose g (compose a b))) = % 10.83/11.13 compose (compose (domain $X) (compose a b)) (compose g (compose a b)) % 10.83/11.13 |- ifeq (codomain b) (codomain $X) % 10.83/11.13 (ifeq (domain (compose (compose g (compose a b)) (codomain $X))) % 10.83/11.13 (domain g) (compose (compose g (compose a b)) (codomain $X)) % 10.83/11.13 (compose % 10.83/11.13 (compose % 10.83/11.13 (domain (compose (compose g (compose a b)) (codomain $X))) % 10.83/11.13 (compose g (compose a b))) (codomain $X))) % 10.83/11.13 (compose % 10.83/11.13 (compose (domain (compose (compose g (compose a b)) (codomain $X))) % 10.83/11.13 (compose g (compose a b))) (codomain $X)) = % 10.83/11.13 compose % 10.83/11.13 (compose (domain (compose (compose g (compose a b)) (codomain $X))) % 10.83/11.13 (compose g (compose a b))) (codomain $X) % 10.83/11.14 |- ifeq (codomain b) (domain g) % 10.83/11.14 (ifeq % 10.83/11.14 (domain % 10.83/11.14 (compose (compose g (compose a b)) (compose g (compose a b)))) % 10.83/11.14 (domain g) % 10.83/11.14 (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.14 (compose % 10.83/11.14 (compose % 10.83/11.14 (domain % 10.83/11.14 (compose (compose g (compose a b)) % 10.83/11.14 (compose g (compose a b)))) (compose g (compose a b))) % 10.83/11.14 (compose g (compose a b)))) % 10.83/11.14 (compose % 10.83/11.14 (compose % 10.83/11.14 (domain % 10.83/11.14 (compose (compose g (compose a b)) % 10.83/11.14 (compose g (compose a b)))) (compose g (compose a b))) % 10.83/11.14 (compose g (compose a b))) = % 10.83/11.14 compose % 10.83/11.14 (compose % 10.83/11.14 (domain % 10.83/11.14 (compose (compose g (compose a b)) (compose g (compose a b)))) % 10.83/11.14 (compose g (compose a b))) (compose g (compose a b)) % 10.83/11.14 |- ifeq (codomain b) (domain $X) % 10.83/11.14 (ifeq (domain (compose (compose g (compose a b)) (domain $X))) % 10.83/11.14 (domain g) (compose (compose g (compose a b)) (domain $X)) % 10.83/11.14 (compose % 10.83/11.14 (compose % 10.83/11.14 (domain (compose (compose g (compose a b)) (domain $X))) % 10.83/11.14 (compose g (compose a b))) (domain $X))) % 10.83/11.14 (compose % 10.83/11.14 (compose (domain (compose (compose g (compose a b)) (domain $X))) % 10.83/11.14 (compose g (compose a b))) (domain $X)) = % 10.83/11.14 compose % 10.83/11.14 (compose (domain (compose (compose g (compose a b)) (domain $X))) % 10.83/11.14 (compose g (compose a b))) (domain $X) % 10.83/11.14 |- ifeq (codomain a) (domain g) % 10.83/11.14 (ifeq (codomain $_1) (domain g) % 10.83/11.14 (compose (codomain $_1) (compose (compose g a) (compose g a))) % 10.83/11.14 (compose (compose (codomain $_1) (compose g a)) (compose g a))) % 10.83/11.14 (compose (compose (codomain $_1) (compose g a)) (compose g a)) = % 10.83/11.14 compose (compose (codomain $_1) (compose g a)) (compose g a) % 10.83/11.14 |- ifeq (codomain a) (domain g) % 10.83/11.14 (ifeq (codomain b) (domain g) % 10.83/11.14 (compose (compose g (compose a b)) % 10.83/11.14 (compose (compose g a) (compose g a))) % 10.83/11.14 (compose (compose (compose g (compose a b)) (compose g a)) % 10.83/11.14 (compose g a))) % 10.83/11.14 (compose (compose (compose g (compose a b)) (compose g a)) % 10.83/11.14 (compose g a)) = % 10.83/11.14 compose (compose (compose g (compose a b)) (compose g a)) (compose g a) % 10.83/11.14 |- ifeq (codomain a) (domain g) % 10.83/11.14 (ifeq (domain $X) (domain g) % 10.83/11.14 (compose (domain $X) (compose (compose g a) (compose g a))) % 10.83/11.14 (compose (compose (domain $X) (compose g a)) (compose g a))) % 10.83/11.14 (compose (compose (domain $X) (compose g a)) (compose g a)) = % 10.83/11.14 compose (compose (domain $X) (compose g a)) (compose g a) % 10.83/11.14 |- ifeq (codomain b) (codomain g) % 10.83/11.14 (ifeq (codomain $_1) (domain g) % 10.83/11.14 (compose (codomain $_1) % 10.83/11.14 (compose (compose g (compose a b)) (compose a b))) % 10.83/11.14 (compose (compose (codomain $_1) (compose g (compose a b))) % 10.83/11.14 (compose a b))) % 10.83/11.14 (compose (compose (codomain $_1) (compose g (compose a b))) % 10.83/11.14 (compose a b)) = % 10.83/11.14 compose (compose (codomain $_1) (compose g (compose a b))) (compose a b) % 10.83/11.14 |- ifeq (codomain b) (codomain g) % 10.83/11.14 (ifeq (codomain a) (domain g) % 10.83/11.14 (compose (compose g a) % 10.83/11.14 (compose (compose g (compose a b)) (compose a b))) % 10.83/11.14 (compose (compose (compose g a) (compose g (compose a b))) % 10.83/11.14 (compose a b))) % 10.83/11.14 (compose (compose (compose g a) (compose g (compose a b))) % 10.83/11.14 (compose a b)) = % 10.83/11.14 compose (compose (compose g a) (compose g (compose a b))) (compose a b) % 10.83/11.14 |- ifeq (codomain b) (codomain g) % 10.83/11.14 (ifeq (codomain b) (domain g) % 10.83/11.14 (compose (compose g (compose a b)) % 10.83/11.14 (compose (compose g (compose a b)) (compose a b))) % 10.83/11.14 (compose % 10.83/11.14 (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.14 (compose a b))) % 10.83/11.14 (compose (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.14 (compose a b)) = % 10.83/11.14 compose (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.14 (compose a b) % 10.83/11.14 |- ifeq (codomain b) (codomain g) % 10.83/11.14 (ifeq (domain $X) (domain g) % 10.83/11.14 (compose (domain $X) % 10.83/11.14 (compose (compose g (compose a b)) (compose a b))) % 10.83/11.14 (compose (compose (domain $X) (compose g (compose a b))) % 10.83/11.14 (compose a b))) % 10.83/11.14 (compose (compose (domain $X) (compose g (compose a b))) % 10.83/11.14 (compose a b)) = % 10.83/11.14 compose (compose (domain $X) (compose g (compose a b))) (compose a b) % 10.83/11.14 |- ifeq (codomain $X) (codomain g) % 10.83/11.14 (ifeq (codomain a) (codomain $X) % 10.83/11.14 (compose (compose g a) (compose (codomain $X) (compose a b))) % 10.83/11.14 (compose (compose (compose g a) (codomain $X)) (compose a b))) % 10.83/11.14 (compose (compose (compose g a) (codomain $X)) (compose a b)) = % 10.83/11.14 compose (compose (compose g a) (codomain $X)) (compose a b) % 10.83/11.14 |- ifeq (domain $X) (codomain g) % 10.83/11.14 (ifeq (codomain a) (domain $X) % 10.83/11.14 (compose (compose g a) (compose (domain $X) (compose a b))) % 10.83/11.14 (compose (compose (compose g a) (domain $X)) (compose a b))) % 10.83/11.14 (compose (compose (compose g a) (domain $X)) (compose a b)) = % 10.83/11.14 compose (compose (compose g a) (domain $X)) (compose a b) % 10.83/11.14 |- ifeq (codomain $X) (domain g) % 10.83/11.14 (ifeq (codomain b) (codomain $X) % 10.83/11.14 (compose (compose a b) (compose (codomain $X) (compose g a))) % 10.83/11.14 (compose (compose (compose a b) (codomain $X)) (compose g a))) % 10.83/11.14 (compose (compose (compose a b) (codomain $X)) (compose g a)) = % 10.83/11.14 compose (compose (compose a b) (codomain $X)) (compose g a) % 10.83/11.14 |- ifeq (domain $X) (domain g) % 10.83/11.14 (ifeq (codomain b) (domain $X) % 10.83/11.14 (compose (compose a b) (compose (domain $X) (compose g a))) % 10.83/11.14 (compose (compose (compose a b) (domain $X)) (compose g a))) % 10.83/11.14 (compose (compose (compose a b) (domain $X)) (compose g a)) = % 10.83/11.14 compose (compose (compose a b) (domain $X)) (compose g a) % 10.83/11.14 |- ifeq (codomain $X) (domain g) % 10.83/11.14 (ifeq (codomain a) (codomain $X) % 10.83/11.14 (compose (compose h a) (compose (codomain $X) (compose g a))) % 10.83/11.14 (compose (compose (compose h a) (codomain $X)) (compose g a))) % 10.83/11.14 (compose (compose (compose h a) (codomain $X)) (compose g a)) = % 10.83/11.14 compose (compose (compose h a) (codomain $X)) (compose g a) % 10.83/11.14 |- ifeq (domain $X) (domain g) % 10.83/11.14 (ifeq (codomain a) (domain $X) % 10.83/11.14 (compose (compose h a) (compose (domain $X) (compose g a))) % 10.83/11.14 (compose (compose (compose h a) (domain $X)) (compose g a))) % 10.83/11.14 (compose (compose (compose h a) (domain $X)) (compose g a)) = % 10.83/11.14 compose (compose (compose h a) (domain $X)) (compose g a) % 10.83/11.14 |- ifeq (codomain b) (codomain $_1362) % 10.83/11.14 (ifeq (codomain $_1) (codomain g) % 10.83/11.14 (compose (codomain $_1) (compose (compose a b) (codomain $_1362))) % 10.83/11.14 (compose (compose (codomain $_1) (compose a b)) (codomain $_1362))) % 10.83/11.14 (compose (compose (codomain $_1) (compose a b)) (codomain $_1362)) = % 10.83/11.14 compose (compose (codomain $_1) (compose a b)) (codomain $_1362) % 10.83/11.14 |- ifeq (codomain b) (codomain $_1362) % 10.83/11.14 (ifeq (codomain b) (codomain g) % 10.83/11.14 (compose (compose a b) (compose (compose a b) (codomain $_1362))) % 10.83/11.14 (compose (compose (compose a b) (compose a b)) (codomain $_1362))) % 10.83/11.14 (compose (compose (compose a b) (compose a b)) (codomain $_1362)) = % 10.83/11.14 compose (compose (compose a b) (compose a b)) (codomain $_1362) % 10.83/11.14 |- ifeq (codomain b) (codomain $_1362) % 10.83/11.14 (ifeq (codomain b) (codomain g) % 10.83/11.14 (compose (compose g (compose a b)) % 10.83/11.14 (compose (compose a b) (codomain $_1362))) % 10.83/11.14 (compose (compose (compose g (compose a b)) (compose a b)) % 10.83/11.14 (codomain $_1362))) % 10.83/11.14 (compose (compose (compose g (compose a b)) (compose a b)) % 10.83/11.14 (codomain $_1362)) = % 10.83/11.14 compose (compose (compose g (compose a b)) (compose a b)) % 10.83/11.14 (codomain $_1362) % 10.83/11.14 |- ifeq (codomain b) (codomain $_1362) % 10.83/11.14 (ifeq (codomain a) (codomain g) % 10.83/11.14 (compose (compose h a) (compose (compose a b) (codomain $_1362))) % 10.83/11.14 (compose (compose (compose h a) (compose a b)) (codomain $_1362))) % 10.83/11.14 (compose (compose (compose h a) (compose a b)) (codomain $_1362)) = % 10.83/11.14 compose (compose (compose h a) (compose a b)) (codomain $_1362) % 10.83/11.14 |- ifeq (codomain b) (codomain $_1362) % 10.83/11.14 (ifeq (domain $X) (codomain g) % 10.83/11.14 (compose (domain $X) (compose (compose a b) (codomain $_1362))) % 10.83/11.14 (compose (compose (domain $X) (compose a b)) (codomain $_1362))) % 10.83/11.14 (compose (compose (domain $X) (compose a b)) (codomain $_1362)) = % 10.83/11.14 compose (compose (domain $X) (compose a b)) (codomain $_1362) % 10.83/11.14 |- ifeq (codomain b) (domain $X) % 10.83/11.14 (ifeq (codomain b) (codomain g) % 10.83/11.14 (compose (compose a b) (compose (compose a b) (domain $X))) % 10.83/11.14 (compose (compose (compose a b) (compose a b)) (domain $X))) % 10.83/11.14 (compose (compose (compose a b) (compose a b)) (domain $X)) = % 10.83/11.14 compose (compose (compose a b) (compose a b)) (domain $X) % 10.83/11.14 |- ifeq (codomain a) (codomain $_1365) % 10.83/11.14 (ifeq (domain (compose (compose g a) (codomain $_1365))) (domain g) % 10.83/11.14 (compose (compose g a) (codomain $_1365)) % 10.83/11.14 (compose % 10.83/11.14 (compose (domain (compose (compose g a) (codomain $_1365))) % 10.83/11.14 (compose g a)) (codomain $_1365))) % 10.83/11.14 (compose % 10.83/11.14 (compose (domain (compose (compose g a) (codomain $_1365))) % 10.83/11.14 (compose g a)) (codomain $_1365)) = % 10.83/11.14 compose % 10.83/11.14 (compose (domain (compose (compose g a) (codomain $_1365))) % 10.83/11.14 (compose g a)) (codomain $_1365) % 10.83/11.14 |- ifeq (codomain a) (codomain $_1365) % 10.83/11.14 (ifeq (codomain $_1) (domain g) % 10.83/11.14 (compose (codomain $_1) (compose (compose g a) (codomain $_1365))) % 10.83/11.14 (compose (compose (codomain $_1) (compose g a)) (codomain $_1365))) % 10.83/11.14 (compose (compose (codomain $_1) (compose g a)) (codomain $_1365)) = % 10.83/11.14 compose (compose (codomain $_1) (compose g a)) (codomain $_1365) % 10.83/11.14 |- ifeq (codomain a) (codomain $_1365) % 10.83/11.14 (ifeq (codomain b) (domain g) % 10.83/11.14 (compose (compose g (compose a b)) % 10.83/11.14 (compose (compose g a) (codomain $_1365))) % 10.83/11.14 (compose (compose (compose g (compose a b)) (compose g a)) % 10.83/11.14 (codomain $_1365))) % 10.83/11.14 (compose (compose (compose g (compose a b)) (compose g a)) % 10.83/11.14 (codomain $_1365)) = % 10.83/11.14 compose (compose (compose g (compose a b)) (compose g a)) % 10.83/11.14 (codomain $_1365) % 10.83/11.14 |- ifeq (codomain a) (codomain $_1365) % 10.83/11.14 (ifeq (domain $X) (domain g) % 10.83/11.14 (compose (domain $X) (compose (compose g a) (codomain $_1365))) % 10.83/11.14 (compose (compose (domain $X) (compose g a)) (codomain $_1365))) % 10.83/11.14 (compose (compose (domain $X) (compose g a)) (codomain $_1365)) = % 10.83/11.14 compose (compose (domain $X) (compose g a)) (codomain $_1365) % 10.83/11.14 |- ifeq (codomain a) (codomain $_1367) % 10.83/11.14 (ifeq (codomain $_1) (domain g) % 10.83/11.14 (compose (codomain $_1) (compose (compose h a) (codomain $_1367))) % 10.83/11.14 (compose (compose (codomain $_1) (compose h a)) (codomain $_1367))) % 10.83/11.14 (compose (compose (codomain $_1) (compose h a)) (codomain $_1367)) = % 10.83/11.14 compose (compose (codomain $_1) (compose h a)) (codomain $_1367) % 10.83/11.14 |- ifeq (codomain a) (codomain $_1367) % 10.83/11.14 (ifeq (codomain a) (domain g) % 10.83/11.14 (compose (compose g a) (compose (compose h a) (codomain $_1367))) % 10.83/11.14 (compose (compose (compose g a) (compose h a)) (codomain $_1367))) % 10.83/11.14 (compose (compose (compose g a) (compose h a)) (codomain $_1367)) = % 10.83/11.14 compose (compose (compose g a) (compose h a)) (codomain $_1367) % 10.83/11.14 |- ifeq (codomain a) (codomain $_1367) % 10.83/11.14 (ifeq (codomain b) (domain g) % 10.83/11.14 (compose (compose g (compose a b)) % 10.83/11.14 (compose (compose h a) (codomain $_1367))) % 10.83/11.14 (compose (compose (compose g (compose a b)) (compose h a)) % 10.83/11.14 (codomain $_1367))) % 10.83/11.14 (compose (compose (compose g (compose a b)) (compose h a)) % 10.83/11.14 (codomain $_1367)) = % 10.83/11.14 compose (compose (compose g (compose a b)) (compose h a)) % 10.83/11.14 (codomain $_1367) % 10.83/11.14 |- ifeq (codomain a) (codomain $_1367) % 10.83/11.14 (ifeq (domain $X) (domain g) % 10.83/11.14 (compose (domain $X) (compose (compose h a) (codomain $_1367))) % 10.83/11.14 (compose (compose (domain $X) (compose h a)) (codomain $_1367))) % 10.83/11.14 (compose (compose (domain $X) (compose h a)) (codomain $_1367)) = % 10.83/11.14 compose (compose (domain $X) (compose h a)) (codomain $_1367) % 10.83/11.14 |- ifeq (codomain b) (domain $_1369) % 10.83/11.14 (ifeq (codomain $_1) (codomain g) % 10.83/11.14 (compose (codomain $_1) (compose (compose a b) (domain $_1369))) % 10.83/11.14 (compose (compose (codomain $_1) (compose a b)) (domain $_1369))) % 10.83/11.14 (compose (compose (codomain $_1) (compose a b)) (domain $_1369)) = % 10.83/11.14 compose (compose (codomain $_1) (compose a b)) (domain $_1369) % 10.83/11.14 |- ifeq (codomain b) (domain $_1369) % 10.83/11.14 (ifeq (codomain b) (codomain g) % 10.83/11.14 (compose (compose g (compose a b)) % 10.83/11.14 (compose (compose a b) (domain $_1369))) % 10.83/11.14 (compose (compose (compose g (compose a b)) (compose a b)) % 10.83/11.14 (domain $_1369))) % 10.83/11.14 (compose (compose (compose g (compose a b)) (compose a b)) % 10.83/11.14 (domain $_1369)) = % 10.83/11.14 compose (compose (compose g (compose a b)) (compose a b)) % 10.83/11.14 (domain $_1369) % 10.83/11.14 |- ifeq (codomain b) (domain $_1369) % 10.83/11.14 (ifeq (codomain a) (codomain g) % 10.83/11.14 (compose (compose h a) (compose (compose a b) (domain $_1369))) % 10.83/11.14 (compose (compose (compose h a) (compose a b)) (domain $_1369))) % 10.83/11.14 (compose (compose (compose h a) (compose a b)) (domain $_1369)) = % 10.83/11.14 compose (compose (compose h a) (compose a b)) (domain $_1369) % 10.83/11.14 |- ifeq (codomain b) (domain $_1369) % 10.83/11.14 (ifeq (domain $X) (codomain g) % 10.83/11.14 (compose (domain $X) (compose (compose a b) (domain $_1369))) % 10.83/11.14 (compose (compose (domain $X) (compose a b)) (domain $_1369))) % 10.83/11.14 (compose (compose (domain $X) (compose a b)) (domain $_1369)) = % 10.83/11.14 compose (compose (domain $X) (compose a b)) (domain $_1369) % 10.83/11.14 |- ifeq (codomain a) (domain $_1372) % 10.83/11.14 (ifeq (domain (compose (compose g a) (domain $_1372))) (domain g) % 10.83/11.14 (compose (compose g a) (domain $_1372)) % 10.83/11.14 (compose % 10.83/11.14 (compose (domain (compose (compose g a) (domain $_1372))) % 10.83/11.14 (compose g a)) (domain $_1372))) % 10.83/11.14 (compose % 10.83/11.14 (compose (domain (compose (compose g a) (domain $_1372))) % 10.83/11.14 (compose g a)) (domain $_1372)) = % 10.83/11.14 compose % 10.83/11.14 (compose (domain (compose (compose g a) (domain $_1372))) % 10.83/11.14 (compose g a)) (domain $_1372) % 10.83/11.14 |- ifeq (codomain a) (domain $_1372) % 10.83/11.14 (ifeq (codomain $_1) (domain g) % 10.83/11.14 (compose (codomain $_1) (compose (compose g a) (domain $_1372))) % 10.83/11.14 (compose (compose (codomain $_1) (compose g a)) (domain $_1372))) % 10.83/11.14 (compose (compose (codomain $_1) (compose g a)) (domain $_1372)) = % 10.83/11.14 compose (compose (codomain $_1) (compose g a)) (domain $_1372) % 10.83/11.14 |- ifeq (codomain a) (domain $_1372) % 10.83/11.14 (ifeq (codomain b) (domain g) % 10.83/11.14 (compose (compose g (compose a b)) % 10.83/11.14 (compose (compose g a) (domain $_1372))) % 10.83/11.14 (compose (compose (compose g (compose a b)) (compose g a)) % 10.83/11.14 (domain $_1372))) % 10.83/11.14 (compose (compose (compose g (compose a b)) (compose g a)) % 10.83/11.14 (domain $_1372)) = % 10.83/11.14 compose (compose (compose g (compose a b)) (compose g a)) % 10.83/11.14 (domain $_1372) % 10.83/11.15 |- ifeq (codomain a) (domain $_1372) % 10.83/11.15 (ifeq (domain $X) (domain g) % 10.83/11.15 (compose (domain $X) (compose (compose g a) (domain $_1372))) % 10.83/11.15 (compose (compose (domain $X) (compose g a)) (domain $_1372))) % 10.83/11.15 (compose (compose (domain $X) (compose g a)) (domain $_1372)) = % 10.83/11.15 compose (compose (domain $X) (compose g a)) (domain $_1372) % 10.83/11.15 |- ifeq (codomain a) (domain $_1374) % 10.83/11.15 (ifeq (codomain $_1) (domain g) % 10.83/11.15 (compose (codomain $_1) (compose (compose h a) (domain $_1374))) % 10.83/11.15 (compose (compose (codomain $_1) (compose h a)) (domain $_1374))) % 10.83/11.15 (compose (compose (codomain $_1) (compose h a)) (domain $_1374)) = % 10.83/11.15 compose (compose (codomain $_1) (compose h a)) (domain $_1374) % 10.83/11.15 |- ifeq (codomain a) (domain $_1374) % 10.83/11.15 (ifeq (codomain a) (domain g) % 10.83/11.15 (compose (compose g a) (compose (compose h a) (domain $_1374))) % 10.83/11.15 (compose (compose (compose g a) (compose h a)) (domain $_1374))) % 10.83/11.15 (compose (compose (compose g a) (compose h a)) (domain $_1374)) = % 10.83/11.15 compose (compose (compose g a) (compose h a)) (domain $_1374) % 10.83/11.15 |- ifeq (codomain a) (domain $_1374) % 10.83/11.15 (ifeq (codomain b) (domain g) % 10.83/11.15 (compose (compose g (compose a b)) % 10.83/11.15 (compose (compose h a) (domain $_1374))) % 10.83/11.15 (compose (compose (compose g (compose a b)) (compose h a)) % 10.83/11.15 (domain $_1374))) % 10.83/11.15 (compose (compose (compose g (compose a b)) (compose h a)) % 10.83/11.15 (domain $_1374)) = % 10.83/11.15 compose (compose (compose g (compose a b)) (compose h a)) % 10.83/11.15 (domain $_1374) % 10.83/11.15 |- ifeq (codomain a) (domain $_1374) % 10.83/11.15 (ifeq (domain $X) (domain g) % 10.83/11.15 (compose (domain $X) (compose (compose h a) (domain $_1374))) % 10.83/11.15 (compose (compose (domain $X) (compose h a)) (domain $_1374))) % 10.83/11.15 (compose (compose (domain $X) (compose h a)) (domain $_1374)) = % 10.83/11.15 compose (compose (domain $X) (compose h a)) (domain $_1374) % 10.83/11.15 |- ifeq (domain $X) (codomain (compose (compose a b) (domain $X))) % 10.83/11.15 (ifeq (codomain b) (domain $X) % 10.83/11.15 (compose (compose a b) % 10.83/11.15 (compose (domain $X) % 10.83/11.15 (codomain (compose (compose a b) (domain $X))))) % 10.83/11.15 (compose (compose a b) (domain $X))) % 10.83/11.15 (compose (compose a b) (domain $X)) = % 10.83/11.15 compose (compose a b) (domain $X) % 10.83/11.15 |- ifeq (codomain $X) (domain g) % 10.83/11.15 (ifeq (codomain b) (codomain $X) % 10.83/11.15 (compose (compose g (compose a b)) % 10.83/11.15 (compose (codomain $X) (compose g (compose a b)))) % 10.83/11.15 (compose (compose (compose g (compose a b)) (codomain $X)) % 10.83/11.15 (compose g (compose a b)))) % 10.83/11.15 (compose (compose (compose g (compose a b)) (codomain $X)) % 10.83/11.15 (compose g (compose a b))) = % 10.83/11.15 compose (compose (compose g (compose a b)) (codomain $X)) % 10.83/11.15 (compose g (compose a b)) % 10.83/11.15 |- ifeq (codomain b) (domain g) % 10.83/11.15 (ifeq (codomain b) (domain g) % 10.83/11.15 (compose (compose g (compose a b)) % 10.83/11.15 (compose (compose g (compose a b)) (compose g (compose a b)))) % 10.83/11.15 (compose % 10.83/11.15 (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.15 (compose g (compose a b)))) % 10.83/11.15 (compose (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.15 (compose g (compose a b))) = % 10.83/11.15 compose (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.15 (compose g (compose a b)) % 10.83/11.15 |- ifeq (domain $X) (domain g) % 10.83/11.15 (ifeq (codomain b) (domain $X) % 10.83/11.15 (compose (compose g (compose a b)) % 10.83/11.15 (compose (domain $X) (compose g (compose a b)))) % 10.83/11.15 (compose (compose (compose g (compose a b)) (domain $X)) % 10.83/11.15 (compose g (compose a b)))) % 10.83/11.15 (compose (compose (compose g (compose a b)) (domain $X)) % 10.83/11.15 (compose g (compose a b))) = % 10.83/11.15 compose (compose (compose g (compose a b)) (domain $X)) % 10.83/11.15 (compose g (compose a b)) % 10.83/11.15 |- ifeq (codomain b) (domain g) % 10.83/11.15 (ifeq (codomain $_1) (domain g) % 10.83/11.15 (compose (codomain $_1) % 10.83/11.15 (compose (compose g (compose a b)) (compose g a))) % 10.83/11.15 (compose (compose (codomain $_1) (compose g (compose a b))) % 10.83/11.15 (compose g a))) % 10.83/11.15 (compose (compose (codomain $_1) (compose g (compose a b))) % 10.83/11.15 (compose g a)) = % 10.83/11.15 compose (compose (codomain $_1) (compose g (compose a b))) (compose g a) % 10.83/11.15 |- ifeq (codomain b) (domain g) % 10.83/11.15 (ifeq (codomain b) (domain g) % 10.83/11.15 (compose (compose g (compose a b)) % 10.83/11.15 (compose (compose g (compose a b)) (compose g a))) % 10.83/11.15 (compose % 10.83/11.15 (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.15 (compose g a))) % 10.83/11.15 (compose (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.15 (compose g a)) = % 10.83/11.15 compose (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.15 (compose g a) % 10.83/11.15 |- ifeq (codomain b) (domain g) % 10.83/11.15 (ifeq (domain $X) (domain g) % 10.83/11.15 (compose (domain $X) % 10.83/11.15 (compose (compose g (compose a b)) (compose g a))) % 10.83/11.15 (compose (compose (domain $X) (compose g (compose a b))) % 10.83/11.15 (compose g a))) % 10.83/11.15 (compose (compose (domain $X) (compose g (compose a b))) % 10.83/11.15 (compose g a)) = % 10.83/11.15 compose (compose (domain $X) (compose g (compose a b))) (compose g a) % 10.83/11.15 |- ifeq (codomain b) (codomain $X) % 10.83/11.15 (ifeq (codomain a) (domain g) % 10.83/11.15 (compose (compose g a) % 10.83/11.15 (compose (compose g (compose a b)) (codomain $X))) % 10.83/11.15 (compose (compose (compose g a) (compose g (compose a b))) % 10.83/11.15 (codomain $X))) % 10.83/11.15 (compose (compose (compose g a) (compose g (compose a b))) % 10.83/11.15 (codomain $X)) = % 10.83/11.15 compose (compose (compose g a) (compose g (compose a b))) (codomain $X) % 10.83/11.15 |- ifeq (codomain b) (domain $X) % 10.83/11.15 (ifeq (codomain a) (domain g) % 10.83/11.15 (compose (compose g a) % 10.83/11.15 (compose (compose g (compose a b)) (domain $X))) % 10.83/11.15 (compose (compose (compose g a) (compose g (compose a b))) % 10.83/11.15 (domain $X))) % 10.83/11.15 (compose (compose (compose g a) (compose g (compose a b))) % 10.83/11.15 (domain $X)) = % 10.83/11.15 compose (compose (compose g a) (compose g (compose a b))) (domain $X) % 10.83/11.15 |- ifeq (codomain b) % 10.83/11.15 (codomain % 10.83/11.15 (compose (compose g (compose a b)) (compose g (compose a b)))) % 10.83/11.15 (ifeq (codomain b) (domain g) % 10.83/11.15 (compose (compose g (compose a b)) % 10.83/11.15 (compose (compose g (compose a b)) % 10.83/11.15 (codomain % 10.83/11.15 (compose (compose g (compose a b)) % 10.83/11.15 (compose g (compose a b)))))) % 10.83/11.15 (compose (compose g (compose a b)) (compose g (compose a b)))) % 10.83/11.15 (compose (compose g (compose a b)) (compose g (compose a b))) = % 10.83/11.15 compose (compose g (compose a b)) (compose g (compose a b)) % 10.83/11.15 |- ifeq (codomain b) % 10.83/11.15 (codomain (compose (domain $X) (compose g (compose a b)))) % 10.83/11.15 (ifeq (domain $X) (domain g) % 10.83/11.15 (compose (domain $X) % 10.83/11.15 (compose (compose g (compose a b)) % 10.83/11.15 (codomain (compose (domain $X) (compose g (compose a b)))))) % 10.83/11.15 (compose (domain $X) (compose g (compose a b)))) % 10.83/11.15 (compose (domain $X) (compose g (compose a b))) = % 10.83/11.15 compose (domain $X) (compose g (compose a b)) % 10.83/11.15 |- ifeq (domain $X) % 10.83/11.15 (codomain (compose (compose g (compose a b)) (domain $X))) % 10.83/11.15 (ifeq (codomain b) (domain $X) % 10.83/11.15 (compose (compose g (compose a b)) % 10.83/11.15 (compose (domain $X) % 10.83/11.15 (codomain (compose (compose g (compose a b)) (domain $X))))) % 10.83/11.15 (compose (compose g (compose a b)) (domain $X))) % 10.83/11.15 (compose (compose g (compose a b)) (domain $X)) = % 10.83/11.15 compose (compose g (compose a b)) (domain $X) % 10.83/11.15 |- ifeq (codomain $_1438) (codomain g) % 10.83/11.15 (ifeq (codomain $_1) (codomain $_1438) % 10.83/11.15 (compose (codomain $_1) (compose (codomain $_1438) (compose a b))) % 10.83/11.15 (compose (compose (codomain $_1) (codomain $_1438)) (compose a b))) % 10.83/11.15 (compose (compose (codomain $_1) (codomain $_1438)) (compose a b)) = % 10.83/11.15 compose (compose (codomain $_1) (codomain $_1438)) (compose a b) % 10.83/11.15 |- ifeq (codomain $_1438) (codomain g) % 10.83/11.15 (ifeq (codomain b) (codomain $_1438) % 10.83/11.15 (compose (compose g (compose a b)) % 10.83/11.15 (compose (codomain $_1438) (compose a b))) % 10.83/11.15 (compose (compose (compose g (compose a b)) (codomain $_1438)) % 10.83/11.15 (compose a b))) % 10.83/11.15 (compose (compose (compose g (compose a b)) (codomain $_1438)) % 10.83/11.15 (compose a b)) = % 10.83/11.15 compose (compose (compose g (compose a b)) (codomain $_1438)) % 10.83/11.15 (compose a b) % 10.83/11.15 |- ifeq (codomain $_1438) (codomain g) % 10.83/11.15 (ifeq (domain $X) (codomain $_1438) % 10.83/11.15 (compose (domain $X) (compose (codomain $_1438) (compose a b))) % 10.83/11.15 (compose (compose (domain $X) (codomain $_1438)) (compose a b))) % 10.83/11.15 (compose (compose (domain $X) (codomain $_1438)) (compose a b)) = % 10.83/11.15 compose (compose (domain $X) (codomain $_1438)) (compose a b) % 10.83/11.15 |- ifeq (codomain $_1440) (domain g) % 10.83/11.15 (ifeq (codomain $_1) (codomain $_1440) % 10.83/11.15 (compose (codomain $_1) (compose (codomain $_1440) (compose g a))) % 10.83/11.15 (compose (compose (codomain $_1) (codomain $_1440)) (compose g a))) % 10.83/11.15 (compose (compose (codomain $_1) (codomain $_1440)) (compose g a)) = % 10.83/11.15 compose (compose (codomain $_1) (codomain $_1440)) (compose g a) % 10.83/11.15 |- ifeq (codomain $_1440) (domain g) % 10.83/11.15 (ifeq (codomain b) (codomain $_1440) % 10.83/11.15 (compose (compose g (compose a b)) % 10.83/11.15 (compose (codomain $_1440) (compose g a))) % 10.83/11.15 (compose (compose (compose g (compose a b)) (codomain $_1440)) % 10.83/11.15 (compose g a))) % 10.83/11.15 (compose (compose (compose g (compose a b)) (codomain $_1440)) % 10.83/11.15 (compose g a)) = % 10.83/11.15 compose (compose (compose g (compose a b)) (codomain $_1440)) % 10.83/11.15 (compose g a) % 10.83/11.15 |- ifeq (codomain $_1440) (domain g) % 10.83/11.15 (ifeq (domain $X) (codomain $_1440) % 10.83/11.15 (compose (domain $X) (compose (codomain $_1440) (compose g a))) % 10.83/11.15 (compose (compose (domain $X) (codomain $_1440)) (compose g a))) % 10.83/11.15 (compose (compose (domain $X) (codomain $_1440)) (compose g a)) = % 10.83/11.15 compose (compose (domain $X) (codomain $_1440)) (compose g a) % 10.83/11.15 |- ifeq (codomain $_1442) (domain g) % 10.83/11.15 (ifeq (codomain $_1) (codomain $_1442) % 10.83/11.15 (compose (codomain $_1) (compose (codomain $_1442) (compose h a))) % 10.83/11.15 (compose (compose (codomain $_1) (codomain $_1442)) (compose h a))) % 10.83/11.15 (compose (compose (codomain $_1) (codomain $_1442)) (compose h a)) = % 10.83/11.15 compose (compose (codomain $_1) (codomain $_1442)) (compose h a) % 10.83/11.15 |- ifeq (codomain $_1442) (domain g) % 10.83/11.15 (ifeq (domain $X) (codomain $_1442) % 10.83/11.15 (compose (domain $X) (compose (codomain $_1442) (compose h a))) % 10.83/11.15 (compose (compose (domain $X) (codomain $_1442)) (compose h a))) % 10.83/11.15 (compose (compose (domain $X) (codomain $_1442)) (compose h a)) = % 10.83/11.15 compose (compose (domain $X) (codomain $_1442)) (compose h a) % 10.83/11.15 |- ifeq (domain $_1444) (codomain g) % 10.83/11.15 (ifeq (codomain $_1) (domain $_1444) % 10.83/11.15 (compose (codomain $_1) (compose (domain $_1444) (compose a b))) % 10.83/11.15 (compose (compose (codomain $_1) (domain $_1444)) (compose a b))) % 10.83/11.15 (compose (compose (codomain $_1) (domain $_1444)) (compose a b)) = % 10.83/11.15 compose (compose (codomain $_1) (domain $_1444)) (compose a b) % 10.83/11.15 |- ifeq (domain $_1444) (codomain g) % 10.83/11.15 (ifeq (codomain b) (domain $_1444) % 10.83/11.15 (compose (compose g (compose a b)) % 10.83/11.15 (compose (domain $_1444) (compose a b))) % 10.83/11.15 (compose (compose (compose g (compose a b)) (domain $_1444)) % 10.83/11.15 (compose a b))) % 10.83/11.15 (compose (compose (compose g (compose a b)) (domain $_1444)) % 10.83/11.15 (compose a b)) = % 10.83/11.15 compose (compose (compose g (compose a b)) (domain $_1444)) % 10.83/11.15 (compose a b) % 10.83/11.16 |- ifeq (domain $_1444) (codomain g) % 10.83/11.16 (ifeq (domain $X) (domain $_1444) % 10.83/11.16 (compose (domain $X) (compose (domain $_1444) (compose a b))) % 10.83/11.16 (compose (compose (domain $X) (domain $_1444)) (compose a b))) % 10.83/11.16 (compose (compose (domain $X) (domain $_1444)) (compose a b)) = % 10.83/11.16 compose (compose (domain $X) (domain $_1444)) (compose a b) % 10.83/11.16 |- ifeq (domain $_1446) (domain g) % 10.83/11.16 (ifeq (codomain $_1) (domain $_1446) % 10.83/11.16 (compose (codomain $_1) (compose (domain $_1446) (compose g a))) % 10.83/11.16 (compose (compose (codomain $_1) (domain $_1446)) (compose g a))) % 10.83/11.16 (compose (compose (codomain $_1) (domain $_1446)) (compose g a)) = % 10.83/11.16 compose (compose (codomain $_1) (domain $_1446)) (compose g a) % 10.83/11.16 |- ifeq (domain $_1446) (domain g) % 10.83/11.16 (ifeq (codomain b) (domain $_1446) % 10.83/11.16 (compose (compose g (compose a b)) % 10.83/11.16 (compose (domain $_1446) (compose g a))) % 10.83/11.16 (compose (compose (compose g (compose a b)) (domain $_1446)) % 10.83/11.16 (compose g a))) % 10.83/11.16 (compose (compose (compose g (compose a b)) (domain $_1446)) % 10.83/11.16 (compose g a)) = % 10.83/11.16 compose (compose (compose g (compose a b)) (domain $_1446)) % 10.83/11.16 (compose g a) % 10.83/11.16 |- ifeq (domain $_1446) (domain g) % 10.83/11.16 (ifeq (domain $X) (domain $_1446) % 10.83/11.16 (compose (domain $X) (compose (domain $_1446) (compose g a))) % 10.83/11.16 (compose (compose (domain $X) (domain $_1446)) (compose g a))) % 10.83/11.16 (compose (compose (domain $X) (domain $_1446)) (compose g a)) = % 10.83/11.16 compose (compose (domain $X) (domain $_1446)) (compose g a) % 10.83/11.16 |- ifeq (domain $_1448) (domain g) % 10.83/11.16 (ifeq (codomain $_1) (domain $_1448) % 10.83/11.16 (compose (codomain $_1) (compose (domain $_1448) (compose h a))) % 10.83/11.16 (compose (compose (codomain $_1) (domain $_1448)) (compose h a))) % 10.83/11.16 (compose (compose (codomain $_1) (domain $_1448)) (compose h a)) = % 10.83/11.16 compose (compose (codomain $_1) (domain $_1448)) (compose h a) % 10.83/11.16 |- ifeq (domain $_1448) (domain g) % 10.83/11.16 (ifeq (domain $X) (domain $_1448) % 10.83/11.16 (compose (domain $X) (compose (domain $_1448) (compose h a))) % 10.83/11.16 (compose (compose (domain $X) (domain $_1448)) (compose h a))) % 10.83/11.16 (compose (compose (domain $X) (domain $_1448)) (compose h a)) = % 10.83/11.16 compose (compose (domain $X) (domain $_1448)) (compose h a) % 10.83/11.16 |- ifeq (codomain $_1475) (codomain $X) % 10.83/11.16 (ifeq (codomain a) (codomain $_1475) % 10.83/11.16 (compose (compose g a) (compose (codomain $_1475) (codomain $X))) % 10.83/11.16 (compose (compose (compose g a) (codomain $_1475)) (codomain $X))) % 10.83/11.16 (compose (compose (compose g a) (codomain $_1475)) (codomain $X)) = % 10.83/11.16 compose (compose (compose g a) (codomain $_1475)) (codomain $X) % 10.83/11.16 |- ifeq (codomain $_1475) (domain $X) % 10.83/11.16 (ifeq (codomain a) (codomain $_1475) % 10.83/11.16 (compose (compose g a) (compose (codomain $_1475) (domain $X))) % 10.83/11.16 (compose (compose (compose g a) (codomain $_1475)) (domain $X))) % 10.83/11.16 (compose (compose (compose g a) (codomain $_1475)) (domain $X)) = % 10.83/11.16 compose (compose (compose g a) (codomain $_1475)) (domain $X) % 10.83/11.16 |- ifeq (domain $X) (codomain $_1477) % 10.83/11.16 (ifeq (codomain a) (domain $X) % 10.83/11.16 (compose (compose g a) (compose (domain $X) (codomain $_1477))) % 10.83/11.16 (compose (compose (compose g a) (domain $X)) (codomain $_1477))) % 10.83/11.16 (compose (compose (compose g a) (domain $X)) (codomain $_1477)) = % 10.83/11.16 compose (compose (compose g a) (domain $X)) (codomain $_1477) % 10.83/11.16 |- ifeq (codomain b) (domain g) % 10.83/11.16 (ifeq (codomain $_1492) (domain g) % 10.83/11.16 (compose $_1492 % 10.83/11.16 (compose (compose g (compose a b)) (compose g (compose a b)))) % 10.83/11.16 (compose (compose $_1492 (compose g (compose a b))) % 10.83/11.16 (compose g (compose a b)))) % 10.83/11.16 (compose (compose $_1492 (compose g (compose a b))) % 10.83/11.16 (compose g (compose a b))) = % 10.83/11.16 compose (compose $_1492 (compose g (compose a b))) % 10.83/11.16 (compose g (compose a b)) % 10.83/11.16 |- ifeq (codomain b) (domain g) % 10.83/11.16 (ifeq (codomain $_1) (domain g) % 10.83/11.16 (compose (codomain $_1) % 10.83/11.16 (compose (compose g (compose a b)) (compose g (compose a b)))) % 10.83/11.16 (compose (compose (codomain $_1) (compose g (compose a b))) % 10.83/11.16 (compose g (compose a b)))) % 10.83/11.16 (compose (compose (codomain $_1) (compose g (compose a b))) % 10.83/11.16 (compose g (compose a b))) = % 10.83/11.16 compose (compose (codomain $_1) (compose g (compose a b))) % 10.83/11.16 (compose g (compose a b)) % 10.83/11.16 |- ifeq (codomain b) (domain g) % 10.83/11.16 (ifeq (domain $X) (domain g) % 10.83/11.16 (compose (domain $X) % 10.83/11.16 (compose (compose g (compose a b)) (compose g (compose a b)))) % 10.83/11.16 (compose (compose (domain $X) (compose g (compose a b))) % 10.83/11.16 (compose g (compose a b)))) % 10.83/11.16 (compose (compose (domain $X) (compose g (compose a b))) % 10.83/11.16 (compose g (compose a b))) = % 10.83/11.16 compose (compose (domain $X) (compose g (compose a b))) % 10.83/11.16 (compose g (compose a b)) % 10.83/11.16 |- ifeq (codomain $_1498) (codomain $X) % 10.83/11.16 (ifeq (codomain b) (codomain $_1498) % 10.83/11.16 (compose (compose a b) (compose (codomain $_1498) (codomain $X))) % 10.83/11.16 (compose (compose (compose a b) (codomain $_1498)) (codomain $X))) % 10.83/11.16 (compose (compose (compose a b) (codomain $_1498)) (codomain $X)) = % 10.83/11.16 compose (compose (compose a b) (codomain $_1498)) (codomain $X) % 10.83/11.16 |- ifeq (codomain $_1498) (domain $X) % 10.83/11.16 (ifeq (codomain b) (codomain $_1498) % 10.83/11.16 (compose (compose a b) (compose (codomain $_1498) (domain $X))) % 10.83/11.16 (compose (compose (compose a b) (codomain $_1498)) (domain $X))) % 10.83/11.16 (compose (compose (compose a b) (codomain $_1498)) (domain $X)) = % 10.83/11.16 compose (compose (compose a b) (codomain $_1498)) (domain $X) % 10.83/11.16 |- ifeq (domain $_1500) (codomain $X) % 10.83/11.16 (ifeq (codomain b) (domain $_1500) % 10.83/11.16 (compose (compose a b) (compose (domain $_1500) (codomain $X))) % 10.83/11.16 (compose (compose (compose a b) (domain $_1500)) (codomain $X))) % 10.83/11.16 (compose (compose (compose a b) (domain $_1500)) (codomain $X)) = % 10.83/11.16 compose (compose (compose a b) (domain $_1500)) (codomain $X) % 10.83/11.16 |- ifeq (domain $_1500) (domain $X) % 10.83/11.16 (ifeq (codomain b) (domain $_1500) % 10.83/11.16 (compose (compose a b) (compose (domain $_1500) (domain $X))) % 10.83/11.16 (compose (compose (compose a b) (domain $_1500)) (domain $X))) % 10.83/11.16 (compose (compose (compose a b) (domain $_1500)) (domain $X)) = % 10.83/11.16 compose (compose (compose a b) (domain $_1500)) (domain $X) % 10.83/11.16 |- ifeq (codomain $_1506) (codomain $X) % 10.83/11.16 (ifeq (codomain a) (codomain $_1506) % 10.83/11.16 (compose (compose h a) (compose (codomain $_1506) (codomain $X))) % 10.83/11.16 (compose (compose (compose h a) (codomain $_1506)) (codomain $X))) % 10.83/11.16 (compose (compose (compose h a) (codomain $_1506)) (codomain $X)) = % 10.83/11.16 compose (compose (compose h a) (codomain $_1506)) (codomain $X) % 10.83/11.16 |- ifeq (codomain $_1506) (domain $X) % 10.83/11.16 (ifeq (codomain a) (codomain $_1506) % 10.83/11.16 (compose (compose h a) (compose (codomain $_1506) (domain $X))) % 10.83/11.16 (compose (compose (compose h a) (codomain $_1506)) (domain $X))) % 10.83/11.16 (compose (compose (compose h a) (codomain $_1506)) (domain $X)) = % 10.83/11.16 compose (compose (compose h a) (codomain $_1506)) (domain $X) % 10.83/11.16 |- ifeq (domain $_1508) (codomain $X) % 10.83/11.16 (ifeq (codomain a) (domain $_1508) % 10.83/11.16 (compose (compose h a) (compose (domain $_1508) (codomain $X))) % 10.83/11.16 (compose (compose (compose h a) (domain $_1508)) (codomain $X))) % 10.83/11.16 (compose (compose (compose h a) (domain $_1508)) (codomain $X)) = % 10.83/11.16 compose (compose (compose h a) (domain $_1508)) (codomain $X) % 10.83/11.16 |- ifeq (domain $_1508) (domain $X) % 10.83/11.16 (ifeq (codomain a) (domain $_1508) % 10.83/11.16 (compose (compose h a) (compose (domain $_1508) (domain $X))) % 10.83/11.16 (compose (compose (compose h a) (domain $_1508)) (domain $X))) % 10.83/11.16 (compose (compose (compose h a) (domain $_1508)) (domain $X)) = % 10.83/11.16 compose (compose (compose h a) (domain $_1508)) (domain $X) % 10.83/11.16 |- ifeq (codomain $X) (domain g) % 10.83/11.16 (ifeq (domain (compose (codomain $X) (compose g (compose a b)))) % 10.83/11.16 (codomain $X) (compose (codomain $X) (compose g (compose a b))) % 10.83/11.16 (compose % 10.83/11.16 (compose % 10.83/11.16 (domain (compose (codomain $X) (compose g (compose a b)))) % 10.83/11.16 (codomain $X)) (compose g (compose a b)))) % 10.83/11.16 (compose % 10.83/11.16 (compose (domain (compose (codomain $X) (compose g (compose a b)))) % 10.83/11.16 (codomain $X)) (compose g (compose a b))) = % 10.83/11.16 compose % 10.83/11.16 (compose (domain (compose (codomain $X) (compose g (compose a b)))) % 10.83/11.16 (codomain $X)) (compose g (compose a b)) % 10.83/11.16 |- ifeq (domain $X) (domain g) % 10.83/11.16 (ifeq (domain (compose (domain $X) (compose g (compose a b)))) % 10.83/11.16 (domain $X) (compose (domain $X) (compose g (compose a b))) % 10.83/11.16 (compose % 10.83/11.16 (compose % 10.83/11.16 (domain (compose (domain $X) (compose g (compose a b)))) % 10.83/11.16 (domain $X)) (compose g (compose a b)))) % 10.83/11.16 (compose % 10.83/11.16 (compose (domain (compose (domain $X) (compose g (compose a b)))) % 10.83/11.16 (domain $X)) (compose g (compose a b))) = % 10.83/11.16 compose % 10.83/11.16 (compose (domain (compose (domain $X) (compose g (compose a b)))) % 10.83/11.16 (domain $X)) (compose g (compose a b)) % 10.83/11.16 |- ifeq (codomain $X) (domain $_1557) % 10.83/11.16 (ifeq (domain (compose (codomain $X) (domain $_1557))) (codomain $X) % 10.83/11.16 (compose (codomain $X) (domain $_1557)) % 10.83/11.16 (compose % 10.83/11.16 (compose (domain (compose (codomain $X) (domain $_1557))) % 10.83/11.16 (codomain $X)) (domain $_1557))) % 10.83/11.16 (compose % 10.83/11.16 (compose (domain (compose (codomain $X) (domain $_1557))) % 10.83/11.16 (codomain $X)) (domain $_1557)) = % 10.83/11.16 compose % 10.83/11.16 (compose (domain (compose (codomain $X) (domain $_1557))) % 10.83/11.16 (codomain $X)) (domain $_1557) % 10.83/11.16 |- ifeq (domain $X) (domain $_1557) % 10.83/11.16 (ifeq (domain (compose (domain $X) (domain $_1557))) (domain $X) % 10.83/11.16 (compose (domain $X) (domain $_1557)) % 10.83/11.16 (compose % 10.83/11.16 (compose (domain (compose (domain $X) (domain $_1557))) % 10.83/11.16 (domain $X)) (domain $_1557))) % 10.83/11.16 (compose % 10.83/11.16 (compose (domain (compose (domain $X) (domain $_1557))) % 10.83/11.16 (domain $X)) (domain $_1557)) = % 10.83/11.16 compose % 10.83/11.16 (compose (domain (compose (domain $X) (domain $_1557))) (domain $X)) % 10.83/11.16 (domain $_1557) % 10.83/11.16 |- ifeq (domain $X) (domain $_1581) % 10.83/11.16 (ifeq (codomain g) (domain $X) % 10.83/11.16 (compose h (compose (domain $X) (domain $_1581))) % 10.83/11.16 (compose (compose h (domain $X)) (domain $_1581))) % 10.83/11.16 (compose (compose h (domain $X)) (domain $_1581)) = % 10.83/11.16 compose (compose h (domain $X)) (domain $_1581) % 10.83/11.16 |- ifeq (codomain b) (codomain $X) % 10.83/11.16 (ifeq (codomain b) (domain g) % 10.83/11.16 (compose (compose g (compose a b)) % 10.83/11.16 (compose (compose g (compose a b)) (codomain $X))) % 10.83/11.16 (compose % 10.83/11.16 (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.16 (codomain $X))) % 10.83/11.16 (compose (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.16 (codomain $X)) = % 10.83/11.16 compose (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.16 (codomain $X) % 10.83/11.16 |- ifeq (codomain b) (domain $X) % 10.83/11.16 (ifeq (codomain b) (domain g) % 10.83/11.16 (compose (compose g (compose a b)) % 10.83/11.16 (compose (compose g (compose a b)) (domain $X))) % 10.83/11.16 (compose % 10.83/11.16 (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.16 (domain $X))) % 10.83/11.16 (compose (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.16 (domain $X)) = % 10.83/11.16 compose (compose (compose g (compose a b)) (compose g (compose a b))) % 10.83/11.16 (domain $X) % 10.83/11.16 |- ifeq (domain $_1608) (codomain (compose (domain $X) (domain $_1608))) % 10.83/11.16 (ifeq (domain $X) (domain $_1608) % 10.83/11.16 (compose (domain $X) % 10.83/11.16 (compose (domain $_1608) % 10.83/11.16 (codomain (compose (domain $X) (domain $_1608))))) % 10.83/11.16 (compose (domain $X) (domain $_1608))) % 10.83/11.16 (compose (domain $X) (domain $_1608)) = % 10.83/11.16 compose (domain $X) (domain $_1608) % 10.83/11.16 |- ifeq (codomain $_1614) (codomain $X) % 10.83/11.16 (ifeq (domain (compose (codomain $_1614) (codomain $X))) % 10.83/11.16 (codomain $_1614) (compose (codomain $_1614) (codomain $X)) % 10.83/11.16 (compose % 10.83/11.16 (compose (domain (compose (codomain $_1614) (codomain $X))) % 10.83/11.16 (codomain $_1614)) (codomain $X))) % 10.83/11.16 (compose % 10.83/11.16 (compose (domain (compose (codomain $_1614) (codomain $X))) % 10.83/11.16 (codomain $_1614)) (codomain $X)) = % 10.83/11.16 compose % 10.83/11.16 (compose (domain (compose (codomain $_1614) (codomain $X))) % 10.83/11.16 (codomain $_1614)) (codomain $X) % 10.83/11.16 |- ifeq (domain $_1616) (codomain $X) % 10.83/11.16 (ifeq (domain (compose (domain $_1616) (codomain $X))) (domain $_1616) % 10.83/11.16 (compose (domain $_1616) (codomain $X)) % 10.83/11.16 (compose % 10.83/11.16 (compose (domain (compose (domain $_1616) (codomain $X))) % 10.83/11.16 (domain $_1616)) (codomain $X))) % 10.83/11.16 (compose % 10.83/11.16 (compose (domain (compose (domain $_1616) (codomain $X))) % 10.83/11.16 (domain $_1616)) (codomain $X)) = % 10.83/11.16 compose % 10.83/11.16 (compose (domain (compose (domain $_1616) (codomain $X))) % 10.83/11.16 (domain $_1616)) (codomain $X) % 10.83/11.16 |- ifeq (codomain b) (codomain $_1620) % 10.83/11.16 (ifeq (codomain $_1) (domain g) % 10.83/11.16 (compose (codomain $_1) % 10.83/11.16 (compose (compose g (compose a b)) (codomain $_1620))) % 10.83/11.16 (compose (compose (codomain $_1) (compose g (compose a b))) % 10.83/11.16 (codomain $_1620))) % 10.83/11.16 (compose (compose (codomain $_1) (compose g (compose a b))) % 10.83/11.16 (codomain $_1620)) = % 10.83/11.16 compose (compose (codomain $_1) (compose g (compose a b))) % 10.83/11.16 (codomain $_1620) % 10.83/11.17 |- ifeq (codomain b) (codomain $_1620) % 10.83/11.17 (ifeq (domain $X) (domain g) % 10.83/11.17 (compose (domain $X) % 10.83/11.17 (compose (compose g (compose a b)) (codomain $_1620))) % 10.83/11.17 (compose (compose (domain $X) (compose g (compose a b))) % 10.83/11.17 (codomain $_1620))) % 10.83/11.17 (compose (compose (domain $X) (compose g (compose a b))) % 10.83/11.17 (codomain $_1620)) = % 10.83/11.17 compose (compose (domain $X) (compose g (compose a b))) % 10.83/11.17 (codomain $_1620) % 10.83/11.17 |- ifeq (codomain $X) (codomain $_1622) % 10.83/11.17 (ifeq (codomain b) (codomain $X) % 10.83/11.17 (compose (compose g (compose a b)) % 10.83/11.17 (compose (codomain $X) (codomain $_1622))) % 10.83/11.17 (compose (compose (compose g (compose a b)) (codomain $X)) % 10.83/11.17 (codomain $_1622))) % 10.83/11.17 (compose (compose (compose g (compose a b)) (codomain $X)) % 10.83/11.17 (codomain $_1622)) = % 10.83/11.17 compose (compose (compose g (compose a b)) (codomain $X)) % 10.83/11.17 (codomain $_1622) % 10.83/11.17 |- ifeq (domain $X) (codomain $_1622) % 10.83/11.17 (ifeq (codomain b) (domain $X) % 10.83/11.17 (compose (compose g (compose a b)) % 10.83/11.17 (compose (domain $X) (codomain $_1622))) % 10.83/11.17 (compose (compose (compose g (compose a b)) (domain $X)) % 10.83/11.17 (codomain $_1622))) % 10.83/11.17 (compose (compose (compose g (compose a b)) (domain $X)) % 10.83/11.17 (codomain $_1622)) = % 10.83/11.17 compose (compose (compose g (compose a b)) (domain $X)) % 10.83/11.17 (codomain $_1622) % 10.83/11.17 |- ifeq (codomain b) (domain $_1624) % 10.83/11.17 (ifeq (codomain $_1) (domain g) % 10.83/11.17 (compose (codomain $_1) % 10.83/11.17 (compose (compose g (compose a b)) (domain $_1624))) % 10.83/11.17 (compose (compose (codomain $_1) (compose g (compose a b))) % 10.83/11.17 (domain $_1624))) % 10.83/11.17 (compose (compose (codomain $_1) (compose g (compose a b))) % 10.83/11.17 (domain $_1624)) = % 10.83/11.17 compose (compose (codomain $_1) (compose g (compose a b))) % 10.83/11.17 (domain $_1624) % 10.83/11.17 |- ifeq (codomain b) (domain $_1624) % 10.83/11.17 (ifeq (domain $X) (domain g) % 10.83/11.17 (compose (domain $X) % 10.83/11.17 (compose (compose g (compose a b)) (domain $_1624))) % 10.83/11.17 (compose (compose (domain $X) (compose g (compose a b))) % 10.83/11.17 (domain $_1624))) % 10.83/11.17 (compose (compose (domain $X) (compose g (compose a b))) % 10.83/11.17 (domain $_1624)) = % 10.83/11.17 compose (compose (domain $X) (compose g (compose a b))) (domain $_1624) % 10.83/11.17 |- ifeq (codomain $X) (domain $_1626) % 10.83/11.17 (ifeq (codomain b) (codomain $X) % 10.83/11.17 (compose (compose g (compose a b)) % 10.83/11.17 (compose (codomain $X) (domain $_1626))) % 10.83/11.17 (compose (compose (compose g (compose a b)) (codomain $X)) % 10.83/11.17 (domain $_1626))) % 10.83/11.17 (compose (compose (compose g (compose a b)) (codomain $X)) % 10.83/11.17 (domain $_1626)) = % 10.83/11.17 compose (compose (compose g (compose a b)) (codomain $X)) % 10.83/11.17 (domain $_1626) % 10.83/11.17 |- ifeq (domain $X) (domain $_1626) % 10.83/11.17 (ifeq (codomain b) (domain $X) % 10.83/11.17 (compose (compose g (compose a b)) % 10.83/11.17 (compose (domain $X) (domain $_1626))) % 10.83/11.17 (compose (compose (compose g (compose a b)) (domain $X)) % 10.83/11.17 (domain $_1626))) % 10.83/11.17 (compose (compose (compose g (compose a b)) (domain $X)) % 10.83/11.17 (domain $_1626)) = % 10.83/11.17 compose (compose (compose g (compose a b)) (domain $X)) (domain $_1626) % 10.83/11.17 |- ifeq (codomain $_1664) (domain g) % 10.83/11.17 (ifeq (codomain $_1) (codomain $_1664) % 10.83/11.17 (compose (codomain $_1) % 10.83/11.17 (compose (codomain $_1664) (compose g (compose a b)))) % 10.83/11.17 (compose (compose (codomain $_1) (codomain $_1664)) % 10.83/11.17 (compose g (compose a b)))) % 10.83/11.17 (compose (compose (codomain $_1) (codomain $_1664)) % 10.83/11.17 (compose g (compose a b))) = % 10.83/11.17 compose (compose (codomain $_1) (codomain $_1664)) % 10.83/11.17 (compose g (compose a b)) % 10.83/11.17 |- ifeq (codomain $_1664) (domain g) % 10.83/11.17 (ifeq (domain $X) (codomain $_1664) % 10.83/11.17 (compose (domain $X) % 10.83/11.17 (compose (codomain $_1664) (compose g (compose a b)))) % 10.83/11.17 (compose (compose (domain $X) (codomain $_1664)) % 10.83/11.17 (compose g (compose a b)))) % 10.83/11.17 (compose (compose (domain $X) (codomain $_1664)) % 10.83/11.17 (compose g (compose a b))) = % 10.83/11.17 compose (compose (domain $X) (codomain $_1664)) % 10.83/11.17 (compose g (compose a b)) % 10.83/11.17 |- ifeq (domain $_1668) (domain g) % 10.83/11.17 (ifeq (codomain $_1) (domain $_1668) % 10.83/11.17 (compose (codomain $_1) % 10.83/11.17 (compose (domain $_1668) (compose g (compose a b)))) % 10.83/11.17 (compose (compose (codomain $_1) (domain $_1668)) % 10.83/11.17 (compose g (compose a b)))) % 10.83/11.17 (compose (compose (codomain $_1) (domain $_1668)) % 10.83/11.17 (compose g (compose a b))) = % 10.83/11.17 compose (compose (codomain $_1) (domain $_1668)) % 10.83/11.17 (compose g (compose a b)) % 10.83/11.17 |- ifeq (domain $_1668) (domain g) % 10.83/11.17 (ifeq (domain $X) (domain $_1668) % 10.83/11.17 (compose (domain $X) % 10.83/11.17 (compose (domain $_1668) (compose g (compose a b)))) % 10.83/11.17 (compose (compose (domain $X) (domain $_1668)) % 10.83/11.17 (compose g (compose a b)))) % 10.83/11.17 (compose (compose (domain $X) (domain $_1668)) % 10.83/11.17 (compose g (compose a b))) = % 10.83/11.17 compose (compose (domain $X) (domain $_1668)) (compose g (compose a b)) % 10.83/11.17 |- ifeq (codomain $_1701) (codomain $X) % 10.83/11.17 (ifeq (codomain $_1700) (codomain $_1701) % 10.83/11.17 (compose (codomain $_1700) % 10.83/11.17 (compose (codomain $_1701) (codomain $X))) % 10.83/11.17 (compose (compose (codomain $_1700) (codomain $_1701)) % 10.83/11.17 (codomain $X))) % 10.83/11.17 (compose (compose (codomain $_1700) (codomain $_1701)) % 10.83/11.17 (codomain $X)) = % 10.83/11.17 compose (compose (codomain $_1700) (codomain $_1701)) (codomain $X) % 10.83/11.17 |- ifeq (codomain $_1701) (domain $X) % 10.83/11.17 (ifeq (codomain $_1700) (codomain $_1701) % 10.83/11.17 (compose (codomain $_1700) (compose (codomain $_1701) (domain $X))) % 10.83/11.17 (compose (compose (codomain $_1700) (codomain $_1701)) % 10.83/11.17 (domain $X))) % 10.83/11.17 (compose (compose (codomain $_1700) (codomain $_1701)) (domain $X)) = % 10.83/11.17 compose (compose (codomain $_1700) (codomain $_1701)) (domain $X) % 10.83/11.17 |- ifeq (codomain $_1704) (codomain $X) % 10.83/11.17 (ifeq (domain $_1703) (codomain $_1704) % 10.83/11.17 (compose (domain $_1703) (compose (codomain $_1704) (codomain $X))) % 10.83/11.17 (compose (compose (domain $_1703) (codomain $_1704)) % 10.83/11.17 (codomain $X))) % 10.83/11.17 (compose (compose (domain $_1703) (codomain $_1704)) (codomain $X)) = % 10.83/11.17 compose (compose (domain $_1703) (codomain $_1704)) (codomain $X) % 10.83/11.17 |- ifeq (codomain $_1704) (domain $X) % 10.83/11.17 (ifeq (domain $_1703) (codomain $_1704) % 10.83/11.17 (compose (domain $_1703) (compose (codomain $_1704) (domain $X))) % 10.83/11.17 (compose (compose (domain $_1703) (codomain $_1704)) (domain $X))) % 10.83/11.17 (compose (compose (domain $_1703) (codomain $_1704)) (domain $X)) = % 10.83/11.17 compose (compose (domain $_1703) (codomain $_1704)) (domain $X) % 10.83/11.17 |- ifeq (domain $_1713) (codomain $X) % 10.83/11.17 (ifeq (codomain $_1712) (domain $_1713) % 10.83/11.17 (compose (codomain $_1712) (compose (domain $_1713) (codomain $X))) % 10.83/11.17 (compose (compose (codomain $_1712) (domain $_1713)) % 10.83/11.17 (codomain $X))) % 10.83/11.17 (compose (compose (codomain $_1712) (domain $_1713)) (codomain $X)) = % 10.83/11.17 compose (compose (codomain $_1712) (domain $_1713)) (codomain $X) % 10.83/11.17 |- ifeq (domain $_1713) (domain $X) % 10.83/11.17 (ifeq (codomain $_1712) (domain $_1713) % 10.83/11.17 (compose (codomain $_1712) (compose (domain $_1713) (domain $X))) % 10.83/11.17 (compose (compose (codomain $_1712) (domain $_1713)) (domain $X))) % 10.83/11.17 (compose (compose (codomain $_1712) (domain $_1713)) (domain $X)) = % 10.83/11.17 compose (compose (codomain $_1712) (domain $_1713)) (domain $X) % 10.83/11.17 |- ifeq (domain $_1716) (codomain $X) % 10.83/11.17 (ifeq (domain $_1715) (domain $_1716) % 10.83/11.17 (compose (domain $_1715) (compose (domain $_1716) (codomain $X))) % 10.83/11.17 (compose (compose (domain $_1715) (domain $_1716)) (codomain $X))) % 10.83/11.17 (compose (compose (domain $_1715) (domain $_1716)) (codomain $X)) = % 10.83/11.17 compose (compose (domain $_1715) (domain $_1716)) (codomain $X) % 10.83/11.17 |- ifeq (domain $_1716) (domain $X) % 10.83/11.17 (ifeq (domain $_1715) (domain $_1716) % 10.83/11.17 (compose (domain $_1715) (compose (domain $_1716) (domain $X))) % 10.83/11.17 (compose (compose (domain $_1715) (domain $_1716)) (domain $X))) % 10.83/11.17 (compose (compose (domain $_1715) (domain $_1716)) (domain $X)) = % 10.83/11.17 compose (compose (domain $_1715) (domain $_1716)) (domain $X) % 10.83/11.17 |- ifeq (domain $_1722) (domain $_1721) % 10.83/11.17 (ifeq (codomain a) (domain $_1722) % 10.83/11.17 (compose (compose g a) (compose (domain $_1722) (domain $_1721))) % 10.83/11.17 (compose (compose (compose g a) (domain $_1722)) (domain $_1721))) % 10.83/11.17 (compose (compose (compose g a) (domain $_1722)) (domain $_1721)) = % 10.83/11.17 compose (compose (compose g a) (domain $_1722)) (domain $_1721) % 10.83/11.17 SZS output end Saturation for /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.83/11.17 %------------------------------------------------------------------------------