TSTP Solution File: ITP305_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP305_1 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 : Mon May 20 23:09:14 EDT 2024
% Result : Theorem 35.80s 5.57s
% Output : Refutation 35.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 825
% Syntax : Number of formulae : 844 ( 19 unt; 817 typ; 0 def)
% Number of atoms : 64 ( 23 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 63 ( 26 ~; 21 |; 14 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 94 ( 93 usr)
% Number of type conns : 1074 ( 693 >; 381 *; 0 +; 0 <<)
% Number of predicates : 199 ( 197 usr; 1 prp; 0-4 aty)
% Number of functors : 527 ( 527 usr; 31 con; 0-7 aty)
% Number of variables : 28 ( 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'B_ZF_fun_set$': $tType ).
tff(type_def_6,type,
'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$': $tType ).
tff(type_def_7,type,
'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$': $tType ).
tff(type_def_8,type,
'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$': $tType ).
tff(type_def_9,type,
'ZF_set$': $tType ).
tff(type_def_10,type,
'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$': $tType ).
tff(type_def_11,type,
'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$': $tType ).
tff(type_def_12,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$': $tType ).
tff(type_def_13,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$': $tType ).
tff(type_def_14,type,
'Unit_unit_fun$': $tType ).
tff(type_def_15,type,
'A_b_b_c_LSCategory_ext_Category_ext$': $tType ).
tff(type_def_16,type,
'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$': $tType ).
tff(type_def_17,type,
'ZF_ZF_prod_set$': $tType ).
tff(type_def_18,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$': $tType ).
tff(type_def_19,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$': $tType ).
tff(type_def_20,type,
'ZF_set_ZF_set_fun$': $tType ).
tff(type_def_21,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$': $tType ).
tff(type_def_22,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$': $tType ).
tff(type_def_23,type,
'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$': $tType ).
tff(type_def_24,type,
'A_b_fun_set$': $tType ).
tff(type_def_25,type,
'ZF_ZF_prod_ZF_fun$': $tType ).
tff(type_def_26,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$': $tType ).
tff(type_def_27,type,
'B_c_LSCategory_ext$': $tType ).
tff(type_def_28,type,
'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_set$': $tType ).
tff(type_def_29,type,
'B_b_fun$': $tType ).
tff(type_def_30,type,
'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext_unit_Category_ext$': $tType ).
tff(type_def_31,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$': $tType ).
tff(type_def_32,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$': $tType ).
tff(type_def_33,type,
'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$': $tType ).
tff(type_def_34,type,
'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$': $tType ).
tff(type_def_35,type,
'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$': $tType ).
tff(type_def_36,type,
'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$': $tType ).
tff(type_def_37,type,
'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$': $tType ).
tff(type_def_38,type,
'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$': $tType ).
tff(type_def_39,type,
'ZF_ZF_prod$': $tType ).
tff(type_def_40,type,
'B_b_prod_set$': $tType ).
tff(type_def_41,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$': $tType ).
tff(type_def_42,type,
'B$': $tType ).
tff(type_def_43,type,
'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$': $tType ).
tff(type_def_44,type,
'ZF_ZF_ZF_fun_fun$': $tType ).
tff(type_def_45,type,
'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$': $tType ).
tff(type_def_46,type,
'C$': $tType ).
tff(type_def_47,type,
'B_ZF_fun_b_ZF_fun_fun$': $tType ).
tff(type_def_48,type,
'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$': $tType ).
tff(type_def_49,type,
'Nat$': $tType ).
tff(type_def_50,type,
'B_b_prod_bool_fun$': $tType ).
tff(type_def_51,type,
'ZF_ZF_prod_ZF_fun_set$': $tType ).
tff(type_def_52,type,
'ZF_ZF_fun$': $tType ).
tff(type_def_53,type,
'ZF_ZF_prod_bool_fun$': $tType ).
tff(type_def_54,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$': $tType ).
tff(type_def_55,type,
'ZF_ZF_fun_set$': $tType ).
tff(type_def_56,type,
'B_b_prod_b_fun_set$': $tType ).
tff(type_def_57,type,
'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$': $tType ).
tff(type_def_58,type,
'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$': $tType ).
tff(type_def_59,type,
'B_a_fun$': $tType ).
tff(type_def_60,type,
'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$': $tType ).
tff(type_def_61,type,
'B_b_prod$': $tType ).
tff(type_def_62,type,
'ZF_ZF_fun_ZF_ZF_fun_fun$': $tType ).
tff(type_def_63,type,
'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$': $tType ).
tff(type_def_64,type,
'A_bool_fun$': $tType ).
tff(type_def_65,type,
'A_set$': $tType ).
tff(type_def_66,type,
'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$': $tType ).
tff(type_def_67,type,
'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext_unit_Category_ext$': $tType ).
tff(type_def_68,type,
'A_b_fun$': $tType ).
tff(type_def_69,type,
'B_set$': $tType ).
tff(type_def_70,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$': $tType ).
tff(type_def_71,type,
'A_b_fun_bool_fun$': $tType ).
tff(type_def_72,type,
'A$': $tType ).
tff(type_def_73,type,
'ZF_ZF_unit_Category_ext$': $tType ).
tff(type_def_74,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$': $tType ).
tff(type_def_75,type,
'B_b_prod_b_fun$': $tType ).
tff(type_def_76,type,
'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$': $tType ).
tff(type_def_77,type,
'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_set$': $tType ).
tff(type_def_78,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$': $tType ).
tff(type_def_79,type,
'ZF_bool_fun$': $tType ).
tff(type_def_80,type,
'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$': $tType ).
tff(type_def_81,type,
'B_b_b_fun_fun$': $tType ).
tff(type_def_82,type,
'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$': $tType ).
tff(type_def_83,type,
'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$': $tType ).
tff(type_def_84,type,
'A_ZF_fun$': $tType ).
tff(type_def_85,type,
'A_set_a_set_fun$': $tType ).
tff(type_def_86,type,
'Unit$': $tType ).
tff(type_def_87,type,
'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext_a_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$': $tType ).
tff(type_def_88,type,
'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$': $tType ).
tff(type_def_89,type,
'ZF$': $tType ).
tff(type_def_90,type,
'B_ZF_fun$': $tType ).
tff(type_def_91,type,
'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_set$': $tType ).
tff(type_def_92,type,
'B_a_fun_set$': $tType ).
tff(type_def_93,type,
'Nat_ZF_fun$': $tType ).
tff(type_def_94,type,
'B_a_fun_bool_fun$': $tType ).
tff(type_def_95,type,
'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$': $tType ).
tff(type_def_96,type,
'B_bool_fun$': $tType ).
tff(type_def_97,type,
'B_ZF_fun_bool_fun$': $tType ).
tff(func_def_0,type,
'uu$': 'A_set$' > 'A_bool_fun$' ).
tff(func_def_1,type,
'catDom$': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_2,type,
'more$b': 'ZF_ZF_unit_Category_ext$' > 'Unit$' ).
tff(func_def_3,type,
'functorComp$a': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_4,type,
'collect$e': 'B_ZF_fun_bool_fun$' > 'B_ZF_fun_set$' ).
tff(func_def_5,type,
'collect$i': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$' ).
tff(func_def_6,type,
'oppositeCategory$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_7,type,
'constFunctor$j': ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).
tff(func_def_8,type,
'extensional$e': 'B_set$' > 'B_a_fun_set$' ).
tff(func_def_9,type,
'fun_app$y': ( 'Unit_unit_fun$' * 'Unit$' ) > 'Unit$' ).
tff(func_def_10,type,
'comp$b': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(func_def_11,type,
'c$': 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_12,type,
'collect$': 'ZF_ZF_prod_bool_fun$' > 'ZF_ZF_prod_set$' ).
tff(func_def_13,type,
'fun_app$u': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(func_def_14,type,
'fun_app$s': ( 'B_ZF_fun_b_ZF_fun_fun$' * 'B_ZF_fun$' ) > 'B_ZF_fun$' ).
tff(func_def_15,type,
'nTCatCod$a': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_16,type,
'unitFunctor$': 'ZF_ZF_unit_Category_ext$' > 'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$' ).
tff(func_def_17,type,
'x$': 'A$' ).
tff(func_def_18,type,
'mapsTo$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' * 'A$' ) > 'A_bool_fun$' ).
tff(func_def_19,type,
'uvb$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_b_prod_bool_fun$' ).
tff(func_def_20,type,
'the$b': 'B_bool_fun$' > 'B$' ).
tff(func_def_21,type,
'case_prod$': 'ZF_ZF_ZF_fun_fun$' > 'ZF_ZF_prod_ZF_fun$' ).
tff(func_def_22,type,
'makeFtor$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_23,type,
'nTDom$b': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_24,type,
'catExp$k': ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' ).
tff(func_def_25,type,
'natTrans$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' ).
tff(func_def_26,type,
'uua$': 'ZF_set$' > 'ZF_bool_fun$' ).
tff(func_def_27,type,
'cod_update$': ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_28,type,
'idNatTrans$': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' ).
tff(func_def_29,type,
'extensional$d': 'ZF_ZF_prod_set$' > 'ZF_ZF_prod_ZF_fun_set$' ).
tff(func_def_30,type,
'fun_app$ad': ( 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$' * 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ) > 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).
tff(func_def_31,type,
'restrict$a': ( 'B_b_prod_b_fun$' * 'B_b_prod_set$' * 'B_b_prod$' ) > 'B$' ).
tff(func_def_32,type,
'constFunctor$i': ( 'ZF_ZF_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ).
tff(func_def_33,type,
'identityFunctor$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ).
tff(func_def_34,type,
'yMapInv$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(func_def_35,type,
'constFunctor$a': ( 'ZF_ZF_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_36,type,
'id_update$': ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_37,type,
'restrict$b': ( 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'B_set$' ) > 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).
tff(func_def_38,type,
'uud$': 'B_ZF_fun_set$' > 'B_ZF_fun_bool_fun$' ).
tff(func_def_39,type,
'isomorphism$b': 'ZF_ZF_unit_Category_ext$' > 'ZF_bool_fun$' ).
tff(func_def_40,type,
'uug$': 'B_b_prod_set$' > 'B_b_prod_bool_fun$' ).
tff(func_def_41,type,
'isomorphism$a': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' ).
tff(func_def_42,type,
'natTransP$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' ).
tff(func_def_43,type,
'constFunctor$o': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' ).
tff(func_def_44,type,
'fun_app$x': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).
tff(func_def_45,type,
'nTCod$b': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_46,type,
'uue$': 'B_a_fun_set$' > 'B_a_fun_bool_fun$' ).
tff(func_def_47,type,
'obj_update$': ( 'ZF_set_ZF_set_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_48,type,
'extensional$': 'B_set$' > 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_set$' ).
tff(func_def_49,type,
'fun_app$r': ( 'A_b_fun$' * 'A$' ) > 'B$' ).
tff(func_def_50,type,
'functor_comp_def$b': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).
tff(func_def_51,type,
'uus$': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).
tff(func_def_52,type,
'makeCat$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_53,type,
'collect$a': 'B_b_prod_bool_fun$' > 'B_b_prod_set$' ).
tff(func_def_54,type,
'constFunctor$k': ( 'ZF_ZF_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_55,type,
'collect$d': 'B_bool_fun$' > 'B_set$' ).
tff(func_def_56,type,
'pair$a': ( 'B$' * 'B$' ) > 'B_b_prod$' ).
tff(func_def_57,type,
'functorComp$d': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_58,type,
'objIso$b': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'A_bool_fun$' ).
tff(func_def_59,type,
'equivalence_axioms$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).
tff(func_def_60,type,
'mapM$f': ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'B$' ) > 'B$' ).
tff(func_def_61,type,
'constFunctor$': ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).
tff(func_def_62,type,
'idNatTrans$d': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(func_def_63,type,
'nTCatDom$d': 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_64,type,
'uur$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF$' ) > 'A_ZF_fun$' ).
tff(func_def_65,type,
'uuk$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_66,type,
'seqSum$': 'Nat_ZF_fun$' > 'ZF$' ).
tff(func_def_67,type,
'case_prod$a': 'B_b_b_fun_fun$' > 'B_b_prod_b_fun$' ).
tff(func_def_68,type,
'idNatTrans$g': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' ).
tff(func_def_69,type,
'constFunctor$n': ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) > 'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ).
tff(func_def_70,type,
'collect$h': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$' ).
tff(func_def_71,type,
'uun$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' ).
tff(func_def_72,type,
'nTCatDom$b': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_73,type,
'fun_app$d': ( 'A_ZF_fun$' * 'A$' ) > 'ZF$' ).
tff(func_def_74,type,
'catExp$h': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' ) > 'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ).
tff(func_def_75,type,
'the$a': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_76,type,
'set$': 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_77,type,
'identityFunctor$c': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).
tff(func_def_78,type,
'natTransMap$d': 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_79,type,
'uul$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_80,type,
'mapO$f': ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A$' ) > 'A$' ).
tff(func_def_81,type,
'catDom$b': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_82,type,
'mapsTo$b': ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' * 'ZF$' ) > 'ZF_bool_fun$' ).
tff(func_def_83,type,
'natTransComp$a': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' ).
tff(func_def_84,type,
'unity$': 'Unit$' ).
tff(func_def_85,type,
'identityFunctor$f': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_86,type,
'catCod$d': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_87,type,
'functorComp$c': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ) > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_88,type,
'constFunctor$h': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' ).
tff(func_def_89,type,
'idNatTrans$b': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' ).
tff(func_def_90,type,
'nTCod$c': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' ).
tff(func_def_91,type,
'functorComp$h': ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_92,type,
'nTCod$d': 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).
tff(func_def_93,type,
'constFunctor$d': ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) > 'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ).
tff(func_def_94,type,
'mor2ZF$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_ZF_fun$' ).
tff(func_def_95,type,
'catCod$c': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_96,type,
'nTCod$a': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_97,type,
'obj$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$' ).
tff(func_def_98,type,
'constFunctor$r': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' ).
tff(func_def_99,type,
'nTDom$a': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_100,type,
'comp_update$': ( 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_101,type,
'constFunctor$m': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_102,type,
'natTrans_ext$a': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'Unit$' ) > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(func_def_103,type,
'constFunctor$s': ( 'ZF_ZF_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ).
tff(func_def_104,type,
'catDom$e': 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_105,type,
'zFfun$': ( 'ZF$' * 'ZF$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_106,type,
'makeFtor$a': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_107,type,
'makeFtor$e': 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ).
tff(func_def_108,type,
'nTCompDefined$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' ).
tff(func_def_109,type,
'inverse_rel$': ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_bool_fun$' ).
tff(func_def_110,type,
'idNatTrans$a': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' ).
tff(func_def_111,type,
'objIso$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).
tff(func_def_112,type,
'fun_app$ab': ( 'ZF_set_ZF_set_fun$' * 'ZF_set$' ) > 'ZF_set$' ).
tff(func_def_113,type,
'obj$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).
tff(func_def_114,type,
'uvd$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_115,type,
'constFunctor$c': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_116,type,
'nTCatCod$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_117,type,
'catExp$f': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' ).
tff(func_def_118,type,
'constFunctor$p': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) > 'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_119,type,
'yMapInv$a': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(func_def_120,type,
'zFfunCod$': 'ZF_ZF_fun$' ).
tff(func_def_121,type,
'oppositeCategory$b': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_122,type,
'more$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_c_LSCategory_ext$' ).
tff(func_def_123,type,
'mor$d': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_set$' ).
tff(func_def_124,type,
'catDom$a': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_125,type,
'homFtor$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_126,type,
'category_ext$': ( 'A_set$' * 'B_set$' * 'B_a_fun$' * 'B_a_fun$' * 'A_b_fun$' * 'B_b_b_fun_fun$' * 'B_c_LSCategory_ext$' ) > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_127,type,
'functorComp$g': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ) > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_128,type,
'comp$c': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' ).
tff(func_def_129,type,
'mor2ZF_update$': ( 'B_ZF_fun_b_ZF_fun_fun$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_130,type,
'cod$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_a_fun$' ).
tff(func_def_131,type,
'restrict$c': ( 'B_a_fun$' * 'B_set$' ) > 'B_a_fun$' ).
tff(func_def_132,type,
'set$a': 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_133,type,
'nTDom$d': 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).
tff(func_def_134,type,
'compDefined$': ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_bool_fun$' ).
tff(func_def_135,type,
'uut$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_ZF_fun$' ).
tff(func_def_136,type,
'extensional$b': 'ZF_set$' > 'ZF_ZF_fun_set$' ).
tff(func_def_137,type,
'functorComp$b': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).
tff(func_def_138,type,
'extensional$f': 'B_b_prod_set$' > 'B_b_prod_b_fun_set$' ).
tff(func_def_139,type,
'nTDom$c': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' ).
tff(func_def_140,type,
'uui$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' ).
tff(func_def_141,type,
'more$c': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'Unit$' ).
tff(func_def_142,type,
'compDefined$b': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' ).
tff(func_def_143,type,
'is_Elem_of$': 'ZF_ZF_prod_set$' ).
tff(func_def_144,type,
'identityFunctor$b': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_145,type,
'natTransMap$c': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' * 'ZF$' ) > 'B$' ).
tff(func_def_146,type,
'nTCatDom$a': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_147,type,
'fun_app$o': ( 'B_b_b_fun_fun$' * 'B$' ) > 'B_b_fun$' ).
tff(func_def_148,type,
'restrict$e': ( 'ZF_ZF_fun$' * 'ZF_set$' ) > 'ZF_ZF_fun$' ).
tff(func_def_149,type,
'uub$': 'ZF_ZF_prod_set$' > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_150,type,
'functor_ext$a': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'B_ZF_fun$' * 'Unit$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_151,type,
'dom$b': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_152,type,
'mapO$g': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'ZF$' ).
tff(func_def_153,type,
'nTCatCod$c': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ).
tff(func_def_154,type,
'uuy$': 'ZF_bool_fun$' ).
tff(func_def_155,type,
'oppositeCategory$a': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ).
tff(func_def_156,type,
'yMap$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'ZF$' ).
tff(func_def_157,type,
'homFtorContra$a': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_158,type,
'homFtorContra$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_159,type,
'uuu$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' ) > 'ZF_bool_fun$' ).
tff(func_def_160,type,
'catExp$i': ( 'ZF_ZF_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ) > 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext_unit_Category_ext$' ).
tff(func_def_161,type,
'mapM$d': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_162,type,
'mapM$e': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'ZF$' ) > 'B$' ).
tff(func_def_163,type,
'uve$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_164,type,
'cod$b': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_165,type,
'natTransComp$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$' ).
tff(func_def_166,type,
'obj$b': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_set$' ).
tff(func_def_167,type,
'zFfunComp$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_168,type,
'compDefined$a': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' ) > 'B_bool_fun$' ).
tff(func_def_169,type,
'inverse_rel$a': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' ) > 'B_bool_fun$' ).
tff(func_def_170,type,
'the$': 'ZF_bool_fun$' > 'ZF$' ).
tff(func_def_171,type,
'functorM_axioms$d': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).
tff(func_def_172,type,
'natTransMap$': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(func_def_173,type,
'constFunctor$b': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_174,type,
'functorComp$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ) > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_175,type,
'mapM$': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).
tff(func_def_176,type,
'uuf$': 'A_b_fun_set$' > 'A_b_fun_bool_fun$' ).
tff(func_def_177,type,
'fun_app$v': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_178,type,
'restrict$d': ( 'A_b_fun$' * 'A_set$' ) > 'A_b_fun$' ).
tff(func_def_179,type,
'implode$': 'ZF_set$' > 'ZF$' ).
tff(func_def_180,type,
'uuz$': 'ZF_ZF_fun$' ).
tff(func_def_181,type,
'mapO$c': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A$' ).
tff(func_def_182,type,
'identityFunctor$g': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).
tff(func_def_183,type,
'mapO$a': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' ) > 'ZF$' ).
tff(func_def_184,type,
'nTCod$': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_185,type,
'oppositeCategory$c': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' ).
tff(func_def_186,type,
'constFunctor$l': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_187,type,
'obj$c': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_set$' ).
tff(func_def_188,type,
'uuc$': 'B_set$' > 'B_bool_fun$' ).
tff(func_def_189,type,
'catCod$e': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_190,type,
'lSCategory_ext$': ( 'B_ZF_fun$' * 'C$' ) > 'B_c_LSCategory_ext$' ).
tff(func_def_191,type,
'catCod$b': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_192,type,
'collect$b': 'A_bool_fun$' > 'A_set$' ).
tff(func_def_193,type,
'natTransMap$a': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A_b_fun$' ).
tff(func_def_194,type,
'equivalence$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).
tff(func_def_195,type,
'homSet$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A$' ) > 'ZF$' ).
tff(func_def_196,type,
'mapM$a': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B_ZF_fun$' ).
tff(func_def_197,type,
'y$': 'A$' ).
tff(func_def_198,type,
'uux$': 'ZF_ZF_fun$' ).
tff(func_def_199,type,
'catDom$c': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_200,type,
'catExp$j': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' ).
tff(func_def_201,type,
'fun_app$ae': ( 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' * 'ZF_ZF_ZF_fun_fun$' ) > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_202,type,
'catExp$g': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$' ).
tff(func_def_203,type,
'functor$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).
tff(func_def_204,type,
'extensional$a': 'B_set$' > 'B_ZF_fun_set$' ).
tff(func_def_205,type,
'eta$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(func_def_206,type,
'homFtorMapContra$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' * 'A$' ) > 'ZF$' ).
tff(func_def_207,type,
'fun_app$n': ( 'B_b_fun$' * 'B$' ) > 'B$' ).
tff(func_def_208,type,
'extensional$c': 'A_set$' > 'A_b_fun_set$' ).
tff(func_def_209,type,
'uuw$': 'ZF$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_210,type,
'dom_update$': ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_211,type,
'functorComp$f': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ) > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_212,type,
'functorComp$e': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ).
tff(func_def_213,type,
'category_ext$a': ( 'ZF_set$' * 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'ZF_ZF_ZF_fun_fun$' * 'Unit$' ) > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_214,type,
'id$b': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_b_fun$' ).
tff(func_def_215,type,
'homFtorMap$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'B_ZF_fun$' ).
tff(func_def_216,type,
'collect$f': 'B_a_fun_bool_fun$' > 'B_a_fun_set$' ).
tff(func_def_217,type,
'uuq$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' ) > 'ZF_ZF_fun$' ).
tff(func_def_218,type,
'makeNT$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' ).
tff(func_def_219,type,
'inverse$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_220,type,
'mapM$g': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'ZF$' ).
tff(func_def_221,type,
'restrict$': ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod$' ) > 'ZF$' ).
tff(func_def_222,type,
'identityFunctor$e': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ).
tff(func_def_223,type,
'functorExt$a': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).
tff(func_def_224,type,
'identityFunctor$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ).
tff(func_def_225,type,
'more_update$': ( 'Unit_unit_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_226,type,
'zF2mor$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF$' ) > 'B$' ).
tff(func_def_227,type,
'uuo$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' ) > 'ZF_ZF_fun$' ).
tff(func_def_228,type,
'uvc$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_b_b_fun_fun$' ).
tff(func_def_229,type,
'fun_app$ac': ( 'A_set_a_set_fun$' * 'A_set$' ) > 'A_set$' ).
tff(func_def_230,type,
'category_ext$b': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$' * 'Unit$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ).
tff(func_def_231,type,
'mapM$b': ( 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' * 'ZF$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(func_def_232,type,
'catExp$c': ( 'ZF_ZF_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$' ).
tff(func_def_233,type,
'mapO$': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_234,type,
'dom$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_a_fun$' ).
tff(func_def_235,type,
'zFfunDom$': 'ZF_ZF_fun$' ).
tff(func_def_236,type,
'fun_app$w': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(func_def_237,type,
'mapO$d': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_238,type,
'mor$c': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$' ).
tff(func_def_239,type,
'zFfunApp$': 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_240,type,
'collect$c': 'ZF_bool_fun$' > 'ZF_set$' ).
tff(func_def_241,type,
'constFunctor$g': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_242,type,
'fun_app$q': ( 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'B$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(func_def_243,type,
'constFunctor$f': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) > 'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_244,type,
'cod$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_245,type,
'functorComp$i': ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_246,type,
'functor_comp_def$i': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).
tff(func_def_247,type,
'catCod$a': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_248,type,
'hOMCollection$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A$' ) > 'ZF_set$' ).
tff(func_def_249,type,
'uup$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'B_ZF_fun$' ).
tff(func_def_250,type,
'mapO$h': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_251,type,
'objIso$a': ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_bool_fun$' ).
tff(func_def_252,type,
'comp$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_253,type,
'nTDom$': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_254,type,
'isomorphism$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_bool_fun$' ).
tff(func_def_255,type,
'makeNT$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(func_def_256,type,
'idNatTrans$c': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(func_def_257,type,
'makeFtor$b': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ).
tff(func_def_258,type,
'mapM$c': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'B$' ).
tff(func_def_259,type,
'fun_app$z': ( 'Nat_ZF_fun$' * 'Nat$' ) > 'ZF$' ).
tff(func_def_260,type,
'catExp$l': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ).
tff(func_def_261,type,
'makeFtor$d': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_262,type,
'idNatTrans$f': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).
tff(func_def_263,type,
'obj_update$a': ( 'A_set_a_set_fun$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_264,type,
'natTrans_ext$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_fun$' * 'Unit$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(func_def_265,type,
'functor_ext$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'Unit$' ) > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_266,type,
'constFunctor$q': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_267,type,
'elem$': 'ZF$' > 'ZF_bool_fun$' ).
tff(func_def_268,type,
'mapsTo$a': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).
tff(func_def_269,type,
'functorM$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).
tff(func_def_270,type,
'comp$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_b_b_fun_fun$' ).
tff(func_def_271,type,
'fun_app$m': ( 'ZF_ZF_ZF_fun_fun$' * 'ZF$' ) > 'ZF_ZF_fun$' ).
tff(func_def_272,type,
'nTCatCod$d': 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_273,type,
'makeNT$d': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' ).
tff(func_def_274,type,
'idNatTrans$e': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(func_def_275,type,
'catExp$b': ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' ).
tff(func_def_276,type,
'fun_app$': ( 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_277,type,
'makeNT$b': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(func_def_278,type,
'uuv$': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).
tff(func_def_279,type,
'comp$d': 'ZF_ZF_fun$' > 'ZF_ZF_fun_ZF_ZF_fun_fun$' ).
tff(func_def_280,type,
'makeCat$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_281,type,
'catExp$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ).
tff(func_def_282,type,
'constFunctor$e': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' ).
tff(func_def_283,type,
'yFtorNT$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).
tff(func_def_284,type,
'makeFtor$c': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ).
tff(func_def_285,type,
'fun_app$p': ( 'B_ZF_fun$' * 'B$' ) > 'ZF$' ).
tff(func_def_286,type,
'fun_app$aa': ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_287,type,
'catDom$d': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_288,type,
'mor$a': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$' ).
tff(func_def_289,type,
'catCod$f': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_290,type,
'catExp$a': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ) > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ).
tff(func_def_291,type,
'uvf$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A$' ) > 'ZF_bool_fun$' ).
tff(func_def_292,type,
'mapO$e': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'ZF$' ) > 'A$' ).
tff(func_def_293,type,
'mapM_update$': ( 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_294,type,
'id$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_295,type,
'makeNT$c': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' ).
tff(func_def_296,type,
'catExp$d': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext_a_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$' ).
tff(func_def_297,type,
'uuj$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_b_b_fun_fun$' ).
tff(func_def_298,type,
'yFtor$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_299,type,
'homFtor$a': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_300,type,
'preFunctor$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).
tff(func_def_301,type,
'uva$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF$' ) > 'B_bool_fun$' ).
tff(func_def_302,type,
'pair$': ( 'ZF$' * 'ZF$' ) > 'ZF_ZF_prod$' ).
tff(func_def_303,type,
'natTransExt$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' ).
tff(func_def_304,type,
'uuh$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).
tff(func_def_305,type,
'more$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'C$' ).
tff(func_def_306,type,
'fun_app$t': ( 'B_a_fun$' * 'B$' ) > 'A$' ).
tff(func_def_307,type,
'collect$g': 'A_b_fun_bool_fun$' > 'A_b_fun_set$' ).
tff(func_def_308,type,
'yFtorNT$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).
tff(func_def_309,type,
'fun_app$c': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(func_def_310,type,
'mor_update$': ( 'ZF_set_ZF_set_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).
tff(func_def_311,type,
'catExp$e': ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' ) > 'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext_unit_Category_ext$' ).
tff(func_def_312,type,
'natTransMap$b': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A$' ) > 'ZF$' ).
tff(func_def_313,type,
'mapO$b': ( 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' * 'ZF$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_314,type,
'nTCatDom$c': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_315,type,
'nTCatDom$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_316,type,
'isZFfun$': 'ZF_bool_fun$' ).
tff(func_def_317,type,
'uvg$': 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_318,type,
'catCod$': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ).
tff(func_def_319,type,
'mor$b': 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).
tff(func_def_320,type,
'uum$': ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).
tff(func_def_321,type,
'nTCatCod$b': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A_b_b_c_LSCategory_ext_Category_ext$' ).
tff(func_def_322,type,
'dom$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_323,type,
'yFtor$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_324,type,
'nt_abbrev$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ).
tff(func_def_325,type,
'id$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(func_def_326,type,
'identityFunctor$d': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ).
tff(func_def_327,type,
'mor$': 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B_set$' ).
tff(func_def_328,type,
sK65: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).
tff(func_def_329,type,
sK66: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'B$' ).
tff(func_def_330,type,
sK67: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).
tff(func_def_331,type,
sK68: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).
tff(func_def_332,type,
sK69: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF$' ).
tff(func_def_333,type,
sK70: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF$' ).
tff(func_def_334,type,
sK71: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF$' ).
tff(func_def_335,type,
sK72: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF$' ).
tff(func_def_336,type,
sK73: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A$' ).
tff(func_def_337,type,
sK74: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'B$' ).
tff(func_def_338,type,
sK75: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A$' ).
tff(func_def_339,type,
sK76: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A$' ).
tff(func_def_340,type,
sK77: 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF$' ).
tff(func_def_341,type,
sK78: 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF$' ).
tff(func_def_342,type,
sK79: 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF$' ).
tff(func_def_343,type,
sK80: 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF$' ).
tff(func_def_344,type,
sK81: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).
tff(func_def_345,type,
sK82: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'B$' ).
tff(func_def_346,type,
sK83: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).
tff(func_def_347,type,
sK84: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).
tff(func_def_348,type,
sK85: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_349,type,
sK86: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).
tff(func_def_350,type,
sK87: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_351,type,
sK88: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_352,type,
sK89: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_353,type,
sK90: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).
tff(func_def_354,type,
sK91: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).
tff(func_def_355,type,
sK92: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_356,type,
sK93: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).
tff(func_def_357,type,
sK94: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_358,type,
sK95: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_359,type,
sK96: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_360,type,
sK97: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_361,type,
sK98: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_362,type,
sK99: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_363,type,
sK100: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_364,type,
sK101: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_365,type,
sK102: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_366,type,
sK103: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_367,type,
sK104: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_368,type,
sK105: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_369,type,
sK106: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_370,type,
sK107: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_371,type,
sK108: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_372,type,
sK109: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_373,type,
sK110: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_374,type,
sK111: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_375,type,
sK112: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_376,type,
sK113: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_377,type,
sK114: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_378,type,
sK115: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_379,type,
sK116: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_380,type,
sK117: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_381,type,
sK118: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_382,type,
sK119: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_383,type,
sK120: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'ZF$' ).
tff(func_def_384,type,
sK121: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'ZF$' ).
tff(func_def_385,type,
sK122: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_386,type,
sK123: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_387,type,
sK124: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_388,type,
sK125: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_389,type,
sK126: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_390,type,
sK127: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_391,type,
sK128: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(func_def_392,type,
sK129: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_393,type,
sK130: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_394,type,
sK131: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_395,type,
sK132: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_396,type,
sK133: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_397,type,
sK134: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_398,type,
sK135: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_399,type,
sK136: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).
tff(func_def_400,type,
sK137: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).
tff(func_def_401,type,
sK138: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_402,type,
sK139: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_403,type,
sK140: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_404,type,
sK141: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_405,type,
sK142: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).
tff(func_def_406,type,
sK143: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).
tff(func_def_407,type,
sK144: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_408,type,
sK145: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_409,type,
sK146: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).
tff(func_def_410,type,
sK147: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_411,type,
sK148: 'ZF_ZF_unit_Category_ext$' > 'Unit$' ).
tff(func_def_412,type,
sK149: ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > 'A$' ).
tff(func_def_413,type,
sK150: ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' * 'A$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > 'B$' ).
tff(func_def_414,type,
sK151: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_415,type,
sK152: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_416,type,
sK153: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).
tff(func_def_417,type,
sK154: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_418,type,
sK155: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_419,type,
sK156: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_420,type,
sK157: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).
tff(func_def_421,type,
sK158: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).
tff(func_def_422,type,
sK159: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_423,type,
sK160: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'A$' ).
tff(func_def_424,type,
sK161: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_425,type,
sK162: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_426,type,
sK163: 'A_b_b_c_LSCategory_ext_Category_ext$' > 'B$' ).
tff(func_def_427,type,
sK164: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_428,type,
sK165: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_429,type,
sK166: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_430,type,
sK167: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_431,type,
sK168: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_432,type,
sK169: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_433,type,
sK170: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_434,type,
sK171: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_435,type,
sK172: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_436,type,
sK173: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_437,type,
sK174: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_438,type,
sK175: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_439,type,
sK176: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_440,type,
sK177: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_441,type,
sK178: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_442,type,
sK179: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).
tff(func_def_443,type,
sK180: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF$' ).
tff(func_def_444,type,
sK181: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF$' ).
tff(func_def_445,type,
sK182: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF$' ).
tff(func_def_446,type,
sK183: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'ZF$' ).
tff(func_def_447,type,
sK184: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'B$' ).
tff(func_def_448,type,
sK185: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A$' ).
tff(func_def_449,type,
sK186: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A$' ).
tff(func_def_450,type,
sK187: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > 'A$' ).
tff(func_def_451,type,
sK188: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'B$' ).
tff(func_def_452,type,
sK189: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).
tff(func_def_453,type,
sK190: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).
tff(func_def_454,type,
sK191: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).
tff(func_def_455,type,
sK192: 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF$' ).
tff(func_def_456,type,
sK193: 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF$' ).
tff(func_def_457,type,
sK194: 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF$' ).
tff(func_def_458,type,
sK195: 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > 'ZF$' ).
tff(func_def_459,type,
sK196: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_460,type,
sK197: ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_461,type,
sK198: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_462,type,
sK199: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_463,type,
sK200: 'ZF_ZF_prod$' > 'ZF$' ).
tff(func_def_464,type,
sK201: 'ZF_ZF_prod$' > 'ZF$' ).
tff(func_def_465,type,
sK202: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'B$' ).
tff(func_def_466,type,
sK203: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).
tff(func_def_467,type,
sK204: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).
tff(func_def_468,type,
sK205: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > 'A$' ).
tff(func_def_469,type,
sK206: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'ZF$' ).
tff(func_def_470,type,
sK207: ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF$' ) > 'A$' ).
tff(func_def_471,type,
sK208: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_472,type,
sK209: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_473,type,
sK210: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_474,type,
sK211: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_475,type,
sK212: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_476,type,
sK213: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_477,type,
sK214: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'ZF$' ).
tff(func_def_478,type,
sK215: ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' * 'A$' * 'ZF$' ) > 'B$' ).
tff(func_def_479,type,
sK216: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'B$' ).
tff(func_def_480,type,
sK217: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_481,type,
sK218: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > 'A$' ).
tff(func_def_482,type,
sK219: ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_483,type,
sK220: ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF$' ) > 'A$' ).
tff(func_def_484,type,
sK221: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_485,type,
sK222: ( 'ZF_bool_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_486,type,
sK223: 'ZF_bool_fun$' > 'ZF$' ).
tff(func_def_487,type,
sK224: ( 'B_b_prod_bool_fun$' * 'B_b_prod_bool_fun$' ) > 'B_b_prod$' ).
tff(func_def_488,type,
sK225: ( 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod$' ).
tff(func_def_489,type,
sK226: ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ).
tff(func_def_490,type,
sK227: ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' ) > 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ).
tff(func_def_491,type,
sK228: ( 'A_bool_fun$' * 'A_bool_fun$' ) > 'A$' ).
tff(func_def_492,type,
sK229: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_493,type,
sK230: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_494,type,
sK231: ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B_b_prod$' ) > 'B$' ).
tff(func_def_495,type,
sK232: ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B_b_prod$' ) > 'B$' ).
tff(func_def_496,type,
sK233: ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_prod$' ) > 'ZF$' ).
tff(func_def_497,type,
sK234: ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_prod$' ) > 'ZF$' ).
tff(func_def_498,type,
sK235: ( 'ZF$' * 'Nat_ZF_fun$' ) > 'Nat$' ).
tff(func_def_499,type,
sK236: ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'B$' ) > 'B$' ).
tff(func_def_500,type,
sK237: ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_501,type,
sK238: ( 'ZF_bool_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_502,type,
sK239: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_503,type,
sK240: ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A$' ) > 'B$' ).
tff(func_def_504,type,
sK241: ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_505,type,
sK242: ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A$' * 'A$' * 'ZF$' ) > 'B$' ).
tff(func_def_506,type,
sK243: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_507,type,
sK244: ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'A$' * 'ZF$' ) > 'B$' ).
tff(func_def_508,type,
sK245: ( 'B_ZF_fun$' * 'B_ZF_fun_b_ZF_fun_fun$' * 'B_ZF_fun_b_ZF_fun_fun$' ) > 'B_ZF_fun$' ).
tff(func_def_509,type,
sK246: ( 'B_ZF_fun$' * 'B_ZF_fun_b_ZF_fun_fun$' * 'B_ZF_fun_b_ZF_fun_fun$' ) > 'B_ZF_fun$' ).
tff(func_def_510,type,
sK247: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_511,type,
sK248: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_512,type,
sK249: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_513,type,
sK250: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_514,type,
sK251: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).
tff(func_def_515,type,
sK252: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).
tff(func_def_516,type,
sK253: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_517,type,
sK254: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_518,type,
sK255: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).
tff(func_def_519,type,
sK256: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).
tff(func_def_520,type,
sK257: ( 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$' * 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$' ) > 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).
tff(func_def_521,type,
sK258: ( 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$' * 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_fun$' ) > 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' ).
tff(func_def_522,type,
sK259: ( 'ZF_ZF_ZF_fun_fun$' * 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' * 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' ) > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_523,type,
sK260: ( 'ZF_ZF_ZF_fun_fun$' * 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' * 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' ) > 'ZF_ZF_ZF_fun_fun$' ).
tff(func_def_524,type,
sK261: ( 'A_set$' * 'A_set_a_set_fun$' * 'A_set_a_set_fun$' ) > 'A_set$' ).
tff(func_def_525,type,
sK262: ( 'A_set$' * 'A_set_a_set_fun$' * 'A_set_a_set_fun$' ) > 'A_set$' ).
tff(func_def_526,type,
sK263: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF$' ).
tff(pred_def_1,type,
'functor$e': 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_2,type,
'functor_comp_def$h': ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > $o ).
tff(pred_def_3,type,
'functor$m': 'ZF_unit_ZF_unit_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_4,type,
'functorM$e': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).
tff(pred_def_5,type,
'functorM$d': 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_6,type,
'fun_app$b': ( 'ZF_bool_fun$' * 'ZF$' ) > $o ).
tff(pred_def_7,type,
'natTransP$b': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > $o ).
tff(pred_def_8,type,
'functor$g': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_9,type,
'preFunctor$e': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).
tff(pred_def_10,type,
'member$f': ( 'B_a_fun$' * 'B_a_fun_set$' ) > $o ).
tff(pred_def_11,type,
'fun_app$f': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_bool_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > $o ).
tff(pred_def_12,type,
'preFunctor$c': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_13,type,
'preFunctor$h': 'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_14,type,
'lSCategory$': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_15,type,
'member$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$' ) > $o ).
tff(pred_def_16,type,
'category$d': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext_ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$' > $o ).
tff(pred_def_17,type,
'member$j': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_set$' ) > $o ).
tff(pred_def_18,type,
'natTransExt$c': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > $o ).
tff(pred_def_19,type,
'functor$a': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).
tff(pred_def_20,type,
'functor_abbrev$f': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ) > $o ).
tff(pred_def_21,type,
'functor_comp_def$e': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > $o ).
tff(pred_def_22,type,
'category$a': 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_23,type,
'member$k': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_set$' ) > $o ).
tff(pred_def_24,type,
'functor_comp_def$c': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ) > $o ).
tff(pred_def_25,type,
'category$b': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > $o ).
tff(pred_def_26,type,
'functor_abbrev$c': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).
tff(pred_def_27,type,
'nt_abbrev$d': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) > $o ).
tff(pred_def_28,type,
'functorM_axioms$': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_29,type,
'preFunctor$d': 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_30,type,
'functorM$b': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).
tff(pred_def_31,type,
'functorExt$b': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_32,type,
'functorM$f': 'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_33,type,
'fun_app$h': ( 'B_ZF_fun_bool_fun$' * 'B_ZF_fun$' ) > $o ).
tff(pred_def_34,type,
'functorM$h': 'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_35,type,
'functorM_axioms$c': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_36,type,
'functorM$c': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_37,type,
'member$d': ( 'ZF$' * 'ZF_set$' ) > $o ).
tff(pred_def_38,type,
'nTCompDefined$a': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' ) > $o ).
tff(pred_def_39,type,
'preFunctor$k': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_40,type,
'natTrans$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > $o ).
tff(pred_def_41,type,
'fun_app$l': ( 'A_bool_fun$' * 'A$' ) > $o ).
tff(pred_def_42,type,
'functor_abbrev$a': ( 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' * 'ZF_ZF_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' ) > $o ).
tff(pred_def_43,type,
'functor$j': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_44,type,
'category$i': 'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' > $o ).
tff(pred_def_45,type,
'nt_abbrev$c': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' * 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ) > $o ).
tff(pred_def_46,type,
'member$g': ( 'A_b_fun$' * 'A_b_fun_set$' ) > $o ).
tff(pred_def_47,type,
'category$f': 'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > $o ).
tff(pred_def_48,type,
'fun_app$j': ( 'A_b_fun_bool_fun$' * 'A_b_fun$' ) > $o ).
tff(pred_def_49,type,
'natTransExt$d': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > $o ).
tff(pred_def_50,type,
'functor_abbrev$d': ( 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'ZF_ZF_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).
tff(pred_def_51,type,
'category_axioms$b': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > $o ).
tff(pred_def_52,type,
'category$h': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$' > $o ).
tff(pred_def_53,type,
'lSCategory_axioms$': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_54,type,
'preFunctor$l': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_55,type,
'functorExt$': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).
tff(pred_def_56,type,
'category$c': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_57,type,
'functor$k': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_58,type,
'fun_app$g': ( 'B_b_prod_bool_fun$' * 'B_b_prod$' ) > $o ).
tff(pred_def_59,type,
'extCategory$a': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_60,type,
'functorM$l': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_61,type,
'functorM$g': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_62,type,
'functor_comp_def$a': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) > $o ).
tff(pred_def_63,type,
'member$l': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_set$' ) > $o ).
tff(pred_def_64,type,
'preFunctor$g': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_65,type,
'functor$h': 'A_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_b_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_66,type,
'functorM_axioms$a': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).
tff(pred_def_67,type,
'extCategory$': 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_68,type,
'natTransExt$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > $o ).
tff(pred_def_69,type,
'compDefined$c': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' ) > $o ).
tff(pred_def_70,type,
'category_axioms$': 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_71,type,
'functor_comp_def$f': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ) > $o ).
tff(pred_def_72,type,
'functor_abbrev$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'ZF_ZF_unit_Category_ext$' ) > $o ).
tff(pred_def_73,type,
'functorM$i': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).
tff(pred_def_74,type,
'member$m': ( 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun$' * 'B_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_fun_set$' ) > $o ).
tff(pred_def_75,type,
'member$a': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_set$' ) > $o ).
tff(pred_def_76,type,
'functor$f': 'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_77,type,
'natTransP$d': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > $o ).
tff(pred_def_78,type,
'natTrans$c': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > $o ).
tff(pred_def_79,type,
'mapsTo$c': ( 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' * 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' ) > $o ).
tff(pred_def_80,type,
'fun_app$e': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_bool_fun$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' ) > $o ).
tff(pred_def_81,type,
'functor_abbrev$e': ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).
tff(pred_def_82,type,
'functor$b': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_83,type,
'functorM$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_84,type,
'fun_app$k': ( 'B_bool_fun$' * 'B$' ) > $o ).
tff(pred_def_85,type,
'natTrans$b': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > $o ).
tff(pred_def_86,type,
'natTrans$d': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > $o ).
tff(pred_def_87,type,
'member$n': ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_set$' ) > $o ).
tff(pred_def_88,type,
'functorExt$d': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_89,type,
'member$h': ( 'B$' * 'B_set$' ) > $o ).
tff(pred_def_90,type,
'functorM_axioms$b': 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_91,type,
'functor_comp_def$d': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' ) > $o ).
tff(pred_def_92,type,
'member$i': ( 'A$' * 'A_set$' ) > $o ).
tff(pred_def_93,type,
'functor$i': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).
tff(pred_def_94,type,
'category$e': 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext_a_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext_unit_Category_ext$' > $o ).
tff(pred_def_95,type,
'natTransP$c': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > $o ).
tff(pred_def_96,type,
'category$g': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > $o ).
tff(pred_def_97,type,
'nt_abbrev$a': ( 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > $o ).
tff(pred_def_98,type,
'functor$l': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_99,type,
'member$o': ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_ZF_fun_set$' ) > $o ).
tff(pred_def_100,type,
'equivalence_axioms$a': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_101,type,
'category_axioms$a': 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_102,type,
'preFunctor$j': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_103,type,
'fun_app$a': ( 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod$' ) > $o ).
tff(pred_def_104,type,
'preFunctor$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_105,type,
'natTransP$a': 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > $o ).
tff(pred_def_106,type,
'member$c': ( 'B_b_prod$' * 'B_b_prod_set$' ) > $o ).
tff(pred_def_107,type,
'preFunctor$f': 'ZF_ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_ZF_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_108,type,
'functor_abbrev$b': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).
tff(pred_def_109,type,
'member$p': ( 'B_b_prod_b_fun$' * 'B_b_prod_b_fun_set$' ) > $o ).
tff(pred_def_110,type,
'category$j': 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > $o ).
tff(pred_def_111,type,
'member$b': ( 'ZF_ZF_prod$' * 'ZF_ZF_prod_set$' ) > $o ).
tff(pred_def_112,type,
'preFunctor$i': 'ZF_ZF_ZF_ZF_unit_unit_unit_Functor_ext_a_ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).
tff(pred_def_113,type,
'functor_comp_def$': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' ) > $o ).
tff(pred_def_114,type,
'natTransExt$b': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > $o ).
tff(pred_def_115,type,
'functor$d': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_116,type,
'category$': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_Category_ext$' > $o ).
tff(pred_def_117,type,
'functorExt$c': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).
tff(pred_def_118,type,
'functorM$k': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_119,type,
'functor$c': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).
tff(pred_def_120,type,
'fun_app$i': ( 'B_a_fun_bool_fun$' * 'B_a_fun$' ) > $o ).
tff(pred_def_121,type,
'functorM$j': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext$' > $o ).
tff(pred_def_122,type,
'equivalence$a': 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_123,type,
'preFunctor$b': 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_Functor_ext$' > $o ).
tff(pred_def_124,type,
'functor_comp_def$g': ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_unit_unit_unit_Functor_ext$' ) > $o ).
tff(pred_def_125,type,
'nt_abbrev$b': ( 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' * 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' * 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_Functor_ext$' ) > $o ).
tff(pred_def_126,type,
'category$k': 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_Functor_ext_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_ZF_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_ZF_unit_unit_unit_NatTrans_ext_unit_Category_ext$' > $o ).
tff(pred_def_127,type,
'member$e': ( 'B_ZF_fun$' * 'B_ZF_fun_set$' ) > $o ).
tff(pred_def_128,type,
sP0: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > $o ).
tff(pred_def_129,type,
sP1: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > $o ).
tff(pred_def_130,type,
sP2: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > $o ).
tff(pred_def_131,type,
sP3: 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > $o ).
tff(pred_def_132,type,
sP4: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > $o ).
tff(pred_def_133,type,
sP5: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_134,type,
sP6: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_135,type,
sP7: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_136,type,
sP8: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_137,type,
sP9: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_138,type,
sP10: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_139,type,
sP11: 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_140,type,
sP12: 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_141,type,
sP13: 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_142,type,
sP14: 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_143,type,
sP15: 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_144,type,
sP16: 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_145,type,
sP17: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_146,type,
sP18: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_147,type,
sP19: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_148,type,
sP20: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_149,type,
sP21: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_150,type,
sP22: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_151,type,
sP23: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_152,type,
sP24: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_153,type,
sP25: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_154,type,
sP26: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_155,type,
sP27: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_156,type,
sP28: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_157,type,
sP29: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_158,type,
sP30: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_159,type,
sP31: 'A_b_b_c_LSCategory_ext_Category_ext$' > $o ).
tff(pred_def_160,type,
sP32: 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_161,type,
sP33: 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_162,type,
sP34: 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_163,type,
sP35: 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_164,type,
sP36: 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_165,type,
sP37: 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_166,type,
sP38: 'ZF_ZF_unit_Category_ext$' > $o ).
tff(pred_def_167,type,
sP39: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > $o ).
tff(pred_def_168,type,
sP40: 'ZF_a_ZF_b_unit_b_c_LSCategory_ext_unit_NatTrans_ext$' > $o ).
tff(pred_def_169,type,
sP41: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > $o ).
tff(pred_def_170,type,
sP42: 'A_a_b_b_b_c_LSCategory_ext_b_c_LSCategory_ext_unit_NatTrans_ext$' > $o ).
tff(pred_def_171,type,
sP43: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > $o ).
tff(pred_def_172,type,
sP44: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > $o ).
tff(pred_def_173,type,
sP45: 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > $o ).
tff(pred_def_174,type,
sP46: 'ZF_ZF_ZF_ZF_unit_unit_unit_NatTrans_ext$' > $o ).
tff(pred_def_175,type,
sP47: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_176,type,
sP48: 'A_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext_b_a_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_177,type,
sP49: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > $o ).
tff(pred_def_178,type,
sP50: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' > $o ).
tff(pred_def_179,type,
sP51: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_180,type,
sP52: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_181,type,
sP53: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' > $o ).
tff(pred_def_182,type,
sP54: ( 'ZF$' * 'ZF$' ) > $o ).
tff(pred_def_183,type,
sP55: 'ZF_bool_fun$' > $o ).
tff(pred_def_184,type,
sP56: ( 'ZF$' * 'ZF$' ) > $o ).
tff(pred_def_185,type,
sP57: ( 'ZF$' * 'ZF$' * 'ZF$' ) > $o ).
tff(pred_def_186,type,
sP58: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > $o ).
tff(pred_def_187,type,
sP59: ( 'ZF_ZF_unit_Category_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_b_b_c_LSCategory_ext_Category_ext$' ) > $o ).
tff(pred_def_188,type,
sP60: ( 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$' * 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$' ) > $o ).
tff(pred_def_189,type,
sP61: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > $o ).
tff(pred_def_190,type,
sP62: ( 'ZF_bool_fun$' * 'ZF$' ) > $o ).
tff(pred_def_191,type,
sP63: ( 'A$' * 'B$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > $o ).
tff(pred_def_192,type,
sP64: ( 'ZF$' * 'ZF$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > $o ).
tff(pred_def_193,type,
sP264: 'ZF_bool_fun$' > $o ).
tff(pred_def_194,type,
sP265: ( 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' * 'B$' ) > $o ).
tff(pred_def_195,type,
sP266: ( 'B$' * 'A_b_b_c_LSCategory_ext_Category_ext$' * 'A$' ) > $o ).
tff(pred_def_196,type,
sP267: ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' * 'ZF$' ) > $o ).
tff(pred_def_197,type,
sP268: ( 'ZF$' * 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > $o ).
tff(f270286,plain,
$false,
inference(trivial_inequality_removal,[],[f270285]) ).
tff(f270285,plain,
'yMapInv$'('c$','x$','fun_app$v'('nTCod$c','eta$'),'yMap$'('c$','x$','eta$')) != 'yMapInv$'('c$','x$','fun_app$v'('nTCod$c','eta$'),'yMap$'('c$','x$','eta$')),
inference(forward_demodulation,[],[f270283,f263198]) ).
tff(f263198,plain,
'yMap$'('c$','x$','eta$') = 'fun_app$p'('mor2ZF$'('c$'),'zF2mor$'('c$','yMap$'('c$','x$','eta$'))),
inference(unit_resulting_resolution,[],[f1934,f1939,f1938,f1941,f2762]) ).
tff(f2762,plain,
! [X2: 'A$',X3: 'ZF$',X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$'] :
( ~ 'member$i'(X2,'obj$b'(X0))
| ~ 'fun_app$b'('elem$'(X3),'homSet$'(X0,X1,X2))
| ( 'fun_app$p'('mor2ZF$'(X0),'zF2mor$'(X0,X3)) = X3 )
| ~ 'member$i'(X1,'obj$b'(X0))
| ~ 'lSCategory$'(X0) ),
inference(cnf_transformation,[],[f1235]) ).
tff(f1235,plain,
! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$',X2: 'A$',X3: 'ZF$'] :
( ( ( 'fun_app$p'('mor2ZF$'(X0),'zF2mor$'(X0,X3)) = X3 )
& 'fun_app$l'('mapsTo$'(X0,'zF2mor$'(X0,X3),X1),X2) )
| ~ 'fun_app$b'('elem$'(X3),'homSet$'(X0,X1,X2))
| ~ 'member$i'(X2,'obj$b'(X0))
| ~ 'member$i'(X1,'obj$b'(X0))
| ~ 'lSCategory$'(X0) ),
inference(flattening,[],[f1234]) ).
tff(f1234,plain,
! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$',X2: 'A$',X3: 'ZF$'] :
( ( ( 'fun_app$p'('mor2ZF$'(X0),'zF2mor$'(X0,X3)) = X3 )
& 'fun_app$l'('mapsTo$'(X0,'zF2mor$'(X0,X3),X1),X2) )
| ~ 'fun_app$b'('elem$'(X3),'homSet$'(X0,X1,X2))
| ~ 'member$i'(X2,'obj$b'(X0))
| ~ 'member$i'(X1,'obj$b'(X0))
| ~ 'lSCategory$'(X0) ),
inference(ennf_transformation,[],[f73]) ).
tff(f73,axiom,
! [X0: 'A_b_b_c_LSCategory_ext_Category_ext$',X1: 'A$',X2: 'A$',X3: 'ZF$'] :
( ( 'fun_app$b'('elem$'(X3),'homSet$'(X0,X1,X2))
& 'member$i'(X2,'obj$b'(X0))
& 'member$i'(X1,'obj$b'(X0))
& 'lSCategory$'(X0) )
=> ( ( 'fun_app$p'('mor2ZF$'(X0),'zF2mor$'(X0,X3)) = X3 )
& 'fun_app$l'('mapsTo$'(X0,'zF2mor$'(X0,X3),X1),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom71) ).
tff(f1941,plain,
'fun_app$b'('elem$'('yMap$'('c$','x$','eta$')),'homSet$'('c$','x$','y$')),
inference(cnf_transformation,[],[f41]) ).
tff(f41,axiom,
'fun_app$b'('elem$'('yMap$'('c$','x$','eta$')),'homSet$'('c$','x$','y$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom39) ).
tff(f1938,plain,
'member$i'('y$','obj$b'('c$')),
inference(cnf_transformation,[],[f39]) ).
tff(f39,axiom,
'member$i'('y$','obj$b'('c$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom37) ).
tff(f1939,plain,
'member$i'('x$','obj$b'('c$')),
inference(cnf_transformation,[],[f38]) ).
tff(f38,axiom,
'member$i'('x$','obj$b'('c$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom36) ).
tff(f1934,plain,
'lSCategory$'('c$'),
inference(cnf_transformation,[],[f37]) ).
tff(f37,axiom,
'lSCategory$'('c$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom35) ).
tff(f270283,plain,
'yMapInv$'('c$','x$','fun_app$v'('nTCod$c','eta$'),'yMap$'('c$','x$','eta$')) != 'yMapInv$'('c$','x$','fun_app$v'('nTCod$c','eta$'),'fun_app$p'('mor2ZF$'('c$'),'zF2mor$'('c$','yMap$'('c$','x$','eta$')))),
inference(superposition,[],[f1933,f44344]) ).
tff(f44344,plain,
'mapO$'('yFtor$'('c$'),'y$') = 'fun_app$v'('nTCod$c','eta$'),
inference(unit_resulting_resolution,[],[f1942,f2714]) ).
tff(f2714,plain,
! [X2: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X0: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$',X1: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'] :
( ~ 'fun_app$f'('nt_abbrev$'(X0,X1),X2)
| ( 'fun_app$v'('nTCod$c',X0) = X2 ) ),
inference(cnf_transformation,[],[f1858]) ).
tff(f1858,plain,
! [X0: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$',X1: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X2: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'] :
( ( 'fun_app$f'('nt_abbrev$'(X0,X1),X2)
| ( 'fun_app$v'('nTCod$c',X0) != X2 )
| ( 'fun_app$v'('nTDom$c',X0) != X1 )
| ~ 'fun_app$e'('natTrans$',X0) )
& ( ( ( 'fun_app$v'('nTCod$c',X0) = X2 )
& ( 'fun_app$v'('nTDom$c',X0) = X1 )
& 'fun_app$e'('natTrans$',X0) )
| ~ 'fun_app$f'('nt_abbrev$'(X0,X1),X2) ) ),
inference(flattening,[],[f1857]) ).
tff(f1857,plain,
! [X0: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$',X1: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X2: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'] :
( ( 'fun_app$f'('nt_abbrev$'(X0,X1),X2)
| ( 'fun_app$v'('nTCod$c',X0) != X2 )
| ( 'fun_app$v'('nTDom$c',X0) != X1 )
| ~ 'fun_app$e'('natTrans$',X0) )
& ( ( ( 'fun_app$v'('nTCod$c',X0) = X2 )
& ( 'fun_app$v'('nTDom$c',X0) = X1 )
& 'fun_app$e'('natTrans$',X0) )
| ~ 'fun_app$f'('nt_abbrev$'(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f524]) ).
tff(f524,axiom,
! [X0: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_NatTrans_ext$',X1: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$',X2: 'A_ZF_b_ZF_b_c_LSCategory_ext_unit_unit_Functor_ext$'] :
( 'fun_app$f'('nt_abbrev$'(X0,X1),X2)
<=> ( ( 'fun_app$v'('nTCod$c',X0) = X2 )
& ( 'fun_app$v'('nTDom$c',X0) = X1 )
& 'fun_app$e'('natTrans$',X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom522) ).
tff(f1942,plain,
'fun_app$f'('nt_abbrev$'('eta$','mapO$'('yFtor$'('c$'),'x$')),'mapO$'('yFtor$'('c$'),'y$')),
inference(cnf_transformation,[],[f40]) ).
tff(f40,axiom,
'fun_app$f'('nt_abbrev$'('eta$','mapO$'('yFtor$'('c$'),'x$')),'mapO$'('yFtor$'('c$'),'y$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom38) ).
tff(f1933,plain,
'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'fun_app$p'('mor2ZF$'('c$'),'zF2mor$'('c$','yMap$'('c$','x$','eta$')))) != 'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'yMap$'('c$','x$','eta$')),
inference(cnf_transformation,[],[f626]) ).
tff(f626,plain,
'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'fun_app$p'('mor2ZF$'('c$'),'zF2mor$'('c$','yMap$'('c$','x$','eta$')))) != 'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'yMap$'('c$','x$','eta$')),
inference(flattening,[],[f36]) ).
tff(f36,negated_conjecture,
( ~ 'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'fun_app$p'('mor2ZF$'('c$'),'zF2mor$'('c$','yMap$'('c$','x$','eta$')))) = 'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'yMap$'('c$','x$','eta$')) ),
inference(negated_conjecture,[],[f35]) ).
tff(f35,conjecture,
'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'fun_app$p'('mor2ZF$'('c$'),'zF2mor$'('c$','yMap$'('c$','x$','eta$')))) = 'yMapInv$'('c$','x$','mapO$'('yFtor$'('c$'),'y$'),'yMap$'('c$','x$','eta$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture34) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ITP305_1 : TPTP v8.2.0. Released v8.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 16:47:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (4023)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (4026)WARNING: value z3 for option sas not known
% 0.22/0.43 % (4027)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.43 % (4030)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.43 % (4024)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.43 % (4026)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.43 % (4029)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.43 % (4028)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.44 % (4025)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 17.32/2.90 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 17.65/2.93 TRYING [1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1]
% 17.74/2.99 TRYING [2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1]
% 19.16/3.15 TRYING [3,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1]
% 21.93/3.58 TRYING [2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1]
% 22.83/3.70 TRYING [2,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1]
% 24.12/3.86 TRYING [3,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1]
% 27.75/4.39 TRYING [2,1,1,1,1,2,1,1,2,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1]
% 29.39/4.64 TRYING [2,1,1,1,1,2,1,1,2,1,1,2,1,1,1,1,1,2,2,1,1,1,1,1]
% 31.53/4.93 TRYING [2,1,1,1,1,2,1,1,2,1,1,2,1,1,1,1,1,1,2,1,1,1,2,1]
% 33.97/5.29 TRYING [3,1,1,1,1,2,1,1,2,1,1,2,1,1,1,1,1,1,2,1,1,1,2,1]
% 35.80/5.55 % (4030)First to succeed.
% 35.80/5.55 % (4030)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4023"
% 35.80/5.57 % (4030)Refutation found. Thanks to Tanya!
% 35.80/5.57 % SZS status Theorem for theBenchmark
% 35.80/5.57 % SZS output start Proof for theBenchmark
% See solution above
% 35.80/5.57 % (4030)------------------------------
% 35.80/5.57 % (4030)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 35.80/5.57 % (4030)Termination reason: Refutation
% 35.80/5.57
% 35.80/5.57 % (4030)Memory used [KB]: 97216
% 35.80/5.57 % (4030)Time elapsed: 5.114 s
% 35.80/5.57 % (4030)Instructions burned: 12915 (million)
% 35.80/5.57 % (4023)Success in time 5.174 s
%------------------------------------------------------------------------------