%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SCT126+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n019.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 : Fri May 19 11:51:35 EDT 2023

% Result   : Theorem 0.43s 1.38s
% Output   : Proof 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SCT126+1 : TPTP v8.1.2. Released v5.2.0.
% 0.04/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May 18 15:29:57 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.43/1.38  
% 0.43/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.43/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/1.38  %-----------------------------------------------------
% 0.43/1.38  ncf(matrix, plain, [(5968 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(v_F, v_Q____)), c_Arrow__Order__Mirabelle_OLin))], (2 ^ _83121) ^ [_83151] : [-(_83151 = _83151)], (4 ^ _83121) ^ [_83174, _83176] : [_83176 = _83174, -(_83174 = _83176)], (10 ^ _83121) ^ [_83247, _83249, _83251] : [-(_83251 = _83247), _83251 = _83249, _83249 = _83247], (20 ^ _83121) ^ [_83384, _83386, _83388, _83390] : [-(c_Arrow__Order__Mirabelle_Odictator(_83388, _83384)), c_Arrow__Order__Mirabelle_Odictator(_83390, _83386), _83390 = _83388, _83386 = _83384], (34 ^ _83121) ^ [_83577, _83579] : [-(c_Arrow__Order__Mirabelle_OIIA(_83577)), _83579 = _83577, c_Arrow__Order__Mirabelle_OIIA(_83579)], (44 ^ _83121) ^ [_83702, _83704] : [-(c_Arrow__Order__Mirabelle_Ounanimity(_83702)), _83704 = _83702, c_Arrow__Order__Mirabelle_Ounanimity(_83704)], (54 ^ _83121) ^ [_83827, _83829, _83831, _83833] : [-(c_Relation_Oirrefl(_83831, _83827)), c_Relation_Oirrefl(_83833, _83829), _83833 = _83831, _83829 = _83827], (68 ^ _83121) ^ [_84020, _84022, _84024, _84026, _84028, _84030, _84032, _84034, _84036, _84038] : [-(c_FunDef_Oin__rel(_84036, _84032, _84028, _84024, _84020)), c_FunDef_Oin__rel(_84038, _84034, _84030, _84026, _84022), _84038 = _84036, _84034 = _84032, _84030 = _84028, _84026 = _84024, _84022 = _84020], (94 ^ _83121) ^ [_84465, _84467, _84469, _84471] : [-(c_Nitpick_Orefl_H(_84469, _84465)), c_Nitpick_Orefl_H(_84471, _84467), _84471 = _84469, _84467 = _84465], (108 ^ _83121) ^ [_84658, _84660, _84662, _84664, _84666, _84668, _84670, _84672] : [-(c_Predicate_ORangeP(_84670, _84666, _84662, _84658)), c_Predicate_ORangeP(_84672, _84668, _84664, _84660), _84672 = _84670, _84668 = _84666, _84664 = _84662, _84660 = _84658], (130 ^ _83121) ^ [_85011, _85013, _85015, _85017, _85019, _85021, _85023, _85025] : [-(c_Predicate_ODomainP(_85023, _85019, _85015, _85011)), c_Predicate_ODomainP(_85025, _85021, _85017, _85013), _85025 = _85023, _85021 = _85019, _85017 = _85015, _85013 = _85011], (152 ^ _83121) ^ [_85364, _85366, _85368, _85370, _85372, _85374, _85376, _85378] : [-(c_Recdef_Oadm__wf(_85376, _85372, _85368, _85364)), c_Recdef_Oadm__wf(_85378, _85374, _85370, _85366), _85378 = _85376, _85374 = _85372, _85370 = _85368, _85366 = _85364], (174 ^ _83121) ^ [_85717, _85719, _85721, _85723, _85725, _85727] : [-(c_Relation_Orefl__on(_85725, _85721, _85717)), c_Relation_Orefl__on(_85727, _85723, _85719), _85727 = _85725, _85723 = _85721, _85719 = _85717], (192 ^ _83121) ^ [_85986, _85988, _85990, _85992, _85994, _85996] : [-(c_Relation_Ototal__on(_85994, _85990, _85986)), c_Relation_Ototal__on(_85996, _85992, _85988), _85996 = _85994, _85992 = _85990, _85988 = _85986], (210 ^ _83121) ^ [_86255, _86257, _86259, _86261, _86263, _86265, _86267, _86269, _86271, _86273, _86275, _86277] : [-(c_Nitpick_Ofold__graph_H(_86275, _86271, _86267, _86263, _86259, _86255)), c_Nitpick_Ofold__graph_H(_86277, _86273, _86269, _86265, _86261, _86257), _86277 = _86275, _86273 = _86271, _86269 = _86267, _86265 = _86263, _86261 = _86259, _86257 = _86255], (240 ^ _83121) ^ [_86800, _86802] : [-(class_Orderings_Olinorder(_86800)), _86802 = _86800, class_Orderings_Olinorder(_86802)], (250 ^ _83121) ^ [_86925, _86927, _86929, _86931] : [-(c_Wellfounded_Oacyclic(_86929, _86925)), c_Wellfounded_Oacyclic(_86931, _86927), _86931 = _86929, _86927 = _86925], (264 ^ _83121) ^ [_87118, _87120, _87122, _87124, _87126, _87128] : [-(c_Relation_Osingle__valued(_87126, _87122, _87118)), c_Relation_Osingle__valued(_87128, _87124, _87120), _87128 = _87126, _87124 = _87122, _87120 = _87118], (282 ^ _83121) ^ [_87387, _87389] : [-(class_Groups_Oordered__ab__group__add(_87387)), _87389 = _87387, class_Groups_Oordered__ab__group__add(_87389)], (292 ^ _83121) ^ [_87512, _87514, _87516, _87518, _87520, _87522] : [-(c_Orderings_Oord__class_Oless__eq(_87520, _87516, _87512)), c_Orderings_Oord__class_Oless__eq(_87522, _87518, _87514), _87522 = _87520, _87518 = _87516, _87514 = _87512], (310 ^ _83121) ^ [_87781, _87783] : [-(class_Groups_Oab__group__add(_87781)), _87783 = _87781, class_Groups_Oab__group__add(_87783)], (320 ^ _83121) ^ [_87906, _87908, _87910, _87912, _87914, _87916, _87918, _87920] : [-(c_Fun_Oinj__on(_87918, _87914, _87910, _87906)), c_Fun_Oinj__on(_87920, _87916, _87912, _87908), _87920 = _87918, _87916 = _87914, _87912 = _87910, _87908 = _87906], (342 ^ _83121) ^ [_88259, _88261, _88263, _88265, _88267, _88269] : [-(c_Equiv__Relations_Oequiv(_88267, _88263, _88259)), c_Equiv__Relations_Oequiv(_88269, _88265, _88261), _88269 = _88267, _88265 = _88263, _88261 = _88259], (360 ^ _83121) ^ [_88528, _88530, _88532, _88534, _88536, _88538, _88540, _88542] : [-(c_Equiv__Relations_Ocongruent(_88540, _88536, _88532, _88528)), c_Equiv__Relations_Ocongruent(_88542, _88538, _88534, _88530), _88542 = _88540, _88538 = _88536, _88534 = _88532, _88530 = _88528], (382 ^ _83121) ^ [_88881, _88883] : [-(class_Lattices_Obounded__lattice(_88881)), _88883 = _88881, class_Lattices_Obounded__lattice(_88883)], (392 ^ _83121) ^ [_89006, _89008] : [-(class_Lattices_Obounded__lattice__bot(_89006)), _89008 = _89006, class_Lattices_Obounded__lattice__bot(_89008)], (402 ^ _83121) ^ [_89131, _89133] : [-(class_Lattices_Osemilattice__inf(_89131)), _89133 = _89131, class_Lattices_Osemilattice__inf(_89133)], (412 ^ _83121) ^ [_89256, _89258] : [-(class_Orderings_Opreorder(_89256)), _89258 = _89256, class_Orderings_Opreorder(_89258)], (422 ^ _83121) ^ [_89381, _89383] : [-(class_Lattices_Olattice(_89381)), _89383 = _89381, class_Lattices_Olattice(_89383)], (432 ^ _83121) ^ [_89506, _89508] : [-(class_Orderings_Oorder(_89506)), _89508 = _89506, class_Orderings_Oorder(_89508)], (442 ^ _83121) ^ [_89631, _89633] : [-(class_Orderings_Oord(_89631)), _89633 = _89631, class_Orderings_Oord(_89633)], (452 ^ _83121) ^ [_89756, _89758] : [-(class_Orderings_Obot(_89756)), _89758 = _89756, class_Orderings_Obot(_89758)], (462 ^ _83121) ^ [_89881, _89883] : [-(class_Groups_Ominus(_89881)), _89883 = _89881, class_Groups_Ominus(_89883)], (472 ^ _83121) ^ [_90002, _90004] : [-(hBOOL(_90002)), _90004 = _90002, hBOOL(_90004)], (482 ^ _83121) ^ [_90228, _90230, _90232, _90234, _90236, _90238, _90240, _90242] : [-(c_HOL_OLet(_90242, _90238, _90234, _90230) = c_HOL_OLet(_90240, _90236, _90232, _90228)), _90242 = _90240, _90238 = _90236, _90234 = _90232, _90230 = _90228], (500 ^ _83121) ^ [_90529, _90531, _90533, _90535, _90537, _90539] : [-(c_Arrow__Order__Mirabelle_Obelow(_90539, _90535, _90531) = c_Arrow__Order__Mirabelle_Obelow(_90537, _90533, _90529)), _90539 = _90537, _90535 = _90533, _90531 = _90529], (514 ^ _83121) ^ [_90750, _90752, _90754, _90756] : [-(c_If(_90756, _90752) = c_If(_90754, _90750)), _90756 = _90754, _90752 = _90750], (524 ^ _83121) ^ [_90899, _90901, _90903, _90905] : [-(c_Arrow__Order__Mirabelle_Omktop(_90905, _90901) = c_Arrow__Order__Mirabelle_Omktop(_90903, _90899)), _90905 = _90903, _90901 = _90899], (534 ^ _83121) ^ [_91048, _91050, _91052, _91054] : [-(c_Arrow__Order__Mirabelle_Omkbot(_91054, _91050) = c_Arrow__Order__Mirabelle_Omkbot(_91052, _91048)), _91054 = _91052, _91050 = _91048], (544 ^ _83121) ^ [_91197, _91199, _91201, _91203, _91205, _91207, _91209, _91211] : [-(c_Recdef_Osame__fst(_91211, _91207, _91203, _91199) = c_Recdef_Osame__fst(_91209, _91205, _91201, _91197)), _91211 = _91209, _91207 = _91205, _91203 = _91201, _91199 = _91197], (562 ^ _83121) ^ [_91498, _91500, _91502, _91504, _91506, _91508, _91510, _91512] : [-(c_Wellfounded_Olex__prod(_91512, _91508, _91504, _91500) = c_Wellfounded_Olex__prod(_91510, _91506, _91502, _91498)), _91512 = _91510, _91508 = _91506, _91504 = _91502, _91500 = _91498], (580 ^ _83121) ^ [_91799, _91801, _91803, _91805, _91807, _91809, _91811, _91813] : [-(c_Relation_Oinv__image(_91813, _91809, _91805, _91801) = c_Relation_Oinv__image(_91811, _91807, _91803, _91799)), _91813 = _91811, _91809 = _91807, _91805 = _91803, _91801 = _91799], (598 ^ _83121) ^ [_92100, _92102, _92104, _92106] : [-(c_Recdef_Ocut(_92106, _92102) = c_Recdef_Ocut(_92104, _92100)), _92106 = _92104, _92102 = _92100], (608 ^ _83121) ^ [_92249, _92251, _92253, _92255, _92257, _92259] : [-(c_Predicate_Oconversep(_92259, _92255, _92251) = c_Predicate_Oconversep(_92257, _92253, _92249)), _92259 = _92257, _92255 = _92253, _92251 = _92249], (622 ^ _83121) ^ [_92470, _92472, _92474, _92476] : [-(c_Set_Othe__elem(_92476, _92472) = c_Set_Othe__elem(_92474, _92470)), _92476 = _92474, _92472 = _92470], (632 ^ _83121) ^ [_92619, _92621] : [_92621 = _92619, -(c_HOL_Oundefined(_92621) = c_HOL_Oundefined(_92619))], (638 ^ _83121) ^ [_92704, _92706, _92708, _92710, _92712, _92714, _92716, _92718] : [-(c_FuncSet_Oextensional__funcset(_92718, _92714, _92710, _92706) = c_FuncSet_Oextensional__funcset(_92716, _92712, _92708, _92704)), _92718 = _92716, _92714 = _92712, _92710 = _92708, _92706 = _92704], (656 ^ _83121) ^ [_93005, _93007, _93009, _93011] : [-(c_Relation_OId__on(_93011, _93007) = c_Relation_OId__on(_93009, _93005)), _93011 = _93009, _93007 = _93005], (666 ^ _83121) ^ [_93154, _93156, _93158, _93160, _93162, _93164, _93166, _93168, _93170, _93172] : [-(c_Fun_Ofun__upd(_93172, _93168, _93164, _93160, _93156) = c_Fun_Ofun__upd(_93170, _93166, _93162, _93158, _93154)), _93172 = _93170, _93168 = _93166, _93164 = _93162, _93160 = _93158, _93156 = _93154], (688 ^ _83121) ^ [_93543, _93545, _93547, _93549, _93551, _93553] : [-(c_Relation_Oconverse(_93553, _93549, _93545) = c_Relation_Oconverse(_93551, _93547, _93543)), _93553 = _93551, _93549 = _93547, _93545 = _93543], (702 ^ _83121) ^ [_93764, _93766, _93768, _93770, _93772, _93774, _93776, _93778, _93780, _93782, _93784, _93786] : [-(c_FuncSet_Ocompose(_93786, _93782, _93778, _93774, _93770, _93766) = c_FuncSet_Ocompose(_93784, _93780, _93776, _93772, _93768, _93764)), _93786 = _93784, _93782 = _93780, _93778 = _93776, _93774 = _93772, _93770 = _93768, _93766 = _93764], (728 ^ _83121) ^ [_94249, _94251, _94253, _94255, _94257, _94259, _94261, _94263] : [-(c_FuncSet_Orestrict(_94263, _94259, _94255, _94251) = c_FuncSet_Orestrict(_94261, _94257, _94253, _94249)), _94263 = _94261, _94259 = _94257, _94255 = _94253, _94251 = _94249], (746 ^ _83121) ^ [_94550, _94552, _94554, _94556] : [-(c_Transitive__Closure_Otrancl(_94556, _94552) = c_Transitive__Closure_Otrancl(_94554, _94550)), _94556 = _94554, _94552 = _94550], (756 ^ _83121) ^ [_94699, _94701, _94703, _94705] : [-(c_Wellfounded_Oacc(_94705, _94701) = c_Wellfounded_Oacc(_94703, _94699)), _94705 = _94703, _94701 = _94699], (766 ^ _83121) ^ [_94848, _94850, _94852, _94854] : [-(c_Transitive__Closure_Ortrancl(_94854, _94850) = c_Transitive__Closure_Ortrancl(_94852, _94848)), _94854 = _94852, _94850 = _94848], (776 ^ _83121) ^ [_94997, _94999, _95001, _95003, _95005, _95007] : [-(c_FuncSet_Oextensional(_95007, _95003, _94999) = c_FuncSet_Oextensional(_95005, _95001, _94997)), _95007 = _95005, _95003 = _95001, _94999 = _94997], (790 ^ _83121) ^ [_95218, _95220, _95222, _95224, _95226, _95228, _95230, _95232] : [-(c_Hilbert__Choice_Oinv__into(_95232, _95228, _95224, _95220) = c_Hilbert__Choice_Oinv__into(_95230, _95226, _95222, _95218)), _95232 = _95230, _95228 = _95226, _95224 = _95222, _95220 = _95218], (808 ^ _83121) ^ [_95519, _95521, _95523, _95525, _95527, _95529] : [-(c_Relation_ODomain(_95529, _95525, _95521) = c_Relation_ODomain(_95527, _95523, _95519)), _95529 = _95527, _95525 = _95523, _95521 = _95519], (822 ^ _83121) ^ [_95740, _95742, _95744, _95746, _95748, _95750] : [-(c_Relation_ORange(_95750, _95746, _95742) = c_Relation_ORange(_95748, _95744, _95740)), _95750 = _95748, _95746 = _95744, _95742 = _95740], (836 ^ _83121) ^ [_95961, _95963, _95965, _95967, _95969, _95971, _95973, _95975] : [-(c_FuncSet_OPi(_95975, _95971, _95967, _95963) = c_FuncSet_OPi(_95973, _95969, _95965, _95961)), _95975 = _95973, _95971 = _95969, _95967 = _95965, _95963 = _95961], (854 ^ _83121) ^ [_96262, _96264, _96266, _96268, _96270, _96272] : [-(c_Lattices_Osemilattice__inf__class_Oinf(_96272, _96268, _96264) = c_Lattices_Osemilattice__inf__class_Oinf(_96270, _96266, _96262)), _96272 = _96270, _96268 = _96266, _96264 = _96262], (868 ^ _83121) ^ [_96483, _96485, _96487, _96489, _96491, _96493] : [-(c_Partial__Function_Oflat__lub(_96493, _96489, _96485) = c_Partial__Function_Oflat__lub(_96491, _96487, _96483)), _96493 = _96491, _96489 = _96487, _96485 = _96483], (882 ^ _83121) ^ [_96704, _96706, _96708, _96710] : [-(c_Wellfounded_Oaccp(_96710, _96706) = c_Wellfounded_Oaccp(_96708, _96704)), _96710 = _96708, _96706 = _96704], (892 ^ _83121) ^ [_96853, _96855, _96857, _96859, _96861, _96863] : [-(c_Groups_Ominus__class_Ominus(_96863, _96859, _96855) = c_Groups_Ominus__class_Ominus(_96861, _96857, _96853)), _96863 = _96861, _96859 = _96857, _96855 = _96853], (906 ^ _83121) ^ [_97074, _97076, _97078, _97080] : [-(c_HOL_OThe(_97080, _97076) = c_HOL_OThe(_97078, _97074)), _97080 = _97078, _97076 = _97074], (916 ^ _83121) ^ [_97223, _97225, _97227, _97229, _97231, _97233, _97235, _97237] : [-(c_Set_Oimage(_97237, _97233, _97229, _97225) = c_Set_Oimage(_97235, _97231, _97227, _97223)), _97237 = _97235, _97233 = _97231, _97229 = _97227, _97225 = _97223], (934 ^ _83121) ^ [_97524, _97526, _97528, _97530, _97532, _97534, _97536, _97538] : [-(c_Fun_Othe__inv__into(_97538, _97534, _97530, _97526) = c_Fun_Othe__inv__into(_97536, _97532, _97528, _97524)), _97538 = _97536, _97534 = _97532, _97530 = _97528, _97526 = _97524], (952 ^ _83121) ^ [_97825, _97827] : [_97827 = _97825, -(c_Equiv__Relations_Oquotient(_97827) = c_Equiv__Relations_Oquotient(_97825))], (958 ^ _83121) ^ [_97910, _97912, _97914, _97916] : [-(c_Product__Type_OPair(_97916, _97912) = c_Product__Type_OPair(_97914, _97910)), _97916 = _97914, _97912 = _97910], (968 ^ _83121) ^ [_98059, _98061, _98063, _98065, _98067, _98069] : [-(c_Relation_OImage(_98069, _98065, _98061) = c_Relation_OImage(_98067, _98063, _98059)), _98069 = _98067, _98065 = _98063, _98061 = _98059], (982 ^ _83121) ^ [_98280, _98282] : [_98282 = _98280, -(c_Set_Oinsert(_98282) = c_Set_Oinsert(_98280))], (988 ^ _83121) ^ [_98365, _98367] : [_98367 = _98365, -(c_Orderings_Obot__class_Obot(_98367) = c_Orderings_Obot__class_Obot(_98365))], (994 ^ _83121) ^ [_98450, _98452, _98454, _98456, _98458, _98460, _98462, _98464] : [-(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_98464, _98460, _98456, _98452) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_98462, _98458, _98454, _98450)), _98464 = _98462, _98460 = _98458, _98456 = _98454, _98452 = _98450], (1012 ^ _83121) ^ [_98751, _98753] : [_98753 = _98751, -(c_COMBI(_98753) = c_COMBI(_98751))], (1018 ^ _83121) ^ [_98836, _98838, _98840, _98842, _98844, _98846] : [-(c_COMBK(_98846, _98842, _98838) = c_COMBK(_98844, _98840, _98836)), _98846 = _98844, _98842 = _98840, _98838 = _98836], (1032 ^ _83121) ^ [_99057, _99059, _99061, _99063, _99065, _99067, _99069, _99071] : [-(c_COMBB(_99071, _99067, _99063, _99059) = c_COMBB(_99069, _99065, _99061, _99057)), _99071 = _99069, _99067 = _99065, _99063 = _99061, _99059 = _99057], (1050 ^ _83121) ^ [_99358, _99360, _99362, _99364, _99366, _99368] : [-(c_COMBC(_99368, _99364, _99360) = c_COMBC(_99366, _99362, _99358)), _99368 = _99366, _99364 = _99362, _99360 = _99358], (1064 ^ _83121) ^ [_99579, _99581, _99583, _99585, _99587, _99589] : [-(c_COMBS(_99589, _99585, _99581) = c_COMBS(_99587, _99583, _99579)), _99589 = _99587, _99585 = _99583, _99581 = _99579], (1078 ^ _83121) ^ [_99800, _99802] : [_99802 = _99800, -(c_member(_99802) = c_member(_99800))], (1084 ^ _83121) ^ [_99885, _99887, _99889, _99891] : [-(tc_fun(_99891, _99887) = tc_fun(_99889, _99885)), _99891 = _99889, _99887 = _99885], (1094 ^ _83121) ^ [_100034, _100036, _100038, _100040] : [-(tc_prod(_100040, _100036) = tc_prod(_100038, _100034)), _100040 = _100038, _100036 = _100034], (1104 ^ _83121) ^ [_100179, _100181, _100183, _100185] : [-(hAPP(_100185, _100181) = hAPP(_100183, _100179)), _100185 = _100183, _100181 = _100179], (1114 ^ _83121) ^ [_100570, _100572] : [hAPP(_100570, 1115 ^ [_100570, _100572]) = hAPP(_100572, 1115 ^ [_100570, _100572]), -(_100570 = _100572)], (1121 ^ _83121) ^ [] : [-(c_Arrow__Order__Mirabelle_OIIA(v_F))], (1123 ^ _83121) ^ [] : [-(c_Arrow__Order__Mirabelle_Ounanimity(v_F))], (1125 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_Q____), c_Arrow__Order__Mirabelle_OProf)))], (1127 ^ _83121) ^ [_100750, _100752] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _100750), c_Arrow__Order__Mirabelle_OLin)), -(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_Omkbot(_100750, _100752)), c_Arrow__Order__Mirabelle_OLin)))], (1133 ^ _83121) ^ [_100853, _100855] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _100853), c_Arrow__Order__Mirabelle_OLin)), -(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_Omktop(_100853, _100855)), c_Arrow__Order__Mirabelle_OLin)))], (1139 ^ _83121) ^ [_100956, _100958, _100960, _100962] : [_100956 = _100958, 1144 ^ _83121 : [(1145 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_100960), _100962), _100956)))], (1147 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_100960), _100962), _100958)))]], 1148 ^ _83121 : [(1149 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_100960), _100962), _100956))], (1151 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_100960), _100962), _100958))]]], (1153 ^ _83121) ^ [_101218, _101220, _101222] : [-(_101218 = _101220), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _101222), c_Arrow__Order__Mirabelle_OLin)), -(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _101222), _101218), _101220)), c_Arrow__Order__Mirabelle_OLin)))], (1163 ^ _83121) ^ [_101386, _101388, _101390] : [-(_101386 = _101388), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _101390), c_Arrow__Order__Mirabelle_OLin)), -(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_Obelow(_101390, _101386, _101388)), c_Arrow__Order__Mirabelle_OLin)))], (1173 ^ _83121) ^ [] : [v_a_H____ = v_b_H____], (1176 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), 1174 ^ []), c_Arrow__Order__Mirabelle_OLin)))], (1178 ^ _83121) ^ [_101617, _101619, _101621] : [hBOOL(hAPP(hAPP(c_member(_101617), _101619), _101621)), -(hBOOL(hAPP(_101621, _101619)))], (1184 ^ _83121) ^ [_101710, _101712, _101714] : [hBOOL(hAPP(_101714, _101712)), -(hBOOL(hAPP(hAPP(c_member(_101710), _101712), _101714)))], (1190 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_P_H____), c_Arrow__Order__Mirabelle_OProf)))], (1192 ^ _83121) ^ [] : [v_b____ = v_a_H____], (1194 ^ _83121) ^ [] : [v_a____ = v_b_H____], (1196 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_P____), c_Arrow__Order__Mirabelle_OProf)))], (1198 ^ _83121) ^ [_101893, _101895, _101897, _101899] : [_101893 = _101895, hBOOL(hAPP(hAPP(c_member(_101897), _101895), _101899)), -(hBOOL(hAPP(hAPP(c_member(_101897), _101893), _101899)))], (1208 ^ _83121) ^ [_102058, _102060, _102062, _102064] : [_102058 = _102060, 1211 ^ _83121 : [(1212 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_102062), _102058), _102064)), -(hBOOL(hAPP(hAPP(c_member(_102062), _102060), _102064)))], (1218 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_102062), _102060), _102064)), -(hBOOL(hAPP(hAPP(c_member(_102062), _102058), _102064)))]]], (1224 ^ _83121) ^ [_102319, _102321, _102323, _102325] : [_102319 = _102321, 1227 ^ _83121 : [(1228 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_102323), _102325), _102319)), -(hBOOL(hAPP(hAPP(c_member(_102323), _102325), _102321)))], (1234 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_102323), _102325), _102321)), -(hBOOL(hAPP(hAPP(c_member(_102323), _102325), _102319)))]]], (1250 ^ _83121) ^ [_102770, _102772] : [1252 ^ _83121 : [(1253 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), 1251 ^ [_102770, _102772]), c_Arrow__Order__Mirabelle_OProf)))], (1255 ^ _83121) ^ [] : [hAPP(_102770, 1251 ^ [_102770, _102772]) = hAPP(1251 ^ [_102770, _102772], _102772)]], -(c_Arrow__Order__Mirabelle_Odictator(_102770, _102772))], (1240 ^ _83121) ^ [_102595, _102597] : [c_Arrow__Order__Mirabelle_Odictator(_102595, _102597), 1243 ^ _83121 : [(1244 ^ _83121) ^ [_102669] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _102669), c_Arrow__Order__Mirabelle_OProf)), -(hAPP(_102595, _102669) = hAPP(_102669, _102597))]]], (1259 ^ _83121) ^ [_102946, _102948, _102950, _102952, _102954] : [-(_102946 = _102948), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _102950), c_Arrow__Order__Mirabelle_OLin)), 1266 ^ _83121 : [(1299 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _102952), _102954)), c_Arrow__Order__Mirabelle_Obelow(_102950, _102946, _102948)))), -(_102952 = _102954), 1306 ^ _83121 : [(1307 ^ _83121) ^ [] : [-(_102954 = _102946)], (1309 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _102952), _102948)), _102950))]], 1310 ^ _83121 : [(1311 ^ _83121) ^ [] : [_102954 = _102946], (1313 ^ _83121) ^ [] : [1314 ^ _83121 : [(1315 ^ _83121) ^ [] : [-(_102952 = _102946)], (1317 ^ _83121) ^ [] : [_102954 = _102948], (1319 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _102948), _102954)), _102950))]], 1320 ^ _83121 : [(1321 ^ _83121) ^ [] : [_102952 = _102946], (1323 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _102952), _102954)), _102950))]]]]], (1267 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _102952), _102954)), c_Arrow__Order__Mirabelle_Obelow(_102950, _102946, _102948))), 1270 ^ _83121 : [(1271 ^ _83121) ^ [] : [_102952 = _102954], (1273 ^ _83121) ^ [] : [_102954 = _102946, -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _102952), _102948)), _102950)))], (1279 ^ _83121) ^ [] : [-(_102954 = _102946), 1282 ^ _83121 : [(1293 ^ _83121) ^ [] : [-(_102952 = _102946), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _102952), _102954)), _102950)))], (1283 ^ _83121) ^ [] : [_102952 = _102946, -(_102954 = _102948), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _102948), _102954)), _102950)))]]]]]]], (1327 ^ _83121) ^ [_103988, _103990, _103992, _103994, _103996] : [-(_103988 = _103990), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _103992), c_Arrow__Order__Mirabelle_OLin)), 1334 ^ _83121 : [(1367 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _103994), _103996)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _103992), _103988), _103990)))), -(_103994 = _103996), 1374 ^ _83121 : [(1375 ^ _83121) ^ [] : [-(_103994 = _103990)], (1377 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _103988), _103996)), _103992))]], 1378 ^ _83121 : [(1379 ^ _83121) ^ [] : [_103994 = _103990], (1381 ^ _83121) ^ [] : [1382 ^ _83121 : [(1383 ^ _83121) ^ [] : [-(_103996 = _103990)], (1385 ^ _83121) ^ [] : [_103994 = _103988], (1387 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _103994), _103988)), _103992))]], 1388 ^ _83121 : [(1389 ^ _83121) ^ [] : [_103996 = _103990], (1391 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _103994), _103996)), _103992))]]]]], (1335 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _103994), _103996)), hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove, _103992), _103988), _103990))), 1338 ^ _83121 : [(1339 ^ _83121) ^ [] : [_103994 = _103996], (1341 ^ _83121) ^ [] : [_103994 = _103990, -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _103988), _103996)), _103992)))], (1347 ^ _83121) ^ [] : [-(_103994 = _103990), 1350 ^ _83121 : [(1361 ^ _83121) ^ [] : [-(_103996 = _103990), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _103994), _103996)), _103992)))], (1351 ^ _83121) ^ [] : [_103996 = _103990, -(_103994 = _103988), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _103994), _103988)), _103992)))]]]]]]], (1395 ^ _83121) ^ [_105046] : [-(hAPP(v_Q____, _105046) = c_HOL_OLet(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), hAPP(hAPP(c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), hAPP(hAPP(c_fequal, v_a____), v_a_H____)), hAPP(v_P____, _105046)), c_Arrow__Order__Mirabelle_Obelow(hAPP(v_P____, _105046), v_a_H____, v_a____)), hAPP(hAPP(c_COMBS(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), hAPP(hAPP(c_fequal, v_b____), v_b_H____))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_Arrow__Order__Mirabelle_Oalt, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), c_Arrow__Order__Mirabelle_Oabove), v_b____)), v_b_H____))))], (1397 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_F), c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), c_Arrow__Order__Mirabelle_OProf, c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_OLin)))))], (1399 ^ _83121) ^ [_105129, _105131, _105133] : [hBOOL(hAPP(hAPP(c_member(_105129), _105131), hAPP(c_fequal, _105133))), -(_105131 = _105133)], (1405 ^ _83121) ^ [_105224, _105226, _105228] : [_105226 = _105228, -(hBOOL(hAPP(hAPP(c_member(_105224), _105226), hAPP(c_fequal, _105228))))], (1411 ^ _83121) ^ [_105337] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _105337)), c_Arrow__Order__Mirabelle_OLin)), -(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _105337), c_Arrow__Order__Mirabelle_OLin)))], (1417 ^ _83121) ^ [_105436] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _105436), c_Arrow__Order__Mirabelle_OLin)), -(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, _105436)), c_Arrow__Order__Mirabelle_OLin)))], (1423 ^ _83121) ^ [_105541, _105543, _105545] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _105541), c_Arrow__Order__Mirabelle_OLin)), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _105543), _105545)), _105541)), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _105545), _105543)), _105541))], (1433 ^ _83121) ^ [_105729, _105731, _105733] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _105729), c_Arrow__Order__Mirabelle_OLin)), -(_105731 = _105733), 1440 ^ _83121 : [(1441 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _105731), _105733)), _105729))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _105733), _105731)), _105729)))], (1447 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _105733), _105731)), _105729)), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _105731), _105733)), _105729))]]], (1453 ^ _83121) ^ [_106031] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), _106031), c_Arrow__Order__Mirabelle_OLin)), -(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_Arrow__Order__Mirabelle_Oindi, _106031)), c_Arrow__Order__Mirabelle_OProf)))], (1459 ^ _83121) ^ [_106146] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _106146))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a_H____), v_b_H____)), hAPP(v_P_H____, _106146))))], (1465 ^ _83121) ^ [_106237] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a_H____), v_b_H____)), hAPP(v_P_H____, _106237))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_P____, _106237))))], (1471 ^ _83121) ^ [] : [v_a____ = v_b____], (1473 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_a____), v_b____)), hAPP(v_F, v_P____))))], (1475 ^ _83121) ^ [_106397, _106399, _106401, _106403] : [hAPP(hAPP(c_COMBC(_106397, tc_fun(tc_prod(_106397, _106399), tc_HOL_Obool), tc_fun(_106399, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_106399, tc_fun(tc_fun(tc_prod(_106397, _106399), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_106397, _106399), tc_HOL_Obool), tc_fun(_106399, tc_HOL_Obool)), _106397, c_COMBC(_106399, tc_fun(tc_prod(_106397, _106399), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_106399, tc_prod(_106397, _106399)), tc_fun(_106399, tc_fun(tc_fun(tc_prod(_106397, _106399), tc_HOL_Obool), tc_HOL_Obool)), _106397, c_COMBB(tc_prod(_106397, _106399), tc_fun(tc_fun(tc_prod(_106397, _106399), tc_HOL_Obool), tc_HOL_Obool), _106399, c_member(tc_prod(_106397, _106399)))), c_Product__Type_OPair(_106397, _106399)))), _106401) = hAPP(hAPP(c_COMBC(_106397, tc_fun(tc_prod(_106397, _106399), tc_HOL_Obool), tc_fun(_106399, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_106399, tc_fun(tc_fun(tc_prod(_106397, _106399), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_106397, _106399), tc_HOL_Obool), tc_fun(_106399, tc_HOL_Obool)), _106397, c_COMBC(_106399, tc_fun(tc_prod(_106397, _106399), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_106399, tc_prod(_106397, _106399)), tc_fun(_106399, tc_fun(tc_fun(tc_prod(_106397, _106399), tc_HOL_Obool), tc_HOL_Obool)), _106397, c_COMBB(tc_prod(_106397, _106399), tc_fun(tc_fun(tc_prod(_106397, _106399), tc_HOL_Obool), tc_HOL_Obool), _106399, c_member(tc_prod(_106397, _106399)))), c_Product__Type_OPair(_106397, _106399)))), _106403), -(_106401 = _106403)], (1481 ^ _83121) ^ [_106922, _106924, _106926, _106928] : [_106926 = _106928, -(hAPP(hAPP(c_COMBC(_106922, tc_fun(tc_prod(_106922, _106924), tc_HOL_Obool), tc_fun(_106924, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_106924, tc_fun(tc_fun(tc_prod(_106922, _106924), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_106922, _106924), tc_HOL_Obool), tc_fun(_106924, tc_HOL_Obool)), _106922, c_COMBC(_106924, tc_fun(tc_prod(_106922, _106924), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_106924, tc_prod(_106922, _106924)), tc_fun(_106924, tc_fun(tc_fun(tc_prod(_106922, _106924), tc_HOL_Obool), tc_HOL_Obool)), _106922, c_COMBB(tc_prod(_106922, _106924), tc_fun(tc_fun(tc_prod(_106922, _106924), tc_HOL_Obool), tc_HOL_Obool), _106924, c_member(tc_prod(_106922, _106924)))), c_Product__Type_OPair(_106922, _106924)))), _106926) = hAPP(hAPP(c_COMBC(_106922, tc_fun(tc_prod(_106922, _106924), tc_HOL_Obool), tc_fun(_106924, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_106924, tc_fun(tc_fun(tc_prod(_106922, _106924), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_106922, _106924), tc_HOL_Obool), tc_fun(_106924, tc_HOL_Obool)), _106922, c_COMBC(_106924, tc_fun(tc_prod(_106922, _106924), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_106924, tc_prod(_106922, _106924)), tc_fun(_106924, tc_fun(tc_fun(tc_prod(_106922, _106924), tc_HOL_Obool), tc_HOL_Obool)), _106922, c_COMBB(tc_prod(_106922, _106924), tc_fun(tc_fun(tc_prod(_106922, _106924), tc_HOL_Obool), tc_HOL_Obool), _106924, c_member(tc_prod(_106922, _106924)))), c_Product__Type_OPair(_106922, _106924)))), _106928))], (1487 ^ _83121) ^ [_107471, _107473, _107475] : [hAPP(hAPP(c_COMBC(_107471, tc_fun(_107471, tc_HOL_Obool), tc_HOL_Obool), c_member(_107471)), _107473) = hAPP(hAPP(c_COMBC(_107471, tc_fun(_107471, tc_HOL_Obool), tc_HOL_Obool), c_member(_107471)), _107475), -(_107473 = _107475)], (1493 ^ _83121) ^ [_107606, _107608, _107610] : [_107608 = _107610, -(hAPP(hAPP(c_COMBC(_107606, tc_fun(_107606, tc_HOL_Obool), tc_HOL_Obool), c_member(_107606)), _107608) = hAPP(hAPP(c_COMBC(_107606, tc_fun(_107606, tc_HOL_Obool), tc_HOL_Obool), c_member(_107606)), _107610))], (1517 ^ _83121) ^ [_108036, _108038, _108040, _108042] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108036), _108038)), c_Arrow__Order__Mirabelle_Omktop(_108040, _108042)))), -(_108036 = _108042), 1524 ^ _83121 : [(1525 ^ _83121) ^ [] : [-(_108038 = _108042)], (1527 ^ _83121) ^ [] : [-(_108036 = _108038)]], 1528 ^ _83121 : [(1529 ^ _83121) ^ [] : [_108038 = _108042], (1531 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108036), _108038)), _108040))]]], (1499 ^ _83121) ^ [_107768, _107770, _107772, _107774] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _107768), _107770)), c_Arrow__Order__Mirabelle_Omktop(_107772, _107774))), 1502 ^ _83121 : [(1503 ^ _83121) ^ [] : [_107768 = _107774], (1505 ^ _83121) ^ [] : [_107770 = _107774, _107768 = _107770], (1511 ^ _83121) ^ [] : [-(_107770 = _107774), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _107768), _107770)), _107772)))]]], (1553 ^ _83121) ^ [_108642, _108644, _108646, _108648] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108642), _108644)), c_Arrow__Order__Mirabelle_Omkbot(_108646, _108648)))), -(_108644 = _108648), 1560 ^ _83121 : [(1561 ^ _83121) ^ [] : [-(_108642 = _108648)], (1563 ^ _83121) ^ [] : [-(_108642 = _108644)]], 1564 ^ _83121 : [(1565 ^ _83121) ^ [] : [_108642 = _108648], (1567 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108642), _108644)), _108646))]]], (1535 ^ _83121) ^ [_108374, _108376, _108378, _108380] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108374), _108376)), c_Arrow__Order__Mirabelle_Omkbot(_108378, _108380))), 1538 ^ _83121 : [(1539 ^ _83121) ^ [] : [_108376 = _108380], (1541 ^ _83121) ^ [] : [_108374 = _108380, _108374 = _108376], (1547 ^ _83121) ^ [] : [-(_108374 = _108380), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _108374), _108376)), _108378)))]]], (1571 ^ _83121) ^ [_108959, _108961, _108963, _108965, _108967, _108969] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_108959, _108961)), _108963), c_FuncSet_OPi(_108959, _108961, _108965, _108967))), -(hBOOL(hAPP(hAPP(c_member(_108961), hAPP(_108963, _108969)), hAPP(_108967, _108969)))), hBOOL(hAPP(hAPP(c_member(_108959), _108969), _108965))], (1581 ^ _83121) ^ [_109178, _109180] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _109178), c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), c_Arrow__Order__Mirabelle_OProf, c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_OLin)))), 1587 ^ _83121 : [(1588 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), 1586 ^ [_109178, _109180]), c_Arrow__Order__Mirabelle_OProf)))], (1592 ^ _83121) ^ [] : [1589 ^ [_109178, _109180] = 1590 ^ [_109178, _109180]], (1594 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1589 ^ [_109178, _109180]), 1590 ^ [_109178, _109180])), hAPP(1586 ^ [_109178, _109180], _109180))))], (1596 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1589 ^ [_109178, _109180]), 1590 ^ [_109178, _109180])), hAPP(_109178, 1586 ^ [_109178, _109180])))]], -(c_Arrow__Order__Mirabelle_Odictator(_109178, _109180))], (1600 ^ _83121) ^ [_109708, _109710, _109712, _109714, _109716, _109718] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_109708, _109710)), _109712), c_FuncSet_OPi(_109708, _109710, _109714, c_COMBK(tc_fun(_109710, tc_HOL_Obool), _109708, _109716)))), hBOOL(hAPP(hAPP(c_member(_109708), _109718), _109714)), -(hBOOL(hAPP(hAPP(c_member(_109710), hAPP(_109712, _109718)), _109716)))], (1610 ^ _83121) ^ [_109931, _109933, _109935, _109937, _109939, _109941] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_109931, _109933)), _109935), c_FuncSet_OPi(_109931, _109933, _109937, _109939))), hBOOL(hAPP(hAPP(c_member(_109931), _109941), _109937)), -(hBOOL(hAPP(hAPP(c_member(_109933), hAPP(_109935, _109941)), hAPP(_109939, _109941))))], (1620 ^ _83121) ^ [_110170, _110172, _110174, _110176, _110178] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_110170, _110172)), hAPP(hAPP(c_Product__Type_OPair(_110170, _110172), _110174), _110176)), c_Relation_Oconverse(_110172, _110170, _110178))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_110172, _110170)), hAPP(hAPP(c_Product__Type_OPair(_110172, _110170), _110176), _110174)), _110178)))], (1626 ^ _83121) ^ [_110333, _110335, _110337, _110339, _110341] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_110335, _110333)), hAPP(hAPP(c_Product__Type_OPair(_110335, _110333), _110339), _110337)), _110341)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_110333, _110335)), hAPP(hAPP(c_Product__Type_OPair(_110333, _110335), _110337), _110339)), c_Relation_Oconverse(_110335, _110333, _110341))))], (1632 ^ _83121) ^ [_110502, _110504, _110506, _110508, _110510] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_110502, _110504)), hAPP(hAPP(c_Product__Type_OPair(_110502, _110504), _110506), _110508)), _110510)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_110504, _110502)), hAPP(hAPP(c_Product__Type_OPair(_110504, _110502), _110508), _110506)), c_Relation_Oconverse(_110502, _110504, _110510))))], (1638 ^ _83121) ^ [_110669, _110671, _110673, _110675, _110677] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_110669, _110671)), hAPP(hAPP(c_Product__Type_OPair(_110669, _110671), _110673), _110675)), c_Relation_Oconverse(_110671, _110669, _110677))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_110671, _110669)), hAPP(hAPP(c_Product__Type_OPair(_110671, _110669), _110675), _110673)), _110677)))], (1644 ^ _83121) ^ [_110836, _110838] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(_110836, _110836)), c_COMBI(_110836)), c_FuncSet_OPi(_110836, _110836, _110838, c_COMBK(tc_fun(_110836, tc_HOL_Obool), _110836, _110838)))))], (1646 ^ _83121) ^ [_110897] : [c_Arrow__Order__Mirabelle_OIIA(_110897), 1649 ^ _83121 : [(1650 ^ _83121) ^ [_111066] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _111066), c_Arrow__Order__Mirabelle_OProf)), 1653 ^ _83121 : [(1654 ^ _83121) ^ [_111233] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _111233), c_Arrow__Order__Mirabelle_OProf)), 1657 ^ _83121 : [(1658 ^ _83121) ^ [_111386, _111388] : [1662 ^ _83121 : [(1663 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111388), _111386)), hAPP(_111066, 1659 ^ [_110897, _111066, _111233, _111386, _111388]))))], (1665 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111388), _111386)), hAPP(_111233, 1659 ^ [_110897, _111066, _111233, _111386, _111388])))]], 1666 ^ _83121 : [(1667 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111388), _111386)), hAPP(_111233, 1659 ^ [_110897, _111066, _111233, _111386, _111388]))))], (1669 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111388), _111386)), hAPP(_111066, 1659 ^ [_110897, _111066, _111233, _111386, _111388])))]], 1670 ^ _83121 : [(1671 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111388), _111386)), hAPP(_110897, _111066))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111388), _111386)), hAPP(_110897, _111233))))], (1677 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111388), _111386)), hAPP(_110897, _111233))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _111388), _111386)), hAPP(_110897, _111066))))]]]]]]]]], (1683 ^ _83121) ^ [_112012] : [-(c_Arrow__Order__Mirabelle_OIIA(_112012)), 1685 ^ _83121 : [(1686 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), 1684 ^ [_112012]), c_Arrow__Order__Mirabelle_OProf)))], (1689 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), 1687 ^ [_112012]), c_Arrow__Order__Mirabelle_OProf)))], (1705 ^ _83121) ^ [] : [1706 ^ _83121 : [(1707 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1690 ^ [_112012]), 1691 ^ [_112012])), hAPP(_112012, 1684 ^ [_112012]))))], (1709 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1690 ^ [_112012]), 1691 ^ [_112012])), hAPP(_112012, 1687 ^ [_112012])))]], 1710 ^ _83121 : [(1711 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1690 ^ [_112012]), 1691 ^ [_112012])), hAPP(_112012, 1687 ^ [_112012]))))], (1713 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1690 ^ [_112012]), 1691 ^ [_112012])), hAPP(_112012, 1684 ^ [_112012])))]]], (1693 ^ _83121) ^ [_112584] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1690 ^ [_112012]), 1691 ^ [_112012])), hAPP(1684 ^ [_112012], _112584))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1690 ^ [_112012]), 1691 ^ [_112012])), hAPP(1687 ^ [_112012], _112584))))], (1699 ^ _83121) ^ [_112773] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1690 ^ [_112012]), 1691 ^ [_112012])), hAPP(1687 ^ [_112012], _112773))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1690 ^ [_112012]), 1691 ^ [_112012])), hAPP(1684 ^ [_112012], _112773))))]]], (1732 ^ _83121) ^ [_113664] : [1734 ^ _83121 : [(1735 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), 1733 ^ [_113664]), c_Arrow__Order__Mirabelle_OProf)))], (1739 ^ _83121) ^ [_113882] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1736 ^ [_113664]), 1737 ^ [_113664])), hAPP(1733 ^ [_113664], _113882))))], (1741 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), 1736 ^ [_113664]), 1737 ^ [_113664])), hAPP(_113664, 1733 ^ [_113664])))]], -(c_Arrow__Order__Mirabelle_Ounanimity(_113664))], (1717 ^ _83121) ^ [_113253] : [c_Arrow__Order__Mirabelle_Ounanimity(_113253), 1720 ^ _83121 : [(1721 ^ _83121) ^ [_113366] : [hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _113366), c_Arrow__Order__Mirabelle_OProf)), 1724 ^ _83121 : [(1725 ^ _83121) ^ [_113477, _113479] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _113479), _113477)), hAPP(_113366, 1726 ^ [_113253, _113366, _113477, _113479]))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _113479), _113477)), hAPP(_113253, _113366))))]]]]], (1745 ^ _83121) ^ [_114016, _114018, _114020] : [-(c_Relation_Oconverse(_114016, _114018, c_Relation_Oconverse(_114018, _114016, _114020)) = _114020)], (1747 ^ _83121) ^ [_114066, _114068] : [c_Relation_Oirrefl(_114066, _114068), 1750 ^ _83121 : [(1751 ^ _83121) ^ [_114148] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_114066, _114066)), hAPP(hAPP(c_Product__Type_OPair(_114066, _114066), _114148), _114148)), _114068))]]], (1753 ^ _83121) ^ [_114188, _114190] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_114188, _114188)), hAPP(hAPP(c_Product__Type_OPair(_114188, _114188), 1754 ^ [_114188, _114190]), 1754 ^ [_114188, _114190])), _114190))), -(c_Relation_Oirrefl(_114188, _114190))], (1760 ^ _83121) ^ [_114259, _114261, _114263, _114265, _114267] : [1762 ^ _83121 : [(1763 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_114259), 1761 ^ [_114259, _114261, _114263, _114265, _114267]), _114261)))], (1765 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_114263), hAPP(_114265, 1761 ^ [_114259, _114261, _114263, _114265, _114267])), hAPP(_114267, 1761 ^ [_114259, _114261, _114263, _114265, _114267])))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_114259, _114263)), _114265), c_FuncSet_OPi(_114259, _114263, _114261, _114267))))], (1769 ^ _83121) ^ [_114543, _114545, _114547, _114549, _114551] : [c_FunDef_Oin__rel(_114543, _114545, _114547, _114549, _114551), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_114543, _114545)), hAPP(hAPP(c_Product__Type_OPair(_114543, _114545), _114549), _114551)), _114547)))], (1775 ^ _83121) ^ [_114666, _114668, _114670, _114672, _114674] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_114666, _114668)), hAPP(hAPP(c_Product__Type_OPair(_114666, _114668), _114672), _114674)), _114670)), -(c_FunDef_Oin__rel(_114666, _114668, _114670, _114672, _114674))], (1781 ^ _83121) ^ [_114795, _114797, _114799, _114801] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_114795, _114797)), _114799), c_Relation_Oconverse(_114797, _114795, _114801))), 1786 ^ _83121 : [(1787 ^ _83121) ^ [] : [-(_114799 = hAPP(hAPP(c_Product__Type_OPair(_114795, _114797), 1785 ^ [_114795, _114797, _114799, _114801]), 1784 ^ [_114795, _114797, _114799, _114801]))], (1789 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_114797, _114795)), hAPP(hAPP(c_Product__Type_OPair(_114797, _114795), 1784 ^ [_114795, _114797, _114799, _114801]), 1785 ^ [_114795, _114797, _114799, _114801])), _114801)))]]], (1791 ^ _83121) ^ [_115044, _115046, _115048, _115050, _115052, _115054, _115056] : [hBOOL(hAPP(_115044, _115046)), hBOOL(hAPP(hAPP(c_member(tc_prod(_115048, _115048)), hAPP(hAPP(c_Product__Type_OPair(_115048, _115048), _115050), _115052)), hAPP(_115054, _115046))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_115056, _115048), tc_prod(_115056, _115048))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_115056, _115048), tc_prod(_115056, _115048)), hAPP(hAPP(c_Product__Type_OPair(_115056, _115048), _115046), _115050)), hAPP(hAPP(c_Product__Type_OPair(_115056, _115048), _115046), _115052))), c_Recdef_Osame__fst(_115056, _115048, _115044, _115054))))], (1801 ^ _83121) ^ [_115349, _115351, _115353, _115355, _115357] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_115349, _115351)), hAPP(hAPP(c_Product__Type_OPair(_115349, _115351), _115353), _115355)), _115357)), -(hBOOL(hAPP(hAPP(c_member(_115351), _115355), c_Relation_ORange(_115349, _115351, _115357))))], (1807 ^ _83121) ^ [_115488, _115490] : [-(_115488 = _115490), 1811 ^ _83121 : [(1812 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), 1810 ^ [_115488, _115490]), c_Arrow__Order__Mirabelle_OLin)))], (1814 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _115488), _115490)), 1810 ^ [_115488, _115490])))]]], (1816 ^ _83121) ^ [_115591, _115593, _115595, _115597] : [_115591 = _115593, hBOOL(hAPP(hAPP(c_member(_115595), _115591), _115597)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_115595, _115595)), hAPP(hAPP(c_Product__Type_OPair(_115595, _115595), _115591), _115593)), c_Relation_OId__on(_115595, _115597))))], (1826 ^ _83121) ^ [_115807, _115809, _115811, _115813] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_115807, _115807)), hAPP(hAPP(c_Product__Type_OPair(_115807, _115807), _115809), _115811)), c_Relation_OId__on(_115807, _115813))), 1829 ^ _83121 : [(1830 ^ _83121) ^ [] : [-(_115809 = _115811)], (1832 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_115807), _115809), _115813)))]]], (1834 ^ _83121) ^ [_115968, _115970, _115972, _115974] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_115968, _115968)), hAPP(hAPP(c_Product__Type_OPair(_115968, _115968), _115970), _115972)), c_Relation_OId__on(_115968, _115974)))), _115970 = _115972, hBOOL(hAPP(hAPP(c_member(_115968), _115970), _115974))], (1844 ^ _83121) ^ [_116165, _116167] : [-(c_Relation_ORange(_116165, _116165, c_Relation_OId__on(_116165, _116167)) = _116167)], (1846 ^ _83121) ^ [_116197, _116199] : [-(c_Relation_Oconverse(_116197, _116197, c_Relation_OId__on(_116197, _116199)) = c_Relation_OId__on(_116197, _116199))], (1848 ^ _83121) ^ [_116253, _116255, _116257, _116259] : [hBOOL(hAPP(hAPP(c_member(_116253), _116255), c_Relation_ORange(_116257, _116253, _116259))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_116257, _116253)), hAPP(hAPP(c_Product__Type_OPair(_116257, _116253), 1851 ^ [_116253, _116255, _116257, _116259]), _116255)), _116259)))], (1855 ^ _83121) ^ [_116406, _116408, _116410, _116412] : [1856 ^ _83121 : [(1857 ^ _83121) ^ [_116479] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_116410, _116406)), hAPP(hAPP(c_Product__Type_OPair(_116410, _116406), _116479), _116408)), _116412))]], -(hBOOL(hAPP(hAPP(c_member(_116406), _116408), c_Relation_ORange(_116410, _116406, _116412))))], (1861 ^ _83121) ^ [_116583, _116585, _116587, _116589] : [c_Predicate_ORangeP(_116583, _116585, hAPP(hAPP(c_COMBC(_116583, tc_fun(tc_prod(_116583, _116585), tc_HOL_Obool), tc_fun(_116585, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_116585, tc_fun(tc_fun(tc_prod(_116583, _116585), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_116583, _116585), tc_HOL_Obool), tc_fun(_116585, tc_HOL_Obool)), _116583, c_COMBC(_116585, tc_fun(tc_prod(_116583, _116585), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_116585, tc_prod(_116583, _116585)), tc_fun(_116585, tc_fun(tc_fun(tc_prod(_116583, _116585), tc_HOL_Obool), tc_HOL_Obool)), _116583, c_COMBB(tc_prod(_116583, _116585), tc_fun(tc_fun(tc_prod(_116583, _116585), tc_HOL_Obool), tc_HOL_Obool), _116585, c_member(tc_prod(_116583, _116585)))), c_Product__Type_OPair(_116583, _116585)))), _116587), _116589), -(hBOOL(hAPP(hAPP(c_member(_116585), _116589), c_Relation_ORange(_116583, _116585, _116587))))], (1867 ^ _83121) ^ [_116910, _116912, _116914, _116916] : [hBOOL(hAPP(hAPP(c_member(_116912), _116916), c_Relation_ORange(_116910, _116912, _116914))), -(c_Predicate_ORangeP(_116910, _116912, hAPP(hAPP(c_COMBC(_116910, tc_fun(tc_prod(_116910, _116912), tc_HOL_Obool), tc_fun(_116912, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_116912, tc_fun(tc_fun(tc_prod(_116910, _116912), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_116910, _116912), tc_HOL_Obool), tc_fun(_116912, tc_HOL_Obool)), _116910, c_COMBC(_116912, tc_fun(tc_prod(_116910, _116912), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_116912, tc_prod(_116910, _116912)), tc_fun(_116912, tc_fun(tc_fun(tc_prod(_116910, _116912), tc_HOL_Obool), tc_HOL_Obool)), _116910, c_COMBB(tc_prod(_116910, _116912), tc_fun(tc_fun(tc_prod(_116910, _116912), tc_HOL_Obool), tc_HOL_Obool), _116912, c_member(tc_prod(_116910, _116912)))), c_Product__Type_OPair(_116910, _116912)))), _116914), _116916))], (1873 ^ _83121) ^ [_117276, _117278, _117280, _117282, _117284, _117286, _117288, _117290] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_117276, _117278), tc_prod(_117276, _117278))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_117276, _117278), tc_prod(_117276, _117278)), hAPP(hAPP(c_Product__Type_OPair(_117276, _117278), _117280), _117282)), hAPP(hAPP(c_Product__Type_OPair(_117276, _117278), _117284), _117286))), c_Wellfounded_Olex__prod(_117276, _117278, _117288, _117290))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_117276, _117276)), hAPP(hAPP(c_Product__Type_OPair(_117276, _117276), _117280), _117284)), _117288))), 1880 ^ _83121 : [(1881 ^ _83121) ^ [] : [-(_117280 = _117284)], (1883 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_117278, _117278)), hAPP(hAPP(c_Product__Type_OPair(_117278, _117278), _117282), _117286)), _117290)))]]], (1885 ^ _83121) ^ [_117601, _117603, _117605, _117607, _117609, _117611, _117613, _117615] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_117601, _117603), tc_prod(_117601, _117603))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_117601, _117603), tc_prod(_117601, _117603)), hAPP(hAPP(c_Product__Type_OPair(_117601, _117603), _117605), _117607)), hAPP(hAPP(c_Product__Type_OPair(_117601, _117603), _117609), _117611))), c_Wellfounded_Olex__prod(_117601, _117603, _117613, _117615)))), 1886 ^ _83121 : [(1887 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_117601, _117601)), hAPP(hAPP(c_Product__Type_OPair(_117601, _117601), _117605), _117609)), _117613))], (1889 ^ _83121) ^ [] : [_117605 = _117609, hBOOL(hAPP(hAPP(c_member(tc_prod(_117603, _117603)), hAPP(hAPP(c_Product__Type_OPair(_117603, _117603), _117607), _117611)), _117615))]]], (1897 ^ _83121) ^ [_117976, _117978, _117980] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_117976, _117976)), _117978), c_Relation_OId__on(_117976, _117980))), 1901 ^ _83121 : [(1902 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_117976), 1900 ^ [_117976, _117978, _117980]), _117980)))], (1904 ^ _83121) ^ [] : [-(_117978 = hAPP(hAPP(c_Product__Type_OPair(_117976, _117976), 1900 ^ [_117976, _117978, _117980]), 1900 ^ [_117976, _117978, _117980]))]]], (1906 ^ _83121) ^ [_118175, _118177, _118179, _118181] : [hBOOL(hAPP(hAPP(c_member(_118175), _118177), c_Relation_ORange(_118179, _118175, _118181))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_118179, _118175)), hAPP(hAPP(c_Product__Type_OPair(_118179, _118175), 1909 ^ [_118175, _118177, _118179, _118181]), _118177)), _118181)))], (1913 ^ _83121) ^ [_118336, _118338, _118340, _118342, _118344] : [1915 ^ _83121 : [(1916 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_118336), 1914 ^ [_118336, _118338, _118340, _118342, _118344]), _118338)))], (1918 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_118340), hAPP(_118342, 1914 ^ [_118336, _118338, _118340, _118342, _118344])), _118344))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_118336, _118340)), _118342), c_FuncSet_OPi(_118336, _118340, _118338, c_COMBK(tc_fun(_118340, tc_HOL_Obool), _118336, _118344)))))], (1922 ^ _83121) ^ [_118588, _118590, _118592, _118594, _118596] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_118588, _118590)), hAPP(hAPP(c_Product__Type_OPair(_118588, _118590), _118592), _118594)), _118596)), -(hBOOL(hAPP(hAPP(c_member(_118588), _118592), c_Relation_ODomain(_118588, _118590, _118596))))], (1928 ^ _83121) ^ [_118755, _118757, _118759, _118761, _118763] : [hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_118755, _118757, hAPP(hAPP(c_COMBC(_118755, tc_fun(tc_prod(_118755, _118757), tc_HOL_Obool), tc_fun(_118757, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_118757, tc_fun(tc_fun(tc_prod(_118755, _118757), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_118755, _118757), tc_HOL_Obool), tc_fun(_118757, tc_HOL_Obool)), _118755, c_COMBC(_118757, tc_fun(tc_prod(_118755, _118757), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_118757, tc_prod(_118755, _118757)), tc_fun(_118757, tc_fun(tc_fun(tc_prod(_118755, _118757), tc_HOL_Obool), tc_HOL_Obool)), _118755, c_COMBB(tc_prod(_118755, _118757), tc_fun(tc_fun(tc_prod(_118755, _118757), tc_HOL_Obool), tc_HOL_Obool), _118757, c_member(tc_prod(_118755, _118757)))), c_Product__Type_OPair(_118755, _118757)))), _118759)), _118761), _118763)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_118757, _118755)), hAPP(hAPP(c_Product__Type_OPair(_118757, _118755), _118761), _118763)), c_Relation_Oconverse(_118755, _118757, _118759))))], (1934 ^ _83121) ^ [_119122, _119124, _119126, _119128, _119130] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_119124, _119122)), hAPP(hAPP(c_Product__Type_OPair(_119124, _119122), _119128), _119130)), c_Relation_Oconverse(_119122, _119124, _119126))), -(hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_119122, _119124, hAPP(hAPP(c_COMBC(_119122, tc_fun(tc_prod(_119122, _119124), tc_HOL_Obool), tc_fun(_119124, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_119124, tc_fun(tc_fun(tc_prod(_119122, _119124), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_119122, _119124), tc_HOL_Obool), tc_fun(_119124, tc_HOL_Obool)), _119122, c_COMBC(_119124, tc_fun(tc_prod(_119122, _119124), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_119124, tc_prod(_119122, _119124)), tc_fun(_119124, tc_fun(tc_fun(tc_prod(_119122, _119124), tc_HOL_Obool), tc_HOL_Obool)), _119122, c_COMBB(tc_prod(_119122, _119124), tc_fun(tc_fun(tc_prod(_119122, _119124), tc_HOL_Obool), tc_HOL_Obool), _119124, c_member(tc_prod(_119122, _119124)))), c_Product__Type_OPair(_119122, _119124)))), _119126)), _119128), _119130)))], (1940 ^ _83121) ^ [_119510, _119512] : [c_Nitpick_Orefl_H(_119510, _119512), 1943 ^ _83121 : [(1944 ^ _83121) ^ [_119588] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_119510, _119510)), hAPP(hAPP(c_Product__Type_OPair(_119510, _119510), _119588), _119588)), _119512)))]]], (1946 ^ _83121) ^ [_119630, _119632] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_119630, _119630)), hAPP(hAPP(c_Product__Type_OPair(_119630, _119630), 1947 ^ [_119630, _119632]), 1947 ^ [_119630, _119632])), _119632)), -(c_Nitpick_Orefl_H(_119630, _119632))], (1953 ^ _83121) ^ [_119797, _119799, _119801, _119803, _119805] : [1955 ^ _83121 : [(1956 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_119797), 1954 ^ [_119797, _119799, _119801, _119803, _119805]), _119799)))], (1958 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_119801), hAPP(_119803, 1954 ^ [_119797, _119799, _119801, _119803, _119805])), hAPP(_119805, 1954 ^ [_119797, _119799, _119801, _119803, _119805])))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_119797, _119801)), _119803), c_FuncSet_OPi(_119797, _119801, _119799, _119805))))], (1962 ^ _83121) ^ [_120057, _120059, _120061, _120063, _120065] : [hBOOL(hAPP(hAPP(_120057, _120059), _120061)), -(c_Predicate_ORangeP(_120063, _120065, _120057, _120061))], (1968 ^ _83121) ^ [_120175, _120177, _120179, _120181] : [c_Predicate_ORangeP(_120175, _120177, _120179, _120181), -(hBOOL(hAPP(hAPP(_120179, 1971 ^ [_120175, _120177, _120179, _120181]), _120181)))], (1975 ^ _83121) ^ [_120282, _120284, _120286, _120288] : [1976 ^ _83121 : [(1977 ^ _83121) ^ [_120332] : [hBOOL(hAPP(hAPP(_120286, _120332), _120288))]], -(c_Predicate_ORangeP(_120282, _120284, _120286, _120288))], (1981 ^ _83121) ^ [_120392, _120394, _120396, _120398, _120400] : [hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_120392, _120394, _120396), _120398), _120400)), -(hBOOL(hAPP(hAPP(_120396, _120400), _120398)))], (1987 ^ _83121) ^ [_120503, _120505, _120507, _120509, _120511] : [hBOOL(hAPP(hAPP(_120503, _120505), _120507)), -(hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_120509, _120511, _120503), _120507), _120505)))], (1993 ^ _83121) ^ [_120638, _120640, _120642, _120644, _120646] : [hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_120638, _120640, _120642), _120644), _120646)), -(hBOOL(hAPP(hAPP(_120642, _120646), _120644)))], (1999 ^ _83121) ^ [_120745, _120747, _120749, _120751, _120753] : [hBOOL(hAPP(hAPP(_120749, _120753), _120751)), -(hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_120745, _120747, _120749), _120751), _120753)))], (2005 ^ _83121) ^ [_120882, _120884, _120886, _120888, _120890] : [hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_120882, _120884, _120886), _120888), _120890)), -(hBOOL(hAPP(hAPP(_120886, _120890), _120888)))], (2011 ^ _83121) ^ [_120989, _120991, _120993, _120995, _120997] : [hBOOL(hAPP(hAPP(_120993, _120997), _120995)), -(hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_120989, _120991, _120993), _120995), _120997)))], (2017 ^ _83121) ^ [_121102, _121104, _121106] : [-(c_Predicate_Oconversep(_121102, _121104, c_Predicate_Oconversep(_121104, _121102, _121106)) = _121106)], (2019 ^ _83121) ^ [_121137] : [-(c_Predicate_Oconversep(_121137, _121137, c_fequal) = c_fequal)], (2021 ^ _83121) ^ [_121182, _121184, _121186] : [hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_121182, _121182, hAPP(c_COMBB(tc_fun(_121182, tc_HOL_Obool), tc_fun(_121182, tc_HOL_Obool), _121182, c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _121182, c_fNot)), c_fequal)), _121184), _121186)), _121184 = _121186], (2027 ^ _83121) ^ [_121312, _121314, _121316] : [-(_121314 = _121316), -(hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_121312, _121312, hAPP(c_COMBB(tc_fun(_121312, tc_HOL_Obool), tc_fun(_121312, tc_HOL_Obool), _121312, c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _121312, c_fNot)), c_fequal)), _121314), _121316)))], (2033 ^ _83121) ^ [_121380, _121382] : [-(c_Relation_ODomain(_121380, _121380, c_Relation_OId__on(_121380, _121382)) = _121382)], (2035 ^ _83121) ^ [_121412, _121414, _121416] : [-(c_Relation_ORange(_121412, _121414, _121416) = c_Relation_ODomain(_121414, _121412, c_Relation_Oconverse(_121412, _121414, _121416)))], (2037 ^ _83121) ^ [_121451, _121453, _121455] : [-(c_Relation_ODomain(_121451, _121453, c_Relation_Oconverse(_121453, _121451, _121455)) = c_Relation_ORange(_121453, _121451, _121455))], (2039 ^ _83121) ^ [_121490, _121492, _121494] : [-(c_Relation_ORange(_121490, _121492, c_Relation_Oconverse(_121492, _121490, _121494)) = c_Relation_ODomain(_121492, _121490, _121494))], (2041 ^ _83121) ^ [_121550, _121552, _121554, _121556] : [hBOOL(hAPP(hAPP(c_member(_121550), _121552), c_Relation_ODomain(_121550, _121554, _121556))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_121550, _121554)), hAPP(hAPP(c_Product__Type_OPair(_121550, _121554), _121552), 2044 ^ [_121550, _121552, _121554, _121556])), _121556)))], (2048 ^ _83121) ^ [_121703, _121705, _121707, _121709] : [2049 ^ _83121 : [(2050 ^ _83121) ^ [_121776] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_121703, _121707)), hAPP(hAPP(c_Product__Type_OPair(_121703, _121707), _121705), _121776)), _121709))]], -(hBOOL(hAPP(hAPP(c_member(_121703), _121705), c_Relation_ODomain(_121703, _121707, _121709))))], (2054 ^ _83121) ^ [_121880, _121882, _121884, _121886] : [c_Predicate_ODomainP(_121880, _121882, hAPP(hAPP(c_COMBC(_121880, tc_fun(tc_prod(_121880, _121882), tc_HOL_Obool), tc_fun(_121882, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_121882, tc_fun(tc_fun(tc_prod(_121880, _121882), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_121880, _121882), tc_HOL_Obool), tc_fun(_121882, tc_HOL_Obool)), _121880, c_COMBC(_121882, tc_fun(tc_prod(_121880, _121882), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_121882, tc_prod(_121880, _121882)), tc_fun(_121882, tc_fun(tc_fun(tc_prod(_121880, _121882), tc_HOL_Obool), tc_HOL_Obool)), _121880, c_COMBB(tc_prod(_121880, _121882), tc_fun(tc_fun(tc_prod(_121880, _121882), tc_HOL_Obool), tc_HOL_Obool), _121882, c_member(tc_prod(_121880, _121882)))), c_Product__Type_OPair(_121880, _121882)))), _121884), _121886), -(hBOOL(hAPP(hAPP(c_member(_121880), _121886), c_Relation_ODomain(_121880, _121882, _121884))))], (2060 ^ _83121) ^ [_122207, _122209, _122211, _122213] : [hBOOL(hAPP(hAPP(c_member(_122207), _122213), c_Relation_ODomain(_122207, _122209, _122211))), -(c_Predicate_ODomainP(_122207, _122209, hAPP(hAPP(c_COMBC(_122207, tc_fun(tc_prod(_122207, _122209), tc_HOL_Obool), tc_fun(_122209, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_122209, tc_fun(tc_fun(tc_prod(_122207, _122209), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_122207, _122209), tc_HOL_Obool), tc_fun(_122209, tc_HOL_Obool)), _122207, c_COMBC(_122209, tc_fun(tc_prod(_122207, _122209), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_122209, tc_prod(_122207, _122209)), tc_fun(_122209, tc_fun(tc_fun(tc_prod(_122207, _122209), tc_HOL_Obool), tc_HOL_Obool)), _122207, c_COMBB(tc_prod(_122207, _122209), tc_fun(tc_fun(tc_prod(_122207, _122209), tc_HOL_Obool), tc_HOL_Obool), _122209, c_member(tc_prod(_122207, _122209)))), c_Product__Type_OPair(_122207, _122209)))), _122211), _122213))], (2066 ^ _83121) ^ [_122540, _122542, _122544, _122546] : [hBOOL(hAPP(hAPP(c_member(_122540), _122542), c_Relation_ODomain(_122540, _122544, _122546))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_122540, _122544)), hAPP(hAPP(c_Product__Type_OPair(_122540, _122544), _122542), 2069 ^ [_122540, _122542, _122544, _122546])), _122546)))], (2073 ^ _83121) ^ [_122701, _122703, _122705, _122707, _122709, _122711] : [2075 ^ _83121 : [(2076 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_122701), 2074 ^ [_122701, _122703, _122705, _122707, _122709, _122711]), _122703)))], (2078 ^ _83121) ^ [] : [hAPP(_122705, 2074 ^ [_122701, _122703, _122705, _122707, _122709, _122711]) = hAPP(_122707, 2074 ^ [_122701, _122703, _122705, _122707, _122709, _122711])]], 2079 ^ _83121 : [(2080 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_122701, _122709)), _122705), c_FuncSet_OPi(_122701, _122709, _122703, _122711))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_122701, _122709)), _122707), c_FuncSet_OPi(_122701, _122709, _122703, _122711))))], (2086 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_122701, _122709)), _122707), c_FuncSet_OPi(_122701, _122709, _122703, _122711))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_122701, _122709)), _122705), c_FuncSet_OPi(_122701, _122709, _122703, _122711))))]]], (2092 ^ _83121) ^ [_123156, _123158, _123160, _123162, _123164, _123166, _123168, _123170, _123172, _123174, _123176] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_123156, _123158)), _123160), c_FuncSet_OPi(_123156, _123158, _123162, c_COMBK(tc_fun(_123158, tc_HOL_Obool), _123156, _123164)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_123158, _123166)), _123168), c_FuncSet_OPi(_123158, _123166, _123164, c_COMBK(tc_fun(_123166, tc_HOL_Obool), _123158, _123170)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_123166, _123172)), _123174), c_FuncSet_OPi(_123166, _123172, _123170, c_COMBK(tc_fun(_123172, tc_HOL_Obool), _123166, _123176)))), -(c_FuncSet_Ocompose(_123156, _123166, _123172, _123162, _123174, c_FuncSet_Ocompose(_123156, _123158, _123166, _123162, _123168, _123160)) = c_FuncSet_Ocompose(_123156, _123158, _123172, _123162, c_FuncSet_Ocompose(_123158, _123166, _123172, _123164, _123174, _123168), _123160))], (2106 ^ _83121) ^ [_123579, _123581, _123583, _123585, _123587, _123589, _123591, _123593] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_123579, _123581)), _123583), c_FuncSet_OPi(_123579, _123581, _123585, c_COMBK(tc_fun(_123581, tc_HOL_Obool), _123579, _123587)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_123581, _123589)), _123591), c_FuncSet_OPi(_123581, _123589, _123587, c_COMBK(tc_fun(_123589, tc_HOL_Obool), _123581, _123593)))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_123579, _123589)), c_FuncSet_Ocompose(_123579, _123581, _123589, _123585, _123591, _123583)), c_FuncSet_OPi(_123579, _123589, _123585, c_COMBK(tc_fun(_123589, tc_HOL_Obool), _123579, _123593)))))], (2116 ^ _83121) ^ [_123878, _123880, _123882, _123884] : [hBOOL(hAPP(hAPP(c_member(_123878), _123880), c_Wellfounded_Oacc(_123878, _123882))), hBOOL(hAPP(hAPP(c_member(tc_prod(_123878, _123878)), hAPP(hAPP(c_Product__Type_OPair(_123878, _123878), _123884), _123880)), _123882)), -(hBOOL(hAPP(hAPP(c_member(_123878), _123884), c_Wellfounded_Oacc(_123878, _123882))))], (2136 ^ _83121) ^ [_124364, _124366, _124368] : [2138 ^ _83121 : [(2139 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_124364, _124364)), hAPP(hAPP(c_Product__Type_OPair(_124364, _124364), 2137 ^ [_124364, _124366, _124368]), _124366)), _124368)))], (2141 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_124364), 2137 ^ [_124364, _124366, _124368]), c_Wellfounded_Oacc(_124364, _124368)))]], -(hBOOL(hAPP(hAPP(c_member(_124364), _124366), c_Wellfounded_Oacc(_124364, _124368))))], (2126 ^ _83121) ^ [_124111, _124113, _124115] : [hBOOL(hAPP(hAPP(c_member(_124111), _124113), c_Wellfounded_Oacc(_124111, _124115))), 2129 ^ _83121 : [(2130 ^ _83121) ^ [_124225] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_124111, _124111)), hAPP(hAPP(c_Product__Type_OPair(_124111, _124111), _124225), _124113)), _124115)), -(hBOOL(hAPP(hAPP(c_member(_124111), _124225), c_Wellfounded_Oacc(_124111, _124115))))]]], (2167 ^ _83121) ^ [_125111, _125113, _125115] : [2169 ^ _83121 : [(2170 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_125111), 2168 ^ [_125111, _125113, _125115]), _125113)))], (2173 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_125111), 2171 ^ [_125111, _125113, _125115]), _125113)))], (2175 ^ _83121) ^ [] : [2168 ^ [_125111, _125113, _125115] = 2171 ^ [_125111, _125113, _125115]], (2177 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_125111, _125111)), hAPP(hAPP(c_Product__Type_OPair(_125111, _125111), 2168 ^ [_125111, _125113, _125115]), 2171 ^ [_125111, _125113, _125115])), _125115))], (2179 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_125111, _125111)), hAPP(hAPP(c_Product__Type_OPair(_125111, _125111), 2171 ^ [_125111, _125113, _125115]), 2168 ^ [_125111, _125113, _125115])), _125115))]], -(c_Relation_Ototal__on(_125111, _125113, _125115))], (2145 ^ _83121) ^ [_124622, _124624, _124626] : [c_Relation_Ototal__on(_124622, _124624, _124626), 2148 ^ _83121 : [(2149 ^ _83121) ^ [_124766] : [hBOOL(hAPP(hAPP(c_member(_124622), _124766), _124624)), 2152 ^ _83121 : [(2153 ^ _83121) ^ [_124906] : [hBOOL(hAPP(hAPP(c_member(_124622), _124906), _124624)), -(_124766 = _124906), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_124622, _124622)), hAPP(hAPP(c_Product__Type_OPair(_124622, _124622), _124766), _124906)), _124626))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_124622, _124622)), hAPP(hAPP(c_Product__Type_OPair(_124622, _124622), _124906), _124766)), _124626)))]]]]], (2183 ^ _83121) ^ [_125720, _125722, _125724, _125726, _125728, _125730] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_125720, _125720)), hAPP(hAPP(c_Product__Type_OPair(_125720, _125720), _125722), _125724)), c_Relation_Oinv__image(_125726, _125720, _125728, _125730))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_125726, _125726)), hAPP(hAPP(c_Product__Type_OPair(_125726, _125726), hAPP(_125730, _125722)), hAPP(_125730, _125724))), _125728)))], (2189 ^ _83121) ^ [_125899, _125901, _125903, _125905, _125907, _125909] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_125905, _125905)), hAPP(hAPP(c_Product__Type_OPair(_125905, _125905), hAPP(_125909, _125901)), hAPP(_125909, _125903))), _125907)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_125899, _125899)), hAPP(hAPP(c_Product__Type_OPair(_125899, _125899), _125901), _125903)), c_Relation_Oinv__image(_125905, _125899, _125907, _125909))))], (2195 ^ _83121) ^ [_126084, _126086, _126088, _126090, _126092] : [hBOOL(hAPP(hAPP(_126084, _126086), _126088)), -(c_Predicate_ODomainP(_126090, _126092, _126084, _126086))], (2201 ^ _83121) ^ [_126181, _126183, _126185, _126187, _126189, _126191, _126193] : [hBOOL(hAPP(hAPP(c_member(_126181), _126183), _126185)), -(hAPP(c_FuncSet_Ocompose(_126181, _126187, _126189, _126185, _126191, _126193), _126183) = hAPP(_126191, hAPP(_126193, _126183)))], (2207 ^ _83121) ^ [_126314, _126316, _126318, _126320] : [-(c_Relation_Oconverse(_126314, _126314, c_Relation_Oinv__image(_126316, _126314, _126318, _126320)) = c_Relation_Oinv__image(_126316, _126314, c_Relation_Oconverse(_126316, _126316, _126318), _126320))], (2209 ^ _83121) ^ [_126379, _126381, _126383] : [c_Relation_Ototal__on(_126379, _126381, c_Relation_Oconverse(_126379, _126379, _126383)), -(c_Relation_Ototal__on(_126379, _126381, _126383))], (2215 ^ _83121) ^ [_126466, _126468, _126470] : [c_Relation_Ototal__on(_126466, _126468, _126470), -(c_Relation_Ototal__on(_126466, _126468, c_Relation_Oconverse(_126466, _126466, _126470)))], (2221 ^ _83121) ^ [_126577, _126579, _126581] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_126577, hAPP(hAPP(c_COMBC(_126577, tc_fun(tc_prod(_126577, _126577), tc_HOL_Obool), tc_fun(_126577, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_126577, tc_fun(tc_fun(tc_prod(_126577, _126577), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_126577, _126577), tc_HOL_Obool), tc_fun(_126577, tc_HOL_Obool)), _126577, c_COMBC(_126577, tc_fun(tc_prod(_126577, _126577), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_126577, tc_prod(_126577, _126577)), tc_fun(_126577, tc_fun(tc_fun(tc_prod(_126577, _126577), tc_HOL_Obool), tc_HOL_Obool)), _126577, c_COMBB(tc_prod(_126577, _126577), tc_fun(tc_fun(tc_prod(_126577, _126577), tc_HOL_Obool), tc_HOL_Obool), _126577, c_member(tc_prod(_126577, _126577)))), c_Product__Type_OPair(_126577, _126577)))), _126579)), _126581)), -(hBOOL(hAPP(hAPP(c_member(_126577), _126581), c_Wellfounded_Oacc(_126577, _126579))))], (2227 ^ _83121) ^ [_126906, _126908, _126910] : [hBOOL(hAPP(hAPP(c_member(_126906), _126910), c_Wellfounded_Oacc(_126906, _126908))), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_126906, hAPP(hAPP(c_COMBC(_126906, tc_fun(tc_prod(_126906, _126906), tc_HOL_Obool), tc_fun(_126906, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_126906, tc_fun(tc_fun(tc_prod(_126906, _126906), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_126906, _126906), tc_HOL_Obool), tc_fun(_126906, tc_HOL_Obool)), _126906, c_COMBC(_126906, tc_fun(tc_prod(_126906, _126906), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_126906, tc_prod(_126906, _126906)), tc_fun(_126906, tc_fun(tc_fun(tc_prod(_126906, _126906), tc_HOL_Obool), tc_HOL_Obool)), _126906, c_COMBB(tc_prod(_126906, _126906), tc_fun(tc_fun(tc_prod(_126906, _126906), tc_HOL_Obool), tc_HOL_Obool), _126906, c_member(tc_prod(_126906, _126906)))), c_Product__Type_OPair(_126906, _126906)))), _126908)), _126910)))], (2233 ^ _83121) ^ [_127241, _127243, _127245] : [2235 ^ _83121 : [(2236 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_127241, _127241)), hAPP(hAPP(c_Product__Type_OPair(_127241, _127241), 2234 ^ [_127241, _127243, _127245]), _127243)), _127245)))], (2238 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_127241), 2234 ^ [_127241, _127243, _127245]), c_Wellfounded_Oacc(_127241, _127245)))]], -(hBOOL(hAPP(hAPP(c_member(_127241), _127243), c_Wellfounded_Oacc(_127241, _127245))))], (2242 ^ _83121) ^ [_127478, _127480, _127482] : [-(hBOOL(hAPP(hAPP(c_member(_127478), _127480), c_Wellfounded_Oacc(_127478, _127482)))), 2246 ^ _83121 : [(2247 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_127478, _127478)), hAPP(hAPP(c_Product__Type_OPair(_127478, _127478), 2245 ^ [_127478, _127480, _127482]), _127480)), _127482)))], (2249 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_127478), 2245 ^ [_127478, _127480, _127482]), c_Wellfounded_Oacc(_127478, _127482)))]]], (2251 ^ _83121) ^ [_127705, _127707, _127709, _127711, _127713, _127715] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(_127705, _127707)), c_FuncSet_Ocompose(_127705, _127709, _127707, _127711, _127713, _127715)), c_FuncSet_Oextensional(_127705, _127707, _127711))))], (2253 ^ _83121) ^ [_127759, _127761, _127763, _127765] : [hBOOL(hAPP(hAPP(c_member(_127759), _127761), c_Wellfounded_Oacc(_127759, _127763))), hBOOL(hAPP(hAPP(c_member(tc_prod(_127759, _127759)), hAPP(hAPP(c_Product__Type_OPair(_127759, _127759), _127765), _127761)), c_Transitive__Closure_Ortrancl(_127759, _127763))), -(hBOOL(hAPP(hAPP(c_member(_127759), _127765), c_Wellfounded_Oacc(_127759, _127763))))], (2263 ^ _83121) ^ [_127980, _127982, _127984, _127986] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_127980, _127980)), hAPP(hAPP(c_Product__Type_OPair(_127980, _127980), _127982), _127984)), c_Transitive__Closure_Ortrancl(_127980, _127986))), hBOOL(hAPP(hAPP(c_member(_127980), _127984), c_Wellfounded_Oacc(_127980, _127986))), -(hBOOL(hAPP(hAPP(c_member(_127980), _127982), c_Wellfounded_Oacc(_127980, _127986))))], (2273 ^ _83121) ^ [_128201, _128203, _128205, _128207] : [c_Relation_Orefl__on(_128201, _128203, _128205), hBOOL(hAPP(hAPP(c_member(_128201), _128207), _128203)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_128201, _128201)), hAPP(hAPP(c_Product__Type_OPair(_128201, _128201), _128207), _128207)), _128205)))], (2283 ^ _83121) ^ [_128392, _128394, _128396, _128398, _128400] : [c_Relation_Orefl__on(_128392, _128394, _128396), hBOOL(hAPP(hAPP(c_member(tc_prod(_128392, _128392)), hAPP(hAPP(c_Product__Type_OPair(_128392, _128392), _128398), _128400)), _128396)), -(hBOOL(hAPP(hAPP(c_member(_128392), _128398), _128394)))], (2293 ^ _83121) ^ [_128587, _128589, _128591, _128593] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_128587, _128589), _128591)), hBOOL(hAPP(hAPP(_128589, _128593), _128591)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_128587, _128589), _128593)))], (2313 ^ _83121) ^ [_128958, _128960, _128962] : [2315 ^ _83121 : [(2316 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(_128960, 2314 ^ [_128958, _128960, _128962]), _128962)))], (2318 ^ _83121) ^ [] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_128958, _128960), 2314 ^ [_128958, _128960, _128962]))]], -(hBOOL(hAPP(c_Wellfounded_Oaccp(_128958, _128960), _128962)))], (2303 ^ _83121) ^ [_128772, _128774, _128776] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_128772, _128774), _128776)), 2306 ^ _83121 : [(2307 ^ _83121) ^ [_128857] : [hBOOL(hAPP(hAPP(_128774, _128857), _128776)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_128772, _128774), _128857)))]]], (2332 ^ _83121) ^ [_129348, _129350, _129352] : [2334 ^ _83121 : [(2335 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(_129350, 2333 ^ [_129348, _129350, _129352]), _129352)))], (2337 ^ _83121) ^ [] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_129348, _129350), 2333 ^ [_129348, _129350, _129352]))]], -(hBOOL(hAPP(c_Wellfounded_Oaccp(_129348, _129350), _129352)))], (2322 ^ _83121) ^ [_129162, _129164, _129166] : [hBOOL(hAPP(c_Wellfounded_Oaccp(_129162, _129164), _129166)), 2325 ^ _83121 : [(2326 ^ _83121) ^ [_129247] : [hBOOL(hAPP(hAPP(_129164, _129247), _129166)), -(hBOOL(hAPP(c_Wellfounded_Oaccp(_129162, _129164), _129247)))]]], (2341 ^ _83121) ^ [_129552, _129554, _129556] : [c_Relation_Orefl__on(_129552, _129554, c_Relation_Oconverse(_129552, _129552, _129556)), -(c_Relation_Orefl__on(_129552, _129554, _129556))], (2347 ^ _83121) ^ [_129639, _129641, _129643] : [c_Relation_Orefl__on(_129639, _129641, _129643), -(c_Relation_Orefl__on(_129639, _129641, c_Relation_Oconverse(_129639, _129639, _129643)))], (2353 ^ _83121) ^ [_129732, _129734] : [-(c_Relation_Orefl__on(_129732, _129734, c_Relation_OId__on(_129732, _129734)))], (2355 ^ _83121) ^ [_129761, _129763, _129765, _129767, _129769] : [c_Relation_Orefl__on(_129761, _129763, _129765), hBOOL(hAPP(hAPP(c_member(tc_prod(_129761, _129761)), hAPP(hAPP(c_Product__Type_OPair(_129761, _129761), _129767), _129769)), _129765)), -(hBOOL(hAPP(hAPP(c_member(_129761), _129769), _129763)))], (2365 ^ _83121) ^ [_129956, _129958, _129960] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_129956, _129956)), hAPP(hAPP(c_Product__Type_OPair(_129956, _129956), _129958), _129958)), c_Transitive__Closure_Ortrancl(_129956, _129960))))], (2367 ^ _83121) ^ [_130005, _130007, _130009] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_130005, _130005)), _130007), _130009)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_130005, _130005)), _130007), c_Transitive__Closure_Ortrancl(_130005, _130009))))], (2373 ^ _83121) ^ [_130129, _130131, _130133, _130135] : [-(hBOOL(hAPP(hAPP(c_member(_130129), _130131), c_Relation_ODomain(_130129, _130129, _130133)))), 2376 ^ _83121 : [(2377 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_130129, _130129)), hAPP(hAPP(c_Product__Type_OPair(_130129, _130129), _130131), _130135)), c_Transitive__Closure_Ortrancl(_130129, _130133))), -(_130131 = _130135)], (2383 ^ _83121) ^ [] : [_130131 = _130135, -(hBOOL(hAPP(hAPP(c_member(tc_prod(_130129, _130129)), hAPP(hAPP(c_Product__Type_OPair(_130129, _130129), _130131), _130135)), c_Transitive__Closure_Ortrancl(_130129, _130133))))]]], (2389 ^ _83121) ^ [_130423, _130425, _130427, _130429] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_130423, _130423)), hAPP(hAPP(c_Product__Type_OPair(_130423, _130423), _130425), _130427)), c_Transitive__Closure_Ortrancl(_130423, c_Relation_Oconverse(_130423, _130423, _130429)))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_130423, _130423)), hAPP(hAPP(c_Product__Type_OPair(_130423, _130423), _130427), _130425)), c_Transitive__Closure_Ortrancl(_130423, _130429))))], (2395 ^ _83121) ^ [_130600, _130602, _130604, _130606] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_130600, _130600)), hAPP(hAPP(c_Product__Type_OPair(_130600, _130600), _130602), _130604)), c_Transitive__Closure_Ortrancl(_130600, _130606))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_130600, _130600)), hAPP(hAPP(c_Product__Type_OPair(_130600, _130600), _130604), _130602)), c_Transitive__Closure_Ortrancl(_130600, c_Relation_Oconverse(_130600, _130600, _130606)))))], (2401 ^ _83121) ^ [_130777, _130779, _130781, _130783, _130785] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_130777, _130777)), hAPP(hAPP(c_Product__Type_OPair(_130777, _130777), _130779), _130781)), c_Transitive__Closure_Ortrancl(_130777, _130783))), hBOOL(hAPP(hAPP(c_member(tc_prod(_130777, _130777)), hAPP(hAPP(c_Product__Type_OPair(_130777, _130777), _130781), _130785)), c_Transitive__Closure_Ortrancl(_130777, _130783))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_130777, _130777)), hAPP(hAPP(c_Product__Type_OPair(_130777, _130777), _130779), _130785)), c_Transitive__Closure_Ortrancl(_130777, _130783))))], (2411 ^ _83121) ^ [_131050, _131052, _131054, _131056, _131058] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_131050, _131050)), hAPP(hAPP(c_Product__Type_OPair(_131050, _131050), _131052), _131054)), c_Transitive__Closure_Ortrancl(_131050, _131056))), hBOOL(hAPP(hAPP(c_member(tc_prod(_131050, _131050)), hAPP(hAPP(c_Product__Type_OPair(_131050, _131050), _131054), _131058)), _131056)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_131050, _131050)), hAPP(hAPP(c_Product__Type_OPair(_131050, _131050), _131052), _131058)), c_Transitive__Closure_Ortrancl(_131050, _131056))))], (2421 ^ _83121) ^ [_131317, _131319] : [-(c_Transitive__Closure_Ortrancl(_131317, c_Transitive__Closure_Ortrancl(_131317, _131319)) = c_Transitive__Closure_Ortrancl(_131317, _131319))], (2423 ^ _83121) ^ [_131351, _131353] : [-(c_Transitive__Closure_Ortrancl(_131351, c_Relation_Oconverse(_131351, _131351, _131353)) = c_Relation_Oconverse(_131351, _131351, c_Transitive__Closure_Ortrancl(_131351, _131353)))], (2425 ^ _83121) ^ [_131390, _131392, _131394, _131396, _131398] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_131390, _131390)), hAPP(hAPP(c_Product__Type_OPair(_131390, _131390), _131392), _131394)), _131396)), hBOOL(hAPP(hAPP(c_member(tc_prod(_131390, _131390)), hAPP(hAPP(c_Product__Type_OPair(_131390, _131390), _131394), _131398)), c_Transitive__Closure_Ortrancl(_131390, _131396))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_131390, _131390)), hAPP(hAPP(c_Product__Type_OPair(_131390, _131390), _131392), _131398)), c_Transitive__Closure_Ortrancl(_131390, _131396))))], (2435 ^ _83121) ^ [_131657, _131659, _131661, _131663, _131665] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_131657, _131659)), _131661), c_FuncSet_OPi(_131657, _131659, _131663, c_COMBK(tc_fun(_131659, tc_HOL_Obool), _131657, _131665)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_131657, _131659)), _131661), c_FuncSet_Oextensional(_131657, _131659, _131663))), -(c_FuncSet_Ocompose(_131657, _131657, _131659, _131663, _131661, c_FuncSet_Orestrict(_131657, _131657, c_COMBI(_131657), _131663)) = _131661)], (2445 ^ _83121) ^ [_131898, _131900, _131902, _131904, _131906] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_131898, _131900)), _131902), c_FuncSet_OPi(_131898, _131900, _131904, c_COMBK(tc_fun(_131900, tc_HOL_Obool), _131898, _131906)))), hBOOL(hAPP(hAPP(c_member(tc_fun(_131898, _131900)), _131902), c_FuncSet_Oextensional(_131898, _131900, _131904))), -(c_FuncSet_Ocompose(_131898, _131900, _131900, _131904, c_FuncSet_Orestrict(_131900, _131900, c_COMBI(_131900), _131906), _131902) = _131902)], (2455 ^ _83121) ^ [_132139, _132141, _132143, _132145, _132147] : [c_Relation_Osingle__valued(_132139, _132139, _132141), hBOOL(hAPP(hAPP(c_member(tc_prod(_132139, _132139)), hAPP(hAPP(c_Product__Type_OPair(_132139, _132139), _132143), _132145)), c_Transitive__Closure_Ortrancl(_132139, _132141))), hBOOL(hAPP(hAPP(c_member(tc_prod(_132139, _132139)), hAPP(hAPP(c_Product__Type_OPair(_132139, _132139), _132143), _132147)), c_Transitive__Closure_Ortrancl(_132139, _132141))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_132139, _132139)), hAPP(hAPP(c_Product__Type_OPair(_132139, _132139), _132145), _132147)), c_Transitive__Closure_Ortrancl(_132139, _132141)))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_132139, _132139)), hAPP(hAPP(c_Product__Type_OPair(_132139, _132139), _132147), _132145)), c_Transitive__Closure_Ortrancl(_132139, _132141))))], (2473 ^ _83121) ^ [_132529, _132531, _132533, _132535, _132537, _132539, _132541, _132543] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_132529, _132531), tc_prod(_132529, _132531))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_132529, _132531), tc_prod(_132529, _132531)), hAPP(hAPP(c_Product__Type_OPair(_132529, _132531), _132533), _132535)), hAPP(hAPP(c_Product__Type_OPair(_132529, _132531), _132537), _132539))), c_Transitive__Closure_Ortrancl(tc_prod(_132529, _132531), _132541))), hBOOL(hAPP(hAPP(_132543, _132533), _132535)), 2484 ^ _83121 : [(2485 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_132529, _132531), tc_prod(_132529, _132531))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_132529, _132531), tc_prod(_132529, _132531)), hAPP(hAPP(c_Product__Type_OPair(_132529, _132531), _132533), _132535)), hAPP(hAPP(c_Product__Type_OPair(_132529, _132531), 2482 ^ [_132529, _132531, _132533, _132535, _132537, _132539, _132541, _132543]), 2483 ^ [_132529, _132531, _132533, _132535, _132537, _132539, _132541, _132543]))), c_Transitive__Closure_Ortrancl(tc_prod(_132529, _132531), _132541))))], (2489 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_132529, _132531), tc_prod(_132529, _132531))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_132529, _132531), tc_prod(_132529, _132531)), hAPP(hAPP(c_Product__Type_OPair(_132529, _132531), 2482 ^ [_132529, _132531, _132533, _132535, _132537, _132539, _132541, _132543]), 2483 ^ [_132529, _132531, _132533, _132535, _132537, _132539, _132541, _132543])), hAPP(hAPP(c_Product__Type_OPair(_132529, _132531), 2486 ^ [_132529, _132531, _132533, _132535, _132537, _132539, _132541, _132543]), 2487 ^ [_132529, _132531, _132533, _132535, _132537, _132539, _132541, _132543]))), _132541)))], (2491 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(_132543, 2482 ^ [_132529, _132531, _132533, _132535, _132537, _132539, _132541, _132543]), 2483 ^ [_132529, _132531, _132533, _132535, _132537, _132539, _132541, _132543])))], (2493 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(_132543, 2486 ^ [_132529, _132531, _132533, _132535, _132537, _132539, _132541, _132543]), 2487 ^ [_132529, _132531, _132533, _132535, _132537, _132539, _132541, _132543]))]], -(hBOOL(hAPP(hAPP(_132543, _132537), _132539)))], (2497 ^ _83121) ^ [_133659, _133661, _133663, _133665, _133667, _133669, _133671, _133673] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_133659, _133661), tc_prod(_133659, _133661))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_133659, _133661), tc_prod(_133659, _133661)), hAPP(hAPP(c_Product__Type_OPair(_133659, _133661), _133663), _133665)), hAPP(hAPP(c_Product__Type_OPair(_133659, _133661), _133667), _133669))), c_Transitive__Closure_Ortrancl(tc_prod(_133659, _133661), _133671))), hBOOL(hAPP(hAPP(_133673, _133667), _133669)), 2510 ^ _83121 : [(2511 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_133659, _133661), tc_prod(_133659, _133661))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_133659, _133661), tc_prod(_133659, _133661)), hAPP(hAPP(c_Product__Type_OPair(_133659, _133661), 2506 ^ [_133659, _133661, _133663, _133665, _133667, _133669, _133671, _133673]), 2507 ^ [_133659, _133661, _133663, _133665, _133667, _133669, _133671, _133673])), hAPP(hAPP(c_Product__Type_OPair(_133659, _133661), 2508 ^ [_133659, _133661, _133663, _133665, _133667, _133669, _133671, _133673]), 2509 ^ [_133659, _133661, _133663, _133665, _133667, _133669, _133671, _133673]))), _133671)))], (2513 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_133659, _133661), tc_prod(_133659, _133661))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_133659, _133661), tc_prod(_133659, _133661)), hAPP(hAPP(c_Product__Type_OPair(_133659, _133661), 2508 ^ [_133659, _133661, _133663, _133665, _133667, _133669, _133671, _133673]), 2509 ^ [_133659, _133661, _133663, _133665, _133667, _133669, _133671, _133673])), hAPP(hAPP(c_Product__Type_OPair(_133659, _133661), _133667), _133669))), c_Transitive__Closure_Ortrancl(tc_prod(_133659, _133661), _133671))))], (2515 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(_133673, 2508 ^ [_133659, _133661, _133663, _133665, _133667, _133669, _133671, _133673]), 2509 ^ [_133659, _133661, _133663, _133665, _133667, _133669, _133671, _133673])))], (2517 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(_133673, 2506 ^ [_133659, _133661, _133663, _133665, _133667, _133669, _133671, _133673]), 2507 ^ [_133659, _133661, _133663, _133665, _133667, _133669, _133671, _133673]))]], -(hBOOL(hAPP(hAPP(_133673, _133663), _133665)))], (2521 ^ _83121) ^ [_134719, _134721, _134723, _134725, _134727, _134729, _134731] : [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_134719, _134721), tc_prod(_134719, _134721))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_134719, _134721), tc_prod(_134719, _134721)), hAPP(hAPP(c_Product__Type_OPair(_134719, _134721), _134723), _134725)), hAPP(hAPP(c_Product__Type_OPair(_134719, _134721), _134727), _134729))), c_Transitive__Closure_Ortrancl(tc_prod(_134719, _134721), _134731))), -(hAPP(hAPP(c_Product__Type_OPair(_134719, _134721), _134723), _134725) = hAPP(hAPP(c_Product__Type_OPair(_134719, _134721), _134727), _134729)), 2530 ^ _83121 : [(2531 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_134719, _134721), tc_prod(_134719, _134721))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_134719, _134721), tc_prod(_134719, _134721)), hAPP(hAPP(c_Product__Type_OPair(_134719, _134721), _134723), _134725)), hAPP(hAPP(c_Product__Type_OPair(_134719, _134721), 2528 ^ [_134719, _134721, _134723, _134725, _134727, _134729, _134731]), 2529 ^ [_134719, _134721, _134723, _134725, _134727, _134729, _134731]))), _134731)))], (2533 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_134719, _134721), tc_prod(_134719, _134721))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_134719, _134721), tc_prod(_134719, _134721)), hAPP(hAPP(c_Product__Type_OPair(_134719, _134721), 2528 ^ [_134719, _134721, _134723, _134725, _134727, _134729, _134731]), 2529 ^ [_134719, _134721, _134723, _134725, _134727, _134729, _134731])), hAPP(hAPP(c_Product__Type_OPair(_134719, _134721), _134727), _134729))), c_Transitive__Closure_Ortrancl(tc_prod(_134719, _134721), _134731))))]]], (2535 ^ _83121) ^ [_135300, _135302, _135304, _135306, _135308] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_135300, _135302)), _135304), c_FuncSet_Oextensional(_135300, _135302, _135306))), -(hBOOL(hAPP(hAPP(c_member(_135300), _135308), _135306))), -(hAPP(_135304, _135308) = c_HOL_Oundefined(_135302))], (2545 ^ _83121) ^ [_135468, _135470, _135472, _135474, _135476] : [hBOOL(hAPP(hAPP(c_member(_135468), _135470), _135472)), -(hAPP(c_FuncSet_Orestrict(_135468, _135474, _135476, _135472), _135470) = hAPP(_135476, _135470))], (2551 ^ _83121) ^ [_135581, _135583, _135585, _135587, _135589] : [-(hBOOL(hAPP(hAPP(c_member(_135581), _135583), _135585))), -(hAPP(c_FuncSet_Orestrict(_135581, _135587, _135589, _135585), _135583) = c_HOL_Oundefined(_135587))], (2557 ^ _83121) ^ [_135660, _135662, _135664, _135666, _135668] : [hBOOL(hAPP(hAPP(c_member(_135660), _135662), _135664)), -(hAPP(c_FuncSet_Orestrict(_135660, _135666, _135668, _135664), _135662) = hAPP(_135668, _135662))], (2563 ^ _83121) ^ [_135773, _135775, _135777, _135779, _135781] : [-(hBOOL(hAPP(hAPP(c_member(_135773), _135775), _135777))), -(hAPP(c_FuncSet_Orestrict(_135773, _135779, _135781, _135777), _135775) = c_HOL_Oundefined(_135779))], (2569 ^ _83121) ^ [_135834, _135836] : [-(c_Relation_Osingle__valued(_135834, _135834, c_Relation_OId__on(_135834, _135836)))], (2571 ^ _83121) ^ [_135863, _135865, _135867, _135869, _135871, _135873] : [-(c_FuncSet_Ocompose(_135863, _135865, _135867, _135869, _135871, _135873) = c_FuncSet_Orestrict(_135863, _135867, hAPP(c_COMBB(_135865, _135867, _135863, _135871), _135873), _135869))], (2573 ^ _83121) ^ [_135916, _135918, _135920, _135922] : [-(hBOOL(hAPP(hAPP(c_member(tc_fun(_135916, _135918)), c_FuncSet_Orestrict(_135916, _135918, _135920, _135922)), c_FuncSet_Oextensional(_135916, _135918, _135922))))], (2575 ^ _83121) ^ [_135964, _135966, _135968, _135970] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_135964, _135966)), _135968), c_FuncSet_Oextensional(_135964, _135966, _135970))), -(c_FuncSet_Orestrict(_135964, _135966, _135968, _135970) = _135968)], (2581 ^ _83121) ^ [_136083, _136085, _136087, _136089, _136091, _136093] : [c_Relation_Osingle__valued(_136083, _136085, _136087), hBOOL(hAPP(hAPP(c_member(tc_prod(_136083, _136085)), hAPP(hAPP(c_Product__Type_OPair(_136083, _136085), _136089), _136091)), _136087)), hBOOL(hAPP(hAPP(c_member(tc_prod(_136083, _136085)), hAPP(hAPP(c_Product__Type_OPair(_136083, _136085), _136089), _136093)), _136087)), -(_136091 = _136093)], (2609 ^ _83121) ^ [_136758, _136760, _136762] : [2612 ^ _83121 : [(2613 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_136758, _136760)), hAPP(hAPP(c_Product__Type_OPair(_136758, _136760), 2610 ^ [_136758, _136760, _136762]), 2611 ^ [_136758, _136760, _136762])), _136762)))], (2616 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_136758, _136760)), hAPP(hAPP(c_Product__Type_OPair(_136758, _136760), 2610 ^ [_136758, _136760, _136762]), 2614 ^ [_136758, _136760, _136762])), _136762)))], (2618 ^ _83121) ^ [] : [2611 ^ [_136758, _136760, _136762] = 2614 ^ [_136758, _136760, _136762]]], -(c_Relation_Osingle__valued(_136758, _136760, _136762))], (2595 ^ _83121) ^ [_136384, _136386, _136388] : [c_Relation_Osingle__valued(_136384, _136386, _136388), 2598 ^ _83121 : [(2599 ^ _83121) ^ [_136505, _136507] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_136384, _136386)), hAPP(hAPP(c_Product__Type_OPair(_136384, _136386), _136507), _136505)), _136388)), 2602 ^ _83121 : [(2603 ^ _83121) ^ [_136631] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_136384, _136386)), hAPP(hAPP(c_Product__Type_OPair(_136384, _136386), _136507), _136631)), _136388)), -(_136505 = _136631)]]]]], (2622 ^ _83121) ^ [_137128, _137130, _137132, _137134, _137136] : [2624 ^ _83121 : [(2625 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_137128), 2623 ^ [_137128, _137130, _137132, _137134, _137136]), _137130)))], (2627 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_137132), hAPP(_137134, 2623 ^ [_137128, _137130, _137132, _137134, _137136])), hAPP(_137136, 2623 ^ [_137128, _137130, _137132, _137134, _137136])))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_137128, _137132)), c_FuncSet_Orestrict(_137128, _137132, _137134, _137130)), c_FuncSet_OPi(_137128, _137132, _137130, _137136))))], (2631 ^ _83121) ^ [_137398, _137400, _137402, _137404, _137406] : [2633 ^ _83121 : [(2634 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_137398), 2632 ^ [_137398, _137400, _137402, _137404, _137406]), _137400)))], (2636 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_137402), hAPP(_137404, 2632 ^ [_137398, _137400, _137402, _137404, _137406])), _137406))]], -(hBOOL(hAPP(hAPP(c_member(tc_fun(_137398, _137402)), c_FuncSet_Orestrict(_137398, _137402, _137404, _137400)), c_FuncSet_OPi(_137398, _137402, _137400, c_COMBK(tc_fun(_137402, tc_HOL_Obool), _137398, _137406)))))], (2640 ^ _83121) ^ [_137681, _137683, _137685, _137687, _137689, _137691] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_137681, _137681)), hAPP(hAPP(c_Product__Type_OPair(_137681, _137681), _137683), _137685)), _137687)), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_137681, _137689), _137691), _137687), _137685), _137683) = hAPP(_137691, _137683))], (2646 ^ _83121) ^ [_137834, _137836, _137838, _137840, _137842, _137844] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_137834, _137834)), hAPP(hAPP(c_Product__Type_OPair(_137834, _137834), _137836), _137838)), _137840))), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_137834, _137842), _137844), _137840), _137838), _137836) = c_HOL_Oundefined(_137842))], (2652 ^ _83121) ^ [_137916, _137918, _137920, _137922, _137924, _137926] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_137916, _137918)), _137920), c_FuncSet_Oextensional__funcset(_137916, _137918, _137922, _137924))), -(hBOOL(hAPP(hAPP(c_member(_137916), _137926), _137922))), -(hAPP(_137920, _137926) = c_HOL_Oundefined(_137918))], (2662 ^ _83121) ^ [_138070, _138072, _138074, _138076, _138078] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_138070, _138072)), _138074), c_FuncSet_Oextensional(_138070, _138072, _138076))), hBOOL(hAPP(hAPP(c_member(tc_fun(_138070, _138072)), _138078), c_FuncSet_Oextensional(_138070, _138072, _138076))), 2672 ^ _83121 : [(2673 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_138070), 2671 ^ [_138070, _138072, _138074, _138076, _138078]), _138076)))], (2675 ^ _83121) ^ [] : [hAPP(_138074, 2671 ^ [_138070, _138072, _138074, _138076, _138078]) = hAPP(_138078, 2671 ^ [_138070, _138072, _138074, _138076, _138078])]], -(_138074 = _138078)], (2679 ^ _83121) ^ [_138451, _138453, _138455] : [2682 ^ _83121 : [(2683 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_138451, _138453)), hAPP(hAPP(c_Product__Type_OPair(_138451, _138453), 2680 ^ [_138451, _138453, _138455]), 2681 ^ [_138451, _138453, _138455])), _138455)))], (2686 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_138451, _138453)), hAPP(hAPP(c_Product__Type_OPair(_138451, _138453), 2680 ^ [_138451, _138453, _138455]), 2684 ^ [_138451, _138453, _138455])), _138455)))], (2688 ^ _83121) ^ [] : [2681 ^ [_138451, _138453, _138455] = 2684 ^ [_138451, _138453, _138455]]], -(c_Relation_Osingle__valued(_138451, _138453, _138455))], (2692 ^ _83121) ^ [_138819, _138821, _138823, _138825, _138827] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_138819, _138819)), hAPP(hAPP(c_Product__Type_OPair(_138819, _138819), _138821), _138823)), c_Transitive__Closure_Ortrancl(_138819, _138825))), hBOOL(hAPP(_138827, _138821)), 2702 ^ _83121 : [(2703 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_138819, _138819)), hAPP(hAPP(c_Product__Type_OPair(_138819, _138819), _138821), 2701 ^ [_138819, _138821, _138823, _138825, _138827])), c_Transitive__Closure_Ortrancl(_138819, _138825))))], (2706 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_138819, _138819)), hAPP(hAPP(c_Product__Type_OPair(_138819, _138819), 2701 ^ [_138819, _138821, _138823, _138825, _138827]), 2704 ^ [_138819, _138821, _138823, _138825, _138827])), _138825)))], (2708 ^ _83121) ^ [] : [-(hBOOL(hAPP(_138827, 2701 ^ [_138819, _138821, _138823, _138825, _138827])))], (2710 ^ _83121) ^ [] : [hBOOL(hAPP(_138827, 2704 ^ [_138819, _138821, _138823, _138825, _138827]))]], -(hBOOL(hAPP(_138827, _138823)))], (2714 ^ _83121) ^ [_139430, _139432, _139434, _139436, _139438, _139440] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_139430, _139432)), _139434), c_FuncSet_Oextensional__funcset(_139430, _139432, _139436, _139438))), hBOOL(hAPP(hAPP(c_member(_139430), _139440), _139436)), -(hBOOL(hAPP(hAPP(c_member(_139432), hAPP(_139434, _139440)), _139438)))], (2724 ^ _83121) ^ [_139639, _139641, _139643, _139645, _139647, _139649] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_139643, _139643)), hAPP(hAPP(c_Product__Type_OPair(_139643, _139643), _139645), _139647)), _139639)), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_139643, _139649), _139641), _139639), _139647), _139645) = hAPP(_139641, _139645))], (2740 ^ _83121) ^ [_140106, _140108, _140110, _140112, _140114, _140116] : [2742 ^ _83121 : [(2743 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_140106, _140106)), hAPP(hAPP(c_Product__Type_OPair(_140106, _140106), 2741 ^ [_140106, _140108, _140110, _140112, _140114, _140116]), _140114)), _140112)))], (2745 ^ _83121) ^ [] : [hAPP(_140110, 2741 ^ [_140106, _140108, _140110, _140112, _140114, _140116]) = hAPP(_140116, 2741 ^ [_140106, _140108, _140110, _140112, _140114, _140116])]], -(hAPP(hAPP(hAPP(c_Recdef_Ocut(_140106, _140108), _140110), _140112), _140114) = hAPP(hAPP(hAPP(c_Recdef_Ocut(_140106, _140108), _140116), _140112), _140114))], (2730 ^ _83121) ^ [_139825, _139827, _139829, _139831, _139833, _139835] : [hAPP(hAPP(hAPP(c_Recdef_Ocut(_139825, _139827), _139829), _139831), _139833) = hAPP(hAPP(hAPP(c_Recdef_Ocut(_139825, _139827), _139835), _139831), _139833), 2733 ^ _83121 : [(2734 ^ _83121) ^ [_139969] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_139825, _139825)), hAPP(hAPP(c_Product__Type_OPair(_139825, _139825), _139969), _139833)), _139831)), -(hAPP(_139829, _139969) = hAPP(_139835, _139969))]]], (2749 ^ _83121) ^ [_140399, _140401, _140403, _140405, _140407, _140409] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_140399, _140399)), hAPP(hAPP(c_Product__Type_OPair(_140399, _140399), _140401), _140403)), _140405)), -(hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(_140399, _140407), _140409), _140405), _140403), _140401) = hAPP(_140409, _140401))], (2755 ^ _83121) ^ [_140558, _140560, _140562, _140564] : [-(c_Recdef_Oadm__wf(_140558, _140560, _140562, hAPP(hAPP(c_COMBC(tc_fun(_140558, _140560), tc_fun(_140558, _140558), tc_fun(_140558, _140560)), hAPP(c_COMBB(tc_fun(_140558, tc_fun(_140558, _140560)), tc_fun(tc_fun(_140558, _140558), tc_fun(_140558, _140560)), tc_fun(_140558, _140560), c_COMBS(_140558, _140558, _140560)), hAPP(c_COMBB(tc_fun(_140558, tc_fun(_140558, _140560)), tc_fun(_140558, tc_fun(_140558, _140560)), tc_fun(_140558, _140560), c_COMBB(tc_fun(_140558, _140560), tc_fun(_140558, _140560), _140558, _140564)), hAPP(hAPP(c_COMBC(tc_fun(_140558, _140560), tc_fun(tc_prod(_140558, _140558), tc_HOL_Obool), tc_fun(_140558, tc_fun(_140558, _140560))), c_Recdef_Ocut(_140558, _140560)), _140562)))), c_COMBI(_140558))))], (2757 ^ _83121) ^ [_140702, _140704, _140706, _140708] : [-(c_FuncSet_Oextensional__funcset(_140702, _140704, _140706, _140708) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_140702, _140704), tc_HOL_Obool), c_FuncSet_OPi(_140702, _140704, _140706, c_COMBK(tc_fun(_140704, tc_HOL_Obool), _140702, _140708)), c_FuncSet_Oextensional(_140702, _140704, _140706)))], (2759 ^ _83121) ^ [_140762, _140764, _140766, _140768] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_140762, _140762)), hAPP(hAPP(c_Product__Type_OPair(_140762, _140762), _140764), _140766)), c_Transitive__Closure_Ortrancl(_140762, _140768))), -(_140764 = _140766), 2767 ^ _83121 : [(2768 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_140762, _140762)), hAPP(hAPP(c_Product__Type_OPair(_140762, _140762), _140764), 2766 ^ [_140762, _140764, _140766, _140768])), c_Transitive__Closure_Ortrancl(_140762, _140768))))], (2770 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_140762, _140762)), hAPP(hAPP(c_Product__Type_OPair(_140762, _140762), 2766 ^ [_140762, _140764, _140766, _140768]), _140766)), _140768)))]]], (2772 ^ _83121) ^ [_141058, _141060, _141062, _141064] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_141058, _141058)), hAPP(hAPP(c_Product__Type_OPair(_141058, _141058), _141060), _141062)), c_Transitive__Closure_Ortrancl(_141058, _141064))), -(_141060 = _141062), 2780 ^ _83121 : [(2781 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_141058, _141058)), hAPP(hAPP(c_Product__Type_OPair(_141058, _141058), _141060), 2779 ^ [_141058, _141060, _141062, _141064])), _141064)))], (2783 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_141058, _141058)), hAPP(hAPP(c_Product__Type_OPair(_141058, _141058), 2779 ^ [_141058, _141060, _141062, _141064]), _141062)), c_Transitive__Closure_Ortrancl(_141058, _141064))))]]], (2785 ^ _83121) ^ [_141354, _141356, _141358, _141360, _141362] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_141354, _141354)), hAPP(hAPP(c_Product__Type_OPair(_141354, _141354), _141356), _141358)), c_Transitive__Closure_Ortrancl(_141354, _141360))), hBOOL(hAPP(_141362, _141358)), 2796 ^ _83121 : [(2797 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_141354, _141354)), hAPP(hAPP(c_Product__Type_OPair(_141354, _141354), 2794 ^ [_141354, _141356, _141358, _141360, _141362]), 2795 ^ [_141354, _141356, _141358, _141360, _141362])), _141360)))], (2799 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_141354, _141354)), hAPP(hAPP(c_Product__Type_OPair(_141354, _141354), 2795 ^ [_141354, _141356, _141358, _141360, _141362]), _141358)), c_Transitive__Closure_Ortrancl(_141354, _141360))))], (2801 ^ _83121) ^ [] : [-(hBOOL(hAPP(_141362, 2795 ^ [_141354, _141356, _141358, _141360, _141362])))], (2803 ^ _83121) ^ [] : [hBOOL(hAPP(_141362, 2794 ^ [_141354, _141356, _141358, _141360, _141362]))]], -(hBOOL(hAPP(_141362, _141356)))], (2807 ^ _83121) ^ [_141934, _141936, _141938, _141940] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_141934, _141934)), hAPP(hAPP(c_Product__Type_OPair(_141934, _141934), _141936), _141938)), c_Transitive__Closure_Otrancl(_141934, _141940))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_141934, _141934)), hAPP(hAPP(c_Product__Type_OPair(_141934, _141934), _141936), _141938)), c_Transitive__Closure_Ortrancl(_141934, _141940))))], (2813 ^ _83121) ^ [_142103, _142105, _142107, _142109] : [hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_142103, tc_HOL_Obool), _142105, _142107), _142109)), 2816 ^ _83121 : [(2817 ^ _83121) ^ [] : [-(hBOOL(hAPP(_142105, _142109)))], (2819 ^ _83121) ^ [] : [-(hBOOL(hAPP(_142107, _142109)))]]], (2821 ^ _83121) ^ [_142240, _142242, _142244, _142246] : [hBOOL(hAPP(_142240, _142242)), hBOOL(hAPP(_142244, _142242)), -(hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_142246, tc_HOL_Obool), _142240, _142244), _142242)))], (2831 ^ _83121) ^ [_142403, _142405, _142407, _142409] : [hBOOL(hAPP(hAPP(c_member(_142403), _142405), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_142403, tc_HOL_Obool), _142407, _142409))), 2834 ^ _83121 : [(2835 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_142403), _142405), _142407)))], (2837 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_142403), _142405), _142409)))]]], (2839 ^ _83121) ^ [_142570, _142572, _142574, _142576] : [hBOOL(hAPP(hAPP(c_member(_142570), _142572), _142574)), hBOOL(hAPP(hAPP(c_member(_142570), _142572), _142576)), -(hBOOL(hAPP(hAPP(c_member(_142570), _142572), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_142570, tc_HOL_Obool), _142574, _142576))))], (2849 ^ _83121) ^ [_142763, _142765, _142767, _142769] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_142763, _142763)), hAPP(hAPP(c_Product__Type_OPair(_142763, _142763), _142765), _142767)), _142769)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_142763, _142763)), hAPP(hAPP(c_Product__Type_OPair(_142763, _142763), _142765), _142767)), c_Transitive__Closure_Otrancl(_142763, _142769))))], (2855 ^ _83121) ^ [_142926, _142928, _142930, _142932] : [hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_142926, tc_HOL_Obool), _142928, _142930), _142932)), -(hBOOL(hAPP(_142930, _142932)))], (2861 ^ _83121) ^ [_143029, _143031, _143033, _143035] : [hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143029, tc_HOL_Obool), _143031, _143033), _143035)), -(hBOOL(hAPP(_143031, _143035)))], (2867 ^ _83121) ^ [_143132, _143134, _143136, _143138] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143132, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143132, tc_HOL_Obool), _143134, _143136), _143138) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143132, tc_HOL_Obool), _143134, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143132, tc_HOL_Obool), _143136, _143138)))], (2869 ^ _83121) ^ [_143189, _143191, _143193, _143195] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143189, tc_HOL_Obool), _143191, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143189, tc_HOL_Obool), _143193, _143195)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143189, tc_HOL_Obool), _143193, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143189, tc_HOL_Obool), _143191, _143195)))], (2871 ^ _83121) ^ [_143246, _143248, _143250] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143246, tc_HOL_Obool), _143248, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143246, tc_HOL_Obool), _143248, _143250)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143246, tc_HOL_Obool), _143248, _143250))], (2873 ^ _83121) ^ [_143294, _143296, _143298] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143294, tc_HOL_Obool), _143296, _143298) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143294, tc_HOL_Obool), _143298, _143296))], (2875 ^ _83121) ^ [_143335, _143337] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143335, tc_HOL_Obool), _143337, _143337) = _143337)], (2877 ^ _83121) ^ [_143367, _143369, _143371, _143373, _143375] : [c_Relation_Orefl__on(_143367, _143369, _143371), c_Relation_Orefl__on(_143367, _143373, _143375), -(c_Relation_Orefl__on(_143367, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143367, tc_HOL_Obool), _143369, _143373), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_143367, _143367), tc_HOL_Obool), _143371, _143375)))], (2887 ^ _83121) ^ [_143548, _143550, _143552, _143554] : [hBOOL(hAPP(hAPP(c_member(_143548), _143550), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143548, tc_HOL_Obool), _143552, _143554))), -(hBOOL(hAPP(hAPP(c_member(_143548), _143550), _143554)))], (2893 ^ _83121) ^ [_143671, _143673, _143675, _143677] : [hBOOL(hAPP(hAPP(c_member(_143671), _143673), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143671, tc_HOL_Obool), _143675, _143677))), -(hBOOL(hAPP(hAPP(c_member(_143671), _143673), _143675)))], (2899 ^ _83121) ^ [_143815, _143817, _143819, _143821] : [hBOOL(hAPP(hAPP(c_member(_143815), _143817), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143815, tc_HOL_Obool), _143819, _143821))), 2902 ^ _83121 : [(2903 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_143815), _143817), _143819)))], (2905 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_143815), _143817), _143821)))]]], (2907 ^ _83121) ^ [_143974, _143976, _143978, _143980] : [-(hBOOL(hAPP(hAPP(c_member(_143974), _143976), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_143974, tc_HOL_Obool), _143978, _143980)))), hBOOL(hAPP(hAPP(c_member(_143974), _143976), _143978)), hBOOL(hAPP(hAPP(c_member(_143974), _143976), _143980))], (2917 ^ _83121) ^ [_144169, _144171, _144173] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_144169, _144169)), _144171), _144173)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_144169, _144169)), _144171), c_Transitive__Closure_Otrancl(_144169, _144173))))], (2923 ^ _83121) ^ [_144294, _144296] : [-(c_Transitive__Closure_Ortrancl(_144294, c_Transitive__Closure_Otrancl(_144294, _144296)) = c_Transitive__Closure_Ortrancl(_144294, _144296))], (2925 ^ _83121) ^ [_144328, _144330] : [-(c_Transitive__Closure_Otrancl(_144328, c_Transitive__Closure_Ortrancl(_144328, _144330)) = c_Transitive__Closure_Ortrancl(_144328, _144330))], (2927 ^ _83121) ^ [_144362, _144364] : [-(c_Transitive__Closure_Otrancl(_144362, c_Relation_Oconverse(_144362, _144362, _144364)) = c_Relation_Oconverse(_144362, _144362, c_Transitive__Closure_Otrancl(_144362, _144364)))], (2929 ^ _83121) ^ [_144401, _144403] : [-(c_Relation_ODomain(_144401, _144401, c_Transitive__Closure_Otrancl(_144401, _144403)) = c_Relation_ODomain(_144401, _144401, _144403))], (2931 ^ _83121) ^ [_144437, _144439] : [-(c_Relation_ORange(_144437, _144437, c_Transitive__Closure_Otrancl(_144437, _144439)) = c_Relation_ORange(_144437, _144437, _144439))], (2933 ^ _83121) ^ [_144494, _144496, _144498, _144500] : [hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_144494, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_144494, tc_fun(_144494, tc_HOL_Obool), tc_HOL_Obool), c_member(_144494)), _144496), hAPP(hAPP(c_COMBC(_144494, tc_fun(_144494, tc_HOL_Obool), tc_HOL_Obool), c_member(_144494)), _144498)), _144500)), -(hBOOL(hAPP(hAPP(c_member(_144494), _144500), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_144494, tc_HOL_Obool), _144496, _144498))))], (2939 ^ _83121) ^ [_144677, _144679, _144681, _144683] : [hBOOL(hAPP(hAPP(c_member(_144677), _144683), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_144677, tc_HOL_Obool), _144679, _144681))), -(hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_144677, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_144677, tc_fun(_144677, tc_HOL_Obool), tc_HOL_Obool), c_member(_144677)), _144679), hAPP(hAPP(c_COMBC(_144677, tc_fun(_144677, tc_HOL_Obool), tc_HOL_Obool), c_member(_144677)), _144681)), _144683)))], (2945 ^ _83121) ^ [_144866, _144868, _144870, _144872, _144874] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_144866, _144866)), hAPP(hAPP(c_Product__Type_OPair(_144866, _144866), _144868), _144870)), c_Transitive__Closure_Otrancl(_144866, _144872))), hBOOL(hAPP(hAPP(c_member(tc_prod(_144866, _144866)), hAPP(hAPP(c_Product__Type_OPair(_144866, _144866), _144870), _144874)), c_Transitive__Closure_Otrancl(_144866, _144872))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_144866, _144866)), hAPP(hAPP(c_Product__Type_OPair(_144866, _144866), _144868), _144874)), c_Transitive__Closure_Otrancl(_144866, _144872))))], (2955 ^ _83121) ^ [_145139, _145141, _145143, _145145, _145147] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_145139, _145139)), hAPP(hAPP(c_Product__Type_OPair(_145139, _145139), _145141), _145143)), c_Transitive__Closure_Otrancl(_145139, _145145))), hBOOL(hAPP(hAPP(c_member(tc_prod(_145139, _145139)), hAPP(hAPP(c_Product__Type_OPair(_145139, _145139), _145143), _145147)), _145145)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_145139, _145139)), hAPP(hAPP(c_Product__Type_OPair(_145139, _145139), _145141), _145147)), c_Transitive__Closure_Otrancl(_145139, _145145))))], (2965 ^ _83121) ^ [_145406, _145408, _145410, _145412, _145414] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_145406, _145406)), hAPP(hAPP(c_Product__Type_OPair(_145406, _145406), _145408), _145410)), _145412)), hBOOL(hAPP(hAPP(c_member(tc_prod(_145406, _145406)), hAPP(hAPP(c_Product__Type_OPair(_145406, _145406), _145410), _145414)), c_Transitive__Closure_Otrancl(_145406, _145412))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_145406, _145406)), hAPP(hAPP(c_Product__Type_OPair(_145406, _145406), _145408), _145414)), c_Transitive__Closure_Otrancl(_145406, _145412))))], (2975 ^ _83121) ^ [_145673, _145675, _145677, _145679, _145681] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_145673, _145673)), hAPP(hAPP(c_Product__Type_OPair(_145673, _145673), _145675), _145677)), _145679)), hBOOL(hAPP(hAPP(c_member(tc_prod(_145673, _145673)), hAPP(hAPP(c_Product__Type_OPair(_145673, _145673), _145677), _145681)), _145679)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_145673, _145673)), hAPP(hAPP(c_Product__Type_OPair(_145673, _145673), _145675), _145681)), c_Transitive__Closure_Otrancl(_145673, _145679))))], (2985 ^ _83121) ^ [_145955, _145957, _145959, _145961] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_145955, _145955)), hAPP(hAPP(c_Product__Type_OPair(_145955, _145955), _145957), _145959)), c_Transitive__Closure_Ortrancl(_145955, _145961))), -(_145957 = _145959), 2992 ^ _83121 : [(2993 ^ _83121) ^ [] : [_145957 = _145959], (2995 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_145955, _145955)), hAPP(hAPP(c_Product__Type_OPair(_145955, _145955), _145957), _145959)), c_Transitive__Closure_Otrancl(_145955, _145961))))]]], (2997 ^ _83121) ^ [_146213, _146215, _146217, _146219] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_146213, _146213)), hAPP(hAPP(c_Product__Type_OPair(_146213, _146213), _146215), _146217)), c_Transitive__Closure_Ortrancl(_146213, _146219)))), 2998 ^ _83121 : [(2999 ^ _83121) ^ [] : [_146215 = _146217], (3001 ^ _83121) ^ [] : [-(_146215 = _146217), hBOOL(hAPP(hAPP(c_member(tc_prod(_146213, _146213)), hAPP(hAPP(c_Product__Type_OPair(_146213, _146213), _146215), _146217)), c_Transitive__Closure_Otrancl(_146213, _146219)))]]], (3009 ^ _83121) ^ [_146479, _146481, _146483, _146485, _146487] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_146479, _146479)), hAPP(hAPP(c_Product__Type_OPair(_146479, _146479), _146481), _146483)), _146485)), hBOOL(hAPP(hAPP(c_member(tc_prod(_146479, _146479)), hAPP(hAPP(c_Product__Type_OPair(_146479, _146479), _146483), _146487)), c_Transitive__Closure_Ortrancl(_146479, _146485))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_146479, _146479)), hAPP(hAPP(c_Product__Type_OPair(_146479, _146479), _146481), _146487)), c_Transitive__Closure_Otrancl(_146479, _146485))))], (3019 ^ _83121) ^ [_146746, _146748, _146750, _146752] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_146746, _146746)), hAPP(hAPP(c_Product__Type_OPair(_146746, _146746), _146748), _146750)), c_Transitive__Closure_Ortrancl(_146746, _146752))), -(_146748 = _146750), 3026 ^ _83121 : [(3027 ^ _83121) ^ [] : [_146748 = _146750], (3029 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_146746, _146746)), hAPP(hAPP(c_Product__Type_OPair(_146746, _146746), _146748), _146750)), c_Transitive__Closure_Otrancl(_146746, _146752))))]]], (3031 ^ _83121) ^ [_147008, _147010, _147012, _147014, _147016] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_147008, _147008)), hAPP(hAPP(c_Product__Type_OPair(_147008, _147008), _147010), _147012)), c_Transitive__Closure_Ortrancl(_147008, _147014))), hBOOL(hAPP(hAPP(c_member(tc_prod(_147008, _147008)), hAPP(hAPP(c_Product__Type_OPair(_147008, _147008), _147012), _147016)), _147014)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_147008, _147008)), hAPP(hAPP(c_Product__Type_OPair(_147008, _147008), _147010), _147016)), c_Transitive__Closure_Otrancl(_147008, _147014))))], (3041 ^ _83121) ^ [_147275, _147277, _147279, _147281, _147283] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_147275, _147275)), hAPP(hAPP(c_Product__Type_OPair(_147275, _147275), _147277), _147279)), c_Transitive__Closure_Otrancl(_147275, _147281))), hBOOL(hAPP(hAPP(c_member(tc_prod(_147275, _147275)), hAPP(hAPP(c_Product__Type_OPair(_147275, _147275), _147279), _147283)), c_Transitive__Closure_Ortrancl(_147275, _147281))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_147275, _147275)), hAPP(hAPP(c_Product__Type_OPair(_147275, _147275), _147277), _147283)), c_Transitive__Closure_Otrancl(_147275, _147281))))], (3051 ^ _83121) ^ [_147548, _147550, _147552, _147554, _147556] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_147548, _147548)), hAPP(hAPP(c_Product__Type_OPair(_147548, _147548), _147550), _147552)), c_Transitive__Closure_Ortrancl(_147548, _147554))), hBOOL(hAPP(hAPP(c_member(tc_prod(_147548, _147548)), hAPP(hAPP(c_Product__Type_OPair(_147548, _147548), _147552), _147556)), c_Transitive__Closure_Otrancl(_147548, _147554))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_147548, _147548)), hAPP(hAPP(c_Product__Type_OPair(_147548, _147548), _147550), _147556)), c_Transitive__Closure_Otrancl(_147548, _147554))))], (3061 ^ _83121) ^ [_147821, _147823, _147825, _147827] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_147821, _147821)), hAPP(hAPP(c_Product__Type_OPair(_147821, _147821), _147823), _147825)), c_Transitive__Closure_Otrancl(_147821, c_Relation_Oconverse(_147821, _147821, _147827)))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_147821, _147821)), hAPP(hAPP(c_Product__Type_OPair(_147821, _147821), _147823), _147825)), c_Relation_Oconverse(_147821, _147821, c_Transitive__Closure_Otrancl(_147821, _147827)))))], (3067 ^ _83121) ^ [_148006, _148008, _148010, _148012] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_148006, _148006)), hAPP(hAPP(c_Product__Type_OPair(_148006, _148006), _148008), _148010)), c_Relation_Oconverse(_148006, _148006, c_Transitive__Closure_Otrancl(_148006, _148012)))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_148006, _148006)), hAPP(hAPP(c_Product__Type_OPair(_148006, _148006), _148008), _148010)), c_Transitive__Closure_Otrancl(_148006, c_Relation_Oconverse(_148006, _148006, _148012)))))], (3073 ^ _83121) ^ [_148191, _148193, _148195, _148197, _148199] : [class_Lattices_Olattice(_148191), -(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_148193, _148191), _148195, _148197), _148199) = c_Lattices_Osemilattice__inf__class_Oinf(_148191, hAPP(_148195, _148199), hAPP(_148197, _148199)))], (3079 ^ _83121) ^ [_148312, _148314, _148316, _148318, _148320] : [class_Lattices_Olattice(_148312), -(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_148314, _148312), _148316, _148318), _148320) = c_Lattices_Osemilattice__inf__class_Oinf(_148312, hAPP(_148316, _148320), hAPP(_148318, _148320)))], (3085 ^ _83121) ^ [_148433, _148435, _148437, _148439] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_148433, _148433)), hAPP(hAPP(c_Product__Type_OPair(_148433, _148433), _148435), _148437)), c_Transitive__Closure_Otrancl(_148433, _148439))), 3089 ^ _83121 : [(3090 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_148433, _148433)), hAPP(hAPP(c_Product__Type_OPair(_148433, _148433), _148435), 3088 ^ [_148433, _148435, _148437, _148439])), _148439)))], (3092 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_148433, _148433)), hAPP(hAPP(c_Product__Type_OPair(_148433, _148433), 3088 ^ [_148433, _148435, _148437, _148439]), _148437)), c_Transitive__Closure_Ortrancl(_148433, _148439))))]]], (3094 ^ _83121) ^ [_148693, _148695, _148697, _148699] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_148693, _148693)), hAPP(hAPP(c_Product__Type_OPair(_148693, _148693), _148695), _148697)), c_Transitive__Closure_Otrancl(_148693, _148699))), 3098 ^ _83121 : [(3099 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_148693, _148693)), hAPP(hAPP(c_Product__Type_OPair(_148693, _148693), _148695), 3097 ^ [_148693, _148695, _148697, _148699])), c_Transitive__Closure_Ortrancl(_148693, _148699))))], (3101 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_148693, _148693)), hAPP(hAPP(c_Product__Type_OPair(_148693, _148693), 3097 ^ [_148693, _148695, _148697, _148699]), _148697)), _148699)))]]], (3103 ^ _83121) ^ [_148968, _148970] : [c_Wellfounded_Oacyclic(_148968, _148970), 3106 ^ _83121 : [(3107 ^ _83121) ^ [_149053] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_148968, _148968)), hAPP(hAPP(c_Product__Type_OPair(_148968, _148968), _149053), _149053)), c_Transitive__Closure_Otrancl(_148968, _148970)))]]], (3109 ^ _83121) ^ [_149096, _149098] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_149096, _149096)), hAPP(hAPP(c_Product__Type_OPair(_149096, _149096), 3110 ^ [_149096, _149098]), 3110 ^ [_149096, _149098])), c_Transitive__Closure_Otrancl(_149096, _149098)))), -(c_Wellfounded_Oacyclic(_149096, _149098))], (3116 ^ _83121) ^ [_149191, _149193, _149195, _149197] : [c_Recdef_Oadm__wf(_149191, _149193, _149195, _149197), 3119 ^ _83121 : [(3120 ^ _83121) ^ [_149320, _149322, _149324] : [3122 ^ _83121 : [(3123 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_149191, _149191)), hAPP(hAPP(c_Product__Type_OPair(_149191, _149191), 3121 ^ [_149191, _149193, _149195, _149197, _149320, _149322, _149324]), _149320)), _149195)))], (3125 ^ _83121) ^ [] : [hAPP(_149324, 3121 ^ [_149191, _149193, _149195, _149197, _149320, _149322, _149324]) = hAPP(_149322, 3121 ^ [_149191, _149193, _149195, _149197, _149320, _149322, _149324])]], -(hAPP(hAPP(_149197, _149324), _149320) = hAPP(hAPP(_149197, _149322), _149320))]]], (3129 ^ _83121) ^ [_149597, _149599, _149601, _149603] : [-(c_Recdef_Oadm__wf(_149597, _149599, _149601, _149603)), 3133 ^ _83121 : [(3140 ^ _83121) ^ [] : [hAPP(hAPP(_149603, 3130 ^ [_149597, _149599, _149601, _149603]), 3132 ^ [_149597, _149599, _149601, _149603]) = hAPP(hAPP(_149603, 3131 ^ [_149597, _149599, _149601, _149603]), 3132 ^ [_149597, _149599, _149601, _149603])], (3134 ^ _83121) ^ [_149814] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_149597, _149597)), hAPP(hAPP(c_Product__Type_OPair(_149597, _149597), _149814), 3132 ^ [_149597, _149599, _149601, _149603])), _149601)), -(hAPP(3130 ^ [_149597, _149599, _149601, _149603], _149814) = hAPP(3131 ^ [_149597, _149599, _149601, _149603], _149814))]]], (3144 ^ _83121) ^ [_150148, _150150, _150152, _150154, _150156, _150158] : [hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_150148, tc_fun(_150150, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_150148, tc_fun(tc_prod(_150148, _150150), tc_HOL_Obool), tc_fun(_150150, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_150150, tc_fun(tc_fun(tc_prod(_150148, _150150), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_150148, _150150), tc_HOL_Obool), tc_fun(_150150, tc_HOL_Obool)), _150148, c_COMBC(_150150, tc_fun(tc_prod(_150148, _150150), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_150150, tc_prod(_150148, _150150)), tc_fun(_150150, tc_fun(tc_fun(tc_prod(_150148, _150150), tc_HOL_Obool), tc_HOL_Obool)), _150148, c_COMBB(tc_prod(_150148, _150150), tc_fun(tc_fun(tc_prod(_150148, _150150), tc_HOL_Obool), tc_HOL_Obool), _150150, c_member(tc_prod(_150148, _150150)))), c_Product__Type_OPair(_150148, _150150)))), _150152), hAPP(hAPP(c_COMBC(_150148, tc_fun(tc_prod(_150148, _150150), tc_HOL_Obool), tc_fun(_150150, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_150150, tc_fun(tc_fun(tc_prod(_150148, _150150), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_150148, _150150), tc_HOL_Obool), tc_fun(_150150, tc_HOL_Obool)), _150148, c_COMBC(_150150, tc_fun(tc_prod(_150148, _150150), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_150150, tc_prod(_150148, _150150)), tc_fun(_150150, tc_fun(tc_fun(tc_prod(_150148, _150150), tc_HOL_Obool), tc_HOL_Obool)), _150148, c_COMBB(tc_prod(_150148, _150150), tc_fun(tc_fun(tc_prod(_150148, _150150), tc_HOL_Obool), tc_HOL_Obool), _150150, c_member(tc_prod(_150148, _150150)))), c_Product__Type_OPair(_150148, _150150)))), _150154)), _150156), _150158)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_150148, _150150)), hAPP(hAPP(c_Product__Type_OPair(_150148, _150150), _150156), _150158)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_150148, _150150), tc_HOL_Obool), _150152, _150154))))], (3150 ^ _83121) ^ [_150765, _150767, _150769, _150771, _150773, _150775] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_150765, _150767)), hAPP(hAPP(c_Product__Type_OPair(_150765, _150767), _150773), _150775)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_150765, _150767), tc_HOL_Obool), _150769, _150771))), -(hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_150765, tc_fun(_150767, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_150765, tc_fun(tc_prod(_150765, _150767), tc_HOL_Obool), tc_fun(_150767, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_150767, tc_fun(tc_fun(tc_prod(_150765, _150767), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_150765, _150767), tc_HOL_Obool), tc_fun(_150767, tc_HOL_Obool)), _150765, c_COMBC(_150767, tc_fun(tc_prod(_150765, _150767), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_150767, tc_prod(_150765, _150767)), tc_fun(_150767, tc_fun(tc_fun(tc_prod(_150765, _150767), tc_HOL_Obool), tc_HOL_Obool)), _150765, c_COMBB(tc_prod(_150765, _150767), tc_fun(tc_fun(tc_prod(_150765, _150767), tc_HOL_Obool), tc_HOL_Obool), _150767, c_member(tc_prod(_150765, _150767)))), c_Product__Type_OPair(_150765, _150767)))), _150769), hAPP(hAPP(c_COMBC(_150765, tc_fun(tc_prod(_150765, _150767), tc_HOL_Obool), tc_fun(_150767, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_150767, tc_fun(tc_fun(tc_prod(_150765, _150767), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_150765, _150767), tc_HOL_Obool), tc_fun(_150767, tc_HOL_Obool)), _150765, c_COMBC(_150767, tc_fun(tc_prod(_150765, _150767), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_150767, tc_prod(_150765, _150767)), tc_fun(_150767, tc_fun(tc_fun(tc_prod(_150765, _150767), tc_HOL_Obool), tc_HOL_Obool)), _150765, c_COMBB(tc_prod(_150765, _150767), tc_fun(tc_fun(tc_prod(_150765, _150767), tc_HOL_Obool), tc_HOL_Obool), _150767, c_member(tc_prod(_150765, _150767)))), c_Product__Type_OPair(_150765, _150767)))), _150771)), _150773), _150775)))], (3156 ^ _83121) ^ [_151388, _151390, _151392, _151394] : [-(c_Predicate_Oconversep(_151388, _151390, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_151388, tc_fun(_151390, tc_HOL_Obool)), _151392, _151394)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_151390, tc_fun(_151388, tc_HOL_Obool)), c_Predicate_Oconversep(_151388, _151390, _151392), c_Predicate_Oconversep(_151388, _151390, _151394)))], (3158 ^ _83121) ^ [_151449, _151451, _151453, _151455] : [-(c_Relation_Oconverse(_151449, _151451, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_151449, _151451), tc_HOL_Obool), _151453, _151455)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_151451, _151449), tc_HOL_Obool), c_Relation_Oconverse(_151449, _151451, _151453), c_Relation_Oconverse(_151449, _151451, _151455)))], (3160 ^ _83121) ^ [_151525, _151527] : [c_Wellfounded_Oacyclic(_151525, c_Relation_Oconverse(_151525, _151525, _151527)), -(c_Wellfounded_Oacyclic(_151525, _151527))], (3166 ^ _83121) ^ [_151606, _151608] : [c_Wellfounded_Oacyclic(_151606, _151608), -(c_Wellfounded_Oacyclic(_151606, c_Relation_Oconverse(_151606, _151606, _151608)))], (3172 ^ _83121) ^ [_151693, _151695, _151697, _151699] : [class_Lattices_Osemilattice__inf(_151693), -(c_Lattices_Osemilattice__inf__class_Oinf(_151693, c_Lattices_Osemilattice__inf__class_Oinf(_151693, _151695, _151697), _151699) = c_Lattices_Osemilattice__inf__class_Oinf(_151693, _151695, c_Lattices_Osemilattice__inf__class_Oinf(_151693, _151697, _151699)))], (3178 ^ _83121) ^ [_151804, _151806, _151808, _151810] : [class_Lattices_Olattice(_151804), -(c_Lattices_Osemilattice__inf__class_Oinf(_151804, c_Lattices_Osemilattice__inf__class_Oinf(_151804, _151806, _151808), _151810) = c_Lattices_Osemilattice__inf__class_Oinf(_151804, _151806, c_Lattices_Osemilattice__inf__class_Oinf(_151804, _151808, _151810)))], (3184 ^ _83121) ^ [_151915, _151917, _151919, _151921] : [class_Lattices_Osemilattice__inf(_151915), -(c_Lattices_Osemilattice__inf__class_Oinf(_151915, c_Lattices_Osemilattice__inf__class_Oinf(_151915, _151917, _151919), _151921) = c_Lattices_Osemilattice__inf__class_Oinf(_151915, _151917, c_Lattices_Osemilattice__inf__class_Oinf(_151915, _151919, _151921)))], (3190 ^ _83121) ^ [_152026, _152028, _152030, _152032] : [class_Lattices_Osemilattice__inf(_152026), -(c_Lattices_Osemilattice__inf__class_Oinf(_152026, _152028, c_Lattices_Osemilattice__inf__class_Oinf(_152026, _152030, _152032)) = c_Lattices_Osemilattice__inf__class_Oinf(_152026, _152030, c_Lattices_Osemilattice__inf__class_Oinf(_152026, _152028, _152032)))], (3196 ^ _83121) ^ [_152137, _152139, _152141, _152143] : [class_Lattices_Olattice(_152137), -(c_Lattices_Osemilattice__inf__class_Oinf(_152137, _152139, c_Lattices_Osemilattice__inf__class_Oinf(_152137, _152141, _152143)) = c_Lattices_Osemilattice__inf__class_Oinf(_152137, _152141, c_Lattices_Osemilattice__inf__class_Oinf(_152137, _152139, _152143)))], (3202 ^ _83121) ^ [_152248, _152250, _152252, _152254] : [class_Lattices_Osemilattice__inf(_152248), -(c_Lattices_Osemilattice__inf__class_Oinf(_152248, _152250, c_Lattices_Osemilattice__inf__class_Oinf(_152248, _152252, _152254)) = c_Lattices_Osemilattice__inf__class_Oinf(_152248, _152252, c_Lattices_Osemilattice__inf__class_Oinf(_152248, _152250, _152254)))], (3208 ^ _83121) ^ [_152359, _152361, _152363] : [class_Lattices_Osemilattice__inf(_152359), -(c_Lattices_Osemilattice__inf__class_Oinf(_152359, _152361, c_Lattices_Osemilattice__inf__class_Oinf(_152359, _152361, _152363)) = c_Lattices_Osemilattice__inf__class_Oinf(_152359, _152361, _152363))], (3214 ^ _83121) ^ [_152460, _152462, _152464] : [class_Lattices_Olattice(_152460), -(c_Lattices_Osemilattice__inf__class_Oinf(_152460, _152462, c_Lattices_Osemilattice__inf__class_Oinf(_152460, _152462, _152464)) = c_Lattices_Osemilattice__inf__class_Oinf(_152460, _152462, _152464))], (3220 ^ _83121) ^ [_152561, _152563, _152565] : [class_Lattices_Osemilattice__inf(_152561), -(c_Lattices_Osemilattice__inf__class_Oinf(_152561, _152563, c_Lattices_Osemilattice__inf__class_Oinf(_152561, _152563, _152565)) = c_Lattices_Osemilattice__inf__class_Oinf(_152561, _152563, _152565))], (3226 ^ _83121) ^ [_152662, _152664, _152666] : [class_Lattices_Osemilattice__inf(_152662), -(c_Lattices_Osemilattice__inf__class_Oinf(_152662, _152664, _152666) = c_Lattices_Osemilattice__inf__class_Oinf(_152662, _152666, _152664))], (3232 ^ _83121) ^ [_152755, _152757, _152759] : [class_Lattices_Olattice(_152755), -(c_Lattices_Osemilattice__inf__class_Oinf(_152755, _152757, _152759) = c_Lattices_Osemilattice__inf__class_Oinf(_152755, _152759, _152757))], (3238 ^ _83121) ^ [_152848, _152850, _152852] : [class_Lattices_Osemilattice__inf(_152848), -(c_Lattices_Osemilattice__inf__class_Oinf(_152848, _152850, _152852) = c_Lattices_Osemilattice__inf__class_Oinf(_152848, _152852, _152850))], (3244 ^ _83121) ^ [_152941, _152943] : [class_Lattices_Osemilattice__inf(_152941), -(c_Lattices_Osemilattice__inf__class_Oinf(_152941, _152943, _152943) = _152943)], (3250 ^ _83121) ^ [_153024, _153026] : [class_Lattices_Osemilattice__inf(_153024), -(c_Lattices_Osemilattice__inf__class_Oinf(_153024, _153026, _153026) = _153026)], (3256 ^ _83121) ^ [_153107, _153109, _153111] : [c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_153107, _153107), tc_HOL_Obool), c_Relation_Oconverse(_153107, _153107, _153109), c_Transitive__Closure_Ortrancl(_153107, _153109)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_153107, _153107), tc_HOL_Obool)), hBOOL(hAPP(hAPP(c_member(tc_prod(_153107, _153107)), hAPP(hAPP(c_Product__Type_OPair(_153107, _153107), _153111), _153111)), c_Transitive__Closure_Otrancl(_153107, _153109)))], (3262 ^ _83121) ^ [_153277, _153279] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_153277, _153277)), hAPP(hAPP(c_Product__Type_OPair(_153277, _153277), 3263 ^ [_153277, _153279]), 3263 ^ [_153277, _153279])), c_Transitive__Closure_Otrancl(_153277, _153279)))), -(c_Wellfounded_Oacyclic(_153277, _153279))], (3269 ^ _83121) ^ [_153370, _153372, _153374, _153376] : [c_Wellfounded_Oacyclic(_153370, hAPP(hAPP(c_Set_Oinsert(tc_prod(_153370, _153370)), hAPP(hAPP(c_Product__Type_OPair(_153370, _153370), _153372), _153374)), _153376)), 3272 ^ _83121 : [(3273 ^ _83121) ^ [] : [-(c_Wellfounded_Oacyclic(_153370, _153376))], (3275 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_153370, _153370)), hAPP(hAPP(c_Product__Type_OPair(_153370, _153370), _153374), _153372)), c_Transitive__Closure_Ortrancl(_153370, _153376)))]]], (3277 ^ _83121) ^ [_153565, _153567, _153569, _153571] : [-(c_Wellfounded_Oacyclic(_153565, hAPP(hAPP(c_Set_Oinsert(tc_prod(_153565, _153565)), hAPP(hAPP(c_Product__Type_OPair(_153565, _153565), _153567), _153569)), _153571))), c_Wellfounded_Oacyclic(_153565, _153571), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_153565, _153565)), hAPP(hAPP(c_Product__Type_OPair(_153565, _153565), _153569), _153567)), c_Transitive__Closure_Ortrancl(_153565, _153571))))], (3287 ^ _83121) ^ [_153791, _153793, _153795, _153797] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_153791, _153791)), hAPP(hAPP(c_Product__Type_OPair(_153791, _153791), _153793), _153795)), c_Transitive__Closure_Otrancl(_153791, _153797))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_153791, _153791)), hAPP(hAPP(c_Product__Type_OPair(_153791, _153791), _153793), _153795)), _153797))), 3295 ^ _83121 : [(3296 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_153791, _153791)), hAPP(hAPP(c_Product__Type_OPair(_153791, _153791), _153793), 3294 ^ [_153791, _153793, _153795, _153797])), c_Transitive__Closure_Otrancl(_153791, _153797))))], (3298 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_153791, _153791)), hAPP(hAPP(c_Product__Type_OPair(_153791, _153791), 3294 ^ [_153791, _153793, _153795, _153797]), _153795)), _153797)))]]], (3300 ^ _83121) ^ [_154125, _154127, _154129, _154131] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_154125, _154125)), hAPP(hAPP(c_Product__Type_OPair(_154125, _154125), _154127), _154129)), c_Transitive__Closure_Otrancl(_154125, _154131))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_154125, _154125)), hAPP(hAPP(c_Product__Type_OPair(_154125, _154125), _154127), _154129)), _154131))), 3308 ^ _83121 : [(3309 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_154125, _154125)), hAPP(hAPP(c_Product__Type_OPair(_154125, _154125), _154127), 3307 ^ [_154125, _154127, _154129, _154131])), _154131)))], (3311 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_154125, _154125)), hAPP(hAPP(c_Product__Type_OPair(_154125, _154125), 3307 ^ [_154125, _154127, _154129, _154131]), _154129)), c_Transitive__Closure_Otrancl(_154125, _154131))))]]], (3313 ^ _83121) ^ [_154459, _154461, _154463, _154465, _154467, _154469] : [hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_154459, tc_fun(_154461, tc_HOL_Obool)), _154463, _154465), _154467), _154469)), 3316 ^ _83121 : [(3317 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(_154463, _154467), _154469)))], (3319 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(_154465, _154467), _154469)))]]], (3321 ^ _83121) ^ [_154624, _154626, _154628, _154630, _154632, _154634] : [hBOOL(hAPP(hAPP(_154624, _154626), _154628)), hBOOL(hAPP(hAPP(_154630, _154626), _154628)), -(hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_154632, tc_fun(_154634, tc_HOL_Obool)), _154624, _154630), _154626), _154628)))], (3331 ^ _83121) ^ [_154831, _154833] : [hBOOL(hAPP(hAPP(c_member(_154831), _154833), c_Orderings_Obot__class_Obot(tc_fun(_154831, tc_HOL_Obool))))], (3333 ^ _83121) ^ [_154868, _154870, _154872, _154874] : [3334 ^ _83121 : [(3335 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_154868), _154870), _154872))], (3337 ^ _83121) ^ [] : [_154870 = _154874]], -(hBOOL(hAPP(hAPP(c_member(_154868), _154870), hAPP(hAPP(c_Set_Oinsert(_154868), _154874), _154872))))], (3341 ^ _83121) ^ [_155033, _155035, _155037, _155039] : [hBOOL(hAPP(hAPP(c_member(_155033), _155035), hAPP(hAPP(c_Set_Oinsert(_155033), _155037), _155039))), -(_155035 = _155037), -(hBOOL(hAPP(hAPP(c_member(_155033), _155035), _155039)))], (3351 ^ _83121) ^ [_155173, _155175, _155177, _155179, _155181, _155183] : [hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_155173, tc_fun(_155175, tc_HOL_Obool)), _155177, _155179), _155181), _155183)), -(hBOOL(hAPP(hAPP(_155179, _155181), _155183)))], (3357 ^ _83121) ^ [_155298, _155300, _155302, _155304, _155306, _155308] : [hBOOL(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_155298, tc_fun(_155300, tc_HOL_Obool)), _155302, _155304), _155306), _155308)), -(hBOOL(hAPP(hAPP(_155302, _155306), _155308)))], (3363 ^ _83121) ^ [_155423, _155425, _155427, _155429, _155431] : [-(c_Relation_ODomain(_155423, _155425, hAPP(hAPP(c_Set_Oinsert(tc_prod(_155423, _155425)), hAPP(hAPP(c_Product__Type_OPair(_155423, _155425), _155427), _155429)), _155431)) = hAPP(hAPP(c_Set_Oinsert(_155423), _155427), c_Relation_ODomain(_155423, _155425, _155431)))], (3365 ^ _83121) ^ [_155490, _155492, _155494, _155496, _155498] : [-(c_Relation_ORange(_155490, _155492, hAPP(hAPP(c_Set_Oinsert(tc_prod(_155490, _155492)), hAPP(hAPP(c_Product__Type_OPair(_155490, _155492), _155494), _155496)), _155498)) = hAPP(hAPP(c_Set_Oinsert(_155492), _155496), c_Relation_ORange(_155490, _155492, _155498)))], (3367 ^ _83121) ^ [_155557, _155559, _155561] : [-(hBOOL(hAPP(hAPP(c_member(_155557), _155559), hAPP(hAPP(c_Set_Oinsert(_155557), _155559), _155561))))], (3379 ^ _83121) ^ [_155754, _155756, _155758, _155760] : [3380 ^ _83121 : [(3381 ^ _83121) ^ [] : [_155756 = _155758], (3383 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_155754), _155756), _155760))]], -(hBOOL(hAPP(hAPP(c_member(_155754), _155756), hAPP(hAPP(c_Set_Oinsert(_155754), _155758), _155760))))], (3369 ^ _83121) ^ [_155620, _155622, _155624, _155626] : [hBOOL(hAPP(hAPP(c_member(_155620), _155622), hAPP(hAPP(c_Set_Oinsert(_155620), _155624), _155626))), -(_155622 = _155624), -(hBOOL(hAPP(hAPP(c_member(_155620), _155622), _155626)))], (3387 ^ _83121) ^ [_155918, _155920, _155922, _155924] : [-(hBOOL(hAPP(hAPP(c_member(_155918), _155920), _155922))), -(hBOOL(hAPP(hAPP(c_member(_155918), _155920), _155924))), 3394 ^ _83121 : [(3395 ^ _83121) ^ [] : [hAPP(hAPP(c_Set_Oinsert(_155918), _155920), _155922) = hAPP(hAPP(c_Set_Oinsert(_155918), _155920), _155924), -(_155922 = _155924)], (3401 ^ _83121) ^ [] : [_155922 = _155924, -(hAPP(hAPP(c_Set_Oinsert(_155918), _155920), _155922) = hAPP(hAPP(c_Set_Oinsert(_155918), _155920), _155924))]]], (3407 ^ _83121) ^ [_156263, _156265, _156267, _156269] : [hBOOL(hAPP(hAPP(c_member(_156263), _156265), _156267)), -(hBOOL(hAPP(hAPP(c_member(_156263), _156265), hAPP(hAPP(c_Set_Oinsert(_156263), _156269), _156267))))], (3413 ^ _83121) ^ [_156388, _156390, _156392] : [hBOOL(hAPP(hAPP(c_member(_156388), _156390), _156392)), -(hAPP(hAPP(c_Set_Oinsert(_156388), _156390), _156392) = _156392)], (3419 ^ _83121) ^ [_156497, _156499, _156501, _156503] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156497, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_156497), _156499), _156501), hAPP(hAPP(c_Set_Oinsert(_156497), _156499), _156503)) = hAPP(hAPP(c_Set_Oinsert(_156497), _156499), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_156497, tc_HOL_Obool), _156501, _156503)))], (3421 ^ _83121) ^ [_156573, _156575] : [-(hBOOL(hAPP(hAPP(c_member(_156573), 3422 ^ [_156573, _156575]), _156575))), -(_156575 = c_Orderings_Obot__class_Obot(tc_fun(_156573, tc_HOL_Obool)))], (3428 ^ _83121) ^ [_156624, _156626] : [_156626 = c_Orderings_Obot__class_Obot(tc_fun(_156624, tc_HOL_Obool)), 3431 ^ _83121 : [(3432 ^ _83121) ^ [_156704] : [hBOOL(hAPP(hAPP(c_member(_156624), _156704), _156626))]]], (3434 ^ _83121) ^ [_156755, _156757] : [3435 ^ _83121 : [(3436 ^ _83121) ^ [_156808] : [hBOOL(hAPP(hAPP(c_member(_156755), _156808), _156757))]], _156757 = c_Orderings_Obot__class_Obot(tc_fun(_156755, tc_HOL_Obool))], (3440 ^ _83121) ^ [_156864, _156866] : [-(_156866 = c_Orderings_Obot__class_Obot(tc_fun(_156864, tc_HOL_Obool))), -(hBOOL(hAPP(hAPP(c_member(_156864), 3443 ^ [_156864, _156866]), _156866)))], (3447 ^ _83121) ^ [_156933, _156935] : [hBOOL(hAPP(hAPP(c_member(_156933), _156935), c_Orderings_Obot__class_Obot(tc_fun(_156933, tc_HOL_Obool))))], (3449 ^ _83121) ^ [_156970, _156972, _156974] : [_156970 = c_Orderings_Obot__class_Obot(tc_fun(_156972, tc_HOL_Obool)), hBOOL(hAPP(hAPP(c_member(_156972), _156974), _156970))], (3455 ^ _83121) ^ [_157070, _157072, _157074] : [-(_157070 = c_Orderings_Obot__class_Obot(tc_fun(_157072, tc_HOL_Obool))), -(c_FuncSet_Oextensional__funcset(_157072, _157074, _157070, c_Orderings_Obot__class_Obot(tc_fun(_157074, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_157072, _157074), tc_HOL_Obool)))], (3461 ^ _83121) ^ [_157152, _157154, _157156, _157158] : [c_FuncSet_OPi(_157152, _157154, _157156, _157158) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_157152, _157154), tc_HOL_Obool)), 3465 ^ _83121 : [(3466 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_157152), 3464 ^ [_157152, _157154, _157156, _157158]), _157156)))], (3468 ^ _83121) ^ [] : [-(hAPP(_157158, 3464 ^ [_157152, _157154, _157156, _157158]) = c_Orderings_Obot__class_Obot(tc_fun(_157154, tc_HOL_Obool)))]]], (3470 ^ _83121) ^ [_157338, _157340, _157342, _157344] : [-(c_FuncSet_OPi(_157338, _157340, _157342, _157344) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_157338, _157340), tc_HOL_Obool))), 3471 ^ _83121 : [(3472 ^ _83121) ^ [_157410] : [hBOOL(hAPP(hAPP(c_member(_157338), _157410), _157342)), hAPP(_157344, _157410) = c_Orderings_Obot__class_Obot(tc_fun(_157340, tc_HOL_Obool))]]], (3480 ^ _83121) ^ [_157565] : [-(c_Relation_OId__on(_157565, c_Orderings_Obot__class_Obot(tc_fun(_157565, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_157565, _157565), tc_HOL_Obool)))], (3482 ^ _83121) ^ [_157604, _157606, _157608] : [hBOOL(hAPP(hAPP(c_member(_157604), _157606), hAPP(hAPP(c_Set_Oinsert(_157604), _157608), c_Orderings_Obot__class_Obot(tc_fun(_157604, tc_HOL_Obool))))), -(_157606 = _157608)], (3488 ^ _83121) ^ [_157741, _157743, _157745] : [hBOOL(hAPP(hAPP(c_member(_157741), _157743), hAPP(hAPP(c_Set_Oinsert(_157741), _157745), c_Orderings_Obot__class_Obot(tc_fun(_157741, tc_HOL_Obool))))), -(_157743 = _157745)], (3494 ^ _83121) ^ [_157856, _157858, _157860] : [_157858 = _157860, -(hBOOL(hAPP(hAPP(c_member(_157856), _157858), hAPP(hAPP(c_Set_Oinsert(_157856), _157860), c_Orderings_Obot__class_Obot(tc_fun(_157856, tc_HOL_Obool))))))], (3500 ^ _83121) ^ [_157977, _157979, _157981] : [hAPP(hAPP(c_Set_Oinsert(_157977), _157979), c_Orderings_Obot__class_Obot(tc_fun(_157977, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(_157977), _157981), c_Orderings_Obot__class_Obot(tc_fun(_157977, tc_HOL_Obool))), -(_157979 = _157981)], (3516 ^ _83121) ^ [_158243, _158245, _158247, _158249] : [3517 ^ _83121 : [(3518 ^ _83121) ^ [] : [_158245 = _158249], (3520 ^ _83121) ^ [] : [hBOOL(hAPP(_158247, _158249))]], -(hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_158243), _158245), _158247), _158249)))], (3506 ^ _83121) ^ [_158129, _158131, _158133, _158135] : [hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_158129), _158131), _158133), _158135)), -(_158131 = _158135), -(hBOOL(hAPP(_158133, _158135)))], (3524 ^ _83121) ^ [_158412, _158414, _158416, _158418, _158420] : [hAPP(hAPP(c_Set_Oinsert(_158412), _158414), hAPP(hAPP(c_Set_Oinsert(_158412), _158416), c_Orderings_Obot__class_Obot(tc_fun(_158412, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_158412), _158418), hAPP(hAPP(c_Set_Oinsert(_158412), _158420), c_Orderings_Obot__class_Obot(tc_fun(_158412, tc_HOL_Obool)))), 3529 ^ _83121 : [(3530 ^ _83121) ^ [] : [-(_158414 = _158418)], (3532 ^ _83121) ^ [] : [-(_158416 = _158420)]], 3533 ^ _83121 : [(3534 ^ _83121) ^ [] : [-(_158414 = _158420)], (3536 ^ _83121) ^ [] : [-(_158416 = _158418)]]], (3538 ^ _83121) ^ [_158674, _158676, _158678, _158680, _158682] : [-(hAPP(hAPP(c_Set_Oinsert(_158674), _158676), hAPP(hAPP(c_Set_Oinsert(_158674), _158678), c_Orderings_Obot__class_Obot(tc_fun(_158674, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_158674), _158680), hAPP(hAPP(c_Set_Oinsert(_158674), _158682), c_Orderings_Obot__class_Obot(tc_fun(_158674, tc_HOL_Obool))))), 3539 ^ _83121 : [(3540 ^ _83121) ^ [] : [_158676 = _158680, _158678 = _158682], (3546 ^ _83121) ^ [] : [_158676 = _158682, _158678 = _158680]]], (3554 ^ _83121) ^ [_158990, _158992, _158994, _158996] : [-(hAPP(hAPP(c_Set_Oinsert(_158990), _158992), hAPP(hAPP(c_Set_Oinsert(_158990), _158994), _158996)) = hAPP(hAPP(c_Set_Oinsert(_158990), _158994), hAPP(hAPP(c_Set_Oinsert(_158990), _158992), _158996)))], (3556 ^ _83121) ^ [_159051, _159053, _159055] : [-(hAPP(hAPP(c_Set_Oinsert(_159051), _159053), hAPP(hAPP(c_Set_Oinsert(_159051), _159053), _159055)) = hAPP(hAPP(c_Set_Oinsert(_159051), _159053), _159055))], (3558 ^ _83121) ^ [_159117, _159119, _159121] : [hAPP(hAPP(c_Set_Oinsert(_159117), _159119), _159121) = c_Orderings_Obot__class_Obot(tc_fun(_159117, tc_HOL_Obool))], (3560 ^ _83121) ^ [_159172, _159174, _159176] : [c_Orderings_Obot__class_Obot(tc_fun(_159172, tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oinsert(_159172), _159174), _159176)], (3562 ^ _83121) ^ [_159212, _159214] : [-(c_Relation_ORange(_159212, _159214, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_159212, _159214), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_159214, tc_HOL_Obool)))], (3564 ^ _83121) ^ [_159272, _159274, _159276] : [c_Relation_ORange(_159272, _159274, _159276) = c_Orderings_Obot__class_Obot(tc_fun(_159274, tc_HOL_Obool)), -(_159276 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_159272, _159274), tc_HOL_Obool)))], (3570 ^ _83121) ^ [_159381, _159383, _159385] : [_159385 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_159381, _159383), tc_HOL_Obool)), -(c_Relation_ORange(_159381, _159383, _159385) = c_Orderings_Obot__class_Obot(tc_fun(_159383, tc_HOL_Obool)))], (3576 ^ _83121) ^ [_159496, _159498] : [-(c_Relation_ODomain(_159496, _159498, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_159496, _159498), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_159496, tc_HOL_Obool)))], (3578 ^ _83121) ^ [_159556, _159558, _159560] : [c_Relation_ODomain(_159556, _159558, _159560) = c_Orderings_Obot__class_Obot(tc_fun(_159556, tc_HOL_Obool)), -(_159560 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_159556, _159558), tc_HOL_Obool)))], (3584 ^ _83121) ^ [_159665, _159667, _159669] : [_159669 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_159665, _159667), tc_HOL_Obool)), -(c_Relation_ODomain(_159665, _159667, _159669) = c_Orderings_Obot__class_Obot(tc_fun(_159665, tc_HOL_Obool)))], (3590 ^ _83121) ^ [_159780] : [-(c_Relation_Orefl__on(_159780, c_Orderings_Obot__class_Obot(tc_fun(_159780, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_159780, _159780), tc_HOL_Obool))))], (3606 ^ _83121) ^ [_160141, _160143, _160145] : [3608 ^ _83121 : [(3609 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_160141), 3607 ^ [_160141, _160143, _160145]), _160143)))], (3612 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_160141), 3610 ^ [_160141, _160143, _160145]), _160145)))], (3614 ^ _83121) ^ [] : [-(3607 ^ [_160141, _160143, _160145] = 3610 ^ [_160141, _160143, _160145])]], -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_160141, tc_HOL_Obool), _160143, _160145) = c_Orderings_Obot__class_Obot(tc_fun(_160141, tc_HOL_Obool)))], (3592 ^ _83121) ^ [_159835, _159837, _159839] : [c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_159835, tc_HOL_Obool), _159837, _159839) = c_Orderings_Obot__class_Obot(tc_fun(_159835, tc_HOL_Obool)), 3595 ^ _83121 : [(3596 ^ _83121) ^ [_159951] : [hBOOL(hAPP(hAPP(c_member(_159835), _159951), _159837)), 3599 ^ _83121 : [(3600 ^ _83121) ^ [_160041] : [hBOOL(hAPP(hAPP(c_member(_159835), _160041), _159839)), _159951 = _160041]]]]], (3618 ^ _83121) ^ [_160298, _160300] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_160298, tc_HOL_Obool), _160300, c_Orderings_Obot__class_Obot(tc_fun(_160298, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_160298, tc_HOL_Obool)))], (3620 ^ _83121) ^ [_160340, _160342] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_160340, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(_160340, tc_HOL_Obool)), _160342) = c_Orderings_Obot__class_Obot(tc_fun(_160340, tc_HOL_Obool)))], (3622 ^ _83121) ^ [_160382] : [-(c_Transitive__Closure_Otrancl(_160382, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_160382, _160382), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_160382, _160382), tc_HOL_Obool)))], (3624 ^ _83121) ^ [_160439, _160441] : [hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_160439, tc_HOL_Obool)), _160441)), -(hBOOL(hAPP(hAPP(c_member(_160439), _160441), c_Orderings_Obot__class_Obot(tc_fun(_160439, tc_HOL_Obool)))))], (3630 ^ _83121) ^ [_160550, _160552] : [hBOOL(hAPP(hAPP(c_member(_160550), _160552), c_Orderings_Obot__class_Obot(tc_fun(_160550, tc_HOL_Obool)))), -(hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_160550, tc_HOL_Obool)), _160552)))], (3636 ^ _83121) ^ [_160667, _160669] : [-(c_Relation_Ototal__on(_160667, c_Orderings_Obot__class_Obot(tc_fun(_160667, tc_HOL_Obool)), _160669))], (3638 ^ _83121) ^ [_160698, _160700] : [class_Lattices_Obounded__lattice__bot(_160698), -(c_Lattices_Osemilattice__inf__class_Oinf(_160698, _160700, c_Orderings_Obot__class_Obot(_160698)) = c_Orderings_Obot__class_Obot(_160698))], (3644 ^ _83121) ^ [_160789, _160791] : [class_Lattices_Obounded__lattice__bot(_160789), -(c_Lattices_Osemilattice__inf__class_Oinf(_160789, c_Orderings_Obot__class_Obot(_160789), _160791) = c_Orderings_Obot__class_Obot(_160789))], (3650 ^ _83121) ^ [_160880, _160882, _160884, _160886] : [hBOOL(hAPP(hAPP(c_member(_160880), _160882), _160884)), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_160880, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_160880), _160882), _160886), _160884) = hAPP(hAPP(c_Set_Oinsert(_160880), _160882), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_160880, tc_HOL_Obool), _160886, _160884)))], (3656 ^ _83121) ^ [_161035, _161037, _161039, _161041] : [hBOOL(hAPP(hAPP(c_member(_161035), _161037), _161039)), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_161035, tc_HOL_Obool), _161039, hAPP(hAPP(c_Set_Oinsert(_161035), _161037), _161041)) = hAPP(hAPP(c_Set_Oinsert(_161035), _161037), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_161035, tc_HOL_Obool), _161039, _161041)))], (3662 ^ _83121) ^ [_161186, _161188, _161190, _161192] : [-(hBOOL(hAPP(hAPP(c_member(_161186), _161188), _161190))), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_161186, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_161186), _161188), _161192), _161190) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_161186, tc_HOL_Obool), _161192, _161190))], (3668 ^ _83121) ^ [_161251, _161253, _161255, _161257] : [-(hBOOL(hAPP(hAPP(c_member(_161251), _161253), _161255))), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_161251, tc_HOL_Obool), _161255, hAPP(hAPP(c_Set_Oinsert(_161251), _161253), _161257)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_161251, tc_HOL_Obool), _161255, _161257))], (3674 ^ _83121) ^ [_161335, _161337, _161339, _161341] : [hBOOL(hAPP(hAPP(c_member(_161335), _161337), _161339)), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_161335, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_161335), _161337), _161341), _161339) = hAPP(hAPP(c_Set_Oinsert(_161335), _161337), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_161335, tc_HOL_Obool), _161341, _161339)))], (3680 ^ _83121) ^ [_161484, _161486, _161488, _161490] : [-(hBOOL(hAPP(hAPP(c_member(_161484), _161486), _161488))), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_161484, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_161484), _161486), _161490), _161488) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_161484, tc_HOL_Obool), _161490, _161488))], (3686 ^ _83121) ^ [_161570, _161572, _161574, _161576] : [hBOOL(hAPP(hAPP(c_member(_161570), _161572), _161574)), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_161570, tc_HOL_Obool), _161574, hAPP(hAPP(c_Set_Oinsert(_161570), _161572), _161576)) = hAPP(hAPP(c_Set_Oinsert(_161570), _161572), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_161570, tc_HOL_Obool), _161574, _161576)))], (3692 ^ _83121) ^ [_161719, _161721, _161723, _161725] : [-(hBOOL(hAPP(hAPP(c_member(_161719), _161721), _161723))), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_161719, tc_HOL_Obool), _161723, hAPP(hAPP(c_Set_Oinsert(_161719), _161721), _161725)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_161719, tc_HOL_Obool), _161723, _161725))], (3698 ^ _83121) ^ [_161790, _161792] : [-(c_Set_Othe__elem(_161790, hAPP(hAPP(c_Set_Oinsert(_161790), _161792), c_Orderings_Obot__class_Obot(tc_fun(_161790, tc_HOL_Obool)))) = _161792)], (3700 ^ _83121) ^ [_161831, _161833, _161835] : [class_Orderings_Obot(_161831), -(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_161833, _161831)), _161835) = c_Orderings_Obot__class_Obot(_161831))], (3706 ^ _83121) ^ [_161928, _161930, _161932] : [class_Orderings_Obot(_161928), -(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_161930, _161928)), _161932) = c_Orderings_Obot__class_Obot(_161928))], (3712 ^ _83121) ^ [_162024, _162026, _162028, _162030, _162032, _162034] : [-(hBOOL(hAPP(hAPP(c_member(_162024), _162026), _162028))), hBOOL(hAPP(hAPP(c_member(tc_fun(_162024, _162030)), _162032), c_FuncSet_Oextensional__funcset(_162024, _162030, hAPP(hAPP(c_Set_Oinsert(_162024), _162026), _162028), _162034))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_162024, _162030)), c_Fun_Ofun__upd(_162024, _162030, _162032, _162026, c_HOL_Oundefined(_162030))), c_FuncSet_Oextensional__funcset(_162024, _162030, _162028, _162034))))], (3722 ^ _83121) ^ [_162266, _162268, _162270] : [-(c_FuncSet_Oextensional__funcset(_162266, _162268, c_Orderings_Obot__class_Obot(tc_fun(_162266, tc_HOL_Obool)), _162270) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_162266, _162268)), c_COMBK(_162268, _162266, c_HOL_Oundefined(_162268))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_162266, _162268), tc_HOL_Obool))))], (3724 ^ _83121) ^ [_162328, _162330] : [-(c_FuncSet_Oextensional(_162328, _162330, c_Orderings_Obot__class_Obot(tc_fun(_162328, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_162328, _162330)), c_COMBK(_162330, _162328, c_HOL_Oundefined(_162330))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_162328, _162330), tc_HOL_Obool))))], (3726 ^ _83121) ^ [_162408, _162410, _162412, _162414] : [hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_162408, tc_fun(_162410, tc_HOL_Obool))), _162412), _162414)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_162408, _162410)), hAPP(hAPP(c_Product__Type_OPair(_162408, _162410), _162412), _162414)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_162408, _162410), tc_HOL_Obool)))))], (3732 ^ _83121) ^ [_162565, _162567, _162569, _162571] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_162565, _162567)), hAPP(hAPP(c_Product__Type_OPair(_162565, _162567), _162569), _162571)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_162565, _162567), tc_HOL_Obool)))), -(hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_162565, tc_fun(_162567, tc_HOL_Obool))), _162569), _162571)))], (3738 ^ _83121) ^ [_162728, _162730, _162732, _162734, _162736, _162738, _162740] : [hBOOL(hAPP(hAPP(c_member(_162728), _162730), _162732)), hBOOL(hAPP(hAPP(c_member(tc_fun(_162734, _162728)), _162736), c_FuncSet_Oextensional__funcset(_162734, _162728, _162738, _162732))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_162734, _162728)), c_Fun_Ofun__upd(_162734, _162728, _162736, _162740, _162730)), c_FuncSet_Oextensional__funcset(_162734, _162728, hAPP(hAPP(c_Set_Oinsert(_162734), _162740), _162738), _162732))))], (3748 ^ _83121) ^ [_162979, _162981, _162983, _162985] : [-(c_Fun_Ofun__upd(_162979, _162981, _162983, _162985, hAPP(_162983, _162985)) = _162983)], (3750 ^ _83121) ^ [_163017, _163019, _163021, _163023, _163025, _163027, _163029] : [hBOOL(hAPP(hAPP(c_member(_163017), _163019), _163021)), hBOOL(hAPP(hAPP(c_member(tc_fun(_163023, _163017)), _163025), c_FuncSet_Oextensional__funcset(_163023, _163017, _163027, c_Groups_Ominus__class_Ominus(tc_fun(_163017, tc_HOL_Obool), _163021, hAPP(hAPP(c_Set_Oinsert(_163017), _163019), c_Orderings_Obot__class_Obot(tc_fun(_163017, tc_HOL_Obool))))))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_163023, _163017)), c_Fun_Ofun__upd(_163023, _163017, _163025, _163029, _163019)), c_FuncSet_Oextensional__funcset(_163023, _163017, hAPP(hAPP(c_Set_Oinsert(_163023), _163029), _163027), _163021))))], (3760 ^ _83121) ^ [_163308, _163310] : [-(c_Set_Othe__elem(_163308, _163310) = c_HOL_OThe(_163308, hAPP(c_COMBB(tc_fun(_163308, tc_HOL_Obool), tc_HOL_Obool, _163308, hAPP(c_fequal, _163310)), hAPP(hAPP(c_COMBC(_163308, tc_fun(_163308, tc_HOL_Obool), tc_fun(_163308, tc_HOL_Obool)), c_Set_Oinsert(_163308)), c_Orderings_Obot__class_Obot(tc_fun(_163308, tc_HOL_Obool))))))], (3762 ^ _83121) ^ [_163397, _163399, _163401, _163403, _163405, _163407] : [_163397 = _163399, -(hAPP(c_Fun_Ofun__upd(_163401, _163403, _163405, _163399, _163407), _163397) = _163407)], (3768 ^ _83121) ^ [_163494, _163496, _163498, _163500, _163502, _163504] : [-(_163494 = _163496), -(hAPP(c_Fun_Ofun__upd(_163498, _163500, _163502, _163496, _163504), _163494) = hAPP(_163502, _163494))], (3774 ^ _83121) ^ [_163552, _163554, _163556, _163558] : [hBOOL(hAPP(hAPP(c_member(_163552), _163554), _163556)), -(hBOOL(hAPP(hAPP(c_member(_163552), _163554), _163558))), -(hBOOL(hAPP(hAPP(c_member(_163552), _163554), c_Groups_Ominus__class_Ominus(tc_fun(_163552, tc_HOL_Obool), _163556, _163558))))], (3784 ^ _83121) ^ [_163704, _163706, _163708, _163710] : [hBOOL(hAPP(hAPP(c_member(_163704), _163706), c_Groups_Ominus__class_Ominus(tc_fun(_163704, tc_HOL_Obool), _163708, _163710))), 3787 ^ _83121 : [(3788 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_163704), _163706), _163708)))], (3790 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_163704), _163706), _163710))]]], (3792 ^ _83121) ^ [_163893, _163895, _163897, _163899] : [hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_163893, tc_fun(_163895, tc_HOL_Obool))), _163897), _163899))], (3794 ^ _83121) ^ [_163935, _163937] : [-(c_Groups_Ominus__class_Ominus(tc_fun(_163935, tc_HOL_Obool), _163937, _163937) = c_Orderings_Obot__class_Obot(tc_fun(_163935, tc_HOL_Obool)))], (3796 ^ _83121) ^ [_163972, _163974] : [-(c_Groups_Ominus__class_Ominus(tc_fun(_163972, tc_HOL_Obool), _163974, c_Orderings_Obot__class_Obot(tc_fun(_163972, tc_HOL_Obool))) = _163974)], (3798 ^ _83121) ^ [_164009, _164011] : [-(c_Groups_Ominus__class_Ominus(tc_fun(_164009, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(_164009, tc_HOL_Obool)), _164011) = c_Orderings_Obot__class_Obot(tc_fun(_164009, tc_HOL_Obool)))], (3800 ^ _83121) ^ [_164051, _164053, _164055, _164057, _164059] : [class_Groups_Ominus(_164051), -(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_164053, _164051), _164055, _164057), _164059) = c_Groups_Ominus__class_Ominus(_164051, hAPP(_164055, _164059), hAPP(_164057, _164059)))], (3806 ^ _83121) ^ [_164172, _164174, _164176, _164178, _164180] : [class_Groups_Ominus(_164172), -(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_164174, _164172), _164176, _164178), _164180) = c_Groups_Ominus__class_Ominus(_164172, hAPP(_164176, _164180), hAPP(_164178, _164180)))], (3812 ^ _83121) ^ [_164314, _164316, _164318, _164320] : [hBOOL(hAPP(hAPP(c_member(_164314), _164316), c_Groups_Ominus__class_Ominus(tc_fun(_164314, tc_HOL_Obool), _164318, _164320))), 3815 ^ _83121 : [(3816 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_164314), _164316), _164318)))], (3818 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_164314), _164316), _164320))]]], (3820 ^ _83121) ^ [_164481, _164483, _164485, _164487] : [-(hBOOL(hAPP(hAPP(c_member(_164481), _164483), c_Groups_Ominus__class_Ominus(tc_fun(_164481, tc_HOL_Obool), _164485, _164487)))), hBOOL(hAPP(hAPP(c_member(_164481), _164483), _164485)), -(hBOOL(hAPP(hAPP(c_member(_164481), _164483), _164487)))], (3830 ^ _83121) ^ [_164679, _164681, _164683, _164685] : [hBOOL(hAPP(hAPP(c_member(_164679), _164681), c_Groups_Ominus__class_Ominus(tc_fun(_164679, tc_HOL_Obool), _164683, _164685))), -(hBOOL(hAPP(hAPP(c_member(_164679), _164681), _164683)))], (3836 ^ _83121) ^ [_164802, _164804, _164806, _164808] : [hBOOL(hAPP(hAPP(c_member(_164802), _164804), c_Groups_Ominus__class_Ominus(tc_fun(_164802, tc_HOL_Obool), _164806, _164808))), hBOOL(hAPP(hAPP(c_member(_164802), _164804), _164808))], (3842 ^ _83121) ^ [_164926, _164928, _164930] : [-(c_Groups_Ominus__class_Ominus(tc_fun(_164926, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_164926, tc_HOL_Obool), _164928, _164930), _164930) = c_Groups_Ominus__class_Ominus(tc_fun(_164926, tc_HOL_Obool), _164928, _164930))], (3844 ^ _83121) ^ [_164974, _164976, _164978, _164980] : [-(c_Groups_Ominus__class_Ominus(tc_fun(_164974, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_164974, tc_HOL_Obool), _164976, _164978), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_164974, tc_HOL_Obool), _164980, _164978)) = c_Groups_Ominus__class_Ominus(tc_fun(_164974, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_164974, tc_HOL_Obool), _164976, _164978), _164980))], (3846 ^ _83121) ^ [_165038, _165040, _165042, _165044] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_165038, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_165038, tc_HOL_Obool), _165040, _165042), _165044) = c_Groups_Ominus__class_Ominus(tc_fun(_165038, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_165038, tc_HOL_Obool), _165040, _165044), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_165038, tc_HOL_Obool), _165042, _165044)))], (3848 ^ _83121) ^ [_165102, _165104, _165106, _165108] : [-(c_Groups_Ominus__class_Ominus(tc_fun(_165102, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_165102, tc_HOL_Obool), _165104, _165106), _165108) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_165102, tc_HOL_Obool), _165104, c_Groups_Ominus__class_Ominus(tc_fun(_165102, tc_HOL_Obool), _165106, _165108)))], (3850 ^ _83121) ^ [_165159, _165161, _165163, _165165] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_165159, tc_HOL_Obool), _165161, c_Groups_Ominus__class_Ominus(tc_fun(_165159, tc_HOL_Obool), _165163, _165165)) = c_Groups_Ominus__class_Ominus(tc_fun(_165159, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_165159, tc_HOL_Obool), _165161, _165163), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_165159, tc_HOL_Obool), _165161, _165165)))], (3852 ^ _83121) ^ [_165223, _165225, _165227, _165229] : [hBOOL(hAPP(hAPP(c_member(_165223), _165225), _165227)), -(c_Groups_Ominus__class_Ominus(tc_fun(_165223, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_165223), _165225), _165229), _165227) = c_Groups_Ominus__class_Ominus(tc_fun(_165223, tc_HOL_Obool), _165229, _165227))], (3858 ^ _83121) ^ [_165377, _165379, _165381, _165383] : [hBOOL(hAPP(hAPP(c_member(_165377), _165379), _165381)), -(c_Groups_Ominus__class_Ominus(tc_fun(_165377, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_165377), _165379), _165383), _165381) = c_Groups_Ominus__class_Ominus(tc_fun(_165377, tc_HOL_Obool), _165383, _165381))], (3864 ^ _83121) ^ [_165510, _165512, _165514, _165516] : [-(hBOOL(hAPP(hAPP(c_member(_165510), _165512), _165514))), -(c_Groups_Ominus__class_Ominus(tc_fun(_165510, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_165510), _165512), _165516), _165514) = hAPP(hAPP(c_Set_Oinsert(_165510), _165512), c_Groups_Ominus__class_Ominus(tc_fun(_165510, tc_HOL_Obool), _165516, _165514)))], (3870 ^ _83121) ^ [_165589, _165591, _165593] : [-(hAPP(hAPP(c_Set_Oinsert(_165589), _165591), c_Groups_Ominus__class_Ominus(tc_fun(_165589, tc_HOL_Obool), _165593, hAPP(hAPP(c_Set_Oinsert(_165589), _165591), c_Orderings_Obot__class_Obot(tc_fun(_165589, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_165589), _165591), _165593))], (3872 ^ _83121) ^ [_165652, _165654, _165656, _165658] : [-(c_Groups_Ominus__class_Ominus(tc_fun(_165652, tc_HOL_Obool), _165654, hAPP(hAPP(c_Set_Oinsert(_165652), _165656), _165658)) = c_Groups_Ominus__class_Ominus(tc_fun(_165652, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_165652, tc_HOL_Obool), _165654, hAPP(hAPP(c_Set_Oinsert(_165652), _165656), c_Orderings_Obot__class_Obot(tc_fun(_165652, tc_HOL_Obool)))), _165658))], (3874 ^ _83121) ^ [_165723, _165725, _165727, _165729] : [-(c_Groups_Ominus__class_Ominus(tc_fun(_165723, tc_HOL_Obool), _165725, hAPP(hAPP(c_Set_Oinsert(_165723), _165727), _165729)) = c_Groups_Ominus__class_Ominus(tc_fun(_165723, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_165723, tc_HOL_Obool), _165725, _165729), hAPP(hAPP(c_Set_Oinsert(_165723), _165727), c_Orderings_Obot__class_Obot(tc_fun(_165723, tc_HOL_Obool)))))], (3876 ^ _83121) ^ [_165794, _165796, _165798] : [c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_165794, tc_HOL_Obool), _165796, _165798) = c_Orderings_Obot__class_Obot(tc_fun(_165794, tc_HOL_Obool)), -(c_Groups_Ominus__class_Ominus(tc_fun(_165794, tc_HOL_Obool), _165796, _165798) = _165796)], (3882 ^ _83121) ^ [_165911, _165913, _165915] : [-(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_165911, tc_HOL_Obool), _165913, c_Groups_Ominus__class_Ominus(tc_fun(_165911, tc_HOL_Obool), _165915, _165913)) = c_Orderings_Obot__class_Obot(tc_fun(_165911, tc_HOL_Obool)))], (3884 ^ _83121) ^ [_165953, _165955, _165957] : [-(hBOOL(hAPP(hAPP(c_member(_165953), _165955), _165957))), -(c_Groups_Ominus__class_Ominus(tc_fun(_165953, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_165953), _165955), _165957), hAPP(hAPP(c_Set_Oinsert(_165953), _165955), c_Orderings_Obot__class_Obot(tc_fun(_165953, tc_HOL_Obool)))) = _165957)], (3890 ^ _83121) ^ [_166026, _166028, _166030] : [hBOOL(hAPP(hAPP(c_member(_166026), _166028), _166030)), -(hAPP(hAPP(c_Set_Oinsert(_166026), _166028), c_Groups_Ominus__class_Ominus(tc_fun(_166026, tc_HOL_Obool), _166030, hAPP(hAPP(c_Set_Oinsert(_166026), _166028), c_Orderings_Obot__class_Obot(tc_fun(_166026, tc_HOL_Obool))))) = _166030)], (3896 ^ _83121) ^ [_166199, _166201, _166203, _166205, _166207] : [c_Fun_Ofun__upd(_166199, _166201, _166203, _166205, _166207) = _166203, -(hAPP(_166203, _166205) = _166207)], (3902 ^ _83121) ^ [_166296, _166298, _166300, _166302, _166304] : [hAPP(_166300, _166302) = _166304, -(c_Fun_Ofun__upd(_166296, _166298, _166300, _166302, _166304) = _166300)], (3908 ^ _83121) ^ [_166399, _166401, _166403, _166405, _166407, _166409] : [-(c_Fun_Ofun__upd(_166399, _166401, c_Fun_Ofun__upd(_166399, _166401, _166403, _166405, _166407), _166405, _166409) = c_Fun_Ofun__upd(_166399, _166401, _166403, _166405, _166409))], (3910 ^ _83121) ^ [_166450, _166452, _166454, _166456, _166458] : [-(hAPP(c_Fun_Ofun__upd(_166450, _166452, _166454, _166456, _166458), _166456) = _166458)], (3912 ^ _83121) ^ [_166511, _166513, _166515, _166517, _166519, _166521] : [_166511 = _166513, -(hAPP(c_Fun_Ofun__upd(_166515, _166517, _166519, _166513, _166521), _166511) = _166521)], (3918 ^ _83121) ^ [_166608, _166610, _166612, _166614, _166616, _166618] : [-(_166608 = _166610), -(hAPP(c_Fun_Ofun__upd(_166612, _166614, _166616, _166610, _166618), _166608) = hAPP(_166616, _166608))], (3924 ^ _83121) ^ [_166662, _166664, _166666, _166668, _166670, _166672, _166674] : [-(_166662 = _166664), -(c_Fun_Ofun__upd(_166666, _166668, c_Fun_Ofun__upd(_166666, _166668, _166670, _166662, _166672), _166664, _166674) = c_Fun_Ofun__upd(_166666, _166668, c_Fun_Ofun__upd(_166666, _166668, _166670, _166664, _166674), _166662, _166672))], (3930 ^ _83121) ^ [_166728, _166730, _166732, _166734, _166736, _166738] : [-(_166728 = _166730), -(hAPP(c_Fun_Ofun__upd(_166732, _166734, _166736, _166730, _166738), _166728) = hAPP(_166736, _166728))], (3936 ^ _83121) ^ [_166784, _166786, _166788, _166790, _166792] : [hAPP(_166784, _166786) = _166788, -(c_Fun_Ofun__upd(_166790, _166792, _166784, _166786, _166788) = _166784)], (3942 ^ _83121) ^ [_166884, _166886, _166888, _166890, _166892, _166894] : [3944 ^ _83121 : [(3945 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_166884), 3943 ^ [_166884, _166886, _166888, _166890, _166892, _166894]), _166886)))], (3947 ^ _83121) ^ [] : [-(hAPP(_166888, _166890) = hAPP(_166888, 3943 ^ [_166884, _166886, _166888, _166890, _166892, _166894]))]], hBOOL(hAPP(hAPP(c_member(tc_fun(_166884, _166892)), _166888), c_FuncSet_Oextensional__funcset(_166884, _166892, hAPP(hAPP(c_Set_Oinsert(_166884), _166890), _166886), _166894))), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_166884, _166892)), c_Fun_Ofun__upd(_166884, _166892, _166888, _166890, c_HOL_Oundefined(_166892))), c_FuncSet_Oextensional__funcset(_166884, _166892, _166886, c_Groups_Ominus__class_Ominus(tc_fun(_166892, tc_HOL_Obool), _166894, hAPP(hAPP(c_Set_Oinsert(_166892), hAPP(_166888, _166890)), c_Orderings_Obot__class_Obot(tc_fun(_166892, tc_HOL_Obool))))))))], (3955 ^ _83121) ^ [_167228, _167230, _167232, _167234, _167236, _167238, _167240] : [hBOOL(hAPP(hAPP(c_member(_167228), _167230), _167232)), c_Nitpick_Ofold__graph_H(_167228, _167234, _167236, _167238, c_Groups_Ominus__class_Ominus(tc_fun(_167228, tc_HOL_Obool), _167232, hAPP(hAPP(c_Set_Oinsert(_167228), _167230), c_Orderings_Obot__class_Obot(tc_fun(_167228, tc_HOL_Obool)))), _167240), -(c_Nitpick_Ofold__graph_H(_167228, _167234, _167236, _167238, _167232, hAPP(hAPP(_167236, _167230), _167240)))], (3965 ^ _83121) ^ [_167459, _167461, _167463, _167465, _167467, _167469, _167471] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_167459, _167461)), _167463), c_FuncSet_Oextensional__funcset(_167459, _167461, _167465, c_Groups_Ominus__class_Ominus(tc_fun(_167461, tc_HOL_Obool), _167467, hAPP(hAPP(c_Set_Oinsert(_167461), _167469), c_Orderings_Obot__class_Obot(tc_fun(_167461, tc_HOL_Obool))))))), c_Fun_Oinj__on(_167459, _167461, _167463, _167465), -(c_Fun_Oinj__on(_167459, _167461, c_Fun_Ofun__upd(_167459, _167461, _167463, _167471, _167469), _167465))], (3975 ^ _83121) ^ [_167698, _167700, _167702] : [-(c_Fun_Oinj__on(_167698, _167700, _167702, c_Orderings_Obot__class_Obot(tc_fun(_167698, tc_HOL_Obool))))], (3977 ^ _83121) ^ [_167732, _167734, _167736, _167738, _167740, _167742] : [c_Fun_Oinj__on(_167732, _167734, _167736, _167738), hAPP(_167736, _167740) = hAPP(_167736, _167742), hBOOL(hAPP(hAPP(c_member(_167732), _167740), _167738)), hBOOL(hAPP(hAPP(c_member(_167732), _167742), _167738)), -(_167740 = _167742)], (3995 ^ _83121) ^ [_168041, _168043, _168045, _168047, _168049, _168051] : [c_Fun_Oinj__on(_168041, _168043, _168045, _168047), hBOOL(hAPP(hAPP(c_member(_168041), _168049), _168047)), hBOOL(hAPP(hAPP(c_member(_168041), _168051), _168047)), 4006 ^ _83121 : [(4007 ^ _83121) ^ [] : [hAPP(_168045, _168049) = hAPP(_168045, _168051), -(_168049 = _168051)], (4013 ^ _83121) ^ [] : [_168049 = _168051, -(hAPP(_168045, _168049) = hAPP(_168045, _168051))]]], (4019 ^ _83121) ^ [_168498, _168500, _168502, _168504, _168506, _168508] : [c_Fun_Oinj__on(_168498, _168500, _168502, _168504), -(_168506 = _168508), hBOOL(hAPP(hAPP(c_member(_168498), _168506), _168504)), hBOOL(hAPP(hAPP(c_member(_168498), _168508), _168504)), hAPP(_168502, _168506) = hAPP(_168502, _168508)], (4037 ^ _83121) ^ [_169080, _169082] : [-(c_Fun_Oinj__on(_169080, _169080, c_COMBI(_169080), _169082))], (4057 ^ _83121) ^ [_169963, _169965, _169967, _169969] : [4059 ^ _83121 : [(4060 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_169963), 4058 ^ [_169963, _169965, _169967, _169969]), _169969)))], (4063 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_169963), 4061 ^ [_169963, _169965, _169967, _169969]), _169969)))], (4065 ^ _83121) ^ [] : [-(hAPP(_169967, 4058 ^ [_169963, _169965, _169967, _169969]) = hAPP(_169967, 4061 ^ [_169963, _169965, _169967, _169969]))], (4067 ^ _83121) ^ [] : [4058 ^ [_169963, _169965, _169967, _169969] = 4061 ^ [_169963, _169965, _169967, _169969]]], -(c_Fun_Oinj__on(_169963, _169965, _169967, _169969))], (4039 ^ _83121) ^ [_169250, _169252, _169254, _169256] : [c_Fun_Oinj__on(_169250, _169252, _169254, _169256), 4042 ^ _83121 : [(4043 ^ _83121) ^ [_169436] : [hBOOL(hAPP(hAPP(c_member(_169250), _169436), _169256)), 4046 ^ _83121 : [(4047 ^ _83121) ^ [_169626] : [hBOOL(hAPP(hAPP(c_member(_169250), _169626), _169256)), hAPP(_169254, _169436) = hAPP(_169254, _169626), -(_169436 = _169626)]]]]], (4071 ^ _83121) ^ [_170780, _170782, _170784, _170786, _170788] : [c_Fun_Oinj__on(_170780, _170782, _170784, _170786), -(c_Fun_Oinj__on(_170780, _170782, _170784, c_Groups_Ominus__class_Ominus(tc_fun(_170780, tc_HOL_Obool), _170786, _170788)))], (4077 ^ _83121) ^ [_171072, _171074, _171076, _171078, _171080] : [c_Fun_Oinj__on(_171072, _171074, _171076, _171078), c_Fun_Oinj__on(_171072, _171074, _171076, _171080), -(c_Fun_Oinj__on(_171072, _171074, _171076, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_171072, tc_HOL_Obool), _171078, _171080)))], (4087 ^ _83121) ^ [_171484, _171486, _171488, _171490] : [c_Fun_Oinj__on(_171484, _171486, c_FuncSet_Orestrict(_171484, _171486, _171488, _171490), _171490), -(c_Fun_Oinj__on(_171484, _171486, _171488, _171490))], (4093 ^ _83121) ^ [_171676, _171678, _171680, _171682] : [c_Fun_Oinj__on(_171676, _171678, _171680, _171682), -(c_Fun_Oinj__on(_171676, _171678, c_FuncSet_Orestrict(_171676, _171678, _171680, _171682), _171682))], (4099 ^ _83121) ^ [_171931, _171933, _171935, _171937] : [-(c_Nitpick_Ofold__graph_H(_171931, _171933, _171935, _171937, c_Orderings_Obot__class_Obot(tc_fun(_171931, tc_HOL_Obool)), _171937))], (4101 ^ _83121) ^ [_172066, _172068, _172070, _172072] : [-(c_Nitpick_Ofold__graph_H(_172066, _172068, _172070, _172072, c_Orderings_Obot__class_Obot(tc_fun(_172066, tc_HOL_Obool)), _172072))], (4103 ^ _83121) ^ [_172287, _172289, _172291, _172293, _172295, _172297, _172299] : [c_Nitpick_Ofold__graph_H(_172287, _172289, _172291, _172293, _172295, hAPP(hAPP(_172291, _172297), _172299)), 4108 ^ _83121 : [(4109 ^ _83121) ^ [] : [-(_172295 = c_Orderings_Obot__class_Obot(tc_fun(_172287, tc_HOL_Obool)))], (4111 ^ _83121) ^ [] : [-(hAPP(hAPP(_172291, _172297), _172299) = _172293)]], 4114 ^ _83121 : [(4115 ^ _83121) ^ [] : [-(hAPP(hAPP(_172291, _172297), _172299) = hAPP(hAPP(_172291, 4112 ^ [_172287, _172289, _172291, _172293, _172295, _172297, _172299]), 4113 ^ [_172287, _172289, _172291, _172293, _172295, _172297, _172299]))], (4117 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_172287), 4112 ^ [_172287, _172289, _172291, _172293, _172295, _172297, _172299]), _172295)))], (4119 ^ _83121) ^ [] : [-(c_Nitpick_Ofold__graph_H(_172287, _172289, _172291, _172293, c_Groups_Ominus__class_Ominus(tc_fun(_172287, tc_HOL_Obool), _172295, hAPP(hAPP(c_Set_Oinsert(_172287), 4112 ^ [_172287, _172289, _172291, _172293, _172295, _172297, _172299]), c_Orderings_Obot__class_Obot(tc_fun(_172287, tc_HOL_Obool)))), 4113 ^ [_172287, _172289, _172291, _172293, _172295, _172297, _172299]))]]], (4121 ^ _83121) ^ [_173362, _173364, _173366, _173368, _173370, _173372, _173374] : [-(c_Nitpick_Ofold__graph_H(_173362, _173364, _173366, _173368, _173370, hAPP(hAPP(_173366, _173372), _173374))), 4122 ^ _83121 : [(4123 ^ _83121) ^ [] : [_173370 = c_Orderings_Obot__class_Obot(tc_fun(_173362, tc_HOL_Obool)), hAPP(hAPP(_173366, _173372), _173374) = _173368], (4129 ^ _83121) ^ [_173754, _173756] : [hAPP(hAPP(_173366, _173372), _173374) = hAPP(hAPP(_173366, _173756), _173754), hBOOL(hAPP(hAPP(c_member(_173362), _173756), _173370)), c_Nitpick_Ofold__graph_H(_173362, _173364, _173366, _173368, c_Groups_Ominus__class_Ominus(tc_fun(_173362, tc_HOL_Obool), _173370, hAPP(hAPP(c_Set_Oinsert(_173362), _173756), c_Orderings_Obot__class_Obot(tc_fun(_173362, tc_HOL_Obool)))), _173754)]]], (4141 ^ _83121) ^ [_174282, _174284] : [-(c_HOL_OThe(_174282, hAPP(c_fequal, _174284)) = _174284)], (4143 ^ _83121) ^ [_174382, _174384] : [-(c_HOL_OThe(_174382, hAPP(hAPP(c_COMBC(_174382, _174382, tc_HOL_Obool), c_fequal), _174384)) = _174384)], (4145 ^ _83121) ^ [_174575, _174577, _174579, _174581, _174583] : [hBOOL(hAPP(hAPP(c_member(_174575), _174577), hAPP(c_Relation_OImage(_174579, _174575, _174581), hAPP(hAPP(c_Set_Oinsert(_174579), _174583), c_Orderings_Obot__class_Obot(tc_fun(_174579, tc_HOL_Obool)))))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_174579, _174575)), hAPP(hAPP(c_Product__Type_OPair(_174579, _174575), _174583), _174577)), _174581)))], (4151 ^ _83121) ^ [_174847, _174849, _174851, _174853, _174855] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_174851, _174847)), hAPP(hAPP(c_Product__Type_OPair(_174851, _174847), _174855), _174849)), _174853)), -(hBOOL(hAPP(hAPP(c_member(_174847), _174849), hAPP(c_Relation_OImage(_174851, _174847, _174853), hAPP(hAPP(c_Set_Oinsert(_174851), _174855), c_Orderings_Obot__class_Obot(tc_fun(_174851, tc_HOL_Obool)))))))], (4157 ^ _83121) ^ [_175245, _175247, _175249, _175251, _175253, _175255] : [hBOOL(hAPP(hAPP(c_member(_175245), _175247), _175249)), -(c_Set_Oimage(_175245, _175251, c_Fun_Ofun__upd(_175245, _175251, _175253, _175247, _175255), _175249) = hAPP(hAPP(c_Set_Oinsert(_175251), _175255), c_Set_Oimage(_175245, _175251, _175253, c_Groups_Ominus__class_Ominus(tc_fun(_175245, tc_HOL_Obool), _175249, hAPP(hAPP(c_Set_Oinsert(_175245), _175247), c_Orderings_Obot__class_Obot(tc_fun(_175245, tc_HOL_Obool)))))))], (4163 ^ _83121) ^ [_175533, _175535, _175537, _175539, _175541, _175543] : [-(hBOOL(hAPP(hAPP(c_member(_175533), _175535), _175537))), -(c_Set_Oimage(_175533, _175539, c_Fun_Ofun__upd(_175533, _175539, _175541, _175535, _175543), _175537) = c_Set_Oimage(_175533, _175539, _175541, _175537))], (4169 ^ _83121) ^ [_175889, _175891, _175893, _175895, _175897] : [c_Fun_Oinj__on(_175889, _175891, _175893, hAPP(hAPP(c_Set_Oinsert(_175889), _175895), _175897)), 4172 ^ _83121 : [(4173 ^ _83121) ^ [] : [-(c_Fun_Oinj__on(_175889, _175891, _175893, _175897))], (4175 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_175891), hAPP(_175893, _175895)), c_Set_Oimage(_175889, _175891, _175893, c_Groups_Ominus__class_Ominus(tc_fun(_175889, tc_HOL_Obool), _175897, hAPP(hAPP(c_Set_Oinsert(_175889), _175895), c_Orderings_Obot__class_Obot(tc_fun(_175889, tc_HOL_Obool)))))))]]], (4177 ^ _83121) ^ [_176245, _176247, _176249, _176251, _176253] : [-(c_Fun_Oinj__on(_176245, _176247, _176249, hAPP(hAPP(c_Set_Oinsert(_176245), _176251), _176253))), c_Fun_Oinj__on(_176245, _176247, _176249, _176253), -(hBOOL(hAPP(hAPP(c_member(_176247), hAPP(_176249, _176251)), c_Set_Oimage(_176245, _176247, _176249, c_Groups_Ominus__class_Ominus(tc_fun(_176245, tc_HOL_Obool), _176253, hAPP(hAPP(c_Set_Oinsert(_176245), _176251), c_Orderings_Obot__class_Obot(tc_fun(_176245, tc_HOL_Obool))))))))], (4187 ^ _83121) ^ [_176729, _176731, _176733, _176735, _176737, _176739] : [_176729 = hAPP(_176731, _176733), hBOOL(hAPP(hAPP(c_member(_176735), _176733), _176737)), -(hBOOL(hAPP(hAPP(c_member(_176739), _176729), c_Set_Oimage(_176735, _176739, _176731, _176737))))], (4197 ^ _83121) ^ [_177169, _177171, _177173, _177175] : [c_Set_Oimage(_177169, _177171, _177173, _177175) = c_Orderings_Obot__class_Obot(tc_fun(_177171, tc_HOL_Obool)), -(_177175 = c_Orderings_Obot__class_Obot(tc_fun(_177169, tc_HOL_Obool)))], (4203 ^ _83121) ^ [_177373, _177375, _177377, _177379] : [_177379 = c_Orderings_Obot__class_Obot(tc_fun(_177373, tc_HOL_Obool)), -(c_Set_Oimage(_177373, _177375, _177377, _177379) = c_Orderings_Obot__class_Obot(tc_fun(_177375, tc_HOL_Obool)))], (4209 ^ _83121) ^ [_177654, _177656, _177658, _177660, _177662] : [-(c_Set_Oimage(_177654, _177656, _177658, hAPP(hAPP(c_Set_Oinsert(_177654), _177660), _177662)) = hAPP(hAPP(c_Set_Oinsert(_177656), hAPP(_177658, _177660)), c_Set_Oimage(_177654, _177656, _177658, _177662)))], (4211 ^ _83121) ^ [_177797, _177799, _177801] : [-(c_Set_Oimage(_177797, _177799, _177801, c_Orderings_Obot__class_Obot(tc_fun(_177797, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_177799, tc_HOL_Obool)))], (4213 ^ _83121) ^ [_177980, _177982, _177984, _177986] : [c_Orderings_Obot__class_Obot(tc_fun(_177980, tc_HOL_Obool)) = c_Set_Oimage(_177982, _177980, _177984, _177986), -(_177986 = c_Orderings_Obot__class_Obot(tc_fun(_177982, tc_HOL_Obool)))], (4219 ^ _83121) ^ [_178184, _178186, _178188, _178190] : [_178190 = c_Orderings_Obot__class_Obot(tc_fun(_178186, tc_HOL_Obool)), -(c_Orderings_Obot__class_Obot(tc_fun(_178184, tc_HOL_Obool)) = c_Set_Oimage(_178186, _178184, _178188, _178190))], (4225 ^ _83121) ^ [_178437, _178439, _178441] : [-(hAPP(c_Relation_OImage(_178437, _178439, _178441), c_Orderings_Obot__class_Obot(tc_fun(_178437, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_178439, tc_HOL_Obool)))], (4227 ^ _83121) ^ [_178550, _178552] : [-(c_Set_Oimage(_178550, _178550, c_COMBI(_178550), _178552) = _178552)], (4229 ^ _83121) ^ [_178679, _178681, _178683, _178685] : [-(c_Set_Oimage(_178679, _178681, c_FuncSet_Orestrict(_178679, _178681, _178683, _178685), _178685) = c_Set_Oimage(_178679, _178681, _178683, _178685))], (4231 ^ _83121) ^ [_178848, _178850, _178852, _178854, _178856, _178858] : [-(c_Set_Oimage(_178848, _178850, _178852, c_Set_Oimage(_178854, _178848, _178856, _178858)) = c_Set_Oimage(_178854, _178850, hAPP(c_COMBB(_178848, _178850, _178854, _178852), _178856), _178858))], (4233 ^ _83121) ^ [_179044, _179046, _179048, _179050, _179052, _179054] : [hBOOL(hAPP(hAPP(c_member(_179044), _179046), _179048)), _179050 = hAPP(_179052, _179046), -(hBOOL(hAPP(hAPP(c_member(_179054), _179050), c_Set_Oimage(_179044, _179054, _179052, _179048))))], (4243 ^ _83121) ^ [_179469, _179471, _179473, _179475, _179477] : [hBOOL(hAPP(hAPP(c_member(_179469), _179471), _179473)), -(hBOOL(hAPP(hAPP(c_member(_179475), hAPP(_179477, _179471)), c_Set_Oimage(_179469, _179475, _179477, _179473))))], (4249 ^ _83121) ^ [_179812, _179814, _179816, _179818, _179820] : [hBOOL(hAPP(hAPP(c_member(_179812), _179814), c_Set_Oimage(_179816, _179812, _179818, _179820))), 4253 ^ _83121 : [(4254 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_179816), 4252 ^ [_179812, _179814, _179816, _179818, _179820]), _179820)))], (4256 ^ _83121) ^ [] : [-(_179814 = hAPP(_179818, 4252 ^ [_179812, _179814, _179816, _179818, _179820]))]]], (4258 ^ _83121) ^ [_180221, _180223, _180225, _180227, _180229] : [-(hBOOL(hAPP(hAPP(c_member(_180221), _180223), c_Set_Oimage(_180225, _180221, _180227, _180229)))), 4259 ^ _83121 : [(4260 ^ _83121) ^ [_180341] : [hBOOL(hAPP(hAPP(c_member(_180225), _180341), _180229)), _180223 = hAPP(_180227, _180341)]]], (4268 ^ _83121) ^ [_180759, _180761, _180763, _180765, _180767, _180769, _180771, _180773] : [c_Set_Oimage(_180759, _180761, _180763, _180765) = _180767, c_Set_Oimage(_180761, _180769, _180771, _180767) = _180773, -(c_Set_Oimage(_180759, _180769, c_FuncSet_Ocompose(_180759, _180761, _180769, _180765, _180771, _180763), _180765) = _180773)], (4278 ^ _83121) ^ [_181204, _181206, _181208, _181210, _181212] : [hBOOL(hAPP(hAPP(c_member(_181204), _181206), _181208)), -(hAPP(hAPP(c_Set_Oinsert(_181210), hAPP(_181212, _181206)), c_Set_Oimage(_181204, _181210, _181212, _181208)) = c_Set_Oimage(_181204, _181210, _181212, _181208))], (4284 ^ _83121) ^ [_181536, _181538, _181540, _181542] : [_181536 = c_Orderings_Obot__class_Obot(tc_fun(_181538, tc_HOL_Obool)), -(c_Set_Oimage(_181538, _181540, c_COMBK(_181540, _181538, _181542), _181536) = c_Orderings_Obot__class_Obot(tc_fun(_181540, tc_HOL_Obool)))], (4290 ^ _83121) ^ [_181748, _181750, _181752, _181754] : [-(_181748 = c_Orderings_Obot__class_Obot(tc_fun(_181750, tc_HOL_Obool))), -(c_Set_Oimage(_181750, _181752, c_COMBK(_181752, _181750, _181754), _181748) = hAPP(hAPP(c_Set_Oinsert(_181752), _181754), c_Orderings_Obot__class_Obot(tc_fun(_181752, tc_HOL_Obool))))], (4296 ^ _83121) ^ [_182028, _182030, _182032] : [-(hAPP(c_Relation_OImage(_182028, _182028, c_Relation_OId__on(_182028, _182030)), _182032) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_182028, tc_HOL_Obool), _182030, _182032))], (4298 ^ _83121) ^ [_182212, _182214, _182216, _182218, _182220, _182222] : [c_Fun_Oinj__on(_182212, _182214, _182216, _182218), -(hBOOL(hAPP(hAPP(c_member(_182214), _182220), c_Set_Oimage(_182212, _182214, _182216, _182218)))), -(c_Fun_Oinj__on(_182212, _182214, c_Fun_Ofun__upd(_182212, _182214, _182216, _182222, _182220), _182218))], (4308 ^ _83121) ^ [_182669, _182671, _182673, _182675, _182677] : [hBOOL(hAPP(hAPP(c_member(_182669), _182671), hAPP(c_Relation_OImage(_182673, _182669, _182675), _182677))), 4312 ^ _83121 : [(4313 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_182673), 4311 ^ [_182669, _182671, _182673, _182675, _182677]), _182677)))], (4315 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_182673, _182669)), hAPP(hAPP(c_Product__Type_OPair(_182673, _182669), 4311 ^ [_182669, _182671, _182673, _182675, _182677]), _182671)), _182675)))]]], (4317 ^ _83121) ^ [_183130, _183132, _183134, _183136, _183138] : [-(hBOOL(hAPP(hAPP(c_member(_183130), _183132), hAPP(c_Relation_OImage(_183134, _183130, _183136), _183138)))), 4318 ^ _83121 : [(4319 ^ _83121) ^ [_183268] : [hBOOL(hAPP(hAPP(c_member(_183134), _183268), _183138)), hBOOL(hAPP(hAPP(c_member(tc_prod(_183134, _183130)), hAPP(hAPP(c_Product__Type_OPair(_183134, _183130), _183268), _183132)), _183136))]]], (4327 ^ _83121) ^ [_183692, _183694, _183696, _183698, _183700, _183702] : [hBOOL(hAPP(hAPP(c_member(_183692), _183694), _183696)), hBOOL(hAPP(hAPP(c_member(tc_prod(_183692, _183698)), hAPP(hAPP(c_Product__Type_OPair(_183692, _183698), _183694), _183700)), _183702)), -(hBOOL(hAPP(hAPP(c_member(_183698), _183700), hAPP(c_Relation_OImage(_183692, _183698, _183702), _183696))))], (4337 ^ _83121) ^ [_184153, _184155, _184157, _184159, _184161] : [hBOOL(hAPP(hAPP(c_member(_184153), _184155), _184157)), -(c_Set_Oimage(_184153, _184159, c_COMBK(_184159, _184153, _184161), _184157) = hAPP(hAPP(c_Set_Oinsert(_184159), _184161), c_Orderings_Obot__class_Obot(tc_fun(_184159, tc_HOL_Obool))))], (4343 ^ _83121) ^ [_184481, _184483, _184485, _184487, _184489] : [c_Relation_Osingle__valued(_184481, _184483, c_Relation_Oconverse(_184483, _184481, _184485)), -(hAPP(c_Relation_OImage(_184483, _184481, _184485), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_184483, tc_HOL_Obool), _184487, _184489)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_184481, tc_HOL_Obool), hAPP(c_Relation_OImage(_184483, _184481, _184485), _184487), hAPP(c_Relation_OImage(_184483, _184481, _184485), _184489)))], (4349 ^ _83121) ^ [_184831, _184833, _184835, _184837, _184839] : [hBOOL(hAPP(hAPP(c_member(_184831), _184833), hAPP(c_Relation_OImage(_184835, _184831, _184837), _184839))), 4353 ^ _83121 : [(4354 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_184835, _184831)), hAPP(hAPP(c_Product__Type_OPair(_184835, _184831), 4352 ^ [_184831, _184833, _184835, _184837, _184839]), _184833)), _184837)))], (4356 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_184835), 4352 ^ [_184831, _184833, _184835, _184837, _184839]), _184839)))]]], (4358 ^ _83121) ^ [_185402, _185404, _185406, _185408, _185410, _185412] : [c_Equiv__Relations_Oequiv(_185402, _185404, _185406), hBOOL(hAPP(hAPP(c_member(_185402), _185408), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_185402, tc_HOL_Obool), hAPP(c_Relation_OImage(_185402, _185402, _185406), hAPP(hAPP(c_Set_Oinsert(_185402), _185410), c_Orderings_Obot__class_Obot(tc_fun(_185402, tc_HOL_Obool)))), hAPP(c_Relation_OImage(_185402, _185402, _185406), hAPP(hAPP(c_Set_Oinsert(_185402), _185412), c_Orderings_Obot__class_Obot(tc_fun(_185402, tc_HOL_Obool))))))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_185402, _185402)), hAPP(hAPP(c_Product__Type_OPair(_185402, _185402), _185410), _185412)), _185406)))], (4368 ^ _83121) ^ [_185931, _185933, _185935, _185937, _185939] : [c_Set_Oimage(_185931, _185933, _185935, _185937) = _185939, -(hBOOL(hAPP(hAPP(c_member(tc_fun(_185933, _185931)), c_FuncSet_Orestrict(_185933, _185931, c_Hilbert__Choice_Oinv__into(_185931, _185933, _185937, _185935), _185939)), c_FuncSet_OPi(_185933, _185931, _185939, c_COMBK(tc_fun(_185931, tc_HOL_Obool), _185933, _185937)))))], (4374 ^ _83121) ^ [_186261, _186263, _186265, _186267] : [c_Equiv__Relations_Oequiv(_186261, _186263, _186265), hBOOL(hAPP(hAPP(c_member(_186261), _186267), _186263)), -(hBOOL(hAPP(hAPP(c_member(_186261), _186267), hAPP(c_Relation_OImage(_186261, _186261, _186265), hAPP(hAPP(c_Set_Oinsert(_186261), _186267), c_Orderings_Obot__class_Obot(tc_fun(_186261, tc_HOL_Obool)))))))], (4384 ^ _83121) ^ [_186692, _186694, _186696, _186698, _186700] : [c_Equiv__Relations_Oequiv(_186692, _186694, _186696), hBOOL(hAPP(hAPP(c_member(tc_prod(_186692, _186692)), hAPP(hAPP(c_Product__Type_OPair(_186692, _186692), _186698), _186700)), _186696)), -(hAPP(c_Relation_OImage(_186692, _186692, _186696), hAPP(hAPP(c_Set_Oinsert(_186692), _186698), c_Orderings_Obot__class_Obot(tc_fun(_186692, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_186692, _186692, _186696), hAPP(hAPP(c_Set_Oinsert(_186692), _186700), c_Orderings_Obot__class_Obot(tc_fun(_186692, tc_HOL_Obool)))))], (4394 ^ _83121) ^ [_187183, _187185, _187187, _187189, _187191] : [c_Set_Oimage(_187183, _187185, _187187, _187189) = _187191, -(c_FuncSet_Ocompose(_187185, _187183, _187185, _187191, _187187, c_FuncSet_Orestrict(_187185, _187183, c_Hilbert__Choice_Oinv__into(_187183, _187185, _187189, _187187), _187191)) = c_FuncSet_Orestrict(_187185, _187185, c_COMBI(_187185), _187191))], (4400 ^ _83121) ^ [_187511, _187513, _187515, _187517, _187519] : [hAPP(c_Relation_OImage(_187511, _187511, _187513), hAPP(hAPP(c_Set_Oinsert(_187511), _187515), c_Orderings_Obot__class_Obot(tc_fun(_187511, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_187511, _187511, _187513), hAPP(hAPP(c_Set_Oinsert(_187511), _187517), c_Orderings_Obot__class_Obot(tc_fun(_187511, tc_HOL_Obool)))), c_Equiv__Relations_Oequiv(_187511, _187519, _187513), hBOOL(hAPP(hAPP(c_member(_187511), _187517), _187519)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_187511, _187511)), hAPP(hAPP(c_Product__Type_OPair(_187511, _187511), _187515), _187517)), _187513)))], (4414 ^ _83121) ^ [_188117, _188119, _188121, _188123, _188125] : [c_Equiv__Relations_Oequiv(_188117, _188119, _188121), hBOOL(hAPP(hAPP(c_member(_188117), _188123), _188119)), hBOOL(hAPP(hAPP(c_member(_188117), _188125), _188119)), 4425 ^ _83121 : [(4426 ^ _83121) ^ [] : [hAPP(c_Relation_OImage(_188117, _188117, _188121), hAPP(hAPP(c_Set_Oinsert(_188117), _188123), c_Orderings_Obot__class_Obot(tc_fun(_188117, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_188117, _188117, _188121), hAPP(hAPP(c_Set_Oinsert(_188117), _188125), c_Orderings_Obot__class_Obot(tc_fun(_188117, tc_HOL_Obool)))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_188117, _188117)), hAPP(hAPP(c_Product__Type_OPair(_188117, _188117), _188123), _188125)), _188121)))], (4432 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_188117, _188117)), hAPP(hAPP(c_Product__Type_OPair(_188117, _188117), _188123), _188125)), _188121)), -(hAPP(c_Relation_OImage(_188117, _188117, _188121), hAPP(hAPP(c_Set_Oinsert(_188117), _188123), c_Orderings_Obot__class_Obot(tc_fun(_188117, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_188117, _188117, _188121), hAPP(hAPP(c_Set_Oinsert(_188117), _188125), c_Orderings_Obot__class_Obot(tc_fun(_188117, tc_HOL_Obool)))))]]], (4438 ^ _83121) ^ [_189076, _189078, _189080, _189082, _189084] : [c_Equiv__Relations_Oequiv(_189076, _189078, _189080), 4441 ^ _83121 : [(4442 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_189076, _189076)), hAPP(hAPP(c_Product__Type_OPair(_189076, _189076), _189082), _189084)), _189080)), 4445 ^ _83121 : [(4446 ^ _83121) ^ [] : [-(hAPP(c_Relation_OImage(_189076, _189076, _189080), hAPP(hAPP(c_Set_Oinsert(_189076), _189082), c_Orderings_Obot__class_Obot(tc_fun(_189076, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_189076, _189076, _189080), hAPP(hAPP(c_Set_Oinsert(_189076), _189084), c_Orderings_Obot__class_Obot(tc_fun(_189076, tc_HOL_Obool)))))], (4448 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_189076), _189082), _189078)))], (4450 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_189076), _189084), _189078)))]]], (4452 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(tc_prod(_189076, _189076)), hAPP(hAPP(c_Product__Type_OPair(_189076, _189076), _189082), _189084)), _189080))), hAPP(c_Relation_OImage(_189076, _189076, _189080), hAPP(hAPP(c_Set_Oinsert(_189076), _189082), c_Orderings_Obot__class_Obot(tc_fun(_189076, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_189076, _189076, _189080), hAPP(hAPP(c_Set_Oinsert(_189076), _189084), c_Orderings_Obot__class_Obot(tc_fun(_189076, tc_HOL_Obool)))), hBOOL(hAPP(hAPP(c_member(_189076), _189082), _189078)), hBOOL(hAPP(hAPP(c_member(_189076), _189084), _189078))]]], (4466 ^ _83121) ^ [_190212, _190214, _190216, _190218, _190220, _190222] : [c_Fun_Oinj__on(_190212, _190214, _190216, _190218), hBOOL(hAPP(hAPP(c_member(_190212), _190220), _190218)), hAPP(_190216, _190220) = _190222, -(hAPP(c_Hilbert__Choice_Oinv__into(_190212, _190214, _190218, _190216), _190222) = _190220)], (4480 ^ _83121) ^ [_190738, _190740, _190742, _190744, _190746] : [c_Fun_Oinj__on(_190738, _190740, _190742, _190744), hBOOL(hAPP(hAPP(c_member(_190738), _190746), _190744)), -(hAPP(c_Hilbert__Choice_Oinv__into(_190738, _190740, _190744, _190742), hAPP(_190742, _190746)) = _190746)], (4490 ^ _83121) ^ [_191163, _191165, _191167, _191169, _191171, _191173] : [hAPP(c_Hilbert__Choice_Oinv__into(_191163, _191165, _191167, _191169), _191171) = hAPP(c_Hilbert__Choice_Oinv__into(_191163, _191165, _191167, _191169), _191173), hBOOL(hAPP(hAPP(c_member(_191165), _191171), c_Set_Oimage(_191163, _191165, _191169, _191167))), hBOOL(hAPP(hAPP(c_member(_191165), _191173), c_Set_Oimage(_191163, _191165, _191169, _191167))), -(_191171 = _191173)], (4504 ^ _83121) ^ [_191729, _191731, _191733, _191735, _191737] : [hBOOL(hAPP(hAPP(c_member(_191729), _191731), c_Set_Oimage(_191733, _191729, _191735, _191737))), -(hAPP(_191735, hAPP(c_Hilbert__Choice_Oinv__into(_191733, _191729, _191737, _191735), _191731)) = _191731)], (4510 ^ _83121) ^ [_192045, _192047, _192049, _192051, _192053] : [hBOOL(hAPP(hAPP(c_member(_192045), _192047), c_Set_Oimage(_192049, _192045, _192051, _192053))), -(hBOOL(hAPP(hAPP(c_member(_192049), hAPP(c_Hilbert__Choice_Oinv__into(_192049, _192045, _192053, _192051), _192047)), _192053)))], (4516 ^ _83121) ^ [_192369, _192371, _192373, _192375, _192377] : [c_Equiv__Relations_Oequiv(_192369, _192371, _192373), hBOOL(hAPP(hAPP(c_member(_192369), _192375), _192371)), hBOOL(hAPP(hAPP(c_member(_192369), _192377), _192371)), 4527 ^ _83121 : [(4528 ^ _83121) ^ [] : [hAPP(hAPP(c_Equiv__Relations_Oquotient(_192369), hAPP(hAPP(c_Set_Oinsert(_192369), _192375), c_Orderings_Obot__class_Obot(tc_fun(_192369, tc_HOL_Obool)))), _192373) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_192369), hAPP(hAPP(c_Set_Oinsert(_192369), _192377), c_Orderings_Obot__class_Obot(tc_fun(_192369, tc_HOL_Obool)))), _192373), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_192369, _192369)), hAPP(hAPP(c_Product__Type_OPair(_192369, _192369), _192375), _192377)), _192373)))], (4534 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_192369, _192369)), hAPP(hAPP(c_Product__Type_OPair(_192369, _192369), _192375), _192377)), _192373)), -(hAPP(hAPP(c_Equiv__Relations_Oquotient(_192369), hAPP(hAPP(c_Set_Oinsert(_192369), _192375), c_Orderings_Obot__class_Obot(tc_fun(_192369, tc_HOL_Obool)))), _192373) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_192369), hAPP(hAPP(c_Set_Oinsert(_192369), _192377), c_Orderings_Obot__class_Obot(tc_fun(_192369, tc_HOL_Obool)))), _192373))]]], (4540 ^ _83121) ^ [_193334, _193336, _193338, _193340, _193342] : [c_Equiv__Relations_Oequiv(_193334, _193336, _193338), c_Orderings_Oord__class_Oless__eq(tc_fun(_193334, tc_HOL_Obool), hAPP(c_Relation_OImage(_193334, _193334, _193338), hAPP(hAPP(c_Set_Oinsert(_193334), _193340), c_Orderings_Obot__class_Obot(tc_fun(_193334, tc_HOL_Obool)))), hAPP(c_Relation_OImage(_193334, _193334, _193338), hAPP(hAPP(c_Set_Oinsert(_193334), _193342), c_Orderings_Obot__class_Obot(tc_fun(_193334, tc_HOL_Obool))))), hBOOL(hAPP(hAPP(c_member(_193334), _193340), _193336)), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_193334, _193334)), hAPP(hAPP(c_Product__Type_OPair(_193334, _193334), _193342), _193340)), _193338)))], (4554 ^ _83121) ^ [_193906, _193908] : [class_Orderings_Opreorder(_193906), -(c_Orderings_Oord__class_Oless__eq(_193906, _193908, _193908))], (4560 ^ _83121) ^ [_194130, _194132, _194134] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_194130, tc_HOL_Obool), _194132, _194134), c_Orderings_Oord__class_Oless__eq(tc_fun(_194130, tc_HOL_Obool), _194134, _194132), -(_194132 = _194134)], (4570 ^ _83121) ^ [_194483, _194485, _194487, _194489] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_194483, tc_HOL_Obool), _194485, _194487), hBOOL(hAPP(hAPP(c_member(_194483), _194489), _194485)), -(hBOOL(hAPP(hAPP(c_member(_194483), _194489), _194487)))], (4580 ^ _83121) ^ [_194823, _194825] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_194823, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(_194823, tc_HOL_Obool)), _194825))], (4582 ^ _83121) ^ [_194969, _194971, _194973, _194975] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_194969, _194969)), _194971), c_Transitive__Closure_Otrancl(_194969, _194973))), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_194969, _194969), tc_HOL_Obool), _194973, _194975), -(hBOOL(hAPP(hAPP(c_member(tc_prod(_194969, _194969)), _194971), c_Transitive__Closure_Otrancl(_194969, _194975))))], (4592 ^ _83121) ^ [_195381, _195383, _195385, _195387, _195389] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_195381, tc_HOL_Obool), hAPP(c_Relation_OImage(_195383, _195381, _195385), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_195383, tc_HOL_Obool), _195387, _195389)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_195381, tc_HOL_Obool), hAPP(c_Relation_OImage(_195383, _195381, _195385), _195387), hAPP(c_Relation_OImage(_195383, _195381, _195385), _195389))))], (4594 ^ _83121) ^ [_195591, _195593, _195595, _195597, _195599, _195601] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_195591, _195593), tc_HOL_Obool), _195595, _195597), c_Orderings_Oord__class_Oless__eq(tc_fun(_195591, tc_HOL_Obool), _195599, _195601), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_195593, tc_HOL_Obool), hAPP(c_Relation_OImage(_195591, _195593, _195595), _195599), hAPP(c_Relation_OImage(_195591, _195593, _195597), _195601)))], (4604 ^ _83121) ^ [_196059, _196061, _196063, _196065, _196067] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_196059, tc_HOL_Obool), _196061, c_Set_Oimage(_196063, _196059, _196065, _196067)), 4608 ^ _83121 : [(4609 ^ _83121) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_196063, tc_HOL_Obool), 4607 ^ [_196059, _196061, _196063, _196065, _196067], _196067))], (4611 ^ _83121) ^ [] : [-(_196061 = c_Set_Oimage(_196063, _196059, _196065, 4607 ^ [_196059, _196061, _196063, _196065, _196067]))]]], (4613 ^ _83121) ^ [_196459, _196461, _196463, _196465, _196467] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_196459, tc_HOL_Obool), _196461, c_Set_Oimage(_196463, _196459, _196465, _196467))), 4614 ^ _83121 : [(4615 ^ _83121) ^ [_196575] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_196463, tc_HOL_Obool), _196575, _196467), _196461 = c_Set_Oimage(_196463, _196459, _196465, _196575)]]], (4623 ^ _83121) ^ [_196946, _196948, _196950, _196952, _196954] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_196946, tc_HOL_Obool), _196948, _196950), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_196952, tc_HOL_Obool), c_Set_Oimage(_196946, _196952, _196954, _196948), c_Set_Oimage(_196946, _196952, _196954, _196950)))], (4629 ^ _83121) ^ [_197252, _197254, _197256, _197258, _197260] : [c_Fun_Oinj__on(_197252, _197254, _197256, _197258), c_Orderings_Oord__class_Oless__eq(tc_fun(_197252, tc_HOL_Obool), _197260, _197258), -(c_Fun_Oinj__on(_197252, _197254, _197256, _197260))], (4639 ^ _83121) ^ [_197625, _197627, _197629, _197631] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_197625, tc_HOL_Obool), _197627, _197629), c_Orderings_Oord__class_Oless__eq(tc_fun(_197625, tc_HOL_Obool), _197629, _197631), -(c_Groups_Ominus__class_Ominus(tc_fun(_197625, tc_HOL_Obool), _197629, c_Groups_Ominus__class_Ominus(tc_fun(_197625, tc_HOL_Obool), _197631, _197627)) = _197627)], (4649 ^ _83121) ^ [_198030, _198032, _198034, _198036, _198038] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_198030, tc_HOL_Obool), _198032, _198034), c_Orderings_Oord__class_Oless__eq(tc_fun(_198030, tc_HOL_Obool), _198036, _198038), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_198030, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_198030, tc_HOL_Obool), _198032, _198038), c_Groups_Ominus__class_Ominus(tc_fun(_198030, tc_HOL_Obool), _198034, _198036)))], (4659 ^ _83121) ^ [_198410, _198412, _198414] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_198410, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_198410, tc_HOL_Obool), _198412, _198414), _198412))], (4661 ^ _83121) ^ [_198546, _198548, _198550] : [class_Orderings_Olinorder(_198546), -(c_Orderings_Oord__class_Oless__eq(_198546, _198548, _198550)), -(c_Orderings_Oord__class_Oless__eq(_198546, _198550, _198548))], (4671 ^ _83121) ^ [_198902, _198904, _198906, _198908, _198910] : [class_Orderings_Oord(_198902), c_Orderings_Oord__class_Oless__eq(tc_fun(_198904, _198902), _198906, _198908), -(c_Orderings_Oord__class_Oless__eq(_198902, hAPP(_198906, _198910), hAPP(_198908, _198910)))], (4681 ^ _83121) ^ [_199279, _199281, _199283, _199285] : [class_Orderings_Oorder(_199279), c_Orderings_Oord__class_Oless__eq(_199279, _199281, _199283), c_Orderings_Oord__class_Oless__eq(_199279, _199285, _199281), -(c_Orderings_Oord__class_Oless__eq(_199279, _199285, _199283))], (4695 ^ _83121) ^ [_199713, _199715, _199717] : [class_Orderings_Oorder(_199713), c_Orderings_Oord__class_Oless__eq(_199713, _199715, _199717), c_Orderings_Oord__class_Oless__eq(_199713, _199717, _199715), -(_199717 = _199715)], (4709 ^ _83121) ^ [_200145, _200147, _200149, _200151] : [class_Orderings_Opreorder(_200145), c_Orderings_Oord__class_Oless__eq(_200145, _200147, _200149), c_Orderings_Oord__class_Oless__eq(_200145, _200149, _200151), -(c_Orderings_Oord__class_Oless__eq(_200145, _200147, _200151))], (4723 ^ _83121) ^ [_200579, _200581, _200583] : [class_Orderings_Oorder(_200579), c_Orderings_Oord__class_Oless__eq(_200579, _200581, _200583), c_Orderings_Oord__class_Oless__eq(_200579, _200583, _200581), -(_200581 = _200583)], (4737 ^ _83121) ^ [_201011, _201013, _201015, _201017] : [class_Orderings_Oorder(_201011), c_Orderings_Oord__class_Oless__eq(_201011, _201013, _201015), _201013 = _201017, -(c_Orderings_Oord__class_Oless__eq(_201011, _201017, _201015))], (4751 ^ _83121) ^ [_201457, _201459, _201461, _201463] : [class_Orderings_Oord(_201457), c_Orderings_Oord__class_Oless__eq(_201457, _201459, _201461), _201461 = _201463, -(c_Orderings_Oord__class_Oless__eq(_201457, _201459, _201463))], (4765 ^ _83121) ^ [_201903, _201905, _201907, _201909] : [class_Orderings_Oorder(_201903), _201905 = _201907, c_Orderings_Oord__class_Oless__eq(_201903, _201909, _201907), -(c_Orderings_Oord__class_Oless__eq(_201903, _201909, _201905))], (4779 ^ _83121) ^ [_202349, _202351, _202353, _202355] : [class_Orderings_Oord(_202349), _202351 = _202353, c_Orderings_Oord__class_Oless__eq(_202349, _202353, _202355), -(c_Orderings_Oord__class_Oless__eq(_202349, _202351, _202355))], (4793 ^ _83121) ^ [_202781, _202783, _202785] : [class_Orderings_Oorder(_202781), c_Orderings_Oord__class_Oless__eq(_202781, _202783, _202785), 4800 ^ _83121 : [(4801 ^ _83121) ^ [] : [c_Orderings_Oord__class_Oless__eq(_202781, _202785, _202783), -(_202785 = _202783)], (4807 ^ _83121) ^ [] : [_202785 = _202783, -(c_Orderings_Oord__class_Oless__eq(_202781, _202785, _202783))]]], (4813 ^ _83121) ^ [_203395, _203397, _203399, _203401, _203403] : [class_Orderings_Oord(_203395), c_Orderings_Oord__class_Oless__eq(tc_fun(_203397, _203395), _203399, _203401), -(c_Orderings_Oord__class_Oless__eq(_203395, hAPP(_203399, _203403), hAPP(_203401, _203403)))], (4823 ^ _83121) ^ [_203758, _203760, _203762] : [class_Orderings_Opreorder(_203758), _203760 = _203762, -(c_Orderings_Oord__class_Oless__eq(_203758, _203760, _203762))], (4833 ^ _83121) ^ [_204081, _204083, _204085] : [class_Orderings_Oorder(_204081), 4836 ^ _83121 : [(4837 ^ _83121) ^ [] : [_204083 = _204085, 4840 ^ _83121 : [(4841 ^ _83121) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_204081, _204083, _204085))], (4843 ^ _83121) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_204081, _204085, _204083))]]], (4845 ^ _83121) ^ [] : [-(_204083 = _204085), c_Orderings_Oord__class_Oless__eq(_204081, _204083, _204085), c_Orderings_Oord__class_Oless__eq(_204081, _204085, _204083)]]], (4855 ^ _83121) ^ [_204739, _204741, _204743] : [class_Orderings_Olinorder(_204739), -(c_Orderings_Oord__class_Oless__eq(_204739, _204741, _204743)), -(c_Orderings_Oord__class_Oless__eq(_204739, _204743, _204741))], (4865 ^ _83121) ^ [_205079, _205081, _205083, _205085] : [class_Orderings_Oord(_205079), 4868 ^ _83121 : [(4869 ^ _83121) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_205081, _205079), _205083, _205085), 4872 ^ _83121 : [(4873 ^ _83121) ^ [_205338] : [-(c_Orderings_Oord__class_Oless__eq(_205079, hAPP(_205083, _205338), hAPP(_205085, _205338)))]]], (4875 ^ _83121) ^ [] : [c_Orderings_Oord__class_Oless__eq(_205079, hAPP(_205083, 4876 ^ [_205079, _205081, _205083, _205085]), hAPP(_205085, 4876 ^ [_205079, _205081, _205083, _205085])), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_205081, _205079), _205083, _205085))]]], (4882 ^ _83121) ^ [_205720, _205722, _205724] : [c_Wellfounded_Oacyclic(_205720, _205722), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_205720, _205720), tc_HOL_Obool), _205724, _205722), -(c_Wellfounded_Oacyclic(_205720, _205724))], (4892 ^ _83121) ^ [_206071, _206073, _206075, _206077] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_206071, _206073), tc_HOL_Obool), _206075, _206077), c_Relation_Osingle__valued(_206071, _206073, _206077), -(c_Relation_Osingle__valued(_206071, _206073, _206075))], (4902 ^ _83121) ^ [_206451, _206453, _206455] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_206451, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_206451, tc_fun(_206451, tc_HOL_Obool), tc_HOL_Obool), c_member(_206451)), _206453), hAPP(hAPP(c_COMBC(_206451, tc_fun(_206451, tc_HOL_Obool), tc_HOL_Obool), c_member(_206451)), _206455)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_206451, tc_HOL_Obool), _206453, _206455))], (4908 ^ _83121) ^ [_206695, _206697, _206699] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_206695, tc_HOL_Obool), _206697, _206699), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_206695, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_206695, tc_fun(_206695, tc_HOL_Obool), tc_HOL_Obool), c_member(_206695)), _206697), hAPP(hAPP(c_COMBC(_206695, tc_fun(_206695, tc_HOL_Obool), tc_HOL_Obool), c_member(_206695)), _206699)))], (4914 ^ _83121) ^ [_207017, _207019, _207021, _207023] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_207017, tc_HOL_Obool), _207019, _207021), hBOOL(hAPP(hAPP(c_member(_207017), _207023), _207019)), -(hBOOL(hAPP(hAPP(c_member(_207017), _207023), _207021)))], (4924 ^ _83121) ^ [_207400, _207402, _207404, _207406] : [hBOOL(hAPP(hAPP(c_member(_207400), _207402), _207404)), c_Orderings_Oord__class_Oless__eq(tc_fun(_207400, tc_HOL_Obool), _207404, _207406), -(hBOOL(hAPP(hAPP(c_member(_207400), _207402), _207406)))], (4934 ^ _83121) ^ [_207783, _207785, _207787, _207789] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_207783, tc_HOL_Obool), _207785, _207787), hBOOL(hAPP(hAPP(c_member(_207783), _207789), _207785)), -(hBOOL(hAPP(hAPP(c_member(_207783), _207789), _207787)))], (4944 ^ _83121) ^ [_208152, _208154, _208156] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_208152, _208152), tc_HOL_Obool), _208154, _208156), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_208152, tc_HOL_Obool), c_Wellfounded_Oacc(_208152, _208156), c_Wellfounded_Oacc(_208152, _208154)))], (4950 ^ _83121) ^ [_208444, _208446, _208448, _208450, _208452] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_208444, tc_HOL_Obool), _208446, _208448), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_208444, _208450), tc_HOL_Obool), c_FuncSet_OPi(_208444, _208450, _208448, _208452), c_FuncSet_OPi(_208444, _208450, _208446, _208452)))], (4956 ^ _83121) ^ [_208742, _208744, _208746, _208748] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_208742, tc_HOL_Obool), _208744, _208746), hBOOL(hAPP(_208744, _208748)), -(hBOOL(hAPP(_208746, _208748)))], (4966 ^ _83121) ^ [_209105, _209107, _209109, _209111] : [hBOOL(hAPP(_209105, _209107)), c_Orderings_Oord__class_Oless__eq(tc_fun(_209109, tc_HOL_Obool), _209105, _209111), -(hBOOL(hAPP(_209111, _209107)))], (4976 ^ _83121) ^ [_209454, _209456, _209458] : [_209454 = _209456, 4979 ^ _83121 : [(4980 ^ _83121) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_209458, tc_HOL_Obool), _209454, _209456))], (4982 ^ _83121) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_209458, tc_HOL_Obool), _209456, _209454))]]], (4984 ^ _83121) ^ [_209795, _209797, _209799, _209801] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_209795, tc_HOL_Obool), _209797, _209799), c_Orderings_Oord__class_Oless__eq(tc_fun(_209795, tc_HOL_Obool), _209799, _209801), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_209795, tc_HOL_Obool), _209797, _209801))], (4994 ^ _83121) ^ [_210152, _210154, _210156] : [_210152 = _210154, -(c_Orderings_Oord__class_Oless__eq(tc_fun(_210156, tc_HOL_Obool), _210154, _210152))], (5000 ^ _83121) ^ [_210390, _210392, _210394] : [_210390 = _210392, -(c_Orderings_Oord__class_Oless__eq(tc_fun(_210394, tc_HOL_Obool), _210390, _210392))], (5006 ^ _83121) ^ [_210657, _210659, _210661] : [_210657 = _210659, 5009 ^ _83121 : [(5010 ^ _83121) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_210661, tc_HOL_Obool), _210657, _210659))], (5012 ^ _83121) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_210661, tc_HOL_Obool), _210659, _210657))]]], (5014 ^ _83121) ^ [_210918, _210920, _210922] : [-(_210918 = _210920), c_Orderings_Oord__class_Oless__eq(tc_fun(_210922, tc_HOL_Obool), _210918, _210920), c_Orderings_Oord__class_Oless__eq(tc_fun(_210922, tc_HOL_Obool), _210920, _210918)], (5024 ^ _83121) ^ [_211230, _211232] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_211230, tc_HOL_Obool), _211232, _211232))], (5026 ^ _83121) ^ [_211371, _211373, _211375, _211377] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_211371, _211373), tc_HOL_Obool), _211375, _211377), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_211371, tc_HOL_Obool), c_Relation_ODomain(_211371, _211373, _211375), c_Relation_ODomain(_211371, _211373, _211377)))], (5032 ^ _83121) ^ [_211645, _211647, _211649] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_211645, _211645), tc_HOL_Obool), _211647, _211649), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_211645, _211645), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_211645, _211647), c_Transitive__Closure_Ortrancl(_211645, _211649)))], (5038 ^ _83121) ^ [_211915, _211917, _211919] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_211915, _211915), tc_HOL_Obool), _211917, _211919), c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_211915, _211915), tc_HOL_Obool), _211919, c_Transitive__Closure_Ortrancl(_211915, _211917)), -(c_Transitive__Closure_Ortrancl(_211915, _211919) = c_Transitive__Closure_Ortrancl(_211915, _211917))], (5048 ^ _83121) ^ [_212284, _212286, _212288] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_212284, _212284), tc_HOL_Obool), _212286, c_Transitive__Closure_Ortrancl(_212284, _212288)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_212284, _212284), tc_HOL_Obool), c_Transitive__Closure_Ortrancl(_212284, _212286), c_Transitive__Closure_Ortrancl(_212284, _212288)))], (5054 ^ _83121) ^ [_212545, _212547, _212549] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_212545, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_212545, tc_HOL_Obool), _212547, _212549), _212547))], (5056 ^ _83121) ^ [_212666, _212668, _212670] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_212666, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_212666, tc_HOL_Obool), _212668, _212670), _212670))], (5058 ^ _83121) ^ [_212802, _212804, _212806] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_212802, tc_HOL_Obool), _212804, _212806), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_212802, tc_HOL_Obool), _212804, _212806) = _212804)], (5064 ^ _83121) ^ [_213054, _213056, _213058] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_213054, tc_HOL_Obool), _213056, _213058), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_213054, tc_HOL_Obool), _213058, _213056) = _213056)], (5070 ^ _83121) ^ [_213320, _213322, _213324, _213326] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_213320, tc_HOL_Obool), _213322, _213324), c_Orderings_Oord__class_Oless__eq(tc_fun(_213320, tc_HOL_Obool), _213322, _213326), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_213320, tc_HOL_Obool), _213322, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_213320, tc_HOL_Obool), _213324, _213326)))], (5080 ^ _83121) ^ [_213719, _213721, _213723, _213725, _213727] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_213719, tc_HOL_Obool), _213721, _213723), c_Orderings_Oord__class_Oless__eq(tc_fun(_213719, tc_HOL_Obool), _213725, _213727), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_213719, tc_HOL_Obool), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_213719, tc_HOL_Obool), _213721, _213725), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_213719, tc_HOL_Obool), _213723, _213727)))], (5090 ^ _83121) ^ [_214128, _214130, _214132, _214134] : [class_Lattices_Osemilattice__inf(_214128), c_Orderings_Oord__class_Oless__eq(_214128, _214130, c_Lattices_Osemilattice__inf__class_Oinf(_214128, _214132, _214134)), 5097 ^ _83121 : [(5098 ^ _83121) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_214128, _214130, _214132))], (5100 ^ _83121) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_214128, _214130, _214134))]]], (5102 ^ _83121) ^ [_214584, _214586, _214588, _214590, _214592] : [class_Lattices_Osemilattice__inf(_214584), c_Orderings_Oord__class_Oless__eq(_214584, _214586, _214588), c_Orderings_Oord__class_Oless__eq(_214584, _214590, _214592), -(c_Orderings_Oord__class_Oless__eq(_214584, c_Lattices_Osemilattice__inf__class_Oinf(_214584, _214586, _214590), c_Lattices_Osemilattice__inf__class_Oinf(_214584, _214588, _214592)))], (5116 ^ _83121) ^ [_215062, _215064, _215066, _215068] : [class_Lattices_Osemilattice__inf(_215062), c_Orderings_Oord__class_Oless__eq(_215062, _215064, _215066), c_Orderings_Oord__class_Oless__eq(_215062, _215064, _215068), -(c_Orderings_Oord__class_Oless__eq(_215062, _215064, c_Lattices_Osemilattice__inf__class_Oinf(_215062, _215066, _215068)))], (5130 ^ _83121) ^ [_215518, _215520, _215522, _215524] : [class_Lattices_Osemilattice__inf(_215518), c_Orderings_Oord__class_Oless__eq(_215518, _215520, _215522), c_Orderings_Oord__class_Oless__eq(_215518, _215520, _215524), -(c_Orderings_Oord__class_Oless__eq(_215518, _215520, c_Lattices_Osemilattice__inf__class_Oinf(_215518, _215522, _215524)))], (5144 ^ _83121) ^ [_215960, _215962, _215964] : [class_Lattices_Osemilattice__inf(_215960), c_Orderings_Oord__class_Oless__eq(_215960, _215962, _215964), -(c_Lattices_Osemilattice__inf__class_Oinf(_215960, _215964, _215962) = _215962)], (5154 ^ _83121) ^ [_216291, _216293, _216295] : [class_Lattices_Osemilattice__inf(_216291), c_Orderings_Oord__class_Oless__eq(_216291, _216293, _216295), -(c_Lattices_Osemilattice__inf__class_Oinf(_216291, _216293, _216295) = _216293)], (5164 ^ _83121) ^ [_216636, _216638, _216640, _216642] : [class_Lattices_Osemilattice__inf(_216636), c_Orderings_Oord__class_Oless__eq(_216636, _216638, _216640), -(c_Orderings_Oord__class_Oless__eq(_216636, c_Lattices_Osemilattice__inf__class_Oinf(_216636, _216642, _216638), _216640))], (5174 ^ _83121) ^ [_216993, _216995, _216997, _216999] : [class_Lattices_Osemilattice__inf(_216993), c_Orderings_Oord__class_Oless__eq(_216993, _216995, _216997), -(c_Orderings_Oord__class_Oless__eq(_216993, c_Lattices_Osemilattice__inf__class_Oinf(_216993, _216995, _216999), _216997))], (5184 ^ _83121) ^ [_217350, _217352, _217354, _217356] : [class_Lattices_Osemilattice__inf(_217350), 5187 ^ _83121 : [(5188 ^ _83121) ^ [] : [c_Orderings_Oord__class_Oless__eq(_217350, _217352, c_Lattices_Osemilattice__inf__class_Oinf(_217350, _217354, _217356)), 5191 ^ _83121 : [(5192 ^ _83121) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_217350, _217352, _217354))], (5194 ^ _83121) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_217350, _217352, _217356))]]], (5196 ^ _83121) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_217350, _217352, c_Lattices_Osemilattice__inf__class_Oinf(_217350, _217354, _217356))), c_Orderings_Oord__class_Oless__eq(_217350, _217352, _217354), c_Orderings_Oord__class_Oless__eq(_217350, _217352, _217356)]]], (5206 ^ _83121) ^ [_218045, _218047, _218049] : [class_Lattices_Osemilattice__inf(_218045), 5209 ^ _83121 : [(5210 ^ _83121) ^ [] : [c_Orderings_Oord__class_Oless__eq(_218045, _218047, _218049), -(c_Lattices_Osemilattice__inf__class_Oinf(_218045, _218047, _218049) = _218047)], (5216 ^ _83121) ^ [] : [c_Lattices_Osemilattice__inf__class_Oinf(_218045, _218047, _218049) = _218047, -(c_Orderings_Oord__class_Oless__eq(_218045, _218047, _218049))]]], (5222 ^ _83121) ^ [_218548, _218550, _218552] : [class_Lattices_Osemilattice__inf(_218548), -(c_Orderings_Oord__class_Oless__eq(_218548, c_Lattices_Osemilattice__inf__class_Oinf(_218548, _218550, _218552), _218552))], (5228 ^ _83121) ^ [_218786, _218788, _218790] : [class_Lattices_Olattice(_218786), -(c_Orderings_Oord__class_Oless__eq(_218786, c_Lattices_Osemilattice__inf__class_Oinf(_218786, _218788, _218790), _218790))], (5234 ^ _83121) ^ [_219024, _219026, _219028] : [class_Lattices_Osemilattice__inf(_219024), -(c_Orderings_Oord__class_Oless__eq(_219024, c_Lattices_Osemilattice__inf__class_Oinf(_219024, _219026, _219028), _219026))], (5240 ^ _83121) ^ [_219262, _219264, _219266] : [class_Lattices_Olattice(_219262), -(c_Orderings_Oord__class_Oless__eq(_219262, c_Lattices_Osemilattice__inf__class_Oinf(_219262, _219264, _219266), _219264))], (5246 ^ _83121) ^ [_219485, _219487, _219489] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_219485, tc_HOL_Obool), _219487, hAPP(hAPP(c_Set_Oinsert(_219485), _219489), _219487)))], (5248 ^ _83121) ^ [_219637, _219639] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_219637, tc_HOL_Obool), _219639, c_Orderings_Obot__class_Obot(tc_fun(_219637, tc_HOL_Obool))), -(_219639 = c_Orderings_Obot__class_Obot(tc_fun(_219637, tc_HOL_Obool)))], (5254 ^ _83121) ^ [_219827, _219829] : [_219829 = c_Orderings_Obot__class_Obot(tc_fun(_219827, tc_HOL_Obool)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_219827, tc_HOL_Obool), _219829, c_Orderings_Obot__class_Obot(tc_fun(_219827, tc_HOL_Obool))))], (5260 ^ _83121) ^ [_220095, _220097, _220099, _220101] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_220095, tc_HOL_Obool), _220097, _220099), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_220095, tc_HOL_Obool), _220097, hAPP(hAPP(c_Set_Oinsert(_220095), _220101), _220099)))], (5266 ^ _83121) ^ [_220377, _220379, _220381, _220383] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_220377, tc_HOL_Obool), _220379, _220381), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_220377, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_220377), _220383), _220379), hAPP(hAPP(c_Set_Oinsert(_220377), _220383), _220381)))], (5272 ^ _83121) ^ [_220647, _220649] : [class_Orderings_Obot(_220647), -(c_Orderings_Oord__class_Oless__eq(_220647, c_Orderings_Obot__class_Obot(_220647), _220649))], (5278 ^ _83121) ^ [_220875, _220877, _220879] : [_220875 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_220877, _220877), tc_HOL_Obool)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_220877, _220877), tc_HOL_Obool), _220875, _220879))], (5284 ^ _83121) ^ [_221148, _221150, _221152, _221154, _221156] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_221148, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_221148, tc_HOL_Obool), c_Set_Oimage(_221150, _221148, _221152, _221154), c_Set_Oimage(_221150, _221148, _221152, _221156)), c_Set_Oimage(_221150, _221148, _221152, c_Groups_Ominus__class_Ominus(tc_fun(_221150, tc_HOL_Obool), _221154, _221156))))], (5286 ^ _83121) ^ [_221323, _221325, _221327, _221329, _221331] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_221323, tc_HOL_Obool), c_Set_Oimage(_221325, _221323, _221327, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_221325, tc_HOL_Obool), _221329, _221331)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_221323, tc_HOL_Obool), c_Set_Oimage(_221325, _221323, _221327, _221329), c_Set_Oimage(_221325, _221323, _221327, _221331))))], (5288 ^ _83121) ^ [_221485, _221487, _221489] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_221485, tc_HOL_Obool), _221487, hAPP(hAPP(c_Set_Oinsert(_221485), _221489), c_Orderings_Obot__class_Obot(tc_fun(_221485, tc_HOL_Obool)))), -(_221487 = c_Orderings_Obot__class_Obot(tc_fun(_221485, tc_HOL_Obool))), -(_221487 = hAPP(hAPP(c_Set_Oinsert(_221485), _221489), c_Orderings_Obot__class_Obot(tc_fun(_221485, tc_HOL_Obool))))], (5298 ^ _83121) ^ [_221922, _221924, _221926, _221928] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_221922, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_221922), _221924), _221926), _221928), 5301 ^ _83121 : [(5302 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_221922), _221924), _221928)))], (5304 ^ _83121) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_221922, tc_HOL_Obool), _221926, _221928))]]], (5306 ^ _83121) ^ [_222221, _222223, _222225, _222227] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_222221, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(_222221), _222223), _222225), _222227)), hBOOL(hAPP(hAPP(c_member(_222221), _222223), _222227)), c_Orderings_Oord__class_Oless__eq(tc_fun(_222221, tc_HOL_Obool), _222225, _222227)], (5316 ^ _83121) ^ [_222616, _222618, _222620, _222622] : [-(hBOOL(hAPP(hAPP(c_member(_222616), _222618), _222620))), 5319 ^ _83121 : [(5320 ^ _83121) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_222616, tc_HOL_Obool), _222620, hAPP(hAPP(c_Set_Oinsert(_222616), _222618), _222622)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_222616, tc_HOL_Obool), _222620, _222622))], (5326 ^ _83121) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_222616, tc_HOL_Obool), _222620, _222622), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_222616, tc_HOL_Obool), _222620, hAPP(hAPP(c_Set_Oinsert(_222616), _222618), _222622)))]]], (5332 ^ _83121) ^ [_223158, _223160] : [-(hAPP(hAPP(c_Equiv__Relations_Oquotient(_223158), c_Orderings_Obot__class_Obot(tc_fun(_223158, tc_HOL_Obool))), _223160) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_223158, tc_HOL_Obool), tc_HOL_Obool)))], (5334 ^ _83121) ^ [_223331, _223333, _223335] : [c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_223331, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_223331), _223333), _223335), -(_223333 = c_Orderings_Obot__class_Obot(tc_fun(_223331, tc_HOL_Obool)))], (5340 ^ _83121) ^ [_223541, _223543, _223545] : [_223543 = c_Orderings_Obot__class_Obot(tc_fun(_223541, tc_HOL_Obool)), -(c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_223541, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_223541), _223543), _223545))], (5346 ^ _83121) ^ [_223844, _223846, _223848] : [hAPP(hAPP(c_Equiv__Relations_Oquotient(_223844), _223846), _223848) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_223844, tc_HOL_Obool), tc_HOL_Obool)), -(_223846 = c_Orderings_Obot__class_Obot(tc_fun(_223844, tc_HOL_Obool)))], (5352 ^ _83121) ^ [_224054, _224056, _224058] : [_224056 = c_Orderings_Obot__class_Obot(tc_fun(_224054, tc_HOL_Obool)), -(hAPP(hAPP(c_Equiv__Relations_Oquotient(_224054), _224056), _224058) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_224054, tc_HOL_Obool), tc_HOL_Obool)))], (5358 ^ _83121) ^ [_224328, _224330, _224332] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_224328, tc_HOL_Obool), hAPP(c_Relation_OImage(_224328, _224328, _224330), _224332), _224332), -(hAPP(c_Relation_OImage(_224328, _224328, c_Transitive__Closure_Ortrancl(_224328, _224330)), _224332) = _224332)], (5364 ^ _83121) ^ [_224642, _224644, _224646, _224648, _224650, _224652] : [c_Set_Oimage(_224642, _224644, _224646, _224648) = _224650, c_Orderings_Oord__class_Oless__eq(tc_fun(_224644, tc_HOL_Obool), _224652, _224650), -(c_Set_Oimage(_224642, _224644, _224646, c_Set_Oimage(_224644, _224642, c_Hilbert__Choice_Oinv__into(_224642, _224644, _224648, _224646), _224652)) = _224652)], (5374 ^ _83121) ^ [_225042, _225044, _225046, _225048] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_225042, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_225042, tc_HOL_Obool), c_Relation_ODomain(_225042, _225044, _225046), c_Relation_ODomain(_225042, _225044, _225048)), c_Relation_ODomain(_225042, _225044, c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_225042, _225044), tc_HOL_Obool), _225046, _225048))))], (5376 ^ _83121) ^ [_225201, _225203, _225205, _225207] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_225201, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_225201, tc_HOL_Obool), c_Relation_ORange(_225203, _225201, _225205), c_Relation_ORange(_225203, _225201, _225207)), c_Relation_ORange(_225203, _225201, c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_225203, _225201), tc_HOL_Obool), _225205, _225207))))], (5378 ^ _83121) ^ [_225389, _225391, _225393, _225395, _225397] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_225389, _225391)), _225393), c_FuncSet_Oextensional(_225389, _225391, _225395))), c_Orderings_Oord__class_Oless__eq(tc_fun(_225389, tc_HOL_Obool), _225395, _225397), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_225389, _225391)), _225393), c_FuncSet_Oextensional(_225389, _225391, _225397))))], (5388 ^ _83121) ^ [_225810, _225812, _225814, _225816] : [-(_225810 = c_Orderings_Obot__class_Obot(tc_fun(_225812, tc_HOL_Obool))), 5391 ^ _83121 : [(5403 ^ _83121) ^ [] : [5404 ^ _83121 : [(5405 ^ _83121) ^ [_226436] : [c_Set_Oimage(_225814, _225812, _226436, _225816) = _225810]], 5407 ^ _83121 : [(5408 ^ _83121) ^ [] : [-(c_Fun_Oinj__on(_225812, _225814, 5406 ^ [_225810, _225812, _225814, _225816], _225810))], (5410 ^ _83121) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_225814, tc_HOL_Obool), c_Set_Oimage(_225812, _225814, 5406 ^ [_225810, _225812, _225814, _225816], _225810), _225816))]]], (5392 ^ _83121) ^ [] : [-(c_Set_Oimage(_225814, _225812, 5399 ^ [_225810, _225812, _225814, _225816], _225816) = _225810), 5393 ^ _83121 : [(5394 ^ _83121) ^ [_226062] : [c_Fun_Oinj__on(_225812, _225814, _226062, _225810), c_Orderings_Oord__class_Oless__eq(tc_fun(_225814, tc_HOL_Obool), c_Set_Oimage(_225812, _225814, _226062, _225810), _225816)]]]]], (5412 ^ _83121) ^ [_226850, _226852, _226854, _226856, _226858, _226860] : [c_Fun_Oinj__on(_226850, _226852, _226854, _226856), c_Orderings_Oord__class_Oless__eq(tc_fun(_226850, tc_HOL_Obool), _226858, _226856), c_Orderings_Oord__class_Oless__eq(tc_fun(_226850, tc_HOL_Obool), _226860, _226856), -(c_Set_Oimage(_226850, _226852, _226854, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_226850, tc_HOL_Obool), _226858, _226860)) = c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_226852, tc_HOL_Obool), c_Set_Oimage(_226850, _226852, _226854, _226858), c_Set_Oimage(_226850, _226852, _226854, _226860)))], (5426 ^ _83121) ^ [_227428, _227430, _227432, _227434, _227436, _227438] : [c_Fun_Oinj__on(_227428, _227430, _227432, _227434), c_Orderings_Oord__class_Oless__eq(tc_fun(_227428, tc_HOL_Obool), _227436, _227434), c_Orderings_Oord__class_Oless__eq(tc_fun(_227428, tc_HOL_Obool), _227438, _227434), -(c_Set_Oimage(_227428, _227430, _227432, c_Groups_Ominus__class_Ominus(tc_fun(_227428, tc_HOL_Obool), _227436, _227438)) = c_Groups_Ominus__class_Ominus(tc_fun(_227430, tc_HOL_Obool), c_Set_Oimage(_227428, _227430, _227432, _227436), c_Set_Oimage(_227428, _227430, _227432, _227438)))], (5440 ^ _83121) ^ [_227992, _227994, _227996, _227998, _228000] : [c_Fun_Oinj__on(_227992, _227994, _227996, _227998), c_Orderings_Oord__class_Oless__eq(tc_fun(_227992, tc_HOL_Obool), _228000, _227998), -(c_Set_Oimage(_227994, _227992, c_Hilbert__Choice_Oinv__into(_227992, _227994, _227998, _227996), c_Set_Oimage(_227992, _227994, _227996, _228000)) = _228000)], (5450 ^ _83121) ^ [_228405, _228407, _228409, _228411, _228413] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_228405, tc_HOL_Obool), _228407, c_Set_Oimage(_228409, _228405, _228411, _228413)), -(c_Fun_Oinj__on(_228405, _228409, c_Hilbert__Choice_Oinv__into(_228409, _228405, _228413, _228411), _228407))], (5456 ^ _83121) ^ [_228678, _228680, _228682, _228684] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_228678, tc_HOL_Obool), c_Relation_ODomain(_228678, _228680, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_228678, _228680), tc_HOL_Obool), _228682, _228684)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_228678, tc_HOL_Obool), c_Relation_ODomain(_228678, _228680, _228682), c_Relation_ODomain(_228678, _228680, _228684))))], (5458 ^ _83121) ^ [_228837, _228839, _228841, _228843] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_228837, tc_HOL_Obool), c_Relation_ORange(_228839, _228837, c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_228839, _228837), tc_HOL_Obool), _228841, _228843)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_228837, tc_HOL_Obool), c_Relation_ORange(_228839, _228837, _228841), c_Relation_ORange(_228839, _228837, _228843))))], (5460 ^ _83121) ^ [_229025, _229027, _229029, _229031, _229033] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_229025, _229027)), _229029), c_FuncSet_OPi(_229025, _229027, _229031, c_COMBK(tc_fun(_229027, tc_HOL_Obool), _229025, _229033)))), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_229027, tc_HOL_Obool), c_Set_Oimage(_229025, _229027, _229029, _229031), _229033))], (5466 ^ _83121) ^ [_229314, _229316, _229318] : [-(hAPP(hAPP(c_Equiv__Relations_Oquotient(_229314), hAPP(hAPP(c_Set_Oinsert(_229314), _229316), c_Orderings_Obot__class_Obot(tc_fun(_229314, tc_HOL_Obool)))), _229318) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_229314, tc_HOL_Obool)), hAPP(c_Relation_OImage(_229314, _229314, _229318), hAPP(hAPP(c_Set_Oinsert(_229314), _229316), c_Orderings_Obot__class_Obot(tc_fun(_229314, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_229314, tc_HOL_Obool), tc_HOL_Obool))))], (5468 ^ _83121) ^ [_229513, _229515, _229517, _229519] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_229513, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_229513, tc_HOL_Obool), _229515, hAPP(hAPP(c_Set_Oinsert(_229513), _229517), c_Orderings_Obot__class_Obot(tc_fun(_229513, tc_HOL_Obool)))), _229519), hBOOL(hAPP(hAPP(c_member(_229513), _229517), _229515)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_229513, tc_HOL_Obool), _229515, hAPP(hAPP(c_Set_Oinsert(_229513), _229517), _229519)))], (5494 ^ _83121) ^ [_230533, _230535, _230537, _230539] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_230533, tc_HOL_Obool), _230535, hAPP(hAPP(c_Set_Oinsert(_230533), _230537), _230539))), 5497 ^ _83121 : [(5498 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_230533), _230537), _230535)))], (5500 ^ _83121) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_230533, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_230533, tc_HOL_Obool), _230535, hAPP(hAPP(c_Set_Oinsert(_230533), _230537), c_Orderings_Obot__class_Obot(tc_fun(_230533, tc_HOL_Obool)))), _230539)]], 5501 ^ _83121 : [(5502 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_230533), _230537), _230535))], (5504 ^ _83121) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_230533, tc_HOL_Obool), _230535, _230539)]]], (5478 ^ _83121) ^ [_229975, _229977, _229979, _229981] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_229975, tc_HOL_Obool), _229977, hAPP(hAPP(c_Set_Oinsert(_229975), _229979), _229981)), 5481 ^ _83121 : [(5482 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(_229975), _229979), _229977)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_229975, tc_HOL_Obool), c_Groups_Ominus__class_Ominus(tc_fun(_229975, tc_HOL_Obool), _229977, hAPP(hAPP(c_Set_Oinsert(_229975), _229979), c_Orderings_Obot__class_Obot(tc_fun(_229975, tc_HOL_Obool)))), _229981))], (5488 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_229975), _229979), _229977))), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_229975, tc_HOL_Obool), _229977, _229981))]]], (5508 ^ _83121) ^ [_231163, _231165, _231167, _231169, _231171] : [c_Equiv__Relations_Oequiv(_231163, _231165, _231167), hBOOL(hAPP(hAPP(c_member(tc_fun(_231163, tc_HOL_Obool)), _231169), hAPP(hAPP(c_Equiv__Relations_Oquotient(_231163), _231165), _231167))), hBOOL(hAPP(hAPP(c_member(tc_fun(_231163, tc_HOL_Obool)), _231171), hAPP(hAPP(c_Equiv__Relations_Oquotient(_231163), _231165), _231167))), -(_231169 = _231171), -(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_231163, tc_HOL_Obool), _231169, _231171) = c_Orderings_Obot__class_Obot(tc_fun(_231163, tc_HOL_Obool)))], (5526 ^ _83121) ^ [_231821, _231823, _231825, _231827] : [c_Fun_Oinj__on(_231821, tc_fun(tc_fun(_231821, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_231821, tc_fun(tc_prod(_231821, _231821), tc_HOL_Obool), tc_fun(tc_fun(_231821, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_231821, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_231821, _231821), tc_HOL_Obool), tc_fun(tc_fun(_231821, tc_HOL_Obool), tc_HOL_Obool)), _231821, c_Equiv__Relations_Oquotient(_231821)), hAPP(hAPP(c_COMBC(_231821, tc_fun(_231821, tc_HOL_Obool), tc_fun(_231821, tc_HOL_Obool)), c_Set_Oinsert(_231821)), c_Orderings_Obot__class_Obot(tc_fun(_231821, tc_HOL_Obool))))), _231823), _231825), hBOOL(hAPP(hAPP(c_member(_231821), _231827), _231825)), -(hAPP(hAPP(c_Equiv__Relations_Oquotient(_231821), c_Groups_Ominus__class_Ominus(tc_fun(_231821, tc_HOL_Obool), _231825, hAPP(hAPP(c_Set_Oinsert(_231821), _231827), c_Orderings_Obot__class_Obot(tc_fun(_231821, tc_HOL_Obool))))), _231823) = c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_231821, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_231821), _231825), _231823), hAPP(hAPP(c_Equiv__Relations_Oquotient(_231821), hAPP(hAPP(c_Set_Oinsert(_231821), _231827), c_Orderings_Obot__class_Obot(tc_fun(_231821, tc_HOL_Obool)))), _231823)))], (5536 ^ _83121) ^ [_232478, _232480, _232482, _232484] : [hBOOL(hAPP(hAPP(c_member(_232478), _232480), _232482)), -(hBOOL(hAPP(hAPP(c_member(tc_fun(_232478, tc_HOL_Obool)), hAPP(c_Relation_OImage(_232478, _232478, _232484), hAPP(hAPP(c_Set_Oinsert(_232478), _232480), c_Orderings_Obot__class_Obot(tc_fun(_232478, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_232478), _232482), _232484))))], (5542 ^ _83121) ^ [_232832, _232834, _232836, _232838, _232840] : [c_Equiv__Relations_Oequiv(_232832, _232834, _232836), hBOOL(hAPP(hAPP(c_member(tc_prod(_232832, _232832)), hAPP(hAPP(c_Product__Type_OPair(_232832, _232832), _232838), _232840)), _232836)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_232832, tc_HOL_Obool), hAPP(c_Relation_OImage(_232832, _232832, _232836), hAPP(hAPP(c_Set_Oinsert(_232832), _232838), c_Orderings_Obot__class_Obot(tc_fun(_232832, tc_HOL_Obool)))), hAPP(c_Relation_OImage(_232832, _232832, _232836), hAPP(hAPP(c_Set_Oinsert(_232832), _232840), c_Orderings_Obot__class_Obot(tc_fun(_232832, tc_HOL_Obool))))))], (5552 ^ _83121) ^ [_233359, _233361, _233363, _233365, _233367, _233369, _233371] : [c_Equiv__Relations_Oequiv(_233359, _233361, _233363), hBOOL(hAPP(hAPP(c_member(tc_fun(_233359, tc_HOL_Obool)), _233365), hAPP(hAPP(c_Equiv__Relations_Oquotient(_233359), _233361), _233363))), hBOOL(hAPP(hAPP(c_member(tc_fun(_233359, tc_HOL_Obool)), _233367), hAPP(hAPP(c_Equiv__Relations_Oquotient(_233359), _233361), _233363))), hBOOL(hAPP(hAPP(c_member(_233359), _233369), _233365)), hBOOL(hAPP(hAPP(c_member(_233359), _233371), _233367)), 5571 ^ _83121 : [(5572 ^ _83121) ^ [] : [_233365 = _233367, -(hBOOL(hAPP(hAPP(c_member(tc_prod(_233359, _233359)), hAPP(hAPP(c_Product__Type_OPair(_233359, _233359), _233369), _233371)), _233363)))], (5578 ^ _83121) ^ [] : [hBOOL(hAPP(hAPP(c_member(tc_prod(_233359, _233359)), hAPP(hAPP(c_Product__Type_OPair(_233359, _233359), _233369), _233371)), _233363)), -(_233365 = _233367)]]], (5584 ^ _83121) ^ [_234564, _234566, _234568, _234570, _234572, _234574, _234576] : [c_Equiv__Relations_Oequiv(_234564, _234566, _234568), hBOOL(hAPP(hAPP(c_member(tc_fun(_234564, tc_HOL_Obool)), _234570), hAPP(hAPP(c_Equiv__Relations_Oquotient(_234564), _234566), _234568))), hBOOL(hAPP(hAPP(c_member(tc_fun(_234564, tc_HOL_Obool)), _234572), hAPP(hAPP(c_Equiv__Relations_Oquotient(_234564), _234566), _234568))), hBOOL(hAPP(hAPP(c_member(_234564), _234574), _234570)), hBOOL(hAPP(hAPP(c_member(_234564), _234576), _234572)), hBOOL(hAPP(hAPP(c_member(tc_prod(_234564, _234564)), hAPP(hAPP(c_Product__Type_OPair(_234564, _234564), _234574), _234576)), _234568)), -(_234570 = _234572)], (5610 ^ _83121) ^ [_235523, _235525, _235527] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_235523, tc_HOL_Obool), _235525, hAPP(hAPP(c_Set_Oinsert(_235523), _235527), c_Orderings_Obot__class_Obot(tc_fun(_235523, tc_HOL_Obool)))), -(c_Partial__Function_Oflat__lub(_235523, _235527, _235525) = _235527)], (5616 ^ _83121) ^ [_235733, _235735, _235737] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_235733, tc_HOL_Obool), _235735, hAPP(hAPP(c_Set_Oinsert(_235733), _235737), c_Orderings_Obot__class_Obot(tc_fun(_235733, tc_HOL_Obool))))), -(c_Partial__Function_Oflat__lub(_235733, _235737, _235735) = c_HOL_OThe(_235733, hAPP(hAPP(c_COMBC(_235733, tc_fun(_235733, tc_HOL_Obool), tc_HOL_Obool), c_member(_235733)), c_Groups_Ominus__class_Ominus(tc_fun(_235733, tc_HOL_Obool), _235735, hAPP(hAPP(c_Set_Oinsert(_235733), _235737), c_Orderings_Obot__class_Obot(tc_fun(_235733, tc_HOL_Obool)))))))], (5622 ^ _83121) ^ [_236100, _236102, _236104, _236106] : [hBOOL(hAPP(hAPP(c_member(tc_fun(_236100, tc_HOL_Obool)), _236102), hAPP(hAPP(c_Equiv__Relations_Oquotient(_236100), _236104), _236106))), 5626 ^ _83121 : [(5627 ^ _83121) ^ [] : [-(_236102 = hAPP(c_Relation_OImage(_236100, _236100, _236106), hAPP(hAPP(c_Set_Oinsert(_236100), 5625 ^ [_236100, _236102, _236104, _236106]), c_Orderings_Obot__class_Obot(tc_fun(_236100, tc_HOL_Obool)))))], (5629 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_236100), 5625 ^ [_236100, _236102, _236104, _236106]), _236104)))]]], (5631 ^ _83121) ^ [_236624, _236626, _236628] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_236624, tc_fun(_236624, tc_HOL_Obool)), _236626, _236628), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_236624, tc_HOL_Obool), c_Wellfounded_Oaccp(_236624, _236628), c_Wellfounded_Oaccp(_236624, _236626)))], (5637 ^ _83121) ^ [_236931, _236933, _236935, _236937] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_236931, tc_fun(_236933, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_236931, tc_fun(tc_prod(_236931, _236933), tc_HOL_Obool), tc_fun(_236933, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_236933, tc_fun(tc_fun(tc_prod(_236931, _236933), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_236931, _236933), tc_HOL_Obool), tc_fun(_236933, tc_HOL_Obool)), _236931, c_COMBC(_236933, tc_fun(tc_prod(_236931, _236933), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_236933, tc_prod(_236931, _236933)), tc_fun(_236933, tc_fun(tc_fun(tc_prod(_236931, _236933), tc_HOL_Obool), tc_HOL_Obool)), _236931, c_COMBB(tc_prod(_236931, _236933), tc_fun(tc_fun(tc_prod(_236931, _236933), tc_HOL_Obool), tc_HOL_Obool), _236933, c_member(tc_prod(_236931, _236933)))), c_Product__Type_OPair(_236931, _236933)))), _236935), hAPP(hAPP(c_COMBC(_236931, tc_fun(tc_prod(_236931, _236933), tc_HOL_Obool), tc_fun(_236933, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_236933, tc_fun(tc_fun(tc_prod(_236931, _236933), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_236931, _236933), tc_HOL_Obool), tc_fun(_236933, tc_HOL_Obool)), _236931, c_COMBC(_236933, tc_fun(tc_prod(_236931, _236933), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_236933, tc_prod(_236931, _236933)), tc_fun(_236933, tc_fun(tc_fun(tc_prod(_236931, _236933), tc_HOL_Obool), tc_HOL_Obool)), _236931, c_COMBB(tc_prod(_236931, _236933), tc_fun(tc_fun(tc_prod(_236931, _236933), tc_HOL_Obool), tc_HOL_Obool), _236933, c_member(tc_prod(_236931, _236933)))), c_Product__Type_OPair(_236931, _236933)))), _236937)), -(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_236931, _236933), tc_HOL_Obool), _236935, _236937))], (5643 ^ _83121) ^ [_237581, _237583, _237585, _237587] : [c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_237581, _237583), tc_HOL_Obool), _237585, _237587), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_237581, tc_fun(_237583, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_237581, tc_fun(tc_prod(_237581, _237583), tc_HOL_Obool), tc_fun(_237583, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_237583, tc_fun(tc_fun(tc_prod(_237581, _237583), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_237581, _237583), tc_HOL_Obool), tc_fun(_237583, tc_HOL_Obool)), _237581, c_COMBC(_237583, tc_fun(tc_prod(_237581, _237583), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_237583, tc_prod(_237581, _237583)), tc_fun(_237583, tc_fun(tc_fun(tc_prod(_237581, _237583), tc_HOL_Obool), tc_HOL_Obool)), _237581, c_COMBB(tc_prod(_237581, _237583), tc_fun(tc_fun(tc_prod(_237581, _237583), tc_HOL_Obool), tc_HOL_Obool), _237583, c_member(tc_prod(_237581, _237583)))), c_Product__Type_OPair(_237581, _237583)))), _237585), hAPP(hAPP(c_COMBC(_237581, tc_fun(tc_prod(_237581, _237583), tc_HOL_Obool), tc_fun(_237583, tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_237583, tc_fun(tc_fun(tc_prod(_237581, _237583), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_237581, _237583), tc_HOL_Obool), tc_fun(_237583, tc_HOL_Obool)), _237581, c_COMBC(_237583, tc_fun(tc_prod(_237581, _237583), tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_237583, tc_prod(_237581, _237583)), tc_fun(_237583, tc_fun(tc_fun(tc_prod(_237581, _237583), tc_HOL_Obool), tc_HOL_Obool)), _237581, c_COMBB(tc_prod(_237581, _237583), tc_fun(tc_fun(tc_prod(_237581, _237583), tc_HOL_Obool), tc_HOL_Obool), _237583, c_member(tc_prod(_237581, _237583)))), c_Product__Type_OPair(_237581, _237583)))), _237587)))], (5649 ^ _83121) ^ [_238323, _238325, _238327, _238329, _238331] : [class_Groups_Oordered__ab__group__add(_238323), c_Groups_Ominus__class_Ominus(_238323, _238325, _238327) = c_Groups_Ominus__class_Ominus(_238323, _238329, _238331), 5656 ^ _83121 : [(5657 ^ _83121) ^ [] : [c_Orderings_Oord__class_Oless__eq(_238323, _238325, _238327), -(c_Orderings_Oord__class_Oless__eq(_238323, _238329, _238331))], (5663 ^ _83121) ^ [] : [c_Orderings_Oord__class_Oless__eq(_238323, _238329, _238331), -(c_Orderings_Oord__class_Oless__eq(_238323, _238325, _238327))]]], (5669 ^ _83121) ^ [_239008, _239010, _239012, _239014, _239016, _239018] : [c_Fun_Oinj__on(_239008, _239010, _239012, _239014), hBOOL(hAPP(hAPP(c_member(_239010), _239016), c_Set_Oimage(_239008, _239010, _239012, _239014))), c_Orderings_Oord__class_Oless__eq(tc_fun(_239008, tc_HOL_Obool), _239014, _239018), -(hBOOL(hAPP(hAPP(c_member(_239008), hAPP(c_Fun_Othe__inv__into(_239008, _239010, _239014, _239012), _239016)), _239018)))], (5683 ^ _83121) ^ [_239574, _239576, _239578, _239580, _239582, _239584] : [hBOOL(hAPP(hAPP(_239574, _239576), _239578)), c_Orderings_Oord__class_Oless__eq(tc_fun(_239580, tc_fun(_239582, tc_HOL_Obool)), _239574, _239584), -(hBOOL(hAPP(hAPP(_239584, _239576), _239578)))], (5693 ^ _83121) ^ [_240003, _240005, _240007, _240009, _240011, _240013] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_240003, tc_fun(_240005, tc_HOL_Obool)), _240007, _240009), hBOOL(hAPP(hAPP(_240007, _240011), _240013)), -(hBOOL(hAPP(hAPP(_240009, _240011), _240013)))], (5703 ^ _83121) ^ [_240418, _240420, _240422, _240424, _240426] : [class_Groups_Oab__group__add(_240418), c_Groups_Ominus__class_Ominus(_240418, _240420, _240422) = c_Groups_Ominus__class_Ominus(_240418, _240424, _240426), 5710 ^ _83121 : [(5711 ^ _83121) ^ [] : [_240420 = _240422, -(_240424 = _240426)], (5717 ^ _83121) ^ [] : [_240424 = _240426, -(_240420 = _240422)]]], (5723 ^ _83121) ^ [_241097, _241099, _241101, _241103, _241105, _241107] : [c_Fun_Oinj__on(_241097, _241099, _241101, _241103), hAPP(_241101, _241105) = _241107, hBOOL(hAPP(hAPP(c_member(_241097), _241105), _241103)), -(hAPP(c_Fun_Othe__inv__into(_241097, _241099, _241103, _241101), _241107) = _241105)], (5737 ^ _83121) ^ [_241623, _241625, _241627, _241629, _241631] : [c_Fun_Oinj__on(_241623, _241625, _241627, _241629), hBOOL(hAPP(hAPP(c_member(_241623), _241631), _241629)), -(hAPP(c_Fun_Othe__inv__into(_241623, _241625, _241629, _241627), hAPP(_241627, _241631)) = _241631)], (5747 ^ _83121) ^ [_242020, _242022, _242024, _242026] : [c_Fun_Oinj__on(_242020, _242022, _242024, _242026), -(c_Fun_Oinj__on(_242022, _242020, c_Fun_Othe__inv__into(_242020, _242022, _242026, _242024), c_Set_Oimage(_242020, _242022, _242024, _242026)))], (5753 ^ _83121) ^ [_242298, _242300, _242302, _242304] : [c_Fun_Oinj__on(_242298, _242300, _242302, _242304), -(c_Set_Oimage(_242300, _242298, c_Fun_Othe__inv__into(_242298, _242300, _242304, _242302), c_Set_Oimage(_242298, _242300, _242302, _242304)) = _242304)], (5759 ^ _83121) ^ [_242581, _242583, _242585, _242587, _242589] : [-(hAPP(c_Fun_Othe__inv__into(_242581, _242583, _242585, _242587), _242589) = c_HOL_OThe(_242581, hAPP(hAPP(c_COMBS(_242581, tc_HOL_Obool, tc_HOL_Obool), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _242581, c_fconj), hAPP(hAPP(c_COMBC(_242581, tc_fun(_242581, tc_HOL_Obool), tc_HOL_Obool), c_member(_242581)), _242585))), hAPP(hAPP(c_COMBC(_242581, _242583, tc_HOL_Obool), hAPP(c_COMBB(_242583, tc_fun(_242583, tc_HOL_Obool), _242581, c_fequal), _242587)), _242589))))], (5761 ^ _83121) ^ [_242803, _242805, _242807, _242809, _242811] : [c_Fun_Oinj__on(_242803, _242805, _242807, _242809), hBOOL(hAPP(hAPP(c_member(_242805), _242811), c_Set_Oimage(_242803, _242805, _242807, _242809))), -(hAPP(_242807, hAPP(c_Fun_Othe__inv__into(_242803, _242805, _242809, _242807), _242811)) = _242811)], (5771 ^ _83121) ^ [_243181, _243183, _243185] : [-(hAPP(hAPP(c_Equiv__Relations_Oquotient(_243181), _243183), _243185) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_243181, tc_fun(tc_fun(_243181, tc_HOL_Obool), tc_HOL_Obool), _243183, hAPP(hAPP(c_COMBC(_243181, tc_fun(tc_fun(_243181, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_243181, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(_243181, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_243181, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_243181, tc_HOL_Obool), tc_HOL_Obool)), _243181, c_Set_Oinsert(tc_fun(_243181, tc_HOL_Obool))), hAPP(c_COMBB(tc_fun(_243181, tc_HOL_Obool), tc_fun(_243181, tc_HOL_Obool), _243181, c_Relation_OImage(_243181, _243181, _243185)), hAPP(hAPP(c_COMBC(_243181, tc_fun(_243181, tc_HOL_Obool), tc_fun(_243181, tc_HOL_Obool)), c_Set_Oinsert(_243181)), c_Orderings_Obot__class_Obot(tc_fun(_243181, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_243181, tc_HOL_Obool), tc_HOL_Obool)))))], (5773 ^ _83121) ^ [_243469, _243471, _243473, _243475, _243477, _243479] : [c_Equiv__Relations_Ocongruent(_243469, _243471, _243473, _243475), hBOOL(hAPP(hAPP(c_member(tc_prod(_243469, _243469)), hAPP(hAPP(c_Product__Type_OPair(_243469, _243469), _243477), _243479)), _243473)), -(hAPP(_243475, _243477) = hAPP(_243475, _243479))], (5783 ^ _83121) ^ [_243918, _243920, _243922, _243924, _243926, _243928] : [hBOOL(hAPP(hAPP(c_member(_243918), _243920), _243922)), hBOOL(hAPP(hAPP(_243924, _243920), _243926)), -(hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_243918, tc_fun(_243928, tc_HOL_Obool), _243922, _243924), _243926)))], (5793 ^ _83121) ^ [_244372, _244374, _244376, _244378, _244380] : [hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_244372, tc_fun(_244374, tc_HOL_Obool), _244376, _244378), _244380)), 5797 ^ _83121 : [(5798 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(c_member(_244372), 5796 ^ [_244372, _244374, _244376, _244378, _244380]), _244376)))], (5800 ^ _83121) ^ [] : [-(hBOOL(hAPP(hAPP(_244378, 5796 ^ [_244372, _244374, _244376, _244378, _244380]), _244380)))]]], (5802 ^ _83121) ^ [_244783, _244785, _244787, _244789, _244791] : [-(hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_244783, tc_fun(_244785, tc_HOL_Obool), _244787, _244789), _244791))), 5803 ^ _83121 : [(5804 ^ _83121) ^ [_244903] : [hBOOL(hAPP(hAPP(c_member(_244783), _244903), _244787)), hBOOL(hAPP(hAPP(_244789, _244903), _244791))]]], (5812 ^ _83121) ^ [_245280, _245282, _245284, _245286, _245288, _245290] : [-(hAPP(c_Relation_OImage(_245280, _245282, _245284), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_245286, tc_fun(_245280, tc_HOL_Obool), _245288, _245290)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_245286, tc_fun(_245282, tc_HOL_Obool), _245288, hAPP(c_COMBB(tc_fun(_245280, tc_HOL_Obool), tc_fun(_245282, tc_HOL_Obool), _245286, c_Relation_OImage(_245280, _245282, _245284)), _245290)))], (5814 ^ _83121) ^ [_245494, _245496, _245498, _245500, _245502, _245504] : [c_Equiv__Relations_Oequiv(_245494, _245496, _245498), c_Equiv__Relations_Ocongruent(_245494, tc_fun(_245500, tc_HOL_Obool), _245498, _245502), hBOOL(hAPP(hAPP(c_member(_245494), _245504), _245496)), -(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_245494, tc_fun(_245500, tc_HOL_Obool), hAPP(c_Relation_OImage(_245494, _245494, _245498), hAPP(hAPP(c_Set_Oinsert(_245494), _245504), c_Orderings_Obot__class_Obot(tc_fun(_245494, tc_HOL_Obool)))), _245502) = hAPP(_245502, _245504))], (5828 ^ _83121) ^ [_246039, _246041, _246043, _246045] : [-(hAPP(c_Relation_OImage(_246039, _246041, _246043), _246045) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_246039, tc_fun(_246041, tc_HOL_Obool), _246045, hAPP(c_COMBB(tc_fun(_246039, tc_HOL_Obool), tc_fun(_246041, tc_HOL_Obool), _246039, c_Relation_OImage(_246039, _246041, _246043)), hAPP(hAPP(c_COMBC(_246039, tc_fun(_246039, tc_HOL_Obool), tc_fun(_246039, tc_HOL_Obool)), c_Set_Oinsert(_246039)), c_Orderings_Obot__class_Obot(tc_fun(_246039, tc_HOL_Obool))))))], (5830 ^ _83121) ^ [_246264, _246266, _246268, _246270, _246272, _246274] : [hBOOL(hAPP(hAPP(c_member(_246264), _246266), _246268)), hBOOL(hAPP(hAPP(c_member(_246270), _246272), hAPP(_246274, _246266))), -(hBOOL(hAPP(hAPP(c_member(_246270), _246272), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_246264, tc_fun(_246270, tc_HOL_Obool), _246268, _246274))))], (5840 ^ _83121) ^ [] : [-(class_Lattices_Obounded__lattice(tc_HOL_Obool))], (5842 ^ _83121) ^ [_246720, _246722] : [class_Lattices_Obounded__lattice(_246720), -(class_Lattices_Obounded__lattice(tc_fun(_246722, _246720)))], (5848 ^ _83121) ^ [_246932, _246934] : [class_Lattices_Obounded__lattice(_246932), -(class_Lattices_Obounded__lattice__bot(tc_fun(_246934, _246932)))], (5854 ^ _83121) ^ [_247144, _247146] : [class_Lattices_Olattice(_247144), -(class_Lattices_Osemilattice__inf(tc_fun(_247146, _247144)))], (5860 ^ _83121) ^ [_247356, _247358] : [class_Orderings_Opreorder(_247356), -(class_Orderings_Opreorder(tc_fun(_247358, _247356)))], (5866 ^ _83121) ^ [_247568, _247570] : [class_Lattices_Olattice(_247568), -(class_Lattices_Olattice(tc_fun(_247570, _247568)))], (5872 ^ _83121) ^ [_247780, _247782] : [class_Orderings_Oorder(_247780), -(class_Orderings_Oorder(tc_fun(_247782, _247780)))], (5878 ^ _83121) ^ [_247992, _247994] : [class_Orderings_Oord(_247992), -(class_Orderings_Oord(tc_fun(_247994, _247992)))], (5884 ^ _83121) ^ [_248204, _248206] : [class_Orderings_Obot(_248204), -(class_Orderings_Obot(tc_fun(_248206, _248204)))], (5890 ^ _83121) ^ [_248416, _248418] : [class_Groups_Ominus(_248416), -(class_Groups_Ominus(tc_fun(_248418, _248416)))], (5896 ^ _83121) ^ [] : [-(class_Lattices_Obounded__lattice__bot(tc_HOL_Obool))], (5898 ^ _83121) ^ [] : [-(class_Lattices_Osemilattice__inf(tc_HOL_Obool))], (5900 ^ _83121) ^ [] : [-(class_Orderings_Opreorder(tc_HOL_Obool))], (5902 ^ _83121) ^ [] : [-(class_Lattices_Olattice(tc_HOL_Obool))], (5904 ^ _83121) ^ [] : [-(class_Orderings_Oorder(tc_HOL_Obool))], (5906 ^ _83121) ^ [] : [-(class_Orderings_Oord(tc_HOL_Obool))], (5908 ^ _83121) ^ [] : [-(class_Orderings_Obot(tc_HOL_Obool))], (5910 ^ _83121) ^ [] : [-(class_Groups_Ominus(tc_HOL_Obool))], (5912 ^ _83121) ^ [_249037, _249039] : [-(hAPP(c_COMBI(_249037), _249039) = _249039)], (5914 ^ _83121) ^ [_249164, _249166, _249168, _249170] : [-(hAPP(c_COMBK(_249164, _249166, _249168), _249170) = _249168)], (5916 ^ _83121) ^ [_249325, _249327, _249329, _249331, _249333, _249335] : [-(hAPP(hAPP(c_COMBB(_249325, _249327, _249329, _249331), _249333), _249335) = hAPP(_249331, hAPP(_249333, _249335)))], (5918 ^ _83121) ^ [_249500, _249502, _249504, _249506, _249508, _249510] : [-(hAPP(hAPP(hAPP(c_COMBC(_249500, _249502, _249504), _249506), _249508), _249510) = hAPP(hAPP(_249506, _249510), _249508))], (5920 ^ _83121) ^ [_249677, _249679, _249681, _249683, _249685, _249687] : [-(hAPP(hAPP(hAPP(c_COMBS(_249677, _249679, _249681), _249683), _249685), _249687) = hAPP(hAPP(_249683, _249687), hAPP(_249685, _249687)))], (5922 ^ _83121) ^ [_249816, _249818] : [hBOOL(hAPP(hAPP(c_fequal, _249816), _249818)), -(_249816 = _249818)], (5928 ^ _83121) ^ [_250038, _250040] : [_250038 = _250040, -(hBOOL(hAPP(hAPP(c_fequal, _250038), _250040)))], (5934 ^ _83121) ^ [_250246] : [hBOOL(hAPP(c_fNot, _250246)), hBOOL(_250246)], (5940 ^ _83121) ^ [_250441] : [-(hBOOL(_250441)), -(hBOOL(hAPP(c_fNot, _250441)))], (5946 ^ _83121) ^ [_250652, _250654] : [hBOOL(_250652), hBOOL(_250654), -(hBOOL(hAPP(hAPP(c_fconj, _250652), _250654)))], (5956 ^ _83121) ^ [_250961, _250963] : [hBOOL(hAPP(hAPP(c_fconj, _250961), _250963)), -(hBOOL(_250961))], (5962 ^ _83121) ^ [_251161, _251163] : [hBOOL(hAPP(hAPP(c_fconj, _251161), _251163)), -(hBOOL(_251163))]], input).
% 0.43/1.38  ncf('1',plain,[hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(v_F, v_Q____)), c_Arrow__Order__Mirabelle_OLin))],start(5968 ^ 0)).
% 0.43/1.38  ncf('1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), hAPP(v_F, v_Q____)), c_Arrow__Order__Mirabelle_OLin))), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_F), c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), c_Arrow__Order__Mirabelle_OProf, c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_OLin)))), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_Q____), c_Arrow__Order__Mirabelle_OProf))],extension(1600 ^ 1,bind([[_109708, _109710, _109712, _109714, _109716, _109718], [tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), v_F, c_Arrow__Order__Mirabelle_OProf, c_Arrow__Order__Mirabelle_OLin, v_Q____]]))).
% 0.43/1.38  ncf('1.1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_F), c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), c_Arrow__Order__Mirabelle_OProf, c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool)), c_Arrow__Order__Mirabelle_OLin)))))],extension(1397 ^ 2)).
% 0.43/1.38  ncf('1.1.2',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_Q____), c_Arrow__Order__Mirabelle_OProf)))],extension(1125 ^ 2)).
% 0.43/1.38  %-----------------------------------------------------
% 0.43/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------