TSTP Solution File: ITP303_1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ITP303_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 : n005.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 04:11:39 EDT 2023
% Result : Theorem 49.76s 7.32s
% Output : Proof 71.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ITP303_1 : TPTP v8.1.2. Released v8.0.0.
% 0.13/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.35 % Computer : n005.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 10:03:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.62 ________ _____
% 0.20/0.62 ___ __ \_________(_)________________________________
% 0.20/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.62
% 0.20/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.62 (2023-06-19)
% 0.20/0.62
% 0.20/0.62 (c) Philipp Rümmer, 2009-2023
% 0.20/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.62 Amanda Stjerna.
% 0.20/0.62 Free software under BSD-3-Clause.
% 0.20/0.62
% 0.20/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.62
% 0.20/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.64 Running up to 7 provers in parallel.
% 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 16.98/3.06 Prover 0: Preprocessing ...
% 16.98/3.07 Prover 6: Preprocessing ...
% 16.98/3.07 Prover 2: Preprocessing ...
% 17.61/3.15 Prover 3: Preprocessing ...
% 17.61/3.21 Prover 5: Preprocessing ...
% 17.61/3.22 Prover 1: Preprocessing ...
% 17.61/3.23 Prover 4: Preprocessing ...
% 41.20/6.22 Prover 1: Warning: ignoring some quantifiers
% 41.61/6.27 Prover 3: Warning: ignoring some quantifiers
% 42.34/6.38 Prover 3: Constructing countermodel ...
% 42.63/6.44 Prover 6: Proving ...
% 42.63/6.50 Prover 1: Constructing countermodel ...
% 49.76/7.32 Prover 3: proved (6673ms)
% 49.76/7.32
% 49.76/7.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 49.76/7.32
% 49.76/7.33 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 49.76/7.33 Prover 6: stopped
% 49.76/7.38 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 57.04/8.28 Prover 7: Preprocessing ...
% 58.97/8.53 Prover 8: Preprocessing ...
% 62.32/8.96 Prover 1: Found proof (size 70)
% 62.32/8.96 Prover 1: proved (8318ms)
% 62.32/8.96 Prover 7: stopped
% 62.73/9.02 Prover 4: Warning: ignoring some quantifiers
% 65.09/9.32 Prover 4: Constructing countermodel ...
% 65.09/9.33 Prover 4: stopped
% 65.71/9.49 Prover 5: Proving ...
% 65.71/9.49 Prover 5: stopped
% 67.37/9.66 Prover 8: Warning: ignoring some quantifiers
% 68.50/9.86 Prover 8: Constructing countermodel ...
% 68.83/9.90 Prover 8: stopped
% 69.74/10.12 Prover 0: Proving ...
% 69.74/10.12 Prover 0: stopped
% 70.43/10.25 Prover 2: Proving ...
% 70.43/10.25 Prover 2: stopped
% 70.43/10.25
% 70.43/10.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 70.43/10.25
% 70.43/10.27 % SZS output start Proof for theBenchmark
% 70.75/10.30 Assumptions after simplification:
% 70.75/10.30 ---------------------------------
% 70.75/10.30
% 70.75/10.30 (axiom143)
% 70.75/10.33 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$(nTCod$)
% 70.75/10.33 &
% 70.75/10.33 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$(nTDom$)
% 70.75/10.33 & ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1:
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2:
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ( ~
% 70.75/10.33 (fun_app$r(nTDom$, v1) = v2) | ~ (fun_app$r(nTDom$, v0) = v2) | ~
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v1) | ~
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v0) | ? [v3:
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v4:
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v5:
% 70.75/10.33 A_b_b_c_LSCategory_ext_Category_ext$] : ? [v6: A_set$] : ? [v7:
% 70.75/10.33 A_ZF_fun$] : ? [v8: A_ZF_fun$] : ? [v9:
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v10:
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (obj$a(v5) = v6 &
% 70.75/10.33 makeNT$(v1) = v10 & makeNT$(v0) = v9 & fun_app$r(nTCod$, v1) = v4 &
% 70.75/10.33 fun_app$r(nTCod$, v0) = v3 & nTCatDom$(v0) = v5 & natTransMap$(v1) = v8 &
% 70.75/10.33 natTransMap$(v0) = v7 & A_ZF_fun$(v8) & A_ZF_fun$(v7) & A_set$(v6) &
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v10) &
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v9) &
% 70.75/10.33 A_b_b_c_LSCategory_ext_Category_ext$(v5) &
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v4) &
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v3) & ( ~ (v4 = v3) |
% 70.75/10.33 v10 = v9 | ? [v11: A$] : ? [v12: ZF$] : ? [v13: ZF$] : ( ~ (v13 =
% 70.75/10.33 v12) & fun_app$n(v8, v11) = v13 & fun_app$n(v7, v11) = v12 &
% 70.75/10.33 member$i(v11, v6) = 0 & ZF$(v13) & ZF$(v12) & A$(v11)))))
% 70.75/10.33
% 70.75/10.33 (axiom30)
% 70.75/10.33 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$(nTCod$)
% 70.75/10.33 & B$(f$) &
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$(functor$) &
% 70.75/10.33 A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0:
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v1:
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (yFtorNT$(c$, f$) =
% 70.75/10.33 v0 & fun_app$r(nTCod$, v0) = v1 & fun_app$a(functor$, v1) = 0 &
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v0) &
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1))
% 70.75/10.33
% 70.75/10.33 (axiom31)
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$(nTDom$)
% 70.75/10.33 & B$(f$) &
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$(functor$) &
% 70.75/10.33 A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0:
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v1:
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (yFtorNT$(c$, f$) =
% 70.75/10.33 v0 & fun_app$r(nTDom$, v0) = v1 & fun_app$a(functor$, v1) = 0 &
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v0) &
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1))
% 70.75/10.33
% 70.75/10.33 (axiom32)
% 70.75/10.33 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$(nTCod$)
% 70.75/10.33 & ZF_ZF_unit_Category_ext$(set$) & B$(f$) &
% 70.75/10.33 A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$(oppositeCategory$)
% 70.75/10.33 & A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0:
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v1:
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v2:
% 70.75/10.33 A_b_b_c_LSCategory_ext_Category_ext$] : (fun_app$s(oppositeCategory$, c$) =
% 70.75/10.33 v2 & yFtorNT$(c$, f$) = v0 & fun_app$r(nTCod$, v0) = v1 &
% 70.75/10.33 functor_abbrev$(v1, v2, set$) = 0 &
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v0) &
% 70.75/10.33 A_b_b_c_LSCategory_ext_Category_ext$(v2) &
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1))
% 70.75/10.33
% 70.75/10.33 (axiom36)
% 70.75/10.33 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$(nTDom$)
% 70.75/10.33 & ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1:
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ( ~
% 70.75/10.33 (fun_app$r(nTDom$, v0) = v1) | ~
% 70.75/10.33 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v0) | ? [v2:
% 70.75/10.34 A_b_b_c_LSCategory_ext_Category_ext$] : (nTCatDom$(v0) = v2 & catDom$(v1)
% 70.75/10.34 = v2 & A_b_b_c_LSCategory_ext_Category_ext$(v2)))
% 70.75/10.34
% 70.75/10.34 (axiom37)
% 70.75/10.34 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$(nTDom$)
% 70.75/10.34 & ZF_ZF_unit_Category_ext$(set$) & B$(f$) &
% 70.75/10.34 A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$(oppositeCategory$)
% 70.75/10.34 & A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0:
% 70.75/10.34 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v1:
% 70.75/10.34 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v2:
% 70.75/10.34 A_b_b_c_LSCategory_ext_Category_ext$] : (fun_app$s(oppositeCategory$, c$) =
% 70.75/10.34 v2 & yFtorNT$(c$, f$) = v0 & fun_app$r(nTDom$, v0) = v1 &
% 70.75/10.34 functor_abbrev$(v1, v2, set$) = 0 &
% 70.75/10.34 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v0) &
% 70.75/10.34 A_b_b_c_LSCategory_ext_Category_ext$(v2) &
% 70.75/10.34 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1))
% 70.75/10.34
% 70.75/10.34 (axiom553)
% 70.75/10.34 ZF_bool_fun$(isZFfun$) & ZF_ZF_unit_Category_ext$(set$) &
% 70.75/10.34 ZF_ZF_fun$(zFfunDom$) & ZF_ZF_fun$(zFfunCod$) & ! [v0: ZF$] : ! [v1: ZF$] :
% 70.75/10.34 ! [v2: ZF_bool_fun$] : ( ~ (compDefined$(set$, v0) = v2) | ~ (fun_app$d(v2,
% 70.75/10.34 v1) = 0) | ~ ZF$(v1) | ~ ZF$(v0) | ? [v3: ZF$] : (fun_app$d(isZFfun$,
% 70.75/10.34 v1) = 0 & fun_app$d(isZFfun$, v0) = 0 & fun_app$(zFfunDom$, v1) = v3 &
% 70.75/10.34 fun_app$(zFfunCod$, v0) = v3 & ZF$(v3)))
% 70.75/10.34
% 70.75/10.34 (axiom75)
% 70.75/10.34 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$(functor$) & !
% 70.75/10.34 [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 70.75/10.34 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: ZF_ZF_unit_Category_ext$] :
% 70.75/10.34 ! [v3: int] : (v3 = 0 | ~ (functor_abbrev$(v0, v1, v2) = v3) | ~
% 70.75/10.34 ZF_ZF_unit_Category_ext$(v2) | ~ A_b_b_c_LSCategory_ext_Category_ext$(v1) |
% 70.75/10.34 ~ A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0) | ? [v4: any] :
% 70.75/10.34 ? [v5: A_b_b_c_LSCategory_ext_Category_ext$] : ? [v6:
% 70.75/10.34 ZF_ZF_unit_Category_ext$] : (catCod$(v0) = v6 & catDom$(v0) = v5 &
% 70.75/10.34 fun_app$a(functor$, v0) = v4 & ZF_ZF_unit_Category_ext$(v6) &
% 70.75/10.34 A_b_b_c_LSCategory_ext_Category_ext$(v5) & ( ~ (v6 = v2) | ~ (v5 = v1) |
% 70.75/10.34 ~ (v4 = 0)))) & ! [v0:
% 70.75/10.34 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 70.75/10.34 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: ZF_ZF_unit_Category_ext$] :
% 70.75/10.34 ( ~ (functor_abbrev$(v0, v1, v2) = 0) | ~ ZF_ZF_unit_Category_ext$(v2) | ~
% 70.75/10.34 A_b_b_c_LSCategory_ext_Category_ext$(v1) | ~
% 70.75/10.34 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0) | (catCod$(v0) = v2
% 70.75/10.34 & catDom$(v0) = v1 & fun_app$a(functor$, v0) = 0))
% 70.75/10.34
% 70.75/10.34 (conjecture27)
% 70.75/10.34 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$(nTCod$)
% 70.75/10.34 & B$(f$) & A_b_b_c_LSCategory_ext_Category_ext$(c$) & ? [v0:
% 70.75/10.34 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v1:
% 70.75/10.34 A_b_b_c_LSCategory_ext_Category_ext$] : ? [v2:
% 70.75/10.34 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v3:
% 70.75/10.34 A_b_b_c_LSCategory_ext_Category_ext$] : ( ~ (v3 = v1) & yFtorNT$(c$, f$) =
% 70.75/10.34 v0 & fun_app$r(nTCod$, v0) = v2 & nTCatDom$(v0) = v1 & catDom$(v2) = v3 &
% 70.75/10.34 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v0) &
% 70.75/10.34 A_b_b_c_LSCategory_ext_Category_ext$(v3) &
% 70.75/10.34 A_b_b_c_LSCategory_ext_Category_ext$(v1) &
% 70.75/10.34 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v2))
% 70.75/10.34
% 70.75/10.35 (function-axioms)
% 71.21/10.40 ! [v0:
% 71.21/10.40 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$]
% 71.21/10.40 : ! [v1:
% 71.21/10.40 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.21/10.40 : ! [v2: Unit$] : ! [v3:
% 71.21/10.40 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$]
% 71.21/10.40 : ! [v4:
% 71.21/10.40 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$]
% 71.21/10.40 : ! [v5:
% 71.21/10.40 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$]
% 71.21/10.40 : ! [v6:
% 71.21/10.40 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$]
% 71.21/10.40 : ! [v7: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$] : ! [v8:
% 71.21/10.40 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$] : (v1 = v0 | ~
% 71.21/10.40 (category_ext$b(v8, v7, v6, v5, v4, v3, v2) = v1) | ~ (category_ext$b(v8,
% 71.21/10.40 v7, v6, v5, v4, v3, v2) = v0)) & ! [v0: ZF_ZF_unit_Category_ext$] : !
% 71.21/10.40 [v1: ZF_ZF_unit_Category_ext$] : ! [v2: Unit$] : ! [v3: ZF_ZF_ZF_fun_fun$] :
% 71.21/10.40 ! [v4: ZF_ZF_fun$] : ! [v5: ZF_ZF_fun$] : ! [v6: ZF_ZF_fun$] : ! [v7:
% 71.21/10.40 ZF_set$] : ! [v8: ZF_set$] : (v1 = v0 | ~ (category_ext$a(v8, v7, v6, v5,
% 71.21/10.40 v4, v3, v2) = v1) | ~ (category_ext$a(v8, v7, v6, v5, v4, v3, v2) =
% 71.21/10.40 v0)) & ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 71.21/10.40 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2: B_c_LSCategory_ext$] : !
% 71.21/10.40 [v3: B_b_b_fun_fun$] : ! [v4: A_b_fun$] : ! [v5: B_a_fun$] : ! [v6:
% 71.21/10.40 B_a_fun$] : ! [v7: B_set$] : ! [v8: A_set$] : (v1 = v0 | ~
% 71.21/10.40 (category_ext$(v8, v7, v6, v5, v4, v3, v2) = v1) | ~ (category_ext$(v8, v7,
% 71.21/10.40 v6, v5, v4, v3, v2) = v0)) & ! [v0:
% 71.21/10.40 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$]
% 71.21/10.40 : ! [v1:
% 71.21/10.40 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$]
% 71.21/10.40 : ! [v2: Unit$] : ! [v3:
% 71.21/10.40 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ! [v4:
% 71.21/10.40 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.21/10.40 : ! [v5: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~
% 71.21/10.40 (functor_ext$a(v5, v4, v3, v2) = v1) | ~ (functor_ext$a(v5, v4, v3, v2) =
% 71.21/10.40 v0)) & ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : !
% 71.21/10.40 [v1: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: Unit$] :
% 71.21/10.40 ! [v3: B_ZF_fun$] : ! [v4: ZF_ZF_unit_Category_ext$] : ! [v5:
% 71.21/10.40 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (functor_ext$(v5, v4,
% 71.21/10.40 v3, v2) = v1) | ~ (functor_ext$(v5, v4, v3, v2) = v0)) & ! [v0:
% 71.21/10.40 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: Unit$] : ! [v3:
% 71.21/10.40 Unit$] : ! [v4: Unit$] : ! [v5: Unit_unit_unit_Category_ext$] : (v1 = v0 |
% 71.21/10.40 ~ (mapsTo$c(v5, v4, v3, v2) = v1) | ~ (mapsTo$c(v5, v4, v3, v2) = v0)) &
% 71.21/10.40 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.21/10.40 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v3:
% 71.21/10.40 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v4:
% 71.21/10.40 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v5:
% 71.21/10.40 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.21/10.40 : (v1 = v0 | ~ (mapsTo$b(v5, v4, v3, v2) = v1) | ~ (mapsTo$b(v5, v4, v3, v2)
% 71.21/10.40 = v0)) & ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] :
% 71.21/10.40 ! [v1: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2: Unit$]
% 71.21/10.40 : ! [v3: A_ZF_fun$] : ! [v4:
% 71.21/10.40 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v5:
% 71.21/10.40 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.21/10.40 (natTrans_ext$a(v5, v4, v3, v2) = v1) | ~ (natTrans_ext$a(v5, v4, v3, v2) =
% 71.21/10.40 v0)) & ! [v0: ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v1:
% 71.21/10.40 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v2: Unit$] : ! [v3:
% 71.21/10.40 ZF_ZF_fun$] : ! [v4: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v5:
% 71.21/10.40 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (natTrans_ext$(v5,
% 71.21/10.40 v4, v3, v2) = v1) | ~ (natTrans_ext$(v5, v4, v3, v2) = v0)) & ! [v0:
% 71.21/10.40 ZF_set$] : ! [v1: ZF_set$] : ! [v2: A$] : ! [v3: A$] : ! [v4:
% 71.21/10.40 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (hOMCollection$(v4,
% 71.21/10.40 v3, v2) = v1) | ~ (hOMCollection$(v4, v3, v2) = v0)) & ! [v0:
% 71.21/10.40 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1:
% 71.21/10.40 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2: ZF$] : ! [v3:
% 71.21/10.40 ZF_ZF_unit_Category_ext$] : ! [v4: ZF_ZF_unit_Category_ext$] : (v1 = v0 |
% 71.21/10.40 ~ (constFunctor$b(v4, v3, v2) = v1) | ~ (constFunctor$b(v4, v3, v2) = v0))
% 71.21/10.40 & ! [v0: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1:
% 71.21/10.40 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2: ZF$] : ! [v3:
% 71.21/10.40 ZF_ZF_unit_Category_ext$] : ! [v4: ZF_ZF_unit_Category_ext$] : (v1 = v0 |
% 71.21/10.40 ~ (constFunctor$a(v4, v3, v2) = v1) | ~ (constFunctor$a(v4, v3, v2) = v0))
% 71.21/10.40 & ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 71.21/10.40 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: ZF$] : !
% 71.21/10.40 [v3: ZF_ZF_unit_Category_ext$] : ! [v4: A_b_b_c_LSCategory_ext_Category_ext$]
% 71.21/10.40 : (v1 = v0 | ~ (constFunctor$(v4, v3, v2) = v1) | ~ (constFunctor$(v4, v3,
% 71.21/10.40 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 71.21/10.40 ! [v2: A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : !
% 71.21/10.40 [v3: A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : !
% 71.21/10.40 [v4: A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 =
% 71.21/10.40 v0 | ~ (nt_abbrev$c(v4, v3, v2) = v1) | ~ (nt_abbrev$c(v4, v3, v2) = v0))
% 71.21/10.40 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.21/10.40 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v3:
% 71.21/10.40 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v4:
% 71.21/10.40 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.21/10.40 (nt_abbrev$b(v4, v3, v2) = v1) | ~ (nt_abbrev$b(v4, v3, v2) = v0)) & !
% 71.21/10.40 [v0: ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: ZF$] : ! [v3: ZF$] : !
% 71.21/10.40 [v4: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (mapsTo$a(v4, v3, v2) = v1) |
% 71.21/10.40 ~ (mapsTo$a(v4, v3, v2) = v0)) & ! [v0: A_bool_fun$] : ! [v1: A_bool_fun$]
% 71.21/10.40 : ! [v2: A$] : ! [v3: B$] : ! [v4: A_b_b_c_LSCategory_ext_Category_ext$] :
% 71.21/10.40 (v1 = v0 | ~ (mapsTo$(v4, v3, v2) = v1) | ~ (mapsTo$(v4, v3, v2) = v0)) & !
% 71.21/10.40 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: Unit$] : !
% 71.21/10.40 [v3: Unit$] : ! [v4: Unit_unit_unit_Category_ext$] : (v1 = v0 | ~
% 71.21/10.40 (compDefined$c(v4, v3, v2) = v1) | ~ (compDefined$c(v4, v3, v2) = v0)) & !
% 71.21/10.40 [v0: ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v1:
% 71.21/10.40 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v2:
% 71.21/10.40 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v3:
% 71.21/10.40 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v4:
% 71.21/10.40 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.21/10.40 : (v1 = v0 | ~ (comp$b(v4, v3, v2) = v1) | ~ (comp$b(v4, v3, v2) = v0)) & !
% 71.21/10.40 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.21/10.40 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v3:
% 71.21/10.40 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v4:
% 71.21/10.40 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.21/10.40 : (v1 = v0 | ~ (compDefined$b(v4, v3, v2) = v1) | ~ (compDefined$b(v4, v3,
% 71.21/10.40 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 71.21/10.40 ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v3:
% 71.21/10.40 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v4:
% 71.21/10.40 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ (nt_abbrev$(v4,
% 71.21/10.40 v3, v2) = v1) | ~ (nt_abbrev$(v4, v3, v2) = v0)) & ! [v0:
% 71.21/10.40 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.21/10.40 ZF_ZF_unit_Category_ext$] : ! [v3: ZF_ZF_unit_Category_ext$] : ! [v4:
% 71.21/10.40 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.21/10.40 (functor_abbrev$b(v4, v3, v2) = v1) | ~ (functor_abbrev$b(v4, v3, v2) =
% 71.21/10.40 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.21/10.40 Unit_unit_unit_Category_ext$] : ! [v3: ZF_ZF_unit_Category_ext$] : ! [v4:
% 71.21/10.40 ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.21/10.40 (functor_abbrev$a(v4, v3, v2) = v1) | ~ (functor_abbrev$a(v4, v3, v2) =
% 71.21/10.40 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.21/10.40 ZF_ZF_unit_Category_ext$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] :
% 71.21/10.40 ! [v4: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.21/10.40 (functor_abbrev$(v4, v3, v2) = v1) | ~ (functor_abbrev$(v4, v3, v2) = v0))
% 71.21/10.40 & ! [v0: B$] : ! [v1: B$] : ! [v2: B_b_prod$] : ! [v3: B_b_prod_set$] : !
% 71.21/10.41 [v4: B_b_prod_b_fun$] : (v1 = v0 | ~ (restrict$a(v4, v3, v2) = v1) | ~
% 71.21/10.41 (restrict$a(v4, v3, v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : ! [v2:
% 71.21/10.41 ZF_ZF_prod$] : ! [v3: ZF_ZF_prod_set$] : ! [v4: ZF_ZF_prod_ZF_fun$] : (v1
% 71.21/10.41 = v0 | ~ (restrict$(v4, v3, v2) = v1) | ~ (restrict$(v4, v3, v2) = v0)) &
% 71.21/10.41 ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: ZF_ZF_fun$] : ! [v3: ZF$] : ! [v4: ZF$]
% 71.21/10.41 : (v1 = v0 | ~ (zFfun$(v4, v3, v2) = v1) | ~ (zFfun$(v4, v3, v2) = v0)) & !
% 71.21/10.41 [v0: ZF_set_set$] : ! [v1: ZF_set_set$] : ! [v2: ZF_set$] : ! [v3:
% 71.21/10.41 ZF_ZF_set_fun$] : (v1 = v0 | ~ (image$(v3, v2) = v1) | ~ (image$(v3, v2) =
% 71.21/10.41 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.21/10.41 ZF_set_set$] : ! [v3: ZF_set$] : (v1 = v0 | ~ (member$o(v3, v2) = v1) | ~
% 71.21/10.41 (member$o(v3, v2) = v0)) & ! [v0: ZF_ZF_ZF_fun_fun$] : ! [v1:
% 71.21/10.41 ZF_ZF_ZF_fun_fun$] : ! [v2: ZF_ZF_ZF_fun_fun$] : ! [v3:
% 71.21/10.41 ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$] : (v1 = v0 | ~ (fun_app$af(v3, v2)
% 71.21/10.41 = v1) | ~ (fun_app$af(v3, v2) = v0)) & ! [v0: B_set$] : ! [v1: B_set$]
% 71.21/10.41 : ! [v2: B_set$] : ! [v3: B_set_b_set_fun$] : (v1 = v0 | ~ (fun_app$ae(v3,
% 71.21/10.41 v2) = v1) | ~ (fun_app$ae(v3, v2) = v0)) & ! [v0: ZF_set$] : ! [v1:
% 71.21/10.41 ZF_set$] : ! [v2: ZF_set$] : ! [v3: ZF_set_ZF_set_fun$] : (v1 = v0 | ~
% 71.21/10.41 (fun_app$ad(v3, v2) = v1) | ~ (fun_app$ad(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$]
% 71.21/10.41 : (v1 = v0 | ~ (nTDom_update$(v3, v2) = v1) | ~ (nTDom_update$(v3, v2) =
% 71.21/10.41 v0)) & ! [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2: ZF_ZF_fun$] :
% 71.21/10.41 ! [v3: ZF_ZF_fun_ZF_ZF_fun_fun$] : (v1 = v0 | ~ (fun_app$ac(v3, v2) = v1) |
% 71.21/10.41 ~ (fun_app$ac(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.21/10.41 MultipleValueBool] : ! [v2: B_b_prod_b_fun_set$] : ! [v3: B_b_prod_b_fun$]
% 71.21/10.41 : (v1 = v0 | ~ (member$n(v3, v2) = v1) | ~ (member$n(v3, v2) = v0)) & !
% 71.21/10.41 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.21/10.41 ZF_ZF_prod_ZF_fun_set$] : ! [v3: ZF_ZF_prod_ZF_fun$] : (v1 = v0 | ~
% 71.21/10.41 (member$m(v3, v2) = v1) | ~ (member$m(v3, v2) = v0)) & ! [v0: ZF_ZF_fun$]
% 71.21/10.41 : ! [v1: ZF_ZF_fun$] : ! [v2: ZF_set$] : ! [v3: ZF_ZF_fun$] : (v1 = v0 | ~
% 71.21/10.41 (restrict$f(v3, v2) = v1) | ~ (restrict$f(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 B_a_fun$] : ! [v1: B_a_fun$] : ! [v2: B_set$] : ! [v3: B_a_fun$] : (v1 =
% 71.21/10.41 v0 | ~ (restrict$d(v3, v2) = v1) | ~ (restrict$d(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 A_b_fun$] : ! [v1: A_b_fun$] : ! [v2: A_set$] : ! [v3: A_b_fun$] : (v1 =
% 71.21/10.41 v0 | ~ (restrict$e(v3, v2) = v1) | ~ (restrict$e(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.21/10.41 : ! [v1:
% 71.21/10.41 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$]
% 71.21/10.41 : ! [v2: ZF_ZF_unit_Category_ext$] : ! [v3:
% 71.21/10.41 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (catExp$c(v3, v2) =
% 71.21/10.41 v1) | ~ (catExp$c(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.21/10.41 : ! [v1:
% 71.21/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.21/10.41 : ! [v2: ZF_ZF_unit_Category_ext$] : ! [v3: ZF_ZF_unit_Category_ext$] : (v1
% 71.21/10.41 = v0 | ~ (catExp$b(v3, v2) = v1) | ~ (catExp$b(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3:
% 71.21/10.41 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$]
% 71.21/10.41 : (v1 = v0 | ~ (dom$b(v3, v2) = v1) | ~ (dom$b(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.21/10.41 : ! [v1:
% 71.21/10.41 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$]
% 71.21/10.41 : ! [v2: ZF_ZF_unit_Category_ext$] : ! [v3:
% 71.21/10.41 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (catExp$a(v3, v2) =
% 71.21/10.41 v1) | ~ (catExp$a(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.21/10.41 MultipleValueBool] : ! [v2:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$] : ! [v3:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.21/10.41 (member$l(v3, v2) = v1) | ~ (member$l(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3:
% 71.21/10.41 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$]
% 71.21/10.41 : (v1 = v0 | ~ (cod$b(v3, v2) = v1) | ~ (cod$b(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.21/10.41 : ! [v1:
% 71.21/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.21/10.41 : ! [v2: ZF_ZF_unit_Category_ext$] : ! [v3: ZF_ZF_unit_Category_ext$] : (v1
% 71.21/10.41 = v0 | ~ (catExp$(v3, v2) = v1) | ~ (catExp$(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 A_ZF_fun$] : ! [v1: A_ZF_fun$] : ! [v2: A_set$] : ! [v3: A_ZF_fun$] : (v1
% 71.21/10.41 = v0 | ~ (restrict$c(v3, v2) = v1) | ~ (restrict$c(v3, v2) = v0)) & !
% 71.21/10.41 [v0: B$] : ! [v1: B$] : ! [v2: B$] : ! [v3:
% 71.21/10.41 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (inverse$a(v3, v2) =
% 71.21/10.41 v1) | ~ (inverse$a(v3, v2) = v0)) & ! [v0: B_ZF_fun$] : ! [v1:
% 71.21/10.41 B_ZF_fun$] : ! [v2: B_set$] : ! [v3: B_ZF_fun$] : (v1 = v0 | ~
% 71.21/10.41 (restrict$b(v3, v2) = v1) | ~ (restrict$b(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 B_bool_fun$] : ! [v1: B_bool_fun$] : ! [v2: B$] : ! [v3:
% 71.21/10.41 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (inverse_rel$a(v3, v2)
% 71.21/10.41 = v1) | ~ (inverse_rel$a(v3, v2) = v0)) & ! [v0: B_c_LSCategory_ext$] :
% 71.21/10.41 ! [v1: B_c_LSCategory_ext$] : ! [v2: C$] : ! [v3: B_ZF_fun$] : (v1 = v0 | ~
% 71.21/10.41 (lSCategory_ext$(v3, v2) = v1) | ~ (lSCategory_ext$(v3, v2) = v0)) & !
% 71.21/10.41 [v0: ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: ZF$] : ! [v3:
% 71.21/10.41 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (inverse_rel$(v3, v2) = v1) | ~
% 71.21/10.41 (inverse_rel$(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] : ! [v3:
% 71.21/10.41 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (homFtorContra$a(v3,
% 71.21/10.41 v2) = v1) | ~ (homFtorContra$a(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] : ! [v3:
% 71.21/10.41 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (homFtor$a(v3, v2) =
% 71.21/10.41 v1) | ~ (homFtor$a(v3, v2) = v0)) & ! [v0: A_ZF_fun$] : ! [v1:
% 71.21/10.41 A_ZF_fun$] : ! [v2: A$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] :
% 71.21/10.41 (v1 = v0 | ~ (homSet$(v3, v2) = v1) | ~ (homSet$(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2:
% 71.21/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v3:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.21/10.41 (functorComp$a(v3, v2) = v1) | ~ (functorComp$a(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 A$] : ! [v1: A$] : ! [v2: B$] : ! [v3: B_a_fun$] : (v1 = v0 | ~
% 71.21/10.41 (fun_app$ab(v3, v2) = v1) | ~ (fun_app$ab(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: ZF$] : ! [v3:
% 71.21/10.41 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (objIso$(v3, v2) = v1) | ~
% 71.21/10.41 (objIso$(v3, v2) = v0)) & ! [v0: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] :
% 71.21/10.41 ! [v1: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2: A$] : ! [v3:
% 71.21/10.41 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$]
% 71.21/10.41 : (v1 = v0 | ~ (mapO$f(v3, v2) = v1) | ~ (mapO$f(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1:
% 71.21/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2: ZF$] : ! [v3:
% 71.21/10.41 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$]
% 71.21/10.41 : (v1 = v0 | ~ (mapO$e(v3, v2) = v1) | ~ (mapO$e(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 Unit_unit_fun$] : ! [v1: Unit_unit_fun$] : ! [v2: Unit$] : ! [v3:
% 71.21/10.41 Unit_unit_unit_Category_ext$] : (v1 = v0 | ~ (comp$c(v3, v2) = v1) | ~
% 71.21/10.41 (comp$c(v3, v2) = v0)) & ! [v0: Unit$] : ! [v1: Unit$] : ! [v2: ZF$] : !
% 71.21/10.41 [v3: ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.21/10.41 (natTransMap$f(v3, v2) = v1) | ~ (natTransMap$f(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 Unit$] : ! [v1: Unit$] : ! [v2: ZF$] : ! [v3:
% 71.21/10.41 ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (mapO$d(v3, v2)
% 71.21/10.41 = v1) | ~ (mapO$d(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v1:
% 71.21/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v2: B$] : ! [v3:
% 71.21/10.41 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$]
% 71.21/10.41 : (v1 = v0 | ~ (mapM$f(v3, v2) = v1) | ~ (mapM$f(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v1:
% 71.21/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v2: ZF$] : ! [v3:
% 71.21/10.41 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$]
% 71.21/10.41 : (v1 = v0 | ~ (mapM$e(v3, v2) = v1) | ~ (mapM$e(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 B$] : ! [v1: B$] : ! [v2: B$] : ! [v3:
% 71.21/10.41 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0
% 71.21/10.41 | ~ (mapM$d(v3, v2) = v1) | ~ (mapM$d(v3, v2) = v0)) & ! [v0: B$] : !
% 71.21/10.41 [v1: B$] : ! [v2: ZF$] : ! [v3:
% 71.21/10.41 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~
% 71.21/10.41 (mapM$c(v3, v2) = v1) | ~ (mapM$c(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3:
% 71.21/10.41 Unit_unit_fun$] : (v1 = v0 | ~ (more_update$(v3, v2) = v1) | ~
% 71.21/10.41 (more_update$(v3, v2) = v0)) & ! [v0: Unit$] : ! [v1: Unit$] : ! [v2:
% 71.21/10.41 Unit$] : ! [v3: Unit_unit_fun$] : (v1 = v0 | ~ (fun_app$aa(v3, v2) = v1) |
% 71.21/10.41 ~ (fun_app$aa(v3, v2) = v0)) & ! [v0: A$] : ! [v1: A$] : ! [v2: A$] : !
% 71.21/10.41 [v3: A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 =
% 71.21/10.41 v0 | ~ (mapO$a(v3, v2) = v1) | ~ (mapO$a(v3, v2) = v0)) & ! [v0: A$] : !
% 71.21/10.41 [v1: A$] : ! [v2: ZF$] : ! [v3:
% 71.21/10.41 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~
% 71.21/10.41 (mapO$(v3, v2) = v1) | ~ (mapO$(v3, v2) = v0)) & ! [v0: MultipleValueBool]
% 71.21/10.41 : ! [v1: MultipleValueBool] : ! [v2: Unit_set$] : ! [v3: Unit$] : (v1 = v0
% 71.21/10.41 | ~ (member$k(v3, v2) = v1) | ~ (member$k(v3, v2) = v0)) & ! [v0: Unit$]
% 71.21/10.41 : ! [v1: Unit$] : ! [v2: ZF$] : ! [v3:
% 71.21/10.41 ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (mapM$a(v3, v2)
% 71.21/10.41 = v1) | ~ (mapM$a(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$]
% 71.21/10.41 : ! [v1:
% 71.21/10.41 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$]
% 71.21/10.41 : ! [v2:
% 71.21/10.41 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$]
% 71.21/10.41 : ! [v3:
% 71.21/10.41 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$]
% 71.21/10.41 : (v1 = v0 | ~ (natTransComp$g(v3, v2) = v1) | ~ (natTransComp$g(v3, v2) =
% 71.21/10.41 v0)) & ! [v0:
% 71.21/10.41 ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$]
% 71.21/10.41 : ! [v1:
% 71.21/10.41 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$]
% 71.21/10.41 : ! [v2:
% 71.21/10.41 ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$]
% 71.21/10.41 : ! [v3:
% 71.21/10.41 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$]
% 71.21/10.41 : (v1 = v0 | ~ (natTransComp$f(v3, v2) = v1) | ~ (natTransComp$f(v3, v2) =
% 71.21/10.41 v0)) & ! [v0:
% 71.21/10.41 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : ! [v1:
% 71.21/10.41 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : ! [v2:
% 71.21/10.41 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : ! [v3:
% 71.21/10.41 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0
% 71.21/10.41 | ~ (natTransComp$e(v3, v2) = v1) | ~ (natTransComp$e(v3, v2) = v0)) & !
% 71.21/10.41 [v0: ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : ! [v1:
% 71.21/10.41 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : ! [v2:
% 71.21/10.41 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : ! [v3:
% 71.21/10.41 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.21/10.41 (natTransComp$d(v3, v2) = v1) | ~ (natTransComp$d(v3, v2) = v0)) & ! [v0:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$]
% 71.21/10.41 : ! [v1:
% 71.21/10.41 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$]
% 71.21/10.41 : ! [v2: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3:
% 71.21/10.41 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$]
% 71.21/10.41 : (v1 = v0 | ~ (fun_app$z(v3, v2) = v1) | ~ (fun_app$z(v3, v2) = v0)) & !
% 71.21/10.41 [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2:
% 71.21/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3:
% 71.21/10.41 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$]
% 71.37/10.41 : (v1 = v0 | ~ (fun_app$y(v3, v2) = v1) | ~ (fun_app$y(v3, v2) = v0)) & !
% 71.37/10.41 [v0: ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v1:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v2:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v3:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.41 (natTransComp$b(v3, v2) = v1) | ~ (natTransComp$b(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v3:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.37/10.41 (functorComp$(v3, v2) = v1) | ~ (functorComp$(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v1:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v2: A$] : ! [v3:
% 71.37/10.41 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$]
% 71.37/10.41 : (v1 = v0 | ~ (natTransMap$e(v3, v2) = v1) | ~ (natTransMap$e(v3, v2) =
% 71.37/10.41 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.41 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$]
% 71.37/10.41 : ! [v3:
% 71.37/10.41 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$]
% 71.37/10.41 : (v1 = v0 | ~ (nTCompDefined$e(v3, v2) = v1) | ~ (nTCompDefined$e(v3, v2) =
% 71.37/10.41 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.41 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : ! [v3:
% 71.37/10.41 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0
% 71.37/10.41 | ~ (nTCompDefined$d(v3, v2) = v1) | ~ (nTCompDefined$d(v3, v2) = v0)) &
% 71.37/10.41 ! [v0: ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v1:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v2: ZF$] : ! [v3:
% 71.37/10.41 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$]
% 71.37/10.41 : (v1 = v0 | ~ (natTransMap$c(v3, v2) = v1) | ~ (natTransMap$c(v3, v2) =
% 71.37/10.41 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.41 ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$]
% 71.37/10.41 : ! [v3:
% 71.37/10.41 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$]
% 71.37/10.41 : (v1 = v0 | ~ (nTCompDefined$c(v3, v2) = v1) | ~ (nTCompDefined$c(v3, v2) =
% 71.37/10.41 v0)) & ! [v0: B$] : ! [v1: B$] : ! [v2: ZF$] : ! [v3:
% 71.37/10.41 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.41 (natTransMap$b(v3, v2) = v1) | ~ (natTransMap$b(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.41 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : ! [v3:
% 71.37/10.41 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.41 (nTCompDefined$b(v3, v2) = v1) | ~ (nTCompDefined$b(v3, v2) = v0)) & !
% 71.37/10.41 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: ZF_ZF_fun_set$]
% 71.37/10.41 : ! [v3: ZF_ZF_fun$] : (v1 = v0 | ~ (member$j(v3, v2) = v1) | ~
% 71.37/10.41 (member$j(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3:
% 71.37/10.41 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$]
% 71.37/10.41 : (v1 = v0 | ~ (fun_app$x(v3, v2) = v1) | ~ (fun_app$x(v3, v2) = v0)) & !
% 71.37/10.41 [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.41 (natTransComp$a(v3, v2) = v1) | ~ (natTransComp$a(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v1:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v2:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v3:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ (natTransComp$(v3,
% 71.37/10.41 v2) = v1) | ~ (natTransComp$(v3, v2) = v0)) & ! [v0: B$] : ! [v1: B$]
% 71.37/10.41 : ! [v2: ZF$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~
% 71.37/10.41 (zF2mor$(v3, v2) = v1) | ~ (zF2mor$(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v3:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.41 (nTCompDefined$(v3, v2) = v1) | ~ (nTCompDefined$(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v3:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.37/10.41 (functor_comp_def$c(v3, v2) = v1) | ~ (functor_comp_def$c(v3, v2) = v0)) &
% 71.37/10.41 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v3:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.37/10.41 (functor_comp_def$b(v3, v2) = v1) | ~ (functor_comp_def$b(v3, v2) = v0)) &
% 71.37/10.41 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.41 ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] : ! [v3:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.37/10.41 (functor_comp_def$a(v3, v2) = v1) | ~ (functor_comp_def$a(v3, v2) = v0)) &
% 71.37/10.41 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.41 ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] : ! [v3:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.37/10.41 (functor_comp_def$(v3, v2) = v1) | ~ (functor_comp_def$(v3, v2) = v0)) & !
% 71.37/10.41 [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v1:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v2:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.41 (nt_abbrev$a(v3, v2) = v1) | ~ (nt_abbrev$a(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] : ! [v3:
% 71.37/10.41 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (homFtor$(v3, v2) =
% 71.37/10.41 v1) | ~ (homFtor$(v3, v2) = v0)) & ! [v0: ZF_ZF_unit_Category_ext$] : !
% 71.37/10.41 [v1: ZF_ZF_unit_Category_ext$] : ! [v2: ZF_ZF_unit_Category_ext$] : ! [v3:
% 71.37/10.41 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : (v1 = v0 | ~
% 71.37/10.41 (fun_app$w(v3, v2) = v1) | ~ (fun_app$w(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$]
% 71.37/10.41 : (v1 = v0 | ~ (nTCod_update$a(v3, v2) = v1) | ~ (nTCod_update$a(v3, v2) =
% 71.37/10.41 v0)) & ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : !
% 71.37/10.41 [v1: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$]
% 71.37/10.41 : (v1 = v0 | ~ (fun_app$v(v3, v2) = v1) | ~ (fun_app$v(v3, v2) = v0)) & !
% 71.37/10.41 [v0: ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v1:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v2:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v3:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun$]
% 71.37/10.41 : (v1 = v0 | ~ (nTCod_update$(v3, v2) = v1) | ~ (nTCod_update$(v3, v2) =
% 71.37/10.41 v0)) & ! [v0: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v3:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun$]
% 71.37/10.41 : (v1 = v0 | ~ (fun_app$u(v3, v2) = v1) | ~ (fun_app$u(v3, v2) = v0)) & !
% 71.37/10.41 [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2: A$] : ! [v3:
% 71.37/10.41 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (homFtorContra$(v3,
% 71.37/10.41 v2) = v1) | ~ (homFtorContra$(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2: B$] : !
% 71.37/10.41 [v3: B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : (v1 = v0 |
% 71.37/10.41 ~ (fun_app$t(v3, v2) = v1) | ~ (fun_app$t(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 71.37/10.41 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 71.37/10.41 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v3:
% 71.37/10.41 A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$]
% 71.37/10.41 : (v1 = v0 | ~ (fun_app$s(v3, v2) = v1) | ~ (fun_app$s(v3, v2) = v0)) & !
% 71.37/10.41 [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2: B$] : !
% 71.37/10.41 [v3: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (yFtorNT$(v3, v2) =
% 71.37/10.41 v1) | ~ (yFtorNT$(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3:
% 71.37/10.41 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$]
% 71.37/10.41 : (v1 = v0 | ~ (fun_app$r(v3, v2) = v1) | ~ (fun_app$r(v3, v2) = v0)) & !
% 71.37/10.41 [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$] : ! [v1:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$] : ! [v2:
% 71.37/10.41 ZF_ZF_unit_Category_ext$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] :
% 71.37/10.41 (v1 = v0 | ~ (uuo$(v3, v2) = v1) | ~ (uuo$(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$] : (v1 = v0 |
% 71.37/10.41 ~ (fun_app$q(v3, v2) = v1) | ~ (fun_app$q(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 B_bool_fun$] : ! [v1: B_bool_fun$] : ! [v2: ZF$] : ! [v3:
% 71.37/10.41 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (uus$(v3, v2) = v1) |
% 71.37/10.41 ~ (uus$(v3, v2) = v0)) & ! [v0: B$] : ! [v1: B$] : ! [v2: A$] : ! [v3:
% 71.37/10.41 A_b_fun$] : (v1 = v0 | ~ (fun_app$p(v3, v2) = v1) | ~ (fun_app$p(v3, v2) =
% 71.37/10.41 v0)) & ! [v0: ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: A$] : !
% 71.37/10.41 [v3: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.37/10.41 (uuq$(v3, v2) = v1) | ~ (uuq$(v3, v2) = v0)) & ! [v0: A_ZF_fun$] : ! [v1:
% 71.37/10.41 A_ZF_fun$] : ! [v2: B$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] :
% 71.37/10.41 (v1 = v0 | ~ (uum$(v3, v2) = v1) | ~ (uum$(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 B_ZF_fun$] : ! [v1: B_ZF_fun$] : ! [v2: A$] : ! [v3:
% 71.37/10.41 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (homFtorMap$(v3, v2) =
% 71.37/10.41 v1) | ~ (homFtorMap$(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v1:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v2:
% 71.37/10.41 ZF_ZF_unit_Category_ext$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] :
% 71.37/10.41 (v1 = v0 | ~ (uun$(v3, v2) = v1) | ~ (uun$(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 B_ZF_fun$] : ! [v1: B_ZF_fun$] : ! [v2: A$] : ! [v3:
% 71.37/10.41 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (uul$(v3, v2) = v1) |
% 71.37/10.41 ~ (uul$(v3, v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$] : ! [v2: B$] : ! [v3:
% 71.37/10.41 B_ZF_fun$] : (v1 = v0 | ~ (fun_app$o(v3, v2) = v1) | ~ (fun_app$o(v3, v2)
% 71.37/10.41 = v0)) & ! [v0: A_ZF_fun$] : ! [v1: A_ZF_fun$] : ! [v2: B$] : ! [v3:
% 71.37/10.41 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (homFtorMapContra$(v3,
% 71.37/10.41 v2) = v1) | ~ (homFtorMapContra$(v3, v2) = v0)) & ! [v0: A_ZF_fun$] :
% 71.37/10.41 ! [v1: A_ZF_fun$] : ! [v2:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.41 (uup$(v3, v2) = v1) | ~ (uup$(v3, v2) = v0)) & ! [v0: ZF$] : ! [v1: ZF$]
% 71.37/10.41 : ! [v2: A$] : ! [v3: A_ZF_fun$] : (v1 = v0 | ~ (fun_app$n(v3, v2) = v1) |
% 71.37/10.41 ~ (fun_app$n(v3, v2) = v0)) & ! [v0: B_b_fun$] : ! [v1: B_b_fun$] : !
% 71.37/10.41 [v2: B$] : ! [v3: B_b_b_fun_fun$] : (v1 = v0 | ~ (fun_app$m(v3, v2) = v1) |
% 71.37/10.41 ~ (fun_app$m(v3, v2) = v0)) & ! [v0: B$] : ! [v1: B$] : ! [v2: B$] : !
% 71.37/10.41 [v3: B_b_fun$] : (v1 = v0 | ~ (fun_app$l(v3, v2) = v1) | ~ (fun_app$l(v3,
% 71.37/10.41 v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2: ZF$] :
% 71.37/10.41 ! [v3: ZF_ZF_ZF_fun_fun$] : (v1 = v0 | ~ (fun_app$k(v3, v2) = v1) | ~
% 71.37/10.41 (fun_app$k(v3, v2) = v0)) & ! [v0: B_b_prod$] : ! [v1: B_b_prod$] : !
% 71.37/10.41 [v2: B$] : ! [v3: B$] : (v1 = v0 | ~ (pair$a(v3, v2) = v1) | ~ (pair$a(v3,
% 71.37/10.41 v2) = v0)) & ! [v0: B_bool_fun$] : ! [v1: B_bool_fun$] : ! [v2: B$] :
% 71.37/10.41 ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~
% 71.37/10.41 (compDefined$a(v3, v2) = v1) | ~ (compDefined$a(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 ZF_ZF_prod$] : ! [v1: ZF_ZF_prod$] : ! [v2: ZF$] : ! [v3: ZF$] : (v1 = v0
% 71.37/10.41 | ~ (pair$(v3, v2) = v1) | ~ (pair$(v3, v2) = v0)) & ! [v0: ZF_bool_fun$]
% 71.37/10.41 : ! [v1: ZF_bool_fun$] : ! [v2: ZF$] : ! [v3: ZF_ZF_unit_Category_ext$] :
% 71.37/10.41 (v1 = v0 | ~ (compDefined$(v3, v2) = v1) | ~ (compDefined$(v3, v2) = v0)) &
% 71.37/10.41 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: A$] : ! [v3:
% 71.37/10.41 A_bool_fun$] : (v1 = v0 | ~ (fun_app$j(v3, v2) = v1) | ~ (fun_app$j(v3,
% 71.37/10.41 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 71.37/10.41 ! [v2: A_set$] : ! [v3: A$] : (v1 = v0 | ~ (member$i(v3, v2) = v1) | ~
% 71.37/10.41 (member$i(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.37/10.41 MultipleValueBool] : ! [v2: B$] : ! [v3: B_bool_fun$] : (v1 = v0 | ~
% 71.37/10.41 (fun_app$i(v3, v2) = v1) | ~ (fun_app$i(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: B_set$] : ! [v3:
% 71.37/10.41 B$] : (v1 = v0 | ~ (member$h(v3, v2) = v1) | ~ (member$h(v3, v2) = v0)) &
% 71.37/10.41 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: A_b_fun$] :
% 71.37/10.41 ! [v3: A_b_fun_bool_fun$] : (v1 = v0 | ~ (fun_app$h(v3, v2) = v1) | ~
% 71.37/10.41 (fun_app$h(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.37/10.41 MultipleValueBool] : ! [v2: A_b_fun_set$] : ! [v3: A_b_fun$] : (v1 = v0 |
% 71.37/10.41 ~ (member$g(v3, v2) = v1) | ~ (member$g(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: A_ZF_fun$] : !
% 71.37/10.41 [v3: A_ZF_fun_bool_fun$] : (v1 = v0 | ~ (fun_app$g(v3, v2) = v1) | ~
% 71.37/10.41 (fun_app$g(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.37/10.41 MultipleValueBool] : ! [v2: A_ZF_fun_set$] : ! [v3: A_ZF_fun$] : (v1 = v0
% 71.37/10.41 | ~ (member$f(v3, v2) = v1) | ~ (member$f(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: B_a_fun$] : !
% 71.37/10.41 [v3: B_a_fun_bool_fun$] : (v1 = v0 | ~ (fun_app$f(v3, v2) = v1) | ~
% 71.37/10.41 (fun_app$f(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.37/10.41 MultipleValueBool] : ! [v2: B_a_fun_set$] : ! [v3: B_a_fun$] : (v1 = v0 |
% 71.37/10.41 ~ (member$e(v3, v2) = v1) | ~ (member$e(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: B_ZF_fun$] : !
% 71.37/10.41 [v3: B_ZF_fun_bool_fun$] : (v1 = v0 | ~ (fun_app$e(v3, v2) = v1) | ~
% 71.37/10.41 (fun_app$e(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.37/10.41 MultipleValueBool] : ! [v2: B_ZF_fun_set$] : ! [v3: B_ZF_fun$] : (v1 = v0
% 71.37/10.41 | ~ (member$d(v3, v2) = v1) | ~ (member$d(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: ZF$] : ! [v3:
% 71.37/10.41 ZF_bool_fun$] : (v1 = v0 | ~ (fun_app$d(v3, v2) = v1) | ~ (fun_app$d(v3,
% 71.37/10.41 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 71.37/10.41 ! [v2: ZF_set$] : ! [v3: ZF$] : (v1 = v0 | ~ (member$c(v3, v2) = v1) | ~
% 71.37/10.41 (member$c(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.37/10.41 MultipleValueBool] : ! [v2: B_b_prod$] : ! [v3: B_b_prod_bool_fun$] : (v1
% 71.37/10.41 = v0 | ~ (fun_app$c(v3, v2) = v1) | ~ (fun_app$c(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: B_b_prod_set$] :
% 71.37/10.41 ! [v3: B_b_prod$] : (v1 = v0 | ~ (member$b(v3, v2) = v1) | ~ (member$b(v3,
% 71.37/10.41 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 71.37/10.41 ! [v2: ZF_ZF_prod$] : ! [v3: ZF_ZF_prod_bool_fun$] : (v1 = v0 | ~
% 71.37/10.41 (fun_app$b(v3, v2) = v1) | ~ (fun_app$b(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: ZF_ZF_prod_set$] :
% 71.37/10.41 ! [v3: ZF_ZF_prod$] : (v1 = v0 | ~ (member$a(v3, v2) = v1) | ~
% 71.37/10.41 (member$a(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.37/10.41 MultipleValueBool] : ! [v2:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v3:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : (v1 = v0 |
% 71.37/10.41 ~ (fun_app$a(v3, v2) = v1) | ~ (fun_app$a(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$] : ! [v3:
% 71.37/10.41 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.37/10.41 (member$(v3, v2) = v1) | ~ (member$(v3, v2) = v0)) & ! [v0: ZF$] : ! [v1:
% 71.37/10.41 ZF$] : ! [v2: ZF$] : ! [v3: ZF_ZF_fun$] : (v1 = v0 | ~ (fun_app$(v3, v2)
% 71.37/10.41 = v1) | ~ (fun_app$(v3, v2) = v0)) & ! [v0:
% 71.37/10.41 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : ! [v1:
% 71.37/10.41 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : ! [v2:
% 71.37/10.41 ZF_ZF_fun_ZF_ZF_fun_fun$] : (v1 = v0 | ~ (id_update$(v2) = v1) | ~
% 71.37/10.41 (id_update$(v2) = v0)) & ! [v0:
% 71.37/10.41 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : ! [v1:
% 71.37/10.41 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : ! [v2:
% 71.37/10.41 ZF_ZF_fun_ZF_ZF_fun_fun$] : (v1 = v0 | ~ (cod_update$(v2) = v1) | ~
% 71.37/10.41 (cod_update$(v2) = v0)) & ! [v0:
% 71.37/10.41 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : ! [v1:
% 71.37/10.41 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : ! [v2:
% 71.37/10.41 ZF_ZF_fun_ZF_ZF_fun_fun$] : (v1 = v0 | ~ (dom_update$(v2) = v1) | ~
% 71.37/10.41 (dom_update$(v2) = v0)) & ! [v0:
% 71.37/10.41 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : ! [v1:
% 71.37/10.41 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : ! [v2:
% 71.37/10.41 ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$] : (v1 = v0 | ~ (comp_update$(v2) =
% 71.37/10.41 v1) | ~ (comp_update$(v2) = v0)) & ! [v0:
% 71.37/10.41 A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$]
% 71.37/10.41 : ! [v1:
% 71.37/10.41 A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$]
% 71.37/10.41 : ! [v2: B_set_b_set_fun$] : (v1 = v0 | ~ (mor_update$a(v2) = v1) | ~
% 71.37/10.41 (mor_update$a(v2) = v0)) & ! [v0:
% 71.37/10.41 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : ! [v1:
% 71.37/10.41 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : ! [v2:
% 71.37/10.41 ZF_set_ZF_set_fun$] : (v1 = v0 | ~ (obj_update$(v2) = v1) | ~
% 71.37/10.41 (obj_update$(v2) = v0)) & ! [v0:
% 71.37/10.41 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : ! [v1:
% 71.37/10.41 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : ! [v2:
% 71.37/10.41 ZF_set_ZF_set_fun$] : (v1 = v0 | ~ (mor_update$(v2) = v1) | ~
% 71.37/10.41 (mor_update$(v2) = v0)) & ! [v0: ZF_ZF_fun_ZF_ZF_fun_fun$] : ! [v1:
% 71.37/10.41 ZF_ZF_fun_ZF_ZF_fun_fun$] : ! [v2: ZF_ZF_fun$] : (v1 = v0 | ~ (comp$d(v2)
% 71.37/10.41 = v1) | ~ (comp$d(v2) = v0)) & ! [v0:
% 71.37/10.41 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : ! [v1:
% 71.37/10.41 ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : ! [v2:
% 71.37/10.41 Unit_unit_fun$] : (v1 = v0 | ~ (more_update$a(v2) = v1) | ~
% 71.37/10.41 (more_update$a(v2) = v0)) & ! [v0: B_b_prod_b_fun_set$] : ! [v1:
% 71.37/10.41 B_b_prod_b_fun_set$] : ! [v2: B_b_prod_set$] : (v1 = v0 | ~
% 71.37/10.41 (extensional$f(v2) = v1) | ~ (extensional$f(v2) = v0)) & ! [v0:
% 71.37/10.41 A_b_fun_set$] : ! [v1: A_b_fun_set$] : ! [v2: A_set$] : (v1 = v0 | ~
% 71.37/10.41 (extensional$e(v2) = v1) | ~ (extensional$e(v2) = v0)) & ! [v0:
% 71.37/10.41 ZF_ZF_prod_ZF_fun_set$] : ! [v1: ZF_ZF_prod_ZF_fun_set$] : ! [v2:
% 71.37/10.41 ZF_ZF_prod_set$] : (v1 = v0 | ~ (extensional$d(v2) = v1) | ~
% 71.37/10.41 (extensional$d(v2) = v0)) & ! [v0: B$] : ! [v1: B$] : ! [v2: B_bool_fun$]
% 71.37/10.41 : (v1 = v0 | ~ (the$a(v2) = v1) | ~ (the$a(v2) = v0)) & ! [v0: ZF$] : !
% 71.37/10.41 [v1: ZF$] : ! [v2: ZF_bool_fun$] : (v1 = v0 | ~ (the$(v2) = v1) | ~
% 71.37/10.41 (the$(v2) = v0)) & ! [v0:
% 71.37/10.41 A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$]
% 71.37/10.41 : ! [v1:
% 71.37/10.41 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$]
% 71.37/10.41 : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (yFtor$(v2) =
% 71.37/10.41 v1) | ~ (yFtor$(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.37/10.41 MultipleValueBool] : ! [v2:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.37/10.41 : (v1 = v0 | ~ (category_axioms$b(v2) = v1) | ~ (category_axioms$b(v2) =
% 71.37/10.41 v0)) & ! [v0: ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] : ! [v1:
% 71.37/10.41 ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] : ! [v2:
% 71.37/10.41 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (unitFunctor$(v2) = v1) | ~
% 71.37/10.41 (unitFunctor$(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.37/10.41 MultipleValueBool] : ! [v2:
% 71.37/10.41 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.37/10.41 : (v1 = v0 | ~ (category$b(v2) = v1) | ~ (category$b(v2) = v0)) & ! [v0:
% 71.37/10.41 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.41 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (extCategory$a(v2) = v1) | ~
% 71.37/10.41 (extCategory$a(v2) = v0)) & ! [v0: B_a_fun_set$] : ! [v1: B_a_fun_set$] :
% 71.37/10.41 ! [v2: B_set$] : (v1 = v0 | ~ (extensional$c(v2) = v1) | ~
% 71.37/10.41 (extensional$c(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.37/10.41 MultipleValueBool] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 =
% 71.37/10.41 v0 | ~ (extCategory$(v2) = v1) | ~ (extCategory$(v2) = v0)) & ! [v0:
% 71.37/10.41 ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1
% 71.37/10.41 = v0 | ~ (inverse$(v2) = v1) | ~ (inverse$(v2) = v0)) & ! [v0:
% 71.37/10.41 ZF_bool_fun$] : ! [v1: ZF_bool_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] :
% 71.37/10.41 (v1 = v0 | ~ (isomorphism$a(v2) = v1) | ~ (isomorphism$a(v2) = v0)) & !
% 71.37/10.41 [v0: B_bool_fun$] : ! [v1: B_bool_fun$] : ! [v2:
% 71.37/10.41 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (isomorphism$(v2) =
% 71.37/10.41 v1) | ~ (isomorphism$(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.37/10.41 MultipleValueBool] : ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1
% 71.37/10.42 = v0 | ~ (preFunctor$a(v2) = v1) | ~ (preFunctor$a(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2: ZF_ZF_unit_Category_ext$]
% 71.37/10.42 : (v1 = v0 | ~ (identityFunctor$a(v2) = v1) | ~ (identityFunctor$a(v2) =
% 71.37/10.42 v0)) & ! [v0: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2: ZF_ZF_unit_Category_ext$]
% 71.37/10.42 : (v1 = v0 | ~ (identityFunctor$(v2) = v1) | ~ (identityFunctor$(v2) = v0))
% 71.37/10.42 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (category$(v2) = v1) |
% 71.37/10.42 ~ (category$(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.37/10.42 MultipleValueBool] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~
% 71.37/10.42 (category$a(v2) = v1) | ~ (category$a(v2) = v0)) & ! [v0: Unit$] : ! [v1:
% 71.37/10.42 Unit$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (more$e(v2) = v1)
% 71.37/10.42 | ~ (more$e(v2) = v0)) & ! [v0: B_c_LSCategory_ext$] : ! [v1:
% 71.37/10.42 B_c_LSCategory_ext$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 =
% 71.37/10.42 v0 | ~ (more$d(v2) = v1) | ~ (more$d(v2) = v0)) & ! [v0: C$] : ! [v1:
% 71.37/10.42 C$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~
% 71.37/10.42 (more$c(v2) = v1) | ~ (more$c(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 71.37/10.42 [v1: MultipleValueBool] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~
% 71.37/10.42 (category_axioms$a(v2) = v1) | ~ (category_axioms$a(v2) = v0)) & ! [v0:
% 71.37/10.42 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (category_axioms$(v2)
% 71.37/10.42 = v1) | ~ (category_axioms$(v2) = v0)) & ! [v0: Unit$] : ! [v1: Unit$]
% 71.37/10.42 : ! [v2: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.37/10.42 (more$b(v2) = v1) | ~ (more$b(v2) = v0)) & ! [v0: ZF_bool_fun$] : ! [v1:
% 71.37/10.42 ZF_bool_fun$] : ! [v2: ZF$] : (v1 = v0 | ~ (elem$(v2) = v1) | ~
% 71.37/10.42 (elem$(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2:
% 71.37/10.42 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (dom$a(v2) = v1) | ~ (dom$a(v2) =
% 71.37/10.42 v0)) & ! [v0: B_a_fun$] : ! [v1: B_a_fun$] : ! [v2:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (dom$(v2) = v1) | ~
% 71.37/10.42 (dom$(v2) = v0)) & ! [v0: B_a_fun$] : ! [v1: B_a_fun$] : ! [v2:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (cod$a(v2) = v1) | ~
% 71.37/10.42 (cod$a(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] : ! [v2:
% 71.37/10.42 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (cod$(v2) = v1) | ~ (cod$(v2) =
% 71.37/10.42 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (functorExt$(v2) =
% 71.37/10.42 v1) | ~ (functorExt$(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.37/10.42 MultipleValueBool] : ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1
% 71.37/10.42 = v0 | ~ (functorM$(v2) = v1) | ~ (functorM$(v2) = v0)) & ! [v0:
% 71.37/10.42 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.37/10.42 (functorM_axioms$(v2) = v1) | ~ (functorM_axioms$(v2) = v0)) & ! [v0:
% 71.37/10.42 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (equivalence$(v2) =
% 71.37/10.42 v1) | ~ (equivalence$(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.37/10.42 MultipleValueBool] : ! [v2:
% 71.37/10.42 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$]
% 71.37/10.42 : (v1 = v0 | ~ (natTrans$f(v2) = v1) | ~ (natTrans$f(v2) = v0)) & ! [v0:
% 71.37/10.42 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.42 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$]
% 71.37/10.42 : (v1 = v0 | ~ (natTrans$e(v2) = v1) | ~ (natTrans$e(v2) = v0)) & ! [v0:
% 71.37/10.42 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.42 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0
% 71.37/10.42 | ~ (natTrans$d(v2) = v1) | ~ (natTrans$d(v2) = v0)) & ! [v0:
% 71.37/10.42 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.42 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.42 (natTrans$c(v2) = v1) | ~ (natTrans$c(v2) = v0)) & ! [v0:
% 71.37/10.42 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.42 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$]
% 71.37/10.42 : (v1 = v0 | ~ (functor$f(v2) = v1) | ~ (functor$f(v2) = v0)) & ! [v0:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 71.37/10.42 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$]
% 71.37/10.42 : (v1 = v0 | ~ (catDom$f(v2) = v1) | ~ (catDom$f(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.37/10.42 : ! [v1:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.37/10.42 : ! [v2:
% 71.37/10.42 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$]
% 71.37/10.42 : (v1 = v0 | ~ (catCod$f(v2) = v1) | ~ (catCod$f(v2) = v0)) & ! [v0:
% 71.37/10.42 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.42 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$]
% 71.37/10.42 : (v1 = v0 | ~ (functor$e(v2) = v1) | ~ (functor$e(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 71.37/10.42 ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$]
% 71.37/10.42 : (v1 = v0 | ~ (catDom$e(v2) = v1) | ~ (catDom$e(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.37/10.42 : ! [v1:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.37/10.42 : ! [v2:
% 71.37/10.42 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$]
% 71.37/10.42 : (v1 = v0 | ~ (catCod$e(v2) = v1) | ~ (catCod$e(v2) = v0)) & ! [v0:
% 71.37/10.42 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.42 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0
% 71.37/10.42 | ~ (functor$d(v2) = v1) | ~ (functor$d(v2) = v0)) & ! [v0:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 71.37/10.42 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0
% 71.37/10.42 | ~ (catDom$d(v2) = v1) | ~ (catDom$d(v2) = v0)) & ! [v0:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 71.37/10.42 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0
% 71.37/10.42 | ~ (catCod$d(v2) = v1) | ~ (catCod$d(v2) = v0)) & ! [v0:
% 71.37/10.42 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.42 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~
% 71.37/10.42 (functor$c(v2) = v1) | ~ (functor$c(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 71.37/10.42 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~
% 71.37/10.42 (catDom$c(v2) = v1) | ~ (catDom$c(v2) = v0)) & ! [v0:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 71.37/10.42 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : (v1 = v0 | ~
% 71.37/10.42 (catCod$c(v2) = v1) | ~ (catCod$c(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 71.37/10.42 ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.42 (nTCatDom$f(v2) = v1) | ~ (nTCatDom$f(v2) = v0)) & ! [v0:
% 71.37/10.42 Unit_unit_unit_Category_ext$] : ! [v1: Unit_unit_unit_Category_ext$] : !
% 71.37/10.42 [v2: ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.42 (nTCatCod$f(v2) = v1) | ~ (nTCatCod$f(v2) = v0)) & ! [v0:
% 71.37/10.42 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$]
% 71.37/10.42 : ! [v1:
% 71.37/10.42 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$]
% 71.37/10.42 : ! [v2:
% 71.37/10.42 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$]
% 71.37/10.42 : (v1 = v0 | ~ (nTDom$f(v2) = v1) | ~ (nTDom$f(v2) = v0)) & ! [v0:
% 71.37/10.42 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$]
% 71.37/10.42 : ! [v1:
% 71.37/10.42 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$]
% 71.37/10.42 : ! [v2:
% 71.37/10.42 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$]
% 71.37/10.42 : (v1 = v0 | ~ (nTCod$f(v2) = v1) | ~ (nTCod$f(v2) = v0)) & ! [v0:
% 71.37/10.42 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.42 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$]
% 71.37/10.42 : (v1 = v0 | ~ (natTransP$f(v2) = v1) | ~ (natTransP$f(v2) = v0)) & ! [v0:
% 71.37/10.42 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$]
% 71.37/10.42 : ! [v1:
% 71.37/10.42 ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$]
% 71.37/10.42 : ! [v2:
% 71.37/10.42 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$]
% 71.37/10.42 : (v1 = v0 | ~ (nTDom$e(v2) = v1) | ~ (nTDom$e(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$]
% 71.37/10.42 : ! [v1:
% 71.37/10.42 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$]
% 71.37/10.42 : ! [v2:
% 71.37/10.42 ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$]
% 71.37/10.42 : (v1 = v0 | ~ (nTCod$e(v2) = v1) | ~ (nTCod$e(v2) = v0)) & ! [v0:
% 71.37/10.42 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.42 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$]
% 71.37/10.42 : (v1 = v0 | ~ (natTransP$e(v2) = v1) | ~ (natTransP$e(v2) = v0)) & ! [v0:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.37/10.42 : ! [v1:
% 71.37/10.42 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$]
% 71.37/10.42 : ! [v2:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.37/10.42 : (v1 = v0 | ~ (makeCat$c(v2) = v1) | ~ (makeCat$c(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.37/10.42 : ! [v1:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.37/10.42 : ! [v2:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.37/10.42 : (v1 = v0 | ~ (makeCat$b(v2) = v1) | ~ (makeCat$b(v2) = v0)) & ! [v0:
% 71.37/10.42 A_ZF_fun$] : ! [v1: A_ZF_fun$] : ! [v2:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.37/10.42 (mapO$c(v2) = v1) | ~ (mapO$c(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1:
% 71.37/10.42 ZF_ZF_fun$] : ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 |
% 71.37/10.42 ~ (mapO$b(v2) = v1) | ~ (mapO$b(v2) = v0)) & ! [v0:
% 71.37/10.42 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1:
% 71.37/10.42 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2:
% 71.37/10.42 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0
% 71.37/10.42 | ~ (nTDom$d(v2) = v1) | ~ (nTDom$d(v2) = v0)) & ! [v0:
% 71.37/10.42 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1:
% 71.37/10.42 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2:
% 71.37/10.42 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0
% 71.37/10.42 | ~ (nTCod$d(v2) = v1) | ~ (nTCod$d(v2) = v0)) & ! [v0:
% 71.37/10.42 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.42 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0
% 71.37/10.42 | ~ (natTransP$d(v2) = v1) | ~ (natTransP$d(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1:
% 71.37/10.42 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2:
% 71.37/10.42 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.42 (nTDom$c(v2) = v1) | ~ (nTDom$c(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v1:
% 71.37/10.42 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$] : ! [v2:
% 71.37/10.42 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.42 (nTCod$c(v2) = v1) | ~ (nTCod$c(v2) = v0)) & ! [v0: MultipleValueBool] :
% 71.37/10.42 ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.42 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.42 (natTransP$c(v2) = v1) | ~ (natTransP$c(v2) = v0)) & ! [v0: Unit_set$] :
% 71.37/10.42 ! [v1: Unit_set$] : ! [v2: Unit_unit_unit_Category_ext$] : (v1 = v0 | ~
% 71.37/10.42 (mor$c(v2) = v1) | ~ (mor$c(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1:
% 71.37/10.42 ZF_ZF_fun$] : ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 |
% 71.37/10.42 ~ (mapM$b(v2) = v1) | ~ (mapM$b(v2) = v0)) & ! [v0: MultipleValueBool] :
% 71.37/10.42 ! [v1: MultipleValueBool] : ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$]
% 71.37/10.42 : (v1 = v0 | ~ (natTransExt$(v2) = v1) | ~ (natTransExt$(v2) = v0)) & !
% 71.37/10.42 [v0: ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$] : ! [v1:
% 71.37/10.42 ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$] : ! [v2:
% 71.37/10.42 ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.37/10.42 (idNatTrans$e(v2) = v1) | ~ (idNatTrans$e(v2) = v0)) & ! [v0:
% 71.37/10.42 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.42 ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.42 (natTrans$b(v2) = v1) | ~ (natTrans$b(v2) = v0)) & ! [v0: B_ZF_fun_set$] :
% 71.37/10.42 ! [v1: B_ZF_fun_set$] : ! [v2: B_set$] : (v1 = v0 | ~ (extensional$b(v2) =
% 71.37/10.42 v1) | ~ (extensional$b(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.37/10.42 : ! [v1:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.37/10.42 : ! [v2:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.37/10.42 : (v1 = v0 | ~ (oppositeCategory$c(v2) = v1) | ~ (oppositeCategory$c(v2) =
% 71.37/10.42 v0)) & ! [v0:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.37/10.42 : ! [v1:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.37/10.42 : ! [v2:
% 71.37/10.42 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$]
% 71.37/10.42 : (v1 = v0 | ~ (nTCatCod$e(v2) = v1) | ~ (nTCatCod$e(v2) = v0)) & ! [v0:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 71.37/10.42 A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$]
% 71.37/10.42 : (v1 = v0 | ~ (nTCatDom$e(v2) = v1) | ~ (nTCatDom$e(v2) = v0)) & ! [v0:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 71.37/10.42 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0
% 71.37/10.42 | ~ (nTCatCod$d(v2) = v1) | ~ (nTCatCod$d(v2) = v0)) & ! [v0: A_b_fun$] :
% 71.37/10.42 ! [v1: A_b_fun$] : ! [v2:
% 71.37/10.42 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0
% 71.37/10.42 | ~ (natTransMap$d(v2) = v1) | ~ (natTransMap$d(v2) = v0)) & ! [v0:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 71.37/10.42 A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0
% 71.37/10.42 | ~ (nTCatDom$d(v2) = v1) | ~ (nTCatDom$d(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.37/10.42 : ! [v1:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.37/10.42 : ! [v2:
% 71.37/10.42 ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext$]
% 71.37/10.42 : (v1 = v0 | ~ (nTCatCod$c(v2) = v1) | ~ (nTCatCod$c(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 71.37/10.42 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$]
% 71.37/10.42 : (v1 = v0 | ~ (nTCatDom$c(v2) = v1) | ~ (nTCatDom$c(v2) = v0)) & ! [v0:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 71.37/10.42 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.42 (nTCatCod$b(v2) = v1) | ~ (nTCatCod$b(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 71.37/10.42 ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.42 (nTCatDom$b(v2) = v1) | ~ (nTCatDom$b(v2) = v0)) & ! [v0: A_ZF_fun_set$] :
% 71.37/10.42 ! [v1: A_ZF_fun_set$] : ! [v2: A_set$] : (v1 = v0 | ~ (extensional$a(v2) =
% 71.37/10.42 v1) | ~ (extensional$a(v2) = v0)) & ! [v0: ZF_ZF_fun_set$] : ! [v1:
% 71.37/10.42 ZF_ZF_fun_set$] : ! [v2: ZF_set$] : (v1 = v0 | ~ (extensional$(v2) = v1) |
% 71.37/10.42 ~ (extensional$(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v1:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v2:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (idNatTrans$c(v2) =
% 71.37/10.42 v1) | ~ (idNatTrans$c(v2) = v0)) & ! [v0: Unit$] : ! [v1: Unit$] : !
% 71.37/10.42 [v2: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.42 (more$a(v2) = v1) | ~ (more$a(v2) = v0)) & ! [v0: Unit$] : ! [v1: Unit$]
% 71.37/10.42 : ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ (more$(v2)
% 71.37/10.42 = v1) | ~ (more$(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1: ZF_ZF_fun$] :
% 71.37/10.42 ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.42 (natTransMap$a(v2) = v1) | ~ (natTransMap$a(v2) = v0)) & ! [v0:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$] : ! [v1:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$] : ! [v2:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.42 (nTCompDefined$a(v2) = v1) | ~ (nTCompDefined$a(v2) = v0)) & ! [v0:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$] : ! [v1:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$] : ! [v2:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$] : (v1 = v0 |
% 71.37/10.42 ~ (collect$j(v2) = v1) | ~ (collect$j(v2) = v0)) & ! [v0:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$] : ! [v1:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$] : ! [v2:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : (v1 = v0 |
% 71.37/10.42 ~ (collect$i(v2) = v1) | ~ (collect$i(v2) = v0)) & ! [v0: A_b_fun_set$] :
% 71.37/10.42 ! [v1: A_b_fun_set$] : ! [v2: A_b_fun_bool_fun$] : (v1 = v0 | ~
% 71.37/10.42 (collect$h(v2) = v1) | ~ (collect$h(v2) = v0)) & ! [v0: A_ZF_fun_set$] :
% 71.37/10.42 ! [v1: A_ZF_fun_set$] : ! [v2: A_ZF_fun_bool_fun$] : (v1 = v0 | ~
% 71.37/10.42 (collect$g(v2) = v1) | ~ (collect$g(v2) = v0)) & ! [v0: B_a_fun_set$] : !
% 71.37/10.42 [v1: B_a_fun_set$] : ! [v2: B_a_fun_bool_fun$] : (v1 = v0 | ~ (collect$f(v2)
% 71.37/10.42 = v1) | ~ (collect$f(v2) = v0)) & ! [v0: B_ZF_fun_set$] : ! [v1:
% 71.37/10.42 B_ZF_fun_set$] : ! [v2: B_ZF_fun_bool_fun$] : (v1 = v0 | ~ (collect$e(v2)
% 71.37/10.42 = v1) | ~ (collect$e(v2) = v0)) & ! [v0: A_set$] : ! [v1: A_set$] : !
% 71.37/10.42 [v2: A_bool_fun$] : (v1 = v0 | ~ (collect$d(v2) = v1) | ~ (collect$d(v2) =
% 71.37/10.42 v0)) & ! [v0: ZF_set$] : ! [v1: ZF_set$] : ! [v2: ZF_bool_fun$] : (v1 =
% 71.37/10.42 v0 | ~ (collect$c(v2) = v1) | ~ (collect$c(v2) = v0)) & ! [v0: B_set$] :
% 71.37/10.42 ! [v1: B_set$] : ! [v2: B_bool_fun$] : (v1 = v0 | ~ (collect$b(v2) = v1) |
% 71.37/10.42 ~ (collect$b(v2) = v0)) & ! [v0: ZF_ZF_unit_Category_ext$] : ! [v1:
% 71.37/10.42 ZF_ZF_unit_Category_ext$] : ! [v2:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ (nTCatCod$a(v2) =
% 71.37/10.42 v1) | ~ (nTCatCod$a(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.37/10.42 MultipleValueBool] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 =
% 71.37/10.42 v0 | ~ (lSCategory_axioms$(v2) = v1) | ~ (lSCategory_axioms$(v2) = v0)) &
% 71.37/10.42 ! [v0: ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (catCod$b(v2) = v1)
% 71.37/10.42 | ~ (catCod$b(v2) = v0)) & ! [v0: ZF_ZF_unit_Category_ext$] : ! [v1:
% 71.37/10.42 ZF_ZF_unit_Category_ext$] : ! [v2:
% 71.37/10.42 ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (catDom$b(v2) =
% 71.37/10.42 v1) | ~ (catDom$b(v2) = v0)) & ! [v0: Unit_unit_unit_Category_ext$] : !
% 71.37/10.42 [v1: Unit_unit_unit_Category_ext$] : ! [v2:
% 71.37/10.42 ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (catCod$a(v2) =
% 71.37/10.42 v1) | ~ (catCod$a(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.37/10.42 MultipleValueBool] : ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1
% 71.37/10.42 = v0 | ~ (natTrans$a(v2) = v1) | ~ (natTrans$a(v2) = v0)) & ! [v0:
% 71.37/10.42 A_set$] : ! [v1: A_set$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] :
% 71.37/10.42 (v1 = v0 | ~ (obj$a(v2) = v1) | ~ (obj$a(v2) = v0)) & ! [v0:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.37/10.42 (idNatTrans$b(v2) = v1) | ~ (idNatTrans$b(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v1:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v2:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (idNatTrans$a(v2) =
% 71.37/10.42 v1) | ~ (idNatTrans$a(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$] : ! [v1:
% 71.37/10.42 ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$] : ! [v2:
% 71.37/10.42 ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.37/10.42 (idNatTrans$(v2) = v1) | ~ (idNatTrans$(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v1:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : ! [v2:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ (makeNT$a(v2) =
% 71.37/10.42 v1) | ~ (makeNT$a(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] : ! [v1:
% 71.37/10.42 ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] : ! [v2:
% 71.37/10.42 ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ (nTCod$b(v2) =
% 71.37/10.42 v1) | ~ (nTCod$b(v2) = v0)) & ! [v0: ZF_set$] : ! [v1: ZF_set$] : !
% 71.37/10.42 [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (mor$b(v2) = v1) | ~
% 71.37/10.42 (mor$b(v2) = v0)) & ! [v0:
% 71.37/10.42 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$]
% 71.37/10.42 : ! [v1:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.37/10.42 : ! [v2:
% 71.37/10.42 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$]
% 71.37/10.42 : (v1 = v0 | ~ (oppositeCategory$a(v2) = v1) | ~ (oppositeCategory$a(v2) =
% 71.37/10.42 v0)) & ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$] :
% 71.37/10.42 ! [v1: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$] : ! [v2:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$]
% 71.37/10.42 : (v1 = v0 | ~ (mor$a(v2) = v1) | ~ (mor$a(v2) = v0)) & ! [v0:
% 71.37/10.42 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : (v1 = v0 | ~ (functor$b(v2) =
% 71.37/10.42 v1) | ~ (functor$b(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.37/10.42 MultipleValueBool] : ! [v2: ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$] :
% 71.37/10.42 (v1 = v0 | ~ (natTransP$b(v2) = v1) | ~ (natTransP$b(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] : ! [v1:
% 71.37/10.42 ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] : ! [v2:
% 71.37/10.42 ZF_unit_ZF_unit_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ (nTDom$b(v2) =
% 71.37/10.42 v1) | ~ (nTDom$b(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.37/10.42 MultipleValueBool] : ! [v2: ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$] :
% 71.37/10.42 (v1 = v0 | ~ (functor$a(v2) = v1) | ~ (functor$a(v2) = v0)) & ! [v0:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$]
% 71.37/10.42 : ! [v1:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$]
% 71.37/10.42 : ! [v2:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$]
% 71.37/10.42 : (v1 = v0 | ~ (catDom_update$a(v2) = v1) | ~ (catDom_update$a(v2) = v0)) &
% 71.37/10.42 ! [v0:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun$]
% 71.37/10.42 : ! [v1:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_fun$]
% 71.37/10.42 : ! [v2: ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$] : (v1 = v0 |
% 71.37/10.42 ~ (catDom_update$(v2) = v1) | ~ (catDom_update$(v2) = v0)) & ! [v0:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.42 (makeNT$(v2) = v1) | ~ (makeNT$(v2) = v0)) & ! [v0:
% 71.37/10.42 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ! [v1:
% 71.37/10.42 B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$] : ! [v2:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (yFtorNT$a(v2) = v1) |
% 71.37/10.42 ~ (yFtorNT$a(v2) = v0)) & ! [v0: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$]
% 71.37/10.42 : ! [v1: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ (nTDom$a(v2) = v1)
% 71.37/10.42 | ~ (nTDom$a(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 71.37/10.42 MultipleValueBool] : ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1
% 71.37/10.42 = v0 | ~ (natTransP$(v2) = v1) | ~ (natTransP$(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ (nTCatDom$a(v2) =
% 71.37/10.42 v1) | ~ (nTCatDom$a(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v1:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$] : ! [v2:
% 71.37/10.42 ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$] : (v1 = v0 | ~ (nTCod$a(v2) = v1)
% 71.37/10.42 | ~ (nTCod$a(v2) = v0)) & ! [v0: ZF_ZF_unit_Category_ext$] : ! [v1:
% 71.37/10.42 ZF_ZF_unit_Category_ext$] : ! [v2: ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$]
% 71.37/10.42 : (v1 = v0 | ~ (catDom$a(v2) = v1) | ~ (catDom$a(v2) = v0)) & ! [v0:
% 71.37/10.42 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (lSCategory$(v2) = v1)
% 71.37/10.42 | ~ (lSCategory$(v2) = v0)) & ! [v0: ZF_ZF_ZF_fun_fun$] : ! [v1:
% 71.37/10.42 ZF_ZF_ZF_fun_fun$] : ! [v2: ZF$] : (v1 = v0 | ~ (uur$(v2) = v1) | ~
% 71.37/10.42 (uur$(v2) = v0)) & ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.42 (nTCatDom$(v2) = v1) | ~ (nTCatDom$(v2) = v0)) & ! [v0: B_set$] : ! [v1:
% 71.37/10.42 B_set$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~
% 71.37/10.42 (mor$(v2) = v1) | ~ (mor$(v2) = v0)) & ! [v0: B_ZF_fun$] : ! [v1:
% 71.37/10.42 B_ZF_fun$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~
% 71.37/10.42 (mor2ZF$(v2) = v1) | ~ (mor2ZF$(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_ZF_unit_Category_ext$] : ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.37/10.42 (catCod$(v2) = v1) | ~ (catCod$(v2) = v0)) & ! [v0: ZF_set$] : ! [v1:
% 71.37/10.42 ZF_set$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (obj$(v2) = v1)
% 71.37/10.42 | ~ (obj$(v2) = v0)) & ! [v0: B_ZF_fun$] : ! [v1: B_ZF_fun$] : ! [v2:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.37/10.42 (mapM$(v2) = v1) | ~ (mapM$(v2) = v0)) & ! [v0:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.37/10.42 (catDom$(v2) = v1) | ~ (catDom$(v2) = v0)) & ! [v0: A_b_fun$] : ! [v1:
% 71.37/10.42 A_b_fun$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~
% 71.37/10.42 (id$(v2) = v1) | ~ (id$(v2) = v0)) & ! [v0: ZF_ZF_fun$] : ! [v1:
% 71.37/10.42 ZF_ZF_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (id$a(v2) =
% 71.37/10.42 v1) | ~ (id$a(v2) = v0)) & ! [v0: B_b_b_fun_fun$] : ! [v1:
% 71.37/10.42 B_b_b_fun_fun$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 |
% 71.37/10.42 ~ (uuj$(v2) = v1) | ~ (uuj$(v2) = v0)) & ! [v0: ZF_ZF_ZF_fun_fun$] : !
% 71.37/10.42 [v1: ZF_ZF_ZF_fun_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~
% 71.37/10.42 (uuk$(v2) = v1) | ~ (uuk$(v2) = v0)) & ! [v0: ZF_ZF_unit_Category_ext$] :
% 71.37/10.42 ! [v1: ZF_ZF_unit_Category_ext$] : ! [v2:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.42 (nTCatCod$(v2) = v1) | ~ (nTCatCod$(v2) = v0)) & ! [v0: A_ZF_fun$] : !
% 71.37/10.42 [v1: A_ZF_fun$] : ! [v2:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (v1 = v0 | ~
% 71.37/10.42 (natTransMap$(v2) = v1) | ~ (natTransMap$(v2) = v0)) & ! [v0:
% 71.37/10.42 B_b_b_fun_fun$] : ! [v1: B_b_b_fun_fun$] : ! [v2:
% 71.37/10.42 A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (comp$a(v2) = v1) | ~
% 71.37/10.42 (comp$a(v2) = v0)) & ! [v0: B_b_prod_b_fun$] : ! [v1: B_b_prod_b_fun$] :
% 71.37/10.42 ! [v2: B_b_b_fun_fun$] : (v1 = v0 | ~ (case_prod$a(v2) = v1) | ~
% 71.37/10.42 (case_prod$a(v2) = v0)) & ! [v0: B_b_prod_set$] : ! [v1: B_b_prod_set$] :
% 71.37/10.42 ! [v2: B_b_prod_bool_fun$] : (v1 = v0 | ~ (collect$a(v2) = v1) | ~
% 71.37/10.42 (collect$a(v2) = v0)) & ! [v0: B_b_b_fun_fun$] : ! [v1: B_b_b_fun_fun$] :
% 71.37/10.42 ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~ (uux$(v2) = v1) |
% 71.37/10.42 ~ (uux$(v2) = v0)) & ! [v0: ZF_ZF_ZF_fun_fun$] : ! [v1:
% 71.37/10.42 ZF_ZF_ZF_fun_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~
% 71.37/10.42 (comp$(v2) = v1) | ~ (comp$(v2) = v0)) & ! [v0: ZF_ZF_prod_ZF_fun$] : !
% 71.37/10.42 [v1: ZF_ZF_prod_ZF_fun$] : ! [v2: ZF_ZF_ZF_fun_fun$] : (v1 = v0 | ~
% 71.37/10.42 (case_prod$(v2) = v1) | ~ (case_prod$(v2) = v0)) & ! [v0: ZF_ZF_prod_set$]
% 71.37/10.42 : ! [v1: ZF_ZF_prod_set$] : ! [v2: ZF_ZF_prod_bool_fun$] : (v1 = v0 | ~
% 71.37/10.42 (collect$(v2) = v1) | ~ (collect$(v2) = v0)) & ! [v0: ZF_ZF_ZF_fun_fun$] :
% 71.37/10.42 ! [v1: ZF_ZF_ZF_fun_fun$] : ! [v2: ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~
% 71.37/10.42 (uuz$(v2) = v1) | ~ (uuz$(v2) = v0)) & ! [v0: B_b_prod_bool_fun$] : !
% 71.37/10.42 [v1: B_b_prod_bool_fun$] : ! [v2: A_b_b_c_LSCategory_ext_Category_ext$] : (v1
% 71.37/10.42 = v0 | ~ (uuw$(v2) = v1) | ~ (uuw$(v2) = v0)) & ! [v0:
% 71.37/10.42 ZF_ZF_prod_bool_fun$] : ! [v1: ZF_ZF_prod_bool_fun$] : ! [v2:
% 71.37/10.42 ZF_ZF_unit_Category_ext$] : (v1 = v0 | ~ (uuy$(v2) = v1) | ~ (uuy$(v2) =
% 71.37/10.42 v0)) & ! [v0: A_bool_fun$] : ! [v1: A_bool_fun$] : ! [v2: A_set$] : (v1
% 71.37/10.42 = v0 | ~ (uub$(v2) = v1) | ~ (uub$(v2) = v0)) & ! [v0: B_bool_fun$] : !
% 71.37/10.42 [v1: B_bool_fun$] : ! [v2: B_set$] : (v1 = v0 | ~ (uu$(v2) = v1) | ~
% 71.37/10.42 (uu$(v2) = v0)) & ! [v0: A_b_fun_bool_fun$] : ! [v1: A_b_fun_bool_fun$] :
% 71.37/10.42 ! [v2: A_b_fun_set$] : (v1 = v0 | ~ (uuf$(v2) = v1) | ~ (uuf$(v2) = v0)) &
% 71.37/10.42 ! [v0: A_ZF_fun_bool_fun$] : ! [v1: A_ZF_fun_bool_fun$] : ! [v2:
% 71.37/10.42 A_ZF_fun_set$] : (v1 = v0 | ~ (uue$(v2) = v1) | ~ (uue$(v2) = v0)) & !
% 71.37/10.42 [v0: B_a_fun_bool_fun$] : ! [v1: B_a_fun_bool_fun$] : ! [v2: B_a_fun_set$] :
% 71.37/10.42 (v1 = v0 | ~ (uud$(v2) = v1) | ~ (uud$(v2) = v0)) & ! [v0:
% 71.37/10.42 B_ZF_fun_bool_fun$] : ! [v1: B_ZF_fun_bool_fun$] : ! [v2: B_ZF_fun_set$] :
% 71.37/10.42 (v1 = v0 | ~ (uuc$(v2) = v1) | ~ (uuc$(v2) = v0)) & ! [v0: ZF_bool_fun$] :
% 71.37/10.42 ! [v1: ZF_bool_fun$] : ! [v2: ZF_set$] : (v1 = v0 | ~ (uua$(v2) = v1) | ~
% 71.37/10.42 (uua$(v2) = v0)) & ! [v0: B_b_prod_bool_fun$] : ! [v1: B_b_prod_bool_fun$]
% 71.37/10.42 : ! [v2: B_b_prod_set$] : (v1 = v0 | ~ (uuh$(v2) = v1) | ~ (uuh$(v2) = v0))
% 71.37/10.42 & ! [v0: ZF_ZF_prod_bool_fun$] : ! [v1: ZF_ZF_prod_bool_fun$] : ! [v2:
% 71.37/10.42 ZF_ZF_prod_set$] : (v1 = v0 | ~ (uug$(v2) = v1) | ~ (uug$(v2) = v0)) & !
% 71.37/10.42 [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v1:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$] : ! [v2:
% 71.37/10.42 A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$] : (v1 = v0 | ~
% 71.37/10.42 (uui$(v2) = v1) | ~ (uui$(v2) = v0))
% 71.37/10.42
% 71.37/10.42 Further assumptions not needed in the proof:
% 71.37/10.42 --------------------------------------------
% 71.37/10.42 axiom0, axiom1, axiom10, axiom100, axiom101, axiom102, axiom103, axiom104,
% 71.37/10.42 axiom105, axiom106, axiom107, axiom108, axiom109, axiom11, axiom110, axiom111,
% 71.37/10.42 axiom112, axiom113, axiom114, axiom115, axiom116, axiom117, axiom118, axiom119,
% 71.37/10.42 axiom12, axiom120, axiom121, axiom122, axiom123, axiom124, axiom125, axiom126,
% 71.37/10.42 axiom127, axiom128, axiom129, axiom13, axiom130, axiom131, axiom132, axiom133,
% 71.37/10.42 axiom134, axiom135, axiom136, axiom137, axiom138, axiom139, axiom14, axiom140,
% 71.37/10.42 axiom141, axiom142, axiom144, axiom145, axiom146, axiom147, axiom148, axiom149,
% 71.37/10.42 axiom15, axiom150, axiom151, axiom152, axiom153, axiom154, axiom155, axiom156,
% 71.37/10.42 axiom157, axiom158, axiom159, axiom16, axiom160, axiom161, axiom162, axiom163,
% 71.37/10.42 axiom164, axiom165, axiom166, axiom167, axiom168, axiom169, axiom17, axiom170,
% 71.37/10.42 axiom171, axiom172, axiom173, axiom174, axiom175, axiom176, axiom177, axiom178,
% 71.37/10.42 axiom179, axiom18, axiom180, axiom181, axiom182, axiom183, axiom184, axiom185,
% 71.37/10.42 axiom186, axiom187, axiom188, axiom189, axiom19, axiom190, axiom191, axiom192,
% 71.37/10.42 axiom193, axiom194, axiom195, axiom196, axiom197, axiom198, axiom199, axiom2,
% 71.37/10.42 axiom20, axiom200, axiom201, axiom202, axiom203, axiom204, axiom205, axiom206,
% 71.37/10.42 axiom207, axiom208, axiom209, axiom21, axiom210, axiom211, axiom212, axiom213,
% 71.37/10.42 axiom214, axiom215, axiom216, axiom217, axiom218, axiom219, axiom22, axiom220,
% 71.37/10.42 axiom221, axiom222, axiom223, axiom224, axiom225, axiom226, axiom227, axiom228,
% 71.37/10.42 axiom229, axiom23, axiom230, axiom231, axiom232, axiom233, axiom234, axiom235,
% 71.37/10.42 axiom236, axiom237, axiom238, axiom239, axiom24, axiom240, axiom241, axiom242,
% 71.37/10.42 axiom243, axiom244, axiom245, axiom246, axiom247, axiom248, axiom249, axiom25,
% 71.37/10.42 axiom250, axiom251, axiom252, axiom253, axiom254, axiom255, axiom256, axiom257,
% 71.37/10.42 axiom258, axiom259, axiom26, axiom260, axiom261, axiom262, axiom263, axiom264,
% 71.37/10.42 axiom265, axiom266, axiom267, axiom268, axiom269, axiom270, axiom271, axiom272,
% 71.37/10.42 axiom273, axiom274, axiom275, axiom276, axiom277, axiom278, axiom279, axiom28,
% 71.37/10.42 axiom280, axiom281, axiom282, axiom283, axiom284, axiom285, axiom286, axiom287,
% 71.37/10.42 axiom288, axiom289, axiom29, axiom290, axiom291, axiom292, axiom293, axiom294,
% 71.37/10.42 axiom295, axiom296, axiom297, axiom298, axiom299, axiom3, axiom300, axiom301,
% 71.37/10.42 axiom302, axiom303, axiom304, axiom305, axiom306, axiom307, axiom308, axiom309,
% 71.37/10.42 axiom310, axiom311, axiom312, axiom313, axiom314, axiom315, axiom316, axiom317,
% 71.37/10.42 axiom318, axiom319, axiom320, axiom321, axiom322, axiom323, axiom324, axiom325,
% 71.37/10.42 axiom326, axiom327, axiom328, axiom329, axiom33, axiom330, axiom331, axiom332,
% 71.37/10.42 axiom333, axiom334, axiom335, axiom336, axiom337, axiom338, axiom339, axiom34,
% 71.37/10.42 axiom340, axiom341, axiom342, axiom343, axiom344, axiom345, axiom346, axiom347,
% 71.37/10.42 axiom348, axiom349, axiom35, axiom350, axiom351, axiom352, axiom353, axiom354,
% 71.37/10.42 axiom355, axiom356, axiom357, axiom358, axiom359, axiom360, axiom361, axiom362,
% 71.37/10.42 axiom363, axiom364, axiom365, axiom366, axiom367, axiom368, axiom369, axiom370,
% 71.37/10.42 axiom371, axiom372, axiom373, axiom374, axiom375, axiom376, axiom377, axiom378,
% 71.37/10.42 axiom379, axiom38, axiom380, axiom381, axiom382, axiom383, axiom384, axiom385,
% 71.37/10.42 axiom386, axiom387, axiom388, axiom389, axiom39, axiom390, axiom391, axiom392,
% 71.37/10.42 axiom393, axiom394, axiom395, axiom396, axiom397, axiom398, axiom399, axiom4,
% 71.37/10.42 axiom40, axiom400, axiom401, axiom402, axiom403, axiom404, axiom405, axiom406,
% 71.37/10.42 axiom407, axiom408, axiom409, axiom41, axiom410, axiom411, axiom412, axiom413,
% 71.37/10.42 axiom414, axiom415, axiom416, axiom417, axiom418, axiom419, axiom42, axiom420,
% 71.37/10.42 axiom421, axiom422, axiom423, axiom424, axiom425, axiom426, axiom427, axiom428,
% 71.37/10.42 axiom429, axiom43, axiom430, axiom431, axiom432, axiom433, axiom434, axiom435,
% 71.37/10.42 axiom436, axiom437, axiom438, axiom439, axiom44, axiom440, axiom441, axiom442,
% 71.37/10.42 axiom443, axiom444, axiom445, axiom446, axiom447, axiom448, axiom449, axiom45,
% 71.37/10.42 axiom450, axiom451, axiom452, axiom453, axiom454, axiom455, axiom456, axiom457,
% 71.37/10.42 axiom458, axiom459, axiom46, axiom460, axiom461, axiom462, axiom463, axiom464,
% 71.37/10.42 axiom465, axiom466, axiom467, axiom468, axiom469, axiom47, axiom470, axiom471,
% 71.37/10.42 axiom472, axiom473, axiom474, axiom475, axiom476, axiom477, axiom478, axiom479,
% 71.37/10.42 axiom48, axiom480, axiom481, axiom482, axiom483, axiom484, axiom485, axiom486,
% 71.37/10.42 axiom487, axiom488, axiom489, axiom49, axiom490, axiom491, axiom492, axiom493,
% 71.37/10.42 axiom494, axiom495, axiom496, axiom497, axiom498, axiom499, axiom5, axiom50,
% 71.37/10.42 axiom500, axiom501, axiom502, axiom503, axiom504, axiom505, axiom506, axiom507,
% 71.37/10.42 axiom508, axiom509, axiom51, axiom510, axiom511, axiom512, axiom513, axiom514,
% 71.37/10.42 axiom515, axiom516, axiom517, axiom518, axiom519, axiom52, axiom520, axiom521,
% 71.37/10.42 axiom522, axiom523, axiom524, axiom525, axiom526, axiom527, axiom528, axiom529,
% 71.37/10.42 axiom53, axiom530, axiom531, axiom532, axiom533, axiom534, axiom535, axiom536,
% 71.37/10.42 axiom537, axiom538, axiom539, axiom54, axiom540, axiom541, axiom542, axiom543,
% 71.37/10.42 axiom544, axiom545, axiom546, axiom547, axiom548, axiom549, axiom55, axiom550,
% 71.37/10.42 axiom551, axiom552, axiom554, axiom555, axiom556, axiom557, axiom558, axiom559,
% 71.37/10.42 axiom56, axiom560, axiom561, axiom562, axiom563, axiom564, axiom565, axiom566,
% 71.37/10.42 axiom567, axiom568, axiom569, axiom57, axiom570, axiom571, axiom572, axiom573,
% 71.37/10.42 axiom574, axiom575, axiom576, axiom577, axiom578, axiom579, axiom58, axiom580,
% 71.37/10.42 axiom581, axiom582, axiom583, axiom584, axiom585, axiom586, axiom587, axiom588,
% 71.37/10.42 axiom59, axiom6, axiom60, axiom61, axiom62, axiom63, axiom64, axiom65, axiom66,
% 71.37/10.42 axiom67, axiom68, axiom69, axiom7, axiom70, axiom71, axiom72, axiom73, axiom74,
% 71.37/10.42 axiom76, axiom77, axiom78, axiom79, axiom8, axiom80, axiom81, axiom82, axiom83,
% 71.37/10.42 axiom84, axiom85, axiom86, axiom87, axiom88, axiom89, axiom9, axiom90, axiom91,
% 71.37/10.42 axiom92, axiom93, axiom94, axiom95, axiom96, axiom97, axiom98, axiom99
% 71.37/10.42
% 71.37/10.42 Those formulas are unsatisfiable:
% 71.37/10.42 ---------------------------------
% 71.37/10.42
% 71.37/10.42 Begin of proof
% 71.37/10.42 |
% 71.37/10.42 | ALPHA: (axiom30) implies:
% 71.37/10.43 | (1) ? [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v1:
% 71.37/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (yFtorNT$(c$,
% 71.37/10.43 | f$) = v0 & fun_app$r(nTCod$, v0) = v1 & fun_app$a(functor$, v1) = 0
% 71.37/10.43 | & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v0) &
% 71.37/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1))
% 71.37/10.43 |
% 71.37/10.43 | ALPHA: (axiom31) implies:
% 71.37/10.43 | (2) ? [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v1:
% 71.37/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (yFtorNT$(c$,
% 71.37/10.43 | f$) = v0 & fun_app$r(nTDom$, v0) = v1 & fun_app$a(functor$, v1) = 0
% 71.37/10.43 | & A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v0) &
% 71.37/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1))
% 71.37/10.43 |
% 71.37/10.43 | ALPHA: (axiom32) implies:
% 71.37/10.43 | (3) ? [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v1:
% 71.37/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v2:
% 71.37/10.43 | A_b_b_c_LSCategory_ext_Category_ext$] : (fun_app$s(oppositeCategory$,
% 71.37/10.43 | c$) = v2 & yFtorNT$(c$, f$) = v0 & fun_app$r(nTCod$, v0) = v1 &
% 71.45/10.43 | functor_abbrev$(v1, v2, set$) = 0 &
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v0) &
% 71.45/10.43 | A_b_b_c_LSCategory_ext_Category_ext$(v2) &
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1))
% 71.45/10.43 |
% 71.45/10.43 | ALPHA: (axiom36) implies:
% 71.45/10.43 | (4) ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1:
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ( ~
% 71.45/10.43 | (fun_app$r(nTDom$, v0) = v1) | ~
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v0) | ? [v2:
% 71.45/10.43 | A_b_b_c_LSCategory_ext_Category_ext$] : (nTCatDom$(v0) = v2 &
% 71.45/10.43 | catDom$(v1) = v2 & A_b_b_c_LSCategory_ext_Category_ext$(v2)))
% 71.45/10.43 |
% 71.45/10.43 | ALPHA: (axiom37) implies:
% 71.45/10.43 | (5) ? [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v1:
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v2:
% 71.45/10.43 | A_b_b_c_LSCategory_ext_Category_ext$] : (fun_app$s(oppositeCategory$,
% 71.45/10.43 | c$) = v2 & yFtorNT$(c$, f$) = v0 & fun_app$r(nTDom$, v0) = v1 &
% 71.45/10.43 | functor_abbrev$(v1, v2, set$) = 0 &
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v0) &
% 71.45/10.43 | A_b_b_c_LSCategory_ext_Category_ext$(v2) &
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1))
% 71.45/10.43 |
% 71.45/10.43 | ALPHA: (axiom75) implies:
% 71.45/10.43 | (6) ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 71.45/10.43 | A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 71.45/10.43 | ZF_ZF_unit_Category_ext$] : ( ~ (functor_abbrev$(v0, v1, v2) = 0) |
% 71.45/10.43 | ~ ZF_ZF_unit_Category_ext$(v2) | ~
% 71.45/10.43 | A_b_b_c_LSCategory_ext_Category_ext$(v1) | ~
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0) |
% 71.45/10.43 | (catCod$(v0) = v2 & catDom$(v0) = v1 & fun_app$a(functor$, v0) = 0))
% 71.45/10.43 |
% 71.45/10.43 | ALPHA: (axiom143) implies:
% 71.45/10.43 | (7) ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v1:
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2:
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ( ~
% 71.45/10.43 | (fun_app$r(nTDom$, v1) = v2) | ~ (fun_app$r(nTDom$, v0) = v2) | ~
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v1) | ~
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v0) | ? [v3:
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v4:
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v5:
% 71.45/10.43 | A_b_b_c_LSCategory_ext_Category_ext$] : ? [v6: A_set$] : ? [v7:
% 71.45/10.43 | A_ZF_fun$] : ? [v8: A_ZF_fun$] : ? [v9:
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v10:
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (obj$a(v5)
% 71.45/10.43 | = v6 & makeNT$(v1) = v10 & makeNT$(v0) = v9 & fun_app$r(nTCod$, v1)
% 71.45/10.43 | = v4 & fun_app$r(nTCod$, v0) = v3 & nTCatDom$(v0) = v5 &
% 71.45/10.43 | natTransMap$(v1) = v8 & natTransMap$(v0) = v7 & A_ZF_fun$(v8) &
% 71.45/10.43 | A_ZF_fun$(v7) & A_set$(v6) &
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v10) &
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v9) &
% 71.45/10.43 | A_b_b_c_LSCategory_ext_Category_ext$(v5) &
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v4) &
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v3) & ( ~ (v4 =
% 71.45/10.43 | v3) | v10 = v9 | ? [v11: A$] : ? [v12: ZF$] : ? [v13: ZF$] :
% 71.45/10.43 | ( ~ (v13 = v12) & fun_app$n(v8, v11) = v13 & fun_app$n(v7, v11) =
% 71.45/10.43 | v12 & member$i(v11, v6) = 0 & ZF$(v13) & ZF$(v12) & A$(v11)))))
% 71.45/10.43 |
% 71.45/10.43 | ALPHA: (axiom553) implies:
% 71.45/10.43 | (8) ZF_ZF_unit_Category_ext$(set$)
% 71.45/10.43 |
% 71.45/10.43 | ALPHA: (conjecture27) implies:
% 71.45/10.43 | (9) ? [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v1:
% 71.45/10.43 | A_b_b_c_LSCategory_ext_Category_ext$] : ? [v2:
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v3:
% 71.45/10.43 | A_b_b_c_LSCategory_ext_Category_ext$] : ( ~ (v3 = v1) & yFtorNT$(c$,
% 71.45/10.43 | f$) = v0 & fun_app$r(nTCod$, v0) = v2 & nTCatDom$(v0) = v1 &
% 71.45/10.43 | catDom$(v2) = v3 &
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v0) &
% 71.45/10.43 | A_b_b_c_LSCategory_ext_Category_ext$(v3) &
% 71.45/10.43 | A_b_b_c_LSCategory_ext_Category_ext$(v1) &
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v2))
% 71.45/10.43 |
% 71.45/10.43 | ALPHA: (function-axioms) implies:
% 71.45/10.43 | (10) ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 71.45/10.43 | A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : (v1 = v0 | ~
% 71.45/10.43 | (catDom$(v2) = v1) | ~ (catDom$(v2) = v0))
% 71.45/10.43 | (11) ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 71.45/10.43 | A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (v1 = v0 |
% 71.45/10.43 | ~ (nTCatDom$(v2) = v1) | ~ (nTCatDom$(v2) = v0))
% 71.45/10.43 | (12) ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v1:
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ! [v2:
% 71.45/10.43 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v3:
% 71.45/10.43 | 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$]
% 71.45/10.43 | : (v1 = v0 | ~ (fun_app$r(v3, v2) = v1) | ~ (fun_app$r(v3, v2) =
% 71.45/10.43 | v0))
% 71.45/10.43 | (13) ! [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : !
% 71.45/10.43 | [v1: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ! [v2:
% 71.45/10.43 | B$] : ! [v3: A_b_b_c_LSCategory_ext_Category_ext$] : (v1 = v0 | ~
% 71.45/10.43 | (yFtorNT$(v3, v2) = v1) | ~ (yFtorNT$(v3, v2) = v0))
% 71.45/10.44 | (14) ! [v0: A_b_b_c_LSCategory_ext_Category_ext$] : ! [v1:
% 71.45/10.44 | A_b_b_c_LSCategory_ext_Category_ext$] : ! [v2:
% 71.45/10.44 | A_b_b_c_LSCategory_ext_Category_ext$] : ! [v3:
% 71.45/10.44 | A_b_b_c_LSCategory_ext_Category_ext_a_b_b_c_LSCategory_ext_Category_ext_fun$]
% 71.45/10.44 | : (v1 = v0 | ~ (fun_app$s(v3, v2) = v1) | ~ (fun_app$s(v3, v2) =
% 71.45/10.44 | v0))
% 71.45/10.44 |
% 71.45/10.44 | DELTA: instantiating (2) with fresh symbols all_697_0, all_697_1 gives:
% 71.45/10.44 | (15) yFtorNT$(c$, f$) = all_697_1 & fun_app$r(nTDom$, all_697_1) =
% 71.45/10.44 | all_697_0 & fun_app$a(functor$, all_697_0) = 0 &
% 71.45/10.44 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(all_697_1) &
% 71.45/10.44 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_697_0)
% 71.45/10.44 |
% 71.45/10.44 | ALPHA: (15) implies:
% 71.45/10.44 | (16) fun_app$r(nTDom$, all_697_1) = all_697_0
% 71.45/10.44 | (17) yFtorNT$(c$, f$) = all_697_1
% 71.45/10.44 |
% 71.45/10.44 | DELTA: instantiating (1) with fresh symbols all_699_0, all_699_1 gives:
% 71.45/10.44 | (18) yFtorNT$(c$, f$) = all_699_1 & fun_app$r(nTCod$, all_699_1) =
% 71.45/10.44 | all_699_0 & fun_app$a(functor$, all_699_0) = 0 &
% 71.45/10.44 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(all_699_1) &
% 71.45/10.44 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_699_0)
% 71.45/10.44 |
% 71.45/10.44 | ALPHA: (18) implies:
% 71.45/10.44 | (19) A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(all_699_1)
% 71.45/10.44 | (20) fun_app$r(nTCod$, all_699_1) = all_699_0
% 71.45/10.44 | (21) yFtorNT$(c$, f$) = all_699_1
% 71.45/10.44 |
% 71.45/10.44 | DELTA: instantiating (5) with fresh symbols all_704_0, all_704_1, all_704_2
% 71.45/10.44 | gives:
% 71.45/10.44 | (22) fun_app$s(oppositeCategory$, c$) = all_704_0 & yFtorNT$(c$, f$) =
% 71.45/10.44 | all_704_2 & fun_app$r(nTDom$, all_704_2) = all_704_1 &
% 71.45/10.44 | functor_abbrev$(all_704_1, all_704_0, set$) = 0 &
% 71.45/10.44 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(all_704_2) &
% 71.45/10.44 | A_b_b_c_LSCategory_ext_Category_ext$(all_704_0) &
% 71.45/10.44 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_704_1)
% 71.45/10.44 |
% 71.45/10.44 | ALPHA: (22) implies:
% 71.45/10.44 | (23) A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_704_1)
% 71.45/10.44 | (24) functor_abbrev$(all_704_1, all_704_0, set$) = 0
% 71.45/10.44 | (25) fun_app$r(nTDom$, all_704_2) = all_704_1
% 71.45/10.44 | (26) yFtorNT$(c$, f$) = all_704_2
% 71.45/10.44 | (27) fun_app$s(oppositeCategory$, c$) = all_704_0
% 71.45/10.44 |
% 71.45/10.44 | DELTA: instantiating (3) with fresh symbols all_706_0, all_706_1, all_706_2
% 71.45/10.44 | gives:
% 71.45/10.44 | (28) fun_app$s(oppositeCategory$, c$) = all_706_0 & yFtorNT$(c$, f$) =
% 71.45/10.44 | all_706_2 & fun_app$r(nTCod$, all_706_2) = all_706_1 &
% 71.45/10.44 | functor_abbrev$(all_706_1, all_706_0, set$) = 0 &
% 71.45/10.44 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(all_706_2) &
% 71.45/10.44 | A_b_b_c_LSCategory_ext_Category_ext$(all_706_0) &
% 71.45/10.44 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_706_1)
% 71.45/10.44 |
% 71.45/10.44 | ALPHA: (28) implies:
% 71.45/10.44 | (29) A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_706_1)
% 71.45/10.44 | (30) A_b_b_c_LSCategory_ext_Category_ext$(all_706_0)
% 71.45/10.44 | (31) functor_abbrev$(all_706_1, all_706_0, set$) = 0
% 71.45/10.44 | (32) fun_app$r(nTCod$, all_706_2) = all_706_1
% 71.45/10.44 | (33) yFtorNT$(c$, f$) = all_706_2
% 71.45/10.44 | (34) fun_app$s(oppositeCategory$, c$) = all_706_0
% 71.45/10.44 |
% 71.45/10.44 | DELTA: instantiating (9) with fresh symbols all_710_0, all_710_1, all_710_2,
% 71.45/10.44 | all_710_3 gives:
% 71.45/10.44 | (35) ~ (all_710_0 = all_710_2) & yFtorNT$(c$, f$) = all_710_3 &
% 71.45/10.44 | fun_app$r(nTCod$, all_710_3) = all_710_1 & nTCatDom$(all_710_3) =
% 71.45/10.44 | all_710_2 & catDom$(all_710_1) = all_710_0 &
% 71.45/10.44 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(all_710_3) &
% 71.45/10.44 | A_b_b_c_LSCategory_ext_Category_ext$(all_710_0) &
% 71.45/10.44 | A_b_b_c_LSCategory_ext_Category_ext$(all_710_2) &
% 71.45/10.44 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_710_1)
% 71.45/10.44 |
% 71.45/10.44 | ALPHA: (35) implies:
% 71.45/10.44 | (36) ~ (all_710_0 = all_710_2)
% 71.45/10.44 | (37) catDom$(all_710_1) = all_710_0
% 71.45/10.44 | (38) nTCatDom$(all_710_3) = all_710_2
% 71.45/10.44 | (39) fun_app$r(nTCod$, all_710_3) = all_710_1
% 71.45/10.44 | (40) yFtorNT$(c$, f$) = all_710_3
% 71.45/10.44 |
% 71.45/10.44 | GROUND_INST: instantiating (13) with all_704_2, all_706_2, f$, c$, simplifying
% 71.45/10.44 | with (26), (33) gives:
% 71.45/10.44 | (41) all_706_2 = all_704_2
% 71.45/10.44 |
% 71.45/10.44 | GROUND_INST: instantiating (13) with all_699_1, all_706_2, f$, c$, simplifying
% 71.45/10.44 | with (21), (33) gives:
% 71.45/10.44 | (42) all_706_2 = all_699_1
% 71.45/10.44 |
% 71.45/10.44 | GROUND_INST: instantiating (13) with all_706_2, all_710_3, f$, c$, simplifying
% 71.45/10.44 | with (33), (40) gives:
% 71.45/10.44 | (43) all_710_3 = all_706_2
% 71.45/10.44 |
% 71.45/10.44 | GROUND_INST: instantiating (13) with all_697_1, all_710_3, f$, c$, simplifying
% 71.45/10.44 | with (17), (40) gives:
% 71.45/10.44 | (44) all_710_3 = all_697_1
% 71.45/10.44 |
% 71.45/10.44 | GROUND_INST: instantiating (14) with all_704_0, all_706_0, c$,
% 71.45/10.44 | oppositeCategory$, simplifying with (27), (34) gives:
% 71.45/10.44 | (45) all_706_0 = all_704_0
% 71.45/10.44 |
% 71.45/10.44 | COMBINE_EQS: (43), (44) imply:
% 71.45/10.44 | (46) all_706_2 = all_697_1
% 71.45/10.44 |
% 71.45/10.44 | SIMP: (46) implies:
% 71.45/10.44 | (47) all_706_2 = all_697_1
% 71.45/10.44 |
% 71.45/10.44 | COMBINE_EQS: (41), (42) imply:
% 71.45/10.44 | (48) all_704_2 = all_699_1
% 71.45/10.44 |
% 71.45/10.44 | COMBINE_EQS: (41), (47) imply:
% 71.45/10.44 | (49) all_704_2 = all_697_1
% 71.45/10.44 |
% 71.45/10.44 | COMBINE_EQS: (48), (49) imply:
% 71.45/10.45 | (50) all_699_1 = all_697_1
% 71.45/10.45 |
% 71.45/10.45 | REDUCE: (39), (44) imply:
% 71.45/10.45 | (51) fun_app$r(nTCod$, all_697_1) = all_710_1
% 71.45/10.45 |
% 71.45/10.45 | REDUCE: (32), (47) imply:
% 71.45/10.45 | (52) fun_app$r(nTCod$, all_697_1) = all_706_1
% 71.45/10.45 |
% 71.45/10.45 | REDUCE: (20), (50) imply:
% 71.45/10.45 | (53) fun_app$r(nTCod$, all_697_1) = all_699_0
% 71.45/10.45 |
% 71.45/10.45 | REDUCE: (25), (49) imply:
% 71.45/10.45 | (54) fun_app$r(nTDom$, all_697_1) = all_704_1
% 71.45/10.45 |
% 71.45/10.45 | REDUCE: (38), (44) imply:
% 71.45/10.45 | (55) nTCatDom$(all_697_1) = all_710_2
% 71.45/10.45 |
% 71.45/10.45 | REDUCE: (31), (45) imply:
% 71.45/10.45 | (56) functor_abbrev$(all_706_1, all_704_0, set$) = 0
% 71.45/10.45 |
% 71.45/10.45 | REDUCE: (19), (50) imply:
% 71.45/10.45 | (57) A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(all_697_1)
% 71.45/10.45 |
% 71.45/10.45 | REDUCE: (30), (45) imply:
% 71.45/10.45 | (58) A_b_b_c_LSCategory_ext_Category_ext$(all_704_0)
% 71.45/10.45 |
% 71.45/10.45 | GROUND_INST: instantiating (12) with all_697_0, all_704_1, all_697_1, nTDom$,
% 71.45/10.45 | simplifying with (16), (54) gives:
% 71.45/10.45 | (59) all_704_1 = all_697_0
% 71.45/10.45 |
% 71.45/10.45 | GROUND_INST: instantiating (12) with all_706_1, all_710_1, all_697_1, nTCod$,
% 71.45/10.45 | simplifying with (51), (52) gives:
% 71.45/10.45 | (60) all_710_1 = all_706_1
% 71.45/10.45 |
% 71.45/10.45 | GROUND_INST: instantiating (12) with all_699_0, all_710_1, all_697_1, nTCod$,
% 71.45/10.45 | simplifying with (51), (53) gives:
% 71.45/10.45 | (61) all_710_1 = all_699_0
% 71.45/10.45 |
% 71.45/10.45 | COMBINE_EQS: (60), (61) imply:
% 71.45/10.45 | (62) all_706_1 = all_699_0
% 71.45/10.45 |
% 71.45/10.45 | SIMP: (62) implies:
% 71.45/10.45 | (63) all_706_1 = all_699_0
% 71.45/10.45 |
% 71.45/10.45 | REDUCE: (37), (61) imply:
% 71.45/10.45 | (64) catDom$(all_699_0) = all_710_0
% 71.45/10.45 |
% 71.45/10.45 | REDUCE: (56), (63) imply:
% 71.45/10.45 | (65) functor_abbrev$(all_699_0, all_704_0, set$) = 0
% 71.45/10.45 |
% 71.45/10.45 | REDUCE: (24), (59) imply:
% 71.45/10.45 | (66) functor_abbrev$(all_697_0, all_704_0, set$) = 0
% 71.45/10.45 |
% 71.45/10.45 | REDUCE: (29), (63) imply:
% 71.45/10.45 | (67) A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_699_0)
% 71.45/10.45 |
% 71.45/10.45 | REDUCE: (23), (59) imply:
% 71.45/10.45 | (68) A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_697_0)
% 71.45/10.45 |
% 71.45/10.45 | GROUND_INST: instantiating (6) with all_697_0, all_704_0, set$, simplifying
% 71.45/10.45 | with (8), (58), (66), (68) gives:
% 71.45/10.45 | (69) catCod$(all_697_0) = set$ & catDom$(all_697_0) = all_704_0 &
% 71.45/10.45 | fun_app$a(functor$, all_697_0) = 0
% 71.45/10.45 |
% 71.45/10.45 | ALPHA: (69) implies:
% 71.45/10.45 | (70) catDom$(all_697_0) = all_704_0
% 71.45/10.45 |
% 71.45/10.45 | GROUND_INST: instantiating (6) with all_699_0, all_704_0, set$, simplifying
% 71.45/10.45 | with (8), (58), (65), (67) gives:
% 71.45/10.45 | (71) catCod$(all_699_0) = set$ & catDom$(all_699_0) = all_704_0 &
% 71.45/10.45 | fun_app$a(functor$, all_699_0) = 0
% 71.45/10.45 |
% 71.45/10.45 | ALPHA: (71) implies:
% 71.45/10.45 | (72) catDom$(all_699_0) = all_704_0
% 71.45/10.45 |
% 71.45/10.45 | GROUND_INST: instantiating (7) with all_697_1, all_697_1, all_697_0,
% 71.45/10.45 | simplifying with (16), (57) gives:
% 71.45/10.45 | (73) ? [v0: A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v1:
% 71.45/10.45 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$] : ? [v2:
% 71.45/10.45 | A_b_b_c_LSCategory_ext_Category_ext$] : ? [v3: A_set$] : ? [v4:
% 71.45/10.45 | A_ZF_fun$] : ? [v5: A_ZF_fun$] : ? [v6:
% 71.45/10.45 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : ? [v7:
% 71.45/10.45 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$] : (obj$a(v2) =
% 71.45/10.45 | v3 & makeNT$(all_697_1) = v7 & makeNT$(all_697_1) = v6 &
% 71.45/10.45 | fun_app$r(nTCod$, all_697_1) = v1 & fun_app$r(nTCod$, all_697_1) =
% 71.45/10.45 | v0 & nTCatDom$(all_697_1) = v2 & natTransMap$(all_697_1) = v5 &
% 71.45/10.45 | natTransMap$(all_697_1) = v4 & A_ZF_fun$(v5) & A_ZF_fun$(v4) &
% 71.45/10.45 | A_set$(v3) &
% 71.45/10.45 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v7) &
% 71.45/10.45 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(v6) &
% 71.45/10.45 | A_b_b_c_LSCategory_ext_Category_ext$(v2) &
% 71.45/10.45 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v1) &
% 71.45/10.45 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(v0) & ( ~ (v1 =
% 71.45/10.45 | v0) | v7 = v6 | ? [v8: A$] : ? [v9: ZF$] : ? [v10: ZF$] : ( ~
% 71.45/10.45 | (v10 = v9) & fun_app$n(v5, v8) = v10 & fun_app$n(v4, v8) = v9 &
% 71.45/10.45 | member$i(v8, v3) = 0 & ZF$(v10) & ZF$(v9) & A$(v8))))
% 71.45/10.45 |
% 71.45/10.45 | GROUND_INST: instantiating (4) with all_697_1, all_697_0, simplifying with
% 71.45/10.45 | (16), (57) gives:
% 71.45/10.45 | (74) ? [v0: A_b_b_c_LSCategory_ext_Category_ext$] : (nTCatDom$(all_697_1)
% 71.45/10.45 | = v0 & catDom$(all_697_0) = v0 &
% 71.45/10.45 | A_b_b_c_LSCategory_ext_Category_ext$(v0))
% 71.45/10.45 |
% 71.45/10.45 | DELTA: instantiating (74) with fresh symbol all_841_0 gives:
% 71.45/10.45 | (75) nTCatDom$(all_697_1) = all_841_0 & catDom$(all_697_0) = all_841_0 &
% 71.45/10.45 | A_b_b_c_LSCategory_ext_Category_ext$(all_841_0)
% 71.45/10.45 |
% 71.45/10.45 | ALPHA: (75) implies:
% 71.45/10.45 | (76) catDom$(all_697_0) = all_841_0
% 71.45/10.45 | (77) nTCatDom$(all_697_1) = all_841_0
% 71.45/10.45 |
% 71.45/10.45 | DELTA: instantiating (73) with fresh symbols all_869_0, all_869_1, all_869_2,
% 71.45/10.45 | all_869_3, all_869_4, all_869_5, all_869_6, all_869_7 gives:
% 71.45/10.45 | (78) obj$a(all_869_5) = all_869_4 & makeNT$(all_697_1) = all_869_0 &
% 71.45/10.45 | makeNT$(all_697_1) = all_869_1 & fun_app$r(nTCod$, all_697_1) =
% 71.45/10.45 | all_869_6 & fun_app$r(nTCod$, all_697_1) = all_869_7 &
% 71.45/10.45 | nTCatDom$(all_697_1) = all_869_5 & natTransMap$(all_697_1) = all_869_2
% 71.45/10.45 | & natTransMap$(all_697_1) = all_869_3 & A_ZF_fun$(all_869_2) &
% 71.45/10.45 | A_ZF_fun$(all_869_3) & A_set$(all_869_4) &
% 71.45/10.45 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(all_869_0) &
% 71.45/10.45 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$(all_869_1) &
% 71.45/10.45 | A_b_b_c_LSCategory_ext_Category_ext$(all_869_5) &
% 71.45/10.45 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_869_6) &
% 71.45/10.45 | A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$(all_869_7) & ( ~
% 71.45/10.45 | (all_869_6 = all_869_7) | all_869_0 = all_869_1 | ? [v0: A$] : ?
% 71.45/10.45 | [v1: ZF$] : ? [v2: ZF$] : ( ~ (v2 = v1) & fun_app$n(all_869_2, v0)
% 71.45/10.45 | = v2 & fun_app$n(all_869_3, v0) = v1 & member$i(v0, all_869_4) = 0
% 71.45/10.45 | & ZF$(v2) & ZF$(v1) & A$(v0)))
% 71.45/10.45 |
% 71.45/10.45 | ALPHA: (78) implies:
% 71.45/10.45 | (79) nTCatDom$(all_697_1) = all_869_5
% 71.45/10.45 |
% 71.45/10.45 | GROUND_INST: instantiating (10) with all_704_0, all_841_0, all_697_0,
% 71.45/10.45 | simplifying with (70), (76) gives:
% 71.45/10.45 | (80) all_841_0 = all_704_0
% 71.45/10.45 |
% 71.45/10.45 | GROUND_INST: instantiating (10) with all_710_0, all_704_0, all_699_0,
% 71.45/10.45 | simplifying with (64), (72) gives:
% 71.45/10.45 | (81) all_710_0 = all_704_0
% 71.45/10.45 |
% 71.45/10.45 | GROUND_INST: instantiating (11) with all_710_2, all_869_5, all_697_1,
% 71.45/10.45 | simplifying with (55), (79) gives:
% 71.45/10.45 | (82) all_869_5 = all_710_2
% 71.45/10.45 |
% 71.45/10.45 | GROUND_INST: instantiating (11) with all_841_0, all_869_5, all_697_1,
% 71.45/10.45 | simplifying with (77), (79) gives:
% 71.45/10.45 | (83) all_869_5 = all_841_0
% 71.45/10.45 |
% 71.45/10.45 | COMBINE_EQS: (82), (83) imply:
% 71.45/10.45 | (84) all_841_0 = all_710_2
% 71.45/10.45 |
% 71.45/10.45 | SIMP: (84) implies:
% 71.45/10.46 | (85) all_841_0 = all_710_2
% 71.45/10.46 |
% 71.45/10.46 | COMBINE_EQS: (80), (85) imply:
% 71.45/10.46 | (86) all_710_2 = all_704_0
% 71.45/10.46 |
% 71.45/10.46 | REDUCE: (36), (81), (86) imply:
% 71.45/10.46 | (87) $false
% 71.45/10.46 |
% 71.45/10.46 | CLOSE: (87) is inconsistent.
% 71.45/10.46 |
% 71.45/10.46 End of proof
% 71.45/10.46 % SZS output end Proof for theBenchmark
% 71.45/10.46
% 71.45/10.46 9831ms
%------------------------------------------------------------------------------