TSTP Solution File: ITP301_1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 03:33:21 EDT 2023
% Result : Theorem 0.69s 1.10s
% Output : Proof 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.24 % Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.12/0.25 % Command : do_cvc5 %s %d
% 0.25/0.46 % Computer : n028.cluster.edu
% 0.25/0.46 % Model : x86_64 x86_64
% 0.25/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.46 % Memory : 8042.1875MB
% 0.25/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.25/0.46 % CPULimit : 300
% 0.25/0.46 % WCLimit : 300
% 0.25/0.46 % DateTime : Sun Aug 27 10:35:23 EDT 2023
% 0.25/0.46 % CPUTime :
% 0.32/0.71 %----Proving TF0_ARI
% 0.69/1.10 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.RUNttQ2Kji/cvc5---1.0.5_25055.p...
% 0.69/1.10 ------- get file name : TPTP file name is ITP001_1
% 0.69/1.10 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25055.smt2...
% 0.69/1.10 --- Run --finite-model-find --decision=internal at 15...
% 0.69/1.10 % SZS status Theorem for ITP001_1
% 0.69/1.10 % SZS output start Proof for ITP001_1
% 0.69/1.10 (
% 0.69/1.10 (let ((_let_1 (|tptp.'elem$'| |tptp.'empty$'|))) (let ((_let_2 (= |tptp.'is_Elem_of$'| (|tptp.'collect$'| |tptp.'uux$'|)))) (let ((_let_3 (|tptp.'category_ext$a'| (|tptp.'collect$d'| |tptp.'uuo$'|) (|tptp.'collect$d'| |tptp.'isZFfun$'|) |tptp.'zFfunDom$'| |tptp.'zFfunCod$'| |tptp.'uup$'| |tptp.'zFfunComp$'| |tptp.'unity$'|))) (let ((_let_4 (= |tptp.'set$a'| _let_3))) (let ((_let_5 (= |tptp.'set$'| (|tptp.'makeCat$'| |tptp.'set$a'|)))) (let ((_let_6 (|tptp.'obj$a'| |tptp.'c$'|))) (let ((_let_7 (|tptp.'homFtor$'| |tptp.'c$'| |tptp.'x$'|))) (let ((_let_8 (|tptp.'fun_app$q'| (|tptp.'cod$'| |tptp.'c$'|) |tptp.'f$'|))) (let ((_let_9 (|tptp.'homSet$'| |tptp.'c$'| |tptp.'x$'| _let_8))) (let ((_let_10 (|tptp.'fun_app$q'| (|tptp.'dom$'| |tptp.'c$'|) |tptp.'f$'|))) (let ((_let_11 (|tptp.'homSet$'| |tptp.'c$'| |tptp.'x$'| _let_10))) (let ((_let_12 (|tptp.'fun_app$n'| (|tptp.'homFtorMap$'| |tptp.'c$'| |tptp.'x$'|) |tptp.'f$'|))) (let ((_let_13 (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| |tptp.'set$'| _let_12 _let_11) _let_9))) (let ((_let_14 (|tptp.'fun_app$n'| (|tptp.'mapM$'| _let_7) |tptp.'f$'|))) (let ((_let_15 (= _let_14 _let_12))) (let ((_let_16 (|tptp.'mapO$'| _let_7 |tptp.'z$'|))) (let ((_let_17 (= _let_16 (|tptp.'homSet$'| |tptp.'c$'| |tptp.'x$'| |tptp.'z$'|)))) (let ((_let_18 (|tptp.'mapO$'| _let_7 |tptp.'y$'|))) (let ((_let_19 (= _let_18 (|tptp.'homSet$'| |tptp.'c$'| |tptp.'x$'| |tptp.'y$'|)))) (let ((_let_20 (= _let_8 |tptp.'y$'|))) (let ((_let_21 (= _let_10 |tptp.'z$'|))) (let ((_let_22 (not (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| |tptp.'set$'| _let_14 _let_16) _let_18)))) (let ((_let_23 (|tptp.'mapO$'| _let_7 _let_8))) (let ((_let_24 (|tptp.'mapO$'| _let_7 _let_10))) (let ((_let_25 (|tptp.'makeCat$'| _let_3))) (let ((_let_26 (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| _let_25 _let_14 _let_24) _let_23))) (let ((_let_27 (= _let_9 _let_23))) (let ((_let_28 (= _let_11 _let_24))) (let ((_let_29 (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| _let_25 _let_12 _let_11) _let_9))) (let ((_let_30 (SYMM (ASSUME :args (_let_21))))) (let ((_let_31 (SYMM (ASSUME :args (_let_20))))) (let ((_let_32 (AND_INTRO (ASSUME :args (_let_2)) (ASSUME :args (_let_4)) (ASSUME :args (_let_5)) _let_31 _let_30))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO _let_32 :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (AND_INTRO _let_31 _let_30))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO _let_34 :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO _let_34 :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (ASSUME :args (_let_15)))) (let ((_let_38 (not _let_29))) (let ((_let_39 (not _let_15))) (let ((_let_40 (not _let_28))) (let ((_let_41 (not _let_27))) (let ((_let_42 (not _let_26))) (let ((_let_43 (and _let_15 _let_27 _let_28 _let_42))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_43)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_33 _let_37 _let_36 _let_35) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG (REFL :args (_let_25)) (SYMM _let_37) (SYMM (SYMM _let_36)) :args (APPLY_UF |tptp.'mapsTo$a'|)) (SYMM (SYMM _let_35)) :args (APPLY_UF |tptp.'fun_app$b'|)) (FALSE_INTRO _let_33))) :args (_let_42 _let_15 _let_28 _let_27))) :args (_let_15 _let_27 _let_28 _let_42))) :args (true _let_43)) (CONG (REFL :args (_let_39)) (REFL :args (_let_41)) (REFL :args (_let_40)) (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_26))) (REFL :args (_let_38)) :args (or))) :args ((or _let_26 _let_41 _let_40 _let_39 _let_38))) (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO _let_32 :args (_let_13 SB_DEFAULT SBA_FIXPOINT))) _let_37 _let_36 _let_35 _let_33 :args (false false _let_29 false _let_15 false _let_28 false _let_27 true _let_26)) :args ((forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'fun_app$'| |tptp.'uup$'| A__questionmark_v0) (|tptp.'zFfun$'| A__questionmark_v0 A__questionmark_v0 |tptp.'uul$'|))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|)) (= (|tptp.'fun_app$a'| |tptp.'uux$'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (and (= A__questionmark_v0 (|tptp.'pair$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod$'|)) (= (|tptp.'fun_app$a'| (|tptp.'uud$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'B_b_prod_set$'|) (A__questionmark_v1 |tptp.'B_b_prod$'|)) (= (|tptp.'fun_app$c'| (|tptp.'uui$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$a'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'uub$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_set_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$d'| (|tptp.'uuc$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$c'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun_set$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|)) (= (|tptp.'fun_app$e'| (|tptp.'uue$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$d'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'B_ZF_fun_set$'|) (A__questionmark_v1 |tptp.'B_ZF_fun$'|)) (= (|tptp.'fun_app$f'| (|tptp.'uuf$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$e'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'B_a_fun_set$'|) (A__questionmark_v1 |tptp.'B_a_fun$'|)) (= (|tptp.'fun_app$g'| (|tptp.'uug$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$f'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_b_fun_set$'|) (A__questionmark_v1 |tptp.'A_b_fun$'|)) (= (|tptp.'fun_app$h'| (|tptp.'uuh$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$g'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'B_set$'|) (A__questionmark_v1 |tptp.'B$'|)) (= (|tptp.'fun_app$i'| (|tptp.'uua$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$h'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_set$'|) (A__questionmark_v1 |tptp.'A$'|)) (= (|tptp.'fun_app$j'| (|tptp.'uu$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$i'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'uuy$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'uva$'| A__questionmark_v0) A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'app$'| A__questionmark_v1) A__questionmark_v2)) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod$'|)) (= (|tptp.'fun_app$a'| (|tptp.'uuu$'| A__questionmark_v0) A__questionmark_v1) (exists ((A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (and (= A__questionmark_v1 (|tptp.'pair$'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B_b_prod$'|)) (= (|tptp.'fun_app$c'| (|tptp.'uus$'| A__questionmark_v0) A__questionmark_v1) (exists ((A__questionmark_v2 |tptp.'B$'|) (A__questionmark_v3 |tptp.'B$'|)) (and (= A__questionmark_v1 (|tptp.'pair$a'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_bool_fun$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'fun_app$'| (|tptp.'uvc$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (and (=> _let_2 (= _let_1 A__questionmark_v2)) (=> (not _let_2) (= _let_1 (|tptp.'eps$'| (|tptp.'uvb$'| A__questionmark_v0 A__questionmark_v1)))))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'uuv$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'restrict$'| (|tptp.'case_prod$'| (|tptp.'comp$'| A__questionmark_v0)) (|tptp.'collect$'| (|tptp.'uuu$'| A__questionmark_v0)) (|tptp.'pair$'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'uut$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'restrict$a'| (|tptp.'case_prod$a'| (|tptp.'comp$a'| A__questionmark_v0)) (|tptp.'collect$a'| (|tptp.'uus$'| A__questionmark_v0)) (|tptp.'pair$a'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'uun$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'uum$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'catCod$'| A__questionmark_v0))) (= (|tptp.'fun_app$b'| (|tptp.'uuq$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) (|tptp.'obj$'| _let_1)) (= (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'id$'| (|tptp.'catDom$'| A__questionmark_v0)) A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_1) A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'B$'|)) (= (|tptp.'fun_app$i'| (|tptp.'uur$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (and (|tptp.'member$h'| A__questionmark_v2 (|tptp.'mor$'| A__questionmark_v0)) (= (|tptp.'fun_app$n'| (|tptp.'mor2ZF$'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_bool_fun$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'uvb$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) A__questionmark_v0) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'uuz$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'opair$'| A__questionmark_v1) A__questionmark_v2)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$'| (|tptp.'uuj$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$n'| (|tptp.'mor2ZF$'| A__questionmark_v0) (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) (|tptp.'fun_app$p'| (|tptp.'zF2mor$'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'uuk$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunApp$'| A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunApp$'| A__questionmark_v0) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'uuw$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (exists ((A__questionmark_v4 |tptp.'B$'|)) (and (= A__questionmark_v3 (|tptp.'fun_app$n'| (|tptp.'mor2ZF$'| A__questionmark_v0) A__questionmark_v4)) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 A__questionmark_v4 A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'fun_app$'| |tptp.'uul$'| A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| |tptp.'uuo$'| A__questionmark_v0) true)) _let_22 _let_21 _let_20 (|tptp.'lSCategory$'| |tptp.'c$'|) _let_19 _let_17 _let_15 _let_13 (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| |tptp.'c$'| |tptp.'f$'| |tptp.'z$'|) |tptp.'y$'|) (|tptp.'member$i'| |tptp.'x$'| _let_6) (|tptp.'preFunctor$'| _let_7) (|tptp.'member$h'| |tptp.'f$'| (|tptp.'mor$'| |tptp.'c$'|)) (|tptp.'member$i'| |tptp.'z$'| _let_6) (|tptp.'member$i'| |tptp.'y$'| _let_6) (forall ((A__questionmark_v0 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v3 |tptp.'ZF$'|) (A__questionmark_v4 |tptp.'ZF$'|) (A__questionmark_v5 |tptp.'ZF$'|)) (=> (and (|tptp.'functor_abbrev$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v1 A__questionmark_v3 A__questionmark_v4) A__questionmark_v5)) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v2 (|tptp.'fun_app$p'| (|tptp.'mapM$a'| A__questionmark_v0) A__questionmark_v3) (|tptp.'mapO$a'| A__questionmark_v0 A__questionmark_v4)) (|tptp.'mapO$a'| A__questionmark_v0 A__questionmark_v5)))) (forall ((A__questionmark_v0 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v3 |tptp.'B$'|) (A__questionmark_v4 |tptp.'A$'|) (A__questionmark_v5 |tptp.'A$'|)) (=> (and (|tptp.'functor_abbrev$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v1 A__questionmark_v3 A__questionmark_v4) A__questionmark_v5)) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v2 (|tptp.'fun_app$l'| (|tptp.'mapM$b'| A__questionmark_v0) A__questionmark_v3) (|tptp.'mapO$b'| A__questionmark_v0 A__questionmark_v4)) (|tptp.'mapO$b'| A__questionmark_v0 A__questionmark_v5)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v3 |tptp.'ZF$'|) (A__questionmark_v4 |tptp.'ZF$'|) (A__questionmark_v5 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'mapO$c'| A__questionmark_v0))) (=> (and (|tptp.'functor_abbrev$b'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v1 A__questionmark_v3 A__questionmark_v4) A__questionmark_v5)) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v2 (|tptp.'fun_app$'| (|tptp.'mapM$c'| A__questionmark_v0) A__questionmark_v3) (|tptp.'fun_app$'| _let_1 A__questionmark_v4)) (|tptp.'fun_app$'| _let_1 A__questionmark_v5))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v3 |tptp.'B$'|) (A__questionmark_v4 |tptp.'A$'|) (A__questionmark_v5 |tptp.'A$'|)) (=> (and (|tptp.'functor_abbrev$c'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v1 A__questionmark_v3 A__questionmark_v4) A__questionmark_v5)) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v2 (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v0) A__questionmark_v3) (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v4)) (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v5)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|)) (= (|tptp.'homFtor$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'makeFtor$'| (|tptp.'homFtor$'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| |tptp.'set$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v1)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunApp$'| A__questionmark_v0) A__questionmark_v3)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'obj$'| |tptp.'set$'|))) (|tptp.'category$'| |tptp.'set$'|) (forall ((A__questionmark_v0 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'ZF_b_fun$'|) (A__questionmark_v3 |tptp.'ZF_b_fun_ZF_b_fun_fun$'|) (A__questionmark_v4 |tptp.'ZF_b_fun_ZF_b_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'mapM$a'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'ZF_b_fun$'|)) (=> (= A__questionmark_v2 A__questionmark_v5) (= (|tptp.'fun_app$r'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$r'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'mapM_update$'| A__questionmark_v3 A__questionmark_v0) (|tptp.'mapM_update$'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'B_b_fun$'|) (A__questionmark_v3 |tptp.'B_b_fun_b_b_fun_fun$'|) (A__questionmark_v4 |tptp.'B_b_fun_b_b_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'mapM$b'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'B_b_fun$'|)) (=> (= A__questionmark_v2 A__questionmark_v5) (= (|tptp.'fun_app$s'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$s'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'mapM_update$a'| A__questionmark_v3 A__questionmark_v0) (|tptp.'mapM_update$a'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun_ZF_ZF_fun_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun_ZF_ZF_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'mapM$c'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'ZF_ZF_fun$'|)) (=> (= A__questionmark_v2 A__questionmark_v5) (= (|tptp.'fun_app$t'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$t'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'mapM_update$b'| A__questionmark_v3 A__questionmark_v0) (|tptp.'mapM_update$b'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'B_ZF_fun$'|) (A__questionmark_v3 |tptp.'B_ZF_fun_b_ZF_fun_fun$'|) (A__questionmark_v4 |tptp.'B_ZF_fun_b_ZF_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'mapM$'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'B_ZF_fun$'|)) (=> (= A__questionmark_v2 A__questionmark_v5) (= (|tptp.'fun_app$u'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$u'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'mapM_update$c'| A__questionmark_v3 A__questionmark_v0) (|tptp.'mapM_update$c'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'ZF_b_fun$'|) (A__questionmark_v3 |tptp.'ZF_b_fun_ZF_b_fun_fun$'|) (A__questionmark_v4 |tptp.'ZF_b_fun_ZF_b_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'mapM$a'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'ZF_b_fun$'|)) (=> (= A__questionmark_v5 A__questionmark_v2) (= (|tptp.'fun_app$r'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$r'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'mapM_update$'| A__questionmark_v3 A__questionmark_v0) (|tptp.'mapM_update$'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'B_b_fun$'|) (A__questionmark_v3 |tptp.'B_b_fun_b_b_fun_fun$'|) (A__questionmark_v4 |tptp.'B_b_fun_b_b_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'mapM$b'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'B_b_fun$'|)) (=> (= A__questionmark_v5 A__questionmark_v2) (= (|tptp.'fun_app$s'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$s'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'mapM_update$a'| A__questionmark_v3 A__questionmark_v0) (|tptp.'mapM_update$a'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun_ZF_ZF_fun_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun_ZF_ZF_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'mapM$c'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'ZF_ZF_fun$'|)) (=> (= A__questionmark_v5 A__questionmark_v2) (= (|tptp.'fun_app$t'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$t'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'mapM_update$b'| A__questionmark_v3 A__questionmark_v0) (|tptp.'mapM_update$b'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'B_ZF_fun$'|) (A__questionmark_v3 |tptp.'B_ZF_fun_b_ZF_fun_fun$'|) (A__questionmark_v4 |tptp.'B_ZF_fun_b_ZF_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'mapM$'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'B_ZF_fun$'|)) (=> (= A__questionmark_v5 A__questionmark_v2) (= (|tptp.'fun_app$u'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$u'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'mapM_update$c'| A__questionmark_v3 A__questionmark_v0) (|tptp.'mapM_update$c'| A__questionmark_v4 A__questionmark_v1)))) _let_5 (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'B$'|)) (=> (and (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| A__questionmark_v0)) (|tptp.'member$h'| A__questionmark_v2 (|tptp.'mor$'| A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| |tptp.'set$a'| (|tptp.'fun_app$n'| (|tptp.'homFtorMap$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'homSet$'| A__questionmark_v0 A__questionmark_v1 (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v2))) (|tptp.'homSet$'| A__questionmark_v0 A__questionmark_v1 (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|)) (=> (|tptp.'preFunctor$a'| A__questionmark_v0) (|tptp.'preFunctor$a'| (|tptp.'makeFtor$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|)) (=> (|tptp.'preFunctor$b'| A__questionmark_v0) (|tptp.'preFunctor$b'| (|tptp.'makeFtor$b'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (=> (|tptp.'preFunctor$'| A__questionmark_v0) (|tptp.'preFunctor$'| (|tptp.'makeFtor$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'B$'|)) (=> (and (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| A__questionmark_v0)) (|tptp.'member$h'| A__questionmark_v2 (|tptp.'mor$'| A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| |tptp.'set$'| (|tptp.'fun_app$n'| (|tptp.'homFtorMap$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'homSet$'| A__questionmark_v0 A__questionmark_v1 (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v2))) (|tptp.'homSet$'| A__questionmark_v0 A__questionmark_v1 (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'A$'|)) (let ((_let_1 (|tptp.'homFtor$'| A__questionmark_v0 A__questionmark_v1))) (let ((_let_2 (|tptp.'obj$a'| A__questionmark_v0))) (=> (and (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'preFunctor$'| _let_1) (|tptp.'member$i'| A__questionmark_v1 _let_2) (|tptp.'member$i'| A__questionmark_v2 _let_2)) (= (|tptp.'mapO$'| _let_1 A__questionmark_v2) (|tptp.'homSet$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'B$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|)) (=> (and (|tptp.'member$h'| A__questionmark_v0 (|tptp.'mor$'| A__questionmark_v1)) (= (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v1) A__questionmark_v0) A__questionmark_v2) (= (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v1) A__questionmark_v0) A__questionmark_v3)) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v1 A__questionmark_v0 A__questionmark_v2) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'mor$a'| A__questionmark_v1)) (= (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v1) A__questionmark_v0) A__questionmark_v2) (= (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v1) A__questionmark_v0) A__questionmark_v3)) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v1 A__questionmark_v0 A__questionmark_v2) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|)) (= (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (and (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| A__questionmark_v0)) (= (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'mor$a'| A__questionmark_v0)) (= (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|)) (=> (and (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (=> (and (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| A__questionmark_v0)) (= (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v3)) false)) false)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (=> (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'mor$a'| A__questionmark_v0)) (= (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v3)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| A__questionmark_v0))) (|tptp.'member$i'| (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'obj$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'mor$a'| A__questionmark_v0))) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'obj$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| A__questionmark_v0))) (|tptp.'member$i'| (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'obj$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'mor$a'| A__questionmark_v0))) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'obj$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'B$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (=> (|tptp.'member$h'| A__questionmark_v0 (|tptp.'mor$'| A__questionmark_v1)) (= (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$q'| (|tptp.'cod$'| (|tptp.'makeCat$a'| A__questionmark_v1)) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'mor$a'| A__questionmark_v1)) (= (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'cod$a'| (|tptp.'makeCat$'| A__questionmark_v1)) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'B$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (=> (|tptp.'member$h'| A__questionmark_v0 (|tptp.'mor$'| A__questionmark_v1)) (= (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$q'| (|tptp.'dom$'| (|tptp.'makeCat$a'| A__questionmark_v1)) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'mor$a'| A__questionmark_v1)) (= (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'dom$a'| (|tptp.'makeCat$'| A__questionmark_v1)) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) (|tptp.'member$i'| A__questionmark_v3 (|tptp.'obj$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) (|tptp.'obj$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) (|tptp.'member$i'| A__questionmark_v2 (|tptp.'obj$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) (|tptp.'obj$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'A$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'category$a'| A__questionmark_v1) (|tptp.'member$i'| A__questionmark_v2 (|tptp.'obj$a'| A__questionmark_v1))) (|tptp.'preFunctor$c'| (|tptp.'constFunctor$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'A$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'category$a'| A__questionmark_v1) (|tptp.'member$i'| A__questionmark_v2 (|tptp.'obj$a'| A__questionmark_v1))) (|tptp.'preFunctor$b'| (|tptp.'constFunctor$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'category$'| A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) (|tptp.'obj$'| A__questionmark_v1))) (|tptp.'preFunctor$a'| (|tptp.'constFunctor$b'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'category$'| A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) (|tptp.'obj$'| A__questionmark_v1))) (|tptp.'preFunctor$'| (|tptp.'constFunctor$c'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'B$'|)) (=> (and (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| A__questionmark_v0)) (|tptp.'member$h'| A__questionmark_v2 (|tptp.'mor$'| A__questionmark_v0))) (= (|tptp.'fun_app$'| (|tptp.'cod$a'| |tptp.'set$'|) (|tptp.'fun_app$n'| (|tptp.'homFtorMap$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (|tptp.'homSet$'| A__questionmark_v0 A__questionmark_v1 (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (=> (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'category$a'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'B$'|)) (=> (and (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| A__questionmark_v0)) (|tptp.'member$h'| A__questionmark_v2 (|tptp.'mor$'| A__questionmark_v0))) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$n'| (|tptp.'homFtorMap$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (|tptp.'mor$a'| |tptp.'set$'|)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'B$'|)) (=> (and (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| A__questionmark_v0)) (|tptp.'member$h'| A__questionmark_v2 (|tptp.'mor$'| A__questionmark_v0))) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$n'| (|tptp.'homFtorMap$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (|tptp.'mor$a'| |tptp.'set$a'|)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (= (|tptp.'obj$a'| (|tptp.'makeCat$a'| A__questionmark_v0)) (|tptp.'obj$a'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (= (|tptp.'obj$'| (|tptp.'makeCat$'| A__questionmark_v0)) (|tptp.'obj$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (= (|tptp.'mor$'| (|tptp.'makeCat$a'| A__questionmark_v0)) (|tptp.'mor$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (= (|tptp.'mor$a'| (|tptp.'makeCat$'| A__questionmark_v0)) (|tptp.'mor$a'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|)) (=> (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| (|tptp.'makeCat$a'| A__questionmark_v0) A__questionmark_v1 A__questionmark_v2) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| (|tptp.'makeCat$'| A__questionmark_v0) A__questionmark_v1 A__questionmark_v2) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'B$'|)) (=> (and (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| A__questionmark_v0)) (|tptp.'member$h'| A__questionmark_v2 (|tptp.'mor$'| A__questionmark_v0))) (= (|tptp.'fun_app$'| (|tptp.'dom$a'| |tptp.'set$'|) (|tptp.'fun_app$n'| (|tptp.'homFtorMap$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (|tptp.'homSet$'| A__questionmark_v0 A__questionmark_v1 (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'constFunctor$d'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'makeFtor$'| (|tptp.'constFunctor$c'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'constFunctor$e'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'makeFtor$a'| (|tptp.'constFunctor$b'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'A$'|)) (= (|tptp.'constFunctor$f'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'makeFtor$b'| (|tptp.'constFunctor$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|)) (=> (and (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$n'| (|tptp.'mor2ZF$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'homSet$'| A__questionmark_v0 A__questionmark_v2 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'A_bool_fun$'|)) (= (|tptp.'member$i'| A__questionmark_v0 (|tptp.'collect$b'| A__questionmark_v1)) (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'B$'|) (A__questionmark_v1 |tptp.'B_bool_fun$'|)) (= (|tptp.'member$h'| A__questionmark_v0 (|tptp.'collect$c'| A__questionmark_v1)) (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_bool_fun$'|)) (= (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'collect$d'| A__questionmark_v1)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set_bool_fun$'|)) (= (|tptp.'member$c'| A__questionmark_v0 (|tptp.'collect$e'| A__questionmark_v1)) (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_bool_fun$'|)) (= (|tptp.'member$'| A__questionmark_v0 (|tptp.'collect$'| A__questionmark_v1)) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun_bool_fun$'|)) (= (|tptp.'member$d'| A__questionmark_v0 (|tptp.'collect$f'| A__questionmark_v1)) (|tptp.'fun_app$e'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'B_ZF_fun$'|) (A__questionmark_v1 |tptp.'B_ZF_fun_bool_fun$'|)) (= (|tptp.'member$e'| A__questionmark_v0 (|tptp.'collect$g'| A__questionmark_v1)) (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'B_a_fun$'|) (A__questionmark_v1 |tptp.'B_a_fun_bool_fun$'|)) (= (|tptp.'member$f'| A__questionmark_v0 (|tptp.'collect$h'| A__questionmark_v1)) (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_b_fun$'|) (A__questionmark_v1 |tptp.'A_b_fun_bool_fun$'|)) (= (|tptp.'member$g'| A__questionmark_v0 (|tptp.'collect$i'| A__questionmark_v1)) (|tptp.'fun_app$h'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'B_b_prod$'|) (A__questionmark_v1 |tptp.'B_b_prod_bool_fun$'|)) (= (|tptp.'member$a'| A__questionmark_v0 (|tptp.'collect$a'| A__questionmark_v1)) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_set$'|)) (= (|tptp.'collect$b'| (|tptp.'uu$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'B_set$'|)) (= (|tptp.'collect$c'| (|tptp.'uua$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|)) (= (|tptp.'collect$d'| (|tptp.'uub$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF_set_set$'|)) (= (|tptp.'collect$e'| (|tptp.'uuc$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'collect$'| (|tptp.'uud$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun_set$'|)) (= (|tptp.'collect$f'| (|tptp.'uue$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'B_ZF_fun_set$'|)) (= (|tptp.'collect$g'| (|tptp.'uuf$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'B_a_fun_set$'|)) (= (|tptp.'collect$h'| (|tptp.'uug$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_b_fun_set$'|)) (= (|tptp.'collect$i'| (|tptp.'uuh$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'B_b_prod_set$'|)) (= (|tptp.'collect$a'| (|tptp.'uui$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF_set_bool_fun$'|) (A__questionmark_v1 |tptp.'ZF_set_bool_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'ZF_set$'|)) (= (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v2))) (= (|tptp.'collect$e'| A__questionmark_v0) (|tptp.'collect$e'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_bool_fun$'|) (A__questionmark_v1 |tptp.'B_bool_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'B$'|)) (= (|tptp.'fun_app$i'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v2))) (= (|tptp.'collect$c'| A__questionmark_v0) (|tptp.'collect$c'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_bool_fun$'|) (A__questionmark_v1 |tptp.'A_bool_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A$'|)) (= (|tptp.'fun_app$j'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v2))) (= (|tptp.'collect$b'| A__questionmark_v0) (|tptp.'collect$b'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_b_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'B_b_prod_bool_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'B_b_prod$'|)) (= (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v2))) (= (|tptp.'collect$a'| A__questionmark_v0) (|tptp.'collect$a'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_bool_fun$'|) (A__questionmark_v1 |tptp.'ZF_bool_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (= (|tptp.'collect$d'| A__questionmark_v0) (|tptp.'collect$d'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'ZF_ZF_prod_bool_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'ZF_ZF_prod$'|)) (= (|tptp.'fun_app$a'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v2))) (= (|tptp.'collect$'| A__questionmark_v0) (|tptp.'collect$'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'A$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'category$a'| A__questionmark_v1) (|tptp.'member$i'| A__questionmark_v2 (|tptp.'obj$a'| A__questionmark_v1))) (|tptp.'functorM$'| (|tptp.'constFunctor$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'category$'| A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) (|tptp.'obj$'| A__questionmark_v1))) (|tptp.'functorM$a'| (|tptp.'constFunctor$c'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'A$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'category$a'| A__questionmark_v1) (|tptp.'member$i'| A__questionmark_v2 (|tptp.'obj$a'| A__questionmark_v1))) (|tptp.'functorM$b'| (|tptp.'constFunctor$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'category$'| A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) (|tptp.'obj$'| A__questionmark_v1))) (|tptp.'functorM$c'| (|tptp.'constFunctor$b'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (=> (|tptp.'category$a'| A__questionmark_v0) (|tptp.'preFunctor$c'| (|tptp.'identityFunctor$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (=> (|tptp.'category$'| A__questionmark_v0) (|tptp.'preFunctor$a'| (|tptp.'identityFunctor$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'fun_app$p'| (|tptp.'zF2mor$'| A__questionmark_v0) A__questionmark_v3))) (let ((_let_2 (|tptp.'obj$a'| A__questionmark_v0))) (=> (and (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 _let_2) (|tptp.'member$i'| A__questionmark_v2 _let_2) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) (|tptp.'homSet$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2))) (and (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 _let_1 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$n'| (|tptp.'mor2ZF$'| A__questionmark_v0) _let_1) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (=> (|tptp.'category_axioms$'| A__questionmark_v0) (|tptp.'category$a'| (|tptp.'makeCat$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (=> (|tptp.'category_axioms$a'| A__questionmark_v0) (|tptp.'category$'| (|tptp.'makeCat$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (and (|tptp.'functor_abbrev$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) (|tptp.'obj$'| A__questionmark_v1))) (= (|tptp.'fun_app$p'| (|tptp.'mapM$a'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v2) (|tptp.'mapO$a'| A__questionmark_v0 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v3 |tptp.'A$'|)) (=> (and (|tptp.'functor_abbrev$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$i'| A__questionmark_v3 (|tptp.'obj$a'| A__questionmark_v1))) (= (|tptp.'fun_app$l'| (|tptp.'mapM$b'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v2) (|tptp.'mapO$b'| A__questionmark_v0 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (and (|tptp.'functor_abbrev$b'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v3) (|tptp.'obj$'| A__questionmark_v1))) (= (|tptp.'fun_app$'| (|tptp.'mapM$c'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'mapO$c'| A__questionmark_v0) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v3 |tptp.'A$'|)) (=> (and (|tptp.'functor_abbrev$c'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$i'| A__questionmark_v3 (|tptp.'obj$a'| A__questionmark_v1))) (= (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v2) (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'preFunctor$a'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| (|tptp.'catDom$a'| A__questionmark_v0)))) (= (|tptp.'fun_app$'| (|tptp.'mapO$c'| (|tptp.'makeFtor$a'| A__questionmark_v0)) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'mapO$c'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A$'|)) (=> (and (|tptp.'preFunctor$c'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| (|tptp.'catDom$b'| A__questionmark_v0)))) (= (|tptp.'mapO$b'| (|tptp.'makeFtor$c'| A__questionmark_v0) A__questionmark_v1) (|tptp.'mapO$b'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'preFunctor$b'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| (|tptp.'catDom$c'| A__questionmark_v0)))) (= (|tptp.'mapO$a'| (|tptp.'makeFtor$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'mapO$a'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A$'|)) (=> (and (|tptp.'preFunctor$'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| (|tptp.'catDom$'| A__questionmark_v0)))) (= (|tptp.'mapO$'| (|tptp.'makeFtor$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mor$'| A__questionmark_v1))) (=> (and (|tptp.'member$h'| A__questionmark_v0 _let_1) (|tptp.'member$h'| A__questionmark_v2 _let_1) (= (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v1) A__questionmark_v2))) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'mor$a'| A__questionmark_v1))) (=> (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) _let_1) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) _let_1) (= (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v1) A__questionmark_v2))) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'B$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (and (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| A__questionmark_v0)) (|tptp.'member$h'| A__questionmark_v2 (|tptp.'mor$'| A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) (|tptp.'homSet$'| A__questionmark_v0 A__questionmark_v1 (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v2)))) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$n'| (|tptp.'mor2ZF$'| A__questionmark_v0) (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) (|tptp.'fun_app$p'| (|tptp.'zF2mor$'| A__questionmark_v0) A__questionmark_v3)) A__questionmark_v2))) (|tptp.'homSet$'| A__questionmark_v0 A__questionmark_v1 (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|) (A__questionmark_v3 |tptp.'B$'|)) (let ((_let_1 (|tptp.'comp$a'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$m'| _let_1 A__questionmark_v1))) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| _let_1 (|tptp.'fun_app$l'| _let_2 A__questionmark_v2)) A__questionmark_v3) (|tptp.'fun_app$l'| _let_2 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| _let_1 A__questionmark_v2) A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'comp$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$k'| _let_1 A__questionmark_v1))) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| _let_1 (|tptp.'fun_app$'| _let_2 A__questionmark_v2)) A__questionmark_v3) (|tptp.'fun_app$'| _let_2 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| _let_1 A__questionmark_v2) A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|) (A__questionmark_v3 |tptp.'B$'|)) (let ((_let_1 (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v1))) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$i'| _let_1 A__questionmark_v2) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$i'| _let_1 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1))) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| _let_1 A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$b'| _let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|) (A__questionmark_v3 |tptp.'B$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2)) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2)) A__questionmark_v3))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (let ((_let_1 (|tptp.'makeCat$a'| A__questionmark_v0))) (=> (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| _let_1 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| _let_1) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'makeCat$'| A__questionmark_v0))) (=> (|tptp.'fun_app$b'| (|tptp.'compDefined$'| _let_1 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| _let_1) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (=> (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| (|tptp.'makeCat$a'| A__questionmark_v0)) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| (|tptp.'makeCat$'| A__questionmark_v0)) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'A$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'B$'|)) (=> (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v1) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v3) A__questionmark_v1) A__questionmark_v3)))) (= (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v1) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v3) A__questionmark_v1) A__questionmark_v3)))) (= (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|) (A__questionmark_v3 |tptp.'B$'|)) (let ((_let_1 (|tptp.'id$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'comp$a'| A__questionmark_v0))) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| _let_2 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$o'| _let_1 (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v2))) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| _let_2 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$o'| _let_1 (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v2)))) (= A__questionmark_v1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'id$a'| A__questionmark_v0))) (let ((_let_2 (|tptp.'comp$'| A__questionmark_v0))) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| _let_2 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v0) A__questionmark_v2))) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| _let_2 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v0) A__questionmark_v2)))) (= A__questionmark_v1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|)) (let ((_let_1 (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v0) A__questionmark_v1))) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| A__questionmark_v0))) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) _let_1) _let_1) _let_1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v0) A__questionmark_v1))) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| A__questionmark_v0))) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) _let_1) _let_1) _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|)) (let ((_let_1 (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v0) A__questionmark_v1))) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| A__questionmark_v0))) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 _let_1) _let_1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v0) A__questionmark_v1))) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 _let_1) _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (|tptp.'member$h'| (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'mor$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2)) (|tptp.'mor$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (let ((_let_1 (|tptp.'cod$'| A__questionmark_v0))) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (= (|tptp.'fun_app$q'| _let_1 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$q'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'cod$a'| A__questionmark_v0))) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (= (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (let ((_let_1 (|tptp.'dom$'| A__questionmark_v0))) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (= (|tptp.'fun_app$q'| _let_1 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$q'| _let_1 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'dom$a'| A__questionmark_v0))) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (= (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| _let_1 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (=> (|tptp.'category$a'| A__questionmark_v0) (|tptp.'functorM$'| (|tptp.'identityFunctor$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (=> (|tptp.'category$'| A__questionmark_v0) (|tptp.'functorM$c'| (|tptp.'identityFunctor$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v3 |tptp.'ZF$'|) (A__questionmark_v4 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'mapM$c'| A__questionmark_v0))) (=> (and (|tptp.'functor_abbrev$b'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v4)) (= (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v2) (|tptp.'fun_app$'| _let_1 A__questionmark_v3)) (|tptp.'fun_app$'| _let_1 A__questionmark_v4)))))) (forall ((A__questionmark_v0 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v3 |tptp.'ZF$'|) (A__questionmark_v4 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'mapM$a'| A__questionmark_v0))) (=> (and (|tptp.'functor_abbrev$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v4)) (= (|tptp.'fun_app$p'| _let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v2) (|tptp.'fun_app$p'| _let_1 A__questionmark_v3)) (|tptp.'fun_app$p'| _let_1 A__questionmark_v4)))))) (forall ((A__questionmark_v0 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v3 |tptp.'B$'|) (A__questionmark_v4 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mapM$b'| A__questionmark_v0))) (=> (and (|tptp.'functor_abbrev$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v4)) (= (|tptp.'fun_app$l'| _let_1 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v2) (|tptp.'fun_app$l'| _let_1 A__questionmark_v3)) (|tptp.'fun_app$l'| _let_1 A__questionmark_v4)))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v3 |tptp.'B$'|) (A__questionmark_v4 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mapM$'| A__questionmark_v0))) (=> (and (|tptp.'functor_abbrev$c'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v4)) (= (|tptp.'fun_app$n'| _let_1 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v1) A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v2) (|tptp.'fun_app$n'| _let_1 A__questionmark_v3)) (|tptp.'fun_app$n'| _let_1 A__questionmark_v4)))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|) (A__questionmark_v4 |tptp.'B$'|) (A__questionmark_v5 |tptp.'A$'|)) (=> (and (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 A__questionmark_v4 A__questionmark_v3) A__questionmark_v5)) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v4))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|) (A__questionmark_v4 |tptp.'ZF$'|) (A__questionmark_v5 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 A__questionmark_v4 A__questionmark_v3) A__questionmark_v5)) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v4))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'B$'|)) (=> (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| A__questionmark_v0)) (|tptp.'member$i'| (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'obj$a'| A__questionmark_v0)))) (forall ((A__questionmark_v1 |tptp.'B$'|)) (=> (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| A__questionmark_v0)) (|tptp.'member$i'| (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'obj$a'| A__questionmark_v0)))) (forall ((A__questionmark_v1 |tptp.'A$'|)) (=> (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| A__questionmark_v0)) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v1 |tptp.'B$'|)) (=> (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| A__questionmark_v0)) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v0) (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v1))) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v1 |tptp.'B$'|)) (=> (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| A__questionmark_v0)) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v0) (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v1))) A__questionmark_v1))) (forall ((A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|) (A__questionmark_v3 |tptp.'B$'|)) (let ((_let_1 (|tptp.'comp$a'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$m'| _let_1 A__questionmark_v1))) (=> (and (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| _let_1 (|tptp.'fun_app$l'| _let_2 A__questionmark_v2)) A__questionmark_v3) (|tptp.'fun_app$l'| _let_2 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| _let_1 A__questionmark_v2) A__questionmark_v3))))))) (forall ((A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|) (A__questionmark_v4 |tptp.'B$'|) (A__questionmark_v5 |tptp.'A$'|)) (=> (and (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 A__questionmark_v4 A__questionmark_v3) A__questionmark_v5)) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v4) A__questionmark_v2) A__questionmark_v5)))) (|tptp.'category_axioms$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'mor$a'| A__questionmark_v0)) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'obj$'| A__questionmark_v0)))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'mor$a'| A__questionmark_v0)) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'obj$'| A__questionmark_v0)))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'mor$a'| A__questionmark_v0)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v0) A__questionmark_v1))) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'mor$a'| A__questionmark_v0)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v0) A__questionmark_v1))) A__questionmark_v1))) (forall ((A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'comp$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$k'| _let_1 A__questionmark_v1))) (=> (and (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| _let_1 (|tptp.'fun_app$'| _let_2 A__questionmark_v2)) A__questionmark_v3) (|tptp.'fun_app$'| _let_2 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| _let_1 A__questionmark_v2) A__questionmark_v3))))))) (forall ((A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|) (A__questionmark_v4 |tptp.'ZF$'|) (A__questionmark_v5 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 A__questionmark_v4 A__questionmark_v3) A__questionmark_v5)) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v4) A__questionmark_v2) A__questionmark_v5)))) (|tptp.'category_axioms$a'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (= (|tptp.'category_axioms$'| A__questionmark_v0) (and (forall ((A__questionmark_v1 |tptp.'B$'|)) (=> (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| A__questionmark_v0)) (|tptp.'member$i'| (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'obj$a'| A__questionmark_v0)))) (forall ((A__questionmark_v1 |tptp.'B$'|)) (=> (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| A__questionmark_v0)) (|tptp.'member$i'| (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'obj$a'| A__questionmark_v0)))) (forall ((A__questionmark_v1 |tptp.'A$'|)) (=> (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| A__questionmark_v0)) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v1 |tptp.'B$'|)) (=> (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| A__questionmark_v0)) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v0) (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v1))) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v1 |tptp.'B$'|)) (=> (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| A__questionmark_v0)) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v0) (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v1))) A__questionmark_v1))) (forall ((A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|) (A__questionmark_v3 |tptp.'B$'|)) (let ((_let_1 (|tptp.'comp$a'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$m'| _let_1 A__questionmark_v1))) (=> (and (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| _let_1 (|tptp.'fun_app$l'| _let_2 A__questionmark_v2)) A__questionmark_v3) (|tptp.'fun_app$l'| _let_2 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| _let_1 A__questionmark_v2) A__questionmark_v3))))))) (forall ((A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|) (A__questionmark_v4 |tptp.'B$'|) (A__questionmark_v5 |tptp.'A$'|)) (=> (and (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 A__questionmark_v4 A__questionmark_v3) A__questionmark_v5)) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v4) A__questionmark_v2) A__questionmark_v5)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (= (|tptp.'category_axioms$a'| A__questionmark_v0) (and (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'mor$a'| A__questionmark_v0)) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'obj$'| A__questionmark_v0)))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'mor$a'| A__questionmark_v0)) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'obj$'| A__questionmark_v0)))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'mor$a'| A__questionmark_v0)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v0) A__questionmark_v1))) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'mor$a'| A__questionmark_v0)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v0) A__questionmark_v1))) A__questionmark_v1))) (forall ((A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'comp$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$k'| _let_1 A__questionmark_v1))) (=> (and (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| _let_1 (|tptp.'fun_app$'| _let_2 A__questionmark_v2)) A__questionmark_v3) (|tptp.'fun_app$'| _let_2 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| _let_1 A__questionmark_v2) A__questionmark_v3))))))) (forall ((A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|) (A__questionmark_v4 |tptp.'ZF$'|) (A__questionmark_v5 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 A__questionmark_v4 A__questionmark_v3) A__questionmark_v5)) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v4) A__questionmark_v2) A__questionmark_v5)))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (= (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| (|tptp.'makeCat$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'compDefined$'| (|tptp.'makeCat$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| A__questionmark_v0))) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v0) (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v1))) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'mor$a'| A__questionmark_v0))) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v0) A__questionmark_v1))) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| A__questionmark_v0))) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v0) (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v1))) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'mor$a'| A__questionmark_v0))) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v0) A__questionmark_v1))) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|)) (=> (and (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| A__questionmark_v0))) (= (|tptp.'fun_app$p'| (|tptp.'zF2mor$'| A__questionmark_v0) (|tptp.'fun_app$n'| (|tptp.'mor2ZF$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v0) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|)) (let ((_let_1 (|tptp.'identityFunctor$'| A__questionmark_v0))) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| (|tptp.'catDom$b'| _let_1)))) (= (|tptp.'mapO$b'| _let_1 A__questionmark_v1) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'identityFunctor$a'| A__questionmark_v0))) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| (|tptp.'catDom$a'| _let_1)))) (= (|tptp.'fun_app$'| (|tptp.'mapO$c'| _let_1) A__questionmark_v1) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'A$'|)) (let ((_let_1 (|tptp.'id$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'obj$a'| A__questionmark_v0))) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 _let_2) (|tptp.'member$i'| A__questionmark_v2 _let_2) (= (|tptp.'fun_app$o'| _let_1 A__questionmark_v1) (|tptp.'fun_app$o'| _let_1 A__questionmark_v2))) (= A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'id$a'| A__questionmark_v0))) (let ((_let_2 (|tptp.'obj$'| A__questionmark_v0))) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) _let_2) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) _let_2) (= (|tptp.'fun_app$'| _let_1 A__questionmark_v1) (|tptp.'fun_app$'| _let_1 A__questionmark_v2))) (= A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|) (A__questionmark_v4 |tptp.'B$'|) (A__questionmark_v5 |tptp.'A$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 A__questionmark_v4 A__questionmark_v3) A__questionmark_v5)) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v4) A__questionmark_v2) A__questionmark_v5))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|) (A__questionmark_v4 |tptp.'ZF$'|) (A__questionmark_v5 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 A__questionmark_v4 A__questionmark_v3) A__questionmark_v5)) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v4) A__questionmark_v2) A__questionmark_v5))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|)) (=> (|tptp.'preFunctor$a'| A__questionmark_v0) (|tptp.'category$'| (|tptp.'catDom$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|)) (=> (|tptp.'preFunctor$c'| A__questionmark_v0) (|tptp.'category$a'| (|tptp.'catDom$b'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|)) (=> (|tptp.'preFunctor$b'| A__questionmark_v0) (|tptp.'category$'| (|tptp.'catDom$c'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (=> (|tptp.'preFunctor$'| A__questionmark_v0) (|tptp.'category$a'| (|tptp.'catDom$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (=> (|tptp.'member$i'| A__questionmark_v0 (|tptp.'obj$a'| A__questionmark_v1)) (= (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'id$'| (|tptp.'makeCat$a'| A__questionmark_v1)) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'obj$'| A__questionmark_v1)) (= (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'id$a'| (|tptp.'makeCat$'| A__questionmark_v1)) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (=> (|tptp.'category$a'| A__questionmark_v0) (|tptp.'category_axioms$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (=> (|tptp.'category$'| A__questionmark_v0) (|tptp.'category_axioms$a'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'B$'|) (A__questionmark_v3 |tptp.'B$'|)) (let ((_let_1 (|tptp.'homFtorMap$'| A__questionmark_v0 A__questionmark_v1))) (=> (and (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| A__questionmark_v0)) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| |tptp.'set$a'| (|tptp.'fun_app$n'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$n'| _let_1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|)) (=> (|tptp.'functorM$c'| A__questionmark_v0) (|tptp.'preFunctor$a'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|)) (=> (|tptp.'functorM$b'| A__questionmark_v0) (|tptp.'preFunctor$b'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (=> (|tptp.'functorM$a'| A__questionmark_v0) (|tptp.'preFunctor$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v3 |tptp.'ZF$'|) (A__questionmark_v4 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'mapM$a'| A__questionmark_v0))) (=> (and (|tptp.'functor_abbrev$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v2 (|tptp.'fun_app$p'| _let_1 A__questionmark_v3)) (|tptp.'fun_app$p'| _let_1 A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v3 |tptp.'B$'|) (A__questionmark_v4 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mapM$b'| A__questionmark_v0))) (=> (and (|tptp.'functor_abbrev$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v2 (|tptp.'fun_app$l'| _let_1 A__questionmark_v3)) (|tptp.'fun_app$l'| _let_1 A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v3 |tptp.'ZF$'|) (A__questionmark_v4 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'mapM$c'| A__questionmark_v0))) (=> (and (|tptp.'functor_abbrev$b'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v2 (|tptp.'fun_app$'| _let_1 A__questionmark_v3)) (|tptp.'fun_app$'| _let_1 A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v3 |tptp.'B$'|) (A__questionmark_v4 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mapM$'| A__questionmark_v0))) (=> (and (|tptp.'functor_abbrev$c'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v2 (|tptp.'fun_app$n'| _let_1 A__questionmark_v3)) (|tptp.'fun_app$n'| _let_1 A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'A$'|)) (let ((_let_1 (|tptp.'obj$a'| A__questionmark_v0))) (=> (and (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 _let_1) (|tptp.'member$i'| A__questionmark_v2 _let_1)) (= (|tptp.'fun_app$n'| (|tptp.'homFtorMap$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$'| (|tptp.'id$a'| |tptp.'set$'|) (|tptp.'homSet$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'A$'|)) (let ((_let_1 (|tptp.'obj$a'| A__questionmark_v0))) (=> (and (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 _let_1) (|tptp.'member$i'| A__questionmark_v2 _let_1)) (= (|tptp.'fun_app$n'| (|tptp.'homFtorMap$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$'| (|tptp.'id$a'| |tptp.'set$a'|) (|tptp.'homSet$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| A__questionmark_v0))) (|tptp.'member$h'| (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'mor$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| A__questionmark_v0))) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'mor$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| A__questionmark_v0))) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| A__questionmark_v0))) (= (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| A__questionmark_v0))) (= (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| A__questionmark_v0))) (= (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| A__questionmark_v0))) (= (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mor2ZF$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'mor$'| A__questionmark_v0))) (=> (and (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'member$h'| A__questionmark_v1 _let_2) (|tptp.'member$h'| A__questionmark_v2 _let_2) (= (|tptp.'fun_app$n'| _let_1 A__questionmark_v1) (|tptp.'fun_app$n'| _let_1 A__questionmark_v2))) (= A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'mor$a'| (|tptp.'catDom$a'| A__questionmark_v1))) (= (|tptp.'fun_app$'| (|tptp.'mapM$c'| (|tptp.'makeFtor$a'| A__questionmark_v1)) A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'mapM$c'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'B$'|) (A__questionmark_v1 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|)) (=> (|tptp.'member$h'| A__questionmark_v0 (|tptp.'mor$'| (|tptp.'catDom$b'| A__questionmark_v1))) (= (|tptp.'fun_app$l'| (|tptp.'mapM$b'| (|tptp.'makeFtor$c'| A__questionmark_v1)) A__questionmark_v0) (|tptp.'fun_app$l'| (|tptp.'mapM$b'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'mor$a'| (|tptp.'catDom$c'| A__questionmark_v1))) (= (|tptp.'fun_app$p'| (|tptp.'mapM$a'| (|tptp.'makeFtor$b'| A__questionmark_v1)) A__questionmark_v0) (|tptp.'fun_app$p'| (|tptp.'mapM$a'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'B$'|) (A__questionmark_v1 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (=> (|tptp.'member$h'| A__questionmark_v0 (|tptp.'mor$'| (|tptp.'catDom$'| A__questionmark_v1))) (= (|tptp.'fun_app$n'| (|tptp.'mapM$'| (|tptp.'makeFtor$'| A__questionmark_v1)) A__questionmark_v0) (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunApp$'| (|tptp.'fun_app$'| (|tptp.'id$a'| |tptp.'set$'|) A__questionmark_v1)) A__questionmark_v0) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mor$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (=> (and (|tptp.'member$h'| A__questionmark_v1 _let_1) (|tptp.'member$h'| A__questionmark_v2 _let_1) (= (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v2))) false)) false))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'mor$a'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (=> (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) _let_1) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) _let_1) (= (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v0) A__questionmark_v2))) false)) false))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mor$'| A__questionmark_v0))) (= (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (and (|tptp.'member$h'| A__questionmark_v1 _let_1) (|tptp.'member$h'| A__questionmark_v2 _let_1) (= (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'mor$a'| A__questionmark_v0))) (= (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) _let_1) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) _let_1) (= (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v0) A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (=> (and (= (|tptp.'obj$a'| A__questionmark_v0) (|tptp.'obj$a'| A__questionmark_v1)) (= (|tptp.'mor$'| A__questionmark_v0) (|tptp.'mor$'| A__questionmark_v1)) (= (|tptp.'dom$'| A__questionmark_v0) (|tptp.'dom$'| A__questionmark_v1)) (= (|tptp.'cod$'| A__questionmark_v0) (|tptp.'cod$'| A__questionmark_v1)) (= (|tptp.'id$'| A__questionmark_v0) (|tptp.'id$'| A__questionmark_v1)) (= (|tptp.'comp$a'| A__questionmark_v0) (|tptp.'comp$a'| A__questionmark_v1)) (= (|tptp.'mor2ZF$'| A__questionmark_v0) (|tptp.'mor2ZF$'| A__questionmark_v1)) (= (|tptp.'more$'| A__questionmark_v0) (|tptp.'more$'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (= (|tptp.'identityFunctor$b'| A__questionmark_v0) (|tptp.'makeFtor$a'| (|tptp.'identityFunctor$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (= (|tptp.'identityFunctor$c'| A__questionmark_v0) (|tptp.'makeFtor$c'| (|tptp.'identityFunctor$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (=> (and (= (|tptp.'obj$a'| A__questionmark_v0) (|tptp.'obj$a'| A__questionmark_v1)) (= (|tptp.'mor$'| A__questionmark_v0) (|tptp.'mor$'| A__questionmark_v1)) (= (|tptp.'dom$'| A__questionmark_v0) (|tptp.'dom$'| A__questionmark_v1)) (= (|tptp.'cod$'| A__questionmark_v0) (|tptp.'cod$'| A__questionmark_v1)) (= (|tptp.'id$'| A__questionmark_v0) (|tptp.'id$'| A__questionmark_v1)) (= (|tptp.'comp$a'| A__questionmark_v0) (|tptp.'comp$a'| A__questionmark_v1)) (= (|tptp.'more$a'| A__questionmark_v0) (|tptp.'more$a'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|)) (=> (and (= (|tptp.'obj$'| A__questionmark_v0) (|tptp.'obj$'| A__questionmark_v1)) (= (|tptp.'mor$a'| A__questionmark_v0) (|tptp.'mor$a'| A__questionmark_v1)) (= (|tptp.'dom$a'| A__questionmark_v0) (|tptp.'dom$a'| A__questionmark_v1)) (= (|tptp.'cod$a'| A__questionmark_v0) (|tptp.'cod$a'| A__questionmark_v1)) (= (|tptp.'id$a'| A__questionmark_v0) (|tptp.'id$a'| A__questionmark_v1)) (= (|tptp.'comp$'| A__questionmark_v0) (|tptp.'comp$'| A__questionmark_v1)) (= (|tptp.'more$b'| A__questionmark_v0) (|tptp.'more$b'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (let ((_let_1 (|tptp.'id$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'comp$a'| A__questionmark_v0))) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'inverse_rel$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (=> (and (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| _let_2 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$o'| _let_1 (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v1))) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| _let_2 A__questionmark_v2) A__questionmark_v1) (|tptp.'fun_app$o'| _let_1 (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v1)))) false)) false)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'id$a'| A__questionmark_v0))) (let ((_let_2 (|tptp.'comp$'| A__questionmark_v0))) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'inverse_rel$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (=> (and (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| _let_2 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v0) A__questionmark_v1))) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| _let_2 A__questionmark_v2) A__questionmark_v1) (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v0) A__questionmark_v1)))) false)) false)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (let ((_let_1 (|tptp.'id$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'comp$a'| A__questionmark_v0))) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| _let_2 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$o'| _let_1 (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v1))) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| _let_2 A__questionmark_v2) A__questionmark_v1) (|tptp.'fun_app$o'| _let_1 (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v1)))) (|tptp.'fun_app$i'| (|tptp.'inverse_rel$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'id$a'| A__questionmark_v0))) (let ((_let_2 (|tptp.'comp$'| A__questionmark_v0))) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| _let_2 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v0) A__questionmark_v1))) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| _let_2 A__questionmark_v2) A__questionmark_v1) (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v0) A__questionmark_v1)))) (|tptp.'fun_app$b'| (|tptp.'inverse_rel$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'mapM$c'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catDom$a'| A__questionmark_v0))) (=> (|tptp.'fun_app$b'| (|tptp.'compDefined$'| _let_2 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| _let_2) A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| (|tptp.'catCod$a'| A__questionmark_v0)) (|tptp.'fun_app$'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$'| _let_1 A__questionmark_v2))))))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| (|tptp.'catDom$a'| A__questionmark_v0))) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'catCod$a'| A__questionmark_v0))) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) (|tptp.'obj$'| _let_1)) (= (|tptp.'fun_app$'| (|tptp.'mapM$c'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'id$a'| (|tptp.'catDom$a'| A__questionmark_v0)) A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_1) A__questionmark_v2))))))) (|tptp.'category$'| (|tptp.'catDom$a'| A__questionmark_v0)) (|tptp.'category$'| (|tptp.'catCod$a'| A__questionmark_v0))) (|tptp.'preFunctor$a'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mapM$b'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catDom$b'| A__questionmark_v0))) (=> (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| _let_2 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$l'| _let_1 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| _let_2) A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| (|tptp.'catCod$b'| A__questionmark_v0)) (|tptp.'fun_app$l'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$l'| _let_1 A__questionmark_v2))))))) (forall ((A__questionmark_v1 |tptp.'A$'|)) (=> (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| (|tptp.'catDom$b'| A__questionmark_v0))) (exists ((A__questionmark_v2 |tptp.'A$'|)) (let ((_let_1 (|tptp.'catCod$b'| A__questionmark_v0))) (and (|tptp.'member$i'| A__questionmark_v2 (|tptp.'obj$a'| _let_1)) (= (|tptp.'fun_app$l'| (|tptp.'mapM$b'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'id$'| (|tptp.'catDom$b'| A__questionmark_v0)) A__questionmark_v1)) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_1) A__questionmark_v2))))))) (|tptp.'category$a'| (|tptp.'catDom$b'| A__questionmark_v0)) (|tptp.'category$a'| (|tptp.'catCod$b'| A__questionmark_v0))) (|tptp.'preFunctor$c'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'mapM$a'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catDom$c'| A__questionmark_v0))) (=> (|tptp.'fun_app$b'| (|tptp.'compDefined$'| _let_2 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$p'| _let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| _let_2) A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| (|tptp.'catCod$c'| A__questionmark_v0)) (|tptp.'fun_app$p'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$p'| _let_1 A__questionmark_v2))))))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| (|tptp.'catDom$c'| A__questionmark_v0))) (exists ((A__questionmark_v2 |tptp.'A$'|)) (let ((_let_1 (|tptp.'catCod$c'| A__questionmark_v0))) (and (|tptp.'member$i'| A__questionmark_v2 (|tptp.'obj$a'| _let_1)) (= (|tptp.'fun_app$p'| (|tptp.'mapM$a'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'id$a'| (|tptp.'catDom$c'| A__questionmark_v0)) A__questionmark_v1)) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_1) A__questionmark_v2))))))) (|tptp.'category$'| (|tptp.'catDom$c'| A__questionmark_v0)) (|tptp.'category$a'| (|tptp.'catCod$c'| A__questionmark_v0))) (|tptp.'preFunctor$b'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mapM$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catDom$'| A__questionmark_v0))) (=> (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| _let_2 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$n'| _let_1 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| _let_2) A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| (|tptp.'catCod$'| A__questionmark_v0)) (|tptp.'fun_app$n'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$n'| _let_1 A__questionmark_v2))))))) (forall ((A__questionmark_v1 |tptp.'A$'|)) (=> (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| (|tptp.'catDom$'| A__questionmark_v0))) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'catCod$'| A__questionmark_v0))) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) (|tptp.'obj$'| _let_1)) (= (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'id$'| (|tptp.'catDom$'| A__questionmark_v0)) A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_1) A__questionmark_v2))))))) (|tptp.'category$a'| (|tptp.'catDom$'| A__questionmark_v0)) (|tptp.'category$'| (|tptp.'catCod$'| A__questionmark_v0))) (|tptp.'preFunctor$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|)) (= (|tptp.'preFunctor$a'| A__questionmark_v0) (and (forall ((A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'mapM$c'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catDom$a'| A__questionmark_v0))) (=> (|tptp.'fun_app$b'| (|tptp.'compDefined$'| _let_2 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| _let_2) A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| (|tptp.'catCod$a'| A__questionmark_v0)) (|tptp.'fun_app$'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$'| _let_1 A__questionmark_v2))))))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| (|tptp.'catDom$a'| A__questionmark_v0))) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'catCod$a'| A__questionmark_v0))) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) (|tptp.'obj$'| _let_1)) (= (|tptp.'fun_app$'| (|tptp.'mapM$c'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'id$a'| (|tptp.'catDom$a'| A__questionmark_v0)) A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_1) A__questionmark_v2))))))) (|tptp.'category$'| (|tptp.'catDom$a'| A__questionmark_v0)) (|tptp.'category$'| (|tptp.'catCod$a'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|)) (= (|tptp.'preFunctor$c'| A__questionmark_v0) (and (forall ((A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mapM$b'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catDom$b'| A__questionmark_v0))) (=> (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| _let_2 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$l'| _let_1 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| _let_2) A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| (|tptp.'catCod$b'| A__questionmark_v0)) (|tptp.'fun_app$l'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$l'| _let_1 A__questionmark_v2))))))) (forall ((A__questionmark_v1 |tptp.'A$'|)) (=> (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| (|tptp.'catDom$b'| A__questionmark_v0))) (exists ((A__questionmark_v2 |tptp.'A$'|)) (let ((_let_1 (|tptp.'catCod$b'| A__questionmark_v0))) (and (|tptp.'member$i'| A__questionmark_v2 (|tptp.'obj$a'| _let_1)) (= (|tptp.'fun_app$l'| (|tptp.'mapM$b'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'id$'| (|tptp.'catDom$b'| A__questionmark_v0)) A__questionmark_v1)) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_1) A__questionmark_v2))))))) (|tptp.'category$a'| (|tptp.'catDom$b'| A__questionmark_v0)) (|tptp.'category$a'| (|tptp.'catCod$b'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|)) (= (|tptp.'preFunctor$b'| A__questionmark_v0) (and (forall ((A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'mapM$a'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catDom$c'| A__questionmark_v0))) (=> (|tptp.'fun_app$b'| (|tptp.'compDefined$'| _let_2 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$p'| _let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| _let_2) A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| (|tptp.'catCod$c'| A__questionmark_v0)) (|tptp.'fun_app$p'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$p'| _let_1 A__questionmark_v2))))))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| (|tptp.'catDom$c'| A__questionmark_v0))) (exists ((A__questionmark_v2 |tptp.'A$'|)) (let ((_let_1 (|tptp.'catCod$c'| A__questionmark_v0))) (and (|tptp.'member$i'| A__questionmark_v2 (|tptp.'obj$a'| _let_1)) (= (|tptp.'fun_app$p'| (|tptp.'mapM$a'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'id$a'| (|tptp.'catDom$c'| A__questionmark_v0)) A__questionmark_v1)) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_1) A__questionmark_v2))))))) (|tptp.'category$'| (|tptp.'catDom$c'| A__questionmark_v0)) (|tptp.'category$a'| (|tptp.'catCod$c'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (= (|tptp.'preFunctor$'| A__questionmark_v0) (and (forall ((A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mapM$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catDom$'| A__questionmark_v0))) (=> (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| _let_2 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$n'| _let_1 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| _let_2) A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| (|tptp.'catCod$'| A__questionmark_v0)) (|tptp.'fun_app$n'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$n'| _let_1 A__questionmark_v2))))))) (forall ((A__questionmark_v1 |tptp.'A$'|)) (=> (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| (|tptp.'catDom$'| A__questionmark_v0))) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'catCod$'| A__questionmark_v0))) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) (|tptp.'obj$'| _let_1)) (= (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'id$'| (|tptp.'catDom$'| A__questionmark_v0)) A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_1) A__questionmark_v2))))))) (|tptp.'category$a'| (|tptp.'catDom$'| A__questionmark_v0)) (|tptp.'category$'| (|tptp.'catCod$'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (let ((_let_1 (|tptp.'id$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'comp$a'| A__questionmark_v0))) (= (|tptp.'fun_app$i'| (|tptp.'inverse_rel$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (and (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| _let_2 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$o'| _let_1 (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v1))) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| _let_2 A__questionmark_v2) A__questionmark_v1) (|tptp.'fun_app$o'| _let_1 (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v1)))))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'id$a'| A__questionmark_v0))) (let ((_let_2 (|tptp.'comp$'| A__questionmark_v0))) (= (|tptp.'fun_app$b'| (|tptp.'inverse_rel$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (and (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| _let_2 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v0) A__questionmark_v1))) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| _let_2 A__questionmark_v2) A__questionmark_v1) (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v0) A__questionmark_v1)))))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'lSCategory_axioms$'| A__questionmark_v0)) (|tptp.'lSCategory$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'inverse_rel$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$i'| (|tptp.'inverse_rel$'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'inverse_rel$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$b'| (|tptp.'inverse_rel$a'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|) (A__questionmark_v3 |tptp.'B$'|)) (let ((_let_1 (|tptp.'inverse_rel$'| A__questionmark_v0 A__questionmark_v1))) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$i'| _let_1 A__questionmark_v2) (|tptp.'fun_app$i'| _let_1 A__questionmark_v3)) (= A__questionmark_v2 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'inverse_rel$a'| A__questionmark_v0 A__questionmark_v1))) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| _let_1 A__questionmark_v2) (|tptp.'fun_app$b'| _let_1 A__questionmark_v3)) (= A__questionmark_v2 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|)) (=> (|tptp.'preFunctor$b'| A__questionmark_v0) (|tptp.'category$a'| (|tptp.'catCod$c'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|)) (=> (|tptp.'preFunctor$a'| A__questionmark_v0) (|tptp.'category$'| (|tptp.'catCod$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (=> (|tptp.'preFunctor$'| A__questionmark_v0) (|tptp.'category$'| (|tptp.'catCod$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (=> (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'lSCategory_axioms$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mor$'| A__questionmark_v0))) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'inverse_rel$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (and (|tptp.'member$h'| A__questionmark_v1 _let_1) (|tptp.'member$h'| A__questionmark_v2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'mor$a'| A__questionmark_v0))) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'inverse_rel$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) _let_1) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) _let_1))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|)) (let ((_let_1 (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v0) A__questionmark_v1))) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| A__questionmark_v0))) (|tptp.'fun_app$i'| (|tptp.'inverse_rel$'| A__questionmark_v0 _let_1) _let_1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v0) A__questionmark_v1))) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'inverse_rel$a'| A__questionmark_v0 _let_1) _let_1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'preFunctor$a'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| (|tptp.'catDom$a'| A__questionmark_v0)))) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'catCod$a'| A__questionmark_v0))) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) (|tptp.'obj$'| _let_1)) (= (|tptp.'fun_app$'| (|tptp.'mapM$c'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'id$a'| (|tptp.'catDom$a'| A__questionmark_v0)) A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_1) A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A$'|)) (=> (and (|tptp.'preFunctor$c'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| (|tptp.'catDom$b'| A__questionmark_v0)))) (exists ((A__questionmark_v2 |tptp.'A$'|)) (let ((_let_1 (|tptp.'catCod$b'| A__questionmark_v0))) (and (|tptp.'member$i'| A__questionmark_v2 (|tptp.'obj$a'| _let_1)) (= (|tptp.'fun_app$l'| (|tptp.'mapM$b'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'id$'| (|tptp.'catDom$b'| A__questionmark_v0)) A__questionmark_v1)) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_1) A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'preFunctor$b'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| (|tptp.'catDom$c'| A__questionmark_v0)))) (exists ((A__questionmark_v2 |tptp.'A$'|)) (let ((_let_1 (|tptp.'catCod$c'| A__questionmark_v0))) (and (|tptp.'member$i'| A__questionmark_v2 (|tptp.'obj$a'| _let_1)) (= (|tptp.'fun_app$p'| (|tptp.'mapM$a'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'id$a'| (|tptp.'catDom$c'| A__questionmark_v0)) A__questionmark_v1)) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_1) A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A$'|)) (=> (and (|tptp.'preFunctor$'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| (|tptp.'catDom$'| A__questionmark_v0)))) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'catCod$'| A__questionmark_v0))) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) (|tptp.'obj$'| _let_1)) (= (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'id$'| (|tptp.'catDom$'| A__questionmark_v0)) A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_1) A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'mapM$c'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catDom$a'| A__questionmark_v0))) (=> (and (|tptp.'preFunctor$a'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| _let_2 A__questionmark_v1) A__questionmark_v2)) (= (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| _let_2) A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| (|tptp.'catCod$a'| A__questionmark_v0)) (|tptp.'fun_app$'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$'| _let_1 A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mapM$b'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catDom$b'| A__questionmark_v0))) (=> (and (|tptp.'preFunctor$c'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| _let_2 A__questionmark_v1) A__questionmark_v2)) (= (|tptp.'fun_app$l'| _let_1 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| _let_2) A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| (|tptp.'catCod$b'| A__questionmark_v0)) (|tptp.'fun_app$l'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$l'| _let_1 A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'mapM$a'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catDom$c'| A__questionmark_v0))) (=> (and (|tptp.'preFunctor$b'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| _let_2 A__questionmark_v1) A__questionmark_v2)) (= (|tptp.'fun_app$p'| _let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| _let_2) A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| (|tptp.'catCod$c'| A__questionmark_v0)) (|tptp.'fun_app$p'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$p'| _let_1 A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mapM$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catDom$'| A__questionmark_v0))) (=> (and (|tptp.'preFunctor$'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| _let_2 A__questionmark_v1) A__questionmark_v2)) (= (|tptp.'fun_app$n'| _let_1 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| _let_2) A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| (|tptp.'catCod$'| A__questionmark_v0)) (|tptp.'fun_app$n'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$n'| _let_1 A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'mapO$c'| A__questionmark_v0))) (=> (and (|tptp.'functorM$c'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| (|tptp.'catDom$a'| A__questionmark_v0) A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| (|tptp.'catCod$a'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'mapM$c'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$'| _let_1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|)) (=> (and (|tptp.'functorM$'| A__questionmark_v0) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| (|tptp.'catDom$b'| A__questionmark_v0) A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| (|tptp.'catCod$b'| A__questionmark_v0) (|tptp.'fun_app$l'| (|tptp.'mapM$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'mapO$b'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'mapO$b'| A__questionmark_v0 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (and (|tptp.'functorM$b'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| (|tptp.'catDom$c'| A__questionmark_v0) A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| (|tptp.'catCod$c'| A__questionmark_v0) (|tptp.'fun_app$p'| (|tptp.'mapM$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'mapO$a'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'mapO$a'| A__questionmark_v0 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|)) (=> (and (|tptp.'functorM$a'| A__questionmark_v0) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| (|tptp.'catDom$'| A__questionmark_v0) A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| (|tptp.'catCod$'| A__questionmark_v0) (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'B$'|) (A__questionmark_v3 |tptp.'B$'|)) (let ((_let_1 (|tptp.'homFtorMap$'| A__questionmark_v0 A__questionmark_v1))) (=> (and (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| A__questionmark_v0)) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| |tptp.'set$'|) (|tptp.'fun_app$n'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$n'| _let_1 A__questionmark_v3)) (|tptp.'fun_app$n'| _let_1 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'B$'|) (A__questionmark_v3 |tptp.'B$'|)) (let ((_let_1 (|tptp.'homFtorMap$'| A__questionmark_v0 A__questionmark_v1))) (=> (and (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| A__questionmark_v0)) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| |tptp.'set$a'|) (|tptp.'fun_app$n'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$n'| _let_1 A__questionmark_v3)) (|tptp.'fun_app$n'| _let_1 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'fun_app$'| (|tptp.'mapO$c'| A__questionmark_v0) A__questionmark_v1))) (let ((_let_2 (|tptp.'catCod$a'| A__questionmark_v0))) (let ((_let_3 (|tptp.'catDom$a'| A__questionmark_v0))) (=> (and (|tptp.'preFunctor$a'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| _let_3))) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| _let_1) (|tptp.'obj$'| _let_2)) (= (|tptp.'fun_app$'| (|tptp.'mapM$c'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_3) A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_2) _let_1)))))))) (forall ((A__questionmark_v0 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A$'|)) (let ((_let_1 (|tptp.'mapO$b'| A__questionmark_v0 A__questionmark_v1))) (let ((_let_2 (|tptp.'catCod$b'| A__questionmark_v0))) (let ((_let_3 (|tptp.'catDom$b'| A__questionmark_v0))) (=> (and (|tptp.'preFunctor$c'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| _let_3))) (and (|tptp.'member$i'| _let_1 (|tptp.'obj$a'| _let_2)) (= (|tptp.'fun_app$l'| (|tptp.'mapM$b'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_3) A__questionmark_v1)) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_2) _let_1)))))))) (forall ((A__questionmark_v0 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'mapO$a'| A__questionmark_v0 A__questionmark_v1))) (let ((_let_2 (|tptp.'catCod$c'| A__questionmark_v0))) (let ((_let_3 (|tptp.'catDom$c'| A__questionmark_v0))) (=> (and (|tptp.'preFunctor$b'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| _let_3))) (and (|tptp.'member$i'| _let_1 (|tptp.'obj$a'| _let_2)) (= (|tptp.'fun_app$p'| (|tptp.'mapM$a'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_3) A__questionmark_v1)) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_2) _let_1)))))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A$'|)) (let ((_let_1 (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v1))) (let ((_let_2 (|tptp.'catCod$'| A__questionmark_v0))) (let ((_let_3 (|tptp.'catDom$'| A__questionmark_v0))) (=> (and (|tptp.'preFunctor$'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| _let_3))) (and (|tptp.'fun_app$d'| (|tptp.'member$b'| _let_1) (|tptp.'obj$'| _let_2)) (= (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_3) A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_2) _let_1)))))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'catCod$a'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catDom$a'| A__questionmark_v0))) (=> (and (|tptp.'preFunctor$a'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| _let_2)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) (|tptp.'obj$'| _let_1)) (= (|tptp.'fun_app$'| (|tptp.'mapM$c'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_2) A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_1) A__questionmark_v2))) (= (|tptp.'fun_app$'| (|tptp.'mapO$c'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'A$'|)) (let ((_let_1 (|tptp.'catCod$b'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catDom$b'| A__questionmark_v0))) (=> (and (|tptp.'preFunctor$c'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| _let_2)) (|tptp.'member$i'| A__questionmark_v2 (|tptp.'obj$a'| _let_1)) (= (|tptp.'fun_app$l'| (|tptp.'mapM$b'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_2) A__questionmark_v1)) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_1) A__questionmark_v2))) (= (|tptp.'mapO$b'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'A$'|)) (let ((_let_1 (|tptp.'catCod$c'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catDom$c'| A__questionmark_v0))) (=> (and (|tptp.'preFunctor$b'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| _let_2)) (|tptp.'member$i'| A__questionmark_v2 (|tptp.'obj$a'| _let_1)) (= (|tptp.'fun_app$p'| (|tptp.'mapM$a'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_2) A__questionmark_v1)) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_1) A__questionmark_v2))) (= (|tptp.'mapO$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'catCod$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catDom$'| A__questionmark_v0))) (=> (and (|tptp.'preFunctor$'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'obj$a'| _let_2)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) (|tptp.'obj$'| _let_1)) (= (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v0) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_2) A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_1) A__questionmark_v2))) (= (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (= (|tptp.'lSCategory$'| A__questionmark_v0) (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'lSCategory_axioms$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'catCod$c'| A__questionmark_v2))) (let ((_let_2 (|tptp.'mapO$a'| A__questionmark_v2 (|tptp.'fun_app$'| (|tptp.'mapO$c'| A__questionmark_v1) A__questionmark_v0)))) (let ((_let_3 (|tptp.'catDom$a'| A__questionmark_v1))) (=> (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'obj$'| _let_3)) (|tptp.'functor_comp_def$'| A__questionmark_v1 A__questionmark_v2)) (and (= (|tptp.'fun_app$p'| (|tptp.'mapM$a'| A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'mapM$c'| A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_3) A__questionmark_v0))) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_1) _let_2)) (|tptp.'member$i'| _let_2 (|tptp.'obj$a'| _let_1)))))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'catCod$a'| A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$'| (|tptp.'mapO$c'| A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'mapO$c'| A__questionmark_v1) A__questionmark_v0)))) (let ((_let_3 (|tptp.'catDom$a'| A__questionmark_v1))) (=> (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'obj$'| _let_3)) (|tptp.'functor_comp_def$a'| A__questionmark_v1 A__questionmark_v2)) (and (= (|tptp.'fun_app$'| (|tptp.'mapM$c'| A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'mapM$c'| A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_3) A__questionmark_v0))) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_1) _let_2)) (|tptp.'fun_app$d'| (|tptp.'member$b'| _let_2) (|tptp.'obj$'| _let_1)))))))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'catCod$b'| A__questionmark_v2))) (let ((_let_2 (|tptp.'mapO$b'| A__questionmark_v2 (|tptp.'mapO$b'| A__questionmark_v1 A__questionmark_v0)))) (let ((_let_3 (|tptp.'catDom$b'| A__questionmark_v1))) (=> (and (|tptp.'member$i'| A__questionmark_v0 (|tptp.'obj$a'| _let_3)) (|tptp.'functor_comp_def$b'| A__questionmark_v1 A__questionmark_v2)) (and (= (|tptp.'fun_app$l'| (|tptp.'mapM$b'| A__questionmark_v2) (|tptp.'fun_app$l'| (|tptp.'mapM$b'| A__questionmark_v1) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_3) A__questionmark_v0))) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_1) _let_2)) (|tptp.'member$i'| _let_2 (|tptp.'obj$a'| _let_1)))))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'catCod$b'| A__questionmark_v2))) (let ((_let_2 (|tptp.'mapO$b'| A__questionmark_v2 (|tptp.'mapO$a'| A__questionmark_v1 A__questionmark_v0)))) (let ((_let_3 (|tptp.'catDom$c'| A__questionmark_v1))) (=> (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'obj$'| _let_3)) (|tptp.'functor_comp_def$c'| A__questionmark_v1 A__questionmark_v2)) (and (= (|tptp.'fun_app$l'| (|tptp.'mapM$b'| A__questionmark_v2) (|tptp.'fun_app$p'| (|tptp.'mapM$a'| A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_3) A__questionmark_v0))) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_1) _let_2)) (|tptp.'member$i'| _let_2 (|tptp.'obj$a'| _let_1)))))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'catCod$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'mapO$'| A__questionmark_v2 (|tptp.'mapO$a'| A__questionmark_v1 A__questionmark_v0)))) (let ((_let_3 (|tptp.'catDom$c'| A__questionmark_v1))) (=> (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'obj$'| _let_3)) (|tptp.'functor_comp_def$d'| A__questionmark_v1 A__questionmark_v2)) (and (= (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v2) (|tptp.'fun_app$p'| (|tptp.'mapM$a'| A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_3) A__questionmark_v0))) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_1) _let_2)) (|tptp.'fun_app$d'| (|tptp.'member$b'| _let_2) (|tptp.'obj$'| _let_1)))))))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'catCod$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'mapO$'| A__questionmark_v2 (|tptp.'mapO$b'| A__questionmark_v1 A__questionmark_v0)))) (let ((_let_3 (|tptp.'catDom$b'| A__questionmark_v1))) (=> (and (|tptp.'member$i'| A__questionmark_v0 (|tptp.'obj$a'| _let_3)) (|tptp.'functor_comp_def$e'| A__questionmark_v1 A__questionmark_v2)) (and (= (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v2) (|tptp.'fun_app$l'| (|tptp.'mapM$b'| A__questionmark_v1) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_3) A__questionmark_v0))) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_1) _let_2)) (|tptp.'fun_app$d'| (|tptp.'member$b'| _let_2) (|tptp.'obj$'| _let_1)))))))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'catCod$c'| A__questionmark_v2))) (let ((_let_2 (|tptp.'mapO$a'| A__questionmark_v2 (|tptp.'mapO$'| A__questionmark_v1 A__questionmark_v0)))) (let ((_let_3 (|tptp.'catDom$'| A__questionmark_v1))) (=> (and (|tptp.'member$i'| A__questionmark_v0 (|tptp.'obj$a'| _let_3)) (|tptp.'functor_comp_def$f'| A__questionmark_v1 A__questionmark_v2)) (and (= (|tptp.'fun_app$p'| (|tptp.'mapM$a'| A__questionmark_v2) (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v1) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_3) A__questionmark_v0))) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_1) _let_2)) (|tptp.'member$i'| _let_2 (|tptp.'obj$a'| _let_1)))))))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'catCod$a'| A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$'| (|tptp.'mapO$c'| A__questionmark_v2) (|tptp.'mapO$'| A__questionmark_v1 A__questionmark_v0)))) (let ((_let_3 (|tptp.'catDom$'| A__questionmark_v1))) (=> (and (|tptp.'member$i'| A__questionmark_v0 (|tptp.'obj$a'| _let_3)) (|tptp.'functor_comp_def$g'| A__questionmark_v1 A__questionmark_v2)) (and (= (|tptp.'fun_app$'| (|tptp.'mapM$c'| A__questionmark_v2) (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v1) (|tptp.'fun_app$o'| (|tptp.'id$'| _let_3) A__questionmark_v0))) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_1) _let_2)) (|tptp.'fun_app$d'| (|tptp.'member$b'| _let_2) (|tptp.'obj$'| _let_1)))))))) (forall ((A__questionmark_v0 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|) (A__questionmark_v3 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'mapM$b'| A__questionmark_v0))) (let ((_let_2 (|tptp.'mapM$b'| A__questionmark_v3))) (let ((_let_3 (|tptp.'catDom$b'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| _let_3 A__questionmark_v1) A__questionmark_v2) (|tptp.'functor_comp_def$b'| A__questionmark_v0 A__questionmark_v3)) (= (|tptp.'fun_app$l'| _let_2 (|tptp.'fun_app$l'| _let_1 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| _let_3) A__questionmark_v1) A__questionmark_v2))) (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| (|tptp.'catCod$b'| A__questionmark_v3)) (|tptp.'fun_app$l'| _let_2 (|tptp.'fun_app$l'| _let_1 A__questionmark_v1))) (|tptp.'fun_app$l'| _let_2 (|tptp.'fun_app$l'| _let_1 A__questionmark_v2))))))))) (forall ((A__questionmark_v0 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'mapM$a'| A__questionmark_v0))) (let ((_let_2 (|tptp.'mapM$b'| A__questionmark_v3))) (let ((_let_3 (|tptp.'catDom$c'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$b'| (|tptp.'compDefined$'| _let_3 A__questionmark_v1) A__questionmark_v2) (|tptp.'functor_comp_def$c'| A__questionmark_v0 A__questionmark_v3)) (= (|tptp.'fun_app$l'| _let_2 (|tptp.'fun_app$p'| _let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| _let_3) A__questionmark_v1) A__questionmark_v2))) (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| (|tptp.'catCod$b'| A__questionmark_v3)) (|tptp.'fun_app$l'| _let_2 (|tptp.'fun_app$p'| _let_1 A__questionmark_v1))) (|tptp.'fun_app$l'| _let_2 (|tptp.'fun_app$p'| _let_1 A__questionmark_v2))))))))) (forall ((A__questionmark_v0 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'mapM$a'| A__questionmark_v0))) (let ((_let_2 (|tptp.'mapM$'| A__questionmark_v3))) (let ((_let_3 (|tptp.'catDom$c'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$b'| (|tptp.'compDefined$'| _let_3 A__questionmark_v1) A__questionmark_v2) (|tptp.'functor_comp_def$d'| A__questionmark_v0 A__questionmark_v3)) (= (|tptp.'fun_app$n'| _let_2 (|tptp.'fun_app$p'| _let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| _let_3) A__questionmark_v1) A__questionmark_v2))) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| (|tptp.'catCod$'| A__questionmark_v3)) (|tptp.'fun_app$n'| _let_2 (|tptp.'fun_app$p'| _let_1 A__questionmark_v1))) (|tptp.'fun_app$n'| _let_2 (|tptp.'fun_app$p'| _let_1 A__questionmark_v2))))))))) (forall ((A__questionmark_v0 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|) (A__questionmark_v3 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'mapM$b'| A__questionmark_v0))) (let ((_let_2 (|tptp.'mapM$'| A__questionmark_v3))) (let ((_let_3 (|tptp.'catDom$b'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| _let_3 A__questionmark_v1) A__questionmark_v2) (|tptp.'functor_comp_def$e'| A__questionmark_v0 A__questionmark_v3)) (= (|tptp.'fun_app$n'| _let_2 (|tptp.'fun_app$l'| _let_1 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| _let_3) A__questionmark_v1) A__questionmark_v2))) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| (|tptp.'catCod$'| A__questionmark_v3)) (|tptp.'fun_app$n'| _let_2 (|tptp.'fun_app$l'| _let_1 A__questionmark_v1))) (|tptp.'fun_app$n'| _let_2 (|tptp.'fun_app$l'| _let_1 A__questionmark_v2))))))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|) (A__questionmark_v3 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'mapM$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'mapM$a'| A__questionmark_v3))) (let ((_let_3 (|tptp.'catDom$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| _let_3 A__questionmark_v1) A__questionmark_v2) (|tptp.'functor_comp_def$f'| A__questionmark_v0 A__questionmark_v3)) (= (|tptp.'fun_app$p'| _let_2 (|tptp.'fun_app$n'| _let_1 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| _let_3) A__questionmark_v1) A__questionmark_v2))) (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| (|tptp.'catCod$c'| A__questionmark_v3)) (|tptp.'fun_app$p'| _let_2 (|tptp.'fun_app$n'| _let_1 A__questionmark_v1))) (|tptp.'fun_app$p'| _let_2 (|tptp.'fun_app$n'| _let_1 A__questionmark_v2))))))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|) (A__questionmark_v3 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'mapM$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'mapM$c'| A__questionmark_v3))) (let ((_let_3 (|tptp.'catDom$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| _let_3 A__questionmark_v1) A__questionmark_v2) (|tptp.'functor_comp_def$g'| A__questionmark_v0 A__questionmark_v3)) (= (|tptp.'fun_app$'| _let_2 (|tptp.'fun_app$n'| _let_1 (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| _let_3) A__questionmark_v1) A__questionmark_v2))) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| (|tptp.'catCod$a'| A__questionmark_v3)) (|tptp.'fun_app$'| _let_2 (|tptp.'fun_app$n'| _let_1 A__questionmark_v1))) (|tptp.'fun_app$'| _let_2 (|tptp.'fun_app$n'| _let_1 A__questionmark_v2))))))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'obj$a'| (|tptp.'catDom$'| A__questionmark_v0)))) (=> (and (|tptp.'equivalence$'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 _let_1) (|tptp.'member$i'| A__questionmark_v2 _let_1) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| (|tptp.'catCod$'| A__questionmark_v0) A__questionmark_v3 (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v2))) (exists ((A__questionmark_v4 |tptp.'B$'|)) (and (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| (|tptp.'catDom$'| A__questionmark_v0) A__questionmark_v4 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v0) A__questionmark_v4) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (=> (forall ((A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|)) (=> (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| (|tptp.'catDom$'| A__questionmark_v0) A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| (|tptp.'catCod$'| A__questionmark_v0) (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v3)))) (|tptp.'functorM_axioms$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (= (|tptp.'functorM_axioms$'| A__questionmark_v0) (forall ((A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|)) (=> (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| (|tptp.'catDom$'| A__questionmark_v0) A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| (|tptp.'catCod$'| A__questionmark_v0) (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'B$'|)) (let ((_let_1 (|tptp.'catDom$'| A__questionmark_v0))) (=> (and (|tptp.'functor$'| A__questionmark_v0) (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| _let_1))) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| (|tptp.'catCod$'| A__questionmark_v0) (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'mapO$'| A__questionmark_v0 (|tptp.'fun_app$q'| (|tptp.'dom$'| _let_1) A__questionmark_v1))) (|tptp.'mapO$'| A__questionmark_v0 (|tptp.'fun_app$q'| (|tptp.'cod$'| _let_1) A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (= A__questionmark_v0 (|tptp.'category_ext$'| (|tptp.'obj$a'| A__questionmark_v0) (|tptp.'mor$'| A__questionmark_v0) (|tptp.'dom$'| A__questionmark_v0) (|tptp.'cod$'| A__questionmark_v0) (|tptp.'id$'| A__questionmark_v0) (|tptp.'comp$a'| A__questionmark_v0) (|tptp.'more$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (= A__questionmark_v0 (|tptp.'category_ext$a'| (|tptp.'obj$'| A__questionmark_v0) (|tptp.'mor$a'| A__questionmark_v0) (|tptp.'dom$a'| A__questionmark_v0) (|tptp.'cod$a'| A__questionmark_v0) (|tptp.'id$a'| A__questionmark_v0) (|tptp.'comp$'| A__questionmark_v0) (|tptp.'more$b'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'B$'|)) (let ((_let_1 (|tptp.'catDom$'| A__questionmark_v0))) (=> (and (|tptp.'functor$'| A__questionmark_v0) (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| _let_1))) (= (|tptp.'fun_app$'| (|tptp.'dom$a'| (|tptp.'catCod$'| A__questionmark_v0)) (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'mapO$'| A__questionmark_v0 (|tptp.'fun_app$q'| (|tptp.'dom$'| _let_1) A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v5 |tptp.'ZF_ZF_ZF_fun_fun$'|) (A__questionmark_v6 |tptp.'Unit$'|) (A__questionmark_v7 |tptp.'ZF_set$'|) (A__questionmark_v8 |tptp.'ZF_set$'|) (A__questionmark_v9 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v10 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v11 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v12 |tptp.'ZF_ZF_ZF_fun_fun$'|) (A__questionmark_v13 |tptp.'Unit$'|)) (= (= (|tptp.'category_ext$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6) (|tptp.'category_ext$a'| A__questionmark_v7 A__questionmark_v8 A__questionmark_v9 A__questionmark_v10 A__questionmark_v11 A__questionmark_v12 A__questionmark_v13)) (and (= A__questionmark_v0 A__questionmark_v7) (= A__questionmark_v1 A__questionmark_v8) (= A__questionmark_v2 A__questionmark_v9) (= A__questionmark_v3 A__questionmark_v10) (= A__questionmark_v4 A__questionmark_v11) (= A__questionmark_v5 A__questionmark_v12) (= A__questionmark_v6 A__questionmark_v13)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (=> (forall ((A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v5 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v6 |tptp.'ZF_ZF_ZF_fun_fun$'|) (A__questionmark_v7 |tptp.'Unit$'|)) (=> (= A__questionmark_v0 (|tptp.'category_ext$a'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6 A__questionmark_v7)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_set$'|) (A__questionmark_v1 |tptp.'B_set$'|) (A__questionmark_v2 |tptp.'B_a_fun$'|) (A__questionmark_v3 |tptp.'B_a_fun$'|) (A__questionmark_v4 |tptp.'A_b_fun$'|) (A__questionmark_v5 |tptp.'B_b_b_fun_fun$'|) (A__questionmark_v6 |tptp.'B_c_LSCategory_ext$'|)) (= (|tptp.'obj$a'| (|tptp.'category_ext$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v5 |tptp.'ZF_ZF_ZF_fun_fun$'|) (A__questionmark_v6 |tptp.'Unit$'|)) (= (|tptp.'obj$'| (|tptp.'category_ext$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_set$'|) (A__questionmark_v1 |tptp.'B_set$'|) (A__questionmark_v2 |tptp.'B_a_fun$'|) (A__questionmark_v3 |tptp.'B_a_fun$'|) (A__questionmark_v4 |tptp.'A_b_fun$'|) (A__questionmark_v5 |tptp.'B_b_b_fun_fun$'|) (A__questionmark_v6 |tptp.'B_c_LSCategory_ext$'|)) (= (|tptp.'mor$'| (|tptp.'category_ext$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6)) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v5 |tptp.'ZF_ZF_ZF_fun_fun$'|) (A__questionmark_v6 |tptp.'Unit$'|)) (= (|tptp.'mor$a'| (|tptp.'category_ext$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6)) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v5 |tptp.'ZF_ZF_ZF_fun_fun$'|) (A__questionmark_v6 |tptp.'Unit$'|)) (= (|tptp.'comp$'| (|tptp.'category_ext$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6)) A__questionmark_v5)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v5 |tptp.'ZF_ZF_ZF_fun_fun$'|) (A__questionmark_v6 |tptp.'Unit$'|)) (= (|tptp.'id$a'| (|tptp.'category_ext$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6)) A__questionmark_v4)) (forall ((A__questionmark_v0 |tptp.'A_set$'|) (A__questionmark_v1 |tptp.'B_set$'|) (A__questionmark_v2 |tptp.'B_a_fun$'|) (A__questionmark_v3 |tptp.'B_a_fun$'|) (A__questionmark_v4 |tptp.'A_b_fun$'|) (A__questionmark_v5 |tptp.'B_b_b_fun_fun$'|) (A__questionmark_v6 |tptp.'B_c_LSCategory_ext$'|)) (= (|tptp.'cod$'| (|tptp.'category_ext$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6)) A__questionmark_v3)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v5 |tptp.'ZF_ZF_ZF_fun_fun$'|) (A__questionmark_v6 |tptp.'Unit$'|)) (= (|tptp.'cod$a'| (|tptp.'category_ext$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6)) A__questionmark_v3)) (forall ((A__questionmark_v0 |tptp.'A_set$'|) (A__questionmark_v1 |tptp.'B_set$'|) (A__questionmark_v2 |tptp.'B_a_fun$'|) (A__questionmark_v3 |tptp.'B_a_fun$'|) (A__questionmark_v4 |tptp.'A_b_fun$'|) (A__questionmark_v5 |tptp.'B_b_b_fun_fun$'|) (A__questionmark_v6 |tptp.'B_c_LSCategory_ext$'|)) (= (|tptp.'dom$'| (|tptp.'category_ext$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6)) A__questionmark_v2)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v5 |tptp.'ZF_ZF_ZF_fun_fun$'|) (A__questionmark_v6 |tptp.'Unit$'|)) (= (|tptp.'dom$a'| (|tptp.'category_ext$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6)) A__questionmark_v2)) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v5 |tptp.'ZF_ZF_ZF_fun_fun$'|) (A__questionmark_v6 |tptp.'Unit$'|)) (= (|tptp.'more$b'| (|tptp.'category_ext$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6)) A__questionmark_v6)) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (=> (|tptp.'functor$'| A__questionmark_v0) (|tptp.'preFunctor$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (=> (|tptp.'category$'| A__questionmark_v0) (|tptp.'functor$a'| (|tptp.'identityFunctor$b'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'A$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'category$a'| A__questionmark_v1) (|tptp.'member$i'| A__questionmark_v2 (|tptp.'obj$a'| A__questionmark_v1))) (|tptp.'functor$b'| (|tptp.'constFunctor$f'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'category$'| A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v2) (|tptp.'obj$'| A__questionmark_v1))) (|tptp.'functor$a'| (|tptp.'constFunctor$e'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'B$'|)) (=> (and (|tptp.'functor$'| A__questionmark_v0) (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| (|tptp.'catDom$'| A__questionmark_v0)))) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'mor$a'| (|tptp.'catCod$'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mapM$'| A__questionmark_v0))) (=> (and (|tptp.'functor$'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'compDefined$a'| (|tptp.'catDom$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| (|tptp.'catCod$'| A__questionmark_v0) (|tptp.'fun_app$n'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$n'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (=> (and (|tptp.'preFunctor$'| A__questionmark_v0) (|tptp.'functorM_axioms$'| A__questionmark_v0)) (|tptp.'functorM$a'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (= (|tptp.'functorM$a'| A__questionmark_v0) (and (|tptp.'preFunctor$'| A__questionmark_v0) (|tptp.'functorM_axioms$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|) (A__questionmark_v4 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mapM$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catDom$'| A__questionmark_v0))) (=> (and (|tptp.'equivalence$'| A__questionmark_v0) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| _let_2 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| _let_2 A__questionmark_v4 A__questionmark_v2) A__questionmark_v3) (= (|tptp.'fun_app$n'| _let_1 A__questionmark_v1) (|tptp.'fun_app$n'| _let_1 A__questionmark_v4))) (= A__questionmark_v1 A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mapM$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catCod$'| A__questionmark_v0))) (let ((_let_3 (|tptp.'catDom$'| A__questionmark_v0))) (=> (and (|tptp.'functor$'| A__questionmark_v0) (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| _let_3))) (= (|tptp.'fun_app$n'| _let_1 (|tptp.'fun_app$o'| (|tptp.'id$'| _let_3) (|tptp.'fun_app$q'| (|tptp.'cod$'| _let_3) A__questionmark_v1))) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_2) (|tptp.'fun_app$'| (|tptp.'cod$a'| _let_2) (|tptp.'fun_app$n'| _let_1 A__questionmark_v1))))))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mapM$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catCod$'| A__questionmark_v0))) (let ((_let_3 (|tptp.'catDom$'| A__questionmark_v0))) (=> (and (|tptp.'functor$'| A__questionmark_v0) (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| _let_3))) (= (|tptp.'fun_app$n'| _let_1 (|tptp.'fun_app$o'| (|tptp.'id$'| _let_3) (|tptp.'fun_app$q'| (|tptp.'dom$'| _let_3) A__questionmark_v1))) (|tptp.'fun_app$'| (|tptp.'id$a'| _let_2) (|tptp.'fun_app$'| (|tptp.'dom$a'| _let_2) (|tptp.'fun_app$n'| _let_1 A__questionmark_v1))))))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'B$'|)) (let ((_let_1 (|tptp.'catDom$'| A__questionmark_v0))) (=> (and (|tptp.'functor$'| A__questionmark_v0) (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| _let_1))) (= (|tptp.'fun_app$'| (|tptp.'cod$a'| (|tptp.'catCod$'| A__questionmark_v0)) (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'mapO$'| A__questionmark_v0 (|tptp.'fun_app$q'| (|tptp.'cod$'| _let_1) A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (= A__questionmark_v0 (|tptp.'category_ext$'| (|tptp.'obj$a'| A__questionmark_v0) (|tptp.'mor$'| A__questionmark_v0) (|tptp.'dom$'| A__questionmark_v0) (|tptp.'cod$'| A__questionmark_v0) (|tptp.'id$'| A__questionmark_v0) (|tptp.'comp$a'| A__questionmark_v0) (|tptp.'lSCategory_ext$'| (|tptp.'mor2ZF$'| A__questionmark_v0) (|tptp.'more$'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'equivalence$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| (|tptp.'catCod$'| A__questionmark_v0)))) (exists ((A__questionmark_v2 |tptp.'A$'|)) (and (|tptp.'member$i'| A__questionmark_v2 (|tptp.'obj$a'| (|tptp.'catDom$'| A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'objIso$'| (|tptp.'catCod$'| A__questionmark_v0) (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'B$'|) (A__questionmark_v1 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'catDom$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'mapO$c'| A__questionmark_v2))) (=> (and (|tptp.'member$h'| A__questionmark_v0 (|tptp.'mor$'| (|tptp.'catDom$'| (|tptp.'functorComp$'| A__questionmark_v1 A__questionmark_v2)))) (|tptp.'functor_comp_def$g'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| (|tptp.'catCod$a'| A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'mapM$c'| A__questionmark_v2) (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'fun_app$'| _let_2 (|tptp.'mapO$'| A__questionmark_v1 (|tptp.'fun_app$q'| (|tptp.'dom$'| _let_1) A__questionmark_v0)))) (|tptp.'fun_app$'| _let_2 (|tptp.'mapO$'| A__questionmark_v1 (|tptp.'fun_app$q'| (|tptp.'cod$'| _let_1) A__questionmark_v0)))))))) (forall ((A__questionmark_v0 |tptp.'B$'|) (A__questionmark_v1 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'catDom$'| A__questionmark_v1))) (=> (and (|tptp.'member$h'| A__questionmark_v0 (|tptp.'mor$'| (|tptp.'catDom$b'| (|tptp.'functorComp$a'| A__questionmark_v1 A__questionmark_v2)))) (|tptp.'functor_comp_def$f'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| (|tptp.'catCod$c'| A__questionmark_v2) (|tptp.'fun_app$p'| (|tptp.'mapM$a'| A__questionmark_v2) (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'mapO$a'| A__questionmark_v2 (|tptp.'mapO$'| A__questionmark_v1 (|tptp.'fun_app$q'| (|tptp.'dom$'| _let_1) A__questionmark_v0)))) (|tptp.'mapO$a'| A__questionmark_v2 (|tptp.'mapO$'| A__questionmark_v1 (|tptp.'fun_app$q'| (|tptp.'cod$'| _let_1) A__questionmark_v0))))))) (forall ((A__questionmark_v0 |tptp.'B$'|) (A__questionmark_v1 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'catDom$b'| A__questionmark_v1))) (=> (and (|tptp.'member$h'| A__questionmark_v0 (|tptp.'mor$'| (|tptp.'catDom$'| (|tptp.'functorComp$b'| A__questionmark_v1 A__questionmark_v2)))) (|tptp.'functor_comp_def$e'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| (|tptp.'catCod$'| A__questionmark_v2) (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v2) (|tptp.'fun_app$l'| (|tptp.'mapM$b'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'mapO$'| A__questionmark_v2 (|tptp.'mapO$b'| A__questionmark_v1 (|tptp.'fun_app$q'| (|tptp.'dom$'| _let_1) A__questionmark_v0)))) (|tptp.'mapO$'| A__questionmark_v2 (|tptp.'mapO$b'| A__questionmark_v1 (|tptp.'fun_app$q'| (|tptp.'cod$'| _let_1) A__questionmark_v0))))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'catDom$c'| A__questionmark_v1))) (=> (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'mor$a'| (|tptp.'catDom$a'| (|tptp.'functorComp$c'| A__questionmark_v1 A__questionmark_v2)))) (|tptp.'functor_comp_def$d'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| (|tptp.'catCod$'| A__questionmark_v2) (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v2) (|tptp.'fun_app$p'| (|tptp.'mapM$a'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'mapO$'| A__questionmark_v2 (|tptp.'mapO$a'| A__questionmark_v1 (|tptp.'fun_app$'| (|tptp.'dom$a'| _let_1) A__questionmark_v0)))) (|tptp.'mapO$'| A__questionmark_v2 (|tptp.'mapO$a'| A__questionmark_v1 (|tptp.'fun_app$'| (|tptp.'cod$a'| _let_1) A__questionmark_v0))))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'compDefined$'| |tptp.'set$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) (|tptp.'fun_app$'| |tptp.'zFfunDom$'| A__questionmark_v0))) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunApp$'| (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| |tptp.'set$'|) A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunApp$'| A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunApp$'| A__questionmark_v0) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (= (|tptp.'equivalence_axioms$'| A__questionmark_v0) (and (forall ((A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'obj$a'| (|tptp.'catDom$'| A__questionmark_v0)))) (=> (and (|tptp.'member$i'| A__questionmark_v1 _let_1) (|tptp.'member$i'| A__questionmark_v2 _let_1) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| (|tptp.'catCod$'| A__questionmark_v0) A__questionmark_v3 (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v2))) (exists ((A__questionmark_v4 |tptp.'B$'|)) (and (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| (|tptp.'catDom$'| A__questionmark_v0) A__questionmark_v4 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v0) A__questionmark_v4) A__questionmark_v3)))))) (forall ((A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|) (A__questionmark_v4 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mapM$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catDom$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| _let_2 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| _let_2 A__questionmark_v4 A__questionmark_v2) A__questionmark_v3) (= (|tptp.'fun_app$n'| _let_1 A__questionmark_v1) (|tptp.'fun_app$n'| _let_1 A__questionmark_v4))) (= A__questionmark_v1 A__questionmark_v4))))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| (|tptp.'catCod$'| A__questionmark_v0))) (exists ((A__questionmark_v2 |tptp.'A$'|)) (and (|tptp.'member$i'| A__questionmark_v2 (|tptp.'obj$a'| (|tptp.'catDom$'| A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'objIso$'| (|tptp.'catCod$'| A__questionmark_v0) (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v1)))))))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'functorComp$'| A__questionmark_v1 A__questionmark_v2))) (=> (and (|tptp.'member$i'| A__questionmark_v0 (|tptp.'obj$a'| (|tptp.'catDom$'| A__questionmark_v1))) (|tptp.'preFunctor$'| _let_1) (|tptp.'functor_comp_def$g'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'mapO$'| _let_1 A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'mapO$c'| A__questionmark_v2) (|tptp.'mapO$'| A__questionmark_v1 A__questionmark_v0)))))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'functorComp$b'| A__questionmark_v1 A__questionmark_v2))) (=> (and (|tptp.'member$i'| A__questionmark_v0 (|tptp.'obj$a'| (|tptp.'catDom$b'| A__questionmark_v1))) (|tptp.'preFunctor$'| _let_1) (|tptp.'functor_comp_def$e'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'mapO$'| _let_1 A__questionmark_v0) (|tptp.'mapO$'| A__questionmark_v2 (|tptp.'mapO$b'| A__questionmark_v1 A__questionmark_v0)))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$'|) (A__questionmark_v2 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'functorComp$c'| A__questionmark_v1 A__questionmark_v2))) (=> (and (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'obj$'| (|tptp.'catDom$c'| A__questionmark_v1))) (|tptp.'preFunctor$a'| _let_1) (|tptp.'functor_comp_def$d'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'fun_app$'| (|tptp.'mapO$c'| _let_1) A__questionmark_v0) (|tptp.'mapO$'| A__questionmark_v2 (|tptp.'mapO$a'| A__questionmark_v1 A__questionmark_v0)))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'obj$a'| (|tptp.'catDom$'| A__questionmark_v0)))) (=> (and (|tptp.'member$i'| A__questionmark_v1 _let_1) (|tptp.'member$i'| A__questionmark_v2 _let_1) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| (|tptp.'catCod$'| A__questionmark_v0) A__questionmark_v3 (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v2))) (exists ((A__questionmark_v4 |tptp.'B$'|)) (and (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| (|tptp.'catDom$'| A__questionmark_v0) A__questionmark_v4 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v0) A__questionmark_v4) A__questionmark_v3)))))) (forall ((A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|) (A__questionmark_v4 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mapM$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'catDom$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| _let_2 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| _let_2 A__questionmark_v4 A__questionmark_v2) A__questionmark_v3) (= (|tptp.'fun_app$n'| _let_1 A__questionmark_v1) (|tptp.'fun_app$n'| _let_1 A__questionmark_v4))) (= A__questionmark_v1 A__questionmark_v4))))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'obj$'| (|tptp.'catCod$'| A__questionmark_v0))) (exists ((A__questionmark_v2 |tptp.'A$'|)) (and (|tptp.'member$i'| A__questionmark_v2 (|tptp.'obj$a'| (|tptp.'catDom$'| A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'objIso$'| (|tptp.'catCod$'| A__questionmark_v0) (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v1)))))) (|tptp.'equivalence_axioms$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'compDefined$'| |tptp.'set$'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| |tptp.'set$'|) A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunComp$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (=> (and (= (|tptp.'catDom$'| A__questionmark_v0) (|tptp.'catDom$'| A__questionmark_v1)) (= (|tptp.'catCod$'| A__questionmark_v0) (|tptp.'catCod$'| A__questionmark_v1)) (= (|tptp.'mapM$'| A__questionmark_v0) (|tptp.'mapM$'| A__questionmark_v1)) (= (|tptp.'more$c'| A__questionmark_v0) (|tptp.'more$c'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (= A__questionmark_v0 (|tptp.'functor_ext$'| (|tptp.'catDom$'| A__questionmark_v0) (|tptp.'catCod$'| A__questionmark_v0) (|tptp.'mapM$'| A__questionmark_v0) (|tptp.'more$c'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'B$'|)) (=> (and (|tptp.'functor$'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'isomorphism$'| (|tptp.'catDom$'| A__questionmark_v0)) A__questionmark_v1)) (|tptp.'fun_app$b'| (|tptp.'isomorphism$a'| (|tptp.'catCod$'| A__questionmark_v0)) (|tptp.'fun_app$n'| (|tptp.'mapM$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (=> (|tptp.'category$'| A__questionmark_v0) (|tptp.'functor$c'| (|tptp.'unitFunctor$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'B_ZF_fun$'|) (A__questionmark_v3 |tptp.'Unit$'|)) (= (|tptp.'mapM$'| (|tptp.'functor_ext$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2 A__questionmark_v3)) A__questionmark_v2)) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'isomorphism$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'member$h'| A__questionmark_v1 (|tptp.'mor$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'isomorphism$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'mor$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'inverse_rel$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$b'| (|tptp.'isomorphism$a'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'objIso$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (exists ((A__questionmark_v3 |tptp.'ZF$'|)) (and (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 A__questionmark_v3 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'isomorphism$a'| A__questionmark_v0) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'A$'|)) (= (|tptp.'fun_app$j'| (|tptp.'objIso$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (exists ((A__questionmark_v3 |tptp.'B$'|)) (and (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 A__questionmark_v3 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$i'| (|tptp.'isomorphism$'| A__questionmark_v0) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'isomorphism$a'| A__questionmark_v0))) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| _let_1 A__questionmark_v1) (|tptp.'fun_app$b'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$b'| _let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (let ((_let_1 (|tptp.'catDom$'| A__questionmark_v0))) (= (|tptp.'makeFtor$'| A__questionmark_v0) (|tptp.'functor_ext$'| _let_1 (|tptp.'catCod$'| A__questionmark_v0) (|tptp.'restrict$b'| (|tptp.'mapM$'| A__questionmark_v0) (|tptp.'mor$'| _let_1)) (|tptp.'more$c'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'isomorphism$'| A__questionmark_v0) A__questionmark_v1)) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) (|tptp.'fun_app$l'| (|tptp.'inverse$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1) (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v0) (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'isomorphism$a'| A__questionmark_v0) A__questionmark_v1)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'inverse$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v0) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'isomorphism$'| A__questionmark_v0) A__questionmark_v1)) (= (|tptp.'fun_app$l'| (|tptp.'fun_app$m'| (|tptp.'comp$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$l'| (|tptp.'inverse$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$o'| (|tptp.'id$'| A__questionmark_v0) (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'isomorphism$a'| A__questionmark_v0) A__questionmark_v1)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| (|tptp.'comp$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'inverse$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'id$a'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v0) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'isomorphism$'| A__questionmark_v0) A__questionmark_v1)) (= (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) (|tptp.'fun_app$l'| (|tptp.'inverse$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'isomorphism$a'| A__questionmark_v0) A__questionmark_v1)) (= (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'inverse$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'isomorphism$'| A__questionmark_v0) A__questionmark_v1)) (= (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) (|tptp.'fun_app$l'| (|tptp.'inverse$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'isomorphism$a'| A__questionmark_v0) A__questionmark_v1)) (= (|tptp.'fun_app$'| (|tptp.'cod$a'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'inverse$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'dom$a'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'isomorphism$a'| A__questionmark_v0))) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$b'| _let_1 (|tptp.'fun_app$'| (|tptp.'inverse$a'| A__questionmark_v0) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'inverse$a'| A__questionmark_v0))) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'isomorphism$a'| A__questionmark_v0) A__questionmark_v1)) (= (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$'| _let_1 A__questionmark_v1)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'inverse_rel$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (= (|tptp.'fun_app$'| (|tptp.'inverse$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|)) (=> (and (|tptp.'category$a'| A__questionmark_v0) (|tptp.'fun_app$i'| (|tptp.'isomorphism$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'member$h'| (|tptp.'fun_app$l'| (|tptp.'inverse$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'mor$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'isomorphism$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$d'| (|tptp.'member$b'| (|tptp.'fun_app$'| (|tptp.'inverse$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'mor$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'isomorphism$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 (|tptp.'fun_app$'| (|tptp.'inverse$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'inverse$a'| A__questionmark_v0))) (let ((_let_2 (|tptp.'isomorphism$a'| A__questionmark_v0))) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| _let_2 A__questionmark_v1) (|tptp.'fun_app$b'| _let_2 A__questionmark_v2)) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 (|tptp.'fun_app$'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$'| _let_1 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'isomorphism$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'inverse$a'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'isomorphism$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$b'| (|tptp.'inverse_rel$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'inverse$a'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'inverse$a'| A__questionmark_v0))) (let ((_let_2 (|tptp.'comp$'| A__questionmark_v0))) (let ((_let_3 (|tptp.'isomorphism$a'| A__questionmark_v0))) (=> (and (|tptp.'category$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| _let_3 A__questionmark_v1) (|tptp.'fun_app$b'| _let_3 A__questionmark_v2)) (= (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| _let_2 A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| _let_2 (|tptp.'fun_app$'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$'| _let_1 A__questionmark_v1)))))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (=> (|tptp.'member$e'| (|tptp.'mapM$'| A__questionmark_v0) (|tptp.'extensional$'| (|tptp.'mor$'| (|tptp.'catDom$'| A__questionmark_v0)))) (|tptp.'functorExt$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (=> (|tptp.'functorExt$'| A__questionmark_v0) (|tptp.'member$e'| (|tptp.'mapM$'| A__questionmark_v0) (|tptp.'extensional$'| (|tptp.'mor$'| (|tptp.'catDom$'| A__questionmark_v0)))))) (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|)) (= (|tptp.'functorExt$'| A__questionmark_v0) (|tptp.'member$e'| (|tptp.'mapM$'| A__questionmark_v0) (|tptp.'extensional$'| (|tptp.'mor$'| (|tptp.'catDom$'| A__questionmark_v0)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (=> (and (|tptp.'extCategory$'| A__questionmark_v0) (|tptp.'category_axioms$a'| A__questionmark_v0)) (|tptp.'category$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (= (|tptp.'category$'| A__questionmark_v0) (and (|tptp.'extCategory$'| A__questionmark_v0) (|tptp.'category_axioms$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (=> (|tptp.'extCategory$a'| A__questionmark_v0) (|tptp.'member$g'| (|tptp.'id$'| A__questionmark_v0) (|tptp.'extensional$a'| (|tptp.'obj$a'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (=> (|tptp.'extCategory$'| A__questionmark_v0) (|tptp.'member$d'| (|tptp.'id$a'| A__questionmark_v0) (|tptp.'extensional$b'| (|tptp.'obj$'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (=> (|tptp.'extCategory$a'| A__questionmark_v0) (|tptp.'member$f'| (|tptp.'dom$'| A__questionmark_v0) (|tptp.'extensional$c'| (|tptp.'mor$'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (=> (|tptp.'extCategory$'| A__questionmark_v0) (|tptp.'member$d'| (|tptp.'dom$a'| A__questionmark_v0) (|tptp.'extensional$b'| (|tptp.'mor$a'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (=> (|tptp.'extCategory$a'| A__questionmark_v0) (|tptp.'member$f'| (|tptp.'cod$'| A__questionmark_v0) (|tptp.'extensional$c'| (|tptp.'mor$'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (=> (|tptp.'extCategory$'| A__questionmark_v0) (|tptp.'member$d'| (|tptp.'cod$a'| A__questionmark_v0) (|tptp.'extensional$b'| (|tptp.'mor$a'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (=> (|tptp.'category$'| A__questionmark_v0) (|tptp.'extCategory$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (|tptp.'extCategory$'| (|tptp.'makeCat$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (=> (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'member$e'| (|tptp.'mor2ZF$'| A__questionmark_v0) (|tptp.'extensional$'| (|tptp.'mor$'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'mor$a'| |tptp.'set$'|)))) (forall ((A__questionmark_v0 |tptp.'Unit_unit_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v5 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v6 |tptp.'ZF_ZF_ZF_fun_fun$'|) (A__questionmark_v7 |tptp.'Unit$'|)) (= (|tptp.'more_update$'| A__questionmark_v0 (|tptp.'category_ext$a'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6 A__questionmark_v7)) (|tptp.'category_ext$a'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6 (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v7)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'compDefined$'| |tptp.'set$'| A__questionmark_v0) A__questionmark_v1) (=> (and (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v0) (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v1) (= (|tptp.'fun_app$'| |tptp.'zFfunCod$'| A__questionmark_v0) (|tptp.'fun_app$'| |tptp.'zFfunDom$'| A__questionmark_v1))) false)) false)) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| |tptp.'set$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (and (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v0) (= (|tptp.'fun_app$'| |tptp.'zFfunDom$'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$'| |tptp.'zFfunCod$'| A__questionmark_v0) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (= (|tptp.'fun_app$'| |tptp.'zFfunDom$'| A__questionmark_v0) (|tptp.'fun_app$'| |tptp.'zFfunDom$'| A__questionmark_v1)) (= (|tptp.'fun_app$'| |tptp.'zFfunCod$'| A__questionmark_v0) (|tptp.'fun_app$'| |tptp.'zFfunCod$'| A__questionmark_v1)) (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v0) (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) (|tptp.'fun_app$'| |tptp.'zFfunDom$'| A__questionmark_v0)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunApp$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunApp$'| A__questionmark_v1) A__questionmark_v2))))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) (|tptp.'fun_app$'| |tptp.'zFfunDom$'| A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunApp$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$'| |tptp.'zFfunCod$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'fun_app$k'| |tptp.'zFfunComp$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v0) (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v1) (= (|tptp.'fun_app$'| |tptp.'zFfunCod$'| A__questionmark_v2) (|tptp.'fun_app$'| |tptp.'zFfunDom$'| A__questionmark_v1)) (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v2) (= (|tptp.'fun_app$'| |tptp.'zFfunCod$'| A__questionmark_v0) (|tptp.'fun_app$'| |tptp.'zFfunDom$'| A__questionmark_v2))) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunComp$'| (|tptp.'fun_app$'| _let_1 A__questionmark_v2)) A__questionmark_v1) (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunComp$'| A__questionmark_v2) A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v0) (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v1) (= (|tptp.'fun_app$'| |tptp.'zFfunDom$'| A__questionmark_v1) (|tptp.'fun_app$'| |tptp.'zFfunCod$'| A__questionmark_v0))) (|tptp.'fun_app$b'| |tptp.'isZFfun$'| (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunComp$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunComp$'| A__questionmark_v0) A__questionmark_v1))) (=> (and (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v0) (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v1) (= (|tptp.'fun_app$'| |tptp.'zFfunDom$'| A__questionmark_v1) (|tptp.'fun_app$'| |tptp.'zFfunCod$'| A__questionmark_v0))) (and (= (|tptp.'fun_app$'| |tptp.'zFfunDom$'| _let_1) (|tptp.'fun_app$'| |tptp.'zFfunDom$'| A__questionmark_v0)) (= (|tptp.'fun_app$'| |tptp.'zFfunCod$'| _let_1) (|tptp.'fun_app$'| |tptp.'zFfunCod$'| A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|)) (let ((_let_1 (|tptp.'zFfun$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2))) (=> (|tptp.'fun_app$b'| |tptp.'isZFfun$'| _let_1) (= (|tptp.'fun_app$'| (|tptp.'cod$a'| |tptp.'set$'|) _let_1) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|)) (let ((_let_1 (|tptp.'zFfun$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2))) (=> (|tptp.'fun_app$b'| |tptp.'isZFfun$'| _let_1) (= (|tptp.'fun_app$'| (|tptp.'dom$a'| |tptp.'set$'|) _let_1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (not (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_bool_fun$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (not (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v2)) (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v3)))) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v2) (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v3))) (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2)))) (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (forall ((A__questionmark_v4 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v4) A__questionmark_v0) (= (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v4)))) (= (|tptp.'zFfun$'| A__questionmark_v0 A__questionmark_v3 A__questionmark_v1) (|tptp.'zFfun$'| A__questionmark_v0 A__questionmark_v3 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|)) (= (|tptp.'fun_app$'| |tptp.'zFfunDom$'| (|tptp.'zFfun$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|)) (= (|tptp.'fun_app$'| |tptp.'zFfunCod$'| (|tptp.'zFfun$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v3)) A__questionmark_v2))) (|tptp.'fun_app$b'| |tptp.'isZFfun$'| (|tptp.'zFfun$'| A__questionmark_v0 A__questionmark_v2 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunApp$'| (|tptp.'zFfun$'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3)) A__questionmark_v0) (|tptp.'fun_app$'| A__questionmark_v3 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'elem$'| A__questionmark_v2))) (= (|tptp.'fun_app$b'| _let_1 A__questionmark_v0) (|tptp.'fun_app$b'| _let_1 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (not (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) A__questionmark_v1) (not (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_bool_fun$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (and (forall ((A__questionmark_v4 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'elem$'| A__questionmark_v4))) (=> (and (|tptp.'fun_app$b'| _let_1 A__questionmark_v3) (|tptp.'fun_app$b'| _let_1 A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v4)))) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3))) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'B$'|)) (= (|tptp.'fun_app$n'| (|tptp.'homFtorMap$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'zFfun$'| (|tptp.'homSet$'| A__questionmark_v0 A__questionmark_v1 (|tptp.'fun_app$q'| (|tptp.'dom$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'homSet$'| A__questionmark_v0 A__questionmark_v1 (|tptp.'fun_app$q'| (|tptp.'cod$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'uuj$'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'Nat_ZF_fun$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'seqSum$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$w'| A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun$'|)) (=> (forall ((A__questionmark_v5 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v5) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v5)) A__questionmark_v2))) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunComp$'| (|tptp.'zFfun$'| A__questionmark_v0 A__questionmark_v2 A__questionmark_v1)) (|tptp.'zFfun$'| A__questionmark_v2 A__questionmark_v3 A__questionmark_v4)) (|tptp.'zFfun$'| A__questionmark_v0 A__questionmark_v3 (|tptp.'fun_app$t'| (|tptp.'comp$b'| A__questionmark_v4) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v0) (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v1) (= (|tptp.'fun_app$'| |tptp.'zFfunDom$'| A__questionmark_v1) (|tptp.'fun_app$'| |tptp.'zFfunCod$'| A__questionmark_v0))) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunComp$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'zFfun$'| (|tptp.'fun_app$'| |tptp.'zFfunDom$'| A__questionmark_v0) (|tptp.'fun_app$'| |tptp.'zFfunCod$'| A__questionmark_v1) (|tptp.'fun_app$k'| (|tptp.'uuk$'| A__questionmark_v0) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'fun_app$'| |tptp.'zFfunDom$'| A__questionmark_v0))) (=> (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v0) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunComp$'| (|tptp.'zFfun$'| _let_1 _let_1 |tptp.'uul$'|)) A__questionmark_v0) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'fun_app$'| |tptp.'zFfunCod$'| A__questionmark_v0))) (=> (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v0) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunComp$'| A__questionmark_v0) (|tptp.'zFfun$'| _let_1 _let_1 |tptp.'uul$'|)) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| |tptp.'set$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'zFfun$'| A__questionmark_v1 A__questionmark_v2 (|tptp.'fun_app$k'| |tptp.'zFfunApp$'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v0) (= A__questionmark_v0 (|tptp.'zFfun$'| (|tptp.'fun_app$'| |tptp.'zFfunDom$'| A__questionmark_v0) (|tptp.'fun_app$'| |tptp.'zFfunCod$'| A__questionmark_v0) (|tptp.'fun_app$k'| |tptp.'zFfunApp$'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunComp$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'zFfun$'| (|tptp.'fun_app$'| |tptp.'zFfunDom$'| A__questionmark_v0) (|tptp.'fun_app$'| |tptp.'zFfunCod$'| A__questionmark_v1) (|tptp.'fun_app$k'| (|tptp.'uuk$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (= (|tptp.'oppositeCategory$'| A__questionmark_v0) (|tptp.'category_ext$'| (|tptp.'obj$a'| A__questionmark_v0) (|tptp.'mor$'| A__questionmark_v0) (|tptp.'cod$'| A__questionmark_v0) (|tptp.'dom$'| A__questionmark_v0) (|tptp.'id$'| A__questionmark_v0) (|tptp.'uum$'| A__questionmark_v0) (|tptp.'more$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (= (|tptp.'oppositeCategory$a'| A__questionmark_v0) (|tptp.'category_ext$a'| (|tptp.'obj$'| A__questionmark_v0) (|tptp.'mor$a'| A__questionmark_v0) (|tptp.'cod$a'| A__questionmark_v0) (|tptp.'dom$a'| A__questionmark_v0) (|tptp.'id$a'| A__questionmark_v0) (|tptp.'uun$'| A__questionmark_v0) (|tptp.'more$b'| A__questionmark_v0)))) _let_4 (forall ((A__questionmark_v0 |tptp.'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'|) (A__questionmark_v1 |tptp.'A$'|)) (= (|tptp.'mapO$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'the$'| (|tptp.'uuq$'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (=> (forall ((A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v5 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v6 |tptp.'ZF_ZF_ZF_fun_fun$'|)) (=> (= A__questionmark_v0 (|tptp.'category_ext$a'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6 |tptp.'unity$'|)) false)) false)) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (=> (|tptp.'category$'| A__questionmark_v0) (|tptp.'category$'| (|tptp.'oppositeCategory$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| (|tptp.'oppositeCategory$a'| A__questionmark_v0) A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v3) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|)) (=> (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| (|tptp.'oppositeCategory$'| A__questionmark_v0) A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v3) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$b'| (|tptp.'mapsTo$a'| (|tptp.'oppositeCategory$a'| A__questionmark_v0) A__questionmark_v1 A__questionmark_v3) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|)) (=> (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$j'| (|tptp.'mapsTo$'| (|tptp.'oppositeCategory$'| A__questionmark_v0) A__questionmark_v1 A__questionmark_v3) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'compDefined$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'compDefined$'| (|tptp.'oppositeCategory$a'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|)) (= (|tptp.'homFtor$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'functor_ext$'| A__questionmark_v0 |tptp.'set$'| (|tptp.'homFtorMap$'| A__questionmark_v0 A__questionmark_v1) |tptp.'unity$'|))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$p'| (|tptp.'zF2mor$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'the$a'| (|tptp.'uur$'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (let ((_let_1 (|tptp.'obj$a'| A__questionmark_v0))) (let ((_let_2 (|tptp.'mor$'| A__questionmark_v0))) (= (|tptp.'makeCat$a'| A__questionmark_v0) (|tptp.'category_ext$'| _let_1 _let_2 (|tptp.'restrict$c'| (|tptp.'dom$'| A__questionmark_v0) _let_2) (|tptp.'restrict$c'| (|tptp.'cod$'| A__questionmark_v0) _let_2) (|tptp.'restrict$d'| (|tptp.'id$'| A__questionmark_v0) _let_1) (|tptp.'uut$'| A__questionmark_v0) (|tptp.'more$a'| A__questionmark_v0)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (let ((_let_1 (|tptp.'obj$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'mor$a'| A__questionmark_v0))) (= (|tptp.'makeCat$'| A__questionmark_v0) (|tptp.'category_ext$a'| _let_1 _let_2 (|tptp.'restrict$e'| (|tptp.'dom$a'| A__questionmark_v0) _let_2) (|tptp.'restrict$e'| (|tptp.'cod$a'| A__questionmark_v0) _let_2) (|tptp.'restrict$e'| (|tptp.'id$a'| A__questionmark_v0) _let_1) (|tptp.'uuv$'| A__questionmark_v0) (|tptp.'more$b'| A__questionmark_v0)))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (let ((_let_1 (|tptp.'extensional$c'| (|tptp.'mor$'| A__questionmark_v0)))) (= (|tptp.'extCategory$a'| A__questionmark_v0) (and (|tptp.'member$f'| (|tptp.'dom$'| A__questionmark_v0) _let_1) (|tptp.'member$f'| (|tptp.'cod$'| A__questionmark_v0) _let_1) (|tptp.'member$g'| (|tptp.'id$'| A__questionmark_v0) (|tptp.'extensional$a'| (|tptp.'obj$a'| A__questionmark_v0))) (|tptp.'member$j'| (|tptp.'case_prod$a'| (|tptp.'comp$a'| A__questionmark_v0)) (|tptp.'extensional$d'| (|tptp.'collect$a'| (|tptp.'uus$'| A__questionmark_v0)))))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (let ((_let_1 (|tptp.'extensional$b'| (|tptp.'mor$a'| A__questionmark_v0)))) (= (|tptp.'extCategory$'| A__questionmark_v0) (and (|tptp.'member$d'| (|tptp.'dom$a'| A__questionmark_v0) _let_1) (|tptp.'member$d'| (|tptp.'cod$a'| A__questionmark_v0) _let_1) (|tptp.'member$d'| (|tptp.'id$a'| A__questionmark_v0) (|tptp.'extensional$b'| (|tptp.'obj$'| A__questionmark_v0))) (|tptp.'member$k'| (|tptp.'case_prod$'| (|tptp.'comp$'| A__questionmark_v0)) (|tptp.'extensional$e'| (|tptp.'collect$'| (|tptp.'uuu$'| A__questionmark_v0)))))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (let ((_let_1 (|tptp.'extensional$c'| (|tptp.'mor$'| A__questionmark_v0)))) (=> (and (|tptp.'member$f'| (|tptp.'dom$'| A__questionmark_v0) _let_1) (|tptp.'member$f'| (|tptp.'cod$'| A__questionmark_v0) _let_1) (|tptp.'member$g'| (|tptp.'id$'| A__questionmark_v0) (|tptp.'extensional$a'| (|tptp.'obj$a'| A__questionmark_v0))) (|tptp.'member$j'| (|tptp.'case_prod$a'| (|tptp.'comp$a'| A__questionmark_v0)) (|tptp.'extensional$d'| (|tptp.'collect$a'| (|tptp.'uus$'| A__questionmark_v0))))) (|tptp.'extCategory$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (let ((_let_1 (|tptp.'extensional$b'| (|tptp.'mor$a'| A__questionmark_v0)))) (=> (and (|tptp.'member$d'| (|tptp.'dom$a'| A__questionmark_v0) _let_1) (|tptp.'member$d'| (|tptp.'cod$a'| A__questionmark_v0) _let_1) (|tptp.'member$d'| (|tptp.'id$a'| A__questionmark_v0) (|tptp.'extensional$b'| (|tptp.'obj$'| A__questionmark_v0))) (|tptp.'member$k'| (|tptp.'case_prod$'| (|tptp.'comp$'| A__questionmark_v0)) (|tptp.'extensional$e'| (|tptp.'collect$'| (|tptp.'uuu$'| A__questionmark_v0))))) (|tptp.'extCategory$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|)) (=> (|tptp.'extCategory$'| A__questionmark_v0) (|tptp.'member$k'| (|tptp.'case_prod$'| (|tptp.'comp$'| A__questionmark_v0)) (|tptp.'extensional$e'| (|tptp.'collect$'| (|tptp.'uuu$'| A__questionmark_v0)))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'A$'|)) (= (|tptp.'hOMCollection$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'collect$d'| (|tptp.'uuw$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)))) _let_2 (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'A$'|)) (= (|tptp.'homSet$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'implode$'| (|tptp.'hOMCollection$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF_set_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v5 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v6 |tptp.'ZF_ZF_ZF_fun_fun$'|) (A__questionmark_v7 |tptp.'Unit$'|)) (= (|tptp.'obj_update$'| A__questionmark_v0 (|tptp.'category_ext$a'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6 A__questionmark_v7)) (|tptp.'category_ext$a'| (|tptp.'fun_app$x'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6 A__questionmark_v7))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'A_set$'|) (A__questionmark_v3 |tptp.'A_set_a_set_fun$'|) (A__questionmark_v4 |tptp.'A_set_a_set_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'obj$a'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'A_set$'|)) (=> (= A__questionmark_v5 A__questionmark_v2) (= (|tptp.'fun_app$y'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$y'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'obj_update$a'| A__questionmark_v3 A__questionmark_v0) (|tptp.'obj_update$a'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_set_ZF_set_fun$'|) (A__questionmark_v4 |tptp.'ZF_set_ZF_set_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'obj$'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'ZF_set$'|)) (=> (= A__questionmark_v5 A__questionmark_v2) (= (|tptp.'fun_app$x'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$x'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'obj_update$'| A__questionmark_v3 A__questionmark_v0) (|tptp.'obj_update$'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'A_set$'|) (A__questionmark_v3 |tptp.'A_set_a_set_fun$'|) (A__questionmark_v4 |tptp.'A_set_a_set_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'obj$a'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'A_set$'|)) (=> (= A__questionmark_v2 A__questionmark_v5) (= (|tptp.'fun_app$y'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$y'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'obj_update$a'| A__questionmark_v3 A__questionmark_v0) (|tptp.'obj_update$a'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_set_ZF_set_fun$'|) (A__questionmark_v4 |tptp.'ZF_set_ZF_set_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'obj$'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'ZF_set$'|)) (=> (= A__questionmark_v2 A__questionmark_v5) (= (|tptp.'fun_app$x'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$x'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'obj_update$'| A__questionmark_v3 A__questionmark_v0) (|tptp.'obj_update$'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_set_ZF_set_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v5 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v6 |tptp.'ZF_ZF_ZF_fun_fun$'|) (A__questionmark_v7 |tptp.'Unit$'|)) (= (|tptp.'mor_update$'| A__questionmark_v0 (|tptp.'category_ext$a'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6 A__questionmark_v7)) (|tptp.'category_ext$a'| A__questionmark_v1 (|tptp.'fun_app$x'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6 A__questionmark_v7))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'B_set$'|) (A__questionmark_v3 |tptp.'B_set_b_set_fun$'|) (A__questionmark_v4 |tptp.'B_set_b_set_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'mor$'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'B_set$'|)) (=> (= A__questionmark_v5 A__questionmark_v2) (= (|tptp.'fun_app$z'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$z'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'mor_update$a'| A__questionmark_v3 A__questionmark_v0) (|tptp.'mor_update$a'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_set_ZF_set_fun$'|) (A__questionmark_v4 |tptp.'ZF_set_ZF_set_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'mor$a'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'ZF_set$'|)) (=> (= A__questionmark_v5 A__questionmark_v2) (= (|tptp.'fun_app$x'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$x'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'mor_update$'| A__questionmark_v3 A__questionmark_v0) (|tptp.'mor_update$'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'B_set$'|) (A__questionmark_v3 |tptp.'B_set_b_set_fun$'|) (A__questionmark_v4 |tptp.'B_set_b_set_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'mor$'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'B_set$'|)) (=> (= A__questionmark_v2 A__questionmark_v5) (= (|tptp.'fun_app$z'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$z'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'mor_update$a'| A__questionmark_v3 A__questionmark_v0) (|tptp.'mor_update$a'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_set_ZF_set_fun$'|) (A__questionmark_v4 |tptp.'ZF_set_ZF_set_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'mor$a'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'ZF_set$'|)) (=> (= A__questionmark_v2 A__questionmark_v5) (= (|tptp.'fun_app$x'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$x'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'mor_update$'| A__questionmark_v3 A__questionmark_v0) (|tptp.'mor_update$'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun_ZF_ZF_fun_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v5 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v6 |tptp.'ZF_ZF_ZF_fun_fun$'|) (A__questionmark_v7 |tptp.'Unit$'|)) (= (|tptp.'dom_update$'| A__questionmark_v0 (|tptp.'category_ext$a'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6 A__questionmark_v7)) (|tptp.'category_ext$a'| A__questionmark_v1 A__questionmark_v2 (|tptp.'fun_app$t'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4 A__questionmark_v5 A__questionmark_v6 A__questionmark_v7))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun_ZF_ZF_fun_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v5 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v6 |tptp.'ZF_ZF_ZF_fun_fun$'|) (A__questionmark_v7 |tptp.'Unit$'|)) (= (|tptp.'cod_update$'| A__questionmark_v0 (|tptp.'category_ext$a'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6 A__questionmark_v7)) (|tptp.'category_ext$a'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 (|tptp.'fun_app$t'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v5 A__questionmark_v6 A__questionmark_v7))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_fun_ZF_ZF_fun_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v5 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v6 |tptp.'ZF_ZF_ZF_fun_fun$'|) (A__questionmark_v7 |tptp.'Unit$'|)) (= (|tptp.'id_update$'| A__questionmark_v0 (|tptp.'category_ext$a'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6 A__questionmark_v7)) (|tptp.'category_ext$a'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 (|tptp.'fun_app$t'| A__questionmark_v0 A__questionmark_v5) A__questionmark_v6 A__questionmark_v7))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun_ZF_ZF_fun_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun_ZF_ZF_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'id$a'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'ZF_ZF_fun$'|)) (=> (= A__questionmark_v2 A__questionmark_v5) (= (|tptp.'fun_app$t'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$t'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'id_update$'| A__questionmark_v3 A__questionmark_v0) (|tptp.'id_update$'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun_ZF_ZF_fun_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun_ZF_ZF_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'id$a'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'ZF_ZF_fun$'|)) (=> (= A__questionmark_v5 A__questionmark_v2) (= (|tptp.'fun_app$t'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$t'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'id_update$'| A__questionmark_v3 A__questionmark_v0) (|tptp.'id_update$'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'B_a_fun$'|) (A__questionmark_v3 |tptp.'B_a_fun_b_a_fun_fun$'|) (A__questionmark_v4 |tptp.'B_a_fun_b_a_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'dom$'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'B_a_fun$'|)) (=> (= A__questionmark_v5 A__questionmark_v2) (= (|tptp.'fun_app$aa'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$aa'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'dom_update$a'| A__questionmark_v3 A__questionmark_v0) (|tptp.'dom_update$a'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun_ZF_ZF_fun_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun_ZF_ZF_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'dom$a'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'ZF_ZF_fun$'|)) (=> (= A__questionmark_v5 A__questionmark_v2) (= (|tptp.'fun_app$t'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$t'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'dom_update$'| A__questionmark_v3 A__questionmark_v0) (|tptp.'dom_update$'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'B_a_fun$'|) (A__questionmark_v3 |tptp.'B_a_fun_b_a_fun_fun$'|) (A__questionmark_v4 |tptp.'B_a_fun_b_a_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'cod$'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'B_a_fun$'|)) (=> (= A__questionmark_v5 A__questionmark_v2) (= (|tptp.'fun_app$aa'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$aa'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'cod_update$a'| A__questionmark_v3 A__questionmark_v0) (|tptp.'cod_update$a'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun_ZF_ZF_fun_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun_ZF_ZF_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'cod$a'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'ZF_ZF_fun$'|)) (=> (= A__questionmark_v5 A__questionmark_v2) (= (|tptp.'fun_app$t'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$t'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'cod_update$'| A__questionmark_v3 A__questionmark_v0) (|tptp.'cod_update$'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'B_a_fun$'|) (A__questionmark_v3 |tptp.'B_a_fun_b_a_fun_fun$'|) (A__questionmark_v4 |tptp.'B_a_fun_b_a_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'dom$'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'B_a_fun$'|)) (=> (= A__questionmark_v2 A__questionmark_v5) (= (|tptp.'fun_app$aa'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$aa'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'dom_update$a'| A__questionmark_v3 A__questionmark_v0) (|tptp.'dom_update$a'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun_ZF_ZF_fun_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun_ZF_ZF_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'dom$a'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'ZF_ZF_fun$'|)) (=> (= A__questionmark_v2 A__questionmark_v5) (= (|tptp.'fun_app$t'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$t'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'dom_update$'| A__questionmark_v3 A__questionmark_v0) (|tptp.'dom_update$'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v2 |tptp.'B_a_fun$'|) (A__questionmark_v3 |tptp.'B_a_fun_b_a_fun_fun$'|) (A__questionmark_v4 |tptp.'B_a_fun_b_a_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'cod$'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'B_a_fun$'|)) (=> (= A__questionmark_v2 A__questionmark_v5) (= (|tptp.'fun_app$aa'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$aa'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'cod_update$a'| A__questionmark_v3 A__questionmark_v0) (|tptp.'cod_update$a'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun_ZF_ZF_fun_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun_ZF_ZF_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'cod$a'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'ZF_ZF_fun$'|)) (=> (= A__questionmark_v2 A__questionmark_v5) (= (|tptp.'fun_app$t'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$t'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'cod_update$'| A__questionmark_v3 A__questionmark_v0) (|tptp.'cod_update$'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$'|) (A__questionmark_v1 |tptp.'ZF_set$'|) (A__questionmark_v2 |tptp.'ZF_set$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v5 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v6 |tptp.'ZF_ZF_ZF_fun_fun$'|) (A__questionmark_v7 |tptp.'Unit$'|)) (= (|tptp.'comp_update$'| A__questionmark_v0 (|tptp.'category_ext$a'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 A__questionmark_v6 A__questionmark_v7)) (|tptp.'category_ext$a'| A__questionmark_v1 A__questionmark_v2 A__questionmark_v3 A__questionmark_v4 A__questionmark_v5 (|tptp.'fun_app$ab'| A__questionmark_v0 A__questionmark_v6) A__questionmark_v7))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_ZF_fun_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'ZF_ZF_ZF_fun_fun$'|)) (=> (= A__questionmark_v2 A__questionmark_v5) (= (|tptp.'fun_app$ab'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$ab'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'comp_update$'| A__questionmark_v3 A__questionmark_v0) (|tptp.'comp_update$'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v1 |tptp.'ZF_ZF_unit_Category_ext$'|) (A__questionmark_v2 |tptp.'ZF_ZF_ZF_fun_fun$'|) (A__questionmark_v3 |tptp.'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$'|) (A__questionmark_v4 |tptp.'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'comp$'| A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v5 |tptp.'ZF_ZF_ZF_fun_fun$'|)) (=> (= A__questionmark_v5 A__questionmark_v2) (= (|tptp.'fun_app$ab'| A__questionmark_v3 A__questionmark_v5) (|tptp.'fun_app$ab'| A__questionmark_v4 A__questionmark_v5))))) (= (|tptp.'comp_update$'| A__questionmark_v3 A__questionmark_v0) (|tptp.'comp_update$'| A__questionmark_v4 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (= (|tptp.'lSCategory_axioms$'| A__questionmark_v0) (and (forall ((A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mor2ZF$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'mor$'| A__questionmark_v0))) (=> (and (|tptp.'member$h'| A__questionmark_v1 _let_2) (|tptp.'member$h'| A__questionmark_v2 _let_2) (= (|tptp.'fun_app$n'| _let_1 A__questionmark_v1) (|tptp.'fun_app$n'| _let_1 A__questionmark_v2))) (= A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'A$'|)) (let ((_let_1 (|tptp.'obj$a'| A__questionmark_v0))) (=> (and (|tptp.'member$i'| A__questionmark_v1 _let_1) (|tptp.'member$i'| A__questionmark_v2 _let_1)) (|tptp.'member$c'| (|tptp.'hOMCollection$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'image$'| |tptp.'explode$'| |tptp.'top$'|))))) (|tptp.'member$e'| (|tptp.'mor2ZF$'| A__questionmark_v0) (|tptp.'extensional$'| (|tptp.'mor$'| A__questionmark_v0)))))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'B$'|) (A__questionmark_v2 |tptp.'B$'|)) (let ((_let_1 (|tptp.'mor2ZF$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'mor$'| A__questionmark_v0))) (=> (and (|tptp.'member$h'| A__questionmark_v1 _let_2) (|tptp.'member$h'| A__questionmark_v2 _let_2) (= (|tptp.'fun_app$n'| _let_1 A__questionmark_v1) (|tptp.'fun_app$n'| _let_1 A__questionmark_v2))) (= A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'A$'|)) (let ((_let_1 (|tptp.'obj$a'| A__questionmark_v0))) (=> (and (|tptp.'member$i'| A__questionmark_v1 _let_1) (|tptp.'member$i'| A__questionmark_v2 _let_1)) (|tptp.'member$c'| (|tptp.'hOMCollection$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'image$'| |tptp.'explode$'| |tptp.'top$'|))))) (|tptp.'member$e'| (|tptp.'mor2ZF$'| A__questionmark_v0) (|tptp.'extensional$'| (|tptp.'mor$'| A__questionmark_v0)))) (|tptp.'lSCategory_axioms$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'set_like$'| A__questionmark_v0) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'ext_ZF$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'member$'| (|tptp.'pair$'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'fun_app$ac'| |tptp.'explode$'| A__questionmark_v0) (|tptp.'collect$d'| (|tptp.'uuy$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_b_b_c_LSCategory_ext_Category_ext$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'A$'|)) (let ((_let_1 (|tptp.'obj$a'| A__questionmark_v0))) (=> (and (|tptp.'lSCategory$'| A__questionmark_v0) (|tptp.'member$i'| A__questionmark_v1 _let_1) (|tptp.'member$i'| A__questionmark_v2 _let_1)) (|tptp.'member$c'| (|tptp.'hOMCollection$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'image$'| |tptp.'explode$'| |tptp.'top$'|))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) (|tptp.'fun_app$ac'| |tptp.'explode$'| A__questionmark_v1)) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF_set$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'member$c'| A__questionmark_v0 (|tptp.'image$'| |tptp.'explode$'| |tptp.'top$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) (|tptp.'implode$'| A__questionmark_v0)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'fun_app$'| (|tptp.'ext_ZF_hull$'| A__questionmark_v0) A__questionmark_v2))) (=> (and (|tptp.'set_like$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) _let_1) (|tptp.'member$'| (|tptp.'pair$'| A__questionmark_v3 A__questionmark_v1) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) _let_1)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'set_like$'| A__questionmark_v0) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'ext_ZF_hull$'| A__questionmark_v0) A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) (|tptp.'fun_app$w'| (|tptp.'ext_ZF_n$'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|)) (= (|tptp.'regular$'| A__questionmark_v0) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (not (= A__questionmark_v1 |tptp.'empty$'|)) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) A__questionmark_v1) (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'member$'| (|tptp.'pair$'| A__questionmark_v3 A__questionmark_v2) A__questionmark_v0) (not (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v1)))))))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (not (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) |tptp.'empty$'|))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (=> (not (= A__questionmark_v0 |tptp.'empty$'|)) (exists ((A__questionmark_v1 |tptp.'ZF$'|)) (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'elem$'| A__questionmark_v2))) (=> (|tptp.'fun_app$b'| _let_1 A__questionmark_v1) (not (|tptp.'fun_app$b'| _let_1 A__questionmark_v0))))))))) (|tptp.'fun_app$b'| _let_1 |tptp.'nat$'|) (and (|tptp.'fun_app$b'| _let_1 |tptp.'inf$'|) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) |tptp.'inf$'|) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| |tptp.'sucNat$'| A__questionmark_v0)) |tptp.'inf$'|)))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'set_like$'| A__questionmark_v0) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'ext$'| (|tptp.'trancl$'| A__questionmark_v0) A__questionmark_v2))) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'ext_ZF_hull$'| A__questionmark_v0) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) |tptp.'nat$'|) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| |tptp.'sucNat$'| A__questionmark_v0)) |tptp.'nat$'|))) (forall ((A__questionmark_v0 |tptp.'ZF_ZF_prod_set$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'Nat$'|)) (=> (and (|tptp.'set_like$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) (|tptp.'fun_app$w'| (|tptp.'ext_ZF_n$'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3))) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v1) (|tptp.'ext$'| (|tptp.'trancl$'| A__questionmark_v0) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$w'| |tptp.'nat2Nat$'| A__questionmark_v0)) |tptp.'inf$'|)) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$w'| |tptp.'nat2Nat$'| A__questionmark_v0)) |tptp.'nat$'|)) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) |tptp.'nat$'|) (= (|tptp.'of_nat$'| (|tptp.'nat2nat$'| (|tptp.'fun_app$'| |tptp.'sucNat$'| A__questionmark_v0))) (+ (|tptp.'of_nat$'| (|tptp.'nat2nat$'| A__questionmark_v0)) 1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) |tptp.'nat$'|) (= (|tptp.'fun_app$w'| |tptp.'nat2Nat$'| (|tptp.'nat2nat$'| A__questionmark_v0)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) |tptp.'nat$'|) (not (= (|tptp.'of_nat$'| (|tptp.'nat2nat$'| (|tptp.'fun_app$'| |tptp.'sucNat$'| A__questionmark_v0))) 0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'elem$'| A__questionmark_v0))) (= (|tptp.'fun_app$b'| _let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'union$'| A__questionmark_v1) A__questionmark_v2)) (or (|tptp.'fun_app$b'| _let_1 A__questionmark_v1) (|tptp.'fun_app$b'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF_set$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$d'| (|tptp.'less_eq$'| (|tptp.'fun_app$ac'| |tptp.'explode$'| A__questionmark_v1)) A__questionmark_v2)) (|tptp.'fun_app$d'| (|tptp.'member$b'| A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'union$'| A__questionmark_v1) A__questionmark_v2)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| |tptp.'nat$'|) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| |tptp.'empty$'|) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'elem$'| A__questionmark_v2))) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$b'| _let_1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| |tptp.'product$'| A__questionmark_v1)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| |tptp.'power$'| A__questionmark_v1)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'cartProd$'| A__questionmark_v1) A__questionmark_v2)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| |tptp.'sum$'| A__questionmark_v1)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| |tptp.'singleton$'| A__questionmark_v1)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'upair$'| A__questionmark_v1) A__questionmark_v2)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'upair$'| A__questionmark_v1) A__questionmark_v2)) (or (= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$'| |tptp.'singleton$'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$'| |tptp.'sum$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'elem$'| |tptp.'empty$'|) A__questionmark_v0) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'subset$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| |tptp.'singleton$'| A__questionmark_v1)) A__questionmark_v0))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| |tptp.'power$'| A__questionmark_v1)) A__questionmark_v0))) (forall ((A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'fun$'| A__questionmark_v1) A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| |tptp.'sum$'| (|tptp.'fun_app$'| |tptp.'range$'| A__questionmark_v2))) A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'elem$'| |tptp.'nat$'|) A__questionmark_v0)) (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (and (|tptp.'fun_app$b'| (|tptp.'elem$'| |tptp.'empty$'|) A__questionmark_v0) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'subset$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| |tptp.'singleton$'| A__questionmark_v1)) A__questionmark_v0))) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| |tptp.'power$'| A__questionmark_v1)) A__questionmark_v0))) (forall ((A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'fun$'| A__questionmark_v1) A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| |tptp.'sum$'| (|tptp.'fun_app$'| |tptp.'range$'| A__questionmark_v2))) A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'elem$'| |tptp.'nat$'|) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$'| |tptp.'power$'| A__questionmark_v1)) (|tptp.'fun_app$b'| (|tptp.'subset$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'fun$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$b'| (|tptp.'subset$'| (|tptp.'fun_app$'| |tptp.'range$'| A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'subset$'| A__questionmark_v0) A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'elem$'| A__questionmark_v2))) (=> (|tptp.'fun_app$b'| _let_1 A__questionmark_v0) (|tptp.'fun_app$b'| _let_1 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'fun$'| A__questionmark_v1) A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| |tptp.'sum$'| (|tptp.'fun_app$'| |tptp.'range$'| A__questionmark_v2))) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'subset$'| A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'subset$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'elem$'| A__questionmark_v0))) (=> (|tptp.'fun_app$b'| _let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'fun$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$b'| _let_1 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'pFun$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'lambda$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'fun$'| A__questionmark_v2) A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (forall ((A__questionmark_v4 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v4) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v4)) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'fun$'| A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF_ZF_fun$'|)) (= A__questionmark_v0 (|tptp.'lambda$'| A__questionmark_v1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF_ZF_fun$'|)) (= (= (|tptp.'lambda$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'lambda$'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (forall ((A__questionmark_v4 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v4) A__questionmark_v0) (= (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$'| A__questionmark_v3 A__questionmark_v4))))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_ZF_fun$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v3)) A__questionmark_v2))) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'lambda$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'fun$'| A__questionmark_v0) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) A__questionmark_v1) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'app$'| (|tptp.'lambda$'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v0) (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|)) (= (|tptp.'zFfun$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'opair$'| (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'opair$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'lambda$'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'cartProd$'| A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF$'|) (A__questionmark_v4 |tptp.'ZF$'|)) (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v1) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v4) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'opair$'| A__questionmark_v3) A__questionmark_v4)))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'app$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'the$'| (|tptp.'uuz$'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'opair$'| A__questionmark_v0) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'universe$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'opair$'| A__questionmark_v1) A__questionmark_v2)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$'| |tptp.'range$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'opair$'| A__questionmark_v2) A__questionmark_v0)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'fun$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v1)) (exists ((A__questionmark_v4 |tptp.'ZF$'|)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'opair$'| A__questionmark_v3) A__questionmark_v4)) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'fun_app$'| |tptp.'domain$'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$b'| |tptp.'isFun$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'subset$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'cartProd$'| _let_1) (|tptp.'fun_app$'| |tptp.'range$'| A__questionmark_v0)))) (= A__questionmark_v0 (|tptp.'lambda$'| _let_1 (|tptp.'fun_app$k'| |tptp.'app$'| A__questionmark_v0)))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'fun_app$'| |tptp.'product$'| A__questionmark_v0) (|tptp.'sep$'| (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'fun$'| A__questionmark_v0) (|tptp.'fun_app$'| |tptp.'sum$'| A__questionmark_v0)) (|tptp.'uva$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| |tptp.'isFun$'| A__questionmark_v0) (forall ((A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'fun_app$k'| |tptp.'opair$'| A__questionmark_v1))) (=> (and (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| _let_1 A__questionmark_v2)) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| _let_1 A__questionmark_v3)) A__questionmark_v0)) (= A__questionmark_v2 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'isFun$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) (|tptp.'fun_app$'| |tptp.'domain$'| A__questionmark_v0))) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (and (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'opair$'| A__questionmark_v1) A__questionmark_v2)) A__questionmark_v0) (forall ((A__questionmark_v3 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'opair$'| A__questionmark_v1) A__questionmark_v3)) A__questionmark_v0) (= A__questionmark_v3 A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF_bool_fun$'|)) (let ((_let_1 (|tptp.'elem$'| A__questionmark_v0))) (= (|tptp.'fun_app$b'| _let_1 (|tptp.'sep$'| A__questionmark_v1 A__questionmark_v2)) (and (|tptp.'fun_app$b'| _let_1 A__questionmark_v1) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'isFun$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) (|tptp.'fun_app$'| |tptp.'domain$'| A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'opair$'| A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'app$'| A__questionmark_v0) A__questionmark_v1))) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'isFun$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) (|tptp.'fun_app$'| |tptp.'domain$'| A__questionmark_v0))) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'app$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$'| |tptp.'range$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| |tptp.'isFun$'| A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) (|tptp.'fun_app$'| |tptp.'range$'| A__questionmark_v0))) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) (|tptp.'fun_app$'| |tptp.'domain$'| A__questionmark_v0)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'app$'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$'| |tptp.'domain$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'ZF$'|)) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'opair$'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1)))) (not (exists ((A__questionmark_v0 |tptp.'ZF$'|)) (and (|tptp.'fun_app$b'| |tptp.'isFun$'| A__questionmark_v0) (= (|tptp.'fun_app$'| |tptp.'domain$'| A__questionmark_v0) |tptp.'nat$'|) (forall ((A__questionmark_v1 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'fun_app$k'| |tptp.'app$'| A__questionmark_v0))) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v1) |tptp.'nat$'|) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| _let_1 (|tptp.'fun_app$'| |tptp.'sucNat$'| A__questionmark_v1))) (|tptp.'fun_app$'| _let_1 A__questionmark_v1)))))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'fun_app$'| |tptp.'snd$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$'| |tptp.'range$'| _let_1))) (let ((_let_3 (|tptp.'fun_app$'| |tptp.'domain$'| _let_1))) (= (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v0) (and (|tptp.'fun_app$b'| |tptp.'isOpair$'| A__questionmark_v0) (|tptp.'fun_app$b'| |tptp.'isOpair$'| (|tptp.'fun_app$'| |tptp.'fst$'| A__questionmark_v0)) (|tptp.'fun_app$b'| |tptp.'isFun$'| _let_1) (|tptp.'fun_app$b'| (|tptp.'subset$'| _let_1) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'cartProd$'| _let_3) _let_2)) (= _let_3 (|tptp.'fun_app$'| |tptp.'zFfunDom$'| A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'subset$'| _let_2) (|tptp.'fun_app$'| |tptp.'zFfunCod$'| A__questionmark_v0)))))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (let ((_let_1 (|tptp.'fun_app$'| |tptp.'snd$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$'| |tptp.'range$'| _let_1))) (let ((_let_3 (|tptp.'fun_app$'| |tptp.'domain$'| _let_1))) (=> (and (|tptp.'fun_app$b'| |tptp.'isZFfun$'| A__questionmark_v0) (=> (and (|tptp.'fun_app$b'| |tptp.'isOpair$'| A__questionmark_v0) (|tptp.'fun_app$b'| |tptp.'isOpair$'| (|tptp.'fun_app$'| |tptp.'fst$'| A__questionmark_v0)) (|tptp.'fun_app$b'| |tptp.'isFun$'| _let_1) (|tptp.'fun_app$b'| (|tptp.'subset$'| _let_1) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'cartProd$'| _let_3) _let_2)) (= _let_3 (|tptp.'fun_app$'| |tptp.'zFfunDom$'| A__questionmark_v0)) (|tptp.'fun_app$b'| (|tptp.'subset$'| _let_2) (|tptp.'fun_app$'| |tptp.'zFfunCod$'| A__questionmark_v0))) false)) false))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|) (A__questionmark_v4 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'pFun$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v4) A__questionmark_v0) (= (|tptp.'fun_app$'| |tptp.'fst$'| A__questionmark_v3) (|tptp.'fun_app$'| |tptp.'fst$'| A__questionmark_v4))) (= (|tptp.'fun_app$'| |tptp.'snd$'| A__questionmark_v3) (|tptp.'fun_app$'| |tptp.'snd$'| A__questionmark_v4)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'pFun$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v0)) (and (|tptp.'fun_app$b'| |tptp.'isOpair$'| A__questionmark_v3) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| |tptp.'fst$'| A__questionmark_v3)) A__questionmark_v1) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| |tptp.'snd$'| A__questionmark_v3)) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'fun_app$'| |tptp.'zFfunCod$'| A__questionmark_v0) (|tptp.'fun_app$'| |tptp.'snd$'| (|tptp.'fun_app$'| |tptp.'fst$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'cartProd$'| A__questionmark_v1) A__questionmark_v2)) (and (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| |tptp.'fst$'| A__questionmark_v0)) A__questionmark_v1) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| |tptp.'snd$'| A__questionmark_v0)) A__questionmark_v2) (|tptp.'fun_app$b'| |tptp.'isOpair$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|)) (= (|tptp.'fun_app$'| |tptp.'zFfunDom$'| A__questionmark_v0) (|tptp.'fun_app$'| |tptp.'fst$'| (|tptp.'fun_app$'| |tptp.'fst$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF$'|) (A__questionmark_v3 |tptp.'ZF$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'fun$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v0)) (and (|tptp.'fun_app$b'| |tptp.'isOpair$'| A__questionmark_v3) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| |tptp.'fst$'| A__questionmark_v3)) A__questionmark_v1) (|tptp.'fun_app$b'| (|tptp.'elem$'| (|tptp.'fun_app$'| |tptp.'snd$'| A__questionmark_v3)) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|)) (= (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'zFfunApp$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$'| (|tptp.'fun_app$k'| |tptp.'app$'| (|tptp.'fun_app$'| |tptp.'snd$'| A__questionmark_v0)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF_bool_fun$'|)) (let ((_let_1 (|tptp.'sep$'| A__questionmark_v0 A__questionmark_v1))) (and (=> (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) A__questionmark_v0) (not (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2)))) (= _let_1 |tptp.'empty$'|)) (=> (not (forall ((A__questionmark_v2 |tptp.'ZF$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v2) A__questionmark_v0) (not (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))))) (= _let_1 (|tptp.'repl$'| A__questionmark_v0 (|tptp.'uvc$'| A__questionmark_v0 A__questionmark_v1))))))) (forall ((A__questionmark_v0 |tptp.'ZF$'|) (A__questionmark_v1 |tptp.'ZF$'|) (A__questionmark_v2 |tptp.'ZF_ZF_fun$'|)) (= (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v0) (|tptp.'repl$'| A__questionmark_v1 A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'ZF$'|)) (and (|tptp.'fun_app$b'| (|tptp.'elem$'| A__questionmark_v3) A__questionmark_v1) (= A__questionmark_v0 (|tptp.'fun_app$'| A__questionmark_v2 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (<= 0 (|tptp.'of_nat$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (|tptp.'nat$a'| (|tptp.'of_nat$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 Int)) (let ((_let_1 (|tptp.'of_nat$'| (|tptp.'nat$a'| A__questionmark_v0)))) (let ((_let_2 (<= 0 A__questionmark_v0))) (and (=> _let_2 (= _let_1 A__questionmark_v0)) (=> (not _let_2) (= _let_1 0)))))) true))))))))))))))))))))))))))))))))))))))))))))))
% 0.69/1.11 )
% 0.69/1.11 % SZS output end Proof for ITP001_1
% 0.69/1.11 % cvc5---1.0.5 exiting
% 0.69/1.11 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------