%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ITP305_1 : TPTP v8.1.2. Released v8.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n013.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 : 300s % DateTime : Thu Aug 31 04:11:40 EDT 2023 % Result : Theorem 51.23s 7.74s % Output : Proof 79.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ITP305_1 : TPTP v8.1.2. Released v8.0.0. % 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.35 % Computer : n013.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Sun Aug 27 12:49:02 EDT 2023 % 0.13/0.35 % CPUTime : % 0.21/0.63 ________ _____ % 0.21/0.63 ___ __ \_________(_)________________________________ % 0.21/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.63 % 0.21/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.63 (2023-06-19) % 0.21/0.63 % 0.21/0.63 (c) Philipp Rümmer, 2009-2023 % 0.21/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.63 Amanda Stjerna. % 0.21/0.63 Free software under BSD-3-Clause. % 0.21/0.63 % 0.21/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.63 % 0.21/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.21/0.64 Running up to 7 provers in parallel. % 0.21/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 16.61/3.04 Prover 3: Preprocessing ... % 16.61/3.06 Prover 1: Preprocessing ... % 17.47/3.10 Prover 0: Preprocessing ... % 17.47/3.12 Prover 2: Preprocessing ... % 17.64/3.15 Prover 6: Preprocessing ... % 18.34/3.22 Prover 5: Preprocessing ... % 18.34/3.23 Prover 4: Preprocessing ... % 42.79/6.48 Prover 1: Warning: ignoring some quantifiers % 43.73/6.63 Prover 3: Warning: ignoring some quantifiers % 45.01/6.76 Prover 3: Constructing countermodel ... % 45.01/6.81 Prover 1: Constructing countermodel ... % 45.01/6.87 Prover 6: Proving ... % 50.64/7.73 Prover 3: proved (7072ms) % 50.64/7.73 % 51.23/7.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 51.23/7.74 % 51.23/7.74 Prover 6: stopped % 51.23/7.74 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 51.23/7.75 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 60.25/8.78 Prover 8: Preprocessing ... % 60.25/8.83 Prover 7: Preprocessing ... % 61.41/9.02 Prover 5: Proving ... % 61.41/9.02 Prover 5: stopped % 61.41/9.04 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 61.79/9.12 Prover 4: Warning: ignoring some quantifiers % 65.40/9.48 Prover 4: Constructing countermodel ... % 66.12/9.71 Prover 10: Preprocessing ... % 71.41/10.28 Prover 8: Warning: ignoring some quantifiers % 71.54/10.29 Prover 1: Found proof (size 333) % 71.54/10.29 Prover 1: proved (9639ms) % 71.54/10.29 Prover 4: stopped % 72.77/10.51 Prover 8: Constructing countermodel ... % 72.77/10.53 Prover 8: stopped % 74.05/10.65 Prover 10: Warning: ignoring some quantifiers % 74.72/10.73 Prover 0: Proving ... % 74.72/10.73 Prover 0: stopped % 74.97/10.81 Prover 2: Proving ... % 74.97/10.81 Prover 2: stopped % 74.97/10.83 Prover 10: Constructing countermodel ... % 74.97/10.83 Prover 10: stopped % 76.78/11.21 Prover 7: Warning: ignoring some quantifiers % 77.48/11.36 Prover 7: Constructing countermodel ... % 77.48/11.36 Prover 7: stopped % 77.48/11.36 % 77.48/11.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 77.48/11.37 % 78.17/11.55 % SZS output start Proof for theBenchmark % 78.23/11.57 Assumptions after simplification: % 78.23/11.57 --------------------------------- % 78.23/11.57 % 78.23/11.57 (axiom140) % 78.23/11.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$(functorM$) & ! % 78.23/11.60 [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: A$] : ! [v2: A_set$] : ( % 78.23/11.60 ~ (obj$b(v0) = v2) | ~ (member$i(v1, v2) = 0) | ~ A$(v1) | ~ % 78.23/11.60 A_b_b_c_LSCategory_ext_Category_ext$(v0) | ? [v3: any] : ? [v4: % 78.23/11.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v5: any] : % 78.23/11.60 (homFtor$a(v0, v1) = v4 & lSCategory$(v0) = v3 & fun_app$f(functorM$, v4) = % 78.23/11.60 v5 & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v4) & ( ~ (v3 = % 78.23/11.60 0) | v5 = 0))) % 78.23/11.60 % 78.23/11.60 (axiom172) % 78.23/11.60 ZF_ZF_unit_Category_ext$(set$) & ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] % 78.23/11.60 : ! [v1: A_b_b_c_LSCategory_ext_Category_ext$] : ( ~ (oppositeCategory$(v0) = % 78.23/11.60 v1) | ~ A_b_b_c_LSCategory_ext_Category_ext$(v0) | ? [v2: any] : ? [v3: % 78.23/11.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.23/11.60 : ? [v4: any] : (category$(v3) = v4 & catExp$(v1, set$) = v3 & % 78.23/11.60 lSCategory$(v0) = v2 & % 78.23/11.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$(v3) % 78.23/11.60 & ( ~ (v2 = 0) | v4 = 0))) % 78.23/11.60 % 78.23/11.60 (axiom173) % 78.23/11.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$(functor$) & ! % 78.23/11.60 [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: A$] : ! [v2: A_set$] : ( % 78.23/11.60 ~ (obj$b(v0) = v2) | ~ (member$i(v1, v2) = 0) | ~ A$(v1) | ~ % 78.23/11.60 A_b_b_c_LSCategory_ext_Category_ext$(v0) | ? [v3: any] : ? [v4: % 78.23/11.60 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v5: any] : % 78.23/11.60 (homFtor$(v0, v1) = v4 & lSCategory$(v0) = v3 & fun_app$f(functor$, v4) = v5 % 78.23/11.60 & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v4) & ( ~ (v3 = 0) | % 78.23/11.60 v5 = 0))) % 78.23/11.60 % 78.23/11.60 (axiom206) % 78.23/11.60 ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: B$] : ! [v2: A$] : ! % 78.23/11.60 [v3: A$] : ! [v4: A_bool_fun$] : ( ~ (mapsTo$(v0, v1, v2) = v4) | ~ % 78.23/11.60 (fun_app$l(v4, v3) = 0) | ~ A$(v3) | ~ A$(v2) | ~ B$(v1) | ~ % 78.23/11.60 A_b_b_c_LSCategory_ext_Category_ext$(v0) | ? [v5: any] : ? [v6: A_set$] : % 78.23/11.60 ? [v7: any] : (category$c(v0) = v5 & obj$b(v0) = v6 & member$i(v2, v6) = v7 % 78.23/11.60 & A_set$(v6) & ( ~ (v5 = 0) | v7 = 0))) % 78.23/11.60 % 78.23/11.60 (axiom210) % 78.23/11.61 ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: B$] : ! [v2: A$] : ! % 78.23/11.61 [v3: A$] : ! [v4: A_bool_fun$] : ( ~ (mapsTo$(v0, v1, v2) = v4) | ~ % 78.23/11.61 (fun_app$l(v4, v3) = 0) | ~ A$(v3) | ~ A$(v2) | ~ B$(v1) | ~ % 78.23/11.61 A_b_b_c_LSCategory_ext_Category_ext$(v0) | ? [v5: any] : ? [v6: A_set$] : % 78.23/11.61 ? [v7: any] : (category$c(v0) = v5 & obj$b(v0) = v6 & member$i(v3, v6) = v7 % 78.23/11.61 & A_set$(v6) & ( ~ (v5 = 0) | v7 = 0))) % 78.23/11.61 % 78.23/11.61 (axiom35) % 78.23/11.61 lSCategory$(c$) = 0 & A_b_b_c_LSCategory_ext_Category_ext$(c$) % 78.23/11.61 % 78.23/11.61 (axiom36) % 78.23/11.61 A$(x$) & A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0: A_set$] : % 78.23/11.61 (obj$b(c$) = v0 & member$i(x$, v0) = 0 & A_set$(v0)) % 78.23/11.61 % 78.23/11.61 (axiom37) % 78.23/11.61 A$(y$) & A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0: A_set$] : % 78.23/11.61 (obj$b(c$) = v0 & member$i(y$, v0) = 0 & A_set$(v0)) % 78.23/11.61 % 78.23/11.61 (axiom38) % 78.23/11.61 A$(y$) & A$(x$) & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(eta$) & % 78.23/11.61 A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0: % 78.23/11.61 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.23/11.61 : ? [v1: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v2: % 78.23/11.61 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ? [v3: % 78.23/11.61 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (yFtor$(c$) = v0 & % 78.23/11.61 nt_abbrev$(eta$, v1) = v2 & fun_app$f(v2, v3) = 0 & mapO$(v0, y$) = v3 & % 78.23/11.61 mapO$(v0, x$) = v1 & % 78.23/11.61 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0) % 78.23/11.61 & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$(v2) & % 78.23/11.61 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v3) & % 78.23/11.61 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1)) % 78.23/11.61 % 78.23/11.61 (axiom39) % 78.23/11.61 A$(y$) & A$(x$) & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(eta$) & % 78.23/11.61 A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0: ZF$] : ? [v1: % 78.23/11.61 ZF_bool_fun$] : ? [v2: ZF$] : (yMap$(c$, x$, eta$) = v0 & homSet$(c$, x$, % 78.23/11.61 y$) = v2 & elem$(v0) = v1 & fun_app$b(v1, v2) = 0 & ZF$(v2) & ZF$(v0) & % 78.23/11.61 ZF_bool_fun$(v1)) % 78.23/11.61 % 78.23/11.61 (axiom40) % 78.23/11.62 A$(y$) & A$(x$) & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(eta$) & % 78.23/11.62 A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0: % 78.23/11.62 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.23/11.62 : ? [v1: B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ? % 78.23/11.62 [v2: ZF$] : ? [v3: B$] : ? [v4: % 78.23/11.62 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v5: % 78.23/11.62 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v6: B_ZF_fun$] : % 78.23/11.62 ? [v7: ZF$] : (yMapInv$(c$, x$, v5, v7) = v4 & yMap$(c$, x$, eta$) = v2 & % 78.23/11.62 yFtor$(c$) = v0 & zF2mor$(c$, v2) = v3 & mor2ZF$(c$) = v6 & mapM$(v0) = v1 & % 78.23/11.62 fun_app$q(v1, v3) = v4 & fun_app$p(v6, v3) = v7 & mapO$(v0, y$) = v5 & % 78.23/11.62 B_ZF_fun$(v6) & ZF$(v7) & ZF$(v2) & % 78.23/11.62 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0) % 78.23/11.62 & B$(v3) & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v4) & % 78.23/11.62 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v5) & % 78.23/11.62 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$(v1)) % 78.23/11.62 % 78.23/11.62 (axiom41) % 78.23/11.62 A$(y$) & A$(x$) & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(eta$) & % 78.23/11.62 A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0: ZF$] : ? [v1: B$] : ? % 78.23/11.62 [v2: A_bool_fun$] : (yMap$(c$, x$, eta$) = v0 & mapsTo$(c$, v1, x$) = v2 & % 78.23/11.62 zF2mor$(c$, v0) = v1 & fun_app$l(v2, y$) = 0 & ZF$(v0) & A_bool_fun$(v2) & % 78.23/11.62 B$(v1)) % 78.23/11.62 % 78.23/11.62 (axiom42) % 78.23/11.62 A$(y$) & A$(x$) & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(eta$) & % 78.23/11.62 A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0: ZF$] : ? [v1: % 78.23/11.62 ZF_bool_fun$] : ? [v2: % 78.23/11.62 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.23/11.62 : ? [v3: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v4: ZF$] % 78.23/11.62 : (yMap$(c$, x$, eta$) = v0 & yFtor$(c$) = v2 & mapO$a(v3, x$) = v4 & % 78.23/11.62 mapO$(v2, y$) = v3 & elem$(v0) = v1 & fun_app$b(v1, v4) = 0 & ZF$(v4) & % 78.23/11.62 ZF$(v0) & ZF_bool_fun$(v1) & % 78.23/11.62 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$(v2) % 78.23/11.62 & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v3)) % 78.23/11.62 % 78.23/11.62 (axiom43) % 78.23/11.62 ZF_ZF_unit_Category_ext$(set$) & A$(y$) & % 78.23/11.62 A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0: % 78.23/11.62 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.23/11.62 : ? [v1: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v2: % 78.23/11.62 A_b_b_c_LSCategory_ext_Category_ext$] : (oppositeCategory$(c$) = v2 & % 78.23/11.62 yFtor$(c$) = v0 & functor_abbrev$(v1, v2, set$) = 0 & mapO$(v0, y$) = v1 & % 78.23/11.62 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0) % 78.23/11.62 & A_b_b_c_LSCategory_ext_Category_ext$(v2) & % 78.23/11.62 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1)) % 78.23/11.62 % 78.23/11.62 (axiom44) % 78.23/11.63 ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: A$] : ! [v2: % 78.23/11.63 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.23/11.63 : ! [v3: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ( ~ % 78.23/11.63 (yFtor$(v0) = v2) | ~ (mapO$(v2, v1) = v3) | ~ A$(v1) | ~ % 78.23/11.63 A_b_b_c_LSCategory_ext_Category_ext$(v0) | ? [v4: any] : ? [v5: A_set$] : % 78.23/11.63 ? [v6: any] : ? [v7: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : % 78.23/11.63 (homFtorContra$(v0, v1) = v7 & obj$b(v0) = v5 & lSCategory$(v0) = v4 & % 78.23/11.63 member$i(v1, v5) = v6 & A_set$(v5) & % 78.23/11.63 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v7) & ( ~ (v6 = 0) | % 78.23/11.63 ~ (v4 = 0) | v7 = v3))) % 78.23/11.63 % 78.23/11.63 (axiom46) % 78.23/11.63 ZF_ZF_unit_Category_ext$(set$) & ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] % 78.23/11.63 : ! [v1: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] : % 78.23/11.63 ! [v3: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v4: % 78.23/11.63 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.23/11.63 : ! [v5: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v6: % 78.23/11.63 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ( ~ % 78.23/11.63 (yFtor$(v0) = v4) | ~ (nt_abbrev$(v3, v5) = v6) | ~ (fun_app$f(v6, v1) = % 78.23/11.63 0) | ~ (mapO$(v4, v2) = v5) | ~ A$(v2) | ~ % 78.23/11.63 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v3) | ~ % 78.23/11.63 A_b_b_c_LSCategory_ext_Category_ext$(v0) | ~ % 78.23/11.63 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1) | ? [v7: any] : ? % 78.23/11.63 [v8: A_b_b_c_LSCategory_ext_Category_ext$] : ? [v9: any] : ? [v10: A_set$] % 78.23/11.63 : ? [v11: any] : ? [v12: ZF$] : ? [v13: % 78.23/11.63 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : % 78.23/11.63 (oppositeCategory$(v0) = v8 & yMapInv$(v0, v2, v1, v12) = v13 & yMap$(v0, % 78.23/11.63 v2, v3) = v12 & obj$b(v0) = v10 & lSCategory$(v0) = v7 & % 78.23/11.63 functor_abbrev$(v1, v8, set$) = v9 & member$i(v2, v10) = v11 & ZF$(v12) & % 78.23/11.63 A_set$(v10) & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v13) & % 78.23/11.63 A_b_b_c_LSCategory_ext_Category_ext$(v8) & ( ~ (v11 = 0) | ~ (v9 = 0) | % 78.23/11.63 ~ (v7 = 0) | v13 = v3))) % 78.23/11.63 % 78.23/11.63 (axiom48) % 78.23/11.63 ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: A$] : ! [v2: A$] : ! % 78.23/11.63 [v3: % 78.23/11.63 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.23/11.63 : ! [v4: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v5: ZF$] % 78.23/11.63 : ( ~ (yFtor$(v0) = v3) | ~ (mapO$a(v4, v1) = v5) | ~ (mapO$(v3, v2) = v4) | % 78.23/11.63 ~ A$(v2) | ~ A$(v1) | ~ A_b_b_c_LSCategory_ext_Category_ext$(v0) | ? % 78.23/11.63 [v6: any] : ? [v7: A_set$] : ? [v8: any] : ? [v9: any] : ? [v10: ZF$] : % 78.23/11.63 (obj$b(v0) = v7 & lSCategory$(v0) = v6 & homSet$(v0, v1, v2) = v10 & % 78.23/11.63 member$i(v2, v7) = v9 & member$i(v1, v7) = v8 & ZF$(v10) & A_set$(v7) & ( % 78.23/11.63 ~ (v9 = 0) | ~ (v8 = 0) | ~ (v6 = 0) | v10 = v5))) % 78.23/11.63 % 78.23/11.63 (axiom67) % 78.23/11.63 ZF_ZF_unit_Category_ext$(set$) & ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] % 78.23/11.63 : ! [v1: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] : % 78.23/11.63 ! [v3: ZF$] : ! [v4: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v5: % 78.23/11.63 ZF_bool_fun$] : ! [v6: ZF$] : ( ~ (oppositeCategory$(v0) = v4) | ~ % 78.23/11.63 (functor_abbrev$(v1, v4, set$) = 0) | ~ (mapO$a(v1, v2) = v6) | ~ % 78.23/11.63 (elem$(v3) = v5) | ~ (fun_app$b(v5, v6) = 0) | ~ ZF$(v3) | ~ A$(v2) | ~ % 78.23/11.63 A_b_b_c_LSCategory_ext_Category_ext$(v0) | ~ % 78.23/11.63 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1) | ? [v7: any] : ? % 78.23/11.63 [v8: A_set$] : ? [v9: any] : ? [v10: % 78.23/11.63 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v11: ZF$] : % 78.23/11.63 (yMapInv$(v0, v2, v1, v3) = v10 & yMap$(v0, v2, v10) = v11 & obj$b(v0) = v8 % 78.23/11.63 & lSCategory$(v0) = v7 & member$i(v2, v8) = v9 & ZF$(v11) & A_set$(v8) & % 78.23/11.63 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v10) & ( ~ (v9 = 0) | % 78.23/11.63 ~ (v7 = 0) | v11 = v3))) % 78.23/11.63 % 78.23/11.63 (axiom71) % 78.23/11.64 ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: A$] : ! [v2: A$] : ! % 78.23/11.64 [v3: ZF$] : ! [v4: A_set$] : ! [v5: B$] : ! [v6: B_ZF_fun$] : ! [v7: ZF$] % 78.23/11.64 : ( ~ (obj$b(v0) = v4) | ~ (zF2mor$(v0, v3) = v5) | ~ (mor2ZF$(v0) = v6) | % 78.23/11.64 ~ (fun_app$p(v6, v5) = v7) | ~ (member$i(v2, v4) = 0) | ~ (member$i(v1, % 78.23/11.64 v4) = 0) | ~ ZF$(v3) | ~ A$(v2) | ~ A$(v1) | ~ % 78.23/11.64 A_b_b_c_LSCategory_ext_Category_ext$(v0) | ? [v8: any] : ? [v9: % 78.23/11.64 ZF_bool_fun$] : ? [v10: ZF$] : ? [v11: any] : ? [v12: A_bool_fun$] : ? % 78.23/11.64 [v13: any] : (lSCategory$(v0) = v8 & homSet$(v0, v1, v2) = v10 & mapsTo$(v0, % 78.23/11.64 v5, v1) = v12 & fun_app$l(v12, v2) = v13 & elem$(v3) = v9 & % 78.23/11.64 fun_app$b(v9, v10) = v11 & ZF$(v10) & ZF_bool_fun$(v9) & A_bool_fun$(v12) % 78.23/11.64 & ( ~ (v11 = 0) | ~ (v8 = 0) | (v13 = 0 & v7 = v3)))) % 78.23/11.64 % 78.23/11.64 (axiom80) % 78.23/11.64 ZF_ZF_unit_Category_ext$(set$) & % 78.23/11.64 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$(natTransP$) & ! % 78.23/11.64 [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.23/11.64 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] : ! [v3: % 78.23/11.64 ZF$] : ! [v4: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v5: ZF_bool_fun$] % 78.23/11.64 : ! [v6: ZF$] : ( ~ (oppositeCategory$(v0) = v4) | ~ (functor_abbrev$(v1, % 78.23/11.64 v4, set$) = 0) | ~ (mapO$a(v1, v2) = v6) | ~ (elem$(v3) = v5) | ~ % 78.23/11.64 (fun_app$b(v5, v6) = 0) | ~ ZF$(v3) | ~ A$(v2) | ~ % 78.23/11.64 A_b_b_c_LSCategory_ext_Category_ext$(v0) | ~ % 78.23/11.64 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1) | ? [v7: any] : ? % 78.23/11.64 [v8: A_set$] : ? [v9: any] : ? [v10: % 78.23/11.64 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v11: any] : % 78.23/11.64 (yMapInv$a(v0, v2, v1, v3) = v10 & obj$b(v0) = v8 & lSCategory$(v0) = v7 & % 78.23/11.64 member$i(v2, v8) = v9 & fun_app$e(natTransP$, v10) = v11 & A_set$(v8) & % 78.23/11.64 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v10) & ( ~ (v9 = 0) | % 78.23/11.64 ~ (v7 = 0) | v11 = 0))) % 78.23/11.64 % 78.23/11.64 (axiom82) % 78.23/11.64 ZF_ZF_unit_Category_ext$(set$) & % 78.23/11.64 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$(natTrans$) & ! % 78.23/11.64 [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.23/11.64 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] : ! [v3: % 78.23/11.64 ZF$] : ! [v4: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v5: ZF_bool_fun$] % 78.23/11.64 : ! [v6: ZF$] : ( ~ (oppositeCategory$(v0) = v4) | ~ (functor_abbrev$(v1, % 78.23/11.64 v4, set$) = 0) | ~ (mapO$a(v1, v2) = v6) | ~ (elem$(v3) = v5) | ~ % 78.23/11.64 (fun_app$b(v5, v6) = 0) | ~ ZF$(v3) | ~ A$(v2) | ~ % 78.23/11.64 A_b_b_c_LSCategory_ext_Category_ext$(v0) | ~ % 78.23/11.64 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1) | ? [v7: any] : ? % 78.23/11.64 [v8: A_set$] : ? [v9: any] : ? [v10: % 78.23/11.64 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v11: any] : % 78.23/11.64 (yMapInv$(v0, v2, v1, v3) = v10 & obj$b(v0) = v8 & lSCategory$(v0) = v7 & % 78.23/11.64 member$i(v2, v8) = v9 & fun_app$e(natTrans$, v10) = v11 & A_set$(v8) & % 78.23/11.64 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v10) & ( ~ (v9 = 0) | % 78.23/11.64 ~ (v7 = 0) | v11 = 0))) % 78.23/11.64 % 78.23/11.64 (axiom84) % 78.23/11.64 ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: B$] : ! [v2: % 78.23/11.64 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.23/11.64 : ! [v3: B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ! % 78.23/11.64 [v4: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ( ~ (yFtor$(v0) = % 78.23/11.64 v2) | ~ (mapM$(v2) = v3) | ~ (fun_app$q(v3, v1) = v4) | ~ B$(v1) | ~ % 78.23/11.64 A_b_b_c_LSCategory_ext_Category_ext$(v0) | ? [v5: any] : ? [v6: B_set$] : % 78.23/11.64 ? [v7: any] : ? [v8: % 78.23/11.64 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ? [v9: % 78.23/11.64 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (yFtorNT$(v0) = v8 % 78.23/11.64 & lSCategory$(v0) = v5 & mor$(v0) = v6 & fun_app$q(v8, v1) = v9 & % 78.23/11.64 member$h(v1, v6) = v7 & B_set$(v6) & % 78.23/11.64 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v9) & % 78.23/11.64 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$(v8) & ( ~ (v7 = % 78.23/11.64 0) | ~ (v5 = 0) | v9 = v4))) % 78.23/11.64 % 78.23/11.65 (conjecture34) % 78.23/11.65 A$(y$) & A$(x$) & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(eta$) & % 78.23/11.65 A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0: % 78.23/11.65 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.23/11.65 : ? [v1: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v2: % 78.23/11.65 B_ZF_fun$] : ? [v3: ZF$] : ? [v4: B$] : ? [v5: ZF$] : ? [v6: % 78.23/11.65 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v7: % 78.23/11.65 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ( ~ (v7 = v6) & % 78.23/11.65 yMapInv$(c$, x$, v1, v5) = v6 & yMapInv$(c$, x$, v1, v3) = v7 & yMap$(c$, % 78.23/11.65 x$, eta$) = v3 & yFtor$(c$) = v0 & zF2mor$(c$, v3) = v4 & mor2ZF$(c$) = v2 % 78.23/11.65 & fun_app$p(v2, v4) = v5 & mapO$(v0, y$) = v1 & B_ZF_fun$(v2) & ZF$(v5) & % 78.23/11.65 ZF$(v3) & % 78.23/11.65 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0) % 78.23/11.65 & B$(v4) & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v7) & % 78.23/11.65 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v6) & % 78.23/11.65 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1)) % 78.23/11.65 % 78.23/11.65 (function-axioms) % 78.67/11.77 ! [v0: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : ! [v1: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : ! [v2: Unit$] : ! [v3: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$] % 78.67/11.77 : ! [v4: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] % 78.67/11.77 : ! [v5: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$] % 78.67/11.77 : ! [v6: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$] % 78.67/11.77 : ! [v7: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$] : ! [v8: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$] : (v1 = v0 | ~ % 78.67/11.77 (category_ext$b(v8, v7, v6, v5, v4, v3, v2) = v1) | ~ (category_ext$b(v8, % 78.67/11.77 v7, v6, v5, v4, v3, v2) = v0)) & ! [v0: ZF_ZF_unit_Category_ext$] : ! % 78.67/11.77 [v1: ZF_ZF_unit_Category_ext$] : ! [v2: Unit$] : ! [v3: ZF_ZF_ZF_fun_fun$] : % 78.67/11.77 ! [v4: ZF_ZF_fun$] : ! [v5: ZF_ZF_fun$] : ! [v6: ZF_ZF_fun$] : ! [v7: % 78.67/11.77 ZF_set$] : ! [v8: ZF_set$] : (v1 = v0 | ~ (category_ext$a(v8, v7, v6, v5, % 78.67/11.77 v4, v3, v2) = v1) | ~ (category_ext$a(v8, v7, v6, v5, v4, v3, v2) = % 78.67/11.77 v0)) & ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.67/11.77 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: B_c_LSCategory_ext$] : ! % 78.67/11.77 [v3: B_b_b_fun_fun$] : ! [v4: A_b_fun$] : ! [v5: B_a_fun$] : ! [v6: % 78.67/11.77 B_a_fun$] : ! [v7: B_set$] : ! [v8: A_set$] : (v1 = v0 | ~ % 78.67/11.77 (category_ext$(v8, v7, v6, v5, v4, v3, v2) = v1) | ~ (category_ext$(v8, v7, % 78.67/11.77 v6, v5, v4, v3, v2) = v0)) & ! [v0: % 78.67/11.77 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] % 78.67/11.77 : ! [v1: % 78.67/11.77 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] % 78.67/11.77 : ! [v2: Unit$] : ! [v3: % 78.67/11.77 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ! [v4: % 78.67/11.77 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v5: % 78.67/11.77 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.77 : (v1 = v0 | ~ (natTrans_ext$a(v5, v4, v3, v2) = v1) | ~ (natTrans_ext$a(v5, % 78.67/11.77 v4, v3, v2) = v0)) & ! [v0: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2: Unit$] : ! % 78.67/11.77 [v3: A_ZF_fun$] : ! [v4: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v5: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.77 (natTrans_ext$(v5, v4, v3, v2) = v1) | ~ (natTrans_ext$(v5, v4, v3, v2) = % 78.67/11.77 v0)) & ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! % 78.67/11.77 [v1: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: Unit$] : % 78.67/11.77 ! [v3: B_ZF_fun$] : ! [v4: ZF_ZF_unit_Category_ext$] : ! [v5: % 78.67/11.77 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (functor_ext$a(v5, v4, % 78.67/11.77 v3, v2) = v1) | ~ (functor_ext$a(v5, v4, v3, v2) = v0)) & ! [v0: % 78.67/11.77 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v1: % 78.67/11.77 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v2: Unit$] : ! [v3: % 78.67/11.77 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ! [v4: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : ! [v5: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ % 78.67/11.77 (functor_ext$(v5, v4, v3, v2) = v1) | ~ (functor_ext$(v5, v4, v3, v2) = % 78.67/11.77 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v4: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v5: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : (v1 = v0 | ~ (mapsTo$c(v5, v4, v3, v2) = v1) | ~ (mapsTo$c(v5, v4, v3, v2) % 78.67/11.77 = v0)) & ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : % 78.67/11.77 ! [v1: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2: ZF$] : % 78.67/11.77 ! [v3: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v4: A$] : ! % 78.67/11.77 [v5: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (yMapInv$a(v5, v4, % 78.67/11.77 v3, v2) = v1) | ~ (yMapInv$a(v5, v4, v3, v2) = v0)) & ! [v0: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2: ZF$] : ! % 78.67/11.77 [v3: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v4: A$] : ! % 78.67/11.77 [v5: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (yMapInv$(v5, v4, % 78.67/11.77 v3, v2) = v1) | ~ (yMapInv$(v5, v4, v3, v2) = v0)) & ! [v0: A_ZF_fun$] % 78.67/11.77 : ! [v1: A_ZF_fun$] : ! [v2: ZF$] : ! [v3: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v4: A$] : ! [v5: % 78.67/11.77 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (uur$(v5, v4, v3, v2) % 78.67/11.77 = v1) | ~ (uur$(v5, v4, v3, v2) = v0)) & ! [v0: ZF_set$] : ! [v1: % 78.67/11.77 ZF_set$] : ! [v2: A$] : ! [v3: A$] : ! [v4: % 78.67/11.77 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (hOMCollection$(v4, % 78.67/11.77 v3, v2) = v1) | ~ (hOMCollection$(v4, v3, v2) = v0)) & ! [v0: % 78.67/11.77 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v3: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v4: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : (v1 = v0 | ~ (compDefined$c(v4, v3, v2) = v1) | ~ (compDefined$c(v4, v3, % 78.67/11.77 v2) = v0)) & ! [v0: ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v1: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v2: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v3: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v4: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : (v1 = v0 | ~ (comp$c(v4, v3, v2) = v1) | ~ (comp$c(v4, v3, v2) = v0)) & ! % 78.67/11.77 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v4: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ (nt_abbrev$d(v4, % 78.67/11.77 v3, v2) = v1) | ~ (nt_abbrev$d(v4, v3, v2) = v0)) & ! [v0: % 78.67/11.77 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.77 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v3: % 78.67/11.77 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v4: % 78.67/11.77 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 | ~ % 78.67/11.77 (nt_abbrev$c(v4, v3, v2) = v1) | ~ (nt_abbrev$c(v4, v3, v2) = v0)) & ! % 78.67/11.77 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.77 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v3: % 78.67/11.77 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v4: % 78.67/11.77 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 % 78.67/11.77 | ~ (nt_abbrev$b(v4, v3, v2) = v1) | ~ (nt_abbrev$b(v4, v3, v2) = v0)) & % 78.67/11.77 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.77 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v3: % 78.67/11.77 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v4: % 78.67/11.77 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] % 78.67/11.77 : (v1 = v0 | ~ (nt_abbrev$a(v4, v3, v2) = v1) | ~ (nt_abbrev$a(v4, v3, v2) = % 78.67/11.77 v0)) & ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! % 78.67/11.77 [v1: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v4: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : (v1 = v0 | ~ (comp$b(v4, v3, v2) = v1) | ~ (comp$b(v4, v3, v2) = v0)) & ! % 78.67/11.77 [v0: % 78.67/11.77 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v1: % 78.67/11.77 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v2: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : ! [v4: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (constFunctor$s(v4, v3, % 78.67/11.77 v2) = v1) | ~ (constFunctor$s(v4, v3, v2) = v0)) & ! [v0: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v1: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v2: ZF$] : ! [v3: ZF_ZF_unit_Category_ext$] : ! [v4: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : (v1 = v0 | ~ (constFunctor$r(v4, v3, v2) = v1) | ~ (constFunctor$r(v4, v3, % 78.67/11.77 v2) = v0)) & ! [v0: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] % 78.67/11.77 : ! [v1: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] % 78.67/11.77 : ! [v2: A$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v4: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : (v1 = v0 | ~ (constFunctor$q(v4, v3, v2) = v1) | ~ (constFunctor$q(v4, v3, % 78.67/11.77 v2) = v0)) & ! [v0: % 78.67/11.77 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v1: % 78.67/11.77 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : ! [v4: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ % 78.67/11.77 (constFunctor$p(v4, v3, v2) = v1) | ~ (constFunctor$p(v4, v3, v2) = v0)) & % 78.67/11.77 ! [v0: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v1: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v2: ZF$] : ! [v3: ZF_ZF_unit_Category_ext$] : ! [v4: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : (v1 = v0 | ~ (constFunctor$o(v4, v3, v2) = v1) | ~ (constFunctor$o(v4, v3, % 78.67/11.77 v2) = v0)) & ! [v0: % 78.67/11.77 ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v1: % 78.67/11.77 ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : ! [v4: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (constFunctor$n(v4, v3, % 78.67/11.77 v2) = v1) | ~ (constFunctor$n(v4, v3, v2) = v0)) & ! [v0: % 78.67/11.77 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1: % 78.67/11.77 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2: % 78.67/11.77 A$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v4: % 78.67/11.77 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (constFunctor$m(v4, % 78.67/11.77 v3, v2) = v1) | ~ (constFunctor$m(v4, v3, v2) = v0)) & ! [v0: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: ZF$] : ! % 78.67/11.77 [v3: ZF_ZF_unit_Category_ext$] : ! [v4: A_b_b_c_LSCategory_ext_Category_ext$] % 78.67/11.77 : (v1 = v0 | ~ (constFunctor$l(v4, v3, v2) = v1) | ~ (constFunctor$l(v4, v3, % 78.67/11.77 v2) = v0)) & ! [v0: % 78.67/11.77 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1: % 78.67/11.77 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2: A$] : ! [v3: % 78.67/11.77 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v4: ZF_ZF_unit_Category_ext$] : % 78.67/11.77 (v1 = v0 | ~ (constFunctor$k(v4, v3, v2) = v1) | ~ (constFunctor$k(v4, v3, % 78.67/11.77 v2) = v0)) & ! [v0: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2: ZF$] : ! [v3: % 78.67/11.77 ZF_ZF_unit_Category_ext$] : ! [v4: ZF_ZF_unit_Category_ext$] : (v1 = v0 | % 78.67/11.77 ~ (constFunctor$j(v4, v3, v2) = v1) | ~ (constFunctor$j(v4, v3, v2) = v0)) % 78.67/11.77 & ! [v0: % 78.67/11.77 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v1: % 78.67/11.77 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v2: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : ! [v4: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (constFunctor$i(v4, v3, % 78.67/11.77 v2) = v1) | ~ (constFunctor$i(v4, v3, v2) = v0)) & ! [v0: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v1: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v2: ZF$] : ! [v3: ZF_ZF_unit_Category_ext$] : ! [v4: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : (v1 = v0 | ~ (constFunctor$h(v4, v3, v2) = v1) | ~ (constFunctor$h(v4, v3, % 78.67/11.77 v2) = v0)) & ! [v0: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] % 78.67/11.77 : ! [v1: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] % 78.67/11.77 : ! [v2: A$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v4: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : (v1 = v0 | ~ (constFunctor$g(v4, v3, v2) = v1) | ~ (constFunctor$g(v4, v3, % 78.67/11.77 v2) = v0)) & ! [v0: % 78.67/11.77 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v1: % 78.67/11.77 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : ! [v4: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ % 78.67/11.77 (constFunctor$f(v4, v3, v2) = v1) | ~ (constFunctor$f(v4, v3, v2) = v0)) & % 78.67/11.77 ! [v0: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v1: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v2: ZF$] : ! [v3: ZF_ZF_unit_Category_ext$] : ! [v4: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : (v1 = v0 | ~ (constFunctor$e(v4, v3, v2) = v1) | ~ (constFunctor$e(v4, v3, % 78.67/11.77 v2) = v0)) & ! [v0: % 78.67/11.77 ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v1: % 78.67/11.77 ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : ! [v4: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (constFunctor$d(v4, v3, % 78.67/11.77 v2) = v1) | ~ (constFunctor$d(v4, v3, v2) = v0)) & ! [v0: % 78.67/11.77 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1: % 78.67/11.77 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2: % 78.67/11.77 A$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v4: % 78.67/11.77 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (constFunctor$c(v4, % 78.67/11.77 v3, v2) = v1) | ~ (constFunctor$c(v4, v3, v2) = v0)) & ! [v0: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: ZF$] : ! % 78.67/11.77 [v3: ZF_ZF_unit_Category_ext$] : ! [v4: A_b_b_c_LSCategory_ext_Category_ext$] % 78.67/11.77 : (v1 = v0 | ~ (constFunctor$b(v4, v3, v2) = v1) | ~ (constFunctor$b(v4, v3, % 78.67/11.77 v2) = v0)) & ! [v0: % 78.67/11.77 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1: % 78.67/11.77 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2: A$] : ! [v3: % 78.67/11.77 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v4: ZF_ZF_unit_Category_ext$] : % 78.67/11.77 (v1 = v0 | ~ (constFunctor$a(v4, v3, v2) = v1) | ~ (constFunctor$a(v4, v3, % 78.67/11.77 v2) = v0)) & ! [v0: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2: ZF$] : ! [v3: % 78.67/11.77 ZF_ZF_unit_Category_ext$] : ! [v4: ZF_ZF_unit_Category_ext$] : (v1 = v0 | % 78.67/11.77 ~ (constFunctor$(v4, v3, v2) = v1) | ~ (constFunctor$(v4, v3, v2) = v0)) & % 78.67/11.77 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v4: % 78.67/11.77 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.77 : (v1 = v0 | ~ (functor_abbrev$f(v4, v3, v2) = v1) | ~ (functor_abbrev$f(v4, % 78.67/11.77 v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 78.67/11.77 : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v3: % 78.67/11.77 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v4: % 78.67/11.77 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 % 78.67/11.77 | ~ (functor_abbrev$e(v4, v3, v2) = v1) | ~ (functor_abbrev$e(v4, v3, v2) % 78.67/11.77 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.77 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v3: ZF_ZF_unit_Category_ext$] : % 78.67/11.77 ! [v4: ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.77 (functor_abbrev$d(v4, v3, v2) = v1) | ~ (functor_abbrev$d(v4, v3, v2) = % 78.67/11.77 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.77 ZF_ZF_unit_Category_ext$] : ! [v3: ZF_ZF_unit_Category_ext$] : ! [v4: % 78.67/11.77 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.77 (functor_abbrev$c(v4, v3, v2) = v1) | ~ (functor_abbrev$c(v4, v3, v2) = % 78.67/11.77 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.77 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v3: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : ! [v4: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] % 78.67/11.77 : (v1 = v0 | ~ (functor_abbrev$b(v4, v3, v2) = v1) | ~ (functor_abbrev$b(v4, % 78.67/11.77 v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 78.67/11.77 : ! [v2: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : ! [v3: ZF_ZF_unit_Category_ext$] : ! [v4: % 78.67/11.77 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.77 : (v1 = v0 | ~ (functor_abbrev$a(v4, v3, v2) = v1) | ~ (functor_abbrev$a(v4, % 78.67/11.77 v3, v2) = v0)) & ! [v0: ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: % 78.67/11.77 ZF$] : ! [v3: ZF$] : ! [v4: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ % 78.67/11.77 (mapsTo$b(v4, v3, v2) = v1) | ~ (mapsTo$b(v4, v3, v2) = v0)) & ! [v0: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v1: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v2: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v4: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.77 : (v1 = v0 | ~ (mapsTo$a(v4, v3, v2) = v1) | ~ (mapsTo$a(v4, v3, v2) = v0)) % 78.67/11.77 & ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3: A$] : ! % 78.67/11.77 [v4: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (yMap$(v4, v3, v2) % 78.67/11.77 = v1) | ~ (yMap$(v4, v3, v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : ! % 78.67/11.77 [v2: A$] : ! [v3: A$] : ! [v4: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = % 78.67/11.77 v0 | ~ (homSet$(v4, v3, v2) = v1) | ~ (homSet$(v4, v3, v2) = v0)) & ! % 78.67/11.77 [v0: ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: A$] : ! [v3: A$] : ! % 78.67/11.77 [v4: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (uvf$(v4, v3, v2) = % 78.67/11.77 v1) | ~ (uvf$(v4, v3, v2) = v0)) & ! [v0: A_bool_fun$] : ! [v1: % 78.67/11.77 A_bool_fun$] : ! [v2: A$] : ! [v3: B$] : ! [v4: % 78.67/11.77 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (mapsTo$(v4, v3, v2) = % 78.67/11.77 v1) | ~ (mapsTo$(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 78.67/11.77 [v1: MultipleValueBool] : ! [v2: ZF_ZF_unit_Category_ext$] : ! [v3: % 78.67/11.77 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v4: % 78.67/11.77 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.77 (functor_abbrev$(v4, v3, v2) = v1) | ~ (functor_abbrev$(v4, v3, v2) = v0)) % 78.67/11.77 & ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: A$] : ! [v3: B$] : ! [v4: % 78.67/11.77 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (homFtorMapContra$(v4, % 78.67/11.77 v3, v2) = v1) | ~ (homFtorMapContra$(v4, v3, v2) = v0)) & ! [v0: B$] : % 78.67/11.77 ! [v1: B$] : ! [v2: B_b_prod$] : ! [v3: B_b_prod_set$] : ! [v4: % 78.67/11.77 B_b_prod_b_fun$] : (v1 = v0 | ~ (restrict$a(v4, v3, v2) = v1) | ~ % 78.67/11.77 (restrict$a(v4, v3, v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: % 78.67/11.77 ZF_ZF_prod$] : ! [v3: ZF_ZF_prod_set$] : ! [v4: ZF_ZF_prod_ZF_fun$] : (v1 % 78.67/11.77 = v0 | ~ (restrict$(v4, v3, v2) = v1) | ~ (restrict$(v4, v3, v2) = v0)) & % 78.67/11.77 ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: ZF_ZF_fun$] : ! [v3: ZF$] : ! [v4: ZF$] % 78.67/11.77 : (v1 = v0 | ~ (zFfun$(v4, v3, v2) = v1) | ~ (zFfun$(v4, v3, v2) = v0)) & ! % 78.67/11.77 [v0: ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2: % 78.67/11.77 ZF_ZF_unit_Category_ext$] : ! [v3: ZF_ZF_fun_ZF_ZF_fun_fun$] : (v1 = v0 | % 78.67/11.77 ~ (cod_update$(v3, v2) = v1) | ~ (cod_update$(v3, v2) = v0)) & ! [v0: % 78.67/11.77 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2: % 78.67/11.77 ZF_ZF_unit_Category_ext$] : ! [v3: ZF_ZF_fun_ZF_ZF_fun_fun$] : (v1 = v0 | % 78.67/11.77 ~ (id_update$(v3, v2) = v1) | ~ (id_update$(v3, v2) = v0)) & ! [v0: % 78.67/11.77 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2: % 78.67/11.77 ZF_ZF_unit_Category_ext$] : ! [v3: ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$] % 78.67/11.77 : (v1 = v0 | ~ (comp_update$(v3, v2) = v1) | ~ (comp_update$(v3, v2) = v0)) % 78.67/11.77 & ! [v0: ZF_ZF_ZF_fun_fun$] : ! [v1: ZF_ZF_ZF_fun_fun$] : ! [v2: % 78.67/11.77 ZF_ZF_ZF_fun_fun$] : ! [v3: ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$] : (v1 = % 78.67/11.77 v0 | ~ (fun_app$ae(v3, v2) = v1) | ~ (fun_app$ae(v3, v2) = v0)) & ! [v0: % 78.67/11.77 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v1: % 78.67/11.77 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v2: % 78.67/11.77 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.77 : ! [v3: % 78.67/11.77 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$] % 78.67/11.77 : (v1 = v0 | ~ (mapM_update$(v3, v2) = v1) | ~ (mapM_update$(v3, v2) = v0)) % 78.67/11.77 & ! [v0: B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ! % 78.67/11.77 [v1: B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ! [v2: % 78.67/11.77 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ! [v3: % 78.67/11.77 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$] % 78.67/11.77 : (v1 = v0 | ~ (fun_app$ad(v3, v2) = v1) | ~ (fun_app$ad(v3, v2) = v0)) & ! % 78.67/11.77 [v0: ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2: % 78.67/11.77 ZF_ZF_unit_Category_ext$] : ! [v3: ZF_ZF_fun_ZF_ZF_fun_fun$] : (v1 = v0 | % 78.67/11.77 ~ (dom_update$(v3, v2) = v1) | ~ (dom_update$(v3, v2) = v0)) & ! [v0: % 78.67/11.77 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2: % 78.67/11.77 ZF_ZF_unit_Category_ext$] : ! [v3: ZF_set_ZF_set_fun$] : (v1 = v0 | ~ % 78.67/11.77 (mor_update$(v3, v2) = v1) | ~ (mor_update$(v3, v2) = v0)) & ! [v0: % 78.67/11.77 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.67/11.77 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: % 78.67/11.77 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v3: A_set_a_set_fun$] : (v1 = v0 % 78.67/11.77 | ~ (obj_update$a(v3, v2) = v1) | ~ (obj_update$a(v3, v2) = v0)) & ! [v0: % 78.67/11.77 A_set$] : ! [v1: A_set$] : ! [v2: A_set$] : ! [v3: A_set_a_set_fun$] : % 78.67/11.77 (v1 = v0 | ~ (fun_app$ac(v3, v2) = v1) | ~ (fun_app$ac(v3, v2) = v0)) & ! % 78.67/11.77 [v0: ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2: % 78.67/11.77 ZF_ZF_unit_Category_ext$] : ! [v3: ZF_set_ZF_set_fun$] : (v1 = v0 | ~ % 78.67/11.77 (obj_update$(v3, v2) = v1) | ~ (obj_update$(v3, v2) = v0)) & ! [v0: % 78.67/11.77 ZF_set$] : ! [v1: ZF_set$] : ! [v2: ZF_set$] : ! [v3: ZF_set_ZF_set_fun$] % 78.67/11.77 : (v1 = v0 | ~ (fun_app$ab(v3, v2) = v1) | ~ (fun_app$ab(v3, v2) = v0)) & ! % 78.67/11.77 [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2: ZF_ZF_fun$] : ! [v3: % 78.67/11.77 ZF_ZF_fun_ZF_ZF_fun_fun$] : (v1 = v0 | ~ (fun_app$aa(v3, v2) = v1) | ~ % 78.67/11.77 (fun_app$aa(v3, v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: Nat$] : % 78.67/11.77 ! [v3: Nat_ZF_fun$] : (v1 = v0 | ~ (fun_app$z(v3, v2) = v1) | ~ % 78.67/11.77 (fun_app$z(v3, v2) = v0)) & ! [v0: ZF_ZF_unit_Category_ext$] : ! [v1: % 78.67/11.77 ZF_ZF_unit_Category_ext$] : ! [v2: ZF_ZF_unit_Category_ext$] : ! [v3: % 78.67/11.77 Unit_unit_fun$] : (v1 = v0 | ~ (more_update$(v3, v2) = v1) | ~ % 78.67/11.77 (more_update$(v3, v2) = v0)) & ! [v0: Unit$] : ! [v1: Unit$] : ! [v2: % 78.67/11.77 Unit$] : ! [v3: Unit_unit_fun$] : (v1 = v0 | ~ (fun_app$y(v3, v2) = v1) | % 78.67/11.78 ~ (fun_app$y(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 78.67/11.78 MultipleValueBool] : ! [v2: B_b_prod_b_fun_set$] : ! [v3: B_b_prod_b_fun$] % 78.67/11.78 : (v1 = v0 | ~ (member$p(v3, v2) = v1) | ~ (member$p(v3, v2) = v0)) & ! % 78.67/11.78 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 ZF_ZF_prod_ZF_fun_set$] : ! [v3: ZF_ZF_prod_ZF_fun$] : (v1 = v0 | ~ % 78.67/11.78 (member$o(v3, v2) = v1) | ~ (member$o(v3, v2) = v0)) & ! [v0: ZF_ZF_fun$] % 78.67/11.78 : ! [v1: ZF_ZF_fun$] : ! [v2: ZF_set$] : ! [v3: ZF_ZF_fun$] : (v1 = v0 | ~ % 78.67/11.78 (restrict$e(v3, v2) = v1) | ~ (restrict$e(v3, v2) = v0)) & ! [v0: % 78.67/11.78 B_a_fun$] : ! [v1: B_a_fun$] : ! [v2: B_set$] : ! [v3: B_a_fun$] : (v1 = % 78.67/11.78 v0 | ~ (restrict$c(v3, v2) = v1) | ~ (restrict$c(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_b_fun$] : ! [v1: A_b_fun$] : ! [v2: A_set$] : ! [v3: A_b_fun$] : (v1 = % 78.67/11.78 v0 | ~ (restrict$d(v3, v2) = v1) | ~ (restrict$d(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v2: ZF_ZF_unit_Category_ext$] : ! [v3: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (catExp$l(v3, v2) = % 78.67/11.78 v1) | ~ (catExp$l(v3, v2) = v0)) & ! [v0: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v2: ZF_ZF_unit_Category_ext$] : ! [v3: ZF_ZF_unit_Category_ext$] : (v1 % 78.67/11.78 = v0 | ~ (catExp$k(v3, v2) = v1) | ~ (catExp$k(v3, v2) = v0)) & ! [v0: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v1: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v2: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v3: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ % 78.67/11.78 (natTransComp$a(v3, v2) = v1) | ~ (natTransComp$a(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] % 78.67/11.78 : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] % 78.67/11.78 : ! [v2: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$] % 78.67/11.78 : (v1 = v0 | ~ (fun_app$x(v3, v2) = v1) | ~ (fun_app$x(v3, v2) = v0)) & ! % 78.67/11.78 [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] % 78.67/11.78 : (v1 = v0 | ~ (fun_app$w(v3, v2) = v1) | ~ (fun_app$w(v3, v2) = v0)) & ! % 78.67/11.78 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v3: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ % 78.67/11.78 (nTCompDefined$a(v3, v2) = v1) | ~ (nTCompDefined$a(v3, v2) = v0)) & ! % 78.67/11.78 [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$] % 78.67/11.78 : (v1 = v0 | ~ (fun_app$v(v3, v2) = v1) | ~ (fun_app$v(v3, v2) = v0)) & ! % 78.67/11.78 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: ZF_ZF_fun_set$] % 78.67/11.78 : ! [v3: ZF_ZF_fun$] : (v1 = v0 | ~ (member$n(v3, v2) = v1) | ~ % 78.67/11.78 (member$n(v3, v2) = v0)) & ! [v0: % 78.67/11.78 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ! [v1: % 78.67/11.78 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ! [v2: % 78.67/11.78 B_set$] : ! [v3: % 78.67/11.78 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : (v1 = v0 | ~ % 78.67/11.78 (restrict$b(v3, v2) = v1) | ~ (restrict$b(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_bool_fun$] : ! [v1: A_bool_fun$] : ! [v2: A$] : ! [v3: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (objIso$b(v3, v2) = % 78.67/11.78 v1) | ~ (objIso$b(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 78.67/11.78 MultipleValueBool] : ! [v2: % 78.67/11.78 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_set$] : ! [v3: % 78.67/11.78 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : (v1 = v0 | ~ % 78.67/11.78 (member$m(v3, v2) = v1) | ~ (member$m(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] % 78.67/11.78 : (v1 = v0 | ~ (fun_app$u(v3, v2) = v1) | ~ (fun_app$u(v3, v2) = v0)) & ! % 78.67/11.78 [v0: B_bool_fun$] : ! [v1: B_bool_fun$] : ! [v2: B$] : ! [v3: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (inverse_rel$a(v3, v2) % 78.67/11.78 = v1) | ~ (inverse_rel$a(v3, v2) = v0)) & ! [v0: B$] : ! [v1: B$] : ! % 78.67/11.78 [v2: ZF$] : ! [v3: ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : % 78.67/11.78 (v1 = v0 | ~ (natTransMap$c(v3, v2) = v1) | ~ (natTransMap$c(v3, v2) = v0)) % 78.67/11.78 & ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: A$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ % 78.67/11.78 (natTransMap$b(v3, v2) = v1) | ~ (natTransMap$b(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2: A$] : ! % 78.67/11.78 [v3: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] % 78.67/11.78 : (v1 = v0 | ~ (natTransMap$(v3, v2) = v1) | ~ (natTransMap$(v3, v2) = v0)) % 78.67/11.78 & ! [v0: ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: ZF$] : ! [v3: % 78.67/11.78 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (inverse_rel$(v3, v2) = v1) | ~ % 78.67/11.78 (inverse_rel$(v3, v2) = v0)) & ! [v0: B_c_LSCategory_ext$] : ! [v1: % 78.67/11.78 B_c_LSCategory_ext$] : ! [v2: C$] : ! [v3: B_ZF_fun$] : (v1 = v0 | ~ % 78.67/11.78 (lSCategory_ext$(v3, v2) = v1) | ~ (lSCategory_ext$(v3, v2) = v0)) & ! % 78.67/11.78 [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.78 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 % 78.67/11.78 | ~ (functorComp$i(v3, v2) = v1) | ~ (functorComp$i(v3, v2) = v0)) & ! % 78.67/11.78 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v3: A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : % 78.67/11.78 (v1 = v0 | ~ (functor_comp_def$h(v3, v2) = v1) | ~ (functor_comp_def$h(v3, % 78.67/11.78 v2) = v0)) & ! [v0: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v2: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v3: A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : % 78.67/11.78 (v1 = v0 | ~ (functorComp$h(v3, v2) = v1) | ~ (functorComp$h(v3, v2) = v0)) % 78.67/11.78 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v3: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.78 (functor_comp_def$g(v3, v2) = v1) | ~ (functor_comp_def$g(v3, v2) = v0)) & % 78.67/11.78 ! [v0: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v2: % 78.67/11.78 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v3: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.78 (functorComp$g(v3, v2) = v1) | ~ (functorComp$g(v3, v2) = v0)) & ! [v0: % 78.67/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v3: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (functor_comp_def$f(v3, v2) = v1) | ~ (functor_comp_def$f(v3, % 78.67/11.78 v2) = v0)) & ! [v0: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v3: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (functorComp$f(v3, v2) = v1) | ~ (functorComp$f(v3, v2) = % 78.67/11.78 v0)) & ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! % 78.67/11.78 [v1: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (mapO$h(v3, v2) = v1) | ~ (mapO$h(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : (v1 = v0 | ~ (compDefined$b(v3, v2) = v1) | ~ (compDefined$b(v3, v2) = % 78.67/11.78 v0)) & ! [v0: % 78.67/11.78 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v2: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v3: ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.78 (functorComp$e(v3, v2) = v1) | ~ (functorComp$e(v3, v2) = v0)) & ! [v0: % 78.67/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v3: ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.78 (functor_comp_def$e(v3, v2) = v1) | ~ (functor_comp_def$e(v3, v2) = v0)) & % 78.67/11.78 ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (mapM$g(v3, v2) = v1) | ~ (mapM$g(v3, v2) = v0)) & ! [v0: % 78.67/11.78 ZF$] : ! [v1: ZF$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (mapO$g(v3, v2) = v1) | ~ (mapO$g(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v3: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (functorComp$d(v3, v2) = v1) | ~ (functorComp$d(v3, v2) = % 78.67/11.78 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v3: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (functor_comp_def$d(v3, v2) = v1) | ~ (functor_comp_def$d(v3, % 78.67/11.78 v2) = v0)) & ! [v0: % 78.67/11.78 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1: % 78.67/11.78 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] % 78.67/11.78 : ! [v3: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (functorComp$c(v3, v2) = v1) | ~ (functorComp$c(v3, v2) = % 78.67/11.78 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] % 78.67/11.78 : ! [v3: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (functor_comp_def$c(v3, v2) = v1) | ~ (functor_comp_def$c(v3, % 78.67/11.78 v2) = v0)) & ! [v0: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.78 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.78 (functorComp$b(v3, v2) = v1) | ~ (functorComp$b(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.78 (functorComp$a(v3, v2) = v1) | ~ (functorComp$a(v3, v2) = v0)) & ! [v0: % 78.67/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.78 (functor_comp_def$a(v3, v2) = v1) | ~ (functor_comp_def$a(v3, v2) = v0)) & % 78.67/11.78 ! [v0: A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! % 78.67/11.78 [v1: A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! % 78.67/11.78 [v2: ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.78 (functorComp$(v3, v2) = v1) | ~ (functorComp$(v3, v2) = v0)) & ! [v0: % 78.67/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.78 (functor_comp_def$(v3, v2) = v1) | ~ (functor_comp_def$(v3, v2) = v0)) & ! % 78.67/11.78 [v0: ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: ZF$] : ! [v3: % 78.67/11.78 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (objIso$a(v3, v2) = v1) | ~ % 78.67/11.78 (objIso$a(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : (v1 = v0 | ~ (objIso$(v3, v2) = v1) | ~ (objIso$(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : (v1 = v0 | ~ (dom$b(v3, v2) = v1) | ~ (dom$b(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : (v1 = v0 | ~ (cod$b(v3, v2) = v1) | ~ (cod$b(v3, v2) = v0)) & ! [v0: A$] % 78.67/11.78 : ! [v1: A$] : ! [v2: B$] : ! [v3: B_a_fun$] : (v1 = v0 | ~ (fun_app$t(v3, % 78.67/11.78 v2) = v1) | ~ (fun_app$t(v3, v2) = v0)) & ! [v0: MultipleValueBool] : % 78.67/11.78 ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_set$] : ! [v3: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (member$l(v3, v2) = % 78.67/11.78 v1) | ~ (member$l(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v2: ZF_ZF_unit_Category_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : (v1 = v0 | ~ (catExp$j(v3, v2) = v1) | ~ (catExp$j(v3, v2) = v0)) & ! % 78.67/11.78 [v0: % 78.67/11.78 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v3: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (catExp$i(v3, v2) = v1) | % 78.67/11.78 ~ (catExp$i(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v2: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (catExp$h(v3, % 78.67/11.78 v2) = v1) | ~ (catExp$h(v3, v2) = v0)) & ! [v0: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v3: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : (v1 = v0 | ~ (catExp$g(v3, v2) = v1) | ~ (catExp$g(v3, v2) = v0)) & ! % 78.67/11.78 [v0: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v2: ZF_ZF_unit_Category_ext$] : ! [v3: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : (v1 = v0 | ~ (catExp$f(v3, v2) = v1) | ~ (catExp$f(v3, v2) = v0)) & ! % 78.67/11.78 [v0: % 78.67/11.78 ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v2: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v3: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (catExp$e(v3, v2) = v1) | % 78.67/11.78 ~ (catExp$e(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext_a_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext_a_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v3: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (catExp$d(v3, v2) = % 78.67/11.78 v1) | ~ (catExp$d(v3, v2) = v0)) & ! [v0: % 78.67/11.78 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v3: % 78.67/11.78 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (catExp$c(v3, v2) = v1) | ~ % 78.67/11.78 (catExp$c(v3, v2) = v0)) & ! [v0: B_ZF_fun$] : ! [v1: B_ZF_fun$] : ! [v2: % 78.67/11.78 A$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ % 78.67/11.78 (homFtorMap$(v3, v2) = v1) | ~ (homFtorMap$(v3, v2) = v0)) & ! [v0: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v2: ZF_ZF_unit_Category_ext$] : ! [v3: ZF_ZF_unit_Category_ext$] : (v1 % 78.67/11.78 = v0 | ~ (catExp$b(v3, v2) = v1) | ~ (catExp$b(v3, v2) = v0)) & ! [v0: % 78.67/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_set$] : ! [v3: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ (member$k(v3, v2) % 78.67/11.78 = v1) | ~ (member$k(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (catExp$a(v3, % 78.67/11.78 v2) = v1) | ~ (catExp$a(v3, v2) = v0)) & ! [v0: MultipleValueBool] : % 78.67/11.78 ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$] % 78.67/11.78 : ! [v3: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] % 78.67/11.78 : (v1 = v0 | ~ (member$j(v3, v2) = v1) | ~ (member$j(v3, v2) = v0)) & ! % 78.67/11.78 [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v2: ZF_ZF_unit_Category_ext$] : ! [v3: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (catExp$(v3, v2) = v1) % 78.67/11.78 | ~ (catExp$(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] : ! [v3: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (homFtorContra$a(v3, % 78.67/11.78 v2) = v1) | ~ (homFtorContra$a(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] : ! [v3: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (homFtor$a(v3, v2) = % 78.67/11.78 v1) | ~ (homFtor$a(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] : ! [v3: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (homFtor$(v3, v2) = % 78.67/11.78 v1) | ~ (homFtor$(v3, v2) = v0)) & ! [v0: B$] : ! [v1: B$] : ! [v2: % 78.67/11.78 B$] : ! [v3: % 78.67/11.78 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 % 78.67/11.78 | ~ (mapM$f(v3, v2) = v1) | ~ (mapM$f(v3, v2) = v0)) & ! [v0: A$] : ! % 78.67/11.78 [v1: A$] : ! [v2: A$] : ! [v3: % 78.67/11.78 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 % 78.67/11.78 | ~ (mapO$f(v3, v2) = v1) | ~ (mapO$f(v3, v2) = v0)) & ! [v0: B$] : ! % 78.67/11.78 [v1: B$] : ! [v2: ZF$] : ! [v3: % 78.67/11.78 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.78 (mapM$e(v3, v2) = v1) | ~ (mapM$e(v3, v2) = v0)) & ! [v0: A$] : ! [v1: % 78.67/11.78 A$] : ! [v2: ZF$] : ! [v3: % 78.67/11.78 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.78 (mapO$e(v3, v2) = v1) | ~ (mapO$e(v3, v2) = v0)) & ! [v0: B$] : ! [v1: % 78.67/11.78 B$] : ! [v2: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! % 78.67/11.78 [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (mapM$c(v3, v2) = v1) | ~ (mapM$c(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A$] : ! [v1: A$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (mapO$c(v3, v2) = v1) | ~ (mapO$c(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2: ZF$] : ! % 78.67/11.78 [v3: % 78.67/11.78 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (mapM$b(v3, v2) = v1) | ~ (mapM$b(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: ZF$] : ! % 78.67/11.78 [v3: % 78.67/11.78 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (mapO$b(v3, v2) = v1) | ~ (mapO$b(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v3: B_ZF_fun_b_ZF_fun_fun$] : % 78.67/11.78 (v1 = v0 | ~ (mor2ZF_update$(v3, v2) = v1) | ~ (mor2ZF_update$(v3, v2) = % 78.67/11.78 v0)) & ! [v0: B_ZF_fun$] : ! [v1: B_ZF_fun$] : ! [v2: B_ZF_fun$] : ! % 78.67/11.78 [v3: B_ZF_fun_b_ZF_fun_fun$] : (v1 = v0 | ~ (fun_app$s(v3, v2) = v1) | ~ % 78.67/11.78 (fun_app$s(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] : ! [v3: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (homFtorContra$(v3, % 78.67/11.78 v2) = v1) | ~ (homFtorContra$(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ % 78.67/11.78 (nt_abbrev$(v3, v2) = v1) | ~ (nt_abbrev$(v3, v2) = v0)) & ! [v0: % 78.67/11.78 ZF_ZF_ZF_fun_fun$] : ! [v1: ZF_ZF_ZF_fun_fun$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (uul$(v3, v2) = v1) | % 78.67/11.78 ~ (uul$(v3, v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2: % 78.67/11.78 B$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ % 78.67/11.78 (uuo$(v3, v2) = v1) | ~ (uuo$(v3, v2) = v0)) & ! [v0: B$] : ! [v1: B$] : % 78.67/11.78 ! [v2: ZF$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ % 78.67/11.78 (zF2mor$(v3, v2) = v1) | ~ (zF2mor$(v3, v2) = v0)) & ! [v0: ZF_ZF_fun$] : % 78.67/11.78 ! [v1: ZF_ZF_fun$] : ! [v2: B$] : ! [v3: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (uuq$(v3, v2) = v1) | % 78.67/11.78 ~ (uuq$(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$] : ! [v2: % 78.67/11.78 ZF_ZF_unit_Category_ext$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] : % 78.67/11.78 (v1 = v0 | ~ (uun$(v3, v2) = v1) | ~ (uun$(v3, v2) = v0)) & ! [v0: % 78.67/11.78 B_bool_fun$] : ! [v1: B_bool_fun$] : ! [v2: ZF$] : ! [v3: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (uva$(v3, v2) = v1) | % 78.67/11.78 ~ (uva$(v3, v2) = v0)) & ! [v0: ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! % 78.67/11.78 [v2: A$] : ! [v3: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 % 78.67/11.78 = v0 | ~ (uuu$(v3, v2) = v1) | ~ (uuu$(v3, v2) = v0)) & ! [v0: B$] : ! % 78.67/11.78 [v1: B$] : ! [v2: A$] : ! [v3: A_b_fun$] : (v1 = v0 | ~ (fun_app$r(v3, v2) % 78.67/11.78 = v1) | ~ (fun_app$r(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2: B$] : ! % 78.67/11.78 [v3: B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : (v1 = v0 | % 78.67/11.78 ~ (fun_app$q(v3, v2) = v1) | ~ (fun_app$q(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v2: A$] % 78.67/11.78 : ! [v3: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (uuv$(v3, v2) = v1) | ~ (uuv$(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v2: % 78.67/11.78 ZF_ZF_unit_Category_ext$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] : % 78.67/11.78 (v1 = v0 | ~ (uum$(v3, v2) = v1) | ~ (uum$(v3, v2) = v0)) & ! [v0: % 78.67/11.78 B_ZF_fun$] : ! [v1: B_ZF_fun$] : ! [v2: A$] : ! [v3: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (uup$(v3, v2) = v1) | % 78.67/11.78 ~ (uup$(v3, v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: B$] : ! [v3: % 78.67/11.78 B_ZF_fun$] : (v1 = v0 | ~ (fun_app$p(v3, v2) = v1) | ~ (fun_app$p(v3, v2) % 78.67/11.78 = v0)) & ! [v0: B_b_fun$] : ! [v1: B_b_fun$] : ! [v2: B$] : ! [v3: % 78.67/11.78 B_b_b_fun_fun$] : (v1 = v0 | ~ (fun_app$o(v3, v2) = v1) | ~ (fun_app$o(v3, % 78.67/11.78 v2) = v0)) & ! [v0: B$] : ! [v1: B$] : ! [v2: B$] : ! [v3: B_b_fun$] % 78.67/11.78 : (v1 = v0 | ~ (fun_app$n(v3, v2) = v1) | ~ (fun_app$n(v3, v2) = v0)) & ! % 78.67/11.78 [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2: ZF$] : ! [v3: % 78.67/11.78 ZF_ZF_ZF_fun_fun$] : (v1 = v0 | ~ (fun_app$m(v3, v2) = v1) | ~ % 78.67/11.78 (fun_app$m(v3, v2) = v0)) & ! [v0: B_b_prod$] : ! [v1: B_b_prod$] : ! % 78.67/11.78 [v2: B$] : ! [v3: B$] : (v1 = v0 | ~ (pair$a(v3, v2) = v1) | ~ (pair$a(v3, % 78.67/11.78 v2) = v0)) & ! [v0: B_bool_fun$] : ! [v1: B_bool_fun$] : ! [v2: B$] : % 78.67/11.78 ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ % 78.67/11.78 (compDefined$a(v3, v2) = v1) | ~ (compDefined$a(v3, v2) = v0)) & ! [v0: % 78.67/11.78 ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: ZF$] : ! [v3: % 78.67/11.78 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (compDefined$(v3, v2) = v1) | ~ % 78.67/11.78 (compDefined$(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 78.67/11.78 MultipleValueBool] : ! [v2: A$] : ! [v3: A_bool_fun$] : (v1 = v0 | ~ % 78.67/11.78 (fun_app$l(v3, v2) = v1) | ~ (fun_app$l(v3, v2) = v0)) & ! [v0: % 78.67/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: A_set$] : ! [v3: % 78.67/11.78 A$] : (v1 = v0 | ~ (member$i(v3, v2) = v1) | ~ (member$i(v3, v2) = v0)) & % 78.67/11.78 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: B$] : ! [v3: % 78.67/11.78 B_bool_fun$] : (v1 = v0 | ~ (fun_app$k(v3, v2) = v1) | ~ (fun_app$k(v3, % 78.67/11.78 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 78.67/11.78 ! [v2: B_set$] : ! [v3: B$] : (v1 = v0 | ~ (member$h(v3, v2) = v1) | ~ % 78.67/11.78 (member$h(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 78.67/11.78 MultipleValueBool] : ! [v2: A_b_fun$] : ! [v3: A_b_fun_bool_fun$] : (v1 = % 78.67/11.78 v0 | ~ (fun_app$j(v3, v2) = v1) | ~ (fun_app$j(v3, v2) = v0)) & ! [v0: % 78.67/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: A_b_fun_set$] : ! % 78.67/11.78 [v3: A_b_fun$] : (v1 = v0 | ~ (member$g(v3, v2) = v1) | ~ (member$g(v3, v2) % 78.67/11.78 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 B_a_fun$] : ! [v3: B_a_fun_bool_fun$] : (v1 = v0 | ~ (fun_app$i(v3, v2) = % 78.67/11.78 v1) | ~ (fun_app$i(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 78.67/11.78 MultipleValueBool] : ! [v2: B_a_fun_set$] : ! [v3: B_a_fun$] : (v1 = v0 | % 78.67/11.78 ~ (member$f(v3, v2) = v1) | ~ (member$f(v3, v2) = v0)) & ! [v0: % 78.67/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: B_ZF_fun$] : ! % 78.67/11.78 [v3: B_ZF_fun_bool_fun$] : (v1 = v0 | ~ (fun_app$h(v3, v2) = v1) | ~ % 78.67/11.78 (fun_app$h(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 78.67/11.78 MultipleValueBool] : ! [v2: B_ZF_fun_set$] : ! [v3: B_ZF_fun$] : (v1 = v0 % 78.67/11.78 | ~ (member$e(v3, v2) = v1) | ~ (member$e(v3, v2) = v0)) & ! [v0: % 78.67/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: ZF_set$] : ! [v3: % 78.67/11.78 ZF$] : (v1 = v0 | ~ (member$d(v3, v2) = v1) | ~ (member$d(v3, v2) = v0)) & % 78.67/11.78 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: B_b_prod$] : % 78.67/11.78 ! [v3: B_b_prod_bool_fun$] : (v1 = v0 | ~ (fun_app$g(v3, v2) = v1) | ~ % 78.67/11.78 (fun_app$g(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 78.67/11.78 MultipleValueBool] : ! [v2: B_b_prod_set$] : ! [v3: B_b_prod$] : (v1 = v0 % 78.67/11.78 | ~ (member$c(v3, v2) = v1) | ~ (member$c(v3, v2) = v0)) & ! [v0: % 78.67/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: ZF_ZF_prod_set$] : % 78.67/11.78 ! [v3: ZF_ZF_prod$] : (v1 = v0 | ~ (member$b(v3, v2) = v1) | ~ % 78.67/11.78 (member$b(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 78.67/11.78 MultipleValueBool] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : (v1 = v0 | % 78.67/11.78 ~ (fun_app$f(v3, v2) = v1) | ~ (fun_app$f(v3, v2) = v0)) & ! [v0: % 78.67/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.78 (member$a(v3, v2) = v1) | ~ (member$a(v3, v2) = v0)) & ! [v0: % 78.67/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$] : (v1 = v0 | % 78.67/11.78 ~ (fun_app$e(v3, v2) = v1) | ~ (fun_app$e(v3, v2) = v0)) & ! [v0: % 78.67/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ % 78.67/11.78 (member$(v3, v2) = v1) | ~ (member$(v3, v2) = v0)) & ! [v0: ZF$] : ! [v1: % 78.67/11.78 ZF$] : ! [v2: A$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.78 (mapO$a(v3, v2) = v1) | ~ (mapO$a(v3, v2) = v0)) & ! [v0: ZF$] : ! [v1: % 78.67/11.78 ZF$] : ! [v2: A$] : ! [v3: A_ZF_fun$] : (v1 = v0 | ~ (fun_app$d(v3, v2) = % 78.67/11.78 v1) | ~ (fun_app$d(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] : ! [v3: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (mapO$(v3, v2) = v1) | ~ (mapO$(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : (v1 = v0 | ~ (id$(v3, v2) = v1) | ~ (id$(v3, v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2: A$] : ! % 78.67/11.78 [v3: A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : (v1 = v0 | % 78.67/11.78 ~ (fun_app$c(v3, v2) = v1) | ~ (fun_app$c(v3, v2) = v0)) & ! [v0: % 78.67/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: ZF_ZF_prod$] : ! % 78.67/11.78 [v3: ZF_ZF_prod_bool_fun$] : (v1 = v0 | ~ (fun_app$a(v3, v2) = v1) | ~ % 78.67/11.78 (fun_app$a(v3, v2) = v0)) & ! [v0: ZF_ZF_prod$] : ! [v1: ZF_ZF_prod$] : ! % 78.67/11.78 [v2: ZF$] : ! [v3: ZF$] : (v1 = v0 | ~ (pair$(v3, v2) = v1) | ~ (pair$(v3, % 78.67/11.78 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 78.67/11.78 ! [v2: ZF$] : ! [v3: ZF_bool_fun$] : (v1 = v0 | ~ (fun_app$b(v3, v2) = v1) | % 78.67/11.78 ~ (fun_app$b(v3, v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: ZF$] : % 78.67/11.78 ! [v3: ZF_ZF_fun$] : (v1 = v0 | ~ (fun_app$(v3, v2) = v1) | ~ (fun_app$(v3, % 78.67/11.78 v2) = v0)) & ! [v0: ZF_ZF_fun_ZF_ZF_fun_fun$] : ! [v1: % 78.67/11.78 ZF_ZF_fun_ZF_ZF_fun_fun$] : ! [v2: ZF_ZF_fun$] : (v1 = v0 | ~ (comp$d(v2) % 78.67/11.78 = v1) | ~ (comp$d(v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: % 78.67/11.78 Nat_ZF_fun$] : (v1 = v0 | ~ (seqSum$(v2) = v1) | ~ (seqSum$(v2) = v0)) & % 78.67/11.78 ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: ZF_set$] : (v1 = v0 | ~ (implode$(v2) = % 78.67/11.78 v1) | ~ (implode$(v2) = v0)) & ! [v0: B_b_prod_b_fun_set$] : ! [v1: % 78.67/11.78 B_b_prod_b_fun_set$] : ! [v2: B_b_prod_set$] : (v1 = v0 | ~ % 78.67/11.78 (extensional$f(v2) = v1) | ~ (extensional$f(v2) = v0)) & ! [v0: % 78.67/11.78 B_a_fun_set$] : ! [v1: B_a_fun_set$] : ! [v2: B_set$] : (v1 = v0 | ~ % 78.67/11.78 (extensional$e(v2) = v1) | ~ (extensional$e(v2) = v0)) & ! [v0: % 78.67/11.78 ZF_ZF_prod_ZF_fun_set$] : ! [v1: ZF_ZF_prod_ZF_fun_set$] : ! [v2: % 78.67/11.78 ZF_ZF_prod_set$] : (v1 = v0 | ~ (extensional$d(v2) = v1) | ~ % 78.67/11.78 (extensional$d(v2) = v0)) & ! [v0: B$] : ! [v1: B$] : ! [v2: B_bool_fun$] % 78.67/11.78 : (v1 = v0 | ~ (the$b(v2) = v1) | ~ (the$b(v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : (v1 = v0 | % 78.67/11.78 ~ (the$a(v2) = v1) | ~ (the$a(v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : ! % 78.67/11.78 [v2: ZF_bool_fun$] : (v1 = v0 | ~ (the$(v2) = v1) | ~ (the$(v2) = v0)) & ! % 78.67/11.78 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : (v1 = v0 | ~ (category_axioms$b(v2) = v1) | ~ (category_axioms$b(v2) = % 78.67/11.78 v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ % 78.67/11.78 (nTCompDefined$(v2) = v1) | ~ (nTCompDefined$(v2) = v0)) & ! [v0: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ (nTDom$d(v2) = v1) % 78.67/11.78 | ~ (nTDom$d(v2) = v0)) & ! [v0: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v1: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ (nTCod$d(v2) = v1) % 78.67/11.78 | ~ (nTCod$d(v2) = v0)) & ! [v0: ZF_ZF_unit_Category_ext$] : ! [v1: % 78.67/11.78 ZF_ZF_unit_Category_ext$] : ! [v2: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ (nTCatDom$d(v2) = % 78.67/11.78 v1) | ~ (nTCatDom$d(v2) = v0)) & ! [v0: ZF_ZF_unit_Category_ext$] : ! % 78.67/11.78 [v1: ZF_ZF_unit_Category_ext$] : ! [v2: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ (nTCatCod$d(v2) = % 78.67/11.78 v1) | ~ (nTCatCod$d(v2) = v0)) & ! [v0: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v2: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] % 78.67/11.78 : (v1 = v0 | ~ (nTDom$b(v2) = v1) | ~ (nTDom$b(v2) = v0)) & ! [v0: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v2: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] % 78.67/11.78 : (v1 = v0 | ~ (nTCod$b(v2) = v1) | ~ (nTCod$b(v2) = v0)) & ! [v0: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] % 78.67/11.78 : (v1 = v0 | ~ (nTCatDom$c(v2) = v1) | ~ (nTCatDom$c(v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : ! [v2: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] % 78.67/11.78 : (v1 = v0 | ~ (nTCatCod$c(v2) = v1) | ~ (nTCatCod$c(v2) = v0)) & ! [v0: % 78.67/11.78 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1: % 78.67/11.78 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2: % 78.67/11.78 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 | ~ % 78.67/11.78 (nTDom$a(v2) = v1) | ~ (nTDom$a(v2) = v0)) & ! [v0: % 78.67/11.78 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1: % 78.67/11.78 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2: % 78.67/11.78 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 | ~ % 78.67/11.78 (nTCod$a(v2) = v1) | ~ (nTCod$a(v2) = v0)) & ! [v0: % 78.67/11.78 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2: % 78.67/11.78 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 | ~ % 78.67/11.78 (nTCatDom$b(v2) = v1) | ~ (nTCatDom$b(v2) = v0)) & ! [v0: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: % 78.67/11.78 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 | ~ % 78.67/11.78 (nTCatCod$b(v2) = v1) | ~ (nTCatCod$b(v2) = v0)) & ! [v0: % 78.67/11.78 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1: % 78.67/11.78 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2: % 78.67/11.78 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 % 78.67/11.78 | ~ (nTDom$(v2) = v1) | ~ (nTDom$(v2) = v0)) & ! [v0: % 78.67/11.78 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1: % 78.67/11.78 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2: % 78.67/11.78 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 % 78.67/11.78 | ~ (nTCod$(v2) = v1) | ~ (nTCod$(v2) = v0)) & ! [v0: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: % 78.67/11.78 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 % 78.67/11.78 | ~ (nTCatDom$a(v2) = v1) | ~ (nTCatDom$a(v2) = v0)) & ! [v0: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: % 78.67/11.78 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 % 78.67/11.78 | ~ (nTCatCod$a(v2) = v1) | ~ (nTCatCod$a(v2) = v0)) & ! [v0: % 78.67/11.78 A_b_fun_set$] : ! [v1: A_b_fun_set$] : ! [v2: A_set$] : (v1 = v0 | ~ % 78.67/11.78 (extensional$c(v2) = v1) | ~ (extensional$c(v2) = v0)) & ! [v0: % 78.67/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (extCategory$a(v2) = % 78.67/11.78 v1) | ~ (extCategory$a(v2) = v0)) & ! [v0: ZF_ZF_fun_set$] : ! [v1: % 78.67/11.78 ZF_ZF_fun_set$] : ! [v2: ZF_set$] : (v1 = v0 | ~ (extensional$b(v2) = v1) % 78.67/11.78 | ~ (extensional$b(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 78.67/11.78 MultipleValueBool] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ % 78.67/11.78 (extCategory$(v2) = v1) | ~ (extCategory$(v2) = v0)) & ! [v0: ZF_ZF_fun$] % 78.67/11.78 : ! [v1: ZF_ZF_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ % 78.67/11.78 (inverse$(v2) = v1) | ~ (inverse$(v2) = v0)) & ! [v0: B_ZF_fun_set$] : ! % 78.67/11.78 [v1: B_ZF_fun_set$] : ! [v2: B_set$] : (v1 = v0 | ~ (extensional$a(v2) = v1) % 78.67/11.78 | ~ (extensional$a(v2) = v0)) & ! [v0: ZF_bool_fun$] : ! [v1: % 78.67/11.78 ZF_bool_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ % 78.67/11.78 (isomorphism$b(v2) = v1) | ~ (isomorphism$b(v2) = v0)) & ! [v0: % 78.67/11.78 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_set$] : ! [v1: % 78.67/11.78 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_set$] : ! [v2: % 78.67/11.78 B_set$] : (v1 = v0 | ~ (extensional$(v2) = v1) | ~ (extensional$(v2) = % 78.67/11.78 v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.78 : (v1 = v0 | ~ (isomorphism$a(v2) = v1) | ~ (isomorphism$a(v2) = v0)) & ! % 78.67/11.78 [v0: B_bool_fun$] : ! [v1: B_bool_fun$] : ! [v2: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (isomorphism$(v2) = % 78.67/11.78 v1) | ~ (isomorphism$(v2) = v0)) & ! [v0: Unit$] : ! [v1: Unit$] : ! % 78.67/11.78 [v2: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (more$c(v2) = v1) | ~ (more$c(v2) = v0)) & ! [v0: % 78.67/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ % 78.67/11.78 (lSCategory_axioms$(v2) = v1) | ~ (lSCategory_axioms$(v2) = v0)) & ! [v0: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v1: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v2: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (idNatTrans$g(v2) = % 78.67/11.78 v1) | ~ (idNatTrans$g(v2) = v0)) & ! [v0: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] % 78.67/11.78 : ! [v2: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (idNatTrans$e(v2) = v1) | ~ (idNatTrans$e(v2) = v0)) & ! % 78.67/11.78 [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ (natTransMap$d(v2) % 78.67/11.78 = v1) | ~ (natTransMap$d(v2) = v0)) & ! [v0: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: % 78.67/11.78 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 % 78.67/11.78 | ~ (catCod$f(v2) = v1) | ~ (catCod$f(v2) = v0)) & ! [v0: A_b_fun$] : ! % 78.67/11.78 [v1: A_b_fun$] : ! [v2: % 78.67/11.78 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 % 78.67/11.78 | ~ (natTransMap$a(v2) = v1) | ~ (natTransMap$a(v2) = v0)) & ! [v0: % 78.67/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (category_axioms$a(v2) = v1) | ~ % 78.67/11.78 (category_axioms$a(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 78.67/11.78 MultipleValueBool] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = % 78.67/11.78 v0 | ~ (category_axioms$(v2) = v1) | ~ (category_axioms$(v2) = v0)) & ! % 78.67/11.78 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (equivalence_axioms$a(v2) = v1) | ~ (equivalence_axioms$a(v2) % 78.67/11.78 = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v2: % 78.67/11.78 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 % 78.67/11.78 | ~ (functor_comp_def$i(v2) = v1) | ~ (functor_comp_def$i(v2) = v0)) & ! % 78.67/11.78 [v0: ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2: % 78.67/11.78 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (catDom$e(v2) = v1) | ~ (catDom$e(v2) = v0)) & ! [v0: % 78.67/11.78 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (catCod$e(v2) = v1) | ~ (catCod$e(v2) = v0)) & ! [v0: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (catCod$d(v2) = v1) | ~ (catCod$d(v2) = v0)) & ! [v0: % 78.67/11.78 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2: % 78.67/11.78 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.78 (catDom$d(v2) = v1) | ~ (catDom$d(v2) = v0)) & ! [v0: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v1: % 78.67/11.78 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v2: % 78.67/11.78 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.78 (functor_comp_def$b(v2) = v1) | ~ (functor_comp_def$b(v2) = v0)) & ! [v0: % 78.67/11.78 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (catCod$c(v2) = v1) % 78.67/11.78 | ~ (catCod$c(v2) = v0)) & ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : % 78.67/11.78 ! [v1: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: % 78.67/11.78 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.78 (catCod$b(v2) = v1) | ~ (catCod$b(v2) = v0)) & ! [v0: Unit$] : ! [v1: % 78.67/11.78 Unit$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (more$b(v2) = v1) % 78.67/11.78 | ~ (more$b(v2) = v0)) & ! [v0: B_c_LSCategory_ext$] : ! [v1: % 78.67/11.78 B_c_LSCategory_ext$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = % 78.67/11.78 v0 | ~ (more$a(v2) = v1) | ~ (more$a(v2) = v0)) & ! [v0: % 78.67/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (equivalence$a(v2) = v1) | ~ (equivalence$a(v2) = v0)) & ! % 78.67/11.78 [v0: C$] : ! [v1: C$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = % 78.67/11.78 v0 | ~ (more$(v2) = v1) | ~ (more$(v2) = v0)) & ! [v0: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v1: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (yFtor$a(v2) = % 78.67/11.78 v1) | ~ (yFtor$a(v2) = v0)) & ! [v0: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: % 78.67/11.78 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (makeCat$a(v2) = v1) | % 78.67/11.78 ~ (makeCat$a(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! % 78.67/11.78 [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (dom$a(v2) = v1) | ~ % 78.67/11.78 (dom$a(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2: % 78.67/11.78 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (cod$a(v2) = v1) | ~ (cod$a(v2) = % 78.67/11.78 v0)) & ! [v0: ZF_ZF_unit_Category_ext$] : ! [v1: % 78.67/11.78 ZF_ZF_unit_Category_ext$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | % 78.67/11.78 ~ (makeCat$(v2) = v1) | ~ (makeCat$(v2) = v0)) & ! [v0: B_a_fun$] : ! % 78.67/11.78 [v1: B_a_fun$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ % 78.67/11.78 (dom$(v2) = v1) | ~ (dom$(v2) = v0)) & ! [v0: B_a_fun$] : ! [v1: % 78.67/11.78 B_a_fun$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ % 78.67/11.78 (cod$(v2) = v1) | ~ (cod$(v2) = v0)) & ! [v0: ZF_ZF_unit_Category_ext$] : % 78.67/11.78 ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (catDom$c(v2) = v1) % 78.67/11.78 | ~ (catDom$c(v2) = v0)) & ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : % 78.67/11.78 ! [v1: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: % 78.67/11.78 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 % 78.67/11.78 | ~ (catDom$b(v2) = v1) | ~ (catDom$b(v2) = v0)) & ! [v0: % 78.67/11.78 ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.78 ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] : ! [v2: % 78.67/11.78 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (unitFunctor$(v2) = v1) | ~ % 78.67/11.78 (unitFunctor$(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 78.67/11.78 MultipleValueBool] : ! [v2: ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] : % 78.67/11.78 (v1 = v0 | ~ (functor$m(v2) = v1) | ~ (functor$m(v2) = v0)) & ! [v0: % 78.67/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.78 : (v1 = v0 | ~ (functorExt$d(v2) = v1) | ~ (functorExt$d(v2) = v0)) & ! % 78.67/11.78 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.78 (functorExt$c(v2) = v1) | ~ (functorExt$c(v2) = v0)) & ! [v0: % 78.67/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.78 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (functorExt$b(v2) = % 78.67/11.78 v1) | ~ (functorExt$b(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 78.67/11.78 MultipleValueBool] : ! [v2: % 78.67/11.78 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 % 78.67/11.78 | ~ (functorExt$(v2) = v1) | ~ (functorExt$(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (preFunctor$l(v2) = v1) | ~ (preFunctor$l(v2) = v0)) & ! % 78.67/11.79 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (preFunctor$k(v2) = v1) | ~ (preFunctor$k(v2) = v0)) & ! % 78.67/11.79 [v0: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2: ZF_ZF_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (identityFunctor$g(v2) = v1) | ~ (identityFunctor$g(v2) = % 78.67/11.79 v0)) & ! [v0: % 78.67/11.79 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1: % 78.67/11.79 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2: % 78.67/11.79 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (identityFunctor$f(v2) % 78.67/11.79 = v1) | ~ (identityFunctor$f(v2) = v0)) & ! [v0: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : ! [v1: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (identityFunctor$e(v2) = v1) | ~ (identityFunctor$e(v2) = % 78.67/11.79 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (functorM$l(v2) = v1) | ~ (functorM$l(v2) = v0)) & ! [v0: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : ! [v1: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (identityFunctor$d(v2) = v1) | ~ (identityFunctor$d(v2) = % 78.67/11.79 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (functorM$k(v2) = v1) | ~ (functorM$k(v2) = v0)) & ! [v0: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] % 78.67/11.79 : ! [v1: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] % 78.67/11.79 : ! [v2: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (idNatTrans$d(v2) = v1) | ~ (idNatTrans$d(v2) = v0)) & ! % 78.67/11.79 [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.79 (idNatTrans$c(v2) = v1) | ~ (idNatTrans$c(v2) = v0)) & ! [v0: % 78.67/11.79 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : ! [v1: % 78.67/11.79 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : ! [v2: % 78.67/11.79 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 % 78.67/11.79 | ~ (idNatTrans$b(v2) = v1) | ~ (idNatTrans$b(v2) = v0)) & ! [v0: % 78.67/11.79 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : ! [v1: % 78.67/11.79 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : ! [v2: % 78.67/11.79 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.79 (idNatTrans$a(v2) = v1) | ~ (idNatTrans$a(v2) = v0)) & ! [v0: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v1: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (idNatTrans$(v2) = % 78.67/11.79 v1) | ~ (idNatTrans$(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 78.67/11.79 MultipleValueBool] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (preFunctor$j(v2) = v1) | ~ (preFunctor$j(v2) = v0)) & ! % 78.67/11.79 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (preFunctor$i(v2) = v1) | ~ (preFunctor$i(v2) = v0)) & ! % 78.67/11.79 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (preFunctor$h(v2) = v1) | ~ (preFunctor$h(v2) = v0)) & ! % 78.67/11.79 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (preFunctor$g(v2) = v1) | ~ (preFunctor$g(v2) = v0)) & ! % 78.67/11.79 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (preFunctor$f(v2) = v1) | ~ (preFunctor$f(v2) = v0)) & ! % 78.67/11.79 [v0: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2: ZF_ZF_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (identityFunctor$c(v2) = v1) | ~ (identityFunctor$c(v2) = % 78.67/11.79 v0)) & ! [v0: % 78.67/11.79 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1: % 78.67/11.79 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2: % 78.67/11.79 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (identityFunctor$b(v2) % 78.67/11.79 = v1) | ~ (identityFunctor$b(v2) = v0)) & ! [v0: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : ! [v1: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (identityFunctor$a(v2) = v1) | ~ (identityFunctor$a(v2) = % 78.67/11.79 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (functor$l(v2) = v1) | ~ (functor$l(v2) = v0)) & ! [v0: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : ! [v1: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (identityFunctor$(v2) = v1) | ~ (identityFunctor$(v2) = v0)) % 78.67/11.79 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (functor$k(v2) = v1) | ~ (functor$k(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (functorM$j(v2) = v1) | ~ (functorM$j(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (functorM$i(v2) = v1) | ~ (functorM$i(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (functorM$h(v2) = v1) | ~ (functorM$h(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (functorM$g(v2) = v1) | ~ (functorM$g(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (functorM$f(v2) = v1) | ~ (functorM$f(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (functor$j(v2) = v1) | ~ (functor$j(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (functor$i(v2) = v1) | ~ (functor$i(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (functor$h(v2) = v1) | ~ (functor$h(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (functor$g(v2) = v1) | ~ (functor$g(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (functor$f(v2) = v1) | ~ (functor$f(v2) = v0)) & ! [v0: % 78.67/11.79 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : ! [v1: % 78.67/11.79 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : ! [v2: % 78.67/11.79 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (makeFtor$e(v2) = v1) | ~ (makeFtor$e(v2) = v0)) & ! [v0: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_set$] : ! [v1: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_set$] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (obj$c(v2) = v1) | ~ (obj$c(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (functor$e(v2) = v1) | ~ (functor$e(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 % 78.67/11.79 | ~ (preFunctor$e(v2) = v1) | ~ (preFunctor$e(v2) = v0)) & ! [v0: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : ! [v1: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (oppositeCategory$c(v2) = v1) | ~ (oppositeCategory$c(v2) = % 78.67/11.79 v0)) & ! [v0: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.79 : ! [v1: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.79 : ! [v2: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (makeFtor$d(v2) = v1) | ~ (makeFtor$d(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (functor$d(v2) = v1) | ~ (functor$d(v2) = v0)) & ! [v0: % 78.67/11.79 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1: % 78.67/11.79 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2: % 78.67/11.79 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.79 (makeFtor$c(v2) = v1) | ~ (makeFtor$c(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.79 (functor$c(v2) = v1) | ~ (functor$c(v2) = v0)) & ! [v0: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (makeFtor$b(v2) = % 78.67/11.79 v1) | ~ (makeFtor$b(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 78.67/11.79 MultipleValueBool] : ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 % 78.67/11.79 = v0 | ~ (functor$b(v2) = v1) | ~ (functor$b(v2) = v0)) & ! [v0: % 78.67/11.79 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1: % 78.67/11.79 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2: % 78.67/11.79 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 % 78.67/11.79 | ~ (makeFtor$a(v2) = v1) | ~ (makeFtor$a(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 % 78.67/11.79 | ~ (functorM$e(v2) = v1) | ~ (functorM$e(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 % 78.67/11.79 | ~ (functor$a(v2) = v1) | ~ (functor$a(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (category$k(v2) = v1) | ~ (category$k(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (category$j(v2) = v1) | ~ (category$j(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (category$i(v2) = v1) | ~ (category$i(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (category$h(v2) = v1) | ~ (category$h(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (category$g(v2) = v1) | ~ (category$g(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (category$f(v2) = v1) | ~ (category$f(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext_a_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (category$e(v2) = v1) | ~ (category$e(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (category$c(v2) = v1) % 78.67/11.79 | ~ (category$c(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 78.67/11.79 MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (category$d(v2) = v1) | ~ (category$d(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (category$a(v2) = v1) | ~ % 78.67/11.79 (category$a(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 78.67/11.79 MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (category$b(v2) = v1) | ~ (category$b(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (category$(v2) = v1) | ~ (category$(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 % 78.67/11.79 | ~ (natTransExt$d(v2) = v1) | ~ (natTransExt$d(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 | ~ % 78.67/11.79 (natTransExt$c(v2) = v1) | ~ (natTransExt$c(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] % 78.67/11.79 : (v1 = v0 | ~ (natTransExt$b(v2) = v1) | ~ (natTransExt$b(v2) = v0)) & ! % 78.67/11.79 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ (natTransExt$a(v2) % 78.67/11.79 = v1) | ~ (natTransExt$a(v2) = v0)) & ! [v0: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.79 (makeFtor$(v2) = v1) | ~ (makeFtor$(v2) = v0)) & ! [v0: MultipleValueBool] % 78.67/11.79 : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (functorM_axioms$c(v2) = v1) | ~ (functorM_axioms$c(v2) = % 78.67/11.79 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (functorM_axioms$b(v2) = v1) | ~ (functorM_axioms$b(v2) = % 78.67/11.79 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.79 (functorM_axioms$a(v2) = v1) | ~ (functorM_axioms$a(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.79 (functorM_axioms$(v2) = v1) | ~ (functorM_axioms$(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (functorM$d(v2) = v1) | ~ (functorM$d(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (preFunctor$d(v2) = v1) | ~ (preFunctor$d(v2) = v0)) & ! % 78.67/11.79 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (functorM$c(v2) = v1) | ~ (functorM$c(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (preFunctor$c(v2) = v1) | ~ (preFunctor$c(v2) = v0)) & ! % 78.67/11.79 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.79 (preFunctor$b(v2) = v1) | ~ (preFunctor$b(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.79 (functorM$b(v2) = v1) | ~ (functorM$b(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (preFunctor$a(v2) = % 78.67/11.79 v1) | ~ (preFunctor$a(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 78.67/11.79 MultipleValueBool] : ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 % 78.67/11.79 = v0 | ~ (functorM$a(v2) = v1) | ~ (functorM$a(v2) = v0)) & ! [v0: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_set$] : ! [v1: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_set$] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (mor$d(v2) = v1) | ~ (mor$d(v2) = v0)) & ! [v0: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$] % 78.67/11.79 : ! [v1: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$] % 78.67/11.79 : ! [v2: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (mor$c(v2) = v1) | ~ (mor$c(v2) = v0)) & ! [v0: % 78.67/11.79 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : ! [v1: % 78.67/11.79 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : ! [v2: % 78.67/11.79 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 % 78.67/11.79 | ~ (makeNT$d(v2) = v1) | ~ (makeNT$d(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 % 78.67/11.79 | ~ (natTransP$d(v2) = v1) | ~ (natTransP$d(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 % 78.67/11.79 | ~ (natTrans$d(v2) = v1) | ~ (natTrans$d(v2) = v0)) & ! [v0: % 78.67/11.79 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : ! [v1: % 78.67/11.79 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : ! [v2: % 78.67/11.79 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 | ~ % 78.67/11.79 (makeNT$c(v2) = v1) | ~ (makeNT$c(v2) = v0)) & ! [v0: MultipleValueBool] : % 78.67/11.79 ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 | ~ % 78.67/11.79 (natTransP$c(v2) = v1) | ~ (natTransP$c(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 | ~ % 78.67/11.79 (natTrans$c(v2) = v1) | ~ (natTrans$c(v2) = v0)) & ! [v0: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] % 78.67/11.79 : ! [v1: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] % 78.67/11.79 : ! [v2: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] % 78.67/11.79 : (v1 = v0 | ~ (makeNT$b(v2) = v1) | ~ (makeNT$b(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] % 78.67/11.79 : (v1 = v0 | ~ (natTransP$b(v2) = v1) | ~ (natTransP$b(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] % 78.67/11.79 : (v1 = v0 | ~ (natTrans$b(v2) = v1) | ~ (natTrans$b(v2) = v0)) & ! [v0: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v1: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ (makeNT$a(v2) = % 78.67/11.79 v1) | ~ (makeNT$a(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 78.67/11.79 MultipleValueBool] : ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 % 78.67/11.79 = v0 | ~ (natTransP$a(v2) = v1) | ~ (natTransP$a(v2) = v0)) & ! [v0: % 78.67/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ (natTrans$a(v2) = % 78.67/11.79 v1) | ~ (natTrans$a(v2) = v0)) & ! [v0: % 78.67/11.79 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ! [v1: % 78.67/11.79 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ! [v2: % 78.67/11.79 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (yFtorNT$a(v2) = v1) | % 78.67/11.79 ~ (yFtorNT$a(v2) = v0)) & ! [v0: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$] : ! [v1: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$] : (v1 = v0 | % 78.67/11.79 ~ (collect$i(v2) = v1) | ~ (collect$i(v2) = v0)) & ! [v0: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$] : ! [v1: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : (v1 = v0 | % 78.67/11.79 ~ (collect$h(v2) = v1) | ~ (collect$h(v2) = v0)) & ! [v0: A_b_fun_set$] : % 78.67/11.79 ! [v1: A_b_fun_set$] : ! [v2: A_b_fun_bool_fun$] : (v1 = v0 | ~ % 78.67/11.79 (collect$g(v2) = v1) | ~ (collect$g(v2) = v0)) & ! [v0: B_a_fun_set$] : ! % 78.67/11.79 [v1: B_a_fun_set$] : ! [v2: B_a_fun_bool_fun$] : (v1 = v0 | ~ (collect$f(v2) % 78.67/11.79 = v1) | ~ (collect$f(v2) = v0)) & ! [v0: B_ZF_fun_set$] : ! [v1: % 78.67/11.79 B_ZF_fun_set$] : ! [v2: B_ZF_fun_bool_fun$] : (v1 = v0 | ~ (collect$e(v2) % 78.67/11.79 = v1) | ~ (collect$e(v2) = v0)) & ! [v0: B_set$] : ! [v1: B_set$] : ! % 78.67/11.79 [v2: B_bool_fun$] : (v1 = v0 | ~ (collect$d(v2) = v1) | ~ (collect$d(v2) = % 78.67/11.79 v0)) & ! [v0: ZF_set$] : ! [v1: ZF_set$] : ! [v2: ZF_bool_fun$] : (v1 = % 78.67/11.79 v0 | ~ (collect$c(v2) = v1) | ~ (collect$c(v2) = v0)) & ! [v0: A_set$] : % 78.67/11.79 ! [v1: A_set$] : ! [v2: A_bool_fun$] : (v1 = v0 | ~ (collect$b(v2) = v1) | % 78.67/11.79 ~ (collect$b(v2) = v0)) & ! [v0: % 78.67/11.79 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ! [v1: % 78.67/11.79 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ! [v2: % 78.67/11.79 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (yFtorNT$(v2) = v1) | % 78.67/11.79 ~ (yFtorNT$(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (mapM$d(v2) = v1) | % 78.67/11.79 ~ (mapM$d(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2: % 78.67/11.79 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (mapO$d(v2) = v1) | % 78.67/11.79 ~ (mapO$d(v2) = v0)) & ! [v0: ZF_ZF_unit_Category_ext$] : ! [v1: % 78.67/11.79 ZF_ZF_unit_Category_ext$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | % 78.67/11.79 ~ (oppositeCategory$b(v2) = v1) | ~ (oppositeCategory$b(v2) = v0)) & ! % 78.67/11.79 [v0: ZF_set$] : ! [v1: ZF_set$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = % 78.67/11.79 v0 | ~ (mor$b(v2) = v1) | ~ (mor$b(v2) = v0)) & ! [v0: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : ! [v1: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (oppositeCategory$a(v2) = v1) | ~ (oppositeCategory$a(v2) = % 78.67/11.79 v0)) & ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$] : % 78.67/11.79 ! [v1: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (mor$a(v2) = v1) | ~ (mor$a(v2) = v0)) & ! [v0: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ % 78.67/11.79 (makeNT$(v2) = v1) | ~ (makeNT$(v2) = v0)) & ! [v0: % 78.67/11.79 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.67/11.79 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: % 78.67/11.79 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (oppositeCategory$(v2) % 78.67/11.79 = v1) | ~ (oppositeCategory$(v2) = v0)) & ! [v0: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.79 : ! [v1: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.79 : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (yFtor$(v2) = % 78.67/11.79 v1) | ~ (yFtor$(v2) = v0)) & ! [v0: A_set$] : ! [v1: A_set$] : ! [v2: % 78.67/11.79 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (obj$b(v2) = v1) | ~ % 78.67/11.79 (obj$b(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 78.67/11.79 : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ % 78.67/11.79 (lSCategory$(v2) = v1) | ~ (lSCategory$(v2) = v0)) & ! [v0: % 78.67/11.79 ZF_ZF_ZF_fun_fun$] : ! [v1: ZF_ZF_ZF_fun_fun$] : ! [v2: ZF$] : (v1 = v0 | % 78.67/11.79 ~ (uuw$(v2) = v1) | ~ (uuw$(v2) = v0)) & ! [v0: % 78.67/11.79 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.67/11.79 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ % 78.67/11.79 (nTCatDom$(v2) = v1) | ~ (nTCatDom$(v2) = v0)) & ! [v0: % 78.67/11.79 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ % 78.67/11.79 (nTCatCod$(v2) = v1) | ~ (nTCatCod$(v2) = v0)) & ! [v0: B_set$] : ! [v1: % 78.67/11.79 B_set$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ % 78.67/11.79 (mor$(v2) = v1) | ~ (mor$(v2) = v0)) & ! [v0: B_ZF_fun$] : ! [v1: % 78.67/11.79 B_ZF_fun$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ % 78.67/11.79 (mor2ZF$(v2) = v1) | ~ (mor2ZF$(v2) = v0)) & ! [v0: ZF_set$] : ! [v1: % 78.67/11.79 ZF_set$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (obj$a(v2) = % 78.67/11.79 v1) | ~ (obj$a(v2) = v0)) & ! [v0: B_ZF_fun$] : ! [v1: B_ZF_fun$] : ! % 78.67/11.79 [v2: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.79 (mapM$a(v2) = v1) | ~ (mapM$a(v2) = v0)) & ! [v0: % 78.67/11.79 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.67/11.79 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.79 (catDom$a(v2) = v1) | ~ (catDom$a(v2) = v0)) & ! [v0: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$] : ! [v1: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : (v1 = v0 | ~ (obj$(v2) = v1) | ~ (obj$(v2) = v0)) & ! [v0: % 78.67/11.79 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ! [v1: % 78.67/11.79 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ! [v2: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (mapM$(v2) = v1) | ~ (mapM$(v2) = v0)) & ! [v0: % 78.67/11.79 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.67/11.79 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (catDom$(v2) = v1) | ~ (catDom$(v2) = v0)) & ! [v0: % 78.67/11.79 A_b_fun$] : ! [v1: A_b_fun$] : ! [v2: % 78.67/11.79 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (id$b(v2) = v1) | ~ % 78.67/11.79 (id$b(v2) = v0)) & ! [v0: B_b_b_fun_fun$] : ! [v1: B_b_b_fun_fun$] : ! % 78.67/11.79 [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (uuj$(v2) = v1) | % 78.67/11.79 ~ (uuj$(v2) = v0)) & ! [v0: ZF_ZF_ZF_fun_fun$] : ! [v1: ZF_ZF_ZF_fun_fun$] % 78.67/11.79 : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (uuk$(v2) = v1) | ~ % 78.67/11.79 (uuk$(v2) = v0)) & ! [v0: B_b_b_fun_fun$] : ! [v1: B_b_b_fun_fun$] : ! % 78.67/11.79 [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (comp$a(v2) = v1) | % 78.67/11.79 ~ (comp$a(v2) = v0)) & ! [v0: B_b_prod_b_fun$] : ! [v1: B_b_prod_b_fun$] % 78.67/11.79 : ! [v2: B_b_b_fun_fun$] : (v1 = v0 | ~ (case_prod$a(v2) = v1) | ~ % 78.67/11.79 (case_prod$a(v2) = v0)) & ! [v0: B_b_prod_set$] : ! [v1: B_b_prod_set$] : % 78.67/11.79 ! [v2: B_b_prod_bool_fun$] : (v1 = v0 | ~ (collect$a(v2) = v1) | ~ % 78.67/11.79 (collect$a(v2) = v0)) & ! [v0: B_b_b_fun_fun$] : ! [v1: B_b_b_fun_fun$] : % 78.67/11.79 ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (uvc$(v2) = v1) | % 78.67/11.79 ~ (uvc$(v2) = v0)) & ! [v0: ZF_ZF_ZF_fun_fun$] : ! [v1: % 78.67/11.79 ZF_ZF_ZF_fun_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ % 78.67/11.79 (comp$(v2) = v1) | ~ (comp$(v2) = v0)) & ! [v0: ZF_ZF_prod_ZF_fun$] : ! % 78.67/11.79 [v1: ZF_ZF_prod_ZF_fun$] : ! [v2: ZF_ZF_ZF_fun_fun$] : (v1 = v0 | ~ % 78.67/11.79 (case_prod$(v2) = v1) | ~ (case_prod$(v2) = v0)) & ! [v0: ZF_ZF_prod_set$] % 78.67/11.79 : ! [v1: ZF_ZF_prod_set$] : ! [v2: ZF_ZF_prod_bool_fun$] : (v1 = v0 | ~ % 78.67/11.79 (collect$(v2) = v1) | ~ (collect$(v2) = v0)) & ! [v0: ZF_ZF_ZF_fun_fun$] : % 78.67/11.79 ! [v1: ZF_ZF_ZF_fun_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ % 78.67/11.79 (uve$(v2) = v1) | ~ (uve$(v2) = v0)) & ! [v0: B_b_prod_bool_fun$] : ! % 78.67/11.79 [v1: B_b_prod_bool_fun$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 % 78.67/11.79 = v0 | ~ (uvb$(v2) = v1) | ~ (uvb$(v2) = v0)) & ! [v0: % 78.67/11.79 ZF_ZF_prod_bool_fun$] : ! [v1: ZF_ZF_prod_bool_fun$] : ! [v2: % 78.67/11.79 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (uvd$(v2) = v1) | ~ (uvd$(v2) = % 78.67/11.79 v0)) & ! [v0: A_bool_fun$] : ! [v1: A_bool_fun$] : ! [v2: A_set$] : (v1 % 78.67/11.79 = v0 | ~ (uu$(v2) = v1) | ~ (uu$(v2) = v0)) & ! [v0: B_bool_fun$] : ! % 78.67/11.79 [v1: B_bool_fun$] : ! [v2: B_set$] : (v1 = v0 | ~ (uuc$(v2) = v1) | ~ % 78.67/11.79 (uuc$(v2) = v0)) & ! [v0: A_b_fun_bool_fun$] : ! [v1: A_b_fun_bool_fun$] : % 78.67/11.79 ! [v2: A_b_fun_set$] : (v1 = v0 | ~ (uuf$(v2) = v1) | ~ (uuf$(v2) = v0)) & % 78.67/11.79 ! [v0: B_a_fun_bool_fun$] : ! [v1: B_a_fun_bool_fun$] : ! [v2: B_a_fun_set$] % 78.67/11.79 : (v1 = v0 | ~ (uue$(v2) = v1) | ~ (uue$(v2) = v0)) & ! [v0: % 78.67/11.79 B_ZF_fun_bool_fun$] : ! [v1: B_ZF_fun_bool_fun$] : ! [v2: B_ZF_fun_set$] : % 78.67/11.79 (v1 = v0 | ~ (uud$(v2) = v1) | ~ (uud$(v2) = v0)) & ! [v0: ZF_bool_fun$] : % 78.67/11.79 ! [v1: ZF_bool_fun$] : ! [v2: ZF_set$] : (v1 = v0 | ~ (uua$(v2) = v1) | ~ % 78.67/11.79 (uua$(v2) = v0)) & ! [v0: B_b_prod_bool_fun$] : ! [v1: B_b_prod_bool_fun$] % 78.67/11.79 : ! [v2: B_b_prod_set$] : (v1 = v0 | ~ (uug$(v2) = v1) | ~ (uug$(v2) = v0)) % 78.67/11.79 & ! [v0: ZF_ZF_prod_bool_fun$] : ! [v1: ZF_ZF_prod_bool_fun$] : ! [v2: % 78.67/11.79 ZF_ZF_prod_set$] : (v1 = v0 | ~ (uub$(v2) = v1) | ~ (uub$(v2) = v0)) & ! % 78.67/11.79 [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v1: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$] : (v1 = v0 | ~ % 78.67/11.79 (uuh$(v2) = v1) | ~ (uuh$(v2) = v0)) & ! [v0: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$] : ! [v1: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$] : (v1 = v0 | ~ % 78.67/11.79 (uui$(v2) = v1) | ~ (uui$(v2) = v0)) & ! [v0: ZF_ZF_unit_Category_ext$] : % 78.67/11.79 ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.79 (catCod$a(v2) = v1) | ~ (catCod$a(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! % 78.67/11.79 [v1: ZF_ZF_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (id$a(v2) % 78.67/11.79 = v1) | ~ (id$a(v2) = v0)) & ! [v0: A_ZF_fun$] : ! [v1: A_ZF_fun$] : ! % 78.67/11.79 [v2: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~ % 78.67/11.79 (uut$(v2) = v1) | ~ (uut$(v2) = v0)) & ! [v0: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : ! [v1: % 78.67/11.79 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.79 : ! [v2: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (catCod$(v2) = v1) | ~ (catCod$(v2) = v0)) & ! [v0: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ! [v1: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ! [v2: % 78.67/11.79 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.79 : (v1 = v0 | ~ (uus$(v2) = v1) | ~ (uus$(v2) = v0)) & ! [v0: ZF_bool_fun$] % 78.67/11.79 : ! [v1: ZF_bool_fun$] : ! [v2: ZF$] : (v1 = v0 | ~ (elem$(v2) = v1) | ~ % 78.67/11.79 (elem$(v2) = v0)) % 78.67/11.79 % 78.67/11.79 Further assumptions not needed in the proof: % 78.67/11.79 -------------------------------------------- % 78.67/11.79 axiom0, axiom1, axiom10, axiom100, axiom101, axiom102, axiom103, axiom104, % 78.67/11.79 axiom105, axiom106, axiom107, axiom108, axiom109, axiom11, axiom110, axiom111, % 78.67/11.79 axiom112, axiom113, axiom114, axiom115, axiom116, axiom117, axiom118, axiom119, % 78.67/11.79 axiom12, axiom120, axiom121, axiom122, axiom123, axiom124, axiom125, axiom126, % 78.67/11.79 axiom127, axiom128, axiom129, axiom13, axiom130, axiom131, axiom132, axiom133, % 78.67/11.79 axiom134, axiom135, axiom136, axiom137, axiom138, axiom139, axiom14, axiom141, % 78.67/11.79 axiom142, axiom143, axiom144, axiom145, axiom146, axiom147, axiom148, axiom149, % 78.67/11.79 axiom15, axiom150, axiom151, axiom152, axiom153, axiom154, axiom155, axiom156, % 78.67/11.79 axiom157, axiom158, axiom159, axiom16, axiom160, axiom161, axiom162, axiom163, % 78.67/11.79 axiom164, axiom165, axiom166, axiom167, axiom168, axiom169, axiom17, axiom170, % 78.67/11.79 axiom171, axiom174, axiom175, axiom176, axiom177, axiom178, axiom179, axiom18, % 78.67/11.79 axiom180, axiom181, axiom182, axiom183, axiom184, axiom185, axiom186, axiom187, % 78.67/11.79 axiom188, axiom189, axiom19, axiom190, axiom191, axiom192, axiom193, axiom194, % 78.67/11.79 axiom195, axiom196, axiom197, axiom198, axiom199, axiom2, axiom20, axiom200, % 78.67/11.79 axiom201, axiom202, axiom203, axiom204, axiom205, axiom207, axiom208, axiom209, % 78.67/11.79 axiom21, axiom211, axiom212, axiom213, axiom214, axiom215, axiom216, axiom217, % 78.67/11.79 axiom218, axiom219, axiom22, axiom220, axiom221, axiom222, axiom223, axiom224, % 78.67/11.79 axiom225, axiom226, axiom227, axiom228, axiom229, axiom23, axiom230, axiom231, % 78.67/11.79 axiom232, axiom233, axiom234, axiom235, axiom236, axiom237, axiom238, axiom239, % 78.67/11.79 axiom24, axiom240, axiom241, axiom242, axiom243, axiom244, axiom245, axiom246, % 78.67/11.79 axiom247, axiom248, axiom249, axiom25, axiom250, axiom251, axiom252, axiom253, % 78.67/11.79 axiom254, axiom255, axiom256, axiom257, axiom258, axiom259, axiom26, axiom260, % 78.67/11.79 axiom261, axiom262, axiom263, axiom264, axiom265, axiom266, axiom267, axiom268, % 78.67/11.79 axiom269, axiom27, axiom270, axiom271, axiom272, axiom273, axiom274, axiom275, % 78.67/11.79 axiom276, axiom277, axiom278, axiom279, axiom28, axiom280, axiom281, axiom282, % 78.67/11.79 axiom283, axiom284, axiom285, axiom286, axiom287, axiom288, axiom289, axiom29, % 78.67/11.79 axiom290, axiom291, axiom292, axiom293, axiom294, axiom295, axiom296, axiom297, % 78.67/11.79 axiom298, axiom299, axiom3, axiom30, axiom300, axiom301, axiom302, axiom303, % 78.67/11.79 axiom304, axiom305, axiom306, axiom307, axiom308, axiom309, axiom31, axiom310, % 78.67/11.79 axiom311, axiom312, axiom313, axiom314, axiom315, axiom316, axiom317, axiom318, % 78.67/11.79 axiom319, axiom32, axiom320, axiom321, axiom322, axiom323, axiom324, axiom325, % 78.67/11.79 axiom326, axiom327, axiom328, axiom329, axiom33, axiom330, axiom331, axiom332, % 78.67/11.79 axiom333, axiom334, axiom335, axiom336, axiom337, axiom338, axiom339, axiom340, % 78.67/11.79 axiom341, axiom342, axiom343, axiom344, axiom345, axiom346, axiom347, axiom348, % 78.67/11.79 axiom349, axiom350, axiom351, axiom352, axiom353, axiom354, axiom355, axiom356, % 78.67/11.79 axiom357, axiom358, axiom359, axiom360, axiom361, axiom362, axiom363, axiom364, % 78.67/11.79 axiom365, axiom366, axiom367, axiom368, axiom369, axiom370, axiom371, axiom372, % 78.67/11.79 axiom373, axiom374, axiom375, axiom376, axiom377, axiom378, axiom379, axiom380, % 78.67/11.79 axiom381, axiom382, axiom383, axiom384, axiom385, axiom386, axiom387, axiom388, % 78.67/11.79 axiom389, axiom390, axiom391, axiom392, axiom393, axiom394, axiom395, axiom396, % 78.67/11.79 axiom397, axiom398, axiom399, axiom4, axiom400, axiom401, axiom402, axiom403, % 78.67/11.79 axiom404, axiom405, axiom406, axiom407, axiom408, axiom409, axiom410, axiom411, % 78.67/11.79 axiom412, axiom413, axiom414, axiom415, axiom416, axiom417, axiom418, axiom419, % 78.67/11.79 axiom420, axiom421, axiom422, axiom423, axiom424, axiom425, axiom426, axiom427, % 78.67/11.79 axiom428, axiom429, axiom430, axiom431, axiom432, axiom433, axiom434, axiom435, % 78.67/11.79 axiom436, axiom437, axiom438, axiom439, axiom440, axiom441, axiom442, axiom443, % 78.67/11.79 axiom444, axiom445, axiom446, axiom447, axiom448, axiom449, axiom45, axiom450, % 78.67/11.79 axiom451, axiom452, axiom453, axiom454, axiom455, axiom456, axiom457, axiom458, % 78.67/11.79 axiom459, axiom460, axiom461, axiom462, axiom463, axiom464, axiom465, axiom466, % 78.67/11.79 axiom467, axiom468, axiom469, axiom47, axiom470, axiom471, axiom472, axiom473, % 78.67/11.79 axiom474, axiom475, axiom476, axiom477, axiom478, axiom479, axiom480, axiom481, % 78.67/11.79 axiom482, axiom483, axiom484, axiom485, axiom486, axiom487, axiom488, axiom489, % 78.67/11.79 axiom49, axiom490, axiom491, axiom492, axiom493, axiom494, axiom495, axiom496, % 78.67/11.79 axiom497, axiom498, axiom499, axiom5, axiom50, axiom500, axiom501, axiom502, % 78.67/11.79 axiom503, axiom504, axiom505, axiom506, axiom507, axiom508, axiom509, axiom51, % 78.67/11.79 axiom510, axiom511, axiom512, axiom513, axiom514, axiom515, axiom516, axiom517, % 78.67/11.79 axiom518, axiom519, axiom52, axiom520, axiom521, axiom522, axiom523, axiom524, % 78.67/11.79 axiom525, axiom526, axiom527, axiom528, axiom529, axiom53, axiom530, axiom531, % 78.67/11.79 axiom532, axiom533, axiom534, axiom535, axiom536, axiom537, axiom538, axiom539, % 78.67/11.79 axiom54, axiom540, axiom541, axiom542, axiom543, axiom544, axiom545, axiom546, % 78.67/11.79 axiom547, axiom548, axiom549, axiom55, axiom550, axiom551, axiom552, axiom553, % 78.67/11.79 axiom554, axiom555, axiom556, axiom557, axiom558, axiom559, axiom56, axiom560, % 78.67/11.79 axiom561, axiom562, axiom563, axiom564, axiom565, axiom566, axiom567, axiom568, % 78.67/11.79 axiom569, axiom57, axiom570, axiom571, axiom572, axiom573, axiom574, axiom575, % 78.67/11.79 axiom576, axiom577, axiom578, axiom579, axiom58, axiom580, axiom581, axiom582, % 78.67/11.79 axiom583, axiom584, axiom585, axiom586, axiom587, axiom588, axiom589, axiom59, % 78.67/11.79 axiom590, axiom591, axiom592, axiom593, axiom594, axiom595, axiom596, axiom597, % 78.67/11.79 axiom598, axiom599, axiom6, axiom60, axiom600, axiom601, axiom602, axiom603, % 78.67/11.79 axiom604, axiom605, axiom606, axiom607, axiom608, axiom609, axiom61, axiom610, % 78.67/11.79 axiom611, axiom612, axiom613, axiom614, axiom615, axiom616, axiom617, axiom618, % 78.67/11.79 axiom619, axiom62, axiom620, axiom621, axiom622, axiom623, axiom63, axiom64, % 78.67/11.79 axiom65, axiom66, axiom68, axiom69, axiom7, axiom70, axiom72, axiom73, axiom74, % 78.67/11.79 axiom75, axiom76, axiom77, axiom78, axiom79, axiom8, axiom81, axiom83, axiom85, % 78.67/11.79 axiom86, axiom87, axiom88, axiom89, axiom9, axiom90, axiom91, axiom92, axiom93, % 78.67/11.79 axiom94, axiom95, axiom96, axiom97, axiom98, axiom99 % 78.67/11.79 % 78.67/11.79 Those formulas are unsatisfiable: % 78.67/11.79 --------------------------------- % 78.67/11.79 % 78.67/11.79 Begin of proof % 78.67/11.79 | % 78.67/11.79 | ALPHA: (axiom35) implies: % 78.67/11.79 | (1) lSCategory$(c$) = 0 % 78.67/11.79 | % 78.67/11.79 | ALPHA: (axiom36) implies: % 78.67/11.80 | (2) ? [v0: A_set$] : (obj$b(c$) = v0 & member$i(x$, v0) = 0 & A_set$(v0)) % 78.67/11.80 | % 78.67/11.80 | ALPHA: (axiom37) implies: % 78.67/11.80 | (3) ? [v0: A_set$] : (obj$b(c$) = v0 & member$i(y$, v0) = 0 & A_set$(v0)) % 78.67/11.80 | % 78.67/11.80 | ALPHA: (axiom38) implies: % 78.67/11.80 | (4) ? [v0: % 78.67/11.80 | A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.80 | : ? [v1: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? % 78.67/11.80 | [v2: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ? % 78.67/11.80 | [v3: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (yFtor$(c$) % 78.67/11.80 | = v0 & nt_abbrev$(eta$, v1) = v2 & fun_app$f(v2, v3) = 0 & mapO$(v0, % 78.67/11.80 | y$) = v3 & mapO$(v0, x$) = v1 & % 78.67/11.80 | A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0) % 78.67/11.80 | & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$(v2) & % 78.67/11.80 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v3) & % 78.67/11.80 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1)) % 78.67/11.80 | % 78.67/11.80 | ALPHA: (axiom39) implies: % 78.67/11.80 | (5) ? [v0: ZF$] : ? [v1: ZF_bool_fun$] : ? [v2: ZF$] : (yMap$(c$, x$, % 78.67/11.80 | eta$) = v0 & homSet$(c$, x$, y$) = v2 & elem$(v0) = v1 & % 78.67/11.80 | fun_app$b(v1, v2) = 0 & ZF$(v2) & ZF$(v0) & ZF_bool_fun$(v1)) % 78.67/11.80 | % 78.67/11.80 | ALPHA: (axiom40) implies: % 78.67/11.80 | (6) ? [v0: % 78.67/11.80 | A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.80 | : ? [v1: B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : % 78.67/11.80 | ? [v2: ZF$] : ? [v3: B$] : ? [v4: % 78.67/11.80 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v5: % 78.67/11.80 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v6: % 78.67/11.80 | B_ZF_fun$] : ? [v7: ZF$] : (yMapInv$(c$, x$, v5, v7) = v4 & % 78.67/11.80 | yMap$(c$, x$, eta$) = v2 & yFtor$(c$) = v0 & zF2mor$(c$, v2) = v3 & % 78.67/11.80 | mor2ZF$(c$) = v6 & mapM$(v0) = v1 & fun_app$q(v1, v3) = v4 & % 78.67/11.80 | fun_app$p(v6, v3) = v7 & mapO$(v0, y$) = v5 & B_ZF_fun$(v6) & ZF$(v7) % 78.67/11.80 | & ZF$(v2) & % 78.67/11.80 | A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0) % 78.67/11.80 | & B$(v3) & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v4) & % 78.67/11.80 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v5) & % 78.67/11.80 | B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$(v1)) % 78.67/11.80 | % 78.67/11.80 | ALPHA: (axiom41) implies: % 78.67/11.80 | (7) ? [v0: ZF$] : ? [v1: B$] : ? [v2: A_bool_fun$] : (yMap$(c$, x$, % 78.67/11.80 | eta$) = v0 & mapsTo$(c$, v1, x$) = v2 & zF2mor$(c$, v0) = v1 & % 78.67/11.80 | fun_app$l(v2, y$) = 0 & ZF$(v0) & A_bool_fun$(v2) & B$(v1)) % 78.67/11.80 | % 78.67/11.80 | ALPHA: (axiom42) implies: % 78.67/11.80 | (8) ? [v0: ZF$] : ? [v1: ZF_bool_fun$] : ? [v2: % 78.67/11.80 | A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.80 | : ? [v3: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? % 78.67/11.80 | [v4: ZF$] : (yMap$(c$, x$, eta$) = v0 & yFtor$(c$) = v2 & mapO$a(v3, % 78.67/11.80 | x$) = v4 & mapO$(v2, y$) = v3 & elem$(v0) = v1 & fun_app$b(v1, v4) % 78.67/11.80 | = 0 & ZF$(v4) & ZF$(v0) & ZF_bool_fun$(v1) & % 78.67/11.80 | A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$(v2) % 78.67/11.80 | & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v3)) % 78.67/11.80 | % 78.67/11.80 | ALPHA: (axiom43) implies: % 78.67/11.80 | (9) ? [v0: % 78.67/11.80 | A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.80 | : ? [v1: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? % 78.67/11.80 | [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (oppositeCategory$(c$) = % 78.67/11.80 | v2 & yFtor$(c$) = v0 & functor_abbrev$(v1, v2, set$) = 0 & mapO$(v0, % 78.67/11.80 | y$) = v1 & % 78.67/11.80 | A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0) % 78.67/11.80 | & A_b_b_c_LSCategory_ext_Category_ext$(v2) & % 78.67/11.80 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1)) % 78.67/11.80 | % 78.67/11.80 | ALPHA: (axiom46) implies: % 78.67/11.80 | (10) ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.67/11.80 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] : % 78.67/11.80 | ! [v3: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! % 78.67/11.80 | [v4: % 78.67/11.80 | A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 78.67/11.80 | : ! [v5: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! % 78.67/11.80 | [v6: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ( % 78.67/11.80 | ~ (yFtor$(v0) = v4) | ~ (nt_abbrev$(v3, v5) = v6) | ~ % 78.67/11.80 | (fun_app$f(v6, v1) = 0) | ~ (mapO$(v4, v2) = v5) | ~ A$(v2) | ~ % 78.67/11.80 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v3) | ~ % 78.67/11.80 | A_b_b_c_LSCategory_ext_Category_ext$(v0) | ~ % 78.67/11.80 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1) | ? [v7: % 78.67/11.80 | any] : ? [v8: A_b_b_c_LSCategory_ext_Category_ext$] : ? [v9: % 78.67/11.80 | any] : ? [v10: A_set$] : ? [v11: any] : ? [v12: ZF$] : ? [v13: % 78.67/11.80 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : % 78.67/11.80 | (oppositeCategory$(v0) = v8 & yMapInv$(v0, v2, v1, v12) = v13 & % 78.67/11.80 | yMap$(v0, v2, v3) = v12 & obj$b(v0) = v10 & lSCategory$(v0) = v7 & % 78.67/11.80 | functor_abbrev$(v1, v8, set$) = v9 & member$i(v2, v10) = v11 & % 78.67/11.80 | ZF$(v12) & A_set$(v10) & % 78.67/11.80 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v13) & % 78.67/11.80 | A_b_b_c_LSCategory_ext_Category_ext$(v8) & ( ~ (v11 = 0) | ~ (v9 % 78.67/11.80 | = 0) | ~ (v7 = 0) | v13 = v3))) % 78.67/11.80 | % 78.67/11.80 | ALPHA: (axiom67) implies: % 78.67/11.80 | (11) ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.67/11.80 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] : % 78.67/11.80 | ! [v3: ZF$] : ! [v4: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v5: % 78.67/11.80 | ZF_bool_fun$] : ! [v6: ZF$] : ( ~ (oppositeCategory$(v0) = v4) | ~ % 78.67/11.80 | (functor_abbrev$(v1, v4, set$) = 0) | ~ (mapO$a(v1, v2) = v6) | ~ % 78.67/11.80 | (elem$(v3) = v5) | ~ (fun_app$b(v5, v6) = 0) | ~ ZF$(v3) | ~ % 78.67/11.80 | A$(v2) | ~ A_b_b_c_LSCategory_ext_Category_ext$(v0) | ~ % 78.67/11.80 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1) | ? [v7: % 78.67/11.80 | any] : ? [v8: A_set$] : ? [v9: any] : ? [v10: % 78.67/11.80 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v11: % 78.67/11.80 | ZF$] : (yMapInv$(v0, v2, v1, v3) = v10 & yMap$(v0, v2, v10) = v11 % 78.67/11.80 | & obj$b(v0) = v8 & lSCategory$(v0) = v7 & member$i(v2, v8) = v9 & % 78.67/11.80 | ZF$(v11) & A_set$(v8) & % 78.67/11.80 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v10) & ( ~ % 78.67/11.80 | (v9 = 0) | ~ (v7 = 0) | v11 = v3))) % 78.67/11.80 | % 78.67/11.80 | ALPHA: (axiom80) implies: % 78.67/11.81 | (12) ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.67/11.81 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] : % 78.67/11.81 | ! [v3: ZF$] : ! [v4: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v5: % 78.67/11.81 | ZF_bool_fun$] : ! [v6: ZF$] : ( ~ (oppositeCategory$(v0) = v4) | ~ % 78.67/11.81 | (functor_abbrev$(v1, v4, set$) = 0) | ~ (mapO$a(v1, v2) = v6) | ~ % 78.67/11.81 | (elem$(v3) = v5) | ~ (fun_app$b(v5, v6) = 0) | ~ ZF$(v3) | ~ % 78.67/11.81 | A$(v2) | ~ A_b_b_c_LSCategory_ext_Category_ext$(v0) | ~ % 78.67/11.81 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1) | ? [v7: % 78.67/11.81 | any] : ? [v8: A_set$] : ? [v9: any] : ? [v10: % 78.67/11.81 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v11: % 78.67/11.81 | any] : (yMapInv$a(v0, v2, v1, v3) = v10 & obj$b(v0) = v8 & % 78.67/11.81 | lSCategory$(v0) = v7 & member$i(v2, v8) = v9 & % 78.67/11.81 | fun_app$e(natTransP$, v10) = v11 & A_set$(v8) & % 78.67/11.81 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v10) & ( ~ % 78.67/11.81 | (v9 = 0) | ~ (v7 = 0) | v11 = 0))) % 78.67/11.81 | % 78.67/11.81 | ALPHA: (axiom82) implies: % 78.67/11.81 | (13) ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.67/11.81 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] : % 78.67/11.81 | ! [v3: ZF$] : ! [v4: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v5: % 78.67/11.81 | ZF_bool_fun$] : ! [v6: ZF$] : ( ~ (oppositeCategory$(v0) = v4) | ~ % 78.67/11.81 | (functor_abbrev$(v1, v4, set$) = 0) | ~ (mapO$a(v1, v2) = v6) | ~ % 78.67/11.81 | (elem$(v3) = v5) | ~ (fun_app$b(v5, v6) = 0) | ~ ZF$(v3) | ~ % 78.67/11.81 | A$(v2) | ~ A_b_b_c_LSCategory_ext_Category_ext$(v0) | ~ % 78.67/11.81 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1) | ? [v7: % 78.67/11.81 | any] : ? [v8: A_set$] : ? [v9: any] : ? [v10: % 78.67/11.81 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v11: % 78.67/11.81 | any] : (yMapInv$(v0, v2, v1, v3) = v10 & obj$b(v0) = v8 & % 78.67/11.81 | lSCategory$(v0) = v7 & member$i(v2, v8) = v9 & % 78.67/11.81 | fun_app$e(natTrans$, v10) = v11 & A_set$(v8) & % 78.67/11.81 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v10) & ( ~ % 78.67/11.81 | (v9 = 0) | ~ (v7 = 0) | v11 = 0))) % 78.67/11.81 | % 78.67/11.81 | ALPHA: (axiom140) implies: % 78.67/11.81 | (14) ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: A$] : ! [v2: % 78.67/11.81 | A_set$] : ( ~ (obj$b(v0) = v2) | ~ (member$i(v1, v2) = 0) | ~ % 78.67/11.81 | A$(v1) | ~ A_b_b_c_LSCategory_ext_Category_ext$(v0) | ? [v3: any] % 78.67/11.81 | : ? [v4: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? % 78.67/11.81 | [v5: any] : (homFtor$a(v0, v1) = v4 & lSCategory$(v0) = v3 & % 78.67/11.81 | fun_app$f(functorM$, v4) = v5 & % 78.67/11.81 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v4) & ( ~ (v3 % 78.67/11.81 | = 0) | v5 = 0))) % 78.67/11.81 | % 78.67/11.81 | ALPHA: (axiom172) implies: % 78.67/11.81 | (15) ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 78.67/11.81 | A_b_b_c_LSCategory_ext_Category_ext$] : ( ~ (oppositeCategory$(v0) = % 78.67/11.81 | v1) | ~ A_b_b_c_LSCategory_ext_Category_ext$(v0) | ? [v2: any] : % 78.67/11.81 | ? [v3: % 78.67/11.81 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 78.67/11.81 | : ? [v4: any] : (category$(v3) = v4 & catExp$(v1, set$) = v3 & % 78.67/11.81 | lSCategory$(v0) = v2 & % 78.67/11.81 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$(v3) % 78.67/11.81 | & ( ~ (v2 = 0) | v4 = 0))) % 78.67/11.81 | % 78.67/11.81 | ALPHA: (axiom173) implies: % 78.67/11.81 | (16) ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: A$] : ! [v2: % 78.67/11.81 | A_set$] : ( ~ (obj$b(v0) = v2) | ~ (member$i(v1, v2) = 0) | ~ % 78.67/11.81 | A$(v1) | ~ A_b_b_c_LSCategory_ext_Category_ext$(v0) | ? [v3: any] % 78.67/11.81 | : ? [v4: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? % 78.67/11.81 | [v5: any] : (homFtor$(v0, v1) = v4 & lSCategory$(v0) = v3 & % 78.67/11.81 | fun_app$f(functor$, v4) = v5 & % 78.67/11.81 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v4) & ( ~ (v3 % 78.67/11.81 | = 0) | v5 = 0))) % 78.67/11.81 | % 78.67/11.81 | ALPHA: (conjecture34) implies: % 79.47/11.81 | (17) A_b_b_c_LSCategory_ext_Category_ext$(c$) % 79.47/11.81 | (18) A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(eta$) % 79.47/11.81 | (19) A$(x$) % 79.47/11.81 | (20) A$(y$) % 79.47/11.81 | (21) ? [v0: % 79.47/11.81 | A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 79.47/11.81 | : ? [v1: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? % 79.47/11.81 | [v2: B_ZF_fun$] : ? [v3: ZF$] : ? [v4: B$] : ? [v5: ZF$] : ? [v6: % 79.47/11.81 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v7: % 79.47/11.81 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ( ~ (v7 = % 79.47/11.81 | v6) & yMapInv$(c$, x$, v1, v5) = v6 & yMapInv$(c$, x$, v1, v3) = % 79.47/11.81 | v7 & yMap$(c$, x$, eta$) = v3 & yFtor$(c$) = v0 & zF2mor$(c$, v3) = % 79.47/11.81 | v4 & mor2ZF$(c$) = v2 & fun_app$p(v2, v4) = v5 & mapO$(v0, y$) = v1 % 79.47/11.81 | & B_ZF_fun$(v2) & ZF$(v5) & ZF$(v3) & % 79.47/11.81 | A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0) % 79.47/11.81 | & B$(v4) & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v7) % 79.47/11.81 | & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v6) & % 79.47/11.81 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1)) % 79.47/11.81 | % 79.47/11.81 | ALPHA: (function-axioms) implies: % 79.47/11.81 | (22) ! [v0: ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: ZF$] : (v1 = % 79.47/11.81 | v0 | ~ (elem$(v2) = v1) | ~ (elem$(v2) = v0)) % 79.47/11.81 | (23) ! [v0: B_ZF_fun$] : ! [v1: B_ZF_fun$] : ! [v2: % 79.47/11.81 | A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (mor2ZF$(v2) = % 79.47/11.81 | v1) | ~ (mor2ZF$(v2) = v0)) % 79.47/11.81 | (24) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 79.47/11.81 | A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ % 79.47/11.81 | (lSCategory$(v2) = v1) | ~ (lSCategory$(v2) = v0)) % 79.47/11.81 | (25) ! [v0: A_set$] : ! [v1: A_set$] : ! [v2: % 79.47/11.81 | A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (obj$b(v2) = % 79.47/11.81 | v1) | ~ (obj$b(v2) = v0)) % 79.47/11.81 | (26) ! [v0: % 79.47/11.81 | A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 79.47/11.81 | : ! [v1: % 79.47/11.81 | A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 79.47/11.81 | : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ % 79.47/11.81 | (yFtor$(v2) = v1) | ~ (yFtor$(v2) = v0)) % 79.47/11.82 | (27) ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1: % 79.47/11.82 | A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: % 79.47/11.82 | A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ % 79.47/11.82 | (oppositeCategory$(v2) = v1) | ~ (oppositeCategory$(v2) = v0)) % 79.47/11.82 | (28) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: ZF$] % 79.47/11.82 | : ! [v3: ZF_bool_fun$] : (v1 = v0 | ~ (fun_app$b(v3, v2) = v1) | ~ % 79.47/11.82 | (fun_app$b(v3, v2) = v0)) % 79.47/11.82 | (29) ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1: % 79.47/11.82 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] : % 79.47/11.82 | ! [v3: % 79.47/11.82 | A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 79.47/11.82 | : (v1 = v0 | ~ (mapO$(v3, v2) = v1) | ~ (mapO$(v3, v2) = v0)) % 79.47/11.82 | (30) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 79.47/11.82 | A_set$] : ! [v3: A$] : (v1 = v0 | ~ (member$i(v3, v2) = v1) | ~ % 79.47/11.82 | (member$i(v3, v2) = v0)) % 79.47/11.82 | (31) ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: B$] : ! [v3: B_ZF_fun$] : (v1 = % 79.47/11.82 | v0 | ~ (fun_app$p(v3, v2) = v1) | ~ (fun_app$p(v3, v2) = v0)) % 79.47/11.82 | (32) ! [v0: B$] : ! [v1: B$] : ! [v2: ZF$] : ! [v3: % 79.47/11.82 | A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (zF2mor$(v3, % 79.47/11.82 | v2) = v1) | ~ (zF2mor$(v3, v2) = v0)) % 79.47/11.82 | (33) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 79.47/11.82 | ZF_ZF_unit_Category_ext$] : ! [v3: % 79.47/11.82 | A_b_b_c_LSCategory_ext_Category_ext$] : ! [v4: % 79.47/11.82 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~ % 79.47/11.82 | (functor_abbrev$(v4, v3, v2) = v1) | ~ (functor_abbrev$(v4, v3, v2) % 79.47/11.82 | = v0)) % 79.47/11.82 | (34) ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: A$] : ! [v3: A$] : ! [v4: % 79.47/11.82 | A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (homSet$(v4, % 79.47/11.82 | v3, v2) = v1) | ~ (homSet$(v4, v3, v2) = v0)) % 79.47/11.82 | (35) ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: % 79.47/11.82 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3: A$] % 79.47/11.82 | : ! [v4: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ % 79.47/11.82 | (yMap$(v4, v3, v2) = v1) | ~ (yMap$(v4, v3, v2) = v0)) % 79.47/11.82 | (36) ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! % 79.47/11.82 | [v1: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2: % 79.47/11.82 | ZF$] : ! [v3: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] % 79.47/11.82 | : ! [v4: A$] : ! [v5: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = % 79.47/11.82 | v0 | ~ (yMapInv$(v5, v4, v3, v2) = v1) | ~ (yMapInv$(v5, v4, v3, % 79.47/11.82 | v2) = v0)) % 79.47/11.82 | % 79.47/11.82 | DELTA: instantiating (2) with fresh symbol all_760_0 gives: % 79.47/11.82 | (37) obj$b(c$) = all_760_0 & member$i(x$, all_760_0) = 0 & % 79.47/11.82 | A_set$(all_760_0) % 79.47/11.82 | % 79.47/11.82 | ALPHA: (37) implies: % 79.47/11.82 | (38) member$i(x$, all_760_0) = 0 % 79.47/11.82 | (39) obj$b(c$) = all_760_0 % 79.47/11.82 | % 79.47/11.82 | DELTA: instantiating (3) with fresh symbol all_762_0 gives: % 79.47/11.82 | (40) obj$b(c$) = all_762_0 & member$i(y$, all_762_0) = 0 & % 79.47/11.82 | A_set$(all_762_0) % 79.47/11.82 | % 79.47/11.82 | ALPHA: (40) implies: % 79.47/11.82 | (41) member$i(y$, all_762_0) = 0 % 79.47/11.82 | (42) obj$b(c$) = all_762_0 % 79.47/11.82 | % 79.47/11.82 | DELTA: instantiating (5) with fresh symbols all_769_0, all_769_1, all_769_2 % 79.47/11.82 | gives: % 79.47/11.82 | (43) yMap$(c$, x$, eta$) = all_769_2 & homSet$(c$, x$, y$) = all_769_0 & % 79.47/11.82 | elem$(all_769_2) = all_769_1 & fun_app$b(all_769_1, all_769_0) = 0 & % 79.47/11.82 | ZF$(all_769_0) & ZF$(all_769_2) & ZF_bool_fun$(all_769_1) % 79.47/11.82 | % 79.47/11.82 | ALPHA: (43) implies: % 79.47/11.82 | (44) fun_app$b(all_769_1, all_769_0) = 0 % 79.47/11.82 | (45) elem$(all_769_2) = all_769_1 % 79.47/11.82 | (46) homSet$(c$, x$, y$) = all_769_0 % 79.47/11.82 | (47) yMap$(c$, x$, eta$) = all_769_2 % 79.47/11.82 | % 79.47/11.82 | DELTA: instantiating (7) with fresh symbols all_771_0, all_771_1, all_771_2 % 79.47/11.82 | gives: % 79.47/11.82 | (48) yMap$(c$, x$, eta$) = all_771_2 & mapsTo$(c$, all_771_1, x$) = % 79.47/11.82 | all_771_0 & zF2mor$(c$, all_771_2) = all_771_1 & fun_app$l(all_771_0, % 79.47/11.82 | y$) = 0 & ZF$(all_771_2) & A_bool_fun$(all_771_0) & B$(all_771_1) % 79.47/11.82 | % 79.47/11.82 | ALPHA: (48) implies: % 79.47/11.82 | (49) ZF$(all_771_2) % 79.47/11.82 | (50) fun_app$l(all_771_0, y$) = 0 % 79.47/11.82 | (51) zF2mor$(c$, all_771_2) = all_771_1 % 79.47/11.82 | (52) mapsTo$(c$, all_771_1, x$) = all_771_0 % 79.47/11.82 | (53) yMap$(c$, x$, eta$) = all_771_2 % 79.47/11.82 | % 79.47/11.82 | DELTA: instantiating (9) with fresh symbols all_773_0, all_773_1, all_773_2 % 79.47/11.82 | gives: % 79.47/11.82 | (54) oppositeCategory$(c$) = all_773_0 & yFtor$(c$) = all_773_2 & % 79.47/11.82 | functor_abbrev$(all_773_1, all_773_0, set$) = 0 & mapO$(all_773_2, y$) % 79.47/11.82 | = all_773_1 & % 79.47/11.82 | A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_773_2) % 79.47/11.82 | & A_b_b_c_LSCategory_ext_Category_ext$(all_773_0) & % 79.47/11.82 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_773_1) % 79.47/11.82 | % 79.47/11.82 | ALPHA: (54) implies: % 79.47/11.82 | (55) mapO$(all_773_2, y$) = all_773_1 % 79.47/11.82 | (56) functor_abbrev$(all_773_1, all_773_0, set$) = 0 % 79.47/11.82 | (57) yFtor$(c$) = all_773_2 % 79.47/11.82 | (58) oppositeCategory$(c$) = all_773_0 % 79.47/11.82 | % 79.47/11.82 | DELTA: instantiating (4) with fresh symbols all_776_0, all_776_1, all_776_2, % 79.47/11.82 | all_776_3 gives: % 79.47/11.82 | (59) yFtor$(c$) = all_776_3 & nt_abbrev$(eta$, all_776_2) = all_776_1 & % 79.47/11.82 | fun_app$f(all_776_1, all_776_0) = 0 & mapO$(all_776_3, y$) = all_776_0 % 79.47/11.82 | & mapO$(all_776_3, x$) = all_776_2 & % 79.47/11.82 | A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_776_3) % 79.47/11.82 | & % 79.47/11.82 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$(all_776_1) % 79.47/11.82 | & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_776_0) & % 79.47/11.82 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_776_2) % 79.47/11.82 | % 79.47/11.82 | ALPHA: (59) implies: % 79.47/11.82 | (60) A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_776_0) % 79.47/11.82 | (61) mapO$(all_776_3, x$) = all_776_2 % 79.47/11.83 | (62) mapO$(all_776_3, y$) = all_776_0 % 79.47/11.83 | (63) fun_app$f(all_776_1, all_776_0) = 0 % 79.47/11.83 | (64) nt_abbrev$(eta$, all_776_2) = all_776_1 % 79.47/11.83 | (65) yFtor$(c$) = all_776_3 % 79.47/11.83 | % 79.47/11.83 | DELTA: instantiating (8) with fresh symbols all_788_0, all_788_1, all_788_2, % 79.47/11.83 | all_788_3, all_788_4 gives: % 79.47/11.83 | (66) yMap$(c$, x$, eta$) = all_788_4 & yFtor$(c$) = all_788_2 & % 79.47/11.83 | mapO$a(all_788_1, x$) = all_788_0 & mapO$(all_788_2, y$) = all_788_1 & % 79.47/11.83 | elem$(all_788_4) = all_788_3 & fun_app$b(all_788_3, all_788_0) = 0 & % 79.47/11.83 | ZF$(all_788_0) & ZF$(all_788_4) & ZF_bool_fun$(all_788_3) & % 79.47/11.83 | A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_788_2) % 79.47/11.83 | & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_788_1) % 79.47/11.83 | % 79.47/11.83 | ALPHA: (66) implies: % 79.47/11.83 | (67) fun_app$b(all_788_3, all_788_0) = 0 % 79.47/11.83 | (68) elem$(all_788_4) = all_788_3 % 79.47/11.83 | (69) mapO$(all_788_2, y$) = all_788_1 % 79.47/11.83 | (70) mapO$a(all_788_1, x$) = all_788_0 % 79.47/11.83 | (71) yFtor$(c$) = all_788_2 % 79.47/11.83 | (72) yMap$(c$, x$, eta$) = all_788_4 % 79.47/11.83 | % 79.47/11.83 | DELTA: instantiating (6) with fresh symbols all_836_0, all_836_1, all_836_2, % 79.47/11.83 | all_836_3, all_836_4, all_836_5, all_836_6, all_836_7 gives: % 79.47/11.83 | (73) yMapInv$(c$, x$, all_836_2, all_836_0) = all_836_3 & yMap$(c$, x$, % 79.47/11.83 | eta$) = all_836_5 & yFtor$(c$) = all_836_7 & zF2mor$(c$, all_836_5) % 79.47/11.83 | = all_836_4 & mor2ZF$(c$) = all_836_1 & mapM$(all_836_7) = all_836_6 & % 79.47/11.83 | fun_app$q(all_836_6, all_836_4) = all_836_3 & fun_app$p(all_836_1, % 79.47/11.83 | all_836_4) = all_836_0 & mapO$(all_836_7, y$) = all_836_2 & % 79.47/11.83 | B_ZF_fun$(all_836_1) & ZF$(all_836_0) & ZF$(all_836_5) & % 79.47/11.83 | A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_836_7) % 79.47/11.83 | & B$(all_836_4) & % 79.47/11.83 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(all_836_3) & % 79.47/11.83 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_836_2) & % 79.47/11.83 | B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$(all_836_6) % 79.47/11.83 | % 79.47/11.83 | ALPHA: (73) implies: % 79.47/11.83 | (74) B$(all_836_4) % 79.47/11.83 | (75) mapO$(all_836_7, y$) = all_836_2 % 79.47/11.83 | (76) fun_app$p(all_836_1, all_836_4) = all_836_0 % 79.47/11.83 | (77) fun_app$q(all_836_6, all_836_4) = all_836_3 % 79.47/11.83 | (78) mapM$(all_836_7) = all_836_6 % 79.47/11.83 | (79) mor2ZF$(c$) = all_836_1 % 79.47/11.83 | (80) zF2mor$(c$, all_836_5) = all_836_4 % 79.47/11.83 | (81) yFtor$(c$) = all_836_7 % 79.47/11.83 | (82) yMap$(c$, x$, eta$) = all_836_5 % 79.47/11.83 | (83) yMapInv$(c$, x$, all_836_2, all_836_0) = all_836_3 % 79.47/11.83 | % 79.47/11.83 | DELTA: instantiating (21) with fresh symbols all_838_0, all_838_1, all_838_2, % 79.47/11.83 | all_838_3, all_838_4, all_838_5, all_838_6, all_838_7 gives: % 79.47/11.83 | (84) ~ (all_838_0 = all_838_1) & yMapInv$(c$, x$, all_838_6, all_838_2) = % 79.47/11.83 | all_838_1 & yMapInv$(c$, x$, all_838_6, all_838_4) = all_838_0 & % 79.47/11.83 | yMap$(c$, x$, eta$) = all_838_4 & yFtor$(c$) = all_838_7 & zF2mor$(c$, % 79.47/11.83 | all_838_4) = all_838_3 & mor2ZF$(c$) = all_838_5 & % 79.47/11.83 | fun_app$p(all_838_5, all_838_3) = all_838_2 & mapO$(all_838_7, y$) = % 79.47/11.83 | all_838_6 & B_ZF_fun$(all_838_5) & ZF$(all_838_2) & ZF$(all_838_4) & % 79.47/11.83 | A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_838_7) % 79.47/11.83 | & B$(all_838_3) & % 79.47/11.83 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(all_838_0) & % 79.47/11.83 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(all_838_1) & % 79.47/11.83 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_838_6) % 79.47/11.83 | % 79.47/11.83 | ALPHA: (84) implies: % 79.47/11.83 | (85) ~ (all_838_0 = all_838_1) % 79.47/11.83 | (86) mapO$(all_838_7, y$) = all_838_6 % 79.47/11.83 | (87) fun_app$p(all_838_5, all_838_3) = all_838_2 % 79.47/11.83 | (88) mor2ZF$(c$) = all_838_5 % 79.47/11.83 | (89) zF2mor$(c$, all_838_4) = all_838_3 % 79.47/11.83 | (90) yFtor$(c$) = all_838_7 % 79.47/11.83 | (91) yMap$(c$, x$, eta$) = all_838_4 % 79.47/11.83 | (92) yMapInv$(c$, x$, all_838_6, all_838_4) = all_838_0 % 79.47/11.83 | (93) yMapInv$(c$, x$, all_838_6, all_838_2) = all_838_1 % 79.47/11.83 | % 79.47/11.83 | GROUND_INST: instantiating (23) with all_836_1, all_838_5, c$, simplifying % 79.47/11.83 | with (79), (88) gives: % 79.47/11.83 | (94) all_838_5 = all_836_1 % 79.47/11.83 | % 79.47/11.83 | GROUND_INST: instantiating (25) with all_760_0, all_762_0, c$, simplifying % 79.47/11.83 | with (39), (42) gives: % 79.47/11.83 | (95) all_762_0 = all_760_0 % 79.47/11.83 | % 79.47/11.83 | GROUND_INST: instantiating (26) with all_776_3, all_788_2, c$, simplifying % 79.47/11.83 | with (65), (71) gives: % 79.47/11.83 | (96) all_788_2 = all_776_3 % 79.47/11.83 | % 79.47/11.83 | GROUND_INST: instantiating (26) with all_788_2, all_836_7, c$, simplifying % 79.47/11.83 | with (71), (81) gives: % 79.47/11.83 | (97) all_836_7 = all_788_2 % 79.47/11.83 | % 79.47/11.83 | GROUND_INST: instantiating (26) with all_836_7, all_838_7, c$, simplifying % 79.47/11.83 | with (81), (90) gives: % 79.47/11.83 | (98) all_838_7 = all_836_7 % 79.47/11.83 | % 79.47/11.83 | GROUND_INST: instantiating (26) with all_773_2, all_838_7, c$, simplifying % 79.47/11.83 | with (57), (90) gives: % 79.47/11.83 | (99) all_838_7 = all_773_2 % 79.47/11.83 | % 79.47/11.83 | GROUND_INST: instantiating (35) with all_771_2, all_836_5, eta$, x$, c$, % 79.47/11.83 | simplifying with (53), (82) gives: % 79.47/11.83 | (100) all_836_5 = all_771_2 % 79.47/11.83 | % 79.47/11.83 | GROUND_INST: instantiating (35) with all_769_2, all_836_5, eta$, x$, c$, % 79.47/11.83 | simplifying with (47), (82) gives: % 79.47/11.84 | (101) all_836_5 = all_769_2 % 79.47/11.84 | % 79.47/11.84 | GROUND_INST: instantiating (35) with all_836_5, all_838_4, eta$, x$, c$, % 79.47/11.84 | simplifying with (82), (91) gives: % 79.47/11.84 | (102) all_838_4 = all_836_5 % 79.47/11.84 | % 79.47/11.84 | GROUND_INST: instantiating (35) with all_788_4, all_838_4, eta$, x$, c$, % 79.47/11.84 | simplifying with (72), (91) gives: % 79.47/11.84 | (103) all_838_4 = all_788_4 % 79.47/11.84 | % 79.47/11.84 | COMBINE_EQS: (102), (103) imply: % 79.47/11.84 | (104) all_836_5 = all_788_4 % 79.47/11.84 | % 79.47/11.84 | SIMP: (104) implies: % 79.47/11.84 | (105) all_836_5 = all_788_4 % 79.47/11.84 | % 79.47/11.84 | COMBINE_EQS: (98), (99) imply: % 79.47/11.84 | (106) all_836_7 = all_773_2 % 79.47/11.84 | % 79.47/11.84 | SIMP: (106) implies: % 79.47/11.84 | (107) all_836_7 = all_773_2 % 79.47/11.84 | % 79.47/11.84 | COMBINE_EQS: (101), (105) imply: % 79.47/11.84 | (108) all_788_4 = all_769_2 % 79.47/11.84 | % 79.47/11.84 | COMBINE_EQS: (100), (105) imply: % 79.47/11.84 | (109) all_788_4 = all_771_2 % 79.47/11.84 | % 79.47/11.84 | COMBINE_EQS: (97), (107) imply: % 79.47/11.84 | (110) all_788_2 = all_773_2 % 79.47/11.84 | % 79.47/11.84 | SIMP: (110) implies: % 79.47/11.84 | (111) all_788_2 = all_773_2 % 79.47/11.84 | % 79.47/11.84 | COMBINE_EQS: (96), (111) imply: % 79.47/11.84 | (112) all_776_3 = all_773_2 % 79.47/11.84 | % 79.47/11.84 | SIMP: (112) implies: % 79.47/11.84 | (113) all_776_3 = all_773_2 % 79.47/11.84 | % 79.47/11.84 | COMBINE_EQS: (108), (109) imply: % 79.47/11.84 | (114) all_771_2 = all_769_2 % 79.47/11.84 | % 79.47/11.84 | COMBINE_EQS: (103), (108) imply: % 79.47/11.84 | (115) all_838_4 = all_769_2 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (92), (115) imply: % 79.47/11.84 | (116) yMapInv$(c$, x$, all_838_6, all_769_2) = all_838_0 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (89), (115) imply: % 79.47/11.84 | (117) zF2mor$(c$, all_769_2) = all_838_3 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (80), (101) imply: % 79.47/11.84 | (118) zF2mor$(c$, all_769_2) = all_836_4 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (51), (114) imply: % 79.47/11.84 | (119) zF2mor$(c$, all_769_2) = all_771_1 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (78), (107) imply: % 79.47/11.84 | (120) mapM$(all_773_2) = all_836_6 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (87), (94) imply: % 79.47/11.84 | (121) fun_app$p(all_836_1, all_838_3) = all_838_2 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (41), (95) imply: % 79.47/11.84 | (122) member$i(y$, all_760_0) = 0 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (86), (99) imply: % 79.47/11.84 | (123) mapO$(all_773_2, y$) = all_838_6 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (75), (107) imply: % 79.47/11.84 | (124) mapO$(all_773_2, y$) = all_836_2 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (69), (111) imply: % 79.47/11.84 | (125) mapO$(all_773_2, y$) = all_788_1 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (62), (113) imply: % 79.47/11.84 | (126) mapO$(all_773_2, y$) = all_776_0 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (61), (113) imply: % 79.47/11.84 | (127) mapO$(all_773_2, x$) = all_776_2 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (68), (108) imply: % 79.47/11.84 | (128) elem$(all_769_2) = all_788_3 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (49), (114) imply: % 79.47/11.84 | (129) ZF$(all_769_2) % 79.47/11.84 | % 79.47/11.84 | GROUND_INST: instantiating (22) with all_769_1, all_788_3, all_769_2, % 79.47/11.84 | simplifying with (45), (128) gives: % 79.47/11.84 | (130) all_788_3 = all_769_1 % 79.47/11.84 | % 79.47/11.84 | GROUND_INST: instantiating (29) with all_776_0, all_788_1, y$, all_773_2, % 79.47/11.84 | simplifying with (125), (126) gives: % 79.47/11.84 | (131) all_788_1 = all_776_0 % 79.47/11.84 | % 79.47/11.84 | GROUND_INST: instantiating (29) with all_773_1, all_838_6, y$, all_773_2, % 79.47/11.84 | simplifying with (55), (123) gives: % 79.47/11.84 | (132) all_838_6 = all_773_1 % 79.47/11.84 | % 79.47/11.84 | GROUND_INST: instantiating (29) with all_836_2, all_838_6, y$, all_773_2, % 79.47/11.84 | simplifying with (123), (124) gives: % 79.47/11.84 | (133) all_838_6 = all_836_2 % 79.47/11.84 | % 79.47/11.84 | GROUND_INST: instantiating (29) with all_788_1, all_838_6, y$, all_773_2, % 79.47/11.84 | simplifying with (123), (125) gives: % 79.47/11.84 | (134) all_838_6 = all_788_1 % 79.47/11.84 | % 79.47/11.84 | GROUND_INST: instantiating (32) with all_836_4, all_838_3, all_769_2, c$, % 79.47/11.84 | simplifying with (117), (118) gives: % 79.47/11.84 | (135) all_838_3 = all_836_4 % 79.47/11.84 | % 79.47/11.84 | GROUND_INST: instantiating (32) with all_771_1, all_838_3, all_769_2, c$, % 79.47/11.84 | simplifying with (117), (119) gives: % 79.47/11.84 | (136) all_838_3 = all_771_1 % 79.47/11.84 | % 79.47/11.84 | COMBINE_EQS: (135), (136) imply: % 79.47/11.84 | (137) all_836_4 = all_771_1 % 79.47/11.84 | % 79.47/11.84 | SIMP: (137) implies: % 79.47/11.84 | (138) all_836_4 = all_771_1 % 79.47/11.84 | % 79.47/11.84 | COMBINE_EQS: (132), (133) imply: % 79.47/11.84 | (139) all_836_2 = all_773_1 % 79.47/11.84 | % 79.47/11.84 | COMBINE_EQS: (133), (134) imply: % 79.47/11.84 | (140) all_836_2 = all_788_1 % 79.47/11.84 | % 79.47/11.84 | COMBINE_EQS: (139), (140) imply: % 79.47/11.84 | (141) all_788_1 = all_773_1 % 79.47/11.84 | % 79.47/11.84 | SIMP: (141) implies: % 79.47/11.84 | (142) all_788_1 = all_773_1 % 79.47/11.84 | % 79.47/11.84 | COMBINE_EQS: (131), (142) imply: % 79.47/11.84 | (143) all_776_0 = all_773_1 % 79.47/11.84 | % 79.47/11.84 | SIMP: (143) implies: % 79.47/11.84 | (144) all_776_0 = all_773_1 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (93), (132) imply: % 79.47/11.84 | (145) yMapInv$(c$, x$, all_773_1, all_838_2) = all_838_1 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (116), (132) imply: % 79.47/11.84 | (146) yMapInv$(c$, x$, all_773_1, all_769_2) = all_838_0 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (83), (139) imply: % 79.47/11.84 | (147) yMapInv$(c$, x$, all_773_1, all_836_0) = all_836_3 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (77), (138) imply: % 79.47/11.84 | (148) fun_app$q(all_836_6, all_771_1) = all_836_3 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (121), (136) imply: % 79.47/11.84 | (149) fun_app$p(all_836_1, all_771_1) = all_838_2 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (76), (138) imply: % 79.47/11.84 | (150) fun_app$p(all_836_1, all_771_1) = all_836_0 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (63), (144) imply: % 79.47/11.84 | (151) fun_app$f(all_776_1, all_773_1) = 0 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (70), (142) imply: % 79.47/11.84 | (152) mapO$a(all_773_1, x$) = all_788_0 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (67), (130) imply: % 79.47/11.84 | (153) fun_app$b(all_769_1, all_788_0) = 0 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (74), (138) imply: % 79.47/11.84 | (154) B$(all_771_1) % 79.47/11.84 | % 79.47/11.84 | REDUCE: (60), (144) imply: % 79.47/11.84 | (155) A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_773_1) % 79.47/11.84 | % 79.47/11.84 | GROUND_INST: instantiating (31) with all_836_0, all_838_2, all_771_1, % 79.47/11.84 | all_836_1, simplifying with (149), (150) gives: % 79.47/11.84 | (156) all_838_2 = all_836_0 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (145), (156) imply: % 79.47/11.84 | (157) yMapInv$(c$, x$, all_773_1, all_836_0) = all_838_1 % 79.47/11.84 | % 79.47/11.84 | GROUND_INST: instantiating (36) with all_836_3, all_838_1, all_836_0, % 79.47/11.84 | all_773_1, x$, c$, simplifying with (147), (157) gives: % 79.47/11.84 | (158) all_838_1 = all_836_3 % 79.47/11.84 | % 79.47/11.84 | REDUCE: (85), (158) imply: % 79.47/11.84 | (159) ~ (all_838_0 = all_836_3) % 79.47/11.84 | % 79.47/11.85 | GROUND_INST: instantiating (axiom210) with c$, all_771_1, x$, y$, all_771_0, % 79.47/11.85 | simplifying with (17), (19), (20), (50), (52), (154) gives: % 79.47/11.85 | (160) ? [v0: any] : ? [v1: A_set$] : ? [v2: any] : (category$c(c$) = v0 % 79.47/11.85 | & obj$b(c$) = v1 & member$i(y$, v1) = v2 & A_set$(v1) & ( ~ (v0 = % 79.47/11.85 | 0) | v2 = 0)) % 79.47/11.85 | % 79.47/11.85 | GROUND_INST: instantiating (axiom206) with c$, all_771_1, x$, y$, all_771_0, % 79.47/11.85 | simplifying with (17), (19), (20), (50), (52), (154) gives: % 79.47/11.85 | (161) ? [v0: any] : ? [v1: A_set$] : ? [v2: any] : (category$c(c$) = v0 % 79.47/11.85 | & obj$b(c$) = v1 & member$i(x$, v1) = v2 & A_set$(v1) & ( ~ (v0 = % 79.47/11.85 | 0) | v2 = 0)) % 79.47/11.85 | % 79.47/11.85 | GROUND_INST: instantiating (axiom71) with c$, y$, y$, all_769_2, all_760_0, % 79.47/11.85 | all_771_1, all_836_1, all_836_0, simplifying with (17), (20), % 79.47/11.85 | (39), (79), (119), (122), (129), (150) gives: % 79.47/11.85 | (162) ? [v0: any] : ? [v1: ZF_bool_fun$] : ? [v2: ZF$] : ? [v3: any] : % 79.47/11.85 | ? [v4: A_bool_fun$] : ? [v5: any] : (lSCategory$(c$) = v0 & % 79.47/11.85 | homSet$(c$, y$, y$) = v2 & mapsTo$(c$, all_771_1, y$) = v4 & % 79.47/11.85 | fun_app$l(v4, y$) = v5 & elem$(all_769_2) = v1 & fun_app$b(v1, v2) % 79.47/11.85 | = v3 & ZF$(v2) & ZF_bool_fun$(v1) & A_bool_fun$(v4) & ( ~ (v3 = 0) % 79.47/11.85 | | ~ (v0 = 0) | (v5 = 0 & all_836_0 = all_769_2))) % 79.47/11.85 | % 79.47/11.85 | GROUND_INST: instantiating (axiom71) with c$, x$, y$, all_769_2, all_760_0, % 79.47/11.85 | all_771_1, all_836_1, all_836_0, simplifying with (17), (19), % 79.47/11.85 | (20), (38), (39), (79), (119), (122), (129), (150) gives: % 79.47/11.85 | (163) ? [v0: any] : ? [v1: ZF_bool_fun$] : ? [v2: ZF$] : ? [v3: any] : % 79.47/11.85 | ? [v4: A_bool_fun$] : ? [v5: any] : (lSCategory$(c$) = v0 & % 79.47/11.85 | homSet$(c$, x$, y$) = v2 & mapsTo$(c$, all_771_1, x$) = v4 & % 79.47/11.85 | fun_app$l(v4, y$) = v5 & elem$(all_769_2) = v1 & fun_app$b(v1, v2) % 79.47/11.85 | = v3 & ZF$(v2) & ZF_bool_fun$(v1) & A_bool_fun$(v4) & ( ~ (v3 = 0) % 79.47/11.85 | | ~ (v0 = 0) | (v5 = 0 & all_836_0 = all_769_2))) % 79.47/11.85 | % 79.47/11.85 | GROUND_INST: instantiating (axiom71) with c$, y$, x$, all_769_2, all_760_0, % 79.47/11.85 | all_771_1, all_836_1, all_836_0, simplifying with (17), (19), % 79.47/11.85 | (20), (38), (39), (79), (119), (122), (129), (150) gives: % 79.47/11.85 | (164) ? [v0: any] : ? [v1: ZF_bool_fun$] : ? [v2: ZF$] : ? [v3: any] : % 79.47/11.85 | ? [v4: A_bool_fun$] : ? [v5: any] : (lSCategory$(c$) = v0 & % 79.47/11.85 | homSet$(c$, y$, x$) = v2 & mapsTo$(c$, all_771_1, y$) = v4 & % 79.47/11.85 | fun_app$l(v4, x$) = v5 & elem$(all_769_2) = v1 & fun_app$b(v1, v2) % 79.47/11.85 | = v3 & ZF$(v2) & ZF_bool_fun$(v1) & A_bool_fun$(v4) & ( ~ (v3 = 0) % 79.47/11.85 | | ~ (v0 = 0) | (v5 = 0 & all_836_0 = all_769_2))) % 79.47/11.85 | % 79.47/11.85 | GROUND_INST: instantiating (axiom71) with c$, x$, x$, all_769_2, all_760_0, % 79.47/11.85 | all_771_1, all_836_1, all_836_0, simplifying with (17), (19), % 79.47/11.85 | (38), (39), (79), (119), (129), (150) gives: % 79.47/11.85 | (165) ? [v0: any] : ? [v1: ZF_bool_fun$] : ? [v2: ZF$] : ? [v3: any] : % 79.47/11.85 | ? [v4: A_bool_fun$] : ? [v5: any] : (lSCategory$(c$) = v0 & % 79.47/11.85 | homSet$(c$, x$, x$) = v2 & mapsTo$(c$, all_771_1, x$) = v4 & % 79.47/11.85 | fun_app$l(v4, x$) = v5 & elem$(all_769_2) = v1 & fun_app$b(v1, v2) % 79.47/11.85 | = v3 & ZF$(v2) & ZF_bool_fun$(v1) & A_bool_fun$(v4) & ( ~ (v3 = 0) % 79.47/11.85 | | ~ (v0 = 0) | (v5 = 0 & all_836_0 = all_769_2))) % 79.47/11.85 | % 79.47/11.85 | GROUND_INST: instantiating (14) with c$, y$, all_760_0, simplifying with (17), % 79.47/11.85 | (20), (39), (122) gives: % 79.47/11.85 | (166) ? [v0: any] : ? [v1: % 79.47/11.85 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v2: any] % 79.47/11.85 | : (homFtor$a(c$, y$) = v1 & lSCategory$(c$) = v0 & % 79.47/11.85 | fun_app$f(functorM$, v1) = v2 & % 79.47/11.85 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1) & ( ~ (v0 = % 79.47/11.85 | 0) | v2 = 0)) % 79.47/11.85 | % 79.47/11.85 | GROUND_INST: instantiating (16) with c$, y$, all_760_0, simplifying with (17), % 79.47/11.85 | (20), (39), (122) gives: % 79.47/11.85 | (167) ? [v0: any] : ? [v1: % 79.47/11.85 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v2: any] % 79.47/11.85 | : (homFtor$(c$, y$) = v1 & lSCategory$(c$) = v0 & fun_app$f(functor$, % 79.47/11.85 | v1) = v2 & % 79.47/11.85 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1) & ( ~ (v0 = % 79.47/11.85 | 0) | v2 = 0)) % 79.47/11.85 | % 79.47/11.85 | GROUND_INST: instantiating (14) with c$, x$, all_760_0, simplifying with (17), % 79.47/11.85 | (19), (38), (39) gives: % 79.47/11.85 | (168) ? [v0: any] : ? [v1: % 79.47/11.85 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v2: any] % 79.47/11.85 | : (homFtor$a(c$, x$) = v1 & lSCategory$(c$) = v0 & % 79.47/11.85 | fun_app$f(functorM$, v1) = v2 & % 79.47/11.85 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1) & ( ~ (v0 = % 79.47/11.85 | 0) | v2 = 0)) % 79.47/11.85 | % 79.47/11.85 | GROUND_INST: instantiating (10) with c$, all_773_1, x$, eta$, all_773_2, % 79.47/11.85 | all_776_2, all_776_1, simplifying with (17), (18), (19), (57), % 79.47/11.85 | (64), (127), (151), (155) gives: % 79.47/11.85 | (169) ? [v0: any] : ? [v1: A_b_b_c_LSCategory_ext_Category_ext$] : ? % 79.47/11.85 | [v2: any] : ? [v3: A_set$] : ? [v4: any] : ? [v5: ZF$] : ? [v6: % 79.47/11.85 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : % 79.47/11.85 | (oppositeCategory$(c$) = v1 & yMapInv$(c$, x$, all_773_1, v5) = v6 & % 79.47/11.85 | yMap$(c$, x$, eta$) = v5 & obj$b(c$) = v3 & lSCategory$(c$) = v0 & % 79.47/11.85 | functor_abbrev$(all_773_1, v1, set$) = v2 & member$i(x$, v3) = v4 & % 79.47/11.85 | ZF$(v5) & A_set$(v3) & % 79.47/11.85 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v6) & % 79.47/11.85 | A_b_b_c_LSCategory_ext_Category_ext$(v1) & ( ~ (v4 = 0) | ~ (v2 = % 79.47/11.85 | 0) | ~ (v0 = 0) | v6 = eta$)) % 79.47/11.85 | % 79.47/11.85 | GROUND_INST: instantiating (axiom48) with c$, x$, y$, all_773_2, all_773_1, % 79.47/11.85 | all_788_0, simplifying with (17), (19), (20), (55), (57), (152) % 79.47/11.85 | gives: % 79.47/11.85 | (170) ? [v0: any] : ? [v1: A_set$] : ? [v2: any] : ? [v3: any] : ? % 79.47/11.85 | [v4: ZF$] : (obj$b(c$) = v1 & lSCategory$(c$) = v0 & homSet$(c$, x$, % 79.47/11.85 | y$) = v4 & member$i(y$, v1) = v3 & member$i(x$, v1) = v2 & % 79.47/11.85 | ZF$(v4) & A_set$(v1) & ( ~ (v3 = 0) | ~ (v2 = 0) | ~ (v0 = 0) | % 79.47/11.85 | v4 = all_788_0)) % 79.47/11.85 | % 79.47/11.85 | GROUND_INST: instantiating (axiom84) with c$, all_771_1, all_773_2, all_836_6, % 79.47/11.85 | all_836_3, simplifying with (17), (57), (120), (148), (154) % 79.47/11.85 | gives: % 79.47/11.85 | (171) ? [v0: any] : ? [v1: B_set$] : ? [v2: any] : ? [v3: % 79.47/11.85 | B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ? % 79.47/11.85 | [v4: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : % 79.47/11.85 | (yFtorNT$(c$) = v3 & lSCategory$(c$) = v0 & mor$(c$) = v1 & % 79.47/11.85 | fun_app$q(v3, all_771_1) = v4 & member$h(all_771_1, v1) = v2 & % 79.47/11.85 | B_set$(v1) & % 79.47/11.85 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v4) & % 79.47/11.85 | B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$(v3) & ( % 79.47/11.85 | ~ (v2 = 0) | ~ (v0 = 0) | v4 = all_836_3)) % 79.47/11.85 | % 79.47/11.85 | GROUND_INST: instantiating (axiom44) with c$, y$, all_773_2, all_773_1, % 79.47/11.85 | simplifying with (17), (20), (55), (57) gives: % 79.47/11.85 | (172) ? [v0: any] : ? [v1: A_set$] : ? [v2: any] : ? [v3: % 79.47/11.85 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : % 79.47/11.85 | (homFtorContra$(c$, y$) = v3 & obj$b(c$) = v1 & lSCategory$(c$) = v0 % 79.47/11.85 | & member$i(y$, v1) = v2 & A_set$(v1) & % 79.47/11.85 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v3) & ( ~ (v2 = % 79.47/11.85 | 0) | ~ (v0 = 0) | v3 = all_773_1)) % 79.47/11.85 | % 79.47/11.85 | GROUND_INST: instantiating (axiom44) with c$, x$, all_773_2, all_776_2, % 79.47/11.85 | simplifying with (17), (19), (57), (127) gives: % 79.47/11.85 | (173) ? [v0: any] : ? [v1: A_set$] : ? [v2: any] : ? [v3: % 79.47/11.85 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : % 79.47/11.85 | (homFtorContra$(c$, x$) = v3 & obj$b(c$) = v1 & lSCategory$(c$) = v0 % 79.47/11.85 | & member$i(x$, v1) = v2 & A_set$(v1) & % 79.47/11.85 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v3) & ( ~ (v2 = % 79.47/11.85 | 0) | ~ (v0 = 0) | v3 = all_776_2)) % 79.47/11.85 | % 79.47/11.86 | GROUND_INST: instantiating (12) with c$, all_773_1, x$, all_769_2, all_773_0, % 79.47/11.86 | all_769_1, all_788_0, simplifying with (17), (19), (45), (56), % 79.47/11.86 | (58), (129), (152), (153), (155) gives: % 79.47/11.86 | (174) ? [v0: any] : ? [v1: A_set$] : ? [v2: any] : ? [v3: % 79.47/11.86 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v4: % 79.47/11.86 | any] : (yMapInv$a(c$, x$, all_773_1, all_769_2) = v3 & obj$b(c$) = % 79.47/11.86 | v1 & lSCategory$(c$) = v0 & member$i(x$, v1) = v2 & % 79.47/11.86 | fun_app$e(natTransP$, v3) = v4 & A_set$(v1) & % 79.47/11.86 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v3) & ( ~ (v2 % 79.47/11.86 | = 0) | ~ (v0 = 0) | v4 = 0)) % 79.47/11.86 | % 79.47/11.86 | GROUND_INST: instantiating (11) with c$, all_773_1, x$, all_769_2, all_773_0, % 79.47/11.86 | all_769_1, all_788_0, simplifying with (17), (19), (45), (56), % 79.47/11.86 | (58), (129), (152), (153), (155) gives: % 79.47/11.86 | (175) ? [v0: any] : ? [v1: A_set$] : ? [v2: any] : ? [v3: % 79.47/11.86 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v4: % 79.47/11.86 | ZF$] : (yMapInv$(c$, x$, all_773_1, all_769_2) = v3 & yMap$(c$, x$, % 79.47/11.86 | v3) = v4 & obj$b(c$) = v1 & lSCategory$(c$) = v0 & member$i(x$, % 79.47/11.86 | v1) = v2 & ZF$(v4) & A_set$(v1) & % 79.47/11.86 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v3) & ( ~ (v2 % 79.47/11.86 | = 0) | ~ (v0 = 0) | v4 = all_769_2)) % 79.47/11.86 | % 79.47/11.86 | GROUND_INST: instantiating (13) with c$, all_773_1, x$, all_769_2, all_773_0, % 79.47/11.86 | all_769_1, all_788_0, simplifying with (17), (19), (45), (56), % 79.47/11.86 | (58), (129), (152), (153), (155) gives: % 79.47/11.86 | (176) ? [v0: any] : ? [v1: A_set$] : ? [v2: any] : ? [v3: % 79.47/11.86 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v4: % 79.47/11.86 | any] : (yMapInv$(c$, x$, all_773_1, all_769_2) = v3 & obj$b(c$) = % 79.47/11.86 | v1 & lSCategory$(c$) = v0 & member$i(x$, v1) = v2 & % 79.47/11.86 | fun_app$e(natTrans$, v3) = v4 & A_set$(v1) & % 79.47/11.86 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v3) & ( ~ (v2 % 79.47/11.86 | = 0) | ~ (v0 = 0) | v4 = 0)) % 79.47/11.86 | % 79.47/11.86 | GROUND_INST: instantiating (15) with c$, all_773_0, simplifying with (17), % 79.47/11.86 | (58) gives: % 79.47/11.86 | (177) ? [v0: any] : ? [v1: % 79.47/11.86 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$] % 79.47/11.86 | : ? [v2: any] : (category$(v1) = v2 & catExp$(all_773_0, set$) = v1 % 79.47/11.86 | & lSCategory$(c$) = v0 & % 79.47/11.86 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$(v1) % 79.47/11.86 | & ( ~ (v0 = 0) | v2 = 0)) % 79.47/11.86 | % 79.47/11.86 | DELTA: instantiating (168) with fresh symbols all_918_0, all_918_1, all_918_2 % 79.47/11.86 | gives: % 79.47/11.86 | (178) homFtor$a(c$, x$) = all_918_1 & lSCategory$(c$) = all_918_2 & % 79.47/11.86 | fun_app$f(functorM$, all_918_1) = all_918_0 & % 79.47/11.86 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_918_1) & ( ~ % 79.47/11.86 | (all_918_2 = 0) | all_918_0 = 0) % 79.47/11.86 | % 79.47/11.86 | ALPHA: (178) implies: % 79.47/11.86 | (179) lSCategory$(c$) = all_918_2 % 79.47/11.86 | % 79.47/11.86 | DELTA: instantiating (167) with fresh symbols all_920_0, all_920_1, all_920_2 % 79.47/11.86 | gives: % 79.47/11.86 | (180) homFtor$(c$, y$) = all_920_1 & lSCategory$(c$) = all_920_2 & % 79.47/11.86 | fun_app$f(functor$, all_920_1) = all_920_0 & % 79.47/11.86 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_920_1) & ( ~ % 79.47/11.86 | (all_920_2 = 0) | all_920_0 = 0) % 79.47/11.86 | % 79.47/11.86 | ALPHA: (180) implies: % 79.47/11.86 | (181) lSCategory$(c$) = all_920_2 % 79.47/11.86 | % 79.47/11.86 | DELTA: instantiating (177) with fresh symbols all_932_0, all_932_1, all_932_2 % 79.47/11.86 | gives: % 79.47/11.86 | (182) category$(all_932_1) = all_932_0 & catExp$(all_773_0, set$) = % 79.47/11.86 | all_932_1 & lSCategory$(c$) = all_932_2 & % 79.47/11.86 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$(all_932_1) % 79.47/11.86 | & ( ~ (all_932_2 = 0) | all_932_0 = 0) % 79.47/11.86 | % 79.47/11.86 | ALPHA: (182) implies: % 79.47/11.86 | (183) lSCategory$(c$) = all_932_2 % 79.47/11.86 | (184) ~ (all_932_2 = 0) | all_932_0 = 0 % 79.47/11.86 | % 79.47/11.86 | DELTA: instantiating (166) with fresh symbols all_936_0, all_936_1, all_936_2 % 79.47/11.86 | gives: % 79.47/11.86 | (185) homFtor$a(c$, y$) = all_936_1 & lSCategory$(c$) = all_936_2 & % 79.47/11.86 | fun_app$f(functorM$, all_936_1) = all_936_0 & % 79.47/11.86 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_936_1) & ( ~ % 79.47/11.86 | (all_936_2 = 0) | all_936_0 = 0) % 79.47/11.86 | % 79.47/11.86 | ALPHA: (185) implies: % 79.47/11.86 | (186) lSCategory$(c$) = all_936_2 % 79.47/11.86 | % 79.47/11.86 | DELTA: instantiating (161) with fresh symbols all_938_0, all_938_1, all_938_2 % 79.47/11.86 | gives: % 79.47/11.86 | (187) category$c(c$) = all_938_2 & obj$b(c$) = all_938_1 & member$i(x$, % 79.47/11.86 | all_938_1) = all_938_0 & A_set$(all_938_1) & ( ~ (all_938_2 = 0) | % 79.47/11.86 | all_938_0 = 0) % 79.47/11.86 | % 79.47/11.86 | ALPHA: (187) implies: % 79.47/11.86 | (188) member$i(x$, all_938_1) = all_938_0 % 79.47/11.86 | (189) obj$b(c$) = all_938_1 % 79.47/11.86 | % 79.47/11.86 | DELTA: instantiating (160) with fresh symbols all_940_0, all_940_1, all_940_2 % 79.47/11.86 | gives: % 79.47/11.86 | (190) category$c(c$) = all_940_2 & obj$b(c$) = all_940_1 & member$i(y$, % 79.47/11.86 | all_940_1) = all_940_0 & A_set$(all_940_1) & ( ~ (all_940_2 = 0) | % 79.47/11.86 | all_940_0 = 0) % 79.47/11.86 | % 79.47/11.86 | ALPHA: (190) implies: % 79.47/11.86 | (191) obj$b(c$) = all_940_1 % 79.47/11.86 | % 79.47/11.86 | DELTA: instantiating (173) with fresh symbols all_942_0, all_942_1, all_942_2, % 79.47/11.86 | all_942_3 gives: % 79.47/11.86 | (192) homFtorContra$(c$, x$) = all_942_0 & obj$b(c$) = all_942_2 & % 79.47/11.86 | lSCategory$(c$) = all_942_3 & member$i(x$, all_942_2) = all_942_1 & % 79.47/11.86 | A_set$(all_942_2) & % 79.47/11.86 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_942_0) & ( ~ % 79.47/11.86 | (all_942_1 = 0) | ~ (all_942_3 = 0) | all_942_0 = all_776_2) % 79.47/11.86 | % 79.47/11.86 | ALPHA: (192) implies: % 79.47/11.86 | (193) member$i(x$, all_942_2) = all_942_1 % 79.47/11.86 | (194) lSCategory$(c$) = all_942_3 % 79.47/11.86 | (195) obj$b(c$) = all_942_2 % 79.47/11.86 | % 79.47/11.86 | DELTA: instantiating (172) with fresh symbols all_946_0, all_946_1, all_946_2, % 79.47/11.86 | all_946_3 gives: % 79.47/11.86 | (196) homFtorContra$(c$, y$) = all_946_0 & obj$b(c$) = all_946_2 & % 79.47/11.86 | lSCategory$(c$) = all_946_3 & member$i(y$, all_946_2) = all_946_1 & % 79.47/11.86 | A_set$(all_946_2) & % 79.47/11.86 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_946_0) & ( ~ % 79.47/11.86 | (all_946_1 = 0) | ~ (all_946_3 = 0) | all_946_0 = all_773_1) % 79.47/11.86 | % 79.47/11.86 | ALPHA: (196) implies: % 79.47/11.86 | (197) lSCategory$(c$) = all_946_3 % 79.47/11.86 | (198) obj$b(c$) = all_946_2 % 79.47/11.86 | % 79.47/11.86 | DELTA: instantiating (176) with fresh symbols all_948_0, all_948_1, all_948_2, % 79.47/11.86 | all_948_3, all_948_4 gives: % 79.47/11.86 | (199) yMapInv$(c$, x$, all_773_1, all_769_2) = all_948_1 & obj$b(c$) = % 79.47/11.86 | all_948_3 & lSCategory$(c$) = all_948_4 & member$i(x$, all_948_3) = % 79.47/11.86 | all_948_2 & fun_app$e(natTrans$, all_948_1) = all_948_0 & % 79.47/11.86 | A_set$(all_948_3) & % 79.47/11.86 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(all_948_1) & ( ~ % 79.47/11.86 | (all_948_2 = 0) | ~ (all_948_4 = 0) | all_948_0 = 0) % 79.47/11.86 | % 79.47/11.86 | ALPHA: (199) implies: % 79.47/11.86 | (200) member$i(x$, all_948_3) = all_948_2 % 79.47/11.86 | (201) lSCategory$(c$) = all_948_4 % 79.47/11.86 | (202) obj$b(c$) = all_948_3 % 79.47/11.86 | (203) yMapInv$(c$, x$, all_773_1, all_769_2) = all_948_1 % 79.47/11.86 | % 79.47/11.86 | DELTA: instantiating (174) with fresh symbols all_950_0, all_950_1, all_950_2, % 79.47/11.86 | all_950_3, all_950_4 gives: % 79.47/11.86 | (204) yMapInv$a(c$, x$, all_773_1, all_769_2) = all_950_1 & obj$b(c$) = % 79.47/11.86 | all_950_3 & lSCategory$(c$) = all_950_4 & member$i(x$, all_950_3) = % 79.47/11.86 | all_950_2 & fun_app$e(natTransP$, all_950_1) = all_950_0 & % 79.47/11.86 | A_set$(all_950_3) & % 79.47/11.86 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(all_950_1) & ( ~ % 79.47/11.86 | (all_950_2 = 0) | ~ (all_950_4 = 0) | all_950_0 = 0) % 79.47/11.86 | % 79.47/11.86 | ALPHA: (204) implies: % 79.47/11.86 | (205) member$i(x$, all_950_3) = all_950_2 % 79.47/11.86 | (206) lSCategory$(c$) = all_950_4 % 79.47/11.86 | (207) obj$b(c$) = all_950_3 % 79.47/11.86 | % 79.47/11.86 | DELTA: instantiating (170) with fresh symbols all_952_0, all_952_1, all_952_2, % 79.47/11.86 | all_952_3, all_952_4 gives: % 79.47/11.86 | (208) obj$b(c$) = all_952_3 & lSCategory$(c$) = all_952_4 & homSet$(c$, x$, % 79.47/11.86 | y$) = all_952_0 & member$i(y$, all_952_3) = all_952_1 & % 79.47/11.86 | member$i(x$, all_952_3) = all_952_2 & ZF$(all_952_0) & % 79.47/11.86 | A_set$(all_952_3) & ( ~ (all_952_1 = 0) | ~ (all_952_2 = 0) | ~ % 79.47/11.86 | (all_952_4 = 0) | all_952_0 = all_788_0) % 79.47/11.86 | % 79.47/11.86 | ALPHA: (208) implies: % 79.47/11.86 | (209) member$i(x$, all_952_3) = all_952_2 % 79.47/11.86 | (210) homSet$(c$, x$, y$) = all_952_0 % 79.47/11.86 | (211) obj$b(c$) = all_952_3 % 79.47/11.86 | % 79.47/11.86 | DELTA: instantiating (175) with fresh symbols all_954_0, all_954_1, all_954_2, % 79.47/11.86 | all_954_3, all_954_4 gives: % 79.47/11.86 | (212) yMapInv$(c$, x$, all_773_1, all_769_2) = all_954_1 & yMap$(c$, x$, % 79.47/11.86 | all_954_1) = all_954_0 & obj$b(c$) = all_954_3 & lSCategory$(c$) = % 79.47/11.86 | all_954_4 & member$i(x$, all_954_3) = all_954_2 & ZF$(all_954_0) & % 79.47/11.86 | A_set$(all_954_3) & % 79.47/11.86 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(all_954_1) & ( ~ % 79.47/11.86 | (all_954_2 = 0) | ~ (all_954_4 = 0) | all_954_0 = all_769_2) % 79.47/11.86 | % 79.47/11.86 | ALPHA: (212) implies: % 79.47/11.86 | (213) member$i(x$, all_954_3) = all_954_2 % 79.47/11.86 | (214) lSCategory$(c$) = all_954_4 % 79.47/11.86 | (215) obj$b(c$) = all_954_3 % 79.47/11.86 | (216) yMapInv$(c$, x$, all_773_1, all_769_2) = all_954_1 % 79.47/11.86 | % 79.47/11.86 | DELTA: instantiating (171) with fresh symbols all_956_0, all_956_1, all_956_2, % 79.47/11.86 | all_956_3, all_956_4 gives: % 79.47/11.86 | (217) yFtorNT$(c$) = all_956_1 & lSCategory$(c$) = all_956_4 & mor$(c$) = % 79.47/11.86 | all_956_3 & fun_app$q(all_956_1, all_771_1) = all_956_0 & % 79.47/11.86 | member$h(all_771_1, all_956_3) = all_956_2 & B_set$(all_956_3) & % 79.47/11.86 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(all_956_0) & % 79.47/11.86 | B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$(all_956_1) % 79.47/11.86 | & ( ~ (all_956_2 = 0) | ~ (all_956_4 = 0) | all_956_0 = all_836_3) % 79.47/11.86 | % 79.47/11.86 | ALPHA: (217) implies: % 79.47/11.86 | (218) lSCategory$(c$) = all_956_4 % 79.47/11.86 | % 79.47/11.86 | DELTA: instantiating (164) with fresh symbols all_958_0, all_958_1, all_958_2, % 79.47/11.86 | all_958_3, all_958_4, all_958_5 gives: % 79.47/11.87 | (219) lSCategory$(c$) = all_958_5 & homSet$(c$, y$, x$) = all_958_3 & % 79.47/11.87 | mapsTo$(c$, all_771_1, y$) = all_958_1 & fun_app$l(all_958_1, x$) = % 79.47/11.87 | all_958_0 & elem$(all_769_2) = all_958_4 & fun_app$b(all_958_4, % 79.47/11.87 | all_958_3) = all_958_2 & ZF$(all_958_3) & ZF_bool_fun$(all_958_4) & % 79.47/11.87 | A_bool_fun$(all_958_1) & ( ~ (all_958_2 = 0) | ~ (all_958_5 = 0) | % 79.47/11.87 | (all_958_0 = 0 & all_836_0 = all_769_2)) % 79.47/11.87 | % 79.47/11.87 | ALPHA: (219) implies: % 79.47/11.87 | (220) elem$(all_769_2) = all_958_4 % 79.47/11.87 | (221) lSCategory$(c$) = all_958_5 % 79.47/11.87 | % 79.47/11.87 | DELTA: instantiating (165) with fresh symbols all_960_0, all_960_1, all_960_2, % 79.47/11.87 | all_960_3, all_960_4, all_960_5 gives: % 79.47/11.87 | (222) lSCategory$(c$) = all_960_5 & homSet$(c$, x$, x$) = all_960_3 & % 79.47/11.87 | mapsTo$(c$, all_771_1, x$) = all_960_1 & fun_app$l(all_960_1, x$) = % 79.47/11.87 | all_960_0 & elem$(all_769_2) = all_960_4 & fun_app$b(all_960_4, % 79.47/11.87 | all_960_3) = all_960_2 & ZF$(all_960_3) & ZF_bool_fun$(all_960_4) & % 79.47/11.87 | A_bool_fun$(all_960_1) & ( ~ (all_960_2 = 0) | ~ (all_960_5 = 0) | % 79.47/11.87 | (all_960_0 = 0 & all_836_0 = all_769_2)) % 79.47/11.87 | % 79.47/11.87 | ALPHA: (222) implies: % 79.47/11.87 | (223) elem$(all_769_2) = all_960_4 % 79.47/11.87 | (224) lSCategory$(c$) = all_960_5 % 79.47/11.87 | % 79.47/11.87 | DELTA: instantiating (163) with fresh symbols all_962_0, all_962_1, all_962_2, % 79.47/11.87 | all_962_3, all_962_4, all_962_5 gives: % 79.47/11.87 | (225) lSCategory$(c$) = all_962_5 & homSet$(c$, x$, y$) = all_962_3 & % 79.47/11.87 | mapsTo$(c$, all_771_1, x$) = all_962_1 & fun_app$l(all_962_1, y$) = % 79.47/11.87 | all_962_0 & elem$(all_769_2) = all_962_4 & fun_app$b(all_962_4, % 79.47/11.87 | all_962_3) = all_962_2 & ZF$(all_962_3) & ZF_bool_fun$(all_962_4) & % 79.47/11.87 | A_bool_fun$(all_962_1) & ( ~ (all_962_2 = 0) | ~ (all_962_5 = 0) | % 79.47/11.87 | (all_962_0 = 0 & all_836_0 = all_769_2)) % 79.47/11.87 | % 79.47/11.87 | ALPHA: (225) implies: % 79.47/11.87 | (226) fun_app$b(all_962_4, all_962_3) = all_962_2 % 79.47/11.87 | (227) elem$(all_769_2) = all_962_4 % 79.47/11.87 | (228) homSet$(c$, x$, y$) = all_962_3 % 79.47/11.87 | (229) lSCategory$(c$) = all_962_5 % 79.47/11.87 | (230) ~ (all_962_2 = 0) | ~ (all_962_5 = 0) | (all_962_0 = 0 & all_836_0 % 79.47/11.87 | = all_769_2) % 79.47/11.87 | % 79.47/11.87 | DELTA: instantiating (162) with fresh symbols all_964_0, all_964_1, all_964_2, % 79.47/11.87 | all_964_3, all_964_4, all_964_5 gives: % 79.47/11.87 | (231) lSCategory$(c$) = all_964_5 & homSet$(c$, y$, y$) = all_964_3 & % 79.47/11.87 | mapsTo$(c$, all_771_1, y$) = all_964_1 & fun_app$l(all_964_1, y$) = % 79.47/11.87 | all_964_0 & elem$(all_769_2) = all_964_4 & fun_app$b(all_964_4, % 79.47/11.87 | all_964_3) = all_964_2 & ZF$(all_964_3) & ZF_bool_fun$(all_964_4) & % 79.47/11.87 | A_bool_fun$(all_964_1) & ( ~ (all_964_2 = 0) | ~ (all_964_5 = 0) | % 79.47/11.87 | (all_964_0 = 0 & all_836_0 = all_769_2)) % 79.47/11.87 | % 79.47/11.87 | ALPHA: (231) implies: % 79.47/11.87 | (232) elem$(all_769_2) = all_964_4 % 79.47/11.87 | % 79.47/11.87 | DELTA: instantiating (169) with fresh symbols all_966_0, all_966_1, all_966_2, % 79.47/11.87 | all_966_3, all_966_4, all_966_5, all_966_6 gives: % 79.47/11.87 | (233) oppositeCategory$(c$) = all_966_5 & yMapInv$(c$, x$, all_773_1, % 79.47/11.87 | all_966_1) = all_966_0 & yMap$(c$, x$, eta$) = all_966_1 & % 79.47/11.87 | obj$b(c$) = all_966_3 & lSCategory$(c$) = all_966_6 & % 79.47/11.87 | functor_abbrev$(all_773_1, all_966_5, set$) = all_966_4 & % 79.47/11.87 | member$i(x$, all_966_3) = all_966_2 & ZF$(all_966_1) & % 79.47/11.87 | A_set$(all_966_3) & % 79.47/11.87 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(all_966_0) & % 79.47/11.87 | A_b_b_c_LSCategory_ext_Category_ext$(all_966_5) & ( ~ (all_966_2 = 0) % 79.47/11.87 | | ~ (all_966_4 = 0) | ~ (all_966_6 = 0) | all_966_0 = eta$) % 79.47/11.87 | % 79.47/11.87 | ALPHA: (233) implies: % 79.47/11.87 | (234) member$i(x$, all_966_3) = all_966_2 % 79.47/11.87 | (235) functor_abbrev$(all_773_1, all_966_5, set$) = all_966_4 % 79.47/11.87 | (236) lSCategory$(c$) = all_966_6 % 79.47/11.87 | (237) obj$b(c$) = all_966_3 % 79.47/11.87 | (238) yMap$(c$, x$, eta$) = all_966_1 % 79.47/11.87 | (239) yMapInv$(c$, x$, all_773_1, all_966_1) = all_966_0 % 79.47/11.87 | (240) oppositeCategory$(c$) = all_966_5 % 79.47/11.87 | (241) ~ (all_966_2 = 0) | ~ (all_966_4 = 0) | ~ (all_966_6 = 0) | % 79.47/11.87 | all_966_0 = eta$ % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (22) with all_769_1, all_960_4, all_769_2, % 79.47/11.87 | simplifying with (45), (223) gives: % 79.47/11.87 | (242) all_960_4 = all_769_1 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (22) with all_960_4, all_962_4, all_769_2, % 79.47/11.87 | simplifying with (223), (227) gives: % 79.47/11.87 | (243) all_962_4 = all_960_4 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (22) with all_962_4, all_964_4, all_769_2, % 79.47/11.87 | simplifying with (227), (232) gives: % 79.47/11.87 | (244) all_964_4 = all_962_4 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (22) with all_958_4, all_964_4, all_769_2, % 79.47/11.87 | simplifying with (220), (232) gives: % 79.47/11.87 | (245) all_964_4 = all_958_4 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (34) with all_769_0, all_962_3, y$, x$, c$, % 79.47/11.87 | simplifying with (46), (228) gives: % 79.47/11.87 | (246) all_962_3 = all_769_0 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (34) with all_952_0, all_962_3, y$, x$, c$, % 79.47/11.87 | simplifying with (210), (228) gives: % 79.47/11.87 | (247) all_962_3 = all_952_0 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (24) with 0, all_920_2, c$, simplifying with (1), % 79.47/11.87 | (181) gives: % 79.47/11.87 | (248) all_920_2 = 0 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (24) with all_920_2, all_936_2, c$, simplifying % 79.47/11.87 | with (181), (186) gives: % 79.47/11.87 | (249) all_936_2 = all_920_2 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (24) with all_918_2, all_936_2, c$, simplifying % 79.47/11.87 | with (179), (186) gives: % 79.47/11.87 | (250) all_936_2 = all_918_2 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (24) with all_950_4, all_954_4, c$, simplifying % 79.47/11.87 | with (206), (214) gives: % 79.47/11.87 | (251) all_954_4 = all_950_4 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (24) with all_950_4, all_956_4, c$, simplifying % 79.47/11.87 | with (206), (218) gives: % 79.47/11.87 | (252) all_956_4 = all_950_4 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (24) with all_946_3, all_956_4, c$, simplifying % 79.47/11.87 | with (197), (218) gives: % 79.47/11.87 | (253) all_956_4 = all_946_3 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (24) with all_954_4, all_958_5, c$, simplifying % 79.47/11.87 | with (214), (221) gives: % 79.47/11.87 | (254) all_958_5 = all_954_4 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (24) with all_958_5, all_960_5, c$, simplifying % 79.47/11.87 | with (221), (224) gives: % 79.47/11.87 | (255) all_960_5 = all_958_5 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (24) with all_932_2, all_960_5, c$, simplifying % 79.47/11.87 | with (183), (224) gives: % 79.47/11.87 | (256) all_960_5 = all_932_2 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (24) with all_956_4, all_962_5, c$, simplifying % 79.47/11.87 | with (218), (229) gives: % 79.47/11.87 | (257) all_962_5 = all_956_4 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (24) with all_948_4, all_962_5, c$, simplifying % 79.47/11.87 | with (201), (229) gives: % 79.47/11.87 | (258) all_962_5 = all_948_4 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (24) with all_946_3, all_966_6, c$, simplifying % 79.47/11.87 | with (197), (236) gives: % 79.47/11.87 | (259) all_966_6 = all_946_3 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (24) with all_942_3, all_966_6, c$, simplifying % 79.47/11.87 | with (194), (236) gives: % 79.47/11.87 | (260) all_966_6 = all_942_3 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (24) with all_936_2, all_966_6, c$, simplifying % 79.47/11.87 | with (186), (236) gives: % 79.47/11.87 | (261) all_966_6 = all_936_2 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (25) with all_950_3, all_952_3, c$, simplifying % 79.47/11.87 | with (207), (211) gives: % 79.47/11.87 | (262) all_952_3 = all_950_3 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (25) with all_948_3, all_952_3, c$, simplifying % 79.47/11.87 | with (202), (211) gives: % 79.47/11.87 | (263) all_952_3 = all_948_3 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (25) with all_946_2, all_952_3, c$, simplifying % 79.47/11.87 | with (198), (211) gives: % 79.47/11.87 | (264) all_952_3 = all_946_2 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (25) with all_760_0, all_954_3, c$, simplifying % 79.47/11.87 | with (39), (215) gives: % 79.47/11.87 | (265) all_954_3 = all_760_0 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (25) with all_946_2, all_954_3, c$, simplifying % 79.47/11.87 | with (198), (215) gives: % 79.47/11.87 | (266) all_954_3 = all_946_2 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (25) with all_942_2, all_954_3, c$, simplifying % 79.47/11.87 | with (195), (215) gives: % 79.47/11.87 | (267) all_954_3 = all_942_2 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (25) with all_938_1, all_954_3, c$, simplifying % 79.47/11.87 | with (189), (215) gives: % 79.47/11.87 | (268) all_954_3 = all_938_1 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (25) with all_950_3, all_966_3, c$, simplifying % 79.47/11.87 | with (207), (237) gives: % 79.47/11.87 | (269) all_966_3 = all_950_3 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (25) with all_940_1, all_966_3, c$, simplifying % 79.47/11.87 | with (191), (237) gives: % 79.47/11.87 | (270) all_966_3 = all_940_1 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (35) with all_769_2, all_966_1, eta$, x$, c$, % 79.47/11.87 | simplifying with (47), (238) gives: % 79.47/11.87 | (271) all_966_1 = all_769_2 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (36) with all_838_0, all_954_1, all_769_2, % 79.47/11.87 | all_773_1, x$, c$, simplifying with (146), (216) gives: % 79.47/11.87 | (272) all_954_1 = all_838_0 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (36) with all_948_1, all_954_1, all_769_2, % 79.47/11.87 | all_773_1, x$, c$, simplifying with (203), (216) gives: % 79.47/11.87 | (273) all_954_1 = all_948_1 % 79.47/11.87 | % 79.47/11.87 | GROUND_INST: instantiating (27) with all_773_0, all_966_5, c$, simplifying % 79.47/11.87 | with (58), (240) gives: % 79.47/11.87 | (274) all_966_5 = all_773_0 % 79.47/11.87 | % 79.47/11.87 | COMBINE_EQS: (269), (270) imply: % 79.47/11.87 | (275) all_950_3 = all_940_1 % 79.47/11.87 | % 79.47/11.87 | SIMP: (275) implies: % 79.47/11.87 | (276) all_950_3 = all_940_1 % 79.47/11.87 | % 79.47/11.87 | COMBINE_EQS: (259), (260) imply: % 79.47/11.87 | (277) all_946_3 = all_942_3 % 79.47/11.87 | % 79.47/11.87 | SIMP: (277) implies: % 79.47/11.87 | (278) all_946_3 = all_942_3 % 79.47/11.87 | % 79.47/11.87 | COMBINE_EQS: (260), (261) imply: % 79.47/11.87 | (279) all_942_3 = all_936_2 % 79.47/11.87 | % 79.47/11.87 | COMBINE_EQS: (244), (245) imply: % 79.47/11.87 | (280) all_962_4 = all_958_4 % 79.47/11.87 | % 79.47/11.87 | SIMP: (280) implies: % 79.47/11.87 | (281) all_962_4 = all_958_4 % 79.47/11.87 | % 79.47/11.87 | COMBINE_EQS: (246), (247) imply: % 79.47/11.87 | (282) all_952_0 = all_769_0 % 79.47/11.87 | % 79.47/11.87 | COMBINE_EQS: (243), (281) imply: % 79.47/11.87 | (283) all_960_4 = all_958_4 % 79.47/11.87 | % 79.47/11.87 | SIMP: (283) implies: % 79.47/11.87 | (284) all_960_4 = all_958_4 % 79.47/11.87 | % 79.47/11.87 | COMBINE_EQS: (257), (258) imply: % 79.47/11.87 | (285) all_956_4 = all_948_4 % 79.47/11.87 | % 79.47/11.87 | SIMP: (285) implies: % 79.47/11.87 | (286) all_956_4 = all_948_4 % 79.47/11.87 | % 79.47/11.88 | COMBINE_EQS: (242), (284) imply: % 79.47/11.88 | (287) all_958_4 = all_769_1 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (255), (256) imply: % 79.47/11.88 | (288) all_958_5 = all_932_2 % 79.47/11.88 | % 79.47/11.88 | SIMP: (288) implies: % 79.47/11.88 | (289) all_958_5 = all_932_2 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (254), (289) imply: % 79.47/11.88 | (290) all_954_4 = all_932_2 % 79.47/11.88 | % 79.47/11.88 | SIMP: (290) implies: % 79.47/11.88 | (291) all_954_4 = all_932_2 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (253), (286) imply: % 79.47/11.88 | (292) all_948_4 = all_946_3 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (252), (286) imply: % 79.47/11.88 | (293) all_950_4 = all_948_4 % 79.47/11.88 | % 79.47/11.88 | SIMP: (293) implies: % 79.47/11.88 | (294) all_950_4 = all_948_4 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (272), (273) imply: % 79.47/11.88 | (295) all_948_1 = all_838_0 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (267), (268) imply: % 79.47/11.88 | (296) all_942_2 = all_938_1 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (266), (267) imply: % 79.47/11.88 | (297) all_946_2 = all_942_2 % 79.47/11.88 | % 79.47/11.88 | SIMP: (297) implies: % 79.47/11.88 | (298) all_946_2 = all_942_2 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (265), (267) imply: % 79.47/11.88 | (299) all_942_2 = all_760_0 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (251), (291) imply: % 79.47/11.88 | (300) all_950_4 = all_932_2 % 79.47/11.88 | % 79.47/11.88 | SIMP: (300) implies: % 79.47/11.88 | (301) all_950_4 = all_932_2 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (262), (263) imply: % 79.47/11.88 | (302) all_950_3 = all_948_3 % 79.47/11.88 | % 79.47/11.88 | SIMP: (302) implies: % 79.47/11.88 | (303) all_950_3 = all_948_3 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (263), (264) imply: % 79.47/11.88 | (304) all_948_3 = all_946_2 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (276), (303) imply: % 79.47/11.88 | (305) all_948_3 = all_940_1 % 79.47/11.88 | % 79.47/11.88 | SIMP: (305) implies: % 79.47/11.88 | (306) all_948_3 = all_940_1 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (294), (301) imply: % 79.47/11.88 | (307) all_948_4 = all_932_2 % 79.47/11.88 | % 79.47/11.88 | SIMP: (307) implies: % 79.47/11.88 | (308) all_948_4 = all_932_2 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (304), (306) imply: % 79.47/11.88 | (309) all_946_2 = all_940_1 % 79.47/11.88 | % 79.47/11.88 | SIMP: (309) implies: % 79.47/11.88 | (310) all_946_2 = all_940_1 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (292), (308) imply: % 79.47/11.88 | (311) all_946_3 = all_932_2 % 79.47/11.88 | % 79.47/11.88 | SIMP: (311) implies: % 79.47/11.88 | (312) all_946_3 = all_932_2 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (298), (310) imply: % 79.47/11.88 | (313) all_942_2 = all_940_1 % 79.47/11.88 | % 79.47/11.88 | SIMP: (313) implies: % 79.47/11.88 | (314) all_942_2 = all_940_1 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (278), (312) imply: % 79.47/11.88 | (315) all_942_3 = all_932_2 % 79.47/11.88 | % 79.47/11.88 | SIMP: (315) implies: % 79.47/11.88 | (316) all_942_3 = all_932_2 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (296), (314) imply: % 79.47/11.88 | (317) all_940_1 = all_938_1 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (299), (314) imply: % 79.47/11.88 | (318) all_940_1 = all_760_0 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (279), (316) imply: % 79.47/11.88 | (319) all_936_2 = all_932_2 % 79.47/11.88 | % 79.47/11.88 | SIMP: (319) implies: % 79.47/11.88 | (320) all_936_2 = all_932_2 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (317), (318) imply: % 79.47/11.88 | (321) all_938_1 = all_760_0 % 79.47/11.88 | % 79.47/11.88 | SIMP: (321) implies: % 79.47/11.88 | (322) all_938_1 = all_760_0 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (250), (320) imply: % 79.47/11.88 | (323) all_932_2 = all_918_2 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (249), (320) imply: % 79.47/11.88 | (324) all_932_2 = all_920_2 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (323), (324) imply: % 79.47/11.88 | (325) all_920_2 = all_918_2 % 79.47/11.88 | % 79.47/11.88 | SIMP: (325) implies: % 79.47/11.88 | (326) all_920_2 = all_918_2 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (248), (326) imply: % 79.47/11.88 | (327) all_918_2 = 0 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (323), (327) imply: % 79.47/11.88 | (328) all_932_2 = 0 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (316), (328) imply: % 79.47/11.88 | (329) all_942_3 = 0 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (308), (328) imply: % 79.47/11.88 | (330) all_948_4 = 0 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (306), (318) imply: % 79.47/11.88 | (331) all_948_3 = all_760_0 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (276), (318) imply: % 79.47/11.88 | (332) all_950_3 = all_760_0 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (263), (331) imply: % 79.47/11.88 | (333) all_952_3 = all_760_0 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (258), (330) imply: % 79.47/11.88 | (334) all_962_5 = 0 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (281), (287) imply: % 79.47/11.88 | (335) all_962_4 = all_769_1 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (260), (329) imply: % 79.47/11.88 | (336) all_966_6 = 0 % 79.47/11.88 | % 79.47/11.88 | COMBINE_EQS: (270), (318) imply: % 79.47/11.88 | (337) all_966_3 = all_760_0 % 79.47/11.88 | % 79.47/11.88 | REDUCE: (239), (271) imply: % 79.47/11.88 | (338) yMapInv$(c$, x$, all_773_1, all_769_2) = all_966_0 % 79.47/11.88 | % 79.47/11.88 | REDUCE: (235), (274) imply: % 79.47/11.88 | (339) functor_abbrev$(all_773_1, all_773_0, set$) = all_966_4 % 79.47/11.88 | % 79.47/11.88 | REDUCE: (234), (337) imply: % 79.47/11.88 | (340) member$i(x$, all_760_0) = all_966_2 % 79.47/11.88 | % 79.47/11.88 | REDUCE: (213), (265) imply: % 79.47/11.88 | (341) member$i(x$, all_760_0) = all_954_2 % 79.47/11.88 | % 79.47/11.88 | REDUCE: (209), (333) imply: % 79.47/11.88 | (342) member$i(x$, all_760_0) = all_952_2 % 79.47/11.88 | % 79.47/11.88 | REDUCE: (205), (332) imply: % 79.47/11.88 | (343) member$i(x$, all_760_0) = all_950_2 % 79.47/11.88 | % 79.47/11.88 | REDUCE: (200), (331) imply: % 79.47/11.88 | (344) member$i(x$, all_760_0) = all_948_2 % 79.47/11.88 | % 79.47/11.88 | REDUCE: (193), (299) imply: % 79.47/11.88 | (345) member$i(x$, all_760_0) = all_942_1 % 79.47/11.88 | % 79.47/11.88 | REDUCE: (188), (322) imply: % 79.47/11.88 | (346) member$i(x$, all_760_0) = all_938_0 % 79.47/11.88 | % 79.47/11.88 | REDUCE: (226), (246), (335) imply: % 79.47/11.88 | (347) fun_app$b(all_769_1, all_769_0) = all_962_2 % 79.47/11.88 | % 79.47/11.88 | BETA: splitting (184) gives: % 79.47/11.88 | % 79.47/11.88 | Case 1: % 79.47/11.88 | | % 79.47/11.88 | | (348) ~ (all_932_2 = 0) % 79.47/11.88 | | % 79.47/11.88 | | REDUCE: (328), (348) imply: % 79.47/11.88 | | (349) $false % 79.47/11.88 | | % 79.47/11.88 | | CLOSE: (349) is inconsistent. % 79.47/11.88 | | % 79.47/11.88 | Case 2: % 79.47/11.88 | | % 79.47/11.88 | | % 79.47/11.88 | | GROUND_INST: instantiating (28) with 0, all_962_2, all_769_0, all_769_1, % 79.47/11.88 | | simplifying with (44), (347) gives: % 79.47/11.88 | | (350) all_962_2 = 0 % 79.47/11.88 | | % 79.47/11.88 | | GROUND_INST: instantiating (30) with 0, all_942_1, all_760_0, x$, % 79.47/11.88 | | simplifying with (38), (345) gives: % 79.47/11.88 | | (351) all_942_1 = 0 % 79.47/11.88 | | % 79.47/11.88 | | GROUND_INST: instantiating (30) with all_942_1, all_948_2, all_760_0, x$, % 79.47/11.88 | | simplifying with (344), (345) gives: % 79.47/11.88 | | (352) all_948_2 = all_942_1 % 79.47/11.88 | | % 79.47/11.88 | | GROUND_INST: instantiating (30) with all_948_2, all_950_2, all_760_0, x$, % 79.47/11.88 | | simplifying with (343), (344) gives: % 79.47/11.88 | | (353) all_950_2 = all_948_2 % 79.47/11.88 | | % 79.47/11.88 | | GROUND_INST: instantiating (30) with all_950_2, all_952_2, all_760_0, x$, % 79.47/11.88 | | simplifying with (342), (343) gives: % 79.47/11.88 | | (354) all_952_2 = all_950_2 % 79.47/11.88 | | % 79.47/11.88 | | GROUND_INST: instantiating (30) with all_952_2, all_954_2, all_760_0, x$, % 79.47/11.88 | | simplifying with (341), (342) gives: % 79.47/11.88 | | (355) all_954_2 = all_952_2 % 79.47/11.88 | | % 79.47/11.88 | | GROUND_INST: instantiating (30) with all_954_2, all_966_2, all_760_0, x$, % 79.47/11.88 | | simplifying with (340), (341) gives: % 79.47/11.88 | | (356) all_966_2 = all_954_2 % 79.47/11.88 | | % 79.47/11.88 | | GROUND_INST: instantiating (30) with all_938_0, all_966_2, all_760_0, x$, % 79.47/11.88 | | simplifying with (340), (346) gives: % 79.47/11.88 | | (357) all_966_2 = all_938_0 % 79.47/11.88 | | % 79.47/11.88 | | GROUND_INST: instantiating (33) with 0, all_966_4, set$, all_773_0, % 79.47/11.88 | | all_773_1, simplifying with (56), (339) gives: % 79.47/11.88 | | (358) all_966_4 = 0 % 79.47/11.88 | | % 79.47/11.88 | | GROUND_INST: instantiating (36) with all_838_0, all_966_0, all_769_2, % 79.47/11.88 | | all_773_1, x$, c$, simplifying with (146), (338) gives: % 79.47/11.88 | | (359) all_966_0 = all_838_0 % 79.47/11.88 | | % 79.47/11.88 | | COMBINE_EQS: (356), (357) imply: % 79.47/11.88 | | (360) all_954_2 = all_938_0 % 79.47/11.88 | | % 79.47/11.88 | | SIMP: (360) implies: % 79.47/11.88 | | (361) all_954_2 = all_938_0 % 79.47/11.88 | | % 79.47/11.88 | | COMBINE_EQS: (355), (361) imply: % 79.47/11.88 | | (362) all_952_2 = all_938_0 % 79.47/11.88 | | % 79.47/11.88 | | SIMP: (362) implies: % 79.47/11.88 | | (363) all_952_2 = all_938_0 % 79.47/11.88 | | % 79.47/11.88 | | COMBINE_EQS: (354), (363) imply: % 79.47/11.88 | | (364) all_950_2 = all_938_0 % 79.47/11.88 | | % 79.47/11.88 | | SIMP: (364) implies: % 79.47/11.88 | | (365) all_950_2 = all_938_0 % 79.47/11.88 | | % 79.47/11.88 | | COMBINE_EQS: (353), (365) imply: % 79.47/11.88 | | (366) all_948_2 = all_938_0 % 79.47/11.88 | | % 79.47/11.88 | | SIMP: (366) implies: % 79.47/11.89 | | (367) all_948_2 = all_938_0 % 79.47/11.89 | | % 79.47/11.89 | | COMBINE_EQS: (352), (367) imply: % 79.47/11.89 | | (368) all_942_1 = all_938_0 % 79.47/11.89 | | % 79.47/11.89 | | SIMP: (368) implies: % 79.47/11.89 | | (369) all_942_1 = all_938_0 % 79.47/11.89 | | % 79.47/11.89 | | COMBINE_EQS: (351), (369) imply: % 79.47/11.89 | | (370) all_938_0 = 0 % 79.47/11.89 | | % 79.47/11.89 | | COMBINE_EQS: (357), (370) imply: % 79.47/11.89 | | (371) all_966_2 = 0 % 79.47/11.89 | | % 79.47/11.89 | | BETA: splitting (230) gives: % 79.47/11.89 | | % 79.47/11.89 | | Case 1: % 79.47/11.89 | | | % 79.47/11.89 | | | (372) ~ (all_962_2 = 0) % 79.47/11.89 | | | % 79.47/11.89 | | | REDUCE: (350), (372) imply: % 79.47/11.89 | | | (373) $false % 79.47/11.89 | | | % 79.47/11.89 | | | CLOSE: (373) is inconsistent. % 79.47/11.89 | | | % 79.47/11.89 | | Case 2: % 79.47/11.89 | | | % 79.47/11.89 | | | (374) ~ (all_962_5 = 0) | (all_962_0 = 0 & all_836_0 = all_769_2) % 79.47/11.89 | | | % 79.47/11.89 | | | BETA: splitting (374) gives: % 79.47/11.89 | | | % 79.47/11.89 | | | Case 1: % 79.47/11.89 | | | | % 79.47/11.89 | | | | (375) ~ (all_962_5 = 0) % 79.47/11.89 | | | | % 79.47/11.89 | | | | REDUCE: (334), (375) imply: % 79.47/11.89 | | | | (376) $false % 79.47/11.89 | | | | % 79.47/11.89 | | | | CLOSE: (376) is inconsistent. % 79.47/11.89 | | | | % 79.47/11.89 | | | Case 2: % 79.47/11.89 | | | | % 79.47/11.89 | | | | (377) all_962_0 = 0 & all_836_0 = all_769_2 % 79.47/11.89 | | | | % 79.47/11.89 | | | | ALPHA: (377) implies: % 79.47/11.89 | | | | (378) all_836_0 = all_769_2 % 79.47/11.89 | | | | % 79.47/11.89 | | | | REDUCE: (147), (378) imply: % 79.47/11.89 | | | | (379) yMapInv$(c$, x$, all_773_1, all_769_2) = all_836_3 % 79.47/11.89 | | | | % 79.47/11.89 | | | | BETA: splitting (241) gives: % 79.47/11.89 | | | | % 79.47/11.89 | | | | Case 1: % 79.47/11.89 | | | | | % 79.47/11.89 | | | | | (380) ~ (all_966_2 = 0) % 79.47/11.89 | | | | | % 79.47/11.89 | | | | | REDUCE: (371), (380) imply: % 79.47/11.89 | | | | | (381) $false % 79.47/11.89 | | | | | % 79.47/11.89 | | | | | CLOSE: (381) is inconsistent. % 79.47/11.89 | | | | | % 79.47/11.89 | | | | Case 2: % 79.47/11.89 | | | | | % 79.47/11.89 | | | | | (382) ~ (all_966_4 = 0) | ~ (all_966_6 = 0) | all_966_0 = eta$ % 79.47/11.89 | | | | | % 79.47/11.89 | | | | | BETA: splitting (382) gives: % 79.47/11.89 | | | | | % 79.47/11.89 | | | | | Case 1: % 79.47/11.89 | | | | | | % 79.47/11.89 | | | | | | (383) ~ (all_966_4 = 0) % 79.47/11.89 | | | | | | % 79.47/11.89 | | | | | | REDUCE: (358), (383) imply: % 79.47/11.89 | | | | | | (384) $false % 79.47/11.89 | | | | | | % 79.47/11.89 | | | | | | CLOSE: (384) is inconsistent. % 79.47/11.89 | | | | | | % 79.47/11.89 | | | | | Case 2: % 79.47/11.89 | | | | | | % 79.47/11.89 | | | | | | (385) ~ (all_966_6 = 0) | all_966_0 = eta$ % 79.47/11.89 | | | | | | % 79.47/11.89 | | | | | | BETA: splitting (385) gives: % 79.47/11.89 | | | | | | % 79.47/11.89 | | | | | | Case 1: % 79.47/11.89 | | | | | | | % 79.47/11.89 | | | | | | | (386) ~ (all_966_6 = 0) % 79.47/11.89 | | | | | | | % 79.47/11.89 | | | | | | | REDUCE: (336), (386) imply: % 79.47/11.89 | | | | | | | (387) $false % 79.47/11.89 | | | | | | | % 79.47/11.89 | | | | | | | CLOSE: (387) is inconsistent. % 79.47/11.89 | | | | | | | % 79.47/11.89 | | | | | | Case 2: % 79.47/11.89 | | | | | | | % 79.47/11.89 | | | | | | | (388) all_966_0 = eta$ % 79.47/11.89 | | | | | | | % 79.47/11.89 | | | | | | | COMBINE_EQS: (359), (388) imply: % 79.47/11.89 | | | | | | | (389) all_838_0 = eta$ % 79.47/11.89 | | | | | | | % 79.47/11.89 | | | | | | | REDUCE: (159), (389) imply: % 79.47/11.89 | | | | | | | (390) ~ (all_836_3 = eta$) % 79.47/11.89 | | | | | | | % 79.47/11.89 | | | | | | | SIMP: (390) implies: % 79.47/11.89 | | | | | | | (391) ~ (all_836_3 = eta$) % 79.47/11.89 | | | | | | | % 79.47/11.89 | | | | | | | REDUCE: (146), (389) imply: % 79.47/11.89 | | | | | | | (392) yMapInv$(c$, x$, all_773_1, all_769_2) = eta$ % 79.47/11.89 | | | | | | | % 79.47/11.89 | | | | | | | GROUND_INST: instantiating (36) with eta$, all_836_3, all_769_2, % 79.47/11.89 | | | | | | | all_773_1, x$, c$, simplifying with (379), (392) % 79.47/11.89 | | | | | | | gives: % 79.47/11.89 | | | | | | | (393) all_836_3 = eta$ % 79.47/11.89 | | | | | | | % 79.47/11.89 | | | | | | | REDUCE: (391), (393) imply: % 79.47/11.89 | | | | | | | (394) $false % 79.47/11.89 | | | | | | | % 79.47/11.89 | | | | | | | CLOSE: (394) is inconsistent. % 79.47/11.89 | | | | | | | % 79.47/11.89 | | | | | | End of split % 79.47/11.89 | | | | | | % 79.47/11.89 | | | | | End of split % 79.47/11.89 | | | | | % 79.47/11.89 | | | | End of split % 79.47/11.89 | | | | % 79.47/11.89 | | | End of split % 79.47/11.89 | | | % 79.47/11.89 | | End of split % 79.47/11.89 | | % 79.47/11.89 | End of split % 79.47/11.89 | % 79.47/11.89 End of proof % 79.47/11.89 % SZS output end Proof for theBenchmark % 79.47/11.89 % 79.47/11.89 11258ms %------------------------------------------------------------------------------